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3 years ago

solve for x. if anyone could explain how exactly I solve this question, it would be greatly appreciated!!! thank you

Mathematics

1 answer:

Gennadij [26K]3 years ago

5 0

Answer:x=29

Step-by-step explanation:

You want to add all the like terms together so in this case 2x and x

29,30,20,8

3x=87

Divide 3 by both sides

X=29

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Would the function ƒ(x) = 4 be considered a step function? Explain your reasoning.

lana66690 [7]

Hey there! I'm happy to help!

A step function is a function that looks like stairs when you graph it. Normally the end of one line will be graphed as an open circle (less or greater than, not equal to) while the other end would be a closed circle. This allows for a new line of the function to start directly above it without it not being a function (an input cannot have two outputs)

The function f(x)=4 is just a horizontal line as it has a slope of 0 (there is no x on the right side of the equation), so this doesn't resemble a step function.

Have a wonderful day and keep learning! :D

3 0

3 years ago

Factor completely. 2x4 + 4x3 – 30x2? =

enyata [817]

Answer: -40

Multiply 2 by 4.
8+4•3-30•2
Multiply 4 by 3
8+12-30•2
Multiply-30 by 2
8+12-60
Simplify by adding and subtracting:
Add 8 and 12
20-60
Subtract 60 from 20
-40

4 0

3 years ago

Amer is a clerk. His group medical insurance costs $3,292 a year, of which the

choli [55]

She pays 40% so 3292 times by 0.40 gives you 1,316.80 is what she pays.

5 0

3 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:

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