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Answer:

10.8 gallons

Step-by-step explanation:

First change everything to inches:

2.75 ft = 33 in

1.5 ft = 18 in

Volume of tank = lwh = (33)(18)(7) = 4158 in³

The tank is 40% full, so only 60% is need to fill it. To find 60%, multiply 4158 by 0.6 = 2494.8 in³

Now find out how much 2494.8 in³ is in gallons:

231 in³ = 1 gallon

1 in³ = 1/231 gallons

2494.8 = (1/231)(2494.8) gallons = 10.8 gallons

Answer:

A) 9(2+7)

B) 3(12+9

C) 8(3+7)

D)4(5+8)

Step-by-step explanation:

A)

9*(x+7) = 18+63

9*(x+7) = 81

81/9 = x+7

9 = x+7

x = 2

B)

x*(12+9) = 36+27

x*(12+9) = 63

x*21 = 63

x = 63/21

x = 3

C)

8*(x+7) = 24+56

8*(x+7) = 80

x+7 = 80/8

x+7 = 10

x = 3

D)

x*(5+8) = 20+32

x*13 = 52

x = 52/13

x = 4

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-Chetan K

Answer: Probability of getting  

17

tails from  

20

tosses is  

285

262144

=

0.0010872

Step-by-step explanation:

When a coin is tossed there are two possibilities.- it is either a head or tail and probability of getting either head or tail is  

1

2

.

Answer:

How many days will it take for the water to be 4m high?

Step-by-step explanation:

use the missing variable.

Answer:

6

Step-by-step explanation:

2(2y - 12) = 0

distribute the 2

2·2y - 2·12 = 0

4y - 24 = 0

add 24 to both sides

4y - 24 + 24 = 0 + 24

4y = 24

divide both sides by 4

(4y)/4 = 24/4

y = 6

Answer:

0

Step-by-step explanation:

If b is 3 then the quiz can be rewritten as

8²3-3

8²0

64×0=0

Well it's just a trial

Answer:400

Step-by-step explanation:

Answer:

The answer is 7

Step-by-step explanation:

2x+17+3x=4x+3x+3

5x+17=7x+3

5x-7x=3-17

-2x=-14

x=7

Answer:

16. 70%

17. 100%

Step-by-step explanation:

16. As seen here, there are 10 marbles in total. Out of those marbles, there are 7 green marbles.

We can set up a "part to whole" fraction such as 7/10

Then we just find the % value by finding an equivalent "x to 100" ratio (percentages go up to 100)

7/10 = x/100

1000 = 7x

70 = x

17. Fortunately, there doesn't seem to need too much math involved as the only possible marbles are red and green. Therefore, you have a 100% chance of getting a green or red marble.

Hope that helps a bit!

Answer:

a) The margin of error for a 90% confidence interval when n = 14 is 18.93.

b) The margin of error for a 90% confidence interval when n=28 is 12.88.

c) The margin of error for a 90% confidence interval when n = 45 is 10.02.

Step-by-step explanation:

The t-distribution is used to solve this question:

a) n = 14

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 14 - 1 = 13

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 13 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.7709

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.7709\frac{40}{\sqrt{14}} = 18.93[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The margin of error for a 90% confidence interval when n = 14 is 18.93.

b) n = 28

27 df, T = 1.7033

[tex]M = T\frac{s}{\sqrt{n}} = 1.7033\frac{40}{\sqrt{28}} = 12.88[/tex]

The margin of error for a 90% confidence interval when n=28 is 12.88.

c) The margin of error for a 90% confidence interval when n = 45 is

44 df, T = 1.6802

[tex]M = T\frac{s}{\sqrt{n}} = 1.6802\frac{40}{\sqrt{45}} = 10.02[/tex]

The margin of error for a 90% confidence interval when n = 45 is 10.02.

Answer:

Kageyama x Milk

Step-by-step explanation:

djkdkdkdksksk y u h

Answer:

The answer is 432

Step-by-step explanation:

Multiply

Answer:

B) There is convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.

Step-by-step explanation:

Chi square test value is greater than the p-value which suggest that we can reject the null hypothesis and there is strong evidence supporting the statement of alternative hypothesis.

The conclusions, made for political affiliation, that there is convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.

Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.

The analyst took a random sample of 1,250 people in a state. The following are the hypotheses the analyst tested-

The chi-square test statistic and p-value of the hypothesis test were 19.78 and 0.003 respectively.

The value of chi square is greater than p-value as,

[tex]19.78 > 0.003[/tex]

Therefore, the null hypothesis can be rejected. There is an association between party affiliation and the county in which a person lives.

Hence, the conclusions, made for political affiliation, that there are convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.

Learn more about the random sample here;

https://brainly.com/question/17831271

Answer:

4 units

Step-by-step explanation:

Use the distance formula

d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

Plug in the points

d = [tex]\sqrt{(-4 - (-8))^2 + (3 - 3)^2}[/tex]

d = [tex]\sqrt{(4)^2 + (0)^2}[/tex]

d = [tex]\sqrt{16}[/tex]

d = 4

So, the distance between the pair of points is 4 units

Answer:

4 units

Step-by-step explanation:

[tex]\large{ \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2} } }[/tex]

The formula above is the formula of distance between two points.

Substitute the ordered pairs in.

