which expression is not equavilent

Which Expression Is Not Equavilent

Answers

Answer 1

Answer:

[tex]\huge\boxed{\sf Option \ 2}[/tex]

Step-by-step explanation:

Given that,

8 + (n - 4)

According to Associative Property:

A + (B + C) = (A + B) + C

Using Associative property for the given expression.

We get:

(8 + n) - 4

[tex]\rule[225]{225}{2}[/tex]

Answer 2

The answer to this question is = 12 + n is the expression not equivalent to 8 + (n - 4)

Let us consider any random value of n for example let us take the value of n = 5

As per the original equation given in question 8 + (n - 4) if we substitute the value of n = 5

= 8+ (5 - 4)

= 8+1

= 9

Now we will be substituting the value of n in all the answer options-

Option 1- (8 - 4) + n

= (8 - 4) + 5

= 4 + 5

= 9

Therefore, this answer matches the original equation so this is not the correct option

Option 2- (8 + 4) - n

= (8 + 4) - 5

= 13 - 5

= 9

Therefore, this answer matches the original equation so this is not the correct option

Option 3- n+4

= 5 + 4

= 9

Therefore, this answer matches the original equation so this is not the correct option

Option 4- 12 + n

= 12 + 5

= 17

Therefore, this answer does not match the original equation so the correct option is = 12 + n

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Related Questions

Write the expression x2 - 6x-2 in the form (x + a)² + b

Answers

Answer:

(x - 3)² - 11

--------------------------

Given

Expression  x² - 6x - 2.

Convert this to vertex form by completing the square.

Recall identity (a ± b)² = a² ± 2ab + b² and apply as given below:

x² - 6x - 2 = x² - 2*3*x + 3² - 3² - 2 = (x - 3)² - 9 - 2 = (x - 3)² - 11

Answer:

[tex](x-3)^2-11[/tex]

Step-by-step explanation:

Given quadratic expression:

[tex]x^2-6x-2[/tex]

To write the given expression in the form (x + a)² + b, complete the square.

Add and subtract the square of half the coefficient of the term in x:

[tex]\implies x^2-6x+\left(\dfrac{-6}{2}\right)^2-2-\left(\dfrac{-6}{2}\right)^2[/tex]

Simplify:

[tex]\implies x^2-6x+\left(-3\right)^2-2-\left(-3\right)^2[/tex]

[tex]\implies x^2-6x+9-2-9[/tex]

The first three terms x² - 6x + 9 form a perfect square trinomial.

A perfect square trinomial can be written as the square of a binomial.

Factor the perfect square trinomial:

[tex]\implies(x-3)^2-2-9[/tex]

Simplify:

[tex]\implies(x-3)^2-11[/tex]

Therefore, the given expression written in the form (x + a)² + b is:

[tex]\boxed{(x-3)^2-11}[/tex]

Determine whether the equation is true or false. Where​ possible, show work to support your conclusion. If the statement is​ false, make the necessary​ change(s) to produce a true statement.
log(x+3)-log(8x)=log(x+3)/log(8x)
if false make necessary changes to produce a true statement

Answers

Use of identity:

[tex]log_a\ (b) - log_a\ (c)=log_a\ (b/c)[/tex]

When it is applied to given it should be:

[tex]log\ (x+3)-log\ (8x)=log\ [(x+3)/(8x)][/tex]

So the RHS of the given equation is incorrect.

Solve x2 = 36 for x.

Answers

Answer:

x=18

36/2=18

all good.

Use the formula A=P(1+r/n)ⁿt to solve the compound interest problem
Find how long it takes a $ 1700 investment to earn $ 500 interest if it is invested at 2 % interest compounded quarterly.
$ 500 interest will be earned in approximately years. (Round to the nearest tenth.)

Answers

The compound interest is 61.342 years.

What is compound interest?

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period. It is different from simple interest, where interest is not added to the principal while calculating the interest during the next period.

To find the time period the interest must be compounded quarterly.

Calculated twelve times a year is interest that is compounded monthly. Interest is calculated on a quarterly compound basis, four times a year.

