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Katarina [22]
2 years ago
13

The weights of cars passing over a bridge have a mean of 3,550 pounds and standard deviation of 870 pounds. Assume that the weig

hts of the cars passing over the bridge are normally distributed. Use a calculator to find the probability that the weight of a randomly-selected car passing over the bridge is less than 3,000 pounds.
Mathematics
1 answer:
Annette [7]2 years ago
7 0

Answer:

0.24315

Step-by-step explanation:

Using the z score formula to solve this question

z = (x - μ) / σ,

Such that:

x = raw score

μ = population mean

σ = population standard deviation.

From the question:

x = 3000

μ = 3550

σ = 870

z = (3000 - 3550) / 870

z = -550/870

z = -0.6962

Using the z score table as well as probability calculator(as requested in the question to find the z score)

The probability of having less than 3000 is obtained as:

P(x<3000) = 0.24315

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Suppose in the next year, 2007, College D's expenses and enrollment remain about the same, but in addition to their current reve
Olin [163]

This question is incomplete, here is the complete question:

Suppose in the next year, 2007, College D's expenses and enrollment remain about the same, but in addition to their current revenues, they receive an additional $50,000,000 grant. This would allow them to reduce average tuition by how much?

A) $1388.89

B) $3571.43

C) $5555.56

D) $9500.00

E) $25888.89

number of students = 36,000

Answer: A) $

1388.89

Step-by-step explanation:

the college received additional grant which is $50,000,000

and the number of students is 36,000,

and we also know that expenses and enrollment remained the same.

So if we have more money (grants) and nothing changed (expenses remain the same)

dividing the grant by the number of students will show just how much the average tuition fee would be reduced

therefore R = G/n

R = 50,000,000 / 36000

R = 1,388.888 ≈  $1388.89

7 0
2 years ago
Based on an online poll, 35% of motorists routinely use their cell phone while driving. Tree people are chosen at random from a
mart [117]

Answer:

The anwerss to the question are

(A) P(No less than two people use their phones while driving) =  0.1225

(B) P(The probability that no more than one person of the three people use their cell phone while driving) = 0.147875

Step-by-step explanation:

The given relations are

Percentage of motorists that routinely drive while sing their phone = 35 %

The probaboloty that if a peerson is random;ty  selected from a group of hudred person routinely uses their phone wjile friving P(phone) = 35

The probability that a  motorist randomly selected fron a set of 100 do not routinely use thir phones while driving = P(No celll phone)  = 65

Then the probability that when three people are selected at random at least two people of the three people use their cell phone while driving is

P(phone)  = 35/100m = 0.35

P(No celll phone)  = 65/100 = 0.65

(A) Probability of at least two of three use their phones whle driving is

0.35×0.35×0.65 +0.35×0.35×0.35 = 0.1225

(B) The probability of only one person out of three seted use their phones while driving is

(0.35)(0.65)(0.65) = 0.147875

7 0
2 years ago
A software store has put some of its inventory on sale. Games are marked down by 15%, and security programs are marked down by 1
Katyanochek1 [597]

Answer:

Option D. \$11.34

Step-by-step explanation:

Let

x -----> the original price of one game

y ----> the original price of one security programs

Remember that

100\%-15\%=85\%=85\100=0.85

100\%-18\%=82\%=82\100=0.82

The total pay with discount is

\$35.70+\$22.96=\$58.66

we have that

0.85(2x)=35.70\\1.70x=35.70\\x=\$21

0.82y=22.96\\y=\$28

Find the total pay without discount

2x+y=2(21)+28=\$70

The amount saved is the difference

\$70-\$58.66=\$11.34

5 0
2 years ago
Read 2 more answers
when 1580 is divided into 13 equal parts, the remainder is 7. What is the correct way to write the quotient
Alisiya [41]

_121_ R7 or 121 7/13
13)1580
13
28
26
20
13
7
5 0
2 years ago
Read 2 more answers
Margo bought 7 pens from a bookstore. Some of the pens cost $3 each, and the rest cost $4 each. If she paid a total of $23 for t
e-lub [12.9K]

Answer: 5 Pens!

Step-by-step explanation: 5 Pens Would Be The Answer.

8 0
2 years ago
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