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3 years ago

Find the value of x. round your answer to the nearest tenth.

Mathematics

1 answer:

Yakvenalex [24]3 years ago

5 0

9514 1404 393

Answer:

x ≈ 13.7

Step-by-step explanation:

The relevant trig relation is ...

Tan = Opposite/Adjacent

tan(58°) = 22/x

x = 22/tan(58°) ≈ 13.747

The value of x is about 13.7 units.

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What is the answer to this question because I am stuck 3x^2y^4 x 2x^6y

mash [69]

Answer:

6x^8y^5

Step-by-step explanation:

3x^2y^4 x 2x^6y

3x x x x y x y x y x y x 2x x x x x x x x x x x x y

6x^8y^5

3 0

4 years ago

Consider a parent population with mean 75 and a standard deviation 7. The population doesn’t appear to have extreme skewness or

Aleks04 [339]

Answer:

a) $\bar X \sim N(\mu=375, \sigma={\bar X}=\frac{7}{\sqrt{40}}=1.107)$

b) Since the sample size is large enough n>30 and the original distribution for the random variable X doesn’t appear to have extreme skewness or outliers, the distribution for the sample mean would be bell shaped and symmetrical.

c) $P(\bar X \leq 77)=P(Z$

d) See figure attached

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 of interest. We know from the problem that the distribution for the random variable X is given by:

$E(X) = 75$

$sd(X) = 7$

We take a sample of n=40 . That represent the sample size

Part a

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

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

$\bar X \sim N(\mu=375, \sigma={\bar X}=\frac{7}{\sqrt{40}}=1.107)$

Part b

Since the sample size is large enough n>30 and the original distribution for the random variable X doesn’t appear to have extreme skewness or outliers, the distribution for the sample mean would be bell shaped and symmetrical.

Part c

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

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

And we want to find this probability:

$P(\bar X \leq 77)=P(Z$

We can us the following excel code: "=NORM.DIST(1.807,0,1,TRUE)"

Part d

See the figure attached.

8 0

3 years ago

In 2008 election there was 28 blue states and 22 red states express the red and blue states as fractions in lowest terms of the

Basile [38]

Let's start with the blue states. Out of 50 states, 28 of them were blue.
Therefore, the fraction would be 28/50. Let's reduce it.
28/50=14/25 --> these are the lowest terms for this fraction
Use a calculator to find the decimal solution --> 14/25= .56

Now, let's do the red states. Out of the 50 states, 22 of them were blue.
22/50=11/25 --> lowest terms
Use a calculator --> 11/25= .43

8 0

4 years ago

Please help with these 2 answers i only have 10 minutes left

natta225 [31]

Answer:

1/4 of a pound
4/15 of the flat

Step-by-step explanation:

For number 1:

3/4 ÷ 3 = 0.25
0.25 = 1/4

For number 2:

4/5 ÷ 3 = 4/15

I hope this helps!

5 0

3 years ago

Read 2 more answers

Toms son works in a sports store.Toms son earns a commision. He makes 2.5% of the amount he sells. Last week he sold $900 worth

siniylev [52]

Answer:

22.5

Step-by-step explanation:

2.5/100= 0.0250

0.025 x 900 = 22.5

5 0

4 years ago