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saul85 [17]
3 years ago
6

Yearly travel expenses for a family of four are normally distributed with a mean expense equal to $3,000 and a standard deviatio

n equal to $500. What is the probability of travel expenses being greater than $4,000?
Mathematics
1 answer:
Scrat [10]3 years ago
3 0

Answer:

The probability is 0.02275

Step-by-step explanation:

We shall first find the z-score here

z-score = (x -mean)/SD

from the question;

x = 4,000

mean = 3,000

SD = 500

z-score = (4,000-3,000)/500 = 1000/500 = 2

So the probability we want to calculate is;

P(z > 2) = 0.02275

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drek231 [11]
It is given in the problem that out of 25 students in Hansels class 17 students went to the class trip to the zoo. From the above information it is easy to find the percentage of students that went for the class trip to the zoo.
Total number of students in the class = 25
Number of students that went for the class trip to the zoo = 17
Then
Percentage of students that went to the zoo = (17/25) * 100
                                                                       = (17 * 4) percent
                                                                       = 68 percent
So 68% of the students in Hansels class went for the class trip to the zoo.
6 0
3 years ago
Write equivalent fractions for 3\5 and 1\4 using 20 as the conman denominator
Sindrei [870]

Answer:

12/20=3/5   5/20=1/4 so the answer would be 12/20 + 5/20

4 0
3 years ago
Julia has to mow two yards she will need 13/16 gallon of gas to mow the first yard and 2/5 gallon to mow the second yard she has
Mazyrski [523]

Answer:

Julia has  enough gas to mow the two yards.

Step-by-step explanation:

Given:

Julia needs \frac{13}{16} gallon of gas to mow first yard.

Julia needs \frac{2}{5} gallon of gas to mow second yard.

Julia has a total of 1\frac{1}{2} gallon of gas in in her can.

To find whether she has enough to mow both yards.

Solution:

Total gallons of gas needed to mow two yards can be found out by :

⇒ \frac{13}{16}+\frac{2}{5}

Taking LCD =80.

⇒ \frac{13\times 5}{16\times 5}+\frac{2\times 16}{5\times 16}

⇒ \frac{65}{80}+\frac{32}{80}

Adding the numerators.

⇒ \frac{97}{80}

⇒ 1.2125 gallons

Julia has 1\frac{1}{2} gallon = 1.5 gallons of gas in in her can.

Since  1.5>1.21 , thus we can say that Julia has enough gas to mow the two yards.

8 0
3 years ago
Please help and show your work . Thanks if the picture is upside down turn your device on portrait by locking it so it won't tur
Bezzdna [24]
So we know that the bag has total 15 cookies, and 1 cookie that does not have any raisin. Finally, the probability that one cookie won't have any raisin is 1/15 or 7 percent. Hope it help!
3 0
3 years ago
nicholas has $5000 to invest for retirement. his goal is to have at least $40000 in 30 years. if he finds an account with contin
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40000/5000=e^30r
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4 0
4 years ago
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