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3 years ago

Please answer all for 50 points and show the answers thank you

Mathematics

1 answer:

melamori03 [73]3 years ago

6 0

What do you need help with? it helps us to know the question!

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A professor records the difference between the marks scored by the students in the class test last week and those scored in the

dezoksy [38]

Answer: $(10.82\ , 13.18)$

Step-by-step explanation:

The confidence interval for population mean is given by :-

$\mu\pm\ z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size : n= 35 , large sample (n>30)

Mean difference : $\overline{x}=12$

Standard deviation : $\sigma=3$

Significance level : $\alpha=- 1-0.999=0.001$

Critical value : $z_{\alpha/2}=z_{0.0005}=3.4807567$

Now, the 99.9% confidence interval for the mean difference between the marks scored last week and marks scored this week by all the students will be :-

$12\pm\ (3.4807567)\dfrac{2}{\sqrt{35}}\\\\=12\pm1.18\\\\=(10.82\ , 13.18)$

Hence, the 99.9% confidence interval for the mean difference between the marks scored last week and marks scored this week by all the students = $(10.82\ , 13.18)$

4 0

3 years ago

What is the standard form of function f?

Tomtit [17]

Answer:

A = 4; B = -1 ; C = -29

Step-by-step explanation:

y = 4(x + 6) + 5

y = 4x + 24 +5

y = 4x + 29

Standard form: Ax + By = C

4x - y = -29

8 0

3 years ago

What is 5y=2x+3 in standard form ?

tatiyna

the answer in standard form is 2x -5y = -3

4 0

3 years ago

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 108.7-cm and a standard dev

Luden [163]

Let x be the lengths of the steel rods and X ~ N (108.7, 0.6)

To get the probability of less than 109.1 cm, the solution is computed by:

z (109.1) = (X-mean)/standard dev

= 109.1 – 108/ 0.6

= 1.1/0.6

=1.83333, look this up in the z table.

P(x < 109.1) = P(z < 1.8333) = 0.97 or 97%

3 0

3 years ago

The sum of two numbers is 136 one number is 51 what is the other number? What are the common factors of these two numbers?

Rom4ik [11]

The sum of two numbers is 136 (sum is what you get when you add two numbers together). If one of the two numbers is 51, and the other number is X, then:

X + 51 = 136

To solve for x we subtract both sides by 51.

X + 51 -51 = 136 - 51
X = 85

The other number is 85.

What are the common factors of these two numbers?
Factors are the numbers that multiply to make the product.

Factors of 51: 1, 51, 3, 17
Factors of 85: 1, 85, 5, 17

5 0

3 years ago