A researcher is investigating whether a reading intervention program improves reading comprehension for second graders. He collects a random sample of second graders and randomly assigns each second grader to participate in the reading intervention program or not participate in the program. The researcher knows that the standard deviation of the reading comprehension scores among all second graders is σ = 25.24.
Group 1 consists of n₁ = 52 second graders who did not participate in the program. Their mean reading comprehension score is M₁ = 36.8. Group 2 consists of n₂ = 56 second graders who did participate in the program. Their mean reading comprehension score is M₂ = 52.4.
Of the plots that follow, which best represents a plot of these results?

The brackets or error bars shown at the top of each bar extend _______ above and below each of the group means. For group 1, the error bar extends _______units above and below the mean for group 1.

Answer:

[tex]x^2[/tex]

Step-by-step explanation:

Hello!

The HCF or the highest common factor (sometimes also known as the greatest common factor, GCF), is the greatest factor between terms.

First, let's expand both terms:

If we keep them on top of another, we can see that the overlapping variables are [tex]x*x[/tex], meaning that the greatest common factor between them is [tex]x^2[/tex].

The volume of the right circular cylinder with a radius of 6 m and a height of 9 m is 1018 m².

The volume of a substance is the total space occupied by a three-dimensional object.

The volume of a right circular cylinder with a radius of r units and a height of h units is given by the formula V = πr²h square units.

We are asked to find the volume of the right circular cylinder with a radius of 6 m and a height of 9 m.

Substituting these values in the formula, we get Volume,

V = π(6)²(9) m² = 324π m² = 1017.876 m² ≈ 1018 m².

Therefore, the volume of the right circular cylinder with a radius of 6 m and a height of 9 m is 1018 m².

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Answer:

[tex]2261.9cm^{2}[/tex]

Step-by-step explanation:

Total Surface Area of Cylinder = [tex]2\pi rh+2\pi r^{2}[/tex]

Note: Do not get tricked by the 24cm (taking 24cm as the radius), that is the diameter.

To find r, radius = [tex]\frac{1}{2} d[/tex]

                          =[tex]\frac{1}{2} (24)\\[/tex]

                          = 12cm

Now we know r = 12cm, h = 18cm

Now we substitute r and h into the formula to find the total surface area.

Total Surface Area of Cylinder = [tex]2\pi (12)(18)+2\pi (12)^{2} \\=432\pi +288\pi \\=720\pi cm^{2} \\=2261.9cm^{2}[/tex]

Answer

sum of all 3 digit even number = 247050

The series is 100 + 102 + 104 + .... + 998

which by using formula Sn = N/2 ( a + an)

where N = number of terms

a = first term = 100

an = last term = 998

The value of the function is 157.5

The function is given as:

f(80)=1000(0.5)^(80/30)

Evaluate the quotient

f(80)=1000(0.5)^(8/3)

Evaluate the exponent

f(80)=1000 * 0.15749013123

Evaluate the product

f(80) = 157.49013123

Approximate

f(80) = 157.5

Hence, the value of the function is 157.5

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The option fourth StartFraction 50 divided by 5 Over 100 divided by 5 EndFraction = StartFraction 10 Over 20 EndFraction is correct.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

Let x be the number.

According to the problem.

50% of x = 10

x = 10 ÷ 50%

= 10×(50/100)

= (50÷5)/(100÷5) = 10/20

Thus, the option fourth StartFraction 50 divided by 5 Over 100 divided by 5 EndFraction = StartFraction 10 Over 20 EndFraction is correct.

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The percentage of gold will be equal to 39.7%

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %.

1. First find the density of your chain

Density = mass / volume

Volume = displaced water volume

                     = Volume of Final level of water - initial level of water

                     = 20 ml - 15 ml = 5 ml

Mass = 66.7 g

Density = 66.7g / 5 ml = 13.34 g/ml

2. Second, write the density of the chain as the weighted average of the densities of the other metals:

Mass of gold x density of gold + mass of other metals x density of other metals, all divided by the mass of the chain.

Calling x the amount of gold, then the amount of other metals is 66.7 - x:

[(19.3x+(9.7)(66.7-x)] / 66.7 = 13.34

19.3x + 635.66 - 9.7x = 889.778

9.6x = 254.118

x = 26.47

Then, there are 26.47 grams of gold in 66.7 grams of chain, which yields a percentage of:

(26.47 / 66.7) x 100 = 39.7%

Therefore the percentage of gold will be equal to 39.7%

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Answer:

9x^3-15x

Step-by-step explanation:

Answer:

28n+24

Step-by-step explanation:

3 ( 7 n + 5 n + 8 ) - 8 n

combine 7n and 5n to get 12n

3 ( 12n + 8 ) - 8

distribute 3 to 12n +8

36n+24-8n

combine like terms

28n+24

since ypu cant simply any more it stays like thats

*by the way there is an app that helps with equation and explains the process, its Microsoft Math Solver. hope it helped

The equation which represent number of days is 87 ÷ n = 3

It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers such that the multiplication of those smaller numbers will be equal to the larger number taken.

