Answer:
15/64
Step-by-step explanation:
3 blue
5 red marbles.
since the marble is put back in, the denominator will not change,
so to draw ONE marble, the chances would be
chances of picking a blue marble 3/8
chances of picking a red marble 5/8
3/8 * 5/8 - 15/64
please mark me brainly.
Answer:
$100 per month
Step-by-step explanation:
The slope is <em>up 1, left 1</em>.
Answer:
Yes, there is enough evidence to say the proportions are the same.
Step-by-step explanation:
Null hypothesis: The proportions are the same.
Alternate hypothesis: The proportions are not the same.
Data given:
p1 = 51% = 0.51
n1 = 200
p2 = 48% = 0.48
n2 = 150
pooled proportion (p) = (n1p1 + n2p2) ÷ (n1 + n2) = (200×0.51 + 150×0.48) ÷ (200 + 150) = 174 ÷ 350 = 0.497
Test statistic (z) = (p1 - p2) ÷ sqrt[p(1-p)(1/n1 + 1/n2) = (0.51 - 0.48) ÷ sqrt[0.497(1-0.497)(1/200 + 1/150)] = 0.03 ÷ 0.054 = 0.556
The test is a two-tailed test. At 0.10 significance level the critical values -1.645 and 1.645
Conclusion:
Fail to reject the null hypothesis because the test statistic 0.556 falls within the region bounded by the critical values.
Answer:
Step-by-step explanation:
If they are working alone
Jim does of the job in 1 hour= of work
John does of the job in 1 hour= of work
Let x be the number of hours to do the job if they work together.
Thus, each hour, they do of the job when they work together.
According to the question,
∴ The number of hours to do the job if they work together=
Answer:
the length = 18 feet and width = 9 feet
Step-by-step explanation:
Step 1:
Assume
Length of the rectangle = b
Width of the rectangle = a
Step 2:
As mentioned in the question length is double the width therefore;
b = 2*a
Step 3:
as mentioned in the question James need total 54 feet to cover the pool that means the perimeter of the pool is 54 feet therefore perimeter formula can be used as follows;
P = 2a + 2b
54 = 2a +2(2a) <equation from step 2 has been used for b>
54 = 2a + 4a
54 = 6a
a = 54/6
<u>a = 9 feet</u>
Step 4:
Now again use equation from step b to find out the length;
b =2a
take value of a from step 3
b = 2*9
<u>b = 18 feet</u>