Slope=4,passing through (7,4)

Answer:

84.9 cm³

Step-by-step explanation:

Height of the bigger Cylinder = 5 cm

Volume of the bigger Cylinder = 393 cm³

Height of the smaller cylinder = 3 cm

Volume of the smaller cylinder = x cm³

Since they are similar, therefore: the cube of their ratio would equal the ratio of their volume.

Thus:

[tex] (\frac{5}{3})^3 = \frac{393}{x} [/tex]

[tex] \frac{125}{27} = \frac{393}{x} [/tex]

Cross multiply

[tex] 125*x = 393*27 [/tex]

[tex] 125x = 10,611 [/tex]

Divide both sides by 125

[tex] \frac{125x}{125} = \frac{10,611}{125} [/tex]

[tex] x = 84.888 [/tex]

Volume of the smaller cylinder = 84.9 cm³ (to nearest tenth?

Answer:

The mid-point of AB is (5,6)

Step-by-step explanation:

The mid-point of two points lies between the middle of two points or divides the line in two equal parts.

The formula for finding mid-point, M, is:

[tex]M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Here (x1,y1) are the coordinates of first point and (x2,y2) are coordinates of second point.

Given

(2, 3) and (8,9)

Putting the values in the formula

[tex]M(x,y) =(\frac{2+8}{2} , \frac{3+9}{2})\\M = (\frac{10}{2}, \frac{12}{2})\\M = (5,6)[/tex]

Hence,

The mid-point of AB is (5,6)

Answer:

It's A

Step-by-step explanation:

Answer:x=cost per pound of meat

Y=Cost per pound of cheese

The deli charges 4.50 for a pound of meat

Step-by-step explanation:

Answer:

The variable x represents the

✔ cost per pound of meat

.

The variable y represents the

✔ cost per pound of cheese

.

The deli charges $

✔ 4.50 for a pound of meat

.

Step-by-step explanation:

Answer:

(a) What percent of all field goal attempts did Seth Fitzgerald make? (Enter your answers rounded to two decimal places.)

Seth Fitzgerald's overall field goal percentage:__59.69%_____

What percent of all field goal attempts did Roberto Mantovani make? (Enter your answers rounded to two decimal places.)

Roberto Mantovani's overall field goal percentage: ______40.31%________.

(b) Find the percent of all two-point field goals and all three-point field goals that both Seth and Roberto made. (Enter your answers rounded to two decimal places.)

Seth Fitzgerald's two-pointers: _____58.57%_________%

Roberto Mantovani's two-pointers:_____41.43%______ %

Seth Fitzgerald's three-pointers:_____64.58%_______

Roberto Mantovani's three-pointers:_____35.42%_____

(c) Roberto had a lower percent than Seth for both types of field goals, but had a better overall percent. That sounds impossible, select the correct statement concerning the situation.

i) This is an example of Simpson's paradox. The comparison that holds for both field goal groups is reversed when the groups are combined into one group

Step-by-step explanation:

a) Data and Calculations:

Benedict College 2014-2020 men's basketball team:

                               Seth Fitzgerald   Roberto Mantovani        Total

                               Made  Missed        Made   Missed       Made    Missed

Two-pointers          123         118              87           84           210        205

Three-pointers         31            6              17              2            48             8

Total                       154         124           104            86          258        210

a) All field goal attempts = 258 (154 + 104)

Field goal attempts by Seth Fitzgerald = 154/258 * 100 = 59.69%

Goal 154 - 124 = 30/258 * 100 = 11.63%

Roberto Mantovani = 104/258*100 = 40.31%

Goal 104 - 86 = 18/258 *100 = 6.98%

Percent of all two-point field goals and all three-point field goals that both Seth and Roberto made:

Goals by both = 48 (30 + 18) = 48/258*100 = 18.61 (11.63 + 6.98)

Seth Fitzgerald's two-pointers = 123/210*100 = 58.57%

Roberto Mantovani's two-pointers = 87/210*100 = 41.43%

Seth Fitzgerald's three-pointers = 31/48*100 = 64.58%

Roberto Mantovani's three-pointers = 17/48*100 = 35.42%

b) Simpson's paradox, also called Yule-Simpson effect, says that when we combine all of the groups together (e.g. two-pointer and three-pointer games played by Seth and Roberto respectively) and look at the data in total form, the correlation that we noticed before may reverse itself.  The cause of this reversion is lurking variables or numerical values of the data.

Answer:

0.05

Step-by-step explanation:

Slope is the vertical drop or rise to the horizontal distance;

   Slope  = [tex]\frac{vertical interval}{horizontal distance}[/tex]  

 Let us convert 4 miles to feet;

         1 mile  = 5280ft

        4 miles  = 4 x 5280 = 21120ft

Slope  = [tex]\frac{1950 - 1000}{21120}[/tex]   = 0.05

The slope is 0.05

Answer:

A.) - 0.2992

B.) Q1 = 36.75

Q2 = 38.45

Q3 = 41

C.) IQR = 4.25

D.) LOWER FENCE = 30.375

UPPER FENCE = 47.375

Yes, 49.3

Step-by-step explanation:

Given the data:

Arranged data in ascending order :

31.5, 34.2, 34.7, 35.6, 36.0, 36.2, 37.3, 37.6, 37.8, 38.1, 38.2, 38.4, 38.5, 38.7, 39.5, 39.6, 40.1, 40.6, 41.4, 41.7, 42.2, 42.5, 43.4, 49.3

Using calculator to save computation time :

Population mean (μ) = 38.88

Standard deviation (s) = 3.61

A.) The zscore for individual who obtained 37.8 miles per gallon :

Standardized score formula :

Z = (Score(x) - mean) / standard deviation

Z = (37.8 - 38.88) / 3.61

Z = - 1.08 / 3.61

Z = - 0.29916

Z = - 0.2992

B) The quartile ;

Lower quartile (Q1) :

1/4(n +1)th term

n = sample size = 24

1/4(24 + 1)

= 1/4(25) = 6.25th term

(6th + 7th) =(36.2 + 37.3) = 73.5/2 = 36.75

Upper quartile (Q3) :

3/4(24 +1) = 3/4(25) = 18.75th term

(18th + 19th) = (40.6 + 41.4) = 82/2 = 41

Median (Q2) :

1/2(24 +1) = 1/2(25) = 12.50th term

(12th + 13th) = (38.4 + 38.5) = 76.9/2 = 38.45

C.) interquartile range :

Q3 - Q1 = (41 - 36.75) = 4.25

D.) OUTLIER

LOWER : Q1 - 1.5(IQR) = 36.75 - 1.5(4.25) = 30.375 ; values less than 30.375

UPPER : Q3 + 1.5(IQR) = 41 + 1.5(4.25) = 47.375 ; values greater than. 47.375

Answer:

aaaaaaaaaaaaaa2rdfdggggdfgdgv

Step-by-step explanation:

Answer:

Linear graph

y = 3x + 21

Step-by-step explanation:

Answer:

120 magazines

Step-by-step explanation:

1.15x = 138

x = 120 magazines before increase

Check:

before increase + increase = sold

120 + 120(.15) = 138

120 + 18 = 138

138 = 138

Answer:

We know that 3/4=0.75.When expressed as decimal fraction it is 75/100

Answer:

11.98

Step-by-step explanation:

Answer:

the green one for sure..

Step-by-step explanation:

Answer:

10 sorry if i'm wrong

Step-by-step explanation:

Answer:

8 divided by 6/7. I will give you the answer in fraction form and in decimal form. 56/6 can be simplified to 28/3. 28/3 is an improper fraction and should be written as 9 1/3.

Step-by-step explanation:

You add 3+5 together and then divide. After that you simplify your answer

Hope this helped, Have a Great Day!!

Answer:

slope =

Step-by-step explanation:

Answer:

288

Step-by-step explanation:

4*7=24

24*12=288

how Is this not 20 characters

Answer:

8x + 7

Step-by-step explanation:

combine the like terms

Answer:

8x+7

Step-by-step explanation:

5x+3x=8x

2+5=7

ihope answer helps u

Answer:

The discount price is $27.50

The sale price of item is $82.49

Step-by-step explanation:

Regular price of item = $109.99

Discount = 25%

We need to find discount and the sale price to the nearest cent.

Finding Discount Price

First we need to find 25% of 109.99 which is the discount price

[tex]25\% \ of \ 109.99\\=\frac{25}{100}*109.99\\=27.50[/tex]

The discount price is $27.50

Now, finding Sale price

Sale Price= Regular Price - Discount Price

Sale Price= 109.99 - 27.50

Sale Price = 82.49

The sale price of item is $82.49

Answer:

4 bottles

Step-by-step

3 is 1/3 of 9 and 12/3 is 4 bottles

Answer:

“Be strong and courageous. Do not fear or be in dread of them, for it is the LORD your God who goes with you. He will not leave you or forsake you.” [Deuteronomy 31:6]

Step-by-step explanation:

Answer:

The first one would be -4 and the second one would be 0

Step-by-step explanation:

look at where they cross the y line

Answer:

1.41

Step-by-step explanation:

Given the table :

X : _____0 ___ 1 ____ 2 ____ 3 ____ 4 ____5 P(X= x)_ 11/48_7/24_ 3/16____1/6___ 1/12 __1/24

The standard deviation = √var(x)

The Variance : Var(X) = (Σx²*p(x)) - μ²

μ = E(X) = Σ(X * p(x)) :

Σ(X * p(x)) = (0*(11/48))+(1*(7/24))+(2*(3/16))+(3*(1/6))+(4*(1/12))+(5*(1/24))

μ = 1.70833333

Var(X): [(0^2*(11/48))+(1^2*(7/24))+(2^2*(3/16))+(3^2*(1/6))+(4^2*(1/12))+(5^2*(1/24))] - 1.70833333^2

= 4.9166667 - 2.9184027663889

Std (x) = √1.9982639336111

Std (x) = 1.4135996

Std (x) = 1.41

Answer:

The Standard deviation of the random variable is 1.414.

Step-by-step explanation:

We Know,

Standard deviation= [tex]\sqrt{variance}[/tex]

Variance is given by:

[tex]Var(X)=E(X^{2} )-E(X)^{2}\\[/tex]

Given,

[tex]x = 0\ 1\ 2\ 3\ 4\ 5\\P(X=x)= \frac{11}{48} \ \frac{7}{24} \ \frac{3}{16}\ \frac{1}{6}\ \frac{1}{12}\ \frac{1}{24} \\[/tex]

[tex]E(X)=[/tex]∑ [tex]x*P(X)[/tex]

[tex]E(X) = 0+ 1*\frac{7}{24} + 2*\frac{3}{16} + 3*\frac{1}{6} + 4*\frac{1}{12} + 5*\frac{1}{24}\\= 1.7083[/tex]

[tex]E(X^{2} ) =[/tex][tex]0+ 1^{2} *\frac{7}{24} + 2^{2} *\frac{3}{16} + 3^{2} *\frac{1}{6} + 4^{2} *\frac{1}{12} + 5^{2} *\frac{1}{24}[/tex]

[tex]= 4.9167[/tex]

So,

[tex]Var(X)= 4.9167- 1.7083^{2}[/tex]

[tex]= 1.99841\\\\Hence, Standard Deviation= \sqrt{1.99841} \\\\ Standard Deviation= 1.413( (upto 3 decimals)[/tex]

Learn more: https://brainly.com/question/14668395

Answer:

43

Step-by-step explanation:

The formula for Margin of Error =

Margin of Error = z × standard deviation/√n

Margin of Error= ± 6

z = z score of 95% Confidence Interval is 1.96

s = 20

n = sample size

±6 = 1.96 × 20/√n

Cross Multiply

±6 × √n = 1.96 × 20

±6 × √n = 39.2

Divide both sides by ±7

√n = 39.2/±6

√n = 6.5333333333

Square both sides

n = 6.5333333333²

n= 42.684444444

Rounding up to the nearest integer = 43

Answer:

b) 0.0228

Step-by-step explanation:

We use the z score formula when given random number of samples =

z = (x-μ)/σ/√n where

x is the raw score = $3.5 million

μ is the population mean = $3.26 million

σ is the population standard deviation = $ 1.2 million

n = random number samples = 100

Hence,

z = 3.5 - 32.6/1.2/√100

z = 3.5 - 32.6/1.2/10

z = 3.5 - 3.26/0.12

z =2

Probability value from Z-Table:

P(x<3.5) = 0.97725

P(x>3.5) = 1 - P(x<3.5)

P(x>3.5) = 1 - 0.97725

P(x > 3.5) = 0.02275

Approximately ≈ 0.02278

The approximate probability that the mean salary of the 100 players exceeded $3.5 million is 0.02278

5.2 inches 13.12 cm

50m

42.195 kilometers

Answer:

P=8T/V

Step-by-step explanation:

V=8T/P

PV=8T

P=8T/V