[tex] \large{ \sqrt{ {( - 4 + 8)}^{2} + {(3 - 3)}^{2} } } \\ \large{ \sqrt{ {4}^{2} + 0 } } = \sqrt{16} = 4[/tex]

Therefore, the distance between two points is 4 units.

Answer:

Step-by-step explanation:

[tex]7\tan \theta-\frac{7}{3}\cot \theta=0\\\tan \theta=\frac{1}{3} \cot \theta\\\tan^2\theta=\frac{1}{3}\\\tan \theta=\pm \frac{1}{\sqrt{3}}\\when ~\tan \theta=\frac{1}{\sqrt{3}}=tan 30,tan (180+30)\\\theta=30^\circ ,210^\circ\\when~ \tan \theta=-\frac{1}{\sqrt{3}}=\tan (180-30),tan(360-30)\\\theta=150^\circ,330^\circ[/tex]

solution set is {30,150,210,330}

Answer:

isoceles and right

Step-by-step explanation:

Answer:

I think the answer us B........

Answer:

[tex]H)39.6[/tex]

Step-by-step explanation:

To get the mean, you have to add all the numbers, then divide the sum by the amount of individual numbers there are.

In this problem, we see that there are 5 different numbers. If we add all those numbers together, they will equal 198.

[tex]198[/tex] ÷ [tex]5 = 39.6[/tex]

Answer:

The mean absolute deviation is 36.8. Hope this was helpful

Step-by-step explanation:

Answer:

95% of the lower confidence interval for the true average proportional limit stress of all such joints

7.7829

95% of the confidence interval for the true average proportional limit stress of all such joints

(7.7829, 9.3171)

Step-by-step explanation:

Step(i):-

Given that the sample size 'n' = 12

Mean of the sample = 8.55

The standard deviation of the sample (S) = 0.76

Step(ii):-

95% of the confidence interval is determined by

[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } , x^{-} + t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} })[/tex]

Degrees of freedom = n-1 = 12-1 = 11

t₀.₀₂₅ = 3.4966

[tex](8.55 - 3.4966\frac{0.76}{\sqrt{12} } , 8.55 + 3.4966 \frac{0.76}{\sqrt{12} })[/tex]

(8.55 - 0.7671 , 8.55+0.7671)

(7.7829, 9.3171)

Final answer:-

95% of the confidence interval for the true average proportional limit stress of all such joints

(7.7829, 9.3171)

Answer:

6 is 56.25

7 is 97.50

Step-by-step explanation:

Answer:

Least = m<H

Middle = m<J

Greatest = m<I

Step-by-step explanation:

The angle opposite the shortest side would have the shortest angle.  The side opposite the greatest side would have the greatest angle.

Least = m<H

Middle = m<J

Greatest = m<I

Answer:

210

Step-by-step explanation:

29*7 = 203, 203 is the closest number to 210!

Answer:

210

Step-by-step explanation:

Answer:

eat my cog

Step-by-step

Answer:

D

Step-by-step explanation:

This equation may look hard, but all of the steps are in the question, so all we need to do now is plug in the numbers!

The question asks us to round all numbers to the nearest whole number before plugging them in, so we'll round 11.3 down to 11.

Now, we just need to plug in 11 to the equation to ger A=11²pi

11 squared is 121, so now we just need to multiply 121 by pi.

Pi is a long number, but again, the equation asks us to round to the nearest whole number, so since pi is 3.143, we can round that to three.

Now all we need to do is multiply 121 by 3 to get 363!

I hope this helps.

Answer:

no por que 1/3 es menor que 4

Step-by-step explanation:

Step-by-step explanation:

The degree of the function is one: Correct

The y values change by a common difference: incorrect

The graph is a straight line: Correct

Vertex form is used for graphing: Incorrect

Hope that helps :)

Answer:

The diameter decreases at a rate of 0.053 cm/min.

Step-by-step explanation:

Surface area of an snowball

The surface area of an snowball has the following equation:

[tex]S_{a} = \pi d^2[/tex]

In which d is the diameter.

Implicit differentiation:

To solve this question, we differentiate the equation for the surface area implictly, in function of t. So

[tex]\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}[/tex]

Surface area decreases at a rate of 3 cm2/min

This means that [tex]\frac{dS_{a}}{dt} = -3[/tex]

Tind the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm.

This is [tex]\frac{dd}{dt}[/tex] when [tex]d = 9[/tex]. So

[tex]\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}[/tex]

[tex]-3 = 2*9\pi\frac{dd}{dt}[/tex]

[tex]\frac{dd}{dt} = -\frac{3}{18\pi}[/tex]

[tex]\frac{dd}{dt} = -0.053[/tex]

The diameter decreases at a rate of 0.053 cm/min.

Answer:

y=55+15x

Step-by-step explanation:

Answer:

The answer is (C) y = 55 + 15 x

Step-by-step explanation:

This is because the cost of the plan must be added to the cost of the lines to find the total cost. The equation for option (C) correctly depicts that y the plan, needs to be added to x the lines. This equation correctly shows the relationship between the two numbers.

Answer:

591 square cm

Step-by-step explanation:

25 times 23 =575

4 times 4 =16

575 plus 16=591

Answer:

591

Step-by-step explanation:

23x25=575+(4x4)=591