A teacher surveyed her class to find out how many texts the students send in a week. She created this box plot to show the data.

What is the value of the upper quartile?
85
150
130
65

Answer:

C.

Step-by-step explanation:

a) The equation of graph of the transformation of function is given by the relation d ( x ) = p ( x - 2 ) + 3

b) The sequence of transformation is translate 1 to the left, scale vertically by 1/2 , then reflect over the x-axis.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the function be represented as p ( x )

Now , the value of p ( x ) is

d ( x ) = p ( x - 2 ) + 3

The function is shifted 2 units to the right and 3 units up do match all the data points on the graph

b)

Let the parent function be y = k ( x )

Let the transformed function be y = -( 1/2 ) k ( x + 1 )

So , the series of transformation is given by

Translating 1 unit to the left , scale vertically by 1/2 , then reflect over the x-axis.

Hence , the transformed function is y = -( 1/2 ) k ( x + 1 )

To learn more about transformation of functions click :

https://brainly.com/question/26896273

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Answer:

20 cyclists

Step-by-step explanation:

In 2007 only two bikes are there which mean only 20 cyclists participated and that is the least amount out of all years

Answer:

if each bicycle is ten go by multipls of 10

it's in 2007

and of you count by 10 that's 20

Answer:

D ; 15 cm

Step-by-step explanation:

The graph which matches the distribution of the data is D. This can be known by visually pairing Kristen's data on the y-axis to Eddie's data on the x - axis.

The Numbe rof centimeters Kristen has left to knit when Eddie has 13 cm is about 15 cm. This can be obtained by tracing the poi t 12 upward and tracing its intersection with the best fit line to the y-axis.

Answer:

D ; 15 cm

Step-by-step explanation:

The graph which matches the distribution of the data is D. This can be known by visually pairing Kristen's data on the y-axis to Eddie's data on the x - axis.

The Numbe of centimeters Kristen has left to knit when Eddie has 13 cm is about 15 cm. This can be obtained by tracing the poi t 12 upward and tracing its intersection with the best fit line to the y-axis.

Answer:

42cm

Step-by-step explanation:

Answer:

[tex]10 \times 5 = 50 \\ because \: a there \: are \: three \: of \: them \: we \: need \: to \: = \\ 50 \times 3 = 150 \\ for \: triangles = \\ 4 \times 5 \div 2 = 20 \div 2 = 10 \\ as \: far \: as \: we \: have \: two \: triangles = \\ 10 \times 2 = 20 \\ 20 + 150 = 170 \\ the \: surface = 170[/tex]

Answer:

20x+4

Step-by-step explanation:

4×5x=20x (Because 4×5 is 20 and just ignore the "x" for now)

4×1=4

Answer:

perimeter = 32-4y

Step-by-step explanation:

perimeter = 2(length +width)

Answer:

Segment

Step-by-step explanation:

Its only part of the line.

Answer:

The answer is ray

Step-by-step explanation:

Answer:

$1800

Step-by-step explanation:

9514 1404 393

Answer:

  $2850

Step-by-step explanation:

The basic idea is that each line of the table is use for that portion of the income that falls in the range for that line of the table. Then the tax amounts are added together.

Another way to do it is to rewrite the table to use the full tax rate on the full income, then subtract a "discount" applicable to that line. Using that method in the attached spreadsheet, we have computed the tax to be $2850 on income of $60,000.

Answer:

Column 1(X)      Column 2(mean - X)

  125                   -13

  137                     -1

  138                     0

  145                     7

  145                     7

Mean = 138

Mean Absolute Deviation : 5.6

Answer:

for all the lazy readers on top the answer is.. B. 5.6:)

Step-by-step explanation:

Answer:

8.2

Step-by-step explanation:

a^2+b^2=c^2

7.6*7.6=57.76

3.2*3.2=10.24

57.76+10.24=68

square root of 68= 8.2

Answer: 7

Step-by-step explanation:

Since we are given the information that a group of friends had 28 driveways to shovel and that one of them shoveled 1/4 of the driveways.

The number of driveways that he shovel will be:

= 1/4 × 28

= 7

Therefore, he shovel 7 driveways.

Answer:

The answer is the first option just cause i checked on calculator and boith equaled the same thing 3072

Step-by-step explanation:

Answer:

a. At the 0.05 level of significance,  there is evidence that the mean life is different from 6,500 hours.

b. The p value= ≈ 0.00480 for z- test which is less than 0.05 and H0 is rejected .

The p value= 0.006913 for t- test which is less than 0.05 and H0 is rejected for 49 degrees of freedom.

c. CI [6583.336 ,6816.336]

d.  The range of CI [6583.336 ,6816.336] tells that the cfls having a different mean life lie in this range.

Step-by-step explanation:

Population mean = u= 6500 hours.

Population standard deviation = σ=500 hours.

Sample size =n= 50

Sample mean =x`=  6,700 hours

Sample standard deviation=s=  600 hours.

Critical values, where P(Z > Z) =∝ and P(t >) =∝

Z(0.10)=1.282  

Z(0.05)=1.645  

Z(0.025)=1.960  

t(0.01)(49)= 1.299

t(0.05)= 1.677  

t(0.025,49)=2.010

Let the null and alternate hypotheses be

H0: u = 6500 against the claim Ha: u ≠ 6500

Applying Z test

Z= x`- u/ s/√n

z= 6700-6500/500/√50

Z= 200/70.7113

z= 2.82=2.82

Applying  t test

t= x`- u /s/√n

t= 6700-6500/600/√50

t= 2.82

a. At the 0.05 level of significance,  there is evidence that the mean life is different from 6,500 hours.

Yes we reject H0  for z- test as it falls in the critical region,at the 0.05 level of significance, z=2.82 > z∝=1.645

For t test  we reject H0   as it falls in the critical region,at the 0.05 level of significance, t=2.82 > t∝=1.677 with n-1 = 50-1 = 49 degrees of freedom.

b. The p value= ≈ 0.00480 for z- test which is less than 0.05 and H0 is rejected .

The p value= 0.006913 for t- test which is less than 0.05 and H0 is rejected for 49 degrees of freedom.

c. The 95 % confidence interval of the population mean life is estimated by

x` ±  z∝/2  (σ/√n )

6700± 1.645 (500/√50)

6700±116.336

6583.336 ,6816.336

d. The range of CI [6583.336 ,6816.336] tells that the cfls having a different mean life lie in this range.

=========================================================

Explanation:

There are 7 dimes and 3 pennies, leading to 7+3 = 10 coins total.

The probability of not picking a penny is 7/10. If the first coin is put back, then the probability doesn't change for the second selection.

The probability of getting two dimes is (7/10)*(7/10) = 49/100 when the first coin is replaced.

If the first coin is not replaced, then the answer would be (7/10)*(6/9) = 42/90 = 7/15

Answer:

It depends on how much effort that you put in preparing and working on sample questions to write this exam. It takes continual time and dedication and cannot be hoped to be achieved/aced within a few hours.

Answer:

12

Step-by-step explanation:

1:3 multiply them by 4 for 4 juice cans

Answer:

The answer would be A, 12.

Step-by-step explanation:

The ratio of juice to water is 1:3. 1 being the amount of juice, and 3 being the amount of water. If Maria used 4 cans of juice, that makes the new ratio 4:w. W can stand for the amount of water. 1x4=4 so we can multiply 3x4=12.

Mark brainliest please! :)

Answer:

x = {-1/5, 1}

Step-by-step explanation:

(5x - 2)² - 1 = 8

Add 1 to both sides

(5x - 2)² = 9

Take the square root of both sides

5x - 2 = ±3

------------------------------

Solution I for 5x - 2 = +3

5x - 2 = 3

add 2 to both sides

5x = 5

Divide both sides by 5

x = 1

------------------------------

Solution II for 5x - 2 = -3

5x - 2 = -3

add 2 to both sides

5x = -1

Divide both sides by 5

x = -1/5

-------------------------------

x = {-1/5, 1}

Answer:

Therefore, 512/128 simplified to lowest terms is 4/1.

Step-by-step explanation:

Reduce 512/128 to lowest terms

The simplest form of  

512

128

is  

4

1

.

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 512 and 128 is 128

Divide both the numerator and denominator by the GCD

512 ÷ 128

128 ÷ 128

Reduced fraction:  

4

1

Therefore, 512/128 simplified to lowest terms is 4/1.

Answer:

0 because it's purified water :)

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

answer is right there, you only asked for a number.

answer:

2. 10 km

4. 20 km

step-by-step explanation:

2 — 5 X 2 = 10 km

4 — 10 X 2 = 20 km

Answer:

21

Step-by-step explanation:

Add 5.3 + 1.7 and you get 7 (7 is the base of the triangle). Multiply 7 by the height (6) and you get 42. When you put 2 triangles together, it will create a quadrilateral. "Cut the quadrilateral in half" and you will get your triangle's area. The area is 21 :)

Answer:

53.9 square units was my answer, but I learned that it was 21 !

I'd say 13, hope this helps

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

Required

Complete the term and identify the rule

[tex](a)\ 5, 6, 8, [], 15[/tex]

We have:

[tex]5 + 1 = 6[/tex]

[tex]6 + 2 = 8[/tex]

[tex]8 + 3 = 11[/tex] --- Missing term

[tex]11 + 4 = 15[/tex]

The rule is:

Add current term to the position of term

i.e.

[tex]T_{n+1} = T_n + n[/tex]

[tex](b)\ 18, 20, 24, [], 38[/tex]

We have:

[tex]18 + 2*1 = 20[/tex]

[tex]20 + 2*2 = 24[/tex]

[tex]24 + 2 * 3 = 30[/tex] --- Missing term

[tex]30 + 2 * 4 = 38[/tex]

The rule is:

Add current term to twice the position of term

i.e.

[tex]T_{n+1} = T_n + 2 *n[/tex]

[tex](3)\ 14, 17, 20, 23, [][/tex]

We have:

[tex]14 + 3 = 17[/tex]

[tex]17 + 3 =20[/tex]

[tex]20 + 3 = 23[/tex]

[tex]23 + 3 = 26[/tex] --- Missing term

The rule is: Add 3

i.e.

[tex]T_{n+1} = T_n + 3[/tex]

[tex](4)\ 24, 30, 36, 42, [][/tex]

We have:

[tex]24 + 6 = 30[/tex]

[tex]30 + 6 = 36[/tex]

[tex]36 + 6 = 42[/tex]

[tex]42 + 6 = 48[/tex] --- Missing term

The rule is: Add 6

i.e.

[tex]T_{n+1} = T_n + 6[/tex]

[tex](5)\ 1, 10, 100[/tex]

We have:

[tex]10^0 = 1[/tex]

[tex]10^1 = 10[/tex]

[tex]10^2 = 100[/tex]

[tex]10^3 = 1000[/tex] -- Missing term

The rule is: 10 to the power of current position

i.e. [tex]T_n = 10^n[/tex]

Answer:

8 1/2

Step-by-step explanation:

Answer:

Y ≈ 54.998°

Step-by-step explanation:

Cos Y = .5736

=> Y = [tex]cos^{-1}[/tex](.5736)

=> Y ≈ 54.998

Answer:

24

Step-by-step explanation:

We are given a leg and the hypotenuse, and we can put what we have into the pythagorean theorem formula:

a^2 + b^2 = c^2

7^2 + b^2 = 25^2

49 + b^2 = 625

b^2 = 576

b = 24

Answer:

A is the answer

Step-by-step explanation:

ΔABC has the following angle measures:

∡A:  87°  (reason: given)

∡B:  23°   (reason: given)

∡C:  70°  (reason: sum of all interior angles in a triangle is 180)