Student take an average of 45 minutes and standard deviation of 8 minutes to complete a certain statistics test. If a student is selected at random, what is the probability that the student takes more than 56 minutes to compete the test?

Answers

Answer 1

Answer: A standard normal table can be used to estimate what part of a normal distribution will fall within a certain range, given the number of standard deviations (or Z-Score) from the mean. 56 minutes is 11 minutes from 45, and the standard deviation is 8, so the Z-Score is 11/8 = 1.375. The lookup table gives 8.5% complementary probability (greater than the given number of standard deviations) for 1.37 and 8.4% for 1.38. Checking a graph, the part of the curve above 1.375 standard deviations should be somewhere between 5 and 10%, so this seems reasonable.

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What is the reciprocal of 2/5

Answers

The reciprocal would be 5/2.

5/2 in decimal form 2.5

In a right triangle, the measure of one acute angle is 26°. What is the measure of the other acute angle?

Answers

The answer is 64 degrees

Identify the independent and dependent variables. The number of campers decreased, so fewer counselors are needed.

A.
The independent variable is number of counselors and the dependant variable is number of campers.

B.
The independent variable is number of campers and the dependant variable is number of counselors.

Answers

The numbers of campus decreased can't be controlled by other people so it's independent.

Therefore, your answer is B. The independent variable is number of campers and the dependent variable is number of counselors.

Simplify 5 + 2{x - 4[3x + 7(2 - x)]}.
-34x - 107
34x - 107
34x + 107

Answers

$5 + 2(x - 4[3x + 7(2-x)]) \n \n 5 + 2(x - 4(3x + 14-7x)) \n \n 5 + 2(x - 4((3x - 7x) + 14)) \n \n 5 + 2(x - 4(-4x + 14)) \n \n 5 + 2(x + 16x - 56) \n \n 5 + 2(17x - 56) \n \n 5 + 34x = 112 \n \n 34x - 107 \n \n Answer: \fbox {34x - 107}$

Answer:

b) 34x - 107

Step-by-step explanation:

(-5)-6 find the different

Answers

Answer:

-11

Step-by-step explanation:

−5−6

=−5−6

=−5+−6

=−11

Hope this Helps!

Lisa is standing on a dock beside a lake. She drops a rock from her hand into the lake. After the rock hits the surface of the lake, the rock's distance from the lake's surface changes at a rate of -5 inches per second. If lisa holds her hand 5 feet above the lake's surface, how far from Lisa's hand is the rock 4 seconds after it hits the surface? Please show how you arrive at your answer

Answers

well, it goes 5 inches per second so after 4 seconds it is 4 times 5 =20 inches under the surface, add that to 5 feet and you get 6 ft and 8 inches

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