The distribution of sample means (for a specific sample size) consists of Group of answer choices the sample means for all the possible samples (for the specific sample size) all the scores contained in the sample all the scores contained in the population the mean computed for the specific sample of scores

1. The volume of the container is 618.75 cm³

2. The amount of that will fit into the cone is 75.36cm³

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

1. The shape of the container is a trapezoidal prism. The volume of a prism is expressed as;

V = base area × height

base area = 1/2(a+b)h

h = √ 26² - 13²

h = √ 676 - 169

h = √ 507

h = 22.5

base area = 1/2( 34+21) × 22.5

= 1237.5/2

= 618.75 cm³

2. Volume of a cone = 1/3πr²h

= 1/3 × 3.14 × 3² × 8

= 226.08/3

= 75.36 cm³

therefore the amount of grain that will fit into the cone is 75.36 cm³.

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Answer:

Step-by-step explanation:

place a point at (0,0)- the starting point

next point at (2,1) - in 2 minutes she is 1 block away

Next point (4,2)- in 4 minutes she will be 2 blocks away

Connect those 3 points

then place a point at (9, 2)- 5 minutes later she was still at the store

Connect points

Point at (11,1) and (12,0) and connect

The equation of the given line is:

Slope intercept form is: y = -x + 6

Point slope form is: (y - 6) = -1(x - 0)

Standard form is: x + y = 6

The formula for the linear equation between two coordinates is:

(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)

The two coordinates are:

(0, 6) and (1, 5)

Thus:

(y - 6)/(x - 0) = (5 - 6)/(1 - 0)

This can be simplified as:

(y - 6) = -1(x - 0)

It can be further written as:

y - 6 = -x - 0

y = -x + 6

The formula for linear equation in standard form is:

Ax + By = C

Thus, we have: x + y = 6

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To find σg(X)^2, we need to calculate the variance of the function g(X) = 4X^2 + 2, where X is a random variable with a given density function. The density function is defined as f(x) = (3/2)(x + 1) for 0 ≤ x and 0 elsewhere. By calculating the variance of g(X), we can determine the value of σg(X)^2.

To calculate the variance of g(X), we first need to find the mean of g(X), denoted as E[g(X)]. For a continuous random variable, the mean is calculated as the integral of the function multiplied by the density function. In this case, we have:

E[g(X)] = ∫(4X^2 + 2) * f(x) dx

Substituting the given density function, we have:

E[g(X)] = ∫(4X^2 + 2) * (3/2)(X + 1) dx

After simplifying and evaluating the integral, we can find the value of E[g(X)].

Next, we calculate the variance of g(X), denoted as Var[g(X)]. The variance is calculated as the expectation of the squared difference between g(X) and its mean, E[g(X)]^2. In mathematical terms:

Var[g(X)] = E[(g(X) - E[g(X)])^2]

By substituting the values of g(X) and E[g(X)], we can evaluate this expression and find the value of Var[g(X)].

Finally, to find σg(X)^2, we take the square root of Var[g(X)], i.e., σg(X) = √Var[g(X)]. After calculating Var[g(X)], we can determine the value of σg(X) to three decimal places as needed.

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Answer:

see explanation

Step-by-step explanation:

Find the difference using the absolute value function, that is

| - 8 - 4 | = | - 12 | = 12

or

| 4 - (- 8) | = | 4 + 8 | = | 12 | = 12

Answer:

3318007392

Step-by-step explanation:

174 x 206 x 532 x 174 = 3318007392

sorry is if this answer wrong:)

Step-by-step explanation:

174×206×532×174=

= 3,138,007,392

Answer:

D

Step-by-step explanation:

The diagonals of a rhombus bisect the angles, thus

∠ ABC = ∠ CBD = 5x - 18 and

∠ BAC = ∠ DAC = x

The diagonals are perpendicular bisectors of each other, thus

the angles round the intersection of the diagonals = 90°

Consider the triangle on the left of the rhombus, then

5x - 18 + x + 90 = 180 ( sum of angles in a triangle )

