In an effort to improve scores on college-entrance exams, the principal at a large high school chooses 35 students
at random who have already taken the exam. The students are enrolled in a six-week prep course to improve their
scores. After the prep course, the students take the college-entrance exam again. The mean difference (first-
second) in exam scores is -1.75 points with a standard deviation of 7.12 points. Assuming the conditions for
inference are met, what is the test statistic for testing the hypotheses Hoi Hoi = 0; He Moip <0?
O 1-1.75 -0
7.12
35
o
0+ 1.75
7.12
35
-1.75 -0
7.12
35
=
1.75 -0
7.12
35
Nex
Submit
Mark this and return

In An Effort To Improve Scores On College-entrance Exams, The Principal At A Large High School Chooses

Answers

Answer 1

Using the t-distribution, it is found that the test statistic for the hypotheses test is given by:

[tex]t = \frac{-1.75 - 0}{\frac{7.12}{\sqrt{35}}}[/tex]

What are the hypotheses tested?

At the null hypotheses, it i tested if the mean difference remains the same, that is:

[tex]H_0: \mu  = 0[/tex]

At the alternative hypotheses, it is tested if it has decreased, hence:

[tex]H_a: \mu < 0[/tex].

What is the test statistic?

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.

The parameters are given as follows:

[tex]\overline{x} = -1.75, s = 7.12, n = 35[/tex].

Hence the test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{-1.75 - 0}{\frac{7.12}{\sqrt{35}}}[/tex]

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Related Questions

HELPP MEEEEEEEEEEEEEE thanks
no fake answers please will mark the brain list if correct.

Answers

Answer:  Equal to.

Step By Step Explanation:

Answer:

they are equal

Step-by-step explanation:

5/6 * 250

(5 * 250)/6

1250/6

208.33

(1/3 * 250) + (1/2 * 250)

(250/3) + (250/2)

500/6 + 750/6

1250/6

208.33

Explain how to solve this problem:
A credit card company charges 12.9% annual interest. If they
compound interest monthly, how much will you owe for every dollar
you do not pay off for a year?

Answers

"every dollar" means P = 1

compounded monthly interest means 12

1(1+(.129/12)^(12(1)) =

in calculator do pemdas

1. .129/12 = 0.01075

2. 0.01075 + 1 = 1.01075

3. (1.01075)^12 = 1.136907156 =

answer = 1.14

Mayfield schools

lcps

If you answer this I SWEAR OMM I WILL LOVE YOU FOR FREAKING EVER

Answers

Answer:

5/24 square mm

Step-by-step explanation:

A = lw

A = 5/8 x 1/3

A = 5/24

Ivan purchased one bookmark and 7 books for a total of $82.00. The price of the bookmark was $2.20 and each book cost the same amount.

What was the cost of one book in dollars and cents?

Answers

82-2.20=79.80
79.80/7=11.40
One book cost $11.40

Answer:

$11.40

Step-by-step explanation:

Subtract the bookmark from the total amount

82.00 - 2.20 = 79.80

Divide the answer by how many books you purchased

79.80/7

= ($11.40)

Can someone help me with this please thank you.​

Answers

Answer:

1) 104

2) 132

3) 110

4) 112

5) 105

Step-by-step explanation:

These questions involve the sum of interior and exterior angles.
for the first 4 questions,

Use the formula: (n-2)*180-(sum of remaining angles)

For example q1, it has 4 angles

So substitute 4 into n

(4-2)*180=360

64+99+93+x=360

x=104°

(Do the same for q2-4)

For q5,

Sum of exterior angles of ANY polygon=360°

Therefore,

88+75+92+x=360

x=105°

Pls double check the answers yourself with a calculator, hope you find it helpful! :)

So basically to find an angle of a polygon you have to use the rule of sum of the interior angles of a polygon which is ‘(n - 2)x180’
- whereas the n stands for the number of sides the shape has
Then find the x angle by subtracting the sun of the other angles so;

1. (4-2)x180=360
360 - 99 - 93 - 64 = 104
2.(5-2)x180=540
540 - 82 - 114 - 90 - 122 = 132
3. 180 - 50 - 20 = 110
4. (6-2)x180=720
720 - 92 - 145 - 136 - 102 - 133 = 112

However the last question is a bit tricky since we have to find the exterior angle but it’s the same because (attached photo)
5. (4-2)x180=369
360 - 88 - 75 - 92 = 105

if you work 8 hours every two days, how many hours will he work in 7 days

Answers

Answer:

28 hours for 7 days

Step-by-step explanation:

8/2 =

4

4 hours for 1 day

1 x 7 =

7

7 x 4

28

28 for 7 days

Answer:

I would say the answer is 28

Step-by-step explanation:

In two days, you would work 8 hours. To make sense, in one day you would work 4 hours.

