A business school wants to compare a new method of teaching reading to slow learners to the current standard method. They decide to base this comparison on the results of a reading teat given at the end of a learning period of six months. Of a random sample of 11 slow learners. 5 are taught by the new method and 6 are taught by the standard method. All 11 children are taught by qualified instructors under similar conditions for a six month period. Assume that the populations are normally distributed and the population variances are equal.
New Method Score: 81 80 79 81 76
Standard Method Score: 69 68 71 68 73 72
Test at 1% level of significance that the new method is worse than the old method, i.e., average score obtained by the new method is less than the average score obtained by the standard method. Compute the mean and standard deviation of each data set.
State the null and the alternative hypotheses.
H0:
H1:
Write down the formula of the test statistics and find its value.
Determine the rejection region and make a decision.
Make a conclusion in the context of the problem.

Answer: Angle-Side-Angle Theorem

Step-by-step explanation:

The two triangles are shown to have congruent angles. By the Reflexive Property of Congruence, Side PM is shared and congruent between the two.

Because the angles are on either side (left and right) of the shared side, the triangles are congruent by the Angle-Side-Angle Theorem.

Answer:

$81.06

A P E X :)

Answer:

70in^3

Step-by-step explanation:

Ok so the the formula for volume for a cube is V= L x W x H

so if the dimensions are 5in by 3in by 8in, the volume of the cube is 5x8x3 = 70 inches^3

The solution for y in the equation √(7 - x)² + (9 - y)² is infinite many solutions

From the question, we have the following parameters that can be used in our computation:

√(7-x)²+(9-y)²

Express tthe equation properly

So, we have the following representation

√(7 - x)² + (9 - y)²

The above is an expression, not an equation

This means that the value of the variable y can take any value and the equation will be true

In other words, it means that the variable y has infinite many solutions because it is not an equation but it is an expression

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Step-by-step explanation: 1 is in the ten thousand places and has a place value of 10,000. 3 is in the thousand's place and has a place value of 3,000. 5 is in the hundreds and has a place value of 500.

Answer:

0.0462 ± 2.131(0.01565)

Step-by-step explanation:

The confidence interval for the slope, :

Slope Coefficient = 0.0462

Slope Coefficient ± Margin of error

Margin of Error = Tcritical * standard error

Standard Error (rotation) = 0.01565

We use T distribution, because sample size is small ; n = 16

Tcritical at 95% ; df = n - 1 = 16 - 1 = 15

Tcritical(0.05, 15) = 2.131

Hence,

Margin of Error = 2.131(0.01565)

Slope Coefficient for rotation = 0.0462

95% Confidence interval :

0.0462 ± 2.131(0.01565)

The 95% confidence interval for the slope of the regression line is 0.0462 ± 0.0333 or (0.01284, 0.07955)

The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.

Slope coefficient = 0.0462

Slope coefficient ± Margin of error

The margin of error will be given as

[tex]\rm Margin \ of \ error = T_{critical} \times standard \ error[/tex]

Standard error = 0.01565

We use T distribution because the sample size is small

[tex]\rm n = 16 \\\\T_{critical} \ at \ 95\% \ ; df = n-1 = 16- 1 = 15\\\\T_{critical} \ (0.05, 15) = 2.131[/tex]

Then we have

Margin of error = 2.131 × 0.01565

Margin of error = 0.0333

Then the 95% confidence interval will be

0.0462 ± 0.0333

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Answer:

y=1/2x+4

Step-by-step explanation:

m = y2-y1/x2-x1 = 5-1/2-(-6) = 4/8 = 1/2

since you have the slope, graph the points and find the y-intercept.

y=1/2x+4

Answer:12

Step-by-step explanation: multiply the second fraction by 3 on the top and bottom to equalize the tow fractions denominators

Answer:

D

Step-by-step explanation:

If a = 38 and b = 26 then the equation would be y^2/1444 + x^2/676 = 1

also just graph it or smth

The equation of the ellipse in the figure is x^2/676 + y^2/1296 = 1

The figure is an ellipse, and it has the following parameters:

The equation of the ellipse is then calculated using:

x^2/r^2 + y^2/R^2 = 1

So, we have:

x^2/26^2 + y^2/36^2 = 1

Evaluate the exponents

x^2/676 + y^2/1296 = 1

Hence, the equation of the figure is x^2/676 + y^2/1296 = 1

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Answer:

i, n, e, q, u, a, l, t, y

Step-by-step explanation:

You repeated some letters.

pls give me brainliest and have a nice day! Hope it helps!

Answer:

1,425,299

Step-by-step explanation:

Answer:

1425299

Step-by-step explanation:

35×75(46×13-55)-76

multiply stuff in parenthesis

35×75(598-55)-76

subtract stuff in parenthesis

35×75(543)-76

multiply

1425375-76

subtract

1425299

Answer:

B.

Why?

