MATHEMATICS COLLEGE

What is $45.79 multiplied by .50 equal

Answers

Answer 1

Answer:

Answer:

$45.79 multiplied by .50 equals 22.895

Answer 2

Answer:

Answer:

686.85

Step-by-step explanation:

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(-x^3-x) +(6x^2+6x-7)=(−x 3−x)+(6x 2+6x−7)=
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Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi = 3.14 in any formulas used.

A psychologist designed a new aptitude exam to measure logical and analytical thinking abilities. The time allowed for the exam is 60 minutes, and the exam is made up of 35 multiple choice questions. The psychologist expects that an examinee will spend an average of 1.66 minutes answering each question, with a standard deviation of 0.73 minutes. What proportion of examinees will complete the exam on time? Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places

Answers

Answer:

52.79% of examinees will complete the exam on time.

Step-by-step explanation:

Problems of normally distributed samples 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:

$Z = (X - \mu)/(\sigma)$

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.

In this problem, we have that:

There are 35 questions. The psychologist expects that an examinee will spend an average of 1.66 minutes answering each question, with a standard deviation of 0.73 minutes. This means that the mean and the standard deviation for the time to complete the test is $\mu = 35*1.66 = 58.1, \sigma = 35*0.73 = 25.55$ .

What proportion of examinees will complete the exam on time?

The time allowed for the exam is 60 minutes. So this proportion is the pvalue of Z when $X = 60$ . So:

$Z = (X - \mu)/(\sigma)$

$Z = (60 - 58.1)/(25.55)$

$Z = 0.07$

$Z = 0.07$ has a pvalue of 0.5279.

This means that 52.79% of examinees will complete the exam on time.

Solve by graphing

y+5 = 2x
3y + 6x = -3

Answers

Answer:

(1, -3)

Step-by-step explanation:

Use Desmos! It's really useful.

If C=X + 6 and D=3X -6 + 4x to the second power of 4x if an expression that equals C + 3D in standard form.

Answers

Answer:

3=3y4/i94 =78

Step-by-step explanation:

Find the GCF of the set of numbers 12 30

Answers

Answer:

D. 6

Step-by-step explanation:

GCF means greatest common factor, so if you test out all of the answers, the factors you come up with is 2 and 6. Since 6 is larger, that is your answer.

Answer: the answer is 6

Step-by-step explanation:

A bag contains 10 w h i t e marbles, 5 g r e e n marbles, 6 y e l l o w marbles. If two different marbles are drawn from the bag , what is the probability of drawing a w h i t e marble then a y e l l o w marble?

Answers

Answer:

1/7

Step-by-step explanation:

If a bag contains 10 white marbles, 5 green marbles, 6 yellow marbles and two marbles are drawn at random, the probability of picking a white marble and then a yellow marble means a white marble was picked first and then followed by yellow marble.

Note that the white marble that was picked first was not replaced. This is a probability question without replacement.

Probability of an event = possible outcome of event/Total outcome of event

Total outcome = total number of marbles = 10+5+6 = 21marbles

If a white marble is selected first, the probability of selecting a white marble will be 10/21.

Since the white ball wasn't replaced, the new total number of marbles will become 21-1 = 20marbles

If yellow marble was then selected out of this 20 marbles remaining, the probability of selecting the yellow marble will be 6/20 {since there are 6yellow marbles}

The probability of drawing a white marble and then a yellow marble will then give us;

10/21×6/20

= 60/420

= 6/42

= 1/7(in its simplified form)

Write the slope-intercept form of the equation of the line
2x + 3y = 18