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3 years ago

ANSWER FAST

Mathematics

1 answer:

brilliants [131]3 years ago

7 0

Answer:

y = 1

Step-by-step explanation:

x + y = 16

x - y = 14 add the equations

--------------

2x = 30

x = 15

x + y = 16

15 + y = 16

y = 1

the numbers are 15 and 1

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Engineers want to design seats in commercial aircraft so that they are wide enough to fit 95%of all males. (Accommodating 100%

Anarel [89]

Answer:

Upper P95 = 16.21in

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 14.4, \sigma = 1.1$

Upper P 95

This is the 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.

Then

$Z = \frac{X - \mu}{\sigma}$

$1.645 = \frac{X - 14.4}{1.1}$

$X - 14.4 = 1.1*1.645$

$X = 16.21$

Upper P95 = 16.21in

3 0

3 years ago

4x +6 < -6 show steps

rewona [7]

4x + 6 < -6
- 6 -6

4x < -6
— —
4 4

x < -1.5

6 0

3 years ago

Read 2 more answers

What is mathematics?

RUDIKE [14]

Answer:

Mathematics is a branch of science which involves numbers,space and quantity.

Step-by-step explanation:

I hope this helps you in any way.Have a great day :)

8 0

3 years ago

Read 2 more answers

A business has two loans totaling $50,000. One loan has a rate of 8% and the other has a rate of 12%. This year, the business ex

Debora [2.8K]

Answer:

the 8% loan has a principal of $37500

the 12% loan has a principal of $12500

Step-by-step explanation:

Let's start by writing the general equation for the interest hwre I is the interest, P is the principal (in our case would be loan amounts), "r" is the interest rate in decimal form (in our case one would be 0.12, and the other one 0.08), and t is the time in years (in our case 1 year).

$I=P*r*t$

Then we write the interest equation coming from each loan at the end of this year (we call I1 the interest coming from the 12% loan and I2 the interest coming from the 8% one). Since we don't know the loan amounts (in fact those are what we need to find) we will name one "x" and the other "y":

$I=P*r*t\\I1=x * 0.12*1\\I2=y*0.08*1$

Next, we add these last two equations term by term, and replace the addition of both interests by $4500 as given in the information:

$I1=x * 0.12*1\\I2=y*0.08*1\\I1+I2 = 0.12x+0.08y\\4500=0.12x+0.08y$

This is our first equation in the variables x and y which are our unknowns.

Now we generate the second equation on x and y by writing in agebraic terms the other piece of information we have: "the total of the two loans is $50000. That is the addition of the principals x and y should equal $50000:

$x+y=50000$

We solve for y in this last equation and replace its form in terms of x in the equation of the interest, and solve for the unknown x:

$y=50000-x\\4500 = 0.12x +0.08 y\\4500=0.12x+0.08(50000-x)\\4500=0.12x+4000-0.08x\\4500=0.12x-0.08x+4000\\4500=0.04x+4000\\4500-4000=0.04x\\500=0.04x\\x=\frac{500}{0.04} =12500$

Therefore the amount of the loan at 12% is $12500

Now to find the amount of the second loan "y" we use the equation for the totals of the loans:

$x+y=50000\\12500+y=50000\\y=50000-12500=37500$

Therefore, the loan at 8% is $37500

5 0

3 years ago

PLEASE FAST 10 POINTS

Karolina [17]

Answer:

6. 5 % is the answer

Step-by-step explanation:

formula =

R = I × 100 / P × T

4 0

3 years ago