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3 years ago

(1,5) (2,9) what is the rate of change?

Mathematics

1 answer:

zepelin [54]3 years ago

7 0

Answer:

Step-by-step explanation:

Slope is rate of change. y 2 -y 1/x 2 - x 1

9-5/2-1

4/1

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Find the volume of a cube whose length is 5cm

Veronika [31]

Answer:

The answer is 125.

Step-by-step explanation:

The formula for volume of a cube is s^3, where s is the length of a side. (Weirdly, you cube a cube.)

So, when you cube 5, the answer is 125.

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3 years ago

Jalil plays hockey. When Jalil takes a shot on goal, the probability that he scores is . If Jalil takes 80 shots on goal in a se

lions [1.4K]

Answer:

its 60

Step-by-step explanation:

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4 years ago

Prove that (x^5)-(x^2)+2x +3=0 has at least one real root.

lutik1710 [3]

The first one is of order 5, so it has either 1, 3 or 5 real roots (unless any coefficent was complex). Proof complete :)
The other one, if it has a solution, it must be in [-1;1]. Because it only gives positive results the solution is further restricted to [0;1]. Because the cosine function is continuous and strictly decreasing on this interval, the difference of x and it's cosine will shrink up to some point within the interval where it gets to 0 (the solution) and then flips sign (the cosine gets less than the number), further decreasing until the end of the interval.

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3 years ago

Read 2 more answers

Jose earns extra money, m, working two weekends with his dad. He is saving to buy a new pair of skis that cost $147. Fantasia sa

Olegator [25]

Answer:

where is her work?

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maybe you forgot to put the pic

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2 years ago

within a kiambu county,students were randomly assigned to one of two mathematics teachers.Mrs.Elite and Mrs. Bright. After the a

DerKrebs [107]

Using the t-distribution, as we have the standard deviation for the samples, it is found that since the absolute value of the test statistic is greater than the critical value, we reject the claim that Mrs.Elite and Mrs. Bright are equally effective teachers.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, we test if they are equally effective teachers, that is, the subtraction of their means is 0, hence:

$H_0: \mu_1 - \mu_2 = 0$

At the alternative hypothesis, we test if they are not equally effective teachers, that is, the subtraction of their means is not 0, hence:

$H_1: \mu_1 - \mu_2 \neq 0$

<h3>What is the distribution of the differences?</h3>

For Mrs. Elite, we have that:

$\mu_1 = 78, \sigma_1 = 10, n_1 = 30, s_1 = \frac{10}{\sqrt{30}} = 1.82574$

For Mrs. Bright, we have that:

$\mu_2 = 85, \sigma_2 = 15, n_2 = 25, s_2 = \frac{15}{\sqrt{25}} = 3$

For the distribution of differences, we have that:

$\overline{x} = \mu_1 - \mu_2 = 78 - 85 = -7$

$s = \sqrt{s_1^2 + s_2^2} = \sqrt{1.82574^2 + 3^2} = 3.5119$

<h3>What is the test statistic?</h3>

The test statistic is given by:

$t = \frac{\overline{x} - \mu}{s}$

In which $\mu = 0$ is the value tested at the null hypothesis.

Hence:

$t = \frac{\overline{x} - \mu}{s}$

$t = \frac{-7 - 0}{3.5119}$

$t = -1.99$

Considering a<em> two-tailed test</em>, as we are testing if the mean is different of a value, with 30 + 25 - 2 = <em>53 df and a significance level of 0.1</em>, the critical value is of $|t^{\ast}| = 1.6741$ .

Since the absolute value of the test statistic is greater than the critical value, we reject the claim that Mrs.Elite and Mrs. Bright are equally effective teachers.

To learn more about the t-distribution, you can take a look at brainly.com/question/13873630

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3 years ago