6x + 72 = 180 ( subtract 72 from both sides )

6x = 108 ( divide both sides by 6 )

x = 18 → D

Answer:

x=4

Step-by-step explanation:

AB+BC=AC

2x-5+6x=27

8x-5=27

8x=32

x=4

Answer:

x = 7, y = 2

Step-by-step explanation:

x= 4y -1

since x is by itself 4y-1 will substitute for x in the other equation x+2y=11

it will become 4y-1+2y=11

+1 +1

add one to both sides since is doesn't have a variable.

it will become 4y+2y= 12 now add 4y+2y

becomes 6y=12

_ _

6 6

divide by 6 on each side and you get y=2.

now x=4(2)-1 you will substitute y into the first equation.

x=8-1 subtract 8 from 1 to get 7.

x=7

y=2

Answer:

hope it helpss

Step-by-step explanation:

hastag keri onlornengs

Answer:

$1,568.00

Step-by-step explanation:

I=700 x 0.28 x 8 =1568

The simple interest accumulated on a principle of $700 at a rate of 0.28% per year for 8 years is $1,568.00

Answer:

C

Step-by-step explanation:

The missing measures on the triangle are given as follows:

The three trigonometric ratios are the sine, the cosine and the tangent, and they are obtained according to the rules presented as follows:

The sum of the measures of the internal angles of a triangle is of 180º, hence the measure of angle A is given as follows:

m < A + 23 + 90 = 180

m < A = 67º.

Side AC is opposite to the angle of 23º, while the hypotenuse is of 8 units, hence:

sin(23º) = AC/8

AC = 8 x sine of 23 degrees

AC = 3.1.

Side BC is adjacent to the angle of 23º, while the hypotenuse is of 8 units, hence:

cos(23º) = BC/8

BC = 8 x cosine of 23 degrees

BC = 7.4.

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Answer:

d + 8/hr

Step-by-step explanation:

Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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Answer:

x = 3

Step-by-step explanation:

I have attached a picture of me explaining you step by step.

Hope this helps, thank you !!

Answer:

n=15/8

Step-by-step explanation:

For the entire independent-measures experiment 24 individuals are participated.

Different participants are utilized in each condition of the independent variable in an experimental design known as an independent measures design, or between-groups. This indicates that a different group of participants is present for each condition of the experiment. A research strategy known as an independent measures design uses numerous experimental groups with subjects only being assigned to one group. Throughout the experiment, each participant is solely exposed to one independent variable condition. A drug trial for a novel medicine would serve as an example. This has the benefit of preventing order effects, which occur when participants behave differently as a result of the order in which conditions are done, often as a result of factors like boredom or exhaustion.

We are given the value  t(22) = 5.30, p < .01

So here degree of freedom (df) is 22 and it is independent so there is two samples,

so df= n₁+n₂-2

⇒ 22 =  n₁+n₂-2

⇒ n₁+n₂ = 24.

Thus for the entire experiment 24 individuals are participated.

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Answer: $195 in debt

Step-by-step explanation:

$225+$120= $345

$345-$150= $195

Answer:

green

Step-by-step explanation:

Answer:

27864000

Step-by-step explanation:

Do 8.1*10^4 * 3.44*10^2

The 8th term of the geometric sequence is 13122x^22

The explicit form of a geometric sequence is expressed according to the equation;

Tn = ar^n-1

where

r is the common ratio

a is the first term

n is the number of terms

Given the sequence below;

6x,18x^4,54x^7

r = 18x^4/6x

r = 3x^3

a = 6x

n = 8

Substitute to have:

T8 = 6x(3x^3)^8-1

T8 = 6x (3x^3)^7

T8 = 13122x^22

Hence the 8th term of the geometric sequence is 13122x^22

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The standard error of the sampling distribution of sample proportions for samples size

1) n = 35 ⇒ SE = 0.07

2) n = 100 ⇒ SE = 0.04

3) n = 250 ⇒ SE = 0.03

We know that the formula for thr standard error(SE) of the sample Proportion is:

SE = \(\sqrt{\frac{p(1-p)}{n} }\)

as the sample size increases, the standard error decreases.

