On a number line, suppose the coordinates is A is 0 , and AR =20

1.) The probability that the sample mean will be greater than 48 minutes is 0.9332.

2.) The probability of the sample mean being between 44 and 49 minutes is 0.6687.

3.) The z-score of 10 indicates that the sample mean of 65 minutes is 10 standard deviations above the population mean.

To solve this problem, we can use the Central Limit Theorem (CLT), which states that the distribution of sample means tends to be approximately normally distributed, regardless of the shape of the original population, when the sample size is large enough.

1.) Probability of sample mean > 48 minutes:

To calculate this probability, we need to standardize the sample mean using the formula: z = (x - μ) / (σ / √n), where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

In this case, the population mean (μ) is 45 minutes, the population standard deviation (σ) is 12 minutes, and the sample size (n) is 36. We want to find the probability of the sample mean being greater than 48 minutes.

Calculating the z-score:

z = (48 - 45) / (12 / √36) = 3 / 2 = 1.5

Using a standard normal distribution table or calculator, we find that the probability corresponding to a z-score of 1.5 is approximately 0.9332. Therefore, the probability that the sample mean will be greater than 48 minutes is approximately 0.9332.

2.) Probability of sample mean between 44 and 49 minutes:

To calculate this probability, we need to find the z-scores for both 44 and 49 minutes and then calculate the area between those z-scores.

Calculating the z-scores:

For 44 minutes:

z1 = (44 - 45) / (12 / √36) = -1 / 2 = -0.5

For 49 minutes:

z2 = (49 - 45) / (12 / √36) = 4 / 2 = 2

Using the standard normal distribution table or calculator, we find the probabilities corresponding to z1 and z2:

P(z < -0.5) ≈ 0.3085

P(z < 2) ≈ 0.9772

The probability of the sample mean being between 44 and 49 minutes is approximately P(-0.5 < z < 2) = P(z < 2) - P(z < -0.5) ≈ 0.9772 - 0.3085 = 0.6687.

3.)Conclusion from 100 samples with a mean of 65 minutes:

If 100 samples were collected, and the sample mean was 65 minutes, we would need to assess whether this value is significantly different from the population mean of 45 minutes.

To make this assessment, we can calculate the z-score for the sample mean of 65 minutes:

z = (65 - 45) / (12 / √36) = 20 / 2 = 10

The z-score of 10 indicates that the sample mean of 65 minutes is 10 standard deviations above the population mean. This is an extremely large deviation, suggesting that the sample mean of 65 minutes is highly unlikely to occur by chance.

Given this, we can conclude that the sample mean of 65 minutes is significantly different from the population mean. It may indicate that there is a systematic difference in the delivery times between the sample and the population, possibly due to factors such as increased demand, traffic, or other external variables

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The correct answer is 4

Explanation:

One of the ways to solve this mathematical problem is by using the rule of three because there are three pieces of information and one missing information. Below, I show the process step by step:

1. Consider the information provided and the missing information

6 students =  5 hours

     x           =  3  hours

2. Cross multiply to create a simple equation

5x = 18

3. Solve

x = 18 ÷ 5

x = 3.6

This means 3.6 students are required to plant the garden in 3 hours, and this can be rounded as 4 considering people or students cannot be counted using decimal numbers.

The value of the variable x for this problem is given as follows:

[tex]x = \frac{5\sqrt{2}}{2}[/tex]

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:

For the angle of 45º, we have that:

Applying the sine ratio, the value of x is given as follows:

sin(45º) = x/5

x = 5sin(45º)

[tex]x = \frac{5\sqrt{2}}{2}[/tex]

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Work Shown:

f(x) = x^2

g(x) = a*f(x) for some constant 'a' since g(x) is a scaled version of f(x).

The value of 'a' vertically stretches f(x) upward if a > 0

If 'a' is negative, then we have a reflection going on as shown in the diagram.

