2x + y = 11

3x - y = 4

The standard deviation of the x distribution for a random sample of 90 pairs will be 0.168 .

As stated in the assertion

The sample n has been provided, and we need to determine the sample's standard deviation.

For this reason, we know that the standard deviation of the sample is equal to the population's standard deviation divided by the square root of the sample's length.

The value of alpha is given as,

alpha = 1.6.

Assume that for a specific type of aluminum alloy sheet, X is the sample mean Young's modulus for a random sample of 90 sheets, and

s = alpha/ 90 s

= 1.6/9.48 s

= 0.168

Therefore, 0.168 is the x distribution's standard deviation.

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The height of the pyramid is approximately 91.13 inches.

Given:

Length of one side of the base (b) = 23.6 in

Slant height (l) = 91.9 in

In the square pyramid, the slant height (l) is the hypotenuse of a right triangle formed by the height (h) and half the length of the base (b/2).

Using the Pythagorean theorem, we have:

l² = h² + (b/2)²

Substituting the given values, we get:

(91.9)² = h² + (23.6 / 2)²

Simplifying the equation:

8445.61 = h² + 139.24

Rearranging the equation to isolate h:

h² = 8445.61  - 139.24

h² = 8306.37

Taking the square root of both sides to solve for h:

h = √(8306.37)

h ≈ 91.13 in

Therefore, the height of the pyramid is approximately 91.13 inches.

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The correct statements regarding the confidence intervals is given as follows:

The 90% confidence interval for juniors is (.549, .744), and the 90% confidence interval for seniors is (.545, .762). Since the intervals overlap, there is not enough evidence to say there is a difference between regular exercise rates among juniors and seniors.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 90%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.9}{2} = 0.95\), so the critical value is z = 1.645.

For juniors, the parameters are given as follows:

\(n = 65, \pi = \frac{42}{65} = 0.646\)

Then the lower bound of the interval is of:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.646 - 1.645\sqrt{\frac{0.646(0.354)}{65}} = 0.549\)

The upper bound of the interval is of:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.646 + 1.645\sqrt{\frac{0.646(0.354)}{65}} = 0.744\)

For seniors, the parameters are given as follows:

\(n = 52, \pi = \frac{34}{52} = 0.654\)

Then the lower bound of the interval is of:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.654 - 1.645\sqrt{\frac{0.654(0.346)}{52}} = 0.545\)

The upper bound of the interval is of:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.654 + 1.645\sqrt{\frac{0.654(0.346)}{52}} = 0.762\)

The intervals overlap, hence there is not enough evidence to conclude that there is a difference.

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Answer:

12a-6b+3c

Step-by-step explanation:

Hope this helps and can I get brainliest!

Answer:

To apply the Distributive Property you must multiply the term outside the parenthesis by each term within the parenthesis. Ensure you pay close attention to signs. Remember a negative number times a negative number is a positive number.

−

2

(

3

a

−

2

b

)

→

−

2

⋅

3

a

−

−

2

⋅

2

b

→

−

6

a

−

−

4

b

−

6

a

+

4

b

Step-by-step explanation:

hope this helps! :P

Answer:

42 feet

Step-by-step explanation:

y=mx+b

y=9x+6

9•4 =36 +6= 42

42=(9•4)+6

Step-by-step explanation:

step 1. 15^18/15^3

step 2. 15^18*15^-3

step 3. 15^(18 - 3)

step 4. 15^15

Answer:

x = -7

llllllllllllllllllll

Of 1,600 radios inspected, 112 were defective. This means that 7% of the radios were defective. The correct answer is A.

To find the percentage of defective radios, we can divide the number of defective radios by the total number of radios inspected and then multiply by 100. This gives us (112/1600)*100 = 7. So, 7% of the radios were defective. Percentages are used to express a proportion or a ratio as a fraction of 100. They are commonly used in everyday life to represent quantities such as discounts, interest rates, and test scores. Therefore, 7% of the radios were defective.

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Answer: - 2.5

Step-by-step explanation:

Using the attached number line has reference, the distance between each integer on the number line attached is 1, and the numbers are ordered in ascending order from - 10 to + 10. The point R exists in between the point marked - 2 and - 3 respectively. This shows that that point R is a number between the two integers, a number greater than - 3 but less than - 2.

