The stem-and-leaf display below gives the fuel efficiencies (in miles per gallon) for a sample of new cars. Use the display to answer the questions that follow.
Fuel efficiency (miles per gallon)
1 3
2 3 9
3 1 1 6 7
4 3 4 5 6
5 1 3 3 8
Key: 1/3 means a fuel efficiency of 13 miles per gallon.
A) What is the lowest fuel efficiency in the 30 0s?
B) What is the lowest fuel efficiency in the sample overall?
C) How many cars in the sample have fuel efficiencies in the 40s?

Answers

Answer 1

Answer:31

Step-by-step explanation:

59=64

Answer 2

(a) The lowest fuel efficiency in 30's is 31

(b) The lowest fuel efficiency in the overall sample is 13

(c) There are 4 cars in the sample that have fuel efficiencies in 40's

Given :

Stem and leaf display of data

Fuel efficiency (miles per gallon)

1    3

2    3 9

3    1 1 6 7

4    3 4 5 6

5    1 3 3 8

Explanation :

(A) We need to find the lowest fuel efficiency in 30's

So we look at the data's in third row

It shows the fuel efficiency of 31,31,36,37 miles per gallon

The lowest fuel efficiency in 30's is 31

(B) Lets write the fuel efficiency from the given table

13, 23, 29, 31,31,36, 37, 43, 44, 45, 46, 51, 53, 53, 58

The lowest fuel efficiency in the overall sample is 13

(C) Lets write the fuel efficiency of 40's

43, 44, 45, 46

So, there are 4 cars in the sample that have fuel efficiencies in 40's

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Related Questions

A water tank has a square base with each side of length 4 meters. Water enters through a hose at a constant rate of 20 liters per minute. At the same time a valve in the bottom is opening, so that after t minutes, water leaves at a rate of t liters per minute. If the tank starts out filled to a depth of 2 meters, after how many minutes will the tank be empty

Answers

Answer:

378.33 minutes

Step-by-step explanation:

From the question, we're told that

Length of the side of the square, l = 4 m

Then the current volume of water = (4 m)³ = 64 m³3 = 64,000 Liters

64,000 + [∫(20 - t) dt from 0 to t] = 0, solving the integral, we have

20t - (t^2)/2 = -64,000, multiplying all by 2 so as to eliminate the fraction

40t - t^2 + 128,000 = 0

t^2 - 40t - 128,000 = 0, on solving the quadratic equation(using general formula), we find that

t = 378.33 minutes

HELP HELP HELP HELP PLEASE PLEASE !!!!!

Answers

Answer:

Correct answer would be 84/12=7

Step-by-step explanation:

Reason being , Its asking the "product" Of Julies score (7)

If you divide 84 /7 it will be =12

since its already giving you what its equal you would flip it and it would be 84/12

How many phone numbers (without area codes) are possible? The first digit cannot be 0 or 1.

Answers

Answer:

Step-by-step explanation:

For the first digit, there are 8 numbers to choose from (2, 3, ..., 9).

For each remaining digits, there are 10 numbers to choose from (0, 1, ..., 9).

Choose 6 of them. Repetition is allowed, and order matters.

There are 10⁶ possible choices.

There are 8×10⁶ possible phone numbers.

f(x)=-x^(2)-2x-5 , -5

Answers

Step-by-step explanation:

Needs more detail unable to answer

12 POINTS PLEASE HELP

Answers

Answer:

y = 10

m<C = 40

m<D = 76

Step-by-step explanation:

(7y + 6) + 4y = 116

11y + 6 = 116

y = 10

plug in y into the equations to get the angle

m<C = 40

m<D = 76

please help me simplify this -1/9 (9-27a)=?

Answers

Answer:

Step-by-step explanation:

PLEASE HELP
I WILL GIVE BRAINLIST

Answers

Answer:

64

Step-by-step explanation:

cut triangle on right then on left you have 4x4 and then for right you have 2x2 then multiply them together and get 64

Match each simplified form to it's equivalent radical expression. Tiles: 4√3, 3 3√2, 2 3√3, 3√5

Pairs

3√24

√48

3√54

√45

Answers

Answer:

Step-by-step explanation:

Given the following simplified expressions:

4√3, 3 3√2, 2 3√3, 3√5

It's radical equivalent is :

4√3 = √4² * √3 = √16 * √3 = √16*3 = √48

3 3√2 = 3 * √3² * √2 = √9 * √2 = √9*2 = 3√18

2 3√3 = 2 * √3² * √3 = √9 * √3 = √9*3 = 2√27

3√5 = √3² * √5 = √9 * √5 = √9*5 = √45

Answer:

answer attached

Step-by-step explanation:

hope this helps!

which answer is equivalent to √ 25/√ 49​

Answers

Exact Form:

5/7

Decimal Form:

0.7142

Jason used 0.5 cups or kernels to make 16 cups of popcorn. How many cups of popcorn would he make if he used 0.75 cups of kernels?

