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The shortest lifespan will last less than 2.5 years.

What is standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

First, we must utilize the conventional normal table to determine the value for z if 10% of the region (probability) to its left will be present. We can observe that about z = -1.282.

Now, we have to find the value of x, that corresponds to the value of z.

Since,

(x - μ) / σ = z

(x - 3.1) / 0.5 = -1.282

                 x = 2.459

Hence, the shortest lifespan will last less than 2.5 years.

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The value of a is = 4/3.

From the given figure:

((3/4)a+4)3 = 15

(3a+4*4 / 4)3 = 15

(3a + 16 / 4)3 = 15

3a*3 + 16*3 = 15*4

9a + 48 = 60

9a = 60 - 48

9a = 12

divide by 9 on both sides

9a/9 = 12/9

a = 12/9

= 4/3.

Therefore the value of a is = 4/3.

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you can refer to the explanation I wrote for you on paper since it is much easier... look at the pic uploaded

The parabola has a positive leading coefficient, which means that it opens upwards.

We want to find the leading coefficient and see how the parabola opens.

A general quadratic equation is written as:

y = A*X^2 +b*X+ c

Where a is the leading coefficient.

If a is positive, then the parabola opens upwards, and if a is negative, the parabola opens downwards.

In this case, the equation is:

y = x^2 - 5x - 7

The leading coefficient is a = 1, it is positive, so the parabola opens upwards.

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Answer:

need more clarification and need better picture

Step-by-step explanation:

plsssss

Answer:

The line y = 0 is an asymptote of the graph.

The y-intercept is 15,000.

The y-intercept represents the number of bacteria when treatment began.

The asymptote indicates that as time increases, the number of bacteria approaches 0.

Step-by-step explanation:

Took the test

The correct answer is False because, If the sample size is large enough (n greater than or equal to 30) the sampling distribution is approximately normal regardless of the shape of the population.

The sample fraction, often called the "p-hat", is the ratio of the number of sample successes to the size of the sample. The standard deviation of (p) decreases as the sample size n increases. This is because n is included in the denominator of the standard deviation formula. That is, (p has) has fewer variables for larger samples. The P-hat (must be a lowercase p with a caret (^) circumflex) indicates the percentage of the sample (this is the x-bar, the average of the samples).

A p-hat (proportion) sampling distribution is a collection of equal-sized repeated sample proportions drawn from the same population to represent it. According to the central limit theorem, the sampling distribution of p-hat is approximately normally distributed for large sample sizes.

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Using the Optimization problem solving strategy, the maximum area inside the margins is 108 inch².

Firstly , we can develope a function of two variables. let the length of poster be x inch and width be y inch.

total Area of poster (A ) = x × y = 200 inch² ---(1)

we have provided that bottom and top margin is 2 inch each and right -left margin is 1 inch each.

So, length of poster inside margin (l) = (x-4 ) inch

width of poster inside the margin (w) = (y-2) inch

Area inside the margins = l × w sq. inch

= (x-4)(y-2) sq.inch ---(2)

from (1) we can find out the value of one variable and put in equation (2) ,

from( 1), y = 200/x

Area inside margins= (x-4)(200/x - 2) = 2(x -4)( 100/x - 1) = 2( 100 - x - 400/x + 4)

Area inside margins = 2 ( -x - 400/x + 104)

To minimize the area inside the margins we take first order derivative of it

dA/ dx = d/dx[ 2( -x - 400/x + 104) ]

= 2 d/dx ( -x - 400/x +104) = 2 ( -1 + 400/x² )

critical points occurs when dA /dx = 0

2 ( -1 + 400/x² ) = 0 => 800/x² = 2

=> x² = 400 => x = 20

putting value of x in equation (1) we get ,

x×y = 200 = 20× y => y = 10

so, length of poster is 20 inch and width is 10 inch.

Now, length of poster inside margin (l) = 16 inch

width of poster inside margin (w) = 8 inch

maximum area inside margin is 108 inch².

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The probability of getting at least 1 red marbles is 3/7.

What is probability?

