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2 years ago

Answer this please !????!!?????!

Mathematics

1 answer:

allsm [11]2 years ago

8 0

106.67t + 4763.67 = 308.8t + 2844.18

308.8t - 106.67t = 202.13

202.13t + 2844.18 = 4763.67

202.13t = 1919.49

1919.49/202.13t ≈ 9.5

t ≈ 9.5

9 years and 5 months

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8% of the employees at a shop work part time. If there are 4 part time employees at the shop, how many employees are there in to

Murljashka [212]

Answer:

50 employees

Step-by-step explanation:

We can set up a proportion which would be

4/x = 8/100

This shows 4 out of x people is the same as 8% of 100.

We divide 100 by 8, and then multiply by 4 to get 50.

We can check this by plugging 50 into the proportion.

4/50 = 0.08

8/100= 0.08

There are 50 total employees at the shop.

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2 years ago

Hannah bought a total of 5.12 pounds of fruit at the market. She bought 2.5 pounds of pears and she also bought some bananas. Ho

lisov135 [29]

To find unknown part of a whole when there are two parts, subtract the part you do know from the whole. Subtract the lbs of pears from the total lbs. 5.12 lbs total - 2.5 lbs of pears = 2.62 lbs of bananas. 2.62 lbs of bananas is your answer.(my name is actually Hannah so I couldn't resist answering.)

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2 years ago

Read 2 more answers

Which image (A'B'C'D') of ABCD cannot be produced using only reflections? A. B. C. D.

liberstina [14]

Answer:

the answer is D

Step-by-step explanation:

3 0

2 years ago

A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 8o when staring at the top of the stat

Lyrx [107]

Answer:

$h=50.25\ ft$

Step-by-step explanation:

<u>Right Triangles </u>

In a right triangle, one of the internal angles is 90°. When this happens, there is always a longer side, called hypotenuse and two shorter sides, called legs. They relate to Pythagoras's theorem. The basic trigonometric relations also stand, including

$\displaystyle tan\alpha=\frac{a}{c}$

where a is the opposite leg to $\alpha$ and c is its adjacent led .

In our problem, we have a statue being looked by a person in such a way that the top of the statue forms an angle of 8° with the horizontal and the base of the statue forms an angle of 14° down. We also know the distance from the person to the statue is 50 ft. The situation is shown in the image below.

The height of the statue is h=a+b, where

$a=50tan8^o$

$b=50tan14^o$

Thus

$h=50tan8^o+50tan14^o$

$h=50(tan8^o+tan14^o)$

$\boxed{h=50.25\ ft}$

5 0

2 years ago

The average life of a bread-making machine is 7 years, with a standard deviation of 1 year. Assuming that the lives of these mac

Alina [70]

Answer:

a) $P(6.4$

b) $a=7 +1.036*0.333=7.345$

So the value of bread-making machine that separates the bottom 85% of data from the top 15% is 7.345.

Step-by-step explanation:

Previous concepts

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 central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Let X the random variable life of a bread making machine. We know from the problem that the distribution for the random variable X is given by:

$X\sim N(\mu =7,\sigma =1)$

We take a sample of n=9 . That represent the sample size.

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is also normal and is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\bar X \sim N(\mu=7, \frac{1}{\sqrt{9}})$

Solution to the problem

Part a

(a) the probability that the mean life of a random sample of 9 such machines falls between 6.4 and 7.2

In order to answer this question we can use the z score in order to find the probabilities, the formula given by:

$z=\frac{\bar X- \mu}{\frac{\sigma}{\sqrt{n}}}$

The standard error is given by this formula:

$Se=\frac{\sigma}{\sqrt{n}}=\frac{1}{\sqrt{9}}=0.333$

We want this probability:

$P(6.4$

Part b

b) The value of x to the right of which 15% of the means computed from random samples of size 9 would fall.

For this part we want to find a value a, such that we satisfy this condition:

$P(\bar X>a)=0.15$ (a)

$P(\bar X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.85 of the area on the left and 0.15 of the area on the right it's z=1.036. On this case P(Z<1.036)=0.85 and P(Z>1.036)=0.15

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=1.036$

And if we solve for a we got

$a=7 +1.036*0.333=7.345$

So the value of bread-making machine that separates the bottom 85% of data from the top 15% is 7.345.

8 0

2 years ago