Step-by-step explanation:

"Jessica's teacher asked her to create a "histogram" representing students and cell phone use."

the hint histogram means the history or record of

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(FROM CROSS)

Answer:

12 cakes

Step-by-step explanation:

37 / 3 = 12.33333

Answer:

38

Step-by-step explanation:

The range is the difference between the highest value and the lowest value. Here the highest value is 55 and the lowest 17. Therefore, the range is take away 17 from 55 which equals to 38

The range for this set of data is 38.

Option B is the correct answer.

The range is a measure of dispersion or spread in a set of data.

It is defined as the difference between the largest and the smallest values in the data set.

Range provides an idea of how much the data values are spread out or dispersed.

If the range is small, it indicates that the data values are close together, while a large range indicates that the data values are spread over a wider range of values.

We have,

To find the range of a set of data, we need to subtract the smallest value from the largest value.

Here, the smallest value is 17 and the largest value is 55.

So,

The range of the data set is:

55 - 17 = 38

Thus,

The range for this set of data is 38.

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It's possible that the lines do not appear to be perpendicular, even though the slopes are negative reciprocals, because the lines may not be intersecting at 90 degrees angle,

What are the slopes of the two lines?

The slope of a straight line between two points says (x1,y1) and (x2,y2) can be easily determined by finding the difference between the coordinates of the points. The slope is usually represented by the letter m.

The slopes of the two lines that Laurie graphed, -2 and 1/2, are negative reciprocals of each other, which means that their product is -1.

In a Cartesian coordinate system, lines that are perpendicular to each other will have slopes that are negative reciprocals of each other, and the product of their slopes will be -1.

However, it's possible that the lines do not appear to be perpendicular, even though the slopes are negative reciprocals, because the lines may not be intersecting at 90 degrees angle.

The two lines could be skew lines that never intersect and thus cannot be perpendicular.

Another reason could be that the lines may not be in the same coordinate system or not graphed on the same set of axes.

When working with slope, we always assume that the lines are defined on a 2D Cartesian coordinate system, if that is not the case, it could cause the lines to not appear as perpendicular.

Hence, it's possible that the lines do not appear to be perpendicular, even though the slopes are negative reciprocals, because the lines may not be intersecting at 90 degrees angle, another reason could be that the lines may not be in the same coordinate system or not graphed on the same set of axes.

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Answer: A' (3, 6)

Step-by-step explanation: It is given that the point at is at the coordinate of (1, 2). In this coordinate, 1 represents the x-coordinate while 2 represents the y-coordinate. All you have to do is plug the values of x and y into (x+2)(y+4); so, it will look like this, (1+2)(2+4). Therefore, the new x-coordinate is 3 and the new y-coordinate is 6, so A'(3, 6).

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15

PLEASE LOOK AT THE ATTACHMENT

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The graph representing the given pairs is represented by the equation y = (4/5)x + 40.

        {m} - slope                 {c} - intercept along the y - axis.

Given is that Mr. Hart recorded the ratio of the minutes spent driving to the miles driven while on a road trip.

The given table is as follows -

Number of Minutes {m} :      75         60

Number of Miles {M} :          100        80

The slope of this graph will be -

m = (80 - 60)/(100 - 75)

m = 20/25

m = 4/5

The equation of the line can be written as -

y = (4/5)x + c

For the point (75, 100) as follows -

100 = 4/5 x 75 + c

100 = 4 x 15 + c

c = 100 - 60

c = 40

The equation of the graph will be -

y = (4/5)x + 40

Refer to the graph attached.

Therefore, the graph representing the given pairs is represented by the equation y = (4/5)x + 40.

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Answer:

I don't know what the options are so I'm just gonna list a few and if they aren't on there lmk the options you have to choose from

Step-by-step explanation:

5/6, 15/18, 20/24, 25/30, 30/36, 35/42, 40/48, 45/54, 50/60, 55/66, 60/72, 65/78, 70/84, 75/90, 80/96, 85/102, 90/108, 95/114, 100/120

Answer:

5/6

Step-by-step explanation:

the equivalent fraction of 10/12 is 5/6 because both the numerator and the denominator are divisible by 2.

Therefore, the probability of drawing "OBJ" from the bowl is (1/11) * (1/11) * (1/11) = 1/1331

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. It is customary to start with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem.

The word "mathematics" has 11 letters, so there are 11 letters in the bowl. The probability of drawing the letter "O" is 1/11, since there is only 1 "O" in the 11 letters. Similarly, the probability of drawing the letter "B" is 1/11, and the probability of drawing the letter "J" is 1/11 as well.

Since the events of drawing the letter "O", "B", and "J" are independent of each other, the probability of drawing all three letters in order is the product of their individual probabilities.

Therefore, the probability of drawing "OBJ" from the bowl is (1/11) * (1/11) * (1/11) = 1/1331

It is a very low probability, the chances of drawing that sequence are very low.

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As a result, after studying the diagram below of triangle and considering the reasons that follow, the appropriate answers are 1, 2, 3, and 4.

