Ask question

Ask question

All categories

3 years ago

11

A two congruent sides of an isosceles triangle each measure 3b^2 + 2 centimeters the third side measure 4b-5 centimeters what is

the perimeter in centimeters of this triangle????

1 answer:

REY [17]3 years ago

3 0

You need to add (3b^2+2)+(3b^2+2)+(4b-5). This should equal to 6b^2+4b-1.

You might be interested in

A researcher is concerned about the impact of students working while they are enrolled in classes, and she likes to know if stud

8_murik_8 [283]

Answer:

(a) Point estimate = 7.10

(b) The critical value is 1.960

(c) Margin of error = 0.800

(d) Confidence Interval = (6.3, 7.9)

(e) We are 90% confident that the average number of hours worked by the students is between 6.3 and 7.9

Step-by-step explanation:

Given

$\bar x = 7.10$ -- sample mean

$\sigma=5$ --- sample standard deviation

$n = 150$ --- samples

Solving (a): The point estimate

The sample mean can be used as the point estimate.

Hence, the point estimate is 7.10

Solving (b): The critical value

We have:

$CI = 90\%$ --- the confidence interval

Calculate the $\alpha$ level

$\alpha = 1 - CI$

$\alpha = 1 - 90\%$

$\alpha = 1 - 0.90$

$\alpha = 0.10$

Divide by 2

$\frac{\alpha}{2} = 0.10/2$

$\frac{\alpha}{2} = 0.05$

Subtract from 1

$1 - \frac{\alpha}{2} = 1 - 0.05$

$1 - \frac{\alpha}{2} = 0.95$

From the z table. the critical value for $1 - \frac{\alpha}{2} = 0.95$ is:

$z = 1.960$

Solving (c): Margin of error

This is calculated as:

$E = z * \frac{\sigma}{\sqrt n}$

$E = 1.960 * \frac{5}{\sqrt {150}}$

$E = 1.960 * \frac{5}{12.25}$

$E = \frac{1.960 *5}{12.25}$

$E = \frac{9.80}{12.25}$

$E = 0.800$

Solving (d): The confidence interval

This is calculated as:

$CI = (\bar x - E, \bar x + E)$

$CI = (7.10 - 0.800, 7.10 + 0.800)$

$CI = (6.3, 7.9)$

Solving (d): The conclusion

We are 90% confident that the average number of hours worked by the students is between 6.3 and 7.9

6 0

3 years ago

the map distance between A and B is 15 cm the scale of the map is 1 cm is 7 km what is the ground distance

Afina-wow [57]

Answer:

105 km

Step-by-step explanation:

so, 1 cm on the map is 7 km in real life.

15 cm is 15 times 1 cm

so, the real life distance is 15×7 = 105 km

3 0

3 years ago

Perry designed the murals by drawing small sketches first. His sketch for a mural measures 5 inches wide by 7 in. tall. If he wa

Harlamova29_29 [7]

Answer:

90

Step-by-step explanation:

5 0

3 years ago

Will Mark Brainlest helppp plss

bearhunter [10]

Answer:

? hey your question is not full at all

7 0

3 years ago

What is 0.31 written as a percent?

aalyn [17]

It is 31%.

To explain, you have to just have to multiply 0.31 by 100, and then add a percentage sign.

7 0

3 years ago

Read 2 more answers