From the picture attached the blue dot sits directly at the midpoint between - 3 and - 2. Hence the position can be a obtained by averaging the two integers.

(-3 + - 2) / 2 = - 5/2 = - 2.5

I recommend using a class interval of 36.9 for this set of data.

To determine the recommended class interval for the given data, we can use the formula:

Class Interval = (Highest Value - Lowest Value) / Number of Classes

The number of classes is subjective, but a common choice is to use the Sturges' Rule, which is given by the formula:

Number of Classes = 1 + 3.3 * log10(Number of Observations)

Applying Sturges' Rule to the given data:

Number of Classes = 1 + 3.3 * log10(230)
Number of Classes ≈ 8.6

Round the number of classes up to the nearest whole number:

Number of Classes = 9

Now we can calculate the class interval:

Class Interval = (567 - 235) / 9
Class Interval = 332 / 9
Class Interval ≈ 36.9

Round the class interval to 1 decimal place:

Class Interval = 36.9

I recommend using a class interval of 36.9 for this set of data.

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Answer:

28 cm

Step-by-step explanation:

If the shape is a square, all the sides are equal. To find the area you multiply the length by the width. Since the area is 49 centimeters, find the square root of 49 to find the length of the length and the height of the square, which is 7. To find perimeter, you add the lengths of all the sides of the square. 7+7+7+7=28.

Answer:

hay net per 888 de splecetion

Step-by-step explanation:

The product of two negative numbers is positive.

it is true.

-2×-2=+4

Answer:

Step-by-step explanation:

❁ Hello! ❁

• The quotient of two negative numbers is negative.

• The product of two positive numbers is negative.

• The quotient of a positive number and a negative number is positive.

• The product of two negative numbers is positive → (-) × (-) = (+)

Success! ☺️

Answer:

What is

Step-by-step explanation:

What is the question

Answer:

tan x° = 56.31°

Step-by-step explanation:

6/4= 1.5

hence x° = 56.31

The correct option is a b c d.

fd = 2,809

We need to round the given answers to the nearest hundredth.

a. 150, 150, fd = 2,809

Now, we need to find 150 such that it is the same percentage as 2,809 of 150.

150 * (2,809/100) = 4.2135 ≈ 4.21

So, 150, 150, fd = 2,809 ≈ 4.21, 4.21, fd ≈ 100

b. 150, 150, fd = 2,809

Now, we need to find 150 such that it is the same percentage as 2,809 of 150.

150 * (2,809/100) = 4.2135 ≈ 4.21

So, 150, 150, fd = 2,809 ≈ 4.21, 4.21, fd ≈ 100

c. 150, 150, fd = 53

Now, we need to find 150 such that it is the same percentage as 53 of 150.

150 * (53/100) = 79.5 ≈ 79.5

So, 150, 150, fd = 53 ≈ 79.5, 79.5, fd ≈ 100

d. 150, 150, fd = 53

Now, we need to find 150 such that it is the same percentage as 53 of 150.

150 * (53/100) = 79.5 ≈ 79.5

So, 150, 150, fd = 53 ≈ 79.5, 79.5, fd ≈ 100

Therefore, the correct option is a b c d.

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Answer:

If friction did not exist, it would be hard for us to slow down in running, or putting breaks on a car, and more!

If friction did not exist, your car will slide down the road even if you try your best to put the brakes on a car. Friction is a very important force to slow down things that are moving very fast

Step-by-step explanation:

Hoped this helped.

\(GeniusUser\)

Answer:

2. 2

3. 4

4. 3/4

5. 5/12

6. 6

7. 1/2

Answer:

-4

Step-by-step explanation:

that is the pattern

The annual sales of the Hand & Foot Cream are increasing by 151,000 bottles per year. Based on the linear trend equation, the predicted annual sales for year 6 is 1,006,000 bottles.

According to the given linear trend equation F1 = 80 + 151, the constant term 80 represents the initial annual sales at the start of the trend. The coefficient of the independent variable t, which represents the number of years, is 151.