Given that;

               A = 1700                         P = 500

                 r = 2%                          n = 4

                   = 2/100

                 r = 0.02 /year

 Using the formula  A=P(1+r/n)ⁿt  find the time period (t)

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(1,700.00/500.00) / ( 4 × [ln(1 + 0.02/4)] )

t = ln(1,700.00/500.00) / ( 4 × [ln(1 + 0.005)] )

t = 61.342 years

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Write a function g whose graph is a horizontal shrink by a factor of 1/3
of the graph of f. F(x)=2|x+3|-2

Answers

Answer:

g(x) = 6|x + 1| - 2

-----------------------------------------

Given:

Function f(x) = 2|x + 3| - 2

Find a function g which is a horizontal shrink by a factor of 1/3 of f(x).

Horizontal shrink by a factor of k is:

g(x) = f(x/k)

Apply this to the given function:

g(x) = f(x : 1/3) = f(3x) = 2|3x + 3| - 2 = 6|x + 1| - 2

Graph the line with y-intercept.....
Can you also mark the two points on the graph.

Answers

y = 1/5x + 7
Two points would be (0,7) and (5,8)

Is 5/6 greater than 10/12

Answers

Answer:

Step-by-step explanation:

Clearly, it can be seen that 10/12 represents the largest fraction. Hence 5/6 (which is equivalent to 10/12) is larger than 2/3 or 3/4.

Answer: no they are equal either simplified to 5/6 or decimal 0.83 repeating decimal.

Step-by-step explanation:

Find the absolute extrema if they exist, as well as all values of x where they occur, for the function f(x)=(x²-64)^{1/11} on the domain [-8,9]
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. The absolute maximum is , which occurs at x= (Round the absolute maximum to two decimal places as needed. Type an exact answer for the value of x where the maximum occurs. Use a comma to separate answers as needed.)
B. There is no absolute maximum.

Answers

The absolute maximum is 1.29, which occurs at x= 9

What is absolute extrema?

An absolute extremum  of a perform in an exceedingly given interval is that the purpose at that a most or minimum worth of the perform is obtained. Frequently, the interval given is that the function's domain, and therefore the absolute extremum is that the purpose admire the most or minimum worth of the complete perform.

Main body:

Given =

f(x) = [tex](x^{2} -64)^{1/11[/tex]

f' (x) = derivative of function f(x)

f'(x) = 1/11[tex](x^{2} -64)^{-10/11[/tex] . 2x

     = [tex]2 \frac{x}{11}[/tex][tex](x^{2} -64)^{-10/11[/tex]

putting f'(x) = 0

2x/11 [tex](x^{2} -64)^{-10/11[/tex] = 0

         [tex](x^{2} -64)^{-10/11[/tex] = 0

                     [tex]x^{2} -64[/tex] = 0

 x² = 64

x = ±8

We are given interval [-8,9].

Hence, calculating f(x) at -8, 8, 9.

f(-8) =  0

f(8) = 0

f(9) = [tex]17^{1/11}[/tex]

      = 1.29

Hence, absolute maximum value is 1.29 at x=9.

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Melvin and Sylvia are married with no children, and they're filing their federal income tax return. Melvin had a gross income of $44,500 last year, while Sylvia had a gross income of $51,200, and they plan to use the standard deduction. They're trying to decide whether to file their return jointly or separately, so they want to calculate how much less they would pay in federal income taxes if they filed jointly rather than separately. part 2

Answers

Answer: 3702

Step-by-step explanation: from plato

16

22

34

52

76

?


Select one:

a.
106


b.
137


c.
89


d.
105

Answers

Answer:

106

Step-by-step explanation:

The pattern goes +6, +12, +18, etc

Thus, the final term is simply +30.


76+30 = 106

Hope it helps :) and let me know if you want me to elaborate.

Suppose your gross monthly income is $6,500 and your current monthly payments are $525. If the
bank will allow you to pay up to 38% of your gross monthly income (less current monthly payments)
for a monthly house payment, what is the maximum loan you can obtain if the rate for a 25-year
mortgage is 8.65%?

Answers

The maximum loan you can obtain if the rate for a 25-year mortgage is 8.65% is $298,853.76

How to find monthly payment?

A monthly payment can be calculated as;

Monthly payment = (Monthly income - payment)(percentage payment)

38% of your gross monthly income is

 0.38 × $6,500 = $2470

If you're already spending $525 on monthly payments, the amount the bank says you can afford for a mortgage loan;

Then

$2470-525= $1945

The amortization formula can be used to find the corresponding loan value.

A = P(r/25)/(1 -(1 +r/25)^(-25t))

where A is the monthly payment on a loan of P at interest rate of r for time t years.

