Answer:
Candice ran 1/6 of a lap further than Chris.
Step-by-step explanation:
we know that
To find out how much further Candice runs than Chris, subtract the distance Chris runs from the distance Candice runs
so

therefore
Candice ran 1/6 of a lap further than Chris.
There are 39 boys.
First you divide 4 into 52 because there are 3 boys for 4 girls.
Then you take the quotient, 13, and multiply by 3.
Answer:
And replacing we got:
And the confidence interval for the difference of means would be given by:

Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
We have the following data given:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 93% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The confidence interval is given by:
And replacing we got:
And the confidence interval for the difference of means would be given by:

Answer:
12. B
13 A
18 B
19 B
Step-by-step explanation:
12. The solutions of the quadratic is the roots, so 0 = x^2 -7x -30 = (x-10)(x+3). For this to be satisfied, either x-10 = 0 -> x = 10 and x + 3 = 0 -> x = -3
13. Either x = 0 or x+8 = 0 -> x =-8 for this to be true
18. The GCF of 2, 6, and 20 is 2. No other number satisfies being a common factor.
19. The product of the solutions of the equation is the (constant/leading coefficient) in the quadratic, which is -8/1 = -8
I hope this helps! :)
Answer:
Step-by-step explanation:
9 - 3¾ - 2⅞ = 3⅜
He gave his grandmother 3⅜ pounds of apples.