Mulitply 4*7

or

2 days: 8 hrs

4 days: 16 hrs

6 days: 24 hrs

7 days: 28hrs

please help < <<<<<<<<33333333 TYY
-20 -8 + (-12)

Answers

Answer:

-30

Step-by-step explanation:

-20-8=-28

-28-12

=-30

simplify the expression
4(-8x+5)-(-33x-26)

Answers

Answer:

x+46

Step-by-step explanation:

x+46 because you do math and dont worry ive done this problem pls can you help me with my problem

Simplification of polynomials

What are polynomials?

Polynomials are mathematical expressions made up of many terms.

How to simplify a polynomial?

To simplify the maximum of a polynomial, you must group all like terms and rearrange them from highest to lowest power.

we solve ⇒ 4(-8x+5)-(-33x-26)

To distribute

-32x+20-(-33x-26)

add up the numbers

-33+20+33x+26

Combine like terms.

-32x+46+33x

Multiply by 1.

1x + 46

Solutionx + 46 ======> Answer


What is the shortest distance between the line y = 3x + 5 and the
point (0,0)? Round your answer to nearest tenth.


I NEED A FAST ANSWER PLS

Answers

Answer:

1.6 to nearest tenth.

Step-by-step explanation:

This will be a line which is perpendicular to y = 3x + 5 and the line will also pass through the point (0,0).

Equation of that line:

Slope = -1/3  so we can write:

y - 0 = -1/3(x - 0)

So its y = -1/3 x,

The point where it intersects with  the given line is now found:

-1/3x = 3x + 5

10/3 x = -5

x = -5 *3/10 =  -1.5.

- and the y coordinate = 3(-1.5) + 5 = 0.5.

So the point is (-1.5, 0.5)

and the required distance = √((-1.5)^2 + 0.5^2)

=  1.58

= 1.6 to nearest tenth.

The circle below has center P, and its radius is 3 m. Given that m 2 QPR=170°, find the length of the minor arc OR.
Give an exact answer in terms of 7, and be sure to include the correct unit in your answer.
Length of minor arc OR :

Answers

Any smooth curve connecting two points is called an arc. The length of the arc m∠QPR is 2.8334π m.

What is the Length of an Arc?

Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,

[tex]\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360} = 2\pi r \times \dfrac{\theta}{2\pi}[/tex]

where

θ is the angle, that which arc creates at the centre of the circle in degree.

Given the radius of the circle is 3m, while the angle made by the arc at the centre of the circle is 170°. Therefore,

The length of an arc = 2πr×(θ/360°) = 2π × 3 ×(170/360°) = 2.8334π m

Hence, the length of the arc m∠QPR is 2.8334π m.

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find the perimeter of the figure below, composed of a rectangle and a semicircle. round to the nearest tenths place 4 9

Answers

Answer:

36.28 units

Step-by-step explanation:

perimeter of rectangle and perimeter of semi circle

2(l +h) + 1/2 (pid) + d

2(4+9)+ 1/2 (3.14 ×4) +4

2(13) + 10.28

=36.28 units

can someone please help me

Answers

The matrix expressions are:

[tex]\left[\begin{array}{cc}12&7\\5&3\end{array}\right] * \left[\begin{array}{cc}-15&-17\\26&29\end{array}\right] = \left[\begin{array}{cc}2&-1\\3&2\end{array}\right][/tex]Matrix 2 cannot be solved[tex]\left[\begin{array}{cc}-2&3\\-4&5\end{array}\right] * \left[\begin{array}{c}3&4\end{array}\right] = \left[\begin{array}{c}6&8\end{array}\right][/tex]

How to solve the matrix expression?

The rule for matrix product states that:

If the dimensions of matrix A is m by n, and the dimension of matrix B is n by p.

