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Wewaii [24]
3 years ago
6

Which of the following lines is perpendicular to the line Y = 3x -4

Mathematics
1 answer:
andriy [413]3 years ago
6 0

Answer:

D.

Step-by-step explanation:

When a line is perpendicular to another, their slopes will be opposite reciprocal. For example, 1 would be -1, -3 would be \frac{1}{3} , and \frac{5}{1} would be -5. The equation is written in slope-intercept form:

y=mx+b

m is the slope, so find the equation with the opposite reciprocal of 3, -\frac{1}{3}:

y=-\frac{1}{3} x+4 is the only option with the correct slope, so the answer is D.

You might be interested in
Which of the following expressions are equivalent to 6.53−(−4.11)+7.92
zavuch27 [327]

Answer:

C -(-6.53)+4.11-(-7.92)−(−6.53 )+4.11−(−7.92)minus, left parenthesis, minus, 6, point, ...

Answer: Choice B and Choise C.Step-by-step explanation: Equivalent expressions are those expressions that have the same value but they look different.

7 0
3 years ago
The scores of students on the ACT college entrance exam in a recent year had the normal distribution with mean  =18.6 and stand
Maurinko [17]

Answer:

a) 33% probability that a single student randomly chosen from all those taking the test scores 21 or higher.

b) 0.39% probability that the mean score for 76 students randomly selected from all who took the test nationally is 20.4 or higher

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are 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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 18.6, \sigma = 5.9

a) What is the probability that a single student randomly chosen from all those taking the test scores 21 or higher?

This is 1 subtracted by the pvalue of Z when X = 21. So

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

Z = \frac{21 - 18.6}{5.4}

Z = 0.44

Z = 0.44 has a pvalue of 0.67

1 - 0.67 = 0.33

33% probability that a single student randomly chosen from all those taking the test scores 21 or higher.

b) The average score of the 76 students at Northside High who took the test was x =20.4. What is the probability that the mean score for 76 students randomly selected from all who took the test nationally is 20.4 or higher?

Now we have n = 76, s = \frac{5.9}{\sqrt{76}} = 0.6768

This probability is 1 subtracted by the pvalue of Z when X = 20.4. So

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{20.4 - 18.6}{0.6768}

Z = 2.66

Z = 2.66 has a pvalue of 0.9961

1 - 0.9961 = 0.0039

0.39% probability that the mean score for 76 students randomly selected from all who took the test nationally is 20.4 or higher

4 0
3 years ago
If 5x + 2 = 7x - 7, then x =
Oduvanchick [21]

Answer:

if 5x + 2 = 7x - 7 then the answer is x = 9/2.

3 0
1 year ago
Read 2 more answers
Question 4. In the graph, lines f and g intersect at P(6,6). What is the area, in square units, of the shaded region? * E. 15 F.
erastova [34]

Answer:

E

Step-by-step explanation:

i guess the dotted lines outline a square

so get the area of the square which is 6×6=36

then don't focus on the shaded part but unshaded you'll see two right angled triangles

a = 1 \div2b \times h

you will get a total for both as 21

then get the area of the square 36-21=15

so the area becomes 15

3 0
2 years ago
Thx to all that helped me!!! here is my last question
Leviafan [203]

Answer:

cousin: m-3

uncle: 5m

together: 6m-3

Step-by-step explanation:

if her cousin is 3 years younger, they would be m-3. since their uncle is her age times 5, he would be 5m. add those and you get 5m+m-3. combine the m's (and get 6m), then add the -3 to get 6m-3

4 0
2 years ago
Read 2 more answers
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