Answer:
We can predict that the spinner will possible land on the green or blue 8 out of 12 times, or 66% of the time.
Step-by-step explanation:
First of all, we need to calculate the percentage of the spinner that is both green and blue.
There are a total of 12 sections on the spinner.
6 out of 12 of the sections are green. 6/12 = 0.5 or a 50% change
2 out of 12 of the secions are blue. 2/12 = 0.16 or a 16% change
3 out of 12 of the sections are pink. 3/12 = 0.25 or a 25% chance
1 out of 12 sections are yellow. 1/12 = 0.08 or a 8% chance
Athough I provided the percantages for each color, all we really need is the data for the green and blue.
0.5 + 0.16 = 0.66
12 x 0.66 = 7.92 or 8 when rounded to the nearest whole number
Therefore, we can predict that the spinner will possible land on the green or blue 8 out of 12 times, or 66% of the time.
Hope this helps! Have a blessed day! :)
At 13% significance level, there isn't enough evidence to prove the administrators to claim that the mean score for the state's eighth graders on this exam is more than 280.
<h3>How to state hypothesis conclusion?</h3>
We are given;
Sample size; n = 78
population standard deviation σ = 37
Sample Mean; x' = 280
Population mean; μ = 287
The school administrator declares that mean score is more (bigger than) 280. Thus, the hypotheses is stated as;
Null hypothesis; H₀: μ > 280
Alternative hypothesis; Hₐ: μ < 280
This is a one tail test with significance level of α = 0.13
From online tables, the critical value at α = 0.13 is z(c) = -1.13
b) Formula for the test statistic is;
z = (x- μ)/(σ/√n)
z = ((280 - 287) *√78 )/37
z = -1.67
c) From online p-value from z-score calculator, we have;
P[ z > 280 ] = 0.048
d) The value for z = -1.67 is smaller than the critical value mentioned in problem statement z(c) = - 1.13 , the z(s) is in the rejection zone. Therefore we reject H₀
e) We conclude that at 13% significance level, there isn't enough evidence to prove the administrators to claim that the mean score for the state's eighth graders on this exam is more than 280.
Read more about Hypothesis Conclusion at; brainly.com/question/15980493
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Given length of the garden = 35 feet
Given width of the garden = 15 feet
Let's assume the walkway has a width of x feet.
The figure of the garden with walkway is attached below.
Length of walkway= 
Width of walkway = 
Area of walkway = length of walkway * width of walkway
Area = 
Area = 
Area = 
.... Answer
Answer:
52.
Step-by-step explanation:
shaded = (3²) + (2²)
shaded = 9 + 4
shaded = 13
Unshaded = (3 x 2) + (2 x 3)
Unshaded = 6 + 6
Unshaded = 12
All = 12 + 13
All = 25
100 / 25 = 4
4 x 13 = 26 x 2
26 x 2 = 52.
