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3 years ago

Decrease 40 by 15% please explain how you got your answer too :)

Mathematics

1 answer:

Anit [1.1K]3 years ago

8 0

So 10 % of 40 is 4
5% of 40 is 2
so 15% is 6
then you have to do 40-6
and then you get the answer of 34

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ALGEBRA TWO HELP!!!!!!!!!!!!

ohaa [14]

Answer:

$\frac{p^{-4}q^{5}r^{6}}{p^{-3}qr^{-2}}=p^{-1}q^{4}r^{8}$

Step-by-step explanation:

In division of powers with the same base, we must subtract the exponent of the denominator from the exponent of the numerator:

$\frac{a^{m}}{a^{n}}=a^{m-n}$

Then applying this to the problem:

$\frac{p^{-4}q^{5}r^{6}}{p^{-3}qr^{-2}}=p^{-4-(-3)}q^{5-1}r^{6-(-2)}$

Eliminating the parentheses:

$\frac{p^{-4}q^{5}r^{6}}{p^{-3}qr^{-2}}=p^{-4+3}q^{5-1}r^{6+2}\\ \frac{p^{-4}q^{5}r^{6}}{p^{-3}qr^{-2}}=p^{-1}q^{4}r^{8}$

5 0

3 years ago

Read 2 more answers

An insurance company is interested in conducting a study to to estimate the population proportion of teenagers who obtain a driv

nlexa [21]

Answer:

n=1041 or higher

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

2) Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.04$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Since we don't have a prior estimation for th proportion of interest, we can use this value as an estimation $\hat p =0.5$ And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{2.58})^2}=1040.06$

And rounded up we have that n=1041 or higher.

8 0

3 years ago

The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1). After translation, R' is the point (–11, –11). Fin

koban [17]

Answer:

The original coordinate of

R is (-5, -5)

The new coordinate of

R is (-11, -11)

The translation rule is ( x - 6, y - 6)

The original coordinate of

U is (-5, 1)

The new coordinate of

U is (-5 - 6, 1 - 6)

which is

(-11, -5)

U' = (-11, -5)

7 0

3 years ago

HELP

Rus_ich [418]

Answer:

It's Cos again.

Thumbs-up

8 0

3 years ago

At 5 seconds, an object's velocity is 9 meters per second. At 8 seconds, the object's velocity is 25 meters per second. Assuming

RideAnS [48]

Acceleration = (change in speed) / (time for the change) .

Change in speed = (25 m/s - 9 m/s) = 16 m/s

Time for the change = (8 sec - 5 sec) = 3 seconds

Acceleration = (change in speed) / (time for the change)

= (16 m/s) / (3 sec)

= (5 and 1/3) m/s² .

(rounded to the nearest hundredth ... 5.33 m/s² . )

7 0

3 years ago