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Ksivusya [100]
3 years ago
7

Determine the slope of a line that is perpendicular to the line y = -2x + 7

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
5 0

Answer:

C)

Step-by-step explanation:

Perpendicular means negative reciprocal of the current slope.

And the negative reciprocal of -2 is 1/2.

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A school will offer pizza on Friday's if at least 30% of the students will buy it. A sample of 50 students asked if they would b
Whitepunk [10]

Answer:

0.0614

Step-by-step explanation:

Solution:-

- The school offers pizza on friday when at-least 30% students are willing to buy.

- The minimum required proportion of students, p = 30%

- A sample of n = 50 students were taken and out of the sample x = 10 people responded willing to buy pizza.

- We will denote a random variable X: the number of students willing to buy Pizza on fridays.

- For the sample of n = 50, for Pizza to be offered on friday the expected number of student who should opt for buying must be at-least:

           Expected ( Mean - u ) = n*p = 50*0.3 = 15 people.

- The standard deviation for the normal distribution can be determined as follows:

          standard deviation ( s ) = √n*p*(1-p)

                                                 = √50*0.3*(0.7)

                                                 = √10.5 = 3.2404

- We will assume that the random variable X follows normal distribution:

                       X ~ Norm ( 15 , 3.2404^2 )

- To determine the probability of sample of size n = 50 with proportion or lower. The number of people willing to buy pizza on friday as per survey are x = 10.

- Evaluate the standard normal ( Z-score ):

                      P ( X < x ) = P ( Z < ( x - u ) / s )

                      P ( X < 10 ) = P ( Z < ( 10 - 15 ) / 3.2404 )

                      P ( X < 10 ) = P ( Z < -1.54301 )

- Use the standard normal tables to determine the value of P ( Z < -1.54301 ):

                     P ( X < 10 ) = P ( Z < -1.54301 ) = 0.0614

Answer: The probability of getting a sample with the proportion or lower given a population with a proportion of .30 is 0.0614.

5 0
3 years ago
Ayana's favorite brownie recipe calls for 1/2 of a cup of flour for every 1/3 of a cup of cocoa powder. For a bake sale, she pla
ELEN [110]

Answer:

either a full cup or 1 1/2

Step-by-step explanation:

7 0
2 years ago
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Girlcome 5324611502 <br>p:1234​
alina1380 [7]

Answer:

Subscribe to my animations Y0UTUBE channel! Channel name: Let Me Explain Studios. Have a nice day!

Step-by-step explanation:

4 0
2 years ago
Find the rate of change
Fantom [35]

Answer:

b

Step-by-step explanation:

$25 per day

it's "b" because as days increase the cost of dollars gets added by $25 per day.

Hope this helped!

6 0
3 years ago
Is this pattern a net for the three-dimensional figure?<br> Yes<br> No
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Answer:

Yes

Step-by-step explanation:

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