To determine whether the annual sales are increasing or decreasing, we look at the coefficient of t. Since the coefficient is positive (151), it indicates that the annual sales are increasing over time. The coefficient tells us that for every year that passes, the annual sales increase by 151,000 bottles. Therefore, the annual sales are experiencing positive growth.

To predict the annual sales for year 6, we substitute t = 6 into the equation. Plugging in the value, we have F6 = 80 + (151 * 6) = 80 + 906 = 986. Therefore, the predicted annual sales for year 6 is 986,000 bottles.

In conclusion, the annual sales of the Hand & Foot Cream are increasing by 151,000 bottles per year. Based on the linear trend equation, the predicted annual sales for year 6 is 986,000 bottles. This indicates that the product's popularity and demand are growing steadily.

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To help account for variability, the pollster used a simple random sample.

Sampling is the selection of a subset (a statistical sample) of people from within a statistical population in statistics, assurance, and survey procedures. the population's characteristics that were sampled. Obtaining samples that are typical of the population being researched is the objective of statisticians.

In situations where it is not practical to evaluate the complete population, sampling offers insights and is more cost-effective and time-efficient than doing so.

Each observation gives a number for one or more characteristics of certain things or people, including their size, location, color, or weight.

In survey sampling, especially in stratified sampling, ratings can be added to the results to take into consideration the sample design. The practice is guided by conclusions from statistical theory and probability theory.

Since 1000 people are randomly selected , hence we can say that the preference is simple random sample.

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Answer:

B= -7/5

Step-by-step explanation:

Subtract the 2nd y from the first (2-9)

Subtract the 2nd x from the first (11-6)

-7/5

A hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. The statement that is true is, a hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. A hypothesis is a suggested explanation of a phenomenon or observed data that is testable.

Hypotheses are more detailed, and are written to explain precisely what you think is going to occur in your research and the reason for that prediction. A hypothesis will be rejected if it does not fit the data, whereas a theory will be modified to fit the data.

A hypothesis is more like a forecast, and a theory is more like a law that explains how certain events operate. Thus, we can conclude that a hypothesis is a specific prediction arising from the theory.

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Answer:

3 whole pizzas

Step-by-step explanation:

\(10 \times \frac{1}{4} = \frac{10}{4} = \frac{5}{2} = 2 \frac{1}{2} \)

So 3 whole pizzas will need to be ordered.

Answer:

2 and a half pies

Step-by-step explanation:

ten sixth graders eat 1/4 each, therefore 4 kids eat 1 whole pie. similarly, 8 kids eat two whole pies, since two kids are remaining they eat 2/4 of a pie.

which can also be put in as 1/2. this means they eat half a pie. and that is how altogether it is 2 and a half pies.

hope this helps!

33

Step-by-step explanation:

The comparison between A and B is as follows:A < B.

We are given that:120 % of A is equal to 150 => (120/100)A = 150

Divide both sides by 120/100: A = 150 × 100/120 = 125

And, 105 % of B is equal to 165 => (105/100)B = 165

Divide both sides by 105/100: B = 165 × 100/105 = 157.14

Therefore, A = 125 and B = 157.14

Compare A and B:It can be seen that B is greater than A. Therefore, B > A. Hence, the comparison between A and B is as follows:A < B.

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Answer:

Option D: x ≥ 1.

Step-by-step explanation:

Here we have the quotient:

\(\frac{\sqrt{15*(x - 1)} }{\sqrt{2*x^2} }\)

Here we have two restrictions for the domain.

first, the denominator can never be zero, so x must be different than zero.

Second, the arguments of the square roots can not be negative.

The one in the denominator is always positive because we have the square of x.

So let's look at the values of x, such that:

15*(x - 1) ≥ 0

(x - 1) ≥ 0

x ≥  1

Note that when x ≥ 1, we are also removing the problem in the denominator, then we can conclude that the fraction is defined when:

x ≥ 1.

The correct option is D

Step-by-step explanation:

(-2)(5)(-4)

= - 2 x 5 x - 4

= 40

(Explanation: multiplying two negative numbers gives a positive number)

= -50-10+50+3

= - 60 + 53

= - 7