IM RETAKING MY TEST CAN SOMEONE HELP ME WITH THIS!! MATH TY :)

If a scale drawing has a ratio of 1.5 inches to 20 feet,how many inches would be required for an actual distance of 75 feet?

ankoles [38]

Let, that distance = x inches.
1.5/20 = x/75
x = 75×1.5 / 20
x = 112.5/20
x = 5.625

In short, Your Answer would be 5.625 in.

Hope this helps!

7 0

3 years ago

A machine is used to fill plastic bottles with bleach. A sample of 18 bottles had a mean fill volume of 2.007 L and a standard d

abruzzese [7]

Answer:

The 99% confidence interval for the difference between the mean fill volumes at the two locations is;

-0.1175665 L < μ₁ - μ₂ < 0.1295665 L

Step-by-step explanation:

The number of bottles in the sample at the first location, n₁ = 18 bottles

The mean fill volume, $\bar{x}_{1}$ = 2.007 L

The standard deviation, σ₁ = 0.010 L

The number of bottles in the sample at the second location, n₂ = 10 bottles

The mean fill volume, $\bar{x}_{2}$ = 2.001 L

The standard deviation, σ₂ = 0.012 L

The nature of the variance of the two samples = Equal variance

The confidence interval of the statistics, C = 99%

The difference between the mean

$\mu_1 - \mu_2 = \left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2} \times \sqrt{\dfrac{\sigma _{1}^{2}}{n_{1}}+\dfrac{\sigma _{2}^{2}}{n_{2}}}$

(1 - C)/2 = (1 - 0.99)/2 = 0.005, the degrees of freedom, f = n₁ - 1 = 10 - 1 = 9

∴ $t_{\alpha /2}$ = 3.25

Therefore, we have;

$\mu_1 - \mu_2 = \left (2.007- 2.001 \right )\pm 3.25 \times \sqrt{\dfrac{0.01^{2}}{18}+\dfrac{0.12^{2}}{10}}$

Therefore, we have the difference of the two means given as follows;

-0.1175665 L < μ₁ - μ₂ < 0.1295665 L

8 0

3 years ago

A rectangular waterbed is 7 ft long 5 ft wide and 1 ft tall

tatyana61 [14]

Hey there! I'm happy to help!

We want to find the volume of this rectangular waterbed. This means the amount of space it takes up. To find the volume of a rectangular prism, you just multiply together the three side lengths.

7×5×1=35 cubic feet

Now, we need to see how many gallons fit into 35 cubic feet. We see that one gallon is equal to 0.13 cubic feet. So, we can set up a proportion to find how many gallons are needed. We will use g to represent our missing number of gallons.

$\frac{gallons}{cubic feet} = \frac{1}{0.13} =\frac{g}{35}$

In a proportion, the products of the diagonal numbers are equal. This means that 35, which is 1 multiplied by 35, is equal to 0.13g, which is from multiplying 0.13 by the g.

0.13g=35

We divide both sides by 0.13/

g≈269.23

When rounded to the nearest whole gallon, we will need 269 gallons of water to fill the waterbed.

I hope that this helps! Have a wonderful day! :D

3 0

3 years ago

Read 2 more answers

Two families attended a baseball game. The first family bought 5 bags of popcorn and 6 souvenir cups, which totaled $65. The sec

Bumek [7]

The cost of one bag is given as

$5

<h3> How much did one bag of popcorn cost?</h3>

Generally, the equation for the First family is mathematically given as

4x + 5y = 50

Equation Second family:

6x + 4y = 54

We have a system of 2 equations with 2 variables.

4x + 5y = 50

6x + 4y = 54

Since we are being asked for the cost of one bag of popcorn, which we will refer to as x, we will first remove y and then proceed to find x.

Both sides of the first equation need to be multiplied by -4, and both sides of the second equation need to be multiplied by 5. We are asked for the price of 1 bag of popcorn, x, so we will eliminate y and solve for x.

-16x - 20y = -200

30x + 20y = 270

In conclusion, Simply adding the equations will get rid of y.

14x = 70

x = 70/14

x = 5