We want (x,y) = (3,-6) to be on the graph of g(x). This means g(3) = -6

If we plugged x = 3 into f(x), we get

f(x) = x^2

f(3) = 3^2

f(3) = 9

So,

g(x) = a*f(x)

g(3) = a*f(3) ... replace x with 3

g(3) = a*9 ... replace f(3) with 9 since f(3) = 9

-6 = a*9 ... replace g(3) with -6 since g(-3) = -6

9a = -6

a = -6/9

a = -2/3

Therefore, this means

g(x) = a*f(x)

g(x) = (-2/3)*f(x)

g(x) = (-2/3)*x^2

Answer:

C.

Step-by-step explanation:

1. Find the area part of the equation.

Area is base×height, so if we substitute 8 as the base and w as the height, A=8w

2. Find the perimeter of the equation.

Perimeter of a rectangle is 2(base + height), so in this case, it will be

P=2(8 + w), or C.

Answer:

123 crackers

Step-by-step explanation:

If 1/3 of the box contains sesame seed crackers, then, 2/3 of the box contains whole wheat and cheese flavored crackers.

Total number of whole wheat and cheese flavored crackers = 53 + 29 = 82

Let x be the total number of crackers in the box, so we will have the equation

2/3 x= 82

x = 82 ÷ 2/3; we will get

X =82 x 3/2

X = 123 crackers

Answer:

Step-by-step explanation:

c=2A

An equation is formed when two equal expressions. The correct option is B.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that the cost to paint an area of 1,500 square feet is $3,000. Therefore, the equation that gives the relationship between c, cost and A, the area is,

cost = constant × area

c = k × A

$3000 = k × 1500 ft²

k = $2 per square feet

Now, the equation that gives the relationship between c and A can be written by substituting the value of k in the equation,

c = k × A

c = 2 × A

c=2A

Hence, the correct option is B.

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Answer:

the answer is C

Step-by-step explanation:

Answer:

Its C !

Hope this helps!

:)

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

there is 4 sections i know because s8 times 4 is 32 but if it has less than 40 it can't be 5 because 5 times 8 is 40 then it has to be 4

Answer:

[tex]d=5[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d=\sqrt{(3-(-1))^2+(4-1)^2}[/tex]

[tex]d=\sqrt{(3+1)^2+(3)^2}[/tex]

[tex]d=\sqrt{(4)^2+9}[/tex]

[tex]d=\sqrt{16+9}[/tex]

[tex]d=\sqrt{25}[/tex]

[tex]d=5[/tex]

Answer: 0.705

Step-by-step explanation:

Answer:

0.705

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

There are four scoops, and three of them are mini chocolate chips. 3/4=75/100. Therefore, 75%

Answer:

Twenty inches

Twenty times two is forty and forty plus five is forty five add those together and you get sixty five inches

Answer:

30 inches

Step-by-step explanation:

haven't learnt this but from the question the first board is 5 inches more then the second and the both is 65 inches so if the first is 30 the second is 35 its 65. pls correct me if wrong

Answer:

F = 160 pounds

B. 160 pounds

Step-by-step explanation:

F = k / l

Where,

F = amount of force needed

l = length of the lever

k = constant of proportionality

F = 240 when l = 24 inch

F = k / l

240 = k / 24

Cross product

240*24 = k

k = 5,760

Find F when l = 36 inch

Recall, k = 5,760

F = k / l

= 5,760 / 36

= 160

F = 160 pounds

The correct answer is B. 160 pounds

The variation is an inverse variation.; so, 160 pounds of force is needed for a 36-inch long lever

Given that F varies inversely as L, the variation is represented as:

[tex]F\ \alpha\ \frac 1L[/tex]

Express as an equation

[tex]F\ =\ \frac kL[/tex] -- where k represents the constant of variation

Make k the subject

[tex]k =FL[/tex]

When F = 240, L = 24.

So, we have:

[tex]k =240 \times 24[/tex]

[tex]k =5760[/tex]

Substitute 5760 for k in [tex]k =FL[/tex]

[tex]5760 = FL[/tex]

When L = 36, we have:

[tex]5760 = 36F[/tex]

Divide both sides by 36

[tex]160 = F[/tex]

Rewrite as:

[tex]F = 160[/tex]

Hence, 160 pounds of force is needed for a 36-inch long lever

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Step-by-step explanation:

The question requires us to state the null hypothesis only.

A null hypothesis can be used in statistics or experimental research to show that there is no difference in existence between the populations that were specified for the study. An alternative hypothesis is the opposite as it proposes the existence of a difference.

Here is the null hypothesis:-

H0: there are no differences existing between the mean sales of coca-cola classic, coke and pepsi in public vending machine.

Answer:

CM = 3

MG = 15

CG = 18

Step-by-step explanation:

CM = x

MG = x + 12

C to G equals 4x + 6

CG = 4x + 6

And CM + MG (CG) also equals  2x + 12

CM + MG = 2x + 12

4x + 6 = 2x + 12 (solve for x)

Subtract 2x from both sides.

2x + 6 = 12

Subtract 6 from both sides.

2x = 6

Divide by 2

x = 3

CM = (3)

MG = 3 + 12 = 15

CG = 4(3) + 6 = 18

Answer:

2x + 3x = $25,000

5x = $25,000

x = $5,000

Amina will receive $10,000, and Mina will receive $15,000.

2:3

First, add 2 and 3 =5

The total money is 5

Then for Amina whose share is 2;

2/5 × 25,000 = GH$10,000.00

For Mina whose share is 3;

3/5 ×25,000 = GH$15,000.00

Therefore

Amina = GH$10,000.00

Mina=GH$15,000.00

Answer:

a. Online customers buy an average of about five packs compared with walk-in customers, who buy an average of about three packs.

Answer:

Approximately, there are 8 million insect species.

Step-by-step explanation:

Convert 64% into decimal

64%/100% = 0.64

To get the number of insect species, we just have to multiply the total species of organism by 0.64

Let n be the number of insect species

n = 12,400,000(0.64)

n = 7,936,000

n ≈ 8 million

Answer: x=7

Step-by-step explanation:

To find the value of x, we can set a proportion since the problem states that "y varies directly with x".

[tex]\frac{13}{65} =\frac{x}{35}[/tex]              

Here, we see that the x is the numerator and y is the denominator.

[tex]\frac{13}{65} =\frac{x}{35}[/tex]              [cross multiply]

[tex]455=65x[/tex]          [divide both sides by 65]

[tex]x=7[/tex]

Now, we know that x=7. Logically, we know this is also correct because y=35 is less than y=65. This tells us that x has to be smaller than x=13.

Answer:

Step-by-step explanation:

7000

Answer:

1, 4, 9, 16, 25, 36, 49, 64, 81, 100

Step-by-step explanation:

Just do this by the square root method

Answer:

circle

radius

Step-by-step explanation:

1 ) The diameter measures the circle at its largest point across. Another definition that is related to the diameter is the radius. It is the measurement from the center of the circle to its edge.

2) When a circle's diameter is 1, its circumference is π. When a circle's radius is 1—called a unit circle—its circumference is 2π.    -

Answer:

we need to find the circumference and diameter of circle.

Dimeter of circle = 2× Radius

Diameter of circle = 2 × 6

Diameter of circle = 6cm

Circumference of circle = 2πr

Circumference of circle = 2 × π × 6

Circumference of circle = 12π

1, 3, 5, 7 , 9 and ect.

Answer: The stem would be 4 and the leaves would be 1 and 6

Step-by-step explanation:

The stem would be the first number so for example in 29 the stem would be 2 and the leaves would be 9. Once you do that to each number and put them in lowest to highest order you now have your stem and leaf plot

In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.

The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."

When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.

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Answer: Irrational number

If the decimal digits repeat forever, then the repeating decimal is considered rational.

For instance, 2/99 = 0.020202020202... where the "02" repeats forever

If we don't have such a pattern, then we cannot write the decimal as a fraction of two integers and the number is not rational. So it is irrational.

Answer:

Step-by-step explanation:

There are 24 10 miles in 240. Each 1/2 inch is 10 miles, so there are 12 inches.

Answer:

Your answer will be 12 inches.

Step-by-step explanation:

1/2 inch = 10 miles

1 inch = 20 miles

240/20= 12