All categories

3 years ago

1 point

Mathematics

1 answer:

Lana71 [14]3 years ago

8 0

Answer:

x = 375 square feet and y = 6,300 pounds.

Explanation:

The table is:

AIRPLANE LIFTING FORCE

Area of Wings Lifting Force

(square feet) (pounds)

125 1,875

150 2,250

175 2,625

250 3,750

x 5,625

420 y

The ratio of lifting force to the area is equivalent for all pairs in the table. What are the values of x and y?

<u>1. Calculate x:</u>

Ratio of lifting force to the area for the first pair (row):

125/1,875

Ratio of lifting force to area for the pair with x:

x/5,625

Set the proportion:

Equal the two ratios

x/5,625 = 125/1,875

Multiply both sides by 5,625 (multiplication property of equalities):

x = 5,625 × 125/1,875

x = 375 ← answer

<u>2. Calculate y:</u>

You can use the same know ratio for the first pair: 125/1,875

And set the corresponding proportion, with y:

420/y = 125/1,875

Invert both sides:

y/420 = 1,875/125

Multiply both sides by 420

y = 420 × 1,875/125

y = 6,300 ← answer

The answer is x = 375 square feet and y = 6,300 pounds.

You might be interested in

On a scale . 1 inch represent 600 miles . how many miles would 3/4 inch represent?

MrRa [10]

It's a proportion.

$\frac{ \frac{3}{4} }{1} = \frac{x}{600}$

x (1) = 600 (3/4)

x = 450 mi

8 0

3 years ago

Which would give the best estimate of 4 and 7/8 times 3 and 6/7

balandron [24]

Me I would go with 3 time 6/7

5 0

3 years ago

Read 2 more answers

A time series that shows a recurring pattern over one year or less is said to follow a Select one:______

zaharov [31]

The answer is C. Seasonal pattern

3 0

4 years ago

Consider the following hypothesis test: H0: LaTeX: \mu_1-\mu_2=0μ 1 − μ 2 = 0 Ha: LaTeX: \mu_1-\mu_2\ne0μ 1 − μ 2 ≠ 0 The follow

Pavel [41]

Answer:

$z=\frac{104-\bar 106}{\sqrt{\frac{8.4^2}{80}+\frac{7.6^2}{70}}}}=-1.53$

Step-by-step explanation:

Data given and notation

$\bar X_{1}=104$ represent the mean for the sample 1

$\bar X_{2}=106$ represent the mean for the sample 2

$\sigma_{1} =8.4$ represent the population standard deviation for the sample 1

$\sigma_{2}=7.6$ represent the population standard deviation for the sample 2

$n_{1}=80$ sample size for the group 1

$n_{2}=70$ sample size for the group 2

z would represent the statistic (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the means for the two groups are the same, the system of hypothesis would be:

H0: $\mu_{1}-\mu_{2} =0$

H1: $\mu_{1} -\mu_{2} \neq 0$

If we analyze the size for the samples both are greater than 30 and we know the population deviations so for this case is better apply a z test to compare means, and the statistic is given by:

$z=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}$ (1)

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the statistic

First we need to calculate the mean and deviation for each sample, after apply the formulas (2) and (3) we got the following results:

And with this we can replace in formula (1) like this:

$z=\frac{104-\bar 106}{\sqrt{\frac{8.4^2}{80}+\frac{7.6^2}{70}}}}=-1.53$

7 0

3 years ago

Daisy works at an ice-cream parlor. She is paid $10 per hour for the first 8 hours she works in a day. For every extra hour she

tester [92]

Answer:

The expression giving her net earnings for a day with more than 8 hours worked is X = 80 + 15H, where H means "extra hours worked".

Step-by-step explanation:

Given that Daisy works at an ice-cream parlor earning $10 per hour for the first 8 hours she works in a day, and 1.5 times her hourly wage for every extra hour she works, in order to know how much can she make in a day working more than 8 hours the following equation has to be made:

X = (8 x 10) + (H x (1.5 x 10))

X = 80 + 15H

Therefore, if Daisy works 13 hours, the equation works as follows:

X = 80 + 15x13

X = 80 + 195

X = 275

3 0

3 years ago