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2 years ago

The value of x is and the value of y is

Mathematics

1 answer:

storchak [24]2 years ago

6 0

Since the slope is 2/3, for every time the x-value increases by 1
the y-value increases by 2/3.

The answer to x is found by finding the difference between 3 and 5, which is 2.
2/3 goes into that 3 times.
So subtract 2 from -2 to get -4.
The x-value is -4.

The answer for the y-value is given earlier:
the original point of (-2,5).
The y-value is 5.

Hope this helps!

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A group of students wanted to investigate the claim that the average number of text messages sent yesterday by

Likurg_2 [28]

First we need to write the null and alternate hypothesis for this case.

Let x be the average number of text message sent. Then

Null hypothesis: x = 100
Alternate hypothesis: x > 100

The p value is 0.0853

If p value > significance level, then the null hypothesis is not rejected. If p value < significance level, then the null hypothesis is rejected.

If significance level is 10%(0.10), the p value will be less than 0.10 and we reject the null hypothesis and CAN conclude that:
The mean number of text messages sent yesterday was greater than 100.

If significance level is 5%(0.05), the p value will be greater than 0.05 and we cannot reject the null hypothesis and CANNOT conclude that:
The mean number of text messages sent yesterday was greater than 100.

7 0

2 years ago

Can you help me with the last four? Thanks!!!

Lina20 [59]

When you have -(-2) it equals +2 and the same goes for any other number. When you have +(-2) it equals -2 and the same goes for any other number. Hope this helps!

4 0

2 years ago

H(x) = -x - 1, find h(-2)

eduard

Answer:

I think the answer is 1

Step-by-step explanation:

-(-2)-1

6 0

2 years ago

What is the product of (-4)(7) and why?

Evgesh-ka [11]

Answer:

The product of (-4)(7) is -28

Step-by-step explanation:

First you will multiply the number together.

This gets you -28.

The reason it is a negative number is because when you multiply a positive and a negative number together, you get a negative number.

Whereas, if it were two negative numbers, (-4)(-7), or two positive numbers,

(4)(7), the answer would have been positive, 28.

3 0

2 years ago

The average American man consumes 9.8 grams of sodium each day. Suppose that the sodium consumption of American men is normally

Alex Ar [27]

Answer:

(a) The distribution of X is N (9.8, 0.8²).

(b) The probability that an American consumes between 8.8 and 9.9 grams of sodium per day is 0.4461.

Step-by-step explanation:

The random variable X is defined as the amount of sodium consumed.

The random variable X has an average value of, μ = 9.8 grams.

The standard deviation of X is, σ = 0.8 grams.

(a)

It is provided that the sodium consumption of American men is normally distributed.

The random variable X follows a normal distribution with parameters μ = 9.8 grams and σ = 0.8 grams.

Thus, the distribution of X is N (9.8, 0.8²).

(b)

If X ~ N (µ, σ²), then $Z=\frac{X-\mu}{\sigma}$ , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z ~ N (0, 1).

To compute the probability of Normal distribution it is better to first convert the raw score (X) to z-scores.

Compute the probability that an American consumes between 8.8 and 9.9 grams of sodium per day as follows:

$P(8.8$

$=P(-1.25$

Thus, the probability that an American consumes between 8.8 and 9.9 grams of sodium per day is 0.4461.

(c)

The probability representing the middle 30% of American men consuming sodium between two weights is:

$P(x_{1}$

Compute the value of z as follows:

$P(-z$

The value of z for P (Z < z) = 0.65 is 0.39.

Compute the value of x₁ and x₂ as follows:

$-z=\frac{x_{1}-\mu}{\sigma}\\-0.39=\frac{x_{1}-9.8}{0.8}\\x_{1}=9.8-(0.39\times 0.8)\\x_{1}=9.488\\x_{1}\approx9.5$ $z=\frac{x_{2}-\mu}{\sigma}\\0.39=\frac{x_{1}-9.8}{0.8}\\x_{1}=9.8+(0.39\times 0.8)\\x_{1}=10.112\\x_{1}\approx10.1$

Thus, the middle 30% of American men consume between 9.5 grams to 10.1 grams of sodium.

4 0

2 years ago