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ValentinkaMS [17]
3 years ago
8

What is 2.475 as a fration in its lowest form?

Mathematics
2 answers:
Anon25 [30]3 years ago
7 0
First you express it as a fraction so that would be 2475/1000 which can be simplified to 99/40






Shtirlitz [24]3 years ago
7 0
I hope this help you. 

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If there is no seasonal effect on human births, we would expect equal numbers of children to be born in each season (winter, spr
Minchanka [31]

Answer:

Step-by-step explanation:

Hello!

Given the variable of interest:

X: Number of births in each season of the year, categorized: W: Winter, Sp: Spring, Su: Summer and F: Fall

The objective is to test if there is no seasonal effect on human births. If this is true, then you would expect the proportion of births to be the same through all seasons. This means that, theoretically, you could expect that P(W)=P(Sp)=P(Su)=P(F)=1/4

To test this out a student made a census in her class and obtained the following observations:

n= 120 students surveyed

25 were born in Winter

35 were born in Spring

32 were born in Summer

28 were born in Fall

The appropriate statistic analysis to test the student's presumption is a Goodness to Fit Chi-Square test, with hypotheses:

H_{0}: P_{W}=P_{Sp}=P_{Su}=P_{F}=1/4

H₁: At least one of the proportions is different from the others.

a) To calculate the expected frequency for each category you have to use the following formula Ei= n*Pi

Where Pi represents the expected proportion for the i-category.

In this particular case, the expected proportion for all categories is the same so the expected frequency will also be the same:

E_{W}= n*P_{W}= 120*1/4= 30\\E_{Sp}= n*P_{Sp}= 120*1/4=30\\E_{Su}= n*P_{Su}= 120*1/4=30\\E_{F}= n*P_{F}= 120*1/4=30

b)

X²=∑\frac{(Oi-Ei)^2}{Ei}~X^2_{k-1}

X^2_{H_0}= \frac{(25-30)^2}{30} + \frac{(35-30)^2}{30} + \frac{(32-30)^2}{30} + \frac{(28-30)^2}{30} = 1.93

c)

The statistic for this test has k-1 degrees of freedom, where k represents the number of categories of the variable. In this case, the statistic has 4-1=3 degrees of freedom.

d)

The rejection region for the Goodnes to Fit test is <u>always</u> one-tailed to the right, wich means that you'll reject the null hypothesis to big values of X²:

X^2_{k-1;1-\alpha }= X^2_{3;0.95}= 7.815

The decision rule is:

If X^2_{H_0} ≥ 7.815, reject the null hypothesis

If X^2_{H_0} < 7.815, do not reject the null hypothesis

e)

X^2_{H_0}= 1.93 is less than the critical value 7.815, so the decision is to not reject the null hypothesis.

Using a 5% level of significance, there is no significant evidence to reject the null hypothesis. Then you can conclude that there is no seasonal effect on human birth, i.e. the expected birth proportions are the same through all seasons.

I hope this helps!

5 0
3 years ago
Three students had $12.00 total and went to a snack bar where their bill was $8.57. They want to share equally the money that is
tamaranim1 [39]

Answer:

1.14

Step-by-step explanation:

Start=12.00

Change= 8.57

Finish= 3.43 ( 12.00-8.57)

Divide finish by 3 3.43/3= 1.14

there will be a remainder of 1 cent unless you wanna be technical it wold be

1.14333333333

8 0
3 years ago
I need help with numbers 9&amp;10
Crank
9.) <span>1/2(4x-6)=11
</span>Multiply 4 and -6 by 1/2
2x-3=11
Add 3 to both sides
2x=14
Divide 14 by 2
Final Answer: x=7

10.) 2/3(6x-9)=-34
Multiply 6 and -9 by 2/3
4x-6=-34
Add 6 to both sides
4x=-34
Divide -34 by 4
Final Answer: x=-8.5
4 0
3 years ago
Read 2 more answers
Are these answers correct if not
iren2701 [21]

1. <u>Correct</u>

2. <u>Incorrect</u>, answer is x ≤ -4.25   This is because the line goes to the left so it is less than or equal to.

3. <u>Incorrect</u>, the answer is the choice at the top, because it is greater than, it goes to the right and has a empty circle.

4. <u>Incorrect</u>, the answer is the choice at the bottom cuz it is greater than or equal to so the line goes to the right and the circle is filled in.

Hope that helps u!!

8 0
3 years ago
How do I compare numerical expressions without calculating them
jenyasd209 [6]
Try to calculate them in your head and if that doesn't help use a calculator. I hope this helps
6 0
3 years ago
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