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yarga [219]
3 years ago
5

Please help! I'll upvote all responses.

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
8 0
If he wants 8,000 then he need to save $170 a month for all four years
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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
Slope (12,-18),(11,12)
olga nikolaevna [1]
If you are trying to find the slope using only these two points then you should first take note of what your X and Y values are. For instance, 12 & 11 are your X values and -18 & 12 are your Y values. Knowing this you can now find your slope by doing y2-y1/
x2-x1. You will get the fraction -30/1 or -30 which is your slope. Hope that made sense!
4 0
3 years ago
A man invests $5000 in an account that pays 8.5% interest per year, compounded quarterly
notka56 [123]
5000(1+.085/4)^n=1000
to find n use log:
1.02125^n 
N X log1.02125
when computed=32.9
round to 33 quarters compounded
33/4
equals to 8 years 3 months

3 0
3 years ago
Read 2 more answers
HELP!!!! Position and label the triangle on the coordinate plane
Darya [45]

Answer:

Option (2).

Step-by-step explanation:

It is given in the question,

ΔLMN is a right triangle with base LM = 3a units

Hypotenuse MN = 5a

By applying Pythagoras theorem in ΔLMN,

MN² = LM² + NM²

(5a)² = (3a)² + MN²

25a² - 9a² = MN²

MN = √16a²

MN = 4a

Therefore, vertices of the triangle will be L(0, 0), M(3a, 0) and N(0, 4a).

Option (2) will be the answer.

4 0
3 years ago
Assume that human body temperatures are normally distributed with a mean of 98.22 degrees Upper F 98.22°F and a standard deviati
Anna35 [415]

Answer: 0.00102%

Step-by-step explanation:

Given : Human body temperatures are normally distributed with a mean of \mu=98^{\circ}Fand a standard deviation of s=0.61^{\circ}F

A hospital uses 100.6^{\circ}F as the lowest temperature considered to be a fever.

Let x be the random variable that represents the human body temperatures.

z=\dfrac{x-\mu}{s}

For x= 100.6, z=\dfrac{100.6-98}{0.61}=4.26229508197\approx4.26

Using normal distribution table for z-values for right-tailed area ,

P(x>100.6)=P(Z>4.26)=0.0000102=0.00102\%

Hence, the required probability = 0.00102%

8 0
3 years ago
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