Filling in the known values, we have ;

 1945= P(.0525/25)/(1 -(1 +.0525/25)^(-12·30))

≈ 0.00515636808·P

Then the maximum loan can obtain is

 P = $1945/0.00515636

P ≈ $298,853.76

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HELPPP PLEASE ASPPP!!!!!!
Examine the graph below. Calculate the slope.

Answers

Slope of line is 1/2.

What is slope?

In arithmetic, the slope or gradient of a line is a range that describes each the direction and therefore the gradient of the road.

Main body:

to find the slope from a graph , we need to fix two co-ordinates at slope for axis

let point at x be = (40,40)

let point y = (80,60)

Formula for slope ,

m = y₂-y₁/x₂-x₁

m = 60-40/80-40

m = 20/40

m = 1/2

hence , slope of line is 1/2.

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Select the correct answer. What happens if the correlation coefficient equals 0? A. There is a strong negative linear relationship between x and y. B. There is not a linear relationship between x and y. C. There is a strong positive linear relationship between x and y. D. There is a weak negative linear relationship between x and y. Reset Next

Answers

By the Definition of a Correlation Coefficient,

x and y do not have a linear relationship.

Option B is the correct answer.

What Is the Definition of a Correlation Coefficient?

The correlation coefficient describes the movement of one variable in relation to another. A positive correlation indicates that the two are moving in the same direction, with 1 denoting a perfect positive correlation. A value of -1 indicates a perfect negative, or inverse, correlation, while a value of zero indicates that no linear correlation exists.

What does a correlation between 0 and +1 mean?

The number's value indicates the strength of the relationship: r = 0 indicates that there is no correlation. r = 1 indicates that there is a perfect positive correlation. r = -1 shows a perfect negative correlation.

According to the question, If the correlation coefficient is zero, there is no linear relationship.

If the correlation coefficient is zero, the relationship between x and y is not linear. Another possible relationship (such as an exponential or quadratic) could exist, but this is dependent on the scatter plot provided.

By the Definition of a Correlation Coefficient,

Option B is the correct answer.

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By the Definition of a Correlation Coefficient, X and Y do not have a linear relationship. Option B is the correct answer.

What Is the Definition of a Correlation Coefficient?

The correlation coefficient describes the movement of one variable in relation to another. A positive correlation indicates that the two are moving in the same direction, with 1 denoting a perfect positive correlation. A value of -1 indicates a perfect negative, or inverse, correlation, while a value of zero indicates that no linear correlation exists.

What does a correlation between 0 and +1 mean?

The number's value indicates the strength of the relationship: r = 0 indicates that there is no correlation. r = 1 indicates that there is a perfect positive correlation. r = -1 shows a perfect negative correlation.

According to the question, If the correlation coefficient is zero, there is no linear relationship.

If the correlation coefficient is zero, the relationship between x and y is not linear. Another possible relationship (such as an exponential or quadratic) could exist, but this is dependent on the scatter plot provided.

By the Definition of a Correlation Coefficient,

Option B is the correct answer.

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In 2010, a total of 2187 of the employees at Zoe's company owned a petrol
car.
In 2013, there were 1029 employees with petrol cars.
Assuming this number decreases exponentially, work out how many
employees owned a petrol car in 2017.
Give your answer to the nearest integer.

Answers

The number of employees with petrol cars is 423

Exponential Decay:  

In exponential decay, a quantity initially drops gradually before decreasing quickly. Finding the exponential drop of a fast reduction over time is made easier by the exponential decay formula.

The exponentially decreasing formula is used to calculate the radioactivity decay, population decay, and half-life.

The formula for Exponential Decay is given by

                     f(x) = a (1 - r)ˣ

Here we have

In 2010, a total of 2187 of the employees at Zoe's company owned a petrol car.

In 2013, there were 1029 employees with petrol cars.  

The number of cars decreases exponentially,  

As we know the formula for Exponential Decay, A = P (1 - r)^t

From the given data,  a = 2187 and t = 3

The number of cars decreased = 2187 (1 - r)³

=> 2187 (1 - r)³ = 1029  

=> (1 - r)³ = 1029/2187

=> (1 - r)³ = 343/729  

=> (1 - r)³ = 7³/ 9³

=> 1 - r = 7/9

=> r = 1 - 7/9

=> r = 2/9

=> r = 0.2222

 

The Number of cars in 2017 i.e after 4 years from 2013

=> (1029)(1 - 0.2222)⁴

=> 423.0721516 ≅ 423          

Therefore,

The number of employees with petrol cars is 423

   

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A sample of 38 observations is selected from one population with a population standard deviation of 3.0. The sample mean is 100.5. A sample of 50 observations is selected from a second population with a population standard deviation of 5.2. The sample mean is 98.8. Conduct the following test of hypothesis using the 0.02 significance level.

