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shusha [124]
3 years ago
9

(There's three parts of this)

Mathematics
1 answer:
krok68 [10]3 years ago
6 0

Answer:

1. pie chart

2. bar graph

3. they both show the amount of kids with the same letters compared to the others.

if you still don't understand something please ask. always happy to help :)

Step-by-step explanation:

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Preliminary data analyses indicate that it is reasonable to use a t-test to carry out the specified hypothesis test. Perform the
Readme [11.4K]
<h2>Answer with explanation:</h2>

By considering the given information, we have

Null hypothesis : H_0: \mu=35.0

Alternative hypothesis : H_1: \mu\neq35.0

Since the alternative hypothesis is two-tailed , so the test is a two-tailed test.

Given : Sample size : n= 20, since sample size is less than 30 so the test applied is a t-test.

\overline{x}=41.0    ;    \sigma= 3.7

Test statistic : t=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

i.e. t=\dfrac{41.0-35.0}{\dfrac{3.7}{\sqrt{20}}}=7.252112359\approx7.25

Degree of freedom : n-1 = 20-1=19

Significance level = 0.01

For two tailed,  Significance level =\dfrac{0.01}{2}=0.005

By using the t-distribution table, the critical value of t =t_{19, 0.005}=2.861

Since , the observed t-value (7.25) is greater than the critical value (2.861) .

So we reject the null hypothesis, it means we have enough evidence to support the alternative hypothesis.

We conclude that there is some significance difference between the mean score for sober women and 35.0.

3 0
3 years ago
Which of the following is the best description for this pair of angles?
hjlf

Answer:

Supplementary

Step-by-step explanation:

Supplementary angles add to 180 degrees.

6 0
3 years ago
Read 2 more answers
What is the circumference of circle p? Express your answer in terms of π (pi).
patriot [66]
Whats the radius
of the circumfrence
3 0
3 years ago
Read 2 more answers
Find the opposite of: - 4x2 - 4x + 2
vladimir2022 [97]

Answer:

4x² + 4x - 2

Step-by-step explanation:

The opposite is the negative value

The opposite of - 4x² - 4x + 2 is

- (- 4x² - 4x + 2) ← distribute parenthesis by - 1

= 4x² + 4x - 2

8 0
2 years ago
Let f(x, y) = (x + y)e x 2−y 2 and R be the rectangle enclosed by the lines x − y = 0, x − y = 2, x + y = 0, and x + y = 3.
dalvyx [7]

Answer:

(1/4)*(e⁶ - 7)

Step-by-step explanation:

a) Given

x − y = 0  if  x = 0  ⇒  y = 0

x − y = 2  if  x = 0  ⇒  y = -2;  if  y = 0   ⇒  x = 2

x + y = 0  if  x = 0   ⇒  y = 0

x + y = 3  if  x = 0  ⇒  y = 3;  if  y = 0   ⇒  x = 3

then we show the region R in the pics 1 and 2.

b) We make the change of variables as follows

u = x + y

v= x - y

If

x - y = 0  ⇒ v = 0

x − y = 2  ⇒ v = 2

x + y = 0  ⇒ u = 0

x + y = 3  ⇒ u = 3

Where u is the horizontal axis and v is the vertical axis, the new region S is shown in the pic 3.

c) We evaluate ∫∫R (x + y)*e∧(x² - y²)dA

The procedure is shown in the pic 4, where we have to calculate the Jacobian in order to use it to get the answer.

7 0
3 years ago
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