An ice cream shop sells a small bowl of ice cream for $2.25 and a large bowl for $3. One day, the shop sold 63 bowls of ice cream and made $159. How many of each size bowl did the shop sell?

The estimated value was 9,000,000,000 strawberries sold this year than last year.

As per the given information, the required solution would be as:

We must calculate the most accurate estimate of the number of strawberries sold this year and the previous year.

Rounding up to the closest full number is the best approximation.

This year, 7,234,267,990 strawberries were purchased.

Last year, 2,000,900,999 strawberries were purchased.

Based on the above value, the estimated number of strawberries sold this year and the previous year is:

= 7,000,000,000 + 2,000,000,000

= 9,000,000,000

Thus, the estimated value was 9,000,000,000 strawberries sold this year than last year.

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1a

f is inversely proportional to d² so when d is d f=10N and when d is doubled F is 5/2N

1bi K=Fd²

1bii

since K=fd² when d is 3cm and F is 2N k=18

then when d=5

F is 18/25N

Answer:

  see below

Step-by-step explanation:

You want examples of use of the rules of logarithms:

  [tex]\begin{array}{ll}\vphantom{\dfrac{M}{gN}}1.&\log_b{(MN)}=\log_b{(M)}+\log_b{(N)}\\2.&\log_b{\left(\dfrac{M}{N}\right)}=\log_b{(M)}-\log_b{(N)}\\\vphantom{\dfrac{b}{g}}3.&\log_b{(M^a)}=a\cdot\log_b{(M)}\end{array}[/tex]

The point of these is that M and N and 'a' and 'b' can be anything. (Generally, 'b' will be a positive number greater than 1.) For the purpose here, we can let M ∈ {x^3y, (1+r)}, N ∈ {(x-4), r/n}, a ∈ {4, -3}, b ∈ {2, e}.

Using these values in various combinations, your examples could be ...

  [tex]\log_2{((x^3y)(x-4))}=\log_2{(x^3y)}+\log_2{(x-4)}\\\\\ln{((1+r)(r/n))}=\ln{(1+r)}+\ln{(r/n)}\\\\ \log_2{((x^3y)(r/n))}=\log_2{(x^3y)}+\log_2{(r/n)}[/tex]

  [tex]\log_2{\left(\dfrac{x^3y}{x-4}\right)}=\log_2{(x^3y)}-\log_2{(x-4)}\\\\\\\ln{\left(\dfrac{1+r}{r/n}\right)}=\ln{(1+r)}-(\ln{(r)}-\ln{(n)})\\\\\\ \log_2{\left(\dfrac{x^3y}{r/n}\right)}=\log_2{(x^3y)}-(\log_2{(r)}-\log_2{(n)})}[/tex]

  [tex]\ln{(x^3y)^4}=4\ln(x^3y)=4(3\ln{(x)}+\ln{(y)}=12\ln{(x)}+4\ln{(y)}\\\\\log_2{(1+r)^{-3}}=-3\log_2{(1+r)}\\\\\log_2{(x^3y)^{-3}}=-3\log_2{(x^3y)}=-9\log_2{(x)}-3\log_2{(y)}[/tex]

Answer:

12.5%

Hope this helps!

Answer:

The percentage of times the students marked will be 12.5%.

Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

A student was marked tardy five different times in a 40-day period.

Percentage of 5 among 40 →

(5/40) x 100 = 12.5%

Answer:

$337.50

Step-by-step explanation:

To find the total cost of the uniforms, you will need to find the unit price of the shirts and the unit price of the shorts and then multiply each by the number of shirts and shorts, respectively.

The unit price of the shirts is the total cost divided by the number of shirts, or $180 / 15 shirts = 12/shirt.

The unit price of the shorts is

$12/shirt - $1.50/shirt = 10.5/shirt.

Since the coach bought the same number of shirts and shorts, the total number of shirts and shorts is 15 shirts + 15 shorts = 30 shirts and shorts.

The total cost of the shirts is $12/shirt * 15 shirts = $12*15 = 180.

