X^2 +r^2 = (r+h)^2 re write as x^2 = h^2 + 2*Rh
h = 4.5r = 3959
x^2 = 4.5^2 + 2 *3959 * 4.5
x^2 = 20.25 + 35631
x^2 = 35651.25
x = sqrt(35651.25)
x = 188.8 miles

4 0

3 years ago

Alex has 25 stickers less than Anna. Anna has 42. How many stickers does Rodney have?

Blababa [14]

42-25=17. So Rodney has 17 stickers. :)

3 0

3 years ago

A psychology professor assigns letter grades on a test according to the following scheme. A: Top 7% of scores B: Scores below th

NISA [10]

Answer:

The minimum score required for an A grade is 89.8.

Step-by-step explanation:

We are given that a psychology professor assigns letter grades on a test according to the following scheme. A : Top 7% of scores. B : Scores below the top 7% and above the bottom 64%. C : Scores below the top 36% and above the bottom 25%. D : Scores below the top 75% and above the bottom 6%. F : Bottom 6% of scores.

Scores on the test are normally distributed with a mean of 78.4 and a standard deviation of 7.6.

Let X = Scores on the test

SO, X ~ Normal( $\mu=78.4,\sigma^{2} =7.6^{2}$ )

The z-score probability distribution for normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean time = 78.4

$\sigma$ = standard deviation = 7.6

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, the minimum score required for an A grade so that it represents Top 7% of scores is given by;

P(X $\geq$ x) = 0.07 {where x is the required minimum score