1 3/5 gallons of gasoline were used to drive 25 1/2 miles. How many miles per gallons did the car get?​

Answer:

0.3

Step-by-step explanation:

Start at the beginning, follow the branch to A and then the branch to D (see attached annotated diagram).

When calculating the probability of an event AND another event, multiply the probabilities.

P(A and D) = 0.5 x 0.6 = 0.3

Using the t-distribution, the 80% confidence interval for the mean number of jelly beans is (41.22, 44.78).

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

The critical value, using a t-distribution calculator, for a two-tailed 80% confidence interval, with 20 - 1 = 19 df, is t = 1.3277.

The other parameters are given as follows.

[tex]\overline{x} = 43, s = 6, n = 20[/tex].

Hence, the bounds of the interval are given by:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 43 - 1.3277\frac{6}{\sqrt{20}} = 41.22[/tex]

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 43 + 1.3277\frac{6}{\sqrt{20}} = 44.78[/tex]

The 80% confidence interval for the mean number of jelly beans is (41.22, 44.78).

More can be learned about the t-distribution at https://brainly.com/question/16162795

Answer:

The Answer is 108 units.

It's number 2.

The regression lines 3x+2y=26 and 6x+y=31 are linear regressions

We have the equations to be:

3x+2y=26 and 6x+y=31

Make y the subject in the second equation

y = 31 - 6x

Substitute y = 31 - 6x in the first equation

3x+2[31 - 6x] = 26

Expand

3x+ 62 - 12x = 26

Collect like terms

3x - 12x = 26 - 62

Evaluate

-9x = -36

Divide by - 9

x = 4

Substitute x = 4 in y = 31 - 6x

y = 31 - 6 * 4

y = 7

This means that the mean values are 4 and 7

To determine the correlation coefficient, we make y the subject in 3x+2y=26 and x the subject in 6x+y=31.

So, we have:

y = 13 - 3x/2 and x = 31/6 - 1/6y

The above means that:

Bxy = -1/6 and Byx = -3/2

The correlation coefficient is then calculated as:

r^2 = Bxy * Byx

r = -1/6 * -3/2

r = 0.25

Hence, the correlation coefficient between x and y is 0.25

We have:

Var(y) = 4

In (a), we have:

y = 13 - 3x/2

To solve further, we make use of:

Var(y) = Var(ax + b) = a^2Var(x)

This gives

Var(y) = Var(13 - 3x/2) = 13^2 * Var(x)

So, we have:

Var(y) = 13^2 * Var(x)

Substitute 4 for Var(y)

4 = 13^2 * Var(x)

Divide both sides by 13^2

4/13^2 = Var(x)

Express 4 as 2^2

(2/13)^2 = Var(x)

So, we have:

Var(x) = (2/13)^2

Take the square root of both sides

SD(x) = 2/13

Hence, the standard deviation of x is 2/13

Read more about regression lines at:

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[tex]\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\dotfill &75\\ P=\textit{initial amount}\dotfill &2400\\ t=seconds\\ h=\textit{half-life}\dotfill &13.8 \end{cases} \\\\\\ 75=2400\left( \frac{1}{2} \right)^{\frac{t}{13.8}}\implies \cfrac{75}{2400}=\left( \frac{1}{2} \right)^{\frac{t}{13.8}}\implies \cfrac{1}{32}=\left( \frac{1}{2} \right)^{\frac{1}{13.8} t}[/tex]

[tex]\log\left( \cfrac{1}{32} \right)=\log\left[ \left( \frac{1}{2} \right)^{\frac{1}{13.8} t} \right]\implies \log\left( \cfrac{1}{32} \right)=t\log\left[ \left( \frac{1}{2} \right)^{\frac{1}{13.8}} \right] \\\\\\ \cfrac{\log\left( \frac{1}{32} \right)}{\log\left[ \left( \frac{1}{2} \right)^{\frac{1}{13.8}} \right]}=t\implies \cfrac{\log\left( \frac{1}{32} \right)}{\log\left[ \sqrt[13.8]{\frac{1}{2}} \ \right]}=t\implies 69\approx t[/tex]

bro what.... finish the question...

Answer: 6.25%

Step-by-step explanation:

Percent Decrease = ( ( Starting Value - Final Value ) / Starting Value ) * 100

So 672,000-630000 = 42,000

42,000 / 672,00 = 0.0625

Finally multiply by 100 soooooo 0.0625 * 100 = 6.25%

Answer:

5.5 maybe i guess its fun

Answer:

The aswer is 88

Step-by-step explanation:

Hope this helps

A) 144 in

is your answer. good luck

cos θ = Adjacent/ hypotenuse

cosθ= 5/13

a²+b²= c²

a² + 5² = 13²

a² = 13² - 5²

a² = 144

a=√144

a= 12

a is the opposite = 12

b is the Adjacent = 5

c is the hypotenuse = 13

a) tan θ= opposite/Adjacent

tan θ = 12/5

b) sin θ= opposite/ hypotenuse

sinθ= 12/13

C) sec θ= hypotenuse / Adjacent

sec θ= 13/5

d) cscθ= hypotenuse /opposite

cscθ= 13/12

e) cotθ=Adjacent/ opposite

cotθ= 5/12

Answer:

Answer below

Step-by-step explanation:

Slope=0.400/2.000 or 0.2

X-Intercept=15/1 or 15

Y-intercept=15/-5 or 3/-1 or -3

Answer:

Parabola opens upwards, so it's a vertical parabola. Vertex at origin (0,0) and focus at (0,2). Standard equation of this parabola is

| (X — h)^2 = 4p(Y — k) |

Focus is at (0,2), so distance between vertex and focus, which is p is 2 units. So 4p = 8 units.

So the equation of this parabola is,

(X — 0)^2 = 8(Y — 0)

X^2 = 8Y or Y = X^2/8

Step-by-step explanation:

Answer:

1.TRUE

2.TRUE

3.TRUE

4.TRUE

5.TRUE

Step-by-step explanation:

THATS MY ANSWER ON MY MODULES

hope it helps as

Answer:

7 steps.

Step-by-step explanation:

Since the monkey is sitting on the first step already you can subtract 9 by 1 to find the amount of steps left.

9-1 = 8 steps left

The monkey jumps 3 steps down

8-3= 5 steps

Then jumps 2 steps up

5 + 2 = 7 steps

The monkey has 7 more steps until he reaches the water level.

Answer:

figure      area     add        units (?)    (?)

Step-by-step explanation:

Might need a little more information

  last one can be   square feet      square yards    square inches   square cm  square meters   etc   etc     It depends on the dimensions of the figure which isn't shown.

Answer:

1:1000

2,100 kg

Step-by-step explanation:

A linear scale of 1:10 means a volume scale of 1:1000.

The ratio of the volumes is model:real = 1:1000.

The mass is proportional to the volume.

The real car has a volume 1000 times the volume of the model, so its mass is also 1000 times the mass of the car.

mass of real car = 1000 × 2.1 kg = 2100 kg

Answer:

A = 120 C = 45

Step-by-step explanation:

180 - 15 = 165
(12x + 12) + (3x + 18) = 165
15x + 30 = 165
15x = 135
135 ÷ 15 = 9
x = 9

A = (12x + 12) = 108 + 12 = 120
C = (3x + 18) = 27 + 18 = 45

-8 to 0 = 8

0 to 2 = 2

total change = 8 + 2 = 10 degrees

The rate in copies per minute the copy machine print is 10 copies per minutes.

Rate is the ratio between two related quantities in different units.

In other word rate is a quotient of two measurements with different units.

In our case we were asked to find the rate at which the machine prints per minutes.

The two related quantities are amount printed and the time in minutes.

Since, the copy machine prints 10 copies in one minutes, the rate at which the copy machine print per minute is 10 copies per minutes.

learn more on rate here: https://brainly.com/question/14199541

Answer:

See below ↓↓↓↓↓↓

Step-by-step explanation:

5.

6.

7.

8.

9.

10.

The amount of material needed for the containers is its surface area

The amount of material needed for the 8 containers using the assumed parameters is 3080 square feet

The question is incomplete, as the figure of the right pentagonal prism is not given.

So, I will provide a general explanation.

The surface area (SA) of a right pentagonal prism is:

SA = 5b(a + h)

Where:

From the question, we have the height of the prism to be 8 ft.

Assume that:

a = 3 ft and b = 7 ft

The equation becomes

SA = 5 * 7 * (3 + 8)

Evaluate the product

SA = 385

The amount of material needed for the 8 containers would be:

Amount = 8 * 385 square feet

Amount = 3080 square feet

Hence, the amount of material needed for the 8 containers using the assumed parameters is 3080 square feet

Read more about area at:

https://brainly.com/question/24487155

Answer:

The answer is 1872

Step-by-step explanation:

the answers are as follows:

• -15

• -7

• 5

• 13

• 21

Answer:

[tex]\frac{5}{2} - d[/tex]

Hope This Helps! :) Please Mark Brainliest!

Answer:

x = 110

Step-by-step explanation:

find the number : x

that must be added : +

to :

40/100 * 225 + x = 200

2/5 * 225 + x = 200

90 + x = 200

x = 200 - 90

x = 110

Answer:

Ratio

Step-by-step explanation:

1. Your checking account number as a name for your account. Nominal (renaming)

2. Your checking account balance as a measure of the amount of money you have in that account. Ratio

3. Your checking account balance as a measure of your wealth. Interval

4. The number you get from a machine (32, 33,...) as a measure of the time you arrived in line. Ordinal

5. The order in which you were eliminated in a spelling bee as a measure of your spelling ability. Interval

6. Your score on the first statistics test as a measure of your knowledge of statistics. Ratio

7. Your score on an individual intelligence test as a measure of your intelligence. Nominal

8. The distance around your forehead measured with a tape measure as a measure of your intelligence. Interval

9. A response to the statement "Abortion is a woman's right" where Strongly Disagree = 1, Disagree = 2, No Opinion = 3, Agree = 4, and Strongly Agree = 5, as a measure of attitude toward abortion. Ordinal

hope it helps:)

Answer: CIRCLE C

Step-by-step explanation: