Ask question

Ask question

All categories

3 years ago

7

A small class has 10 students, 5 of whom are girls and 5 of whom are boys. The teacher is going to choose two of the students at

random. What is the probability that the teacher will choose two boys? Write your answer as a fraction in simplest form.

1 answer:

yKpoI14uk [10]3 years ago

7 0

There are 10 students so that is 2/10 which reduces down to 1/5

You might be interested in

A computer store buys a computer system at a cost of $370.80. The selling price was first at $ 618, but then the store adverti

Anestetic [448]

The current sale price would be $123.60.

20% of $618 is 123.6. So turn that into dollars and cents and you get $123.60

4 0

3 years ago

Data is collected to compare two different types of batteries. We measure the time to failure of 12 batteries of each type. Batt

-Dominant- [34]

Using the t-distribution, it is found that since the <u>test statistic is greater than the critical value for the right-tailed test</u>, it is found that there is enough evidence to conclude that Battery B outlasts Battery A by more than 2 hours.

At the null hypothesis, it is <u>tested if it does not outlast by more than 2 hours</u>, that is, the subtraction is not more than 2:

$H_0: \mu_B - mu_A \leq 2$

At the alternative hypothesis, it is <u>tested if it outlasts by more than 2 hours</u>, that is:

$H_1: \mu_B - \mu_A > 2$

The sample means are: $\mu_A = 8.65, \mu_B = 11.23$

The standard deviations for the samples are $s_A = s_B = 0.67$

Hence, the standard errors are:

$s_{Ea} = S_{Eb} = \frac{0.67}{\sqrt{12}} = 0.1934$

The distribution of the difference has <u>mean and standard deviation</u> given by:

$\overline{x} = \mu_B - \mu_A = 11.23 - 8.65 = 2.58$

$s = \sqrt{s_{Ea}^2 + s_{Eb}^2} = \sqrt{0.1934^2 + 0.1934^2} = 0.2735$

The test statistic is given by:

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

In which $\mu = 2$ is the value tested at the hypothesis.

Hence:

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

$t = \frac{2.58 - 2}{0.2735}$

$t = 2.12$

The critical value for a <u>right-tailed test</u>, as we are testing if the subtraction is greater than a value, with a <u>0.05 significance level</u> and 12 + 12 - 2 = <u>22 df</u> is given by $t^{\ast} = 1.71$

Since the <u>test statistic is greater than the critical value for the right-tailed test</u>, it is found that there is enough evidence to conclude that Battery B outlasts Battery A by more than 2 hours.

A similar problem is given at brainly.com/question/13873630

7 0

3 years ago

Determine wether or not each of the following sequences is a geometric sequence check all that apply

kap26 [50]

Answer:3 & 4

Step-by-step explanation: those are the two with multiplication/division

5 0

3 years ago

The sum of three consecutive integers is -206 . What is the largest integer?

solniwko [45]

Answer:

Can' possible......

Step-by-step explanation:

Let suppose the numbers are:

x

x + 1

x + 2

Now according to given condition:

x + x +1 + x+ 2 = -206

By adding we get:

3x + 3 = -206 Subtracting 3 from both sides:

3x + 3 - 3 = -206 -3

Both terms on right side have negative sign so we will add them. (answer will have negative sign.)

3x = -209

Dividing both sides by 3:

x = -209/3

x = -69.6666

that is not an integer so the question is wrong.

I hope it will help you!

8 0

3 years ago

Find the Constant of Proportionality from the table

eimsori [14]

Bye $2?3?3?4?4?4?4?4?!4$4$4&3&3!:??:?:$.!.!/!!/!3!3!3

7 0

3 years ago