Roy hit 3 less than 4 times the number of balls during baseball practice than Joe did. Together the boys hit 52 balls. How many balls did Joe hit?

Given:

Leon had 84 paper clips.

He gave [tex]\dfrac{3}{4}[/tex] of them to Joe.

Joe gave [tex]\dfrac{2}{7}[/tex] of what he received to Justin.

To find:

How many paper clips did Justin get?

Solution:

Leon had 84 paper clips and he gave [tex]\dfrac{3}{4}[/tex] of them to Joe.

Number of paper clips Joe has = [tex]\dfrac{3}{4}\times 84[/tex]

                                                    = [tex]63[/tex]

Joe gave [tex]\dfrac{2}{7}[/tex] of what he received to Justin.

Number of paper clips Justin has = [tex]\dfrac{2}{7}\times 63[/tex]

                                                       = [tex]18[/tex]

Therefore, Justin has 18 paper clips.

Answer:

a. The number of people that should be in the pilot study are 600 people

b. The point estimate is 0.62[tex]\overline 6[/tex]

c. At 95% confidence level the true population proportion of potential car buyers of hybrid vehicle is between the confidence interval (0.588, 0.6654)

d. Two ways to reduce the margin of error are;

1) Reduce the confidence interval

2) Use a larger sample size

Step-by-step explanation:

a. The given parameters for the estimation of sample size is given as follows;

The margin of error for the confidence interval, E = 4% = 0.04

The confidence level = 95%

The sample size formula for a proportion as obtained from an online source is given as follows;

[tex]n = \dfrac{Z^2 \times P \times (1 - P)}{E^2}[/tex]

Where, P is the estimated proportions of the desired statistic, therefore, we have for a new study, P = 0.5;

Z = The level of confidence at 95% = 1.96

n + The sample size

Therefore, we have;

[tex]n = \dfrac{1.96^2 \times 0.5 \times (1 - 0.5)}{0.04^2} = 600.25[/tex]

Therefore, the number of people that should be in the pilot study in order to meet this goal at 95% confidence level is n = 600 people

b. The point estimate for the population proportion is the sample proportion  given as follows;

[tex]\hat p = \dfrac{x}{n}[/tex]

Where;

x = The number of the statistic in the sample

n = The sample size

From the question, we have;

The number of potential car buyers, n = 600

The number of respondent in the sample that indicated that they would consider purchasing a hybrid, x = 376

Therefore, the point estimate, for the proportion of potential car buyers that would consider buying a hybrid vehicle, [tex]\hat p[/tex] = 376/600 = 0.62[tex]\overline 6[/tex]

c. The confidence interval for a proportion is given as follows

[tex]CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]

Therefore, we get;

[tex]CI=0.62 \overline 6\pm 1.96\times \sqrt{\dfrac{\hat{0.62 \overline 6}\cdot (1-\hat{0.62 \overline 6})}{600}}[/tex]

C.I. ≈ 0.6267 ± 0.0387

The 95% confidence interval for the true population proportion of potential buyers of hybrid vehicle, C.I. =  (0.588, 0.6654)

d. The margin of error is given by the following formula;

[tex]MOE_\gamma = z_\gamma \times \sqrt{\dfrac{\sigma ^2}{n} }[/tex]

Where;

[tex]MOE_\gamma[/tex] = Margin of error at a given level of confidence

[tex]z_\gamma[/tex] = z-score

σ = The standard deviation

n = The sample size

Therefore, the margin error can be reduced by the following two ways;

1) Reducing the confidence interval and therefore, the z-score

2) Increasing the sample size

Answer:

Zero

Step-by-step explanation:

a=0

So a is neither positive nor negative, its zero.

Please mark brainliest to get your points back!

Answer:

f(x) = x

Step-by-step explanation:

Answer:

x is mL of 25% acid and y is mL of 50% acid

We set up 2 equations:

A) x + y = 250

B) .25 x + .50y = .35 * 250 which equals

B) .25x + .50y = 87.50  Multiplying A) by -.5

A) -.5x -.5y = -125  adding the equations we get

-.25x = -37.50

x = 150 mL

y = 100 mL

Source:  http://www.1728.org/mixture.htm

Step-by-step explanation:

Answer:

x is mL of 25% acid and y is mL of 50% acid

Step-by-step explanation:

Answer:

You do need to be more specific, the volume of a sphere is V = 4/3 π r^3, it does not need to be related to a cylinder. So if you know the radius, you can calculate the volume. The volume of a cylinder with the same radius and with a height of 2r (since it would be the diameter across) would be V = π r^2 h = 2π r^3.

Step-by-step explanation:

it should be 140 if not I'm srry

Answer:

D

Step-by-step explanation:

if you look at the first, second, and third it makes a crooked line. Linear equations MUST have a straight line, or it is not a linear function.

Answer

5 x (f + 9g)

Step-by-step explanation:

I can add my step by step if u want

Answer:

-55

Step-by-step explanation:

got it right on edge

1.92 divided 3 is 0.64

Answer = 0.64

Hope this helps!

Stay safe!

