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navik [9.2K]
3 years ago
11

the length of a rectangular building is 6 feet less than 3 times t he width. The perimeter is 120 feet. Find the width and the l

ength of the building.
Mathematics
1 answer:
garri49 [273]3 years ago
5 0
Call the width x.  Note that the length is 3x-6.  We know that double the width plus double the length is 120, so we write an equation:

2(x)+2(3x-6)=120
2x+6x-12=120
8x-12=120
8x=132
x=16.5
If x is 16.5, the width is 16.5, and the length is 3 \cdot 16.5 - 6 = 43.5.
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What percent of 7 is 2?
Liono4ka [1.6K]
It is 350% I think, because you are trying to find how many groups of 2 go into 7. So, you have to divide 7 by 2. You get 3.5. 3.5 in percentage form is 350%
6 0
3 years ago
The average height of a 13 year old male in the U.S. is 60 inches, with a standard deviation of 2 inches. The average weight of
Romashka [77]

Since the average height is 60 inches and its deviation is 2 inches, one deviation to the right (or higher) is 62 inches (60 + 2). Two deviations is 64 inches, three deviations is 66 inches, and four deviations is 68 inches.


Since the average weight is 100 pounds and its deviation is 5 inches, we repeat the process from finding heights to get to 115 pounds. That takes three deviations.


The MORE deviations away, the more unusual it is. So the height (4 deviations) is more unusual than the weight (3 deviations).

5 0
2 years ago
Read 2 more answers
The question is in the picture​
trasher [3.6K]

Answer:

should also = 35* if I'm not mistaken

Step-by-step explanation:

if this is wrong I'm very sorry. if no one else helps u with in the next 10 mins I suggest using socratic, it helps me

8 0
3 years ago
Escriba larazon entre la distancia (d)recorrida por un automóvil y el tiempo (t)empleando velocidad (v) es una razón entre dista
Romashka [77]

Answer:

V = d / t

Step-by-step explanation:

La velocidad se define como la relación entre la diatancia cubierta por un cuerpo y el tiempo necesario para cubrir esa distancia.

Si el tiempo empleado se da como (t)

La distancia recorrida se da como (d)

Podemos escribir la velocidad (V) en términos de disance y tiempo como;

V = d / t

4 0
2 years ago
There are 2,000 eligible voters in a precinct. A total of 500 voters are randomly selected and asked whether they plan to vote f
Ann [662]

Answer:

0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647

0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

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{p(1-p)}{n}})

Solution to the problem

The estimated population proportion for this case is:

\hat p = \frac{350}{500}=0.7

The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 99% confidence interval the value of \alpha=1-0.99=0.01 and \alpha/2=0.005, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=2.58

And replacing into the confidence interval formula we got:

0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647

0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

7 0
2 years ago
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