Any three points in a plane can be connected to create triangles, which are polygonal (shapes) with three sides and three angles. They are among the first shapes in geometry that are explored. Since each polygon (with 4, 5, 6, or n sides) may be divided into triangles, triangles are particularly significant.

Here,

A segment bisector in this case is 1)OP.

Since segment LKMN is not divided into two equal sections, NO OP is not a segment bisector.

A perpendicular bisector is

2)OP.

NO,Because a perpendicular bisector creates an angle to the normal and divides a segment into two equal halves, OP is not a perpendicular bisector.

The angle bisector NO is OP.

Due to the fact that OP they do not divide any angles into two equal pieces.

4) The diagram's vertex of a pair of congruent angles is O.

YES Since O lines connect two angles with the same degree ()

5)O is the right angle's vertex.

NO

As a result of things not being at a straight angle.

6) A segment's midway in the diagram

By drawing diagonals across the four vertices LMNK, it is possible to determine where this segment's midpoint lies.

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Answer:

C shifted 8 units down

Step-by-step explanation:

The slope (part with x) lets us know its negative, the second number lets us know the y intercept.

SO since the original has no second number the y intercept is 0 but since the new equation is -8 it means its 8 units lower than 0 hence -8

From the exponential function, the average rate of change from year 1 to year 4 is 62.43, the average rate of change from year 5 to year 8 is 67.57 and the rate of change per year is 65

An exponential function is a type of function that involves a variable in an exponent. It is of the form f(x) = a⋅b^x where a and b are constants and b > 0, b ≠ 1. The input to the function, x, is the exponent that the base, b, is raised to. The output, f(x), is the result of raising the base to the exponent.

In this problem, we have to calculate the rate of increase per year.

Data;

rate = 2%

P = 3000

The exponential growth can be calculated by;

A = P(1 + r)ⁿ

In year 1

A = 3000(1 + 0.02)¹

A = 3060

In year 4

A = 3000(1 + 0.02)⁴

A = 3247.3

a)

The average rate of change from year 1 to year 4 will be

A = [3000(1 + 0.02)⁴ - 3000(1 + 0.02)¹] / 4 - 1

A = 62.43

The average rate of change from year 1 to year 4 is 62.43

b)

The average rate of change from year 5 to year 8 is calculated as

A = [3000(1 + 0.02)⁸ - 3000(1 + 0.02)⁵] / 8 - 5

A = 67.57

C)

The rate of change increase can be calculated as;

A = [3000(1 + 0.02)⁸ - 3000(1 + 0.02)¹] / 8 - 1

A =65

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Write a letter to your friend describing your hobbies. (80 words)A2/32, Chengal Nagar

Tambaram

Chennai – 600023

May 5, 2021

Dearest Malu,

I hope this letter finds you in the best of health. I received your letter the other day asking how I am spending my leisure time these days.

I have developed many hobbies over the years but collecting stamps and embroidery have been my favourite so far. Stamp collection is something I started as a kid. I had just taken a few pages off my notebook and made it my stamp book. I get so excited every time I see the postman. I wait to see what kind of stamp I will get. Knowing that I have a liking for collection of stamps, my cousins have been sending it across to me every time they find a different stamp. I can’t wait to show you my collection.

Embroidery is another hobby I picked up recently. I always liked embroidered clothes. I just started trying out different stitching patterns. Slowly, I learned almost everything, and now I am selling embroidered frames and dresses. It is so fulfilling to see a piece of work come out so well. I am sending you a gift along with this letter, something I made, as your birthday is fast approaching.

Hope to meet you soon.

Your dearest friend,

Renitaالسلام عليكماخوي عارض شريطPandemic

The total number of times social media browsers have been showed your content.

A general, but simplified earned media value formula is: EMV = impressions x cost per 1000 impressions x adjustable variable. The adjustable variable can be anything you are looking to track like engagement or impressions.

Simplifying

22 = 2(x + 8)

Reorder the terms:

22 = 2(8 + x)

22 = (8 * 2 + x * 2)

22 = (16 + 2x)

Solving

22 = 16 + 2x

Solving for variable ‘x’.

Move all terms containing x to the left, all other terms to the right.

Add ‘-2x’ to each side of the equation.

22 + -2x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0

22 + -2x = 16 + 0

22 + -2x = 16

Add ‘-22’ to each side of the equation.

22 + -22 + -2x = 16 + -22

Combine like terms: 22 + -22 = 0

0 + -2x = 16 + -22

-2x = 16 + -22

Combine like terms: 16 + -22 = -6

-2x = -6

Divide each side by ‘-2’.

X = 3

Simplifying

X = 3

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Answer:

-2

Step-by-step explanation:

sustitue -4 into x for 3-x which would equal 7 because a negative times a negative equals positive. Then substitue 1 in for x in -4x-5 which would get you -9

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Answer:

5/18

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

1+1=2