Then, the dimension of the product matrix is: m by p

Using the above rule, we have:

Expression 1:

[tex]\left[\begin{array}{cc}12&7\\5&3\end{array}\right] * \left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}2&-1\\3&2\end{array}\right][/tex]

Expand:

[tex]\left[\begin{array}{cc}12a + 7c&12b + 7d\\5a + 3c &5b + 3d\end{array}\right] = \left[\begin{array}{cc}2&-1\\3&2\end{array}\right][/tex]

By comparison, we have:

12a + 7c = 2

5a + 3c = 3

12b+ 7d = -1

5b + 3d = 2

Using a graphing tool, we have:

a = -15, b = -17, c = 26 and d = 29

Hence, the matrix expression is:

[tex]\left[\begin{array}{cc}12&7\\5&3\end{array}\right] * \left[\begin{array}{cc}-15&-17\\26&29\end{array}\right] = \left[\begin{array}{cc}2&-1\\3&2\end{array}\right][/tex]

Expression 2:

[tex]\left[\begin{array}{cc}6.75&3\\-9&-4\end{array}\right] * \left[\begin{array}{c}a&b\end{array}\right] = \left[\begin{array}{c}8&5\end{array}\right][/tex]

Expand:

[tex]\left[\begin{array}{c}6.75a +3b\\-9a - 4b\end{array}\right] = \left[\begin{array}{c}8&5\end{array}\right][/tex]

By comparison, we have:

6.75a + 3b = 8

-9a - 4b = 5

Using a graphing tool, the system of equation has no solution

Hence, the matrix expression cannot be solved

Expression 3:

[tex]\left[\begin{array}{cc}-2&3\\-4&5\end{array}\right] * \left[\begin{array}{c}a&b\end{array}\right] = \left[\begin{array}{c}6&8\end{array}\right][/tex]

Expand:

[tex]\left[\begin{array}{c}-2a +3b &-4a +5b\end{array}\right] = \left[\begin{array}{c}6&8\end{array}\right][/tex]

By comparison, we have:

-2a + 3b = 6

3a + 5b = 8

Using a graphing tool,

a = 3 and b = 4

Hence, the matrix expression is:

[tex]\left[\begin{array}{cc}-2&3\\-4&5\end{array}\right] * \left[\begin{array}{c}3&4\end{array}\right] = \left[\begin{array}{c}6&8\end{array}\right][/tex]

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How to Solve 1.5 kg : 350kg

Answers

30/7

Step-by-step explanation:

1.5kg : 350g

1kg = 1000g

So, 1.5kg = 1500g

1500g : 350g

1500/350 = 30/7

The answer is 30/7.

Is X/3=5+3y/4 a linear equation

Answers

Answer:

Yes

Step-by-step explanation:

Linear Equations

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.

What is a Linear Equation?

An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.

9. A triangle has sides whose lengths are 5, 12, and 13. A similar triangle could have sides with lengths
of ? Give side lengths of two different similar triangle.

Answers

Answer:

One similar triangle: 15, 36 and 39

Another similar triangle: 10, 24, 26

Step-by-step explanation:

When a triangle is similar, it has corresponding sides that are each longer are shorter than the original triangle by a scale factor.

Scale factor

A scale factor is a number that you multiply the original triangle's sides by. After multiplying each original side, you get the side lengths of a new and similar triangle.

The original sides from the question are 5, 12 and 13.

First similar triangle

Let's pick 3 to be a scale factor.

Multiply every original side by the scale factor to get the side lengths of a similar triangle.

5 × 3 = 15

12 × 3 = 36

13 × 3  = 39

∴ One similar triangle can have the sides 15, 36 and 39.

Second similar triangle

Let's pick another scale factor: 2

Now, we do the same. Multiply the original sides by the scale factor.

5 × 2 = 10

12 × 2 = 24

13 × 2  = 26

∴ Another similar triangle can have the sides 10, 24 and 26.

Choosing a scale factor

We can pick almost any number to be a scale factor. If we pick a scale factor that is:

greater than 1, then the similar triangle will be larger.a fraction, then the similar triangle will be smaller.

We can make an infinite amount of other similar triangles just by changing the scale factor.

Let (-4,-5) be the point on the terminal side of theta find cos (theta), sec (theta) & cot (theta)

Answers

Check the picture below.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{-4}\\ b=\stackrel{opposite}{-5}\\ \end{cases} \\\\\\ c=\sqrt{(-4)^2 + (-5)^2}\implies c=\sqrt{41} \\\\[-0.35em] ~\dotfill[/tex]

[tex]cos(\theta )\implies \cfrac{\stackrel{adjacent}{-4}}{\underset{hypotenuse}{\sqrt{41}}}\implies \cfrac{-4}{\sqrt{41}}\cdot \cfrac{\sqrt{41}}{\sqrt{41}}\implies -\cfrac{4\sqrt{41}}{41} \\\\\\ sec(\theta )\cfrac{\stackrel{hypotenuse}{\sqrt{41}}}{\underset{adjacent}{-4}}\implies -\cfrac{\sqrt{41}}{4}~\hfill cot(\theta )\implies \cfrac{\stackrel{adjacent}{-4}}{\underset{opposite}{-5}}\implies \cfrac{4}{5}[/tex]

Triangle ABC has vertices A(-4, 3), B(2, 3) , C(-5, 1). A dilation with a scale factor of 5 and center at the orgin is appiled to this triangle.
What are the coordinates of C' in the dilated image? Enter your answer by filling in the boxes​

Answers

Answer:

C' (- 25, 5 )

Step-by-step explanation:

since the dilatation is centred at the origin, then multiply each of the coordinates by the scale factor 5

C (- 5, 1 ) → C' (5 × - 5, 5 × 1 ) → C' (- 25, 5 )

Bag a contains $3$ white and $2$ red balls. bag b contains $6$ white and $3$ red balls. one of the two bags will be chosen at random, and then two balls will be drawn from that bag at random without replacement. what is the probability that the two balls drawn will be the same color? express your answer as a common fraction

Answers

It has a 1/2 chance for bag b than a but with the balls for b it’s a 1/18 chance but for A it’s a 1/6 Chance

Answer:

9/20

Step-by-step explanation:

i tried and got it wrong. it is 9/20

I need help I’m very confused.

Answers

Answer:

i think its D but i'm not very sure. try it

Step-by-step explanation:

1. whats -3 x - 5 = 6
2. whats -4 ( y - 2 ) =12

show work

Answers

Answer:

x = -11/3 or 3.666y = -1

Step-by-step explanation:

Given:

1) -3x -5 = 6

2)- 4 ( y - 2 ) =12

To Find:

Value of x for no. 1Value of y for no. 2

Solved:

1)-3x -5 = 6

Transpose -5 from LHS to RHS

=> -3x = 6+5=> -3x = 11

Transpose -3 from LHS to RHS

=> x = (11/-3)=> x = -11/3=> x = -3.666

2) -4(y-2) = 12

Apply distributive property

=>(−4)(y)+(-4)(-2)=12=>-4y+8 = 12

Transpose 8 to RHS

=> -4y = 12-8=> -4y =4

Transpose -4 to RHS

=> y = 4/-4=> y = -1

Sam is d years old. Rupert's age is of Sam's age. lan is 15 years older than Rupert. If lan is 26 years old, a) write an equation in terms of d. b) what is Sam's age?​

Answers

Answer: d = 11 bc 26 - 15 would equal 11

The equation of this line is
y = 2x + 3. which of the
following shows a way that
we could change the
equation to make the line
flatter?

Answers

Answer:

y= x + 3

Step-by-step explanation:

I have the same question and that was the correct answer

y= x+ 3 is flatter.

What is equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation.

As, the slope of y = x + 3 is 1.

So, the gradient is 1.

So, y = 2x + 3 is flatter

The slope of 2x-1 is 2

and, the slope of y= -4x+3 is -4

and the gradient is -4.

So, y= -4x +3 is steeper.

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I need help with? this question. what is 7(-7)+149-56/2=?

Answers

Answer:

the answer is 22 hope this helps

Step-by-step explanation:

7(-7)= -49

-49+149=100

100-56=44

44/2=22

The correct answer is 22

best estimate for 6 3/4 divided by 1 2/3

Answers

Answer:

4.05

Step-by-step explanation:

Find the missing term
(m-n)^2=m^2-_____+n^2

Answers

Answer:

  2mn

Step-by-step explanation:

The expanded form of the square can be found using the distributive property.

__

  (m -n)² = (m -n)(m -n) = m(m -n) -n(m -n) . . . use the distributive property

  = m² -mn -nm +n² . . . . use it again

  = m² -2mn +n² . . . . . . combine like terms

The missing term is 2mn.

