if there are 80 students in a class with an average height of 166 cm and a standard deviation of 4 cm, and the students are randomly split into 16 groups, each with 5 people, what is the standard deviation of the average height among the groups?

Answer:

10/20 for green, then 4/19 for blue. 10/20 * 4/19 = 2/19

Step-by-step explanation:

Explanation is above. If you need any more help let me know.

Answer:

11/6

Step-by-step explanation:

Answer:

the simplest form is 11/6

Answer:

C. p > -3

Step-by-step explanation:

We observe the characteristics of the shaded ray on the number line.

It goes to the right, so the inequality must be either greater than or greater than or equal to.

The circle where it starts on is open, so the inequality must not be less than or equal to or greater than or equal to.

Now, without even looking at the numbers themselves, we can find our answer.

There are four different types of inequalities, and we eliminated three of them (<, <=, >=). This leaves only one left (>). The only answer choice that uses the greater than symbol is C, so it must be our answer.

Answer:

Step-by-step explanation:This is a standard question which is to be answered according to the definition.If any complex number is written in the form of an ordered pair (a, b), it is written as'z = a + ib.Here, a=3 and b=4Hence, z=3+4i

1. the tan of 25

tan(25)=0.4663076582

now that rounded to the nearest ten thousandth

this mean to 4 decimal places

tan(25)=0.4663

for A.

we use tan^-1, or arctan

A= tan^-1(1.3270)= 52.99 degrees

A=52.99 or rounded A=53 degrees

B.

we find A in the same way, but we will use sin^-1

sin^-1(0.5373)=32.5 degrees

False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

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Given a square of a side length of L, the perimeter is calculated by the expression:

Answer:

C

Step-by-step explanation:

200x0.08 = 16

16x10 = 160

200+160= 360

Hope this helps!

Using an linear function, we find that by 2020 only 11% of all American adults believe that most qualified students  get to attend college.

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

A decaying linear function has the following format:

\(A(t) = A(0) - mt\)

In which

The equation is:

\(A(t) = 45 - 1.7t\)

It will be 11% in t years after 2000, considering t for which A(t) = 11, that is:

\(11 = 45 - 1.7t\)

\(1.7t = 34\)

\(t = \frac{34}{1.7}\)

\(t = 20\)

2000 + 20 = 2020

By 2020 only 11% of all American adults believe that most qualified students  get to attend college.

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Answer:

292<298xj=158

Hope this helps!

Answer:

10%

Step-by-step explanation:

I think it's right lol but I could be wrong I forgot a lot of this stuff

but out of all the data it goes from 22-42 so 20 points in total

there is only 2 of the data points behind 24, so it is 2/20 or 10%

Answer:

heart rate for adults ranges from 60 to 100 beats per minute genuinely a lower heart rate is at rest implies more efficient heart functions and better cardiovascular fitness

Step-by-step explanation:

a well-trained athlete might have a normal resting heart rate closer to 60 beats per minute

(I really do hope this helps)

The expected value of sales at a price of $1 is 11.015 for the given regression demand equation.

In the regression demand equation e(log(sales | price)) = 11.015 - 2.442 log(price), you want to find the expected value of sales at a price of $1. To find the expected value of sales, you need to substitute the given price of $1 into the equation and solve for the sales. Substituting the price of $1 into the equation, you get: e(log(sales | 1)) = 11.015 - 2.442 log(1). Since log(1) = 0, the equation simplifies to: e(log(sales | 1)) = 11.015 - 2.442 * 0, e(log(sales | 1)) = 11.015
Therefore, the expected value of sales at a price of $1 is 11.015.

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The area of the rose garden is 129 sq. ft.

Consider the following diagram.

The dimensions of the rectangular garden:

length = 15 ft and width = 9 ft

Using the formula for the area of rectangle,

The area of the rectanguler garden would be,

A₁ = 15 × 9

A₁ = 135 ft²

In the center of the garden, she puts a smaller rectangular patch of grass. And the dimensions of the grass is 2 feet by 3 feet.

The area of rectangular patch is:

A₂ = 2 × 3

A₂ = 6 ft²

So, the area of the rose garden would be,

A = A₁ - A₂

A = 135 - 6

A = 129 ft²

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Find the complete question below.

Answer:

0.83

Explanation:

Since the probability P(Z > a) = 0.204< 0.5, 'a' must be lying on the right of zero. Draw the graph.

Find P(0 < Z < a).

Find 'a' from the standard normal table.

From the table, P(0 < Z < 0.83) = 0.2967. Thus, 'a' approximately equals 0.83.

Answer:

C lets look at were this line starts which is in between 7 and 8 right in the middle making it 7.5 it is negative because the point is on the negative side of our graph. Where the line ends in on positive 2 on the x-axis. -Your friend, Bill Cipher

Step-by-step explanation:

The main purpose of the passage is to describe evidence linking the volcano Samalas to the Little Ice Age.

