1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ivann1987 [24]
2 years ago
12

10.

Mathematics
1 answer:
yan [13]2 years ago
7 0

Answer:

D. y = -5^x – 27

Step-by-step explanation:

Find the negative reciprocal of the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )  to find the line perpendicular to  − x + 5 y = 14 .

y = − 5 x − 27                         PERPENDICULAAR

...................................................................................................................................................

Find the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )  to find the line parallel to  − x + 5 y = 14 .

y = 1 /5 x − 1                             PARALLEL

You might be interested in
Sailors traditionally measure speed in knots or nautical miles per hour . A nautical mile is based on the circumfrance of earth
sergejj [24]

Answer:

25.31 Feet per second

Step-by-step explanation:

7 0
2 years ago
Arrange the following in ascending order: 0.1 , 0.36 , 4 and 0.72​
zysi [14]

Answer:

0.1, 0.36, 0.72, 4

Step-by-step explanation:

3 0
2 years ago
What number could replace kkk below? \dfrac{k}{100} = \dfrac{1}{10} 100 k ​ = 10 1 ​ start fraction, k, divided by, 100, end fra
Ivanshal [37]

Answer:

<h3>k = 10</h3>

Step-by-step explanation:

Given the equation;

\dfrac{k}{100} = \dfrac{1}{10}

We are to find the value of k.

Cross multiply;

\dfrac{k}{100} = \dfrac{1}{10} \\10 \times k = 100 \times 1\\10k = 100\\

Divide both sides by 10

10k/10 = 100/10\\k = 10

Hence the value of k is 10

6 0
2 years ago
Please answer this correctly
Sav [38]

Answer:

The range would not change

Step-by-step explanation:

If we replaced one of the 7s with a 5, we still have a 7. The range will be the highest number minus the lowest number (7 - 1 = 6). So the range would still not change because we still have another 7.

6 0
3 years ago
The probability that your call to a service line is answered in less than 30 seconds is 0.75. Assume that your calls are indepen
vfiekz [6]

Answer:

a) 0.2581

b) 0.4148

c) 17

Step-by-step explanation:

For each call, there are only two possible outcomes. Either they are answered in less than 30 seconds. Or they are not. The probabilities for each call are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

p = 0.75

a. If you call 12 times, what is the probability that exactly 9 of your calls are answered within 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is P(X = 9) when n = 12. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 9) = C_{12,9}.(0.75)^{9}.(0.25)^{3} = 0.2581

b. If you call 20 times, what is the probability that at least 16 calls are answered in less than 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is P(X \geq 16) when n = 20

So

P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 16) = C_{20,16}.(0.75)^{16}.(0.25)^{4} = 0.1897

P(X = 17) = C_{20,17}.(0.75)^{17}.(0.25)^{3} = 0.1339

P(X = 18) = C_{20,18}.(0.75)^{18}.(0.25)^{2} = 0.0669

P(X = 19) = C_{20,19}.(0.75)^{19}.(0.25)^{1} = 0.0211

P(X = 20) = C_{20,20}.(0.75)^{20}.(0.25)^{0} = 0.0032

So

P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.1897 + 0.1339 + 0.0669 + 0.0211 + 0.0032 = 0.4148

c. If you call 22 times, what is the mean number of calls that are answered in less than 30 seconds? Round your answer to the nearest integer.

The expected value of the binomial distribution is:

E(X) = np

In this question, we have n = 22

So

E(X) = 22*0.75 = 16.5

The closest integer to 16.5 is 17.

7 0
3 years ago
Other questions:
  • 33 is 50% of what number ?
    13·2 answers
  • Mrs Rahlee bought 300 yards of ribbon to make flowers. She used 1.22 yards to make one large flower. She made 200 such large flo
    9·2 answers
  • if harry has a line segment at (-5,3) and (5,3) what will be the new points if it is moved 3 units down and 4 units to the left
    9·2 answers
  • Emma is solving 16-8*=4(*+6) what should be her first step?
    7·1 answer
  • A number is multipled by 5, and then 3 is subtracted from the product. The result is 12
    15·2 answers
  • Systems of equations<br> y=2x+3<br> y=-x-9
    5·2 answers
  • Write an equation in slope-intercept form for the line that passes through (0, 1) and (2, 5)
    14·1 answer
  • Which equation describes the line that has a slope of –2 and passes through the point (1,3)?
    8·2 answers
  • In ΔSTU, s = 50 inches, t = 58 inches and u=27 inches. Find the measure of ∠S to the nearest 10th of a degree.
    6·2 answers
  • Help me please,,,,,,,​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!