Please explain answer

Answers

Answer:

24 cups of popcorn

Step-by-step explanation:

Let x represent the number of cups of popcorn that can be made from 0.75 cups of kernels. We know that 0.5 cups of kernels is used to make 16 cups of popcorn. Therefore, to calculate the number of cups of popcorn that can be made from 0.75 cups of kernels we use the equation:

x / 0.75 cups of kernels = 16 cups of popcorn / 0.5 cups of kernels

multiplying through by 0.75 cups of kernels gives:

(x / 0.75 cups of kernels) * 0.75 cups of kernels = (16 cups of popcorn / 0.5 cups of popcorn) * 0.75 cups of kernels

x = 24 cups of popcorn

Can you solve it. Pls pls

Answers

Answer:

C

Step-by-step explanation:

Don't know how to explain..

Answer is C hoped it helped :)

One teacher wants to give each student 13/8 slices of pizza. If the
teacher has 22 slices of pizza, then how many students will she be able to
hand out pizza to?
HELP

Answers

i think its 13.5 jdjdiwiw

Answer:

I think it's 18 students

Step-by-step explanation:

I used division. Hope this helps

Please help!!! 10 points for it!!

Answers

Answer:

Step-by-step explanation:

x = 180 - ((180-96)+(180-130))

x = 180 - (84+50)

x = 46°

Answer:

x = 46 degrees

Step-by-step explanation:

180 - 130 = 50

180 - 96 =  84

50 + 84 = 134

180 - 134 = 46

Giovanni started a new job and decided to open a bank account with $10. Each week he will deposit $8 from his pay to the account. Which of the following recursive formulas can be used to model the total amount of money in Giovanni's account?

Answers

Answer:

an=an−1+10, where a1=8

Step-by-step explanation:

it is

Answer:

an=an−1+10 , where a1=8

Step-by-step explanation:

I just took the test and I got it right!! :)

Today, Thurber studies math for 15 minutes and he studies science for 75 minutes. From now on, Thurber plans to study math for 50 minutes per day and to study science for 30 minutes per day. Will Thurber ever have studied the same total amount of time for both math and science? Explain. Use the drop-down menus to complete the sentence. days from today, Thurber will have studied of math and minutes of science.

Answers

Answer:

3 days

Step-by-step explanation:

Given that :

Today :

Study time for math = 15 minutes

Study time for science = 75 minutes

Subsequent days :

Study time for math = 50 minutes

Study time for science = 30 minutes

Let the number of days when study time for math and science will be the same = x

15 + 50x = 75 + 30x

50x - 30x = 75 - 15

20x = 60

x = 60 / 20

x = 3

3 days

f(n)=n^2-4;find (-1)

Answers

Answer:

-5

Step-by-step explanation:

f(-1) = -1^2 - 4

f(-1) = -1 - 4

f(-1) = -5

Which fraction is equal to 35%?
O A.
100
350
O B.
100
35
C.
3.5
100
D.
35
100

Answers

Answer: D 35/100

Step-by-step explanation: if you divide 35/100, the answer would be .35, which is the decimal form of 35%.

The answer is d I think

On the package for a certain brand of spinach seeds there is a guarantee that, if the printed instructions are followed, of planted seeds will germinate. A random sample of seeds is chosen. If these seeds are planted according to the instructions, find the probability that of them germinate.

Answers

The question is incomplete. Here is the complete question.

On the package for a certain brand of spinach seeds there is a guarantee that, if the printed instructions are followed, 63% of planted seeds will germinate. A random sample of 9 seeds is chosen. If these seeds are planted according to the instructions, find the probability that 4 or 5 of them germinate. Do not round your intermiediate computations, and round your answer to three decimal places.

Answer: P(4<X<5) = 0.624

Step-by-step explanation: The probability of a seed germinate is a Binomial Distribution, i.e., a discrete probability distribution of the number of successes in a sequence of n independents experiments.

This distribution can be approximated to normal distribution by determining the values of mean and standard deviation population:

[tex]\mu=np[/tex]

[tex]\sigma=\sqrt{np(1-p)}[/tex]

where

n is the sample quantity

p is proportion of successes

For the spinach seeds:

Mean is

[tex]\mu=9(0.65)[/tex]

[tex]\mu=[/tex] 5.85

Standard deviation is

[tex]\sigma=\sqrt{9.0.65(1-0.65)}[/tex]

[tex]\sigma=[/tex] 1.431

Now, use

[tex]z=\frac{x-\mu}{\sigma}[/tex]

to convert into a standard normal distribution.

The probability we want is between 2 values: P(4<X<5).

Therefore, we have to convert those two values:

For X = 4:

[tex]z=\frac{4-5.85}{1.431}[/tex]

z = -1.29

For X = 5:

[tex]z=\frac{5-5.85}{1.431}[/tex]

z = -0.59

Using z-table:

P(X>4) = 1 - P(z< -1.29) = 0.9015

P(X<5) = P(z< -0.59) = 0.2776

The probability will be

P(4<X<5) = P(X>4) - P(X<5)

P(4<X<5) = 0.9015 - 0.2776

P(4<X<5) = 0.624

The probability of 4 or 5 seeds germinate is 0.624.

Which ratio is equivalent to 1 : 8

Answers

Answer: 2:16

Step-by-step explanation:

Answer:

2 : 16

Step-by-step explanation:

1 : 8 2 : 16 3 : 24 4 : 32 5 : 40

6 : 48 7 : 56 8 : 64 9 : 72 10 : 80

11 : 88 12 : 96 13 : 104 14 : 112 15 : 120

16 : 128 17 : 136 18 : 144 19 : 152 20 : 160

21 : 168 22 : 176 23 : 184 24 : 192 25 : 200

26 : 208 27 : 216 28 : 224 29 : 232 30 : 240

31 : 248 32 : 256 33 : 264 34 : 272 35 : 280

36 : 288 37 : 296 38 : 304 39 : 312 40 : 320

41 : 328 42 : 336 43 : 344 44 : 352 45 : 360

46 : 368 47 : 376 48 : 384 49 : 392 50 : 400

51 : 408 52 : 416 53 : 424 54 : 432 55 : 440

56 : 448 57 : 456 58 : 464 59 : 472 60 : 480

61 : 488 62 : 496 63 : 504 64 : 512 65 : 520

66 : 528 67 : 536 68 : 544 69 : 552 70 : 560

71 : 568 72 : 576 73 : 584 74 : 592 75 : 600

76 : 608 77 : 616 78 : 624 79 : 632 80 : 640

81 : 648 82 : 656 83 : 664 84 : 672 85 : 680

86 : 688 87 : 696 88 : 704 89 : 712 90 : 720

91 : 728 92 : 736 93 : 744 94 : 752 95 : 760

96 : 768 97 : 776 98 : 784 99 : 792 100 : 800

it takes 4 workers 21 hours to landscape a park how many hours does it take 3 workers?

Answers

7 hoursssssssssssssssss

I need help I don't know how to do this, this is for a friend lol.

Answers

Answer:

bru tell me why i cant see that

Step-by-step explanation:

|2x + 4| less than or equal to 5

Answers

Step-by-step explanation:

|2x + 4| <= 5

We have -5 <= 2x + 4 <= 5.

Therefore -9 <= 2x <= 1 and -4.5 <= x <= 0.5.

CAN SOMEONE HELP WALLAHI THIS IS SO HARDDDDDD

Answers

Answer:

3[tex]\sqrt{5}[/tex]

what are three things in Canada measured in metric system

Answers

Answer:

meter,liter and gram metric system

Answer:

The metric system is a system of measurement that uses the meter, liter, and gram as base units of length (distance), capacity (volume), and weight (mass) respectively.

A machine is designed to fill 16oz bottles of shampoo. When the machine is working properly, the mean amount poured into the bottles is 16.05oz with a standard deviation of 0.1oz. Assume that the machine is working properly. If four bottles are randomly selected each hour and the number of oz in each bottle is measured, then 95% of the observations should occur in which interval

Answers

Answer:

The 95% of confidence interval are

(15.8663 ,16.2337)

Step-by-step explanation:

Step(i):-

Size of the Population = 16

Size of the sample (n) = 4

The mean of the sample = 16.05 oz

The standard deviation of the sample (S) = 0.1 oz

Degrees of freedom =n-1 =4-1 =3

t₀.₀₅,₃  = 3.1824

Step(ii):-

The 95% of confidence interval is determined by

[tex](x^{-} - Z_{0.05} \frac{S}{\sqrt{n} } , x^{-} -+Z_{0.05} \frac{S}{\sqrt{n} })[/tex]

[tex](16.05 - 3.1824\frac{0.1}{\sqrt{3} } , 16.05 -+3.1824 \frac{0.1}{\sqrt{3} })[/tex]

(16.05 -  0.1837 ,16.05  +0.1837 )

(15.8663 ,16.2337)

Final answer:-

The 95% of confidence interval are

(15.8663 ,16.2337)

I really dont get this question

Answers

ya i don’t either , good luck tho!


Find the equation of the linear function represented by the table below in slope-
intercept form.

Answers

Answer:

[tex]y = x +2[/tex]

Step-by-step explanation:

Given

The attached table

Required

Determine the equation

First, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (-3,-1)[/tex]

[tex](x_2,y_2) = (1,3)[/tex]

So, we have:

[tex]m = \frac{3 - (-1)}{1 - (-3)}[/tex]

[tex]m = \frac{3 +1}{1 +3}[/tex]

[tex]m = \frac{4}{4}[/tex]

[tex]m =1[/tex]

The equation in slope intercept form is calculated using

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 1(x - (-3)) -1[/tex]

[tex]y = 1(x +3) -1[/tex]

[tex]y = x +3 -1[/tex]

[tex]y = x +2[/tex]

The graph of the reciprocal parent function, f(x) = 1, is shifted 5 units up
and 8 units to the left to create the graph of g(x). What function is g(x)?

Answers

Answer:

A.  1/(x + 8) + 5.

Step-by-step explanation:

Staring with 1/x a shift up of 5 units makes it 1/x + 5.

A shift of 8 to the left makes it 1/(x + 8) + 5

Science

Which weather data would best indicate that monsoon rains are coming to Arizona on a hot day in August? Choose the three correct answers.


A

wind blowing from the south


B

high air pressure


C

high humidity


D

low air pressure


E

wind blowing from the north


F

low humidity

Answers

Answer:

A. wind blowing from the south

D. Low air pressure

C. High humidity

Step-by-step explanation:

High humidity can cause the clouds to shower. When the humidity is reached to 100 percent the rain starts. For the raining system the air pressure should be low. The low air pressure often indicates the thunderstorm. Cloud are ready filled with water and when the air pressure is lowered the rain starts.

For each of the following propositions, identify simple propositions, express the compound proposition in symbolic form, and determine whether it is true or false: The world is flat or zero is an even integer. If 432,802 is a multiple of 4, then 432,802 is even. 5 is a prime number and 6 is not divisible by 4. 3 ∈ Z and 3 ∈ Q . 2 / 3 ∈ Z and 2 / 3 ∈ Q . The sum of two even integers is even and the sum of two odd integers is odd.

Answers

Answer:

a) True

b) True

c) True

d) True

e) False

f) False

Step-by-step explanation:

a) The world is flat or Zero is an even Integer

simple proposition : it is a compound interestexpressing compound proposition in symbolic form : p v q  ;  where p = world is flat and q = Zero is an integerIt is a true statement

B )  If 432,802 is a multiple of 4, then 432,802 is even

simple proposition : It is a compound statement expressing compound proposition in symbolic form : p ⇒ q  ; where p = 432,802 is a multiple of 4  and q = 432,802 is evenp         q      p ⇒ q      hence statement is true

       F          T        T

C)  5 is a prime number and 6 is not divisible by 4

simple proposition : it is a compound statementsymbolic form ; p ∧ q

where p = 5 is a prime number  and q =  6 is not divisible by 4

statement is true

D)  3 ∈ Z and 3 ∈ Q

simple proposition : it is a compound statementsymbolic form :  p ∧ q

where p =  3 ∈ Z   and q = 3 ∈ Q

statement is true

E)  2 / 3 ∈ Z and 2 / 3 ∈ Q

simple proposition : It is a compound statementsymbolic form :  p ∧ q

where  p =  2 / 3 ∈ Z ( false )   and q = 2 / 3 ∈ Q ( true ) hence p ∧ q = false

statement is false

F) The sum of two even integers is even and the sum of two odd integers is odd.

simple proposition : It is a compound statementsymbolic form : p ∧ q

where  p = The sum of two even integers is even and q = the sum of two odd integers is odd.

statement is false

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