P value?

Answers

A hypothesis is an assumption, an idea that is proposed for the sake of argument so that it can be tested to see if it might be true.

What is the hypotheses in research?A hypothesis states your predictions about what your research will find. It is a tentative answer to your research question that has not yet been tested. For some research projects, you might have to write several hypotheses that address different aspects of your research question.Hypotheses are used to support scientific research and create breakthroughs in knowledge. These brief statements are what form the basis of entire research experiments. Thus, a flaw in the formulation of a hypothesis may cause a flaw in the design of an entire experiment.

a. two-tailed test

b. reject H0 if Z>1.96 or Z<-1.96

c. Z = 1.73

d. we have failed to reject the null hypothesis

e. P-value = 0.0418

We will use a Z test to resolve this, an it will be a two-tailed test because the hypothesis statements are not indicating a specific direction for the significant difference (H0 : μ1 = μ2 ; H1 : μ1 ≠ μ2), this also means that the significanclevel will be divided between the both tails (2.5%  en each tail for the rejection regions). See attached drawing for reference.

We need to find our critical value:

Zα/2 = Z(0.05/2) = 0.025

If we look for 0.025 in a Z table we will find that the critical value is 1.96 to the right, and by symmetry -1.96 to the left. So our decision rule will be to reject H0 if Z>1.96 or Z<-1.96

The Z test will be done using the next equation:

Z = (x⁻1 - x⁻2) - (μ1 - μ2) / √( σ²1/n1 + σ²2/n2

Because we are testing the null hypothesis we know that μ1 - μ2 must be zero if they are supposed to be equal (H0 : μ1 = μ2), so we calculate as follows:

Z = (100.5 - 98.8) - (0) / √( (3.4)²/38 + (5.8)²/51 = 1.7/0.9817 = 1.73

Z<1.96, therefore we have failed to reject the null hypothesis

The P-value for this test would be represented by the probability of Z being greater than 1.73, so we can look for it in any Z table, finding that its value is 0.0418, and because P-value>0.025 we again confirm that we don't have evidence statistically significant to reject the null hypothesis

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Suppose you can afford to pay $ 325 a month for 9 years towards a new car with no down payment. If the current interest rates are 4.75%, how expensive a car can you afford?
Car sticker price =

Answers

Based on the given parameters, the car would be $497.9 expensive in 9 years

How to determine the amount in nine years?

The given parameters about the compound interest are

Principal Amount, P = $325Interest Rate, R = 4.75%Time, t = 9 years

Compound interests are different from simple interest, and they are calculated using the following compound interest formula

CI = P(1 + R)^t - P

To calculate the amount, we have:

A = P + CI

So, the equation becomes

A = P + P(1 + R)^t - P

Evaluate the like terms

A = P(1 + R)^t

In this case, we introduce the variable n

So, we have

A = P(1 + R/n)^nt

Where n is the number of times in a year

i.e. n = 12

Substitute the known values in the above equation

A = 325 * (1 + 4.75%/12)^(12 * 9)

Evaluate the percentages and the quotients

A = 325 * (1 + 0.0039583)^(108)

Evaluate the sum

A = 325 * (1 .0039583)^(108)

Evaluate the exponent

A = 325 * 1.532

Evaluate the product

A = 497.9

Hence, the value of the investment after 9 years is $497.9

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DIRECTIONS: Use this information to answer Parts A and B.
A faucet supplies water at a constant rate. After 3 minutes, the faucet supplies 12 liters of water.
Part A
Use the Line Tool to graph the proportional relationship that gives the number of liters of water the facet supplies, y, after x minutes.

Answers

The required proportional relationship is given as y = 4x and shown in the graph.

What is proportionality?

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

here,
According to the question,
The proportional relationship gives the number of liters of water the facet supplies, y, after x minutes,
y = kx - - - - - (1)
Put x = 3 so y = 4
12 = k[3]
k = 4

From equation 1,
y = 4x

Thus, the required proportional relationship is given as y = 4x and shown in the graph.

