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3 years ago

5

Your brother has $2,000 saved for a vacation. His airplane ticket is $637. Write and solve an inequality to find out how much he

can spend for everything else. (not just a regular equation.)

2 answers:

disa [49]3 years ago

8 0

2000-637=1363

Inequality: x is less than or equal to 1363

Talja [164]3 years ago

7 0

Answer:

x ≤1363

Step-by-step explanation:

2,000-637 = 1363

x ≤1363

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Please help me? Show your work please! I give brainiest! (Or whatever it’s called :) )

azamat

You need to find the hypotenuse of the right triangle.

4² + 9² = c²
16 + 81 = c²
97 = c²
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9.85 × 5,280 = 52,008
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3 years ago

alicias garden is 50 square feet. inside of her garden she plants a section of tomatoes that is 3 feet by 4 feet how much more s

ioda

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38 square feet. in return please subscribe to Amiredagoat Yt.

Step-by-step explanation:

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3 years ago

A practice law exam has 100 questions, each with 5 possible choices. A student took the exam and received 13 out of 100.If the s

Cloud [144]

Answer:

$z=\frac{13-20}{4}=-1.75$

Assuming:

H0: $\mu \geq 20$

H1: $\mu$

$p_v = P(Z$

Step-by-step explanation:

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest (number of correct answers in the test), on this case we now that:

$X \sim Binom(n=100, p=0.2)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

We need to check the conditions in order to use the normal approximation.

$np=100*0.2=20 \geq 10$

$n(1-p)=20*(1-0.2)=16 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=100*0.2=20$

$\sigma=\sqrt{np(1-p)}=\sqrt{100*0.2(1-0.2)}=4$

So we can approximate the random variable X like this:

$X\sim N(\mu =20, \sigma=4)$

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 Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean". The letter $\phi(b)$ is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: $\phi(b)=P(z$

The z score is given by this formula:

$z=\frac{x-\mu}{\sigma}$

If we replace we got:

$z=\frac{13-20}{4}=-1.75$

Let's assume that we conduct the following test:

H0: $\mu \geq 20$

H1: $\mu$

We want to check is the score for the student is significantly less than the expected value using random guessing.

So on this case since we have the statistic we can calculate the p value on this way:

$p_v = P(Z$

5 0

3 years ago

What is the difference between the mean and the median of the data set?

Pepsi [2]

As you probably know there is a difference between mean and median -- the mean acts as a measure of the average, and on the other hand median measures the middle number. The median in this is 15 and the mean is also 15.

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3 years ago

The area of a square poster is 31 square inches. find the length of one side of the poster. Explain

kobusy [5.1K]

Answer:

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Step-by-step explanation:

In order to find the are of a square you would use the equation <em>a²</em>. However, since you are finding the length of one side and its a square, you use the equation $\sqrt{a}$ . The area of this square is 31 sq in., so you would replace a with 31. The equation then becomes $\sqrt{31}$ <em>. </em>When out into a calculator, the answer is 5.567764... which rounded up to the nearest hundreth is 5.57.

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3 years ago