The Little Ice Age-

Therefore, choice C is right.

What volcanic eruption has ever been the largest?

The Mount Tambora explosion was the biggest human-made explosion ever, scoring a 7 (or "super-colossal") on the Volcanic Explosivity Index, the second-highest score possible.

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Step 1: 3x + 2 - 4x Distributive Property: The distributive property is used to multiply the 2 by the 4x, resulting in 8x.

The distributive property is a rule of mathematics that states that when you multiply a number by the sum of two other numbers, the result is the same as if you had multiplied the number by each of the two numbers separately and then added the results together. This property is also known as the distributive law of multiplication over addition. For example, if you are asked to multiply 3 x (2 + 5), you can use the distributive property to calculate it as 3 x 2 + 3 x 5, which equals 6 + 15, or 21.

Step 2: 3x + 8x, Combine Like Terms: The like terms of 3x and 8x are combined, resulting in 11x.
Step 3: 11x ÷ 11, Division Property: The division property is used to divide 11x by 11, resulting in x.

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Margin of error in 95% confidence level is 10 IQ points.

The margin of error is a statistic expressing the amount of random sampling error in the results of a survey. The larger the margin of error, the less confidence one should have that a poll result would reflect the result of a census of the entire population.

The formula of using of Margin of error is:

ME = \(\frac{z*s}{\sqrt{N} }\)

IQ scores in the general population are normally distributed with a mean of 100.0 points and a standard deviation of 15.0 points.

If the empirical rule is used, 95% confidence interval is 2 standard deviations around the mean. If we use the formula:

Now, Plug all the values in above formula:

ME = \(\frac{2*15}{\sqrt{9} }=\frac{30}{3}=10\)

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Answer:

32 million / x million year 3 * 100%

Step-by-step explanation:

Since they mention that the total value of azco sales remain the same as year 2, therefore the earnings for year 2 and 3 are the same.

Which means that the percentage of sales profits would be 32 million dollars divided by the profits of year 3, which we do not know because the statement does not tell them but they tell us that they do not change with respect to year 2.

Therefore the percentage would be:

32 million / x million year 3 * 100%

Answer:

y=-3x-6

Step-by-step explanation:

y=kx+n

k= (y2-y1)/(x2-x1)= (-3) / 1 = -3

n = -6

T(-1, -3) checks out :)

y=-3x-6

y=k/x is the equation represents relation between x and y and value of y is 16 when x is 21.

Two or more expressions with an Equal sign is called as Equation.

Given that y is inversely proportional to x.

When y is 7 and x is 9

y=k/x

k is the proportional constant and y=k/x is the equation connecting y and x.

We have to find the value of y when x is 21

9/7=21/y

Apply cross multiplication

9y=21×7

9y=147

Divide both sides by 9

y=147/9

y=16.3

Hence, y=k/x is the equation represents relation between x and y and value of y is 16 when x is 21.

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Answer: -2

Step-by-step explanation:

Answer:

-12+4÷4

-12+1

-11

try this one

Answer:

110/5=2

2,5.5=15

2+15=17

Step-by-step explanation:

The spring constant k is 810,000 N/m.

To solve this problem, we need to use the equation for the force exerted by a spring, which is F = -kx, where F is the force, x is the displacement, and k is the spring constant. We also need to use the equation for the momentum of an object, which is p = mv, where p is the momentum, m is the mass, and v is the velocity.
When the rail car hits the bumper, it experiences a force from the spring, which causes it to decelerate. This deceleration is given by the equation a = F/m, where a is the acceleration. We can substitute F = -kx into this equation to get a = -kx/m. We can also use the equation \(v^2 = u^2 + 2as,\)where u is the initial velocity (which is 1.8 m/s), s is the displacement of the spring (which is 0.06 m), and a is the deceleration that we just found. Rearranging this equation, we get \(a = (v^2 - u^2)/(2s).\)
Equating these two expressions for a, we get \(-kx/m = (v^2 - u^2)/(2s).\)Solving for k, we get \(k = (mv^2)/(2xs).\) Substituting in the given values, we get\(k = (6000 kg * (1.8 m/s)^2)/(2 * 0.06 m)\) = 810,000 N/m.
Therefore, the spring constant k is 810,000 N/m.

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Answer:

43, it raises by 4 each time. good luck!

Step-by-step explanation:

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

Answer:

37 ft²

Step-by-step explanation:

We can decompore this shape into a square with side length 4 and a triangle with base 7 and height 6.

The area of the square is 4·4=16

The area of the triangle is 6·7/2=3·7=21

The area of the total shape is 16+21=37

Answer:

y = 5x + 19

Step-by-step explanation:

y = 5x + b

4 = 5(-3) + b

4 = -15 + b

19 = b