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bus company uses a grid to locate bus stops. The bus station is at (3, 4). The point (7, 6) represents the first bus stop. The location of each stop after that is determined using the same relationships as those between the coordinates of the bus station and the first bus stop. A coordinate plane is titled Which point represents the fourth bus stop? A. (11, 8) B. (13, 12) C. (15, 10) D. (19, 12) 7 / 7 6 of 7 Answered

Answers

Answer:

I think that's 11,8

Step-by-step explanation:

Hope its right

John paid $280 for a new mountain bicycle to sell in his shop. He wants to price it so that he can offer a 30% discount but still make 10% of the price he paid for it. At what price should the bike be marked?

Answers

By using the concept of discount, it can be calculated that

The bike should be marked at $440

What is discount?

Sometimes during sale, the items are sold at a reduced price from the original price of the item. The difference between the reduced price and the original price of the item is called discount.

Price paid by John for a new mountain bike = $280

Markup price = [tex]\frac{10}{100} \times 280[/tex] = $28

Price after markup = $(280 + 28) - $308

Let the marked price be $x

Rate of discount = 30%

Discount = [tex]\frac{30}{100}\times x[/tex]

Price after discount = [tex]x - \frac{30}{100}\times x[/tex]

                                 = [tex]\frac{100x - 30x}{100}[/tex]

                                 = [tex]\frac{70}{100}x[/tex]

By the problem,

[tex]\frac{70}{100}x = 308\\x = \frac{308 \times 100}{70}\\[/tex]

x = $440

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a building has a height of 250 in length of 160 m on a scale drawing of the building the height is 50 cm what is the length of the building on the scale drawing a centimeters​

Answers

The required length of the building is given as 32 cm.

What is the scale factor?

The scale factor is defined as the ratio of the modified change in length to the original length.

Here,
The height of the building is 250 meters, the length of the building is 160m, and on the drawing, the height of the building is 50 cm,
Scale factor = height on drawing / original height
Scale factor = 50 / 250
Scale factor = 1/5

Now,
Length in drawing = scale factor × original length,
length in drawing = 1 / 5 × 160
                           = 31

Thus, the length of the building as of the scale factor 1/5 is given as 31 cm.

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a circular plate has a radius of 12 inches complete the table included a number and a unit in the last column

Answers

The area and the circumference of the circular plate is 452.16 in² and  75.36 in

What is area and circumference of circular plate?

The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The region a circle occupies is determined by its area. The length of a straight line drawn from the centre of a circle equals the diameter of that circle. It is typically expressed in units like cm or unit m.a closed circle geometric shape in space. A circle is a locus of a point moving around a fixed point at a defined distance from the point in mathematical terms. A circle is essentially a closed curve with an outer line that is equally spaced from the center.

Area of circular plate , A = πr²

=3.14 * 12 * 12

= 452.16 in²

Circumference of the circular plate, C = π * 2r

= 3.14 * 2 * 12                
= 75.36 in

Hence, the area and the circumference of the circular plate is 452.16 in² and  75.36 inches.

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what is the solution for

an= -3an-1-3an-2-an-3, a0=1, a1=0, a2=5

a) (-1-4n+3n^2)(-1)^n
b) (1-4n-3n^2)(-1)^n
c) (1+4n+3n^2)(-1)^n

Answers

Answer:

  none of the above

  (1 -4n +3n^2)(-1)^n

Step-by-step explanation:

You have the recursive relation {a[0]=1, a[1]=0, a[2]=5, a[n]=-3a[n-1] -3a[n-2] -a[n-3]} and you want to know the explicit relation.

Test a few

The given initial value a[0] = 1 rules out choice A.

The value a[1] = 0 rules out choices B and C.

Actual solution

We observe that changing the sign of the constant in the first choice will make it match the sequence:

  (1 -4n +3n^2)(-1)^n . . . . . . the solution for the recursive equation

Hassan is cooking some rice the recipe says he needs 450 grams of rice for 6 people how many kilograms or rice would he need for 18 people?

Answers

450 = 6 people

6 x 3 = 18

450 x 3 = 1, 350

1, 350 grams of rice is needed to feed a total of 18 people

Answer:

450 g = 6 people

? kg = 18 people

450 x 18 = 8100

8100 = 6x

8100/6 = 6x/6

x = 3150 kg of rice is needed for 18 people.

if you roll die, what is the probability of rolling a numbe rless than 4 or rolling an odd number

Answers

The probability of rolling an odd number or a number less than 4 is 2/3.

What is probability?

The degree to which something is likely; the probability that something will occur or will be the case.

Here, we have

Given

A single die is rolled.