Answer:

8350.92 = Surface area

Step-by-step explanation:

Use formulas

Length times width for the base

Base times height / 2 for the Triangles

Add them all up and you've got your answer

Answer: 120 Packages

Step-by-step explanation:

Given

75 random packages are check

3 package is found faulty

So, the percentage of error is

[tex]\Rightarrow \dfrac{3}{75}\times 100=4\%[/tex]

i.e. 4% packages is faulty

For 3000 sample, expected faulty packages are

[tex]\Rightarrow 3000\times \dfrac{4}{100}=120\ \text{Packages}[/tex]

Answer:

true i think....

Step-by-step explanation:

like terms have the same variables  but don't need to have the same coefficients.

In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers.

Answer:

17.25 lbs

Step-by-step explanation:

6 x 2 3/8

Answer:

The perimeter of the larger folder is 40 in

Step-by-step explanation:

This is because it says the two folders are similar this means that the width of the larger folder is 8 inches because the scale factor is 4/3. You can see this when you divide the length of the larger folder by the length of the smaller folder. So, if you solve 8+12+8+12 to find the perimeter you will get 40 inches

Answer:

48 units

b= 48 units

Step-by-step explanation:

pythag is [tex]a^2+b^2=c^2[/tex]

we have a and c

so substitute them in

[tex]14^2+b^2=50^2[/tex]

now you can solve

[tex]196+b^2=2500[/tex]

subtract 196 from both sides

[tex]b^2=2500-196[/tex]

subtract

2500 - 196 = 2304

[tex]b^2=2304[/tex]

solve for the square root

square root of 2304= 48

therefore b= 48 units

Answer:

$32.3

Step-by-step explanation:

First write 30% in the decimal form

30/100 = 0.3

than the equation written in the form

x = 19 + (19 - 0.3× 19)

x = 19 + ( 19 - 5.7)

x = 19 + 13.3

x =$ 32.3

So, Kate will pay $32.3

Answer:

ler we have a point (x, y) and,

in molar form°

Z = √(x² + y² ) and 0 = tan-¹(y/x).

Since the point (2√3, -2) is in the fourth quadrant, make certain that your angle is also in the fourth quadrant.

Answer:

1) Parellel because if she had sliced perpendicular, she would have gotten a square and a triangle.

2) Perpendicular because if she had sliced parallel, she would have gotten a (once more) square and a triangle.

1) First shape and Last shape (the cylinder and the cone).

2) First shape and Second shape (the pyramid and the cone).

1) This would be a cone - I included a picture of it.

2) This would be a triangular pyramid - I included a picture of it.

Answer:

The person above me is right

Step-by-step explanation:

Answer:

i think its b

Step-by-step explanation:

Hope it helps have a great day :)

Answer:

21 3/5

Step-by-step explanation:

I think the answer is 21 3/5 because

6×3 3/5=21 3/5 but I'm not positive.

Answer:

9442 lb

Step-by-step explanation:

First find the volume of the tank.  This being a sphere, the volume is V =(4/3)π·r³.  Here the diameter is 17 ft, so the radius, r, is half that:  8.5 ft.

Then the volume of the sphere is V = (4/3)π·(8.5 ft)³, and half that (the volume of the hemisphere) is (2/3)π·72.25 ft³.

Water weighs 62.4 lb/ft³.  To find the weight of the water in the full tank, multiply the tank volume by this weight density 62.4 lb/ft³:

×

(2/3)π·72.25 ft³ · 62.4 lb/ft³ ≈ 9442 lb

Answer:

The person above is correct B)y=2(x+7/2)²+1/2

Step-by-step explanation:

y = 2 (x + seven-halves) squared plus one-fourth equation is y = (x + 3)² + (x + 4)² rewritten in vertex form.

If the vertex is (a, b), then the vertex form of an equation can be written as y = p(x-a)² + b, p is a constant.

Here, y = (x + 3)² + (x + 4)²

i.e. y = x² + 6x + 9 + x² + 8x + 16

i.e. y = 2x² + 14x + 25

i.e. y = 2x² + 2*2*(7/2)x + (7/2)² - (7/2)² + 25

i.e. y = 2(x + 7/2)² + 25/2 - 49/4

i.e. y = 2(x + 7/2)² + (50 - 49)/4

i.e. y = 2(x + 7/2)² + 1/4

Therefore, y = 2 (x + seven-halves) squared plus one-fourth equation is y = (x + 3)² + (x + 4)² rewritten in vertex form.

So, no option is correct.

Learn more about vertex form here -

https://brainly.com/question/27614899

#SPJ2

Answer:

10,000 mm

Hope that helps!

Step-by-step explanation:

Answer:

10000 mm

Step-by-step explanation:

1m = 1000mm

10 x 1000 = 10000mm

Answer:

x=9

Step-by-step explanation:

9*9=81*10=810 so x=9

Answer:

The figure is a Rhombus.

Step-by-step explanation:

Cause well it looks like a Diamond pretty much. Hope this helps.

Answer:

Parallelogram.

Step-by-step explanation:

This is a rhombus but all rhombus's are considered parallelograms.

Hope this helps!

Answer:

B

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

4 parts broken into 4 parts

Answer:

b

Step-by-step explanation:

since you are dividing by four, the graph must show 1/4 in for divisions.