Joseph charges $20 an hour with a $5 flat fee for soccer lessons. Kellen charges $15
an hour with a flat fee of $10 for soccer lessons.
Which equation represents the situation when the cost is the same to be coached by
Joseph or Kellen, where his hours?
20h + 10 = 15h + 5
--
5h + 20 = 10h + 15
20h + 5 = 15h + 10
O5h + 15 = 10h + 20

Answers

Answer:

20h + 10 = 15h + 5

Step-by-step explanation:

Looking at the statements we see that Joseph charges 20h +5 and kellen 15h +10

I need help, please and thank you

Answers

Answer:

1 and 1/12

hope this helped

one of the legs of a right triangle measured 12cm and the other leg measures 7cm find the measure of the hypotenuse

Answers

Answer: 14

Step-by-step explanation: The Pythagorean Theorem states that a^2 + b^2 = c^2, where a=leg one, b=leg two, and c=hypotenuse. Using this, our formula will be 12^2 + 7^2. Twelve squared is 144, and seven squared is 49. Added together, the sum is 193. To change this to an unsquared form we must square root it. [tex]\sqrt{193}[/tex]  equals about 13.89. Fourteen if you round up to the nearest whole number.  But just a warning, I don't know what place you are supposed to round to so you may have to use the underlined value instead.

Answer:

Using pythagoras theorem : hypotenuse² = opp² + adj ²

: hyp² = 12² + 7²

hyp² = 193

therefore hypotenuse = root of 193

Hope it helps

x -10° 3x 5x X 2х - 10=360

Answers

Answer:

30°

Step-by-step explanation:

x+3x+(x-10)°+5x+(2x-10)°=360°

=>4x+x-10°+5x+2x+10°=360°

=>12x=360°

=>x=360°/12

=>x=30°

Which shape is always a parallelogram

Answers

Answer:

A Square, Rectangle, and a Rhombus

Step-by-step explanation:

I think that is all of them.

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Find the volume of the pyramid to the nearest cubic unit. Use a calculator.64 m^396 m^3192 m^3256 m^3 A tangent PQ at a point P of a circle of radius. 5cm meets a line through the centre O at a point Q so that OQ = 12 cm. Length PQ is :A)12 cm B) 13 cm C) 8.5 cm D) 119 cm What do you know about measure AEB compared to angle ADB? How do I use the standard altherigm? What is the slope of a line parallel to the line whose equation is 6x + 5y = -5.Fully simplify your answer. Bennett has been living with a debilitating phobia of crowds and is seeking treatment. When he was a young child, he was separated from his family in a crowd and not reunited for several hours. Now he is a teenager, and he and his family have been researching various treatment options and are making an appointment with a therapist this week.Part AConsider Bennett's developmental stage as you answer. Relate each of these terms to the success of Bennett's therapy: Resilience Unconditional positive regard Systematic desensitization Hierarchy of anxiety-triggering experiences Therapeutic alliancePart BRelate each of the terms to how they could limit the success of Bennett's therapy: Major depressive disorder Cultural barriers Find the height of the cylinder if the radius is 3 and the volume is 340 What is the volume of the Pop-Cone? What is the price per cubic inch for the Pop-Cone? Base=5inHeight=8in PLSS HELP ASAP The figure below shows a rectangular prism with a height of h inches. Coders often build games on top of ______________. Los pirineos aka Pyrenees Pls help a boy out Using the slope formula, find the slope of the line through the given points.(6,9) and (4,3) What is the median of this data set?{12, 8, 9, 12, 10, 13,8}Enter your answer in the box. A car travels for 2 hours at a speed of 55 km/h. calculate the distance traveled pls pls help me Calculate the volume of a cone whose base radius is 3 and half cm and vertical height 24cm 2. Define chain reaction. A hot air balloon holds 1,592 cubic meters of helium. the density of helium is 0.1785 kilograms per cubic meter. how many kilograms of helium does the balloon contain, rounded to the nearest tenth of a kilogram? 432.3 kg 284.2 kg 2,043.7 kg 5,435.3 kg PLEAAAAAAAAAAAASEEEEEEEEEEEEE HELP!!!!!!!!! | In your own words, describe when you should use area, and when you should use volume in calculating the amount of space an object occupies. Find the length of arc XPY. Leave your answer in terms of pi. I need help asap please