Sample space = {1, 2, 3, 4, 5, 6}

Let P(A) be the probability of getting an odd number, where A = {1, 3, 5}

Let P(B) be the probability of getting a number less than 4,

where B = {1,2,3}

A ⋂ B ={1, 3}

P(A) = 3/6 = 1/2

P(B) = 3/6 = 1/2

P(A ⋂ B) = 2/6 = 1/3

Let P be the required probability of getting an odd number or a number less than 4

P = P( A ⋃ B ) = P(A) + P(B) - P(A ⋂ B)

P( A ⋃ B ) = 1/2 + 1/2 - 1/3

P( A ⋃ B ) = 1 - 1/3

P( A ⋃ B ) = 2/3

Hence, the probability of rolling an odd number or a number less than 4 is 2/3.

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tell how you can use the structure of mathematics to complete the task

Answers

Answer: It is crucial for students to look for and make use of a structure because this practice requires them to reason about the underlying mathematical structure and unity of mathematics ideas.

rectangle abcd is similar to rectangle wxyz what is the value of ab if wx is 8 feet ad is 12 feet and wz is 16feet

Answers

The value of AB is 6 units.

What are Similar Rectangles ?

Similar rectangles states that the corresponding sides are in proportion.Two rectangles are similar when the corresponding adjacent sides have the same ratio. We do not need to check the angles as all angles in a rectangle are 90 degrees.

As per the statement:

Rectangle ABCD is similar to rectangle WXYZ.

WX = 8 feet, AD = 12 feet and WZ = 16 feet.

Since. Rectangle ABCD and rectangle WXYZ are similar

then;

their corresponding sides are in proportion:

[tex]\frac{AB}{WX} =\frac{BC}{XY} = \frac{CD}{YZ} =\frac{AD}{ZW}[/tex]

To find the value of AB:

[tex]\frac{AB}{WX} =\frac{AD}{ZW}[/tex]

Substitute the given values we have;

[tex]\frac{AB}{8} =\frac{12}{16}[/tex]

Multiply both sides by 8 we have;

[tex]AB = \frac{12}{16} * 8 = 6[/tex]

Therefore, the value of AB is 6 units.

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7.) Given the following triangle, what is the value of x and the value of y ?

Answers

Answer: x = 36;  y = 36

Step-by-step explanation:

This is an isosceles triangle, so the 2 "bottom" angles are equal:

2x = 72

x = 72/2 = 36

sum of interior angles = 180

180 - 72 - 72 = 36

a sample of 79 eggs yields a sample mean weight of 1.00 ounces. assuming that the population standard deviation

Answers

The margin of error for 16 eggs with sample means 2 ounce and standard deviation as 42 ounces is   18.407   .

In the question ,

it is given that ,

the number of eggs = 16

the sample means weight is = 2 ounce .

the standard deviation is = 42 ounces .

we have to find the margin of error .

degree of freedom is 16 - 1 = 15 .

and the t score for the 90% confidence interval is

t₁₅,₀.₀₅ = 1.753

So , the margin of error is =  t₁₅,₀.₀₅×(standard deviation/√n)

Substituting the values ,

we get ,

= 1.753×(42/√16)

On simplifying further ,

we get ,

= 18.407

Therefore , the margin of error is = 18.407 .

The given question is incomplete , the complete question is

A sample of 16 eggs yields a sample mean weight of 2.00 ounces and a sample standard deviation = 42.0 ounces, find the margin of error in estimating a confidence interval estimate at the 90% level of confidence. Round your answer to three decimal places. You may assume that egg weights are normally distributed .

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A mural is feet long and is divided into 7 equal-length panels. How many feet long is each panel?

Answers

The required length of each panel would be 1 feet.


Given that,
A mural is 7  feet long and is divided into 7 equal-length panels. How many feet long is each panel to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
The required length of each panel = total length of the panel / 7
                                                     = 7 / 7 = 1 feet

Thus, the required length of each panel would be 1 feet.

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The classroom outside bag had 5 frisbees in it. If 25% of the outside toys are frisbees, then how many total toys are in the bag?

Answers

Answer: 15, not including the frisbees. (The answer would be 20 if the frisbees were in there)

Step-by-step explanation: 25% is equivalent to 1/4, and 5 is equal to 1/4. The simplest way to solve this is to multiply 5 by 4, and you'll get 20. Then subtract 5 (the frisbees) and you'll get 15. (Sorry if that doesn't make much sense haha) Hope this helps!!

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