The total cost of the shorts is $10.5/shirt * 15 shirts = 157.5

The total cost of the uniforms is the sum of the cost of the shirts and the cost of the shorts, or $180 + 157.5= 337.5.

Therefore, the total cost of the uniforms for the team is $337.5.

The greatest possible integer that could be in this set is 43.

The group of 15 different integers in this instance has a range of 25 and a median of 25. The greatest value that can be entered will be limited by that range.

With a median of 25, we can deduce that 7 numbers fall within the range of 25 and above, and 7 numbers fall within this range.

We must increase the smallest value in order to increase the largest value. Here's how to accomplish it:

18 19 20 21 22 23 24 25

With 18 as the lowest value and a range of 25, 43 would be the highest value.

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Answer:

Step-by-step explanation:

d

Answer:

d

Step-by-stedp explanation:

Model III represents a function by vertical line test.

What is Vertical line test?

The vertical line test is a graphical method of determining whether a curve in the plane represents the graph of a function by visually examining the number of intersections of the curve with vertical lines.

The vertical line test concludes that a curve in the plane represents the graph of a function if and only if no vertical line intersects it more than once.

According to the given question:

Graph I has vertical line intersections more than one on many points of the curve. Therefore, Graph I does not represents a function.

Model II has two values for the domain point that is -5 has two images 2 and 10. Hence it does not represents a function.

Graph III has only one intersection by vertical lines on the curve. Therefore, Graph III represents a function.

Graph IV has two intersection points if a vertical line passes through the curve. Hence, Graph IV does not represents a function.

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Answer: You should add the equation

Step-by-step explanation: I see here that you already have perfect 3x and -3x, so the best way is to add them and eliminate the x to find the y first and then put the y back in the equation and solve for the x!

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The value of the composite function is (hog)(x) = 3x²- 13.

What is a composition function?

Function composition is an operation used in mathematics that takes two functions, f, and g, and creates a function, h = gof, such that h(x) = g. The function g is applied in this operation on the outcome of applying the function f to x.

The functions are g(x)=x²-5 and h(x) = 3x + 2

The composition function (hog)(x) can be written as (hog)(x) =h(g(x))

Putting g(x)=x²-5 in (hog)(x) =h(g(x)):

(hog)(x) =h(x²-5)

Now putting x= (x²-5) in h(x) = 3x + 2:

h(x²-5) = 3(x² - 5) + 2

h(x²-5) = 3x² - 15 + 2

h(x²-5) = 3x² - 13

Therefore (hog)(x) = 3x² - 13.

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On solving the provided question, we got that - question is based on the solving the fraction, so the correct option is [tex]\frac{y+1}{y-1} \\[/tex]  that is  is  equivalent to the given  complex fraction.

Any mathematical statement made up of numbers, variables, and an operation between them is called an expression or an algebraic expression. As an illustration, the expression 4m + 5 consists of the terms 4m and 5, as well as the variable m, all of which are separated from one another by the arithmetic sign +.

Here the Expression, we have is -

[tex]\frac{ 1 + \frac{1}{y}}{1 - \frac{1}{y} }[/tex]

We must figure out the expression that equals the provided complex fraction.

The answer to the query is

Take the LCM of the numerator and denominator first.

We get,

[tex]\frac{ \frac{y+1}{y}}{\frac{y-1}{y} }[/tex]

[tex]\frac{y+1}{y} X \frac{y}{y-1}[/tex]

[tex]\frac{y+1}{y-1} \\[/tex]

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Answer:

DF= 16m

JH= 14m

GJ= 19m

Step-by-step explanation:

turn the triangles until they overlap each other

since they are congruent, the measure of one angle will be the same for the other one

Answer:

DF= 16m    JH= 14m     GJ = 19m

Step-by-step explanation:

We know the two figures are equal to each other. So to find the missing sides just refer to the other figure with the included side.

The reason for why the confidence intervals help researchers attain their purpose of using a sample to understand a population is given below .

In the question ,

we have been asked how does the confidence interval help researchers to attain the purpose of using a sample to understand a population ,

we know that , the confidence interval is calculated from an estimate of how far away our sample mean is from actual population mean .

the confidence interval are useful because ,

(i) by calculating the confidence intervals around any data we collect, we have additional information about the likely values we are trying to estimate .

(ii) they make data analyses richer and help us to make more informed decisions about the research questions .

Therefore , the reason how confidence interval helps is mentioned above.

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Theoretical Probability because its what should happen but experimental is what happens

What is Probability ?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

it is binomial probability p=3/15 = 1/5 = 0.2

or at the very least geometric

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By cross multiplication, the result for each pair of rational numbers are listed below:

Cross multiplication is a property involving multiplication and division between the terms of two rational numbers of the form:

a / b = c / d

Where a, b, c, d are real numbers. Combinations between a numerator and a denominator are multiplications and combinations between two numerators and two denominators are divisions. Now we proceed to solve on each case:

Case 11

4 / x = 2 / 7

4 · 7 = 2 · x

28 = 2 · x

x = 14

Case 12

19 / 10 = x / 12

19 · 12 = 10 · x

228 = 10 · x

x = 114 / 5

Case 13

(x - 1) / 6 = 13 / 19

(x - 1) · 19 = 13 · 6

(x - 1) · 19 = 78

x - 1 = 78 / 19

x = 1 + 78 / 19

x = 97 / 19

Case 14

5 / 17 = 19 / (x + 4)

5 · (x + 4) = 19 · 17

x + 4 = 323 / 5

x = 318 / 5

Case 15

10 / (2 · x - 9) = 20 / 9

10 · 9 = 20 · (2 · x - 9)

90 / 20 = 2 · x - 9

27 / 2 = 2 · x

27 / 4 = x

x = 27 / 4

Case 16

12 / 18 = (3 · x + 4) / 15

2 / 3 = (3 · x + 4) / 15

10 = 3 · x + 4

3 · x = 6

x = 2

Case 17

(x - 20) / 3 = (x - 11) / 18

18 · (x - 20) = 3 · (x - 11)

18 · x - 360 = 3 · x - 33

15 · x = 327

x = 109 / 5

Case 18

6 / (x + 16) = 7 / (3 · x + 3)

6 · (3 · x + 3) = 7 · (x + 16)

18 · x + 18 = 7 · x + 112

11 · x = 94

x = 94 / 11

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Answer:

  MN = 50

Step-by-step explanation:

You want the length of the base segment MN in triangle MNO, where MN is marked 41+3x and parallel midsegment PQ is marked 49-8x.

The midsegment is half the length of the parallel base segment. That means the base segment is double the length of the midsegment:

  MN = 2·PQ

  41 +3x = 2(49 -8x)

  41 +3x = 98 -16x

  19x = 57 . . . . . . . . add 16x-41

  x = 3

  MN = 41 +3x = 41 +3·3 = 50

The length of MN is 50 units.

Answer:m,m,

Step-by-step explanation:

Answer:

Zeros:

Step-by-step explanation:

Given quadratic polynomial:

[tex]x^2+x -20[/tex]

The zeros of a function f(x) are the x-values that satisfy the equation f(x)=0.  

Therefore, to find the zeros of the given function, set it to zero and solve for x.

Factor the quadratic:

[tex]\implies x^2+x-20=0[/tex]

[tex]\implies x^2+5x-4x-20=0[/tex]

[tex]\implies x(x+5)-4(x+5)=0[/tex]

[tex]\implies (x-4)(x+5)=0[/tex]

[tex]\boxed{\begin{minipage}{8.4 cm}\underline{Zero Product Property}\\\\If $a \cdot b = 0$ then either $a = 0$ or $b = 0$ (or both).\\\end{minipage}}[/tex]

Apply the Zero Product Property:

[tex]\implies x-4=0 \implies x=4[/tex]

[tex]\implies x+5=0 \implies x=-5[/tex]

Therefore, the zeros of the given quadratic polynomial are:

Answer:

the slope is 0.5 or 1/2

Step-by-step explanation:

3x - 6y = 90

-6y = -3x + 90

y = 0.5x + 90

Answer:

slope= 1/2

Step-by-step explanation:

3x-6y=90

rewrite the equation into slope intercept form

y=1/2x-15

subtracting is the same as adding the opposites

y=1/2x+(-15)

since the equation is written in slope intercept form, y=mx+b, identify the slope of the line as the coefficient next to the variable x

y=1/2x+(-15), m=1/2

identify the y intercept of the lines as the constant term

y=1/2x+(-15),m(slope)=1/2,b=-15

The anticipated value and standard error are 0.75 and 0.0306, respectively.

If n is the sample size and p is the genuine population proportion, then the sampling distribution of a sample proportion is thought to adhere to the normal distribution.

As per the given question;

Let P' represents the sample proportion.

Regarding the sample proportion's sampling distribution:

The anticipated value is calculated using,

μp = P

μp = 0.75

As a result, 0.75 is the expected value.

Now, for the standard deviation-

σp = √P(1 -P)/n

σp = √0.75(1 - 0.75)/200

σp = 0.0306

Because the standard error is specified as; the value is 0.0306.

As a result, again for sampling distribution for sample proportion, the anticipated value and standard error are 0.75 and 0.0306, respectively.

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The complete question is-

A random sample of size n = 200 is taken from a population with population proportion P = 0.75. Calculate the expected value and the standard error for the sampling distribution of the sample proportion.

The inequality best represents the possible ways the team can score more than 60 points.

A relationship between two expressions or values that are not equal to each other is called 'inequality.

Given that, the Mid-High JV Team is playing in the state championship for football.

In order to beat their all-time points in a season record, they need to score more than 60 points in the game.

Considering a field goal (f) scores 3 points, a touchdown (t) scores 6 points, and a touchdown with an extra point (p) scores 7 points.

We need to find the inequality best represents the possible ways the team can score more than 60 points.

3f+6t+7p>60

Hence, 3f+6t+7p>60 is the inequality best represents the possible ways the team can score more than 60 points.

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Reason:

It's a quartic because the largest exponent is 4 (so the degree is 4).

It's a trinomial since it has 3 terms.

The mean , standard deviation, and the variance of each binomial experiment using given probability and sample of restaurant owners surveyed is equal to 54.52 , 1.808, 3.2712 respectively.

As given in the question,

Let success be defined by health department inspection is passed by restaurant

Probability of success rate 'p' = 0.94

Value of ' 1 - p ' = 1 - 0.94

                       = 0.06

Number of owners of restaurant which are surveyed 'n' = 58

For the given binomial experiments calculation of the following distributions are:

Mean 'μ' = np

            = 58 × 0.94

            = 54.52

Standard deviation 'σ' = √ np (1 - p)

      = √ 58 × 0.94 × 0.06

                                  = √3.2712

                                  = 1.808

Variance 'σ²' =  np( 1 - p )

                   = 58 × 0.94 × 0.06

                  = 3.2712

Therefore, the mean , standard deviation , and the variance from the given probability and sample size is equal to 54.52 , 1.808, 3.2712 respectively.

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Answer:

65 sq.inches

Step-by-step explanation:

To find the total surface area of a box, you need to calculate the area of each of its faces and add them together. In this case, the box has three faces with dimensions 5 inches by 7 inches, and three faces with dimensions 5 inches by 3 inches.

The total surface area of the box is therefore:

(5 * 7) * 2 + (5 * 3) * 2 = 35 + 30 = 65 square inches

This means that you will need 65 square inches of gift wrap to cover the box.

Hope this helps you

Answer: 142 squared inches of gift wrap

Step-by-step explanation:

To find how many square inches of gift wrap you would need, you would use the formula for the surface area of the box (rectangle)

Now plug the numbers in from the  given dimensions

Now solve...

Giving you the answer of 142 squared inches of gift wrap

Hope this is correct and helpful! ^^