Probability of getting at least one red = 1 − Probability of getting red marbles

Total number of marbles = 7

Probability of getting red marbles = 4/7

Probability of getting at least one red = 1 - Probability of getting red marbles

= (7-4)/7

= 3/7

Hence, The probability of getting at least 1 red marbles is 3/7.

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Perimeter of the polygon with given vertices is 22.43

Given:

Point 1 : (-2,4) ,

Point 2 : (3,4),

Point 3 :(3,-4)  

Perimeter of a polygon  = Sum of all the sides length of polygon  

1. Length of Point 1 and point 2 = √[(x₂-x₁)²+(y₂-y₁)² ]                

= √[(3+2)²+(4-4)² ]                  

= 5  

2.Length of Point 1 and point 3 = √[(x₂-x₁)²+(y₂-y₁)² ]

           =  √[(3+2)²+(-4-4)² ]                    

= 9.43  

3. Length of Point 2 and point 3  =√[(x₂-x₁)²+(y₂-y₁)² ]            

= √[ (3-3)²+(-4-4)² ]                      

= 8

So, Perimeter of the polygon = 5+9.43+8

Perimeter of the polygon  = 22.43

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The probability of type I error if the new blood test is used is 0.05

Given data;

It is not always possible to identify rare diseases by screening. A blood test that has been created by researchers is thought to be reasonably dependable. In 97% of those who suffer from a sickness, it produces a favorable response. However, 5% of those tested who do not have the condition received an incorrectly positive response. Take into account the null hypothesis that "the person does not have the disease."

The probability that the blood test report will be positive if someone has the disease = 0.97 The probability that the blood test report will be positive if someone does not have the disease is = 0.05

The null hypothesis is: "The individual does not have the disease."

The type I error occurs when we reject the null hypothesis, but it was true in reality.

Therefore, the probability of type I error = The probability that the blood test report will be positive if someone does not have the disease.

⇒ 0.05

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answer:19.8 should be the answer?

Step-by-step explanation:

Answer:

Step-by-step explanation:

I am not sure

Answer:

[tex]\frac{5}{12}[/tex]

Step-by-step explanation:

Step 1: Set up the problem

Step 2: Solve

Answer:

425 Miles

Explaination:

Please give the brainliest.

The resulting ordered pair is (15, 37.50) when the value of x as 15.

Ordered pair

Ordered pair refers a set of numbers that tells us where to find a point on a coordinate grid. In the grid, the first number represents the value on the x-axis and the second number represents the value on the y-axis.

Given,

A student used the equation below to create a table.

y = 2.50x

The student used 15 as one of the values for the x.

Here we need to find the resulting ordered pair.

Through the given question we have identified that the given function is,

y = 2.50x.

Here x represents the number of students.

Now, we have to calculate the y value for 15 number of students,

So, here we have to apply the value x as 15, then we get,

y = 2.50 (15)

Now, we have to perform the multiplication on it,

y = 37.50

Therefore, the resulting ordered pair is (15, 37.50)

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Answer:

3q(m-n)

Step-by-step explanation:

pm - pm + 3qm - 3qn

= 3qm - 3qn (pm-pm cancelled out such as 2x-2x=0)

= 3q(m-n)

Value of x for the given expression x√2 + 3 = -2 is equal to (- 5√2)/2.

As given in the question,

Given expression is equal to :

x√2 + 3 = -2

Simplify the given expression x√2 + 3 = -2 to get the value of x we have,

x√2 + 3 = -2

Subtract 3 from both the side of the given expression we get,

x√2 + 3 - 3 = -2 - 3

⇒ x√2 + 0 = -5

Divide by √2 from both the side of the expression,

x√2/√2= -5/√2

⇒x = -5/√2

Multiply and divide by √2 on right-hand side we get

⇒ x = -5√2/ (√2×√2)

⇒ x= -5√2/2

Therefore, value of x for the given expression x√2 + 3 = -2 is equal to

(- 5√2)/2.