Here,

total hour practicing = 87 hours

Daily hours for practicing = 3 hours

total number of days = n days

Now, according to question;

n X 3 = 87

87 ÷ n = 3

Thus, the equation which represent number of days is 87 ÷ n = 3.

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The amount you should put is 3846

The given parameters are:

Amount, A = 4000

Rate, r = 8%

Time = 0.5 year i.e. 6 months

The amount on simple interest is calculated as:

A = P(1 + RT)

This gives

4000 = P * (1 + 8% * 0.5)

Evaluate the product

4000 = P * (1 + 0.04)

Evaluate the sum

4000 = P * (1.04)

Divide both sides by 1.04

P= 3846

Hence, the amount you should put is 3846

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The mean of the distribution sample is 0.62 and the standard error of the distribution sample is 0.069

Mean is the study of central tendency of a data set. The average value of the data points is the mean.

It is given that

The probability that the students have the student loan is  = 62% = 0.62

The probability that the students do not have student loan is

   1 - p

= 1 - 0.62

= 0.38

Total number of students is

n = 50

1) [tex]\rm \mu \;\hat p[/tex] = p = 0.62

2) [tex]\rm \sigma\hat p[/tex]  = [tex]\rm \sqrt {p ( 1 - p ) / n}[/tex]

=  [tex]\rm \sqrt {(0.62 * 0.38) / 50}[/tex]

= 0.069

Therefore the mean of the distribution sample is 0.62 and the standard error of the distribution sample is 0.069.

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Answer:

$72

Step-by-step explanation:

100%-$60

1%-$0.60

100%-30%=70%

70%-$0.60x70=$42

Answer: Recognize the equation as that of a vertical line passing through the x-axis at −3

If the price of a barrel of crude oil went up to $75, the amount that would be paid per barrel is $75.

The U.S. dollar is the main currency for trade around the world which includes the trade of crude oil.

This means barrels of crude oil are denominated in dollars. An increase of crude oil to $75 per barrel means that Americans would be $75 because they already use the currency that the oil is denominated in.

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Answer:

  D, E

Step-by-step explanation:

A set of ordered pairs represents a function if no x-value is repeated in the set.

{(-1,6), (4,4), (7, 13), (4,8)} . . . . . not a function

{(3,6), (3, 5), (9, 12), (0, -3)} . . . not a function

{(-5,0), (6, 8), (3,-5), (-5,-3)} . . . . not a function

{(7,9), (8,4), (-2,4),(-3, 14)} . . . . no repeated x-values; is a function

{(8,3), (3, 7), (6,4), (5,4)} . . . . . .no repeated x-values; is a function

C is the right answer.

Trust me char!!

Na bakla na yswa!

Answer:

26

Step-by-step explanation:

[tex]f(x)=3x^{2} -5x+4\\f(-2)=3(-2)^{2} -5(-2)+4\\=3(4)+10+4\\=12+10+4\\=26[/tex]

Answer:

26

Step-by-step explanation:

3(-2)^2 = 12

5(-2) = -10

So 12 - (-10) + 4 = 26

The number of cakes Mrs Darby can decorate in a 30-hour week is 22.5 cakes.

Time conversion

1 hour = 60 minutes

1 1/3 hours = 60 × 1 1/3

= 60 × 4/3

= 240/3

= 80 minutes

30 hours = 30 × 60

= 1800 minutes

Number of cakes decorated = 1800 / 80

= 22.5 cakes

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The common ratio of the associated geometric sequence is 4

The table of values is given as:

x y

1 9

2 36

3 144

4 576

5 2304

The common ratio is calculated as:

Ratio = y(2)/y(1)

This gives

Ratio = 36/9

Divide

Ratio - 4

Hence, the common ratio is 4

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The express elevator will go 4 floors per seconds.

We have to find the rate of the express elevator before we can find how many floors one can go in one seconds.

time = 12 3 / 4  = 51 / 4 seconds

number of floor = 51 floors

rate = 51 / 51 / 4

rate = 51 × 4 / 51

rate = 4 floors per seconds

Therefore, the elevator will go 4 floors per seconds.

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Answer:

Inferential statistics use measurements from the sample of subjects in the experiment to compare the treatment groups and make generalizations about the larger population of subjects. There are many types of inferential statistics and each is appropriate for a specific research design and sample characteristics

Step-by-step explanation:

hope this helps (﹡ˆ﹀ˆ﹡)♡

Answer:

The probability that a selected randomly rail bridge will exhibit structural distress given that it is old

= (200/520) * 0.5 * 0.7 * 100

= 0.1346154 * 100

= 13.46154 %

If the angles of a convex octagon are [tex]2x+6,x+13,2x-1,2x+12,2x-17,3x-4,3x-10,4x.[/tex] then the smallest angle is 21°.

Given The exterior angles of convex octagon are [tex]2x+6,x+13,2x-1,2x+12,2x-17,3x-4,3x-10,4x.[/tex]

and we have to find the value of smallest angle.

The sum of the  angles of a convex octagon is 360°

so to calculate the smallest angle we need to find out the value of x first and which is calculated by summing up all the exterior angles and put them equal to 360.

(2x+6)+(x+13)+(2x-1)+(2x+12)+(2x-17)+(3x-4)+(3x-10)+4x=360

2x+6+x+13+2x-1+2x+12+2x-17+3x-4+3x-10+4x=360

2x+x+2x+2x+2x+3x+3x+4x+6+13-1+12-17-4-10=360

19x-1=360

19x=360+1

19x=361

x=361/19

x=19

Putting the value of x in all the angles and we will find the following:

2x+6=2*19+6=44

x+13=19+13=32

2x-1=2*19-1=37

2x+12=2*19+12=50

2x-17=2*19-17=21

3x-4=3*19-4=51

3x-10=3*19-10=47

4x=4*19=76

Hence among all the exterior angles the smallest angle is 21°.

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Answer: [tex]8\sqrt{5}[/tex]

Step-by-step explanation:

By the geometric mean theorem,

[tex]\frac{y}{16}=\frac{4}{y}\\\\y^{2}=64\\\\y=8[/tex]

So, by the Pythagorean theorem,

[tex]8^2 + 16^2 = x^2\\\\320=x^2\\\\x=\boxed{8\sqrt{5}}[/tex]

Answer:

y = (-4/5)x - 7/5

Step-by-step explanation:

The general equation of the line is slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept. You have been given the value of the slope (m = -4/5). To find the y-intercept, use the slope and values from the Point (2,-3) to isolate "b".

y = mx + b                                   <----- Slope-intercept form

y = (-4/5)x + b                             <------ Plug -4/5 in "m"

-3 = (-4/5)(2) + b                         <----- Plug in "x" and "y" values from Point

-3 = -8/5 + b                               <------ Multiply -4/5 and 2

-15/5 = -8/5 + b                          <----- Assign common denominator

-7/5 = b                                      <----- Add 8/5 to both sides

Now that you have the slope and y-intercept, you can construct the equation.

y = (-4/5)x - 7/5

Answer:

Step-by-step explanation:

let the consecutive even integers be 2x,2x+2

8×2x=7(2x+2)

16x=14x+14

16x-14x=14

2x=14

x=14/2=7

so numbers are 2×7,2×7+2

or

14,16

Answer:

14) 21.136505024965 m

15) 43.076759215619 km

Step-by-step explanation:

14)

let h be the height of the lighthouse:

tan(41.3) = 18.7/h

Then

h = 18.7÷tan(41.5)

  = 21.136505024965 m

………………………………………

15)

90-71.4 =18.6

Let s be the distance that the plane flew

towards the south:

tan(90 - 71.4) = s/128

Then

tan(18.6) = s/128

Then

s = tan(18.6)×128

  = 43.076759215619 km

14.)

See the diagram below.

Here use tan rule:

[tex]\sf tan(x) = \dfrac{opposite}{adjacent}[/tex]

[tex]\sf tan(41+ \frac{30}{60} ) = \dfrac{18.7}{adjacent}[/tex]

[tex]\sf adjacent = \dfrac{18.7}{tan(41.5)}[/tex]

[tex]\sf adjacent = 21.14[/tex]

The height of the lighthouse is 21.14 m.

15.)

See the diagram below.

Here use tan rule:

[tex]\sf tan(x) = \dfrac{opposite}{hypotenuse}[/tex]

[tex]\sf tan(18.6) = \dfrac{opposite}{128}[/tex]

[tex]\sf opposite = 128 tan(18.6)[/tex]

[tex]\sf opposite = 43.08[/tex]

The plane travelled 43.08 km far south.

Hello !

Answer:

[tex]z {}^{ - 6} [/tex]

Step-by-step explanation:

[tex] \frac{z {}^{3} }{z {}^{9} } = z {}^{3 - 9} = z {}^{ - 6} [/tex]