Here, the percentage of people who prefer dogs to cats is 78%

so, p = 0.78

For samples of size n = 35,

SE = \(\sqrt{\frac{0.78\times (1-0.78)}{35} }\)

SE = \(\sqrt{\frac{0.1716}{35} }\)

SE = 0.07

For sample size n = 100,

SE = \(\sqrt{\frac{0.78\times (1-0.78)}{100} }\)

SE = \(\sqrt{\frac{0.1716}{100} }\)

SE = 0.041

For samples of size n = 250,

SE = \(\sqrt{\frac{0.78\times (1-0.78)}{250} }\)

SE = \(\sqrt{\frac{0.1716}{250} }\)

SE = 0.03

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The complete question is:

The percentage of people who prefer dogs to cats is 78% for a given population. What is the standard error of the sampling distribution of sample proportions for samples of size n=35, n=100, and n=250?

Data set A and B have the same number of data points, but A has a larger standard deviation and a smaller range compared to B.

Assume that,

There are two data sets, A and B, with the same number of data points:

Data Set A: [3, 5, 7, 9, 11]

Data Set B: [6, 7, 8, 9, 10]

In this example, both data sets have five data points, but Data Set A has a larger standard deviation while having a smaller range compared to Data Set B.

Data Set A has a larger standard deviation because the values are more spread out from the mean.

The standard deviation of Data Set A is approximately 3.16, while the range is,

11 - 3 = 8

On the other hand, Data Set B has a smaller standard deviation because the values are closer to the mean.

The standard deviation of Data Set B is approximately 1,

While the range is,

10 - 6 = 4

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The probability that the student chosen will be a boy who watched tennis yesterday is 1/8.

Given that 56 students were asked if they watched tennis yesterday, 20 of the students are boys, 17 girls watched tennis yesterday and 32 students did not watch tennis yesterday and out of all these one students is to be chosen at random.

We have to find the probability that the student chosen will be a boy who watched tennis yesterday.

Total number of students is 56.

The total number of girls is 56-20=36

Girls who didn't watch tennis is 36-17=19

Number of the boys who did not watch the game is 32-19=13

Number of boys watching a tennis match is 20-13=7

Now, we will find the probability that the student chosen will be a boy who watched tennis yesterday.

Probability=Number of boys watching a tennis match/Total number of students
Probability=7/56

Probability=1/8

Hence, the probability that the student chosen will be a boy who watched tennis yesterday when 56 students were asked if they watched tennis yesterday is 1/8.

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The volume of the parallelepiped with sides given by vectors A, B and C is 13 cubic cm, which is the final answer.

The given vectors are:

A = [-4, 3, 2] cm, B = [2,1,3] cm and C= [1, 1, 4] cm

In order to calculate the volume of parallelepiped, we will use vector triple product equation:

Volume = A . (BXC)|, where BXC represents the cross product of vectors B and C.

Step-by-step solution:

We have, A = [-4, 3, 2] cm

B = [2,1,3] cm

C = [1, 1, 4] cm

Now, let's find BXC, using the cross product of vectors B and C.

BXC = | i    j     k|                    2      1     3                            1      1     4        | i    j     k |  = -i + 5j - 3k

Where, i, j, and k are the unit vectors along the x, y, and z-axes, respectively.

The volume of the parallelepiped is given by:

Volume = A . (BXC)|

Therefore, we have: Volume = A . (BXC)

\(Volume = [-4, 3, 2] . (-1, 5, -3)\\Volume = (-4 \times -1) + (3 \times 5) + (2 \times -3)\\Volume = 4 + 15 - 6\\Volume = 13\)

Therefore, the volume of the parallelepiped with sides given by vectors A, B and C is 13 cubic cm, which is the final answer.

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Answer:

1426

Step-by-step explanation:

52 x 34 = 1768

1768 - 340 = 1426

Answer:

b or d

Step-by-step explanation: