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The number of participants that would be needed for a within-subjects experiment is 80.

An experiment simply means a research that's conducted in order to get information about a particular thing.

In this case, we want to know the number of participants that will be neeed within-subjects experiment comparing four different treatment conditions with a total of 20 scores in each treatment.

This will be:

= Number of scores × Number of treatment

= 20 × 4

= 80

The participants needed are 80.

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Answer:

this is false

Step-by-step explanation:

plz mark brainliest if you can

Answer:

B. false

Step-by-step explanation:

this is false because a plane shape is a two dimensional shape while a solid is a three dimensional shape

Answer:

a=11

Step-by-step explanation:

So, the line that (9a+6) and 75 are sharing is straight, meaning that it is 180 degrees. Also, (9a+6) and 75 are sharing the line. Even though we don't know there exact measurements, when know that by adding them together we will get 180 degrees.

1. (9a+6) + 75 = 180

2. 9a + 81 = 180

3. 9a = 99

4. a = 11

Hope this helped!

The total number of tickets sold = 516.

Let the number of student tickets sold be S.

Let the number of adult tickets sold be A.

According to the given condition,

Also,

Thus 129 adult tickets were sold.

Answer:

The building is 13.91 m tall

Step-by-step explanation:

The parameters given are;

Angle of elevation to the top of the building = 71°

Angle of depression to the bottom of the building = 26°

Height of the man = 2  m

Therefore, the sight of the man, the man's height, and the distance of the man from the building forms a triangle where:

The hypotenuse side = The sight of the man to the bottom of the building

Hence;

In ΔABC, A being at the eye level or head level of the man, B at the foot and C at the bottom of the building

∴ ∠A + Angle of depression to the bottom of the building = 90°

∠A = 90° - 26° = 64°

∠B = 90° and ∠C = 26° (Sum of angles in a triangle)

\(Tan(C) = \frac{AB}{BC}\)

Distance of the man from the building = BC

\(Tan(26) = \frac{2}{BC}\)

\(BC= \frac{2}{ Tan(26) } = 4.1 \, m\)

Given that the angle of elevation to the top of the building = 71°, we have;

ΔAET

Where:

A is at the head level of the man,

E is the point on the building directing facing the man and

T is the top of the building

Hence AE = BC and ∡TAE = 71°

TE + AB= The height of the building

\(Tan(TAE) = \dfrac{TE}{AE}\\\\Tan(71) = \dfrac{TE}{4.1}\)

∴ TE = tan(71°) × 4.1 = 11.91 m

Hence the height of the building = 11.91 + 2 = 13.91 m.

Answer:

y^2 -3y - 18

Step-by-step explanation:

y x y= y^2

3 x y = 3y

y x -6 = -6y

-6y +3y = -3y

3 x -6 = -18

y^2 -3y - 18

Using conditional probability, it is found that there is a 0.5714 = 57.14% probability that the student speaks ilocano given that he speaks kankanaey.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which:

In this problem, the events are given as follows:

Hence, the parameters are given as follows:

\(P(A \cap B) = 0.4, P(A) = 0.7\)

Then, the probability that the student speaks ilocano given that he speaks kankanaey is given by:

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4}{0.7} = 0.5714\)

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Answer:   565 feet

This value is approximate.

===============================================

Explanation:

Imagine you are at the top of the lighthouse, and look straight horizontally outward. Then imagine looking down 23 degrees to spot the boat. This forms the angle of depression.

The adjacent angle complementary to this is 90-23 = 67 degrees. This is the interior angle of the triangle needed, and this angle is at the top of the triangle.

tan(angle) = opposite/adjacent

tan(67) = x/240

x = 240*tan(67)

x = 565.4045677977 approximately

x = 565 feet

The diagram is below.

The Area Of The Circle Is 452.16

The Circumference Of The Circle Is 75.36

The objective of this research is to collect data on a specific component of the off-campus student population.The amount of time they spend travelling to courses each week.

a) The population for this study is all off-campus students at this college, and the sample is a random sample of 45 off-campus students who are polled. The sample is chosen at random to be representative of the entire population.

b) The data being gathered is the amount of time the surveyed students spend each week travelling to school. Because it reflects a numerical measurement, this is quantitative data. This information will be used to calculate the average commuting time for off-campus students and to identify any possible concerns or areas for improvement in commuting.

c) This is a descriptive research, since it seeks to characterise and summarise the features of the off-campus student population in terms of commuting time. The study's purpose is to better understand off-campus students' commuting patterns and gather ideas into how to enhance their commuting experience.

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The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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Answer:

i don't know

Step-by-step explanation:

i am lower grade srry

Answer:

C.

Step-by-step explanation:

The area of trapezoid is calculated with the following formula:

\( \frac{a + b}{2} \times h\)

The measures are given:

height = 7 in

base1 = 12

base2 = 16

According to the given measures the correct answer would be C:

\( \frac{1}{2} (12 + 16)(7)\)

Answer:

20 and 10

These are the only two possible numbers who match those descriptions.

Answer:

\(x=\Large\boxed{17}\)

\(AC=\Large\boxed{47}\)

Step-by-step explanation:

Given information

\(AC+CB=AB\)

\(AC=3x-4\)

\(CB=x-2\)

Requirement of the question

\(\text{--Determine the value of x}\)

\(\text{--Determine the value of AC}\)

Given equation

\((3x-4)+(x-2)=62\)

Combine like terms

\(3x-4+x-2=62\)

\(3x+x-4-2=62\)

\(4x-6=62\)

Add 6 on both sides

\(4x-6+6=62+6\)

\(4x=68\)

Divide 4 on both sides

\(4x\div4=68\div4\)

\(x=\Large\boxed{17}\)

Substitute the value into the expression for AC

\(AC=3(17)-4\)

\(AC=51-4\)

\(AC=\Large\boxed{47}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

-14 + x

Step-by-step explanation:

16 - (1 - 5x) - 4x - 29

take out the parathas

16 - 1 + 5x - 4x - 29

do the numbers

16 - 1 - 29 = -14

then the x's

5x - 4x = 1x or 1

-14 + x

(a) The probability that both John and Jane watch the show is 0.15 or 15% (rounded to 2 decimal places).
(b)The probability that Jane watches the show, given that John does, is 0.3 or 3.

(c) Since these probabilities are equal, John and Jane watch the show independently of each other.

The answer is Yes.

John and Jane watch the show independently of each other if

(a) To find the probability that both John and Jane watch the show, we can use the conditional probability formula:

P(A and B) = P(A|B) * P(B),

where A represents John watching the show and B represents Jane watching the show.
Given, P(A|B) = 0.5 and P(B) = 0.3.
P(A and B) = 0.5 * 0.3 = 0.15.
Therefore, the probability that both John and Jane watch the show is 0.15 or 15% (rounded to 2 decimal places).
(b) To find the probability that Jane watches the show, given that John does, we can use the conditional probability formula: P(B|A) = P(A and B) / P(A).
Given, P(A and B) = 0.15 and P(A) = 0.5.
P(B|A) = 0.15 / 0.5 = 0.3.
Therefore, the probability that Jane watches the show, given that John does, is 0.3 or 30% (rounded to 3 decimal places).
(c) John and Jane watch the show independently of each other if P(A and B) = P(A) * P(B).

In this case, P(A and B) = 0.15 and P(A) * P(B) = 0.5 * 0.3 = 0.15.

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Approximately 53.47% of prospective employees who test positive actually use illegal drugs.

we will use a tree diagram and the given information: 6% of prospective employees actually use illegal drugs, the false positive rate is 5%, and the false negative rate is 10%.
Step 1: Draw a tree diagram:
- First level: divide into two branches, one for "Uses Drugs (6%)" and one for "Does Not Use Drugs (94%)".
- Second level: under "Uses Drugs", divide into two branches, "Tests Positive (90%)" and "Tests Negative (10%)". Under "Does Not Use Drugs", also divide into two branches, "Tests Positive (5%)" and "Tests Negative (95%)".
Step 2: Calculate the probabilities:
- Probability of using drugs and testing positive: 0.06 * 0.9 = 0.054
- Probability of not using drugs and testing positive: 0.94 * 0.05 = 0.047
Step 3: Determine the percentage of prospective employees who test positive and actually use illegal drugs:
- Add the probabilities of testing positive (both using and not using drugs): 0.054 + 0.047 = 0.101
- Divide the probability of using drugs and testing positive by the total probability of testing positive: 0.054 / 0.101 ≈ 0.5347
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To solve for taxes in equilibrium, we can start by substituting the given equations into the equation for YD:

YD = Y - T

Since C and T are constant, we can write:

YD = (c0 + c1YD) - (t0 + t1Y)

Now, we can rearrange the equation to isolate YD:

YD = c0 + c1YD - t0 - t1Y

Simplifying further:

YD - c1YD = c0 - t0 - t1Y

Factoring out YD:

YD(1 - c1) = c0 - t0 - t1Y

Dividing both sides by (1 - c1):

YD = (c0 - t0 - t1Y) / (1 - c1)

Now, let's analyze the effects of a drop in c0. If c0 decreases, it implies that consumption decreases. As a result, YD will decrease, leading to a decrease in Y. Taxes will also decrease because they are determined by YD.

If the government cuts spending to balance the budget, it will lead to a decrease in G. This decrease in spending will reduce Y and further decrease YD. However, the impact on Y will depend on the magnitude of the cut in spending.

If the cut in spending is significant, it can counteract the decrease in output caused by the drop in c0. On the other hand, if the cut in spending is small, it may reinforce the effect of the drop in c0 on output. The overall effect on Y will depend on the relative magnitudes of the changes in c0 and G.

A drop in c0 will decrease both Y and taxes in equilibrium. If the government cuts spending to balance the budget, the effect on Y will depend on the magnitude of the cut in spending relative to the decrease in c0.

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The cut in spending required to balance the budget counteracts the effect of the drop in c₀ on output (Y).

In equilibrium, taxes can be solved using the given equations:

C = c₀ + c₁YD

T = t₀+ t₁Y

YD = Y – T

To find taxes in equilibrium, we need to substitute the value of YD into the equation for taxes:

T = t₀ + t₁YD

Now, let's analyze the impact of a drop in c₀ on output (Y) and taxes (T).

When c₀ decreases, it means that the intercept of the consumption function (C) decreases.

This results in a decrease in consumption at every level of income. As a result, the aggregate demand decreases, leading to a decrease in output (Y).

The decrease in output (Y) leads to a decrease in income and, consequently, a decrease in disposable income (YD).

Since taxes (T) depend on disposable income, a decrease in YD will lead to a decrease in taxes (T).

Next, let's consider the effect of a government spending cut to balance the budget.

When the government cuts spending to balance the budget, it reduces its expenditure (G) without changing its tax revenue (T).

This reduction in government spending decreases aggregate demand, which in turn reduces output (Y).

However, since the government is keeping the budget balanced, the decrease in government spending is offset by the decrease in taxes (T) that occurs as a result of the decrease in output (Y).

Therefore, the cut in spending required to balance the budget counteracts the effect of the drop in c₀ on output (Y).

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Answer:

92.5

Step-by-step explanation:

\(\frac{18.5}{100} = \frac{x}{500}\)

cross multiply:

18.5 · 500 = 9250

100 · x = 100x

isolate x by dividing 100 from both sides:

x = 92.5

hope this helps!

Answer:

the answer is D

Step-by-step explanation:

i just did the test

Answer:

D

Step-by-step explanation:

The correct value of variance of the return for this investment is closest to 0.25057.

To find the variance of the return for the investment, we need to calculate the expected return and then use the formula for variance.

The expected return is calculated by taking the average of the possible returns weighted by their probabilities:

Expected return = (35% * 0.35) + (-20% * 0.65)

= 0.1225 - 0.13

= -0.0075

Next, we calculate the variance using the formula:

Variance = \((Return1 - Expected return)^2 * Probability1 + (Return2 - Expected return)^2 * Probability2\)

Variance = (0.35 - (-0.0075))^2 * 0.35 + (-0.20 - (-0.0075))^2 * 0.65

= 0.3571225 * 0.35 + 0.1936225 * 0.65

= 0.12504 + 0.12553

= 0.25057

Therefore, the variance of the return for this investment is closest to 0.25057.

Among the given answer choices, the closest value is 0.151 (option A). However, none of the provided answer choices matches the calculated variance exactly.

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Answer:

b=67.5°

Step-by-step explanation:

hope it helps!!!

The equation is shown in the picture that represents the relationship between the side lengths of each triangle.

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

We have side lengths of a right-angle triangle shown in the picture.

We know the Pythagoras theorem:

hypotenuse² = perpendicular² + base²

For the first side lengths: 10, 6, 8

10² = 6² + 8²

For the second side lengths: √5, √3, √8

√8² = √5² + √3²

For the third side lengths: √30, √5, 5

√30² = √5² + 5²

For the fourth side lengths: 1, √37, 6

√37² = 6² + 1²

For the fifth side lengths: 3, √2, √7

3² = √7² + √2²

Thus, the equation is shown in the picture that represents the relationship between the side lengths of each triangle.

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Therefore , the solution of the given problem of unitary method comes out to be 2.5 gallons of black paint will be used.

The task may be completed using this well-known simplicity, extant variables, and any essential components from the first Diocesan customised query. As a result, you might get another opportunity for employing the item. If not, significant  event effects in algorithmic knowledge will disappear.

Here,

The painter uses

=>   1/8 gallons of black paint to mix 1 gallon of grey paint (since the ratio of black to white paint is 1:7, or

=>   1 part black paint to 8 parts white paint). Therefore the painter would require:

To mix 20 gallons of grey paint.

As 1/8 gallon of black paint is required for every gallon of grey paint and there are 20 gallons of grey paint that need to be mixed, 20/8 equals 2.5 gallons of black paint.

=> White paint, 20 - 2.5 = 17.5 gallons (since the total amount of paint needed is 20 gallons, and 2.5 gallons of black paint will be used)

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Answer:

The model is made in a 1:40 ratio

Step-by-step explanation:

How many times is 4 multiplied to be equal to 160?

4(x) = 160

X = 160 / 4

X = 40

The proportion, rate, and ratio are almost the same.

They represent the correspondence between the parts and the whole since they all express a binary relationship between the quantities, that is, objects, people, tablespoons.

If the ratio is 1: 2 it could be read that for every 1 there are 2.

For example 1: 2 cups; For every cup of something there are 2 cups of something else.

In this case, 1:40; For every inch of the model, there are 40 feet in the playground.

Answer:

y = -2x + 12

Step-by-step explanation:

because I took the quiz (k12)

Answer:

A

Step-by-step explanation:

IT should be a becasue you do p+6=6p

2-6p

Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5