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3 years ago

what is the volume of the rectangular prisms with a length of 1 5/8, a width of 3/8, and a height of 3in

Mathematics

1 answer:

SVEN [57.7K]3 years ago

7 0

Answer:

To find the volume of a cube one must multiply all three dimensions together. Here we know two of the dimensions and the volume but not the third dimension. First I multipl together to two known dimensions: 3/4 x 1/2 = 3/8. Next I divide the volume by this answer by using the reciprocal of 3/8 and multipling. 21/32 x 8/3 = 7/4 by cancelling the 32 with the 8 and the 21 with the 3. Now 7/4 must be changed into a mixed number. Divide the numerator by the denominator and write the remainder as a fraction. 7/4 = 1 3/4.

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60 POINTS!!! Please Help ASAP

irina1246 [14]

ANSWER

The distance is 10 units.

EXPLANATION

Let us use the distance formula to find the distance between,

$(x_1,y_1)=(1,4)$

and

$(x_2,y_2)=( - 5, - 4)$

The distance formula is given by,

$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$

We plug in the values to get,

$d = \sqrt{( - 5-1)^2 + ( - 4-4)^2}$

$d = \sqrt{( -6)^2 + ( - 8)^2}$

$d = \sqrt{36+ 64}$

$d = \sqrt{100}$

$d = 10$

7 0

3 years ago

What equivalent to 8(3x + 2y) by the distributive property?

anastassius [24]

Answer:

24x + 16y

Step-by-step explanation:

8(3x+2y)

8*3x + 8*2y

24x + 16y

4 0

3 years ago

Identify the slope of the line for the equation y = −

Lunna [17]

Answer:pretty sure it’s A. but the way you typed the things out I can’t tell

Step-by-step explanation:

7 0

4 years ago

Solve the equation. Explain your steps.

OleMash [197]

Answer:

x=-36

Step-by-step explanation:

x+1=-35 (divide both sides by 5)

x=-36 (subtract 1 from each side)

4 0

3 years ago

A car is advertised as having a gas mileage rating of at least 30 miles/gallon in highway driving. Suppose the miles per gallon

Aliun [14]

Answer:

We conclude that the car have mileage rating less than 30 miles per gallon.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 30 miles/gallon

Sample:

26, 24, 20, 25, 27, 25, 28, 30, 26, 33

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{264}{10} = 26.4$

Sum of squares of differences = 110.4

$S.D = \sqrt{\frac{110.4}{9}} = 3.50$

Sample size, n = 10

Alpha, α = 0.05

First, we design the null and the alternate hypothesis

$H_{0}: \mu \geq 30\text{ miles per gallon}\\H_A: \mu < 30\text{ miles per gallon}$

We use one-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{26.4 - 30}{\frac{3.50}{\sqrt{10}} } = -3.25$

Now,

$t_{critical} \text{ at 0.05 level of significance, 9 degree of freedom } =-1.833$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and reject it.

We conclude that the car have mileage rating less than 30 miles per gallon.

b) We assumed that the level of significance is 0.05 that is 5%.

7 0

3 years ago