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Answer:

Step-by-step explanation:

Ok:

1. Straight out Multiplication. Denominator to denominator and numerator to numerator!

3/5*6/7=

18/35=

Answer: 18/35

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The average speed of Erin on the return part is 12 miles/hour

Given, Erin leaves home at 11am. She cycles at a speed of 16 miles per hour for 90 minutes. She stops for half an hour. Erin then cycles home and arrives at 3pm.

We have to find the average speed on the return part of her cycle.

Now, using distance formula, we get

Distance = Speed × Time

Distance = 16 miles per hour × 90 × 1/60 hours

Distance = 24 miles

As, average speed = Total distance/Total time

Average speed = 24 miles / 2 hours

Average speed = 12 miles per hour

Hence, the average speed of Erin on the return part is 12 miles/hour

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Answer:

[tex]33\frac{1}{3}[/tex]

Step-by-step explanation:

square is just multiplying things twice

(-3 1/3)(-3 1/3)

(-10/3)(-10/3)

100/3

33 1/3

Hopes this helps

Answer: 1

Step-by-step explanation:

(-3 1/3)= (-1/3)+(-1/3)+(-1/3) = -1

(-3 1/3)^2 = (-1)^2 = (-1)(-1) = 1

The statements are characterized as converse, inverse, and contrapositive statements as follows:

Converse statements:

Inverse statements:

Contrapositive statements:

So, the given sentences are:

Therefore, the statements are characterized as converse, inverse, and contrapositive statements as follows:

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Answer:

1,2,4

Step-by-step explanation:

edem

Answer: All of them are integer

Step-by-step explanation:

They are all integer.

Answer:

132 rs

Step-by-step explanation:

Cost of one orange = 48 : 12 = 4 rs

cost of 30 orange = 4 * 30 = 120 rs

10 : 100 = x : 120

x = (120 * 10)/100

x = 12 rs

final price = 120 + 12 = 132 rs

Yes, the unit rate of the ratio 12/5/3/10 is 8/1 as per given in the problem.

A unit rate is the price for one unit of a given quantity. With one as the denominator, we express this as a ratio. You would run 7 yards on average every second if you ran 70 yards in 10 seconds, for instance. The 70 yards in 10 seconds and the 7 yards in 1 second ratios are both rates, however the 7 yards in 1 second ratio is a unit rate.

Here, given that the unit rate for the ratio given is 8/1

We have to check whether the ratio is correct or not

So, (12/5)/(3/10)

=(12/5)×(10/3)

=8/1

Therefore, the ratio 8/1 is correct as per given in the sum

So, the answer is yes

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The total amount of money the siblings earned is equal to $1504.5.

From the information provided, the total number of hours worked is represented by this mathematical expression:

10h + 15

where:

h represents the number of hours Michael worked.

Next, we would determine the number of hours Michael worked by summing up all of the total number of hours worked by each of the four siblings and equating it to the total number of hours worked:

2.5(h + 3) + 4(h - 2) + 31 + h = 10h + 15

7.5h + 26 = 10h + 15

10h - 7.5h = 26 - 15

2.5h = 11

h = 4.4 hours.

For the total number of hours worked by each of the four siblings, we have:

Total hours = 10h + 15

Total hours = 10(4.4) + 15

Total hours = 44 + 15

Total hours = 59 hours.

At a rate of $25.50 per hour, the total amount the siblings earned is given by:

Total earnings = $25.50 × 59

Total earnings = $1504.5.

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Complete Question:

Four siblings have a dog walking business. The table shows the hours worked by each sibling. Each sibling earns $25.50 per hour and the total number of hours worked is represented by 10h + 15 , where h represents the number of hours Michael worked. What was the total amount the siblings earned?

the answer is (A) according to the cosine rule a^2=b^2+c^2-2(b)(c)cos(A)

The number of significant digits that the product should have is; 2

Scientific notation is defined as a way of expressing a number as a number between 1 and to multiplied by a power of 10. This is usually in the form A * 10ⁿ

Where;

A is any real number between 1 and 10

n is any integer

When multiplying scientific notations, the final product must be to the scientific notation that has the least decimal place.

Since the least decimal place in the given measurement is 2, hence the significant digits the product should have is 2

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