A spinner numbered 1 through 10 is spun 3 times.

Please help! Please explain and actually help!

stealth61 [152]

Answer:

17

Step-by-step explanation:

According to the Pythagorean theorem, $a^2+b^2=c^2$ , where a and b are the two legs of a right triangle, and c is the hypotenuse. In this scenario, the two legs are 8 and 15, and we are asked to find the hypotenuse. Plugging the two values in, we have $64+225=c^2$ , where 64 is 8 squared and 225 is 15 squared. Adding, we have the two values as 289. If you don't know your squares, I suggest you take a look at a list or even memorize your squares until 30, but 289 is actually 17 squared. If $c^2=289$ , then c = $\sqrt{289}$ , which is 17.

7 0

3 years ago

Read 2 more answers

The amount of time all students in a very large undergraduate statistics course take to complete an examination is distributed c

Anestetic [448]

Answer:

a) The mean is $\mu = 60$

b) The standard deviation is $\sigma = 9$

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The probability a student selected at random takes at least 55.50 minutes to complete the examination equals 0.6915.

This means that when X = 55.5, Z has a pvalue of 1 - 0.6915 = 0.3085. This means that when $X = 55.5, Z = -0.5$

So

$Z = \frac{X - \mu}{\sigma}$

$-0.5 = \frac{55.5 - \mu}{\sigma}$

$-0.5\sigma = 55.5 - \mu$

$\mu = 55.5 + 0.5\sigma$

The probability a student selected at random takes no more than 71.52 minutes to complete the examination equals 0.8997.

This means that when X = 71.52, Z has a pvalue of 0.8997. This means that when $X = 71.52, Z = 1.28$

So

$Z = \frac{X - \mu}{\sigma}$

$1.28 = \frac{71.52 - \mu}{\sigma}$

$1.28\sigma = 71.52 - \mu$

$\mu = 71.52 - 1.28\sigma$

Since we also have that $\mu = 55.5 + 0.5\sigma$

$55.5 + 0.5\sigma = 71.52 - 1.28\sigma$

$1.78\sigma = 71.52 - 55.5$

$\sigma = \frac{(71.52 - 55.5)}{1.78}$

$\sigma = 9$

$\mu = 55.5 + 0.5\sigma = 55.5 + 0.5*9 = 55.5 + 4.5 = 60$

Question

The mean is $\mu = 60$

The standard deviation is $\sigma = 9$

6 0

3 years ago

The depths of three different submarines are listed below. Which of the following statements are true? Choose all that apply.

AnnZ [28]

The correct answer choices are B and C.

Here is the way these numbers would fall on a vertical number line justifying why these 2 answers are correct.

-1500 A
-1600
-1700
-1800
-1900 B
-2000
-2100
-2200
-2300 C

You can see where each of these submarines is located. 0 is sea level.

7 0

3 years ago

Hi community!<br> What is the value of this equation?<br> 25 - x ÷ 7 = ?

Dmitry_Shevchenko [17]

3.5 would be the answer

5 0

2 years ago

ANSWER QUICK AND EXPLAIN HOW TO SOLVE

blsea [12.9K]

$\cfrac{a}{sinA}= \cfrac{b}{sinB} \ \ \to \\ sinB= \cfrac{b*sinA}{a} = \cfrac{14*sin35^o}{12}= 0.6692 \ \ \to \ m \angle B=42^o \\ \\ \\ m \angle C=180- m \angle A- m \angle B=180-35-42=103^o \\ \\ \\ \cfrac{a}{sinA}= \cfrac{c}{sinC} \ \ \to \ c= \cfrac{a*sinC}{sinA}= \cfrac{12*sin103^o}{sin35^o} \approx 20.4$

6 0

4 years ago