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il63 [147K]
3 years ago
7

The posted weight limit for a covered wooden bridge in Pennsylvania is 6000 pounds. A delivery truck that is carrying x identica

l boxes each weighing 14 pounds will pass over the bridge. If the combined weight of the empty delivery truck and its driver is 4500 pounds, what is the maximum possible value of x that will keep the combined weight of the truck, drives, and boxes below the bridge's posted weight limit?
Mathematics
1 answer:
nordsb [41]3 years ago
4 0

Answer:

The answer to x is 107

Step-by-step explanation:

If the driver and truck weigh 4500 and the bridge is can hold 6000 lbs. than there is room for 1500 more lbs. multiply 14 by 100 and get 1400, than  multiply 14 by 7 and get 98. Add those to to get 1498. So the answer is x=107

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Anis completed a journey of 4.5 km by walking for 30 minutes at
iris [78.8K]

Answer:

speed=d/t

let him cover x distance while walking

running d=4.5-x

s1=x/0.5 km/hr....(1)

s2=4.5-x//5/12.....(2)

atq.....s2=2+s1

s1=2x

s2=54-12x/5

by eqn 1 and 2

s1+s2=2x+54-12x/5

putting value of s2

s1+2+s1=2x+54-12x/5....taking LCM =5

10s1+10= 10x+54-12x

as s1=2x

10s1+10= -2x+54

10s1+10=-s1+54

11s1=44

speed when walking=4km/hr

5 0
2 years ago
John spent half of his weekly allowance
Citrus2011 [14]

Answer:

$6

Step-by-step explanation:

5 0
3 years ago
A literature professor decides to give a 10-questiontrue-false quiz to determine who has read an as-signed novel. She wants to c
Darya [45]

Answer:

The teacher should set the score 7 as the lowest passing grade.

Step-by-step explanation:

Let <em>X</em> = number of correct guesses.

All the questions are of true-false format.

The probability of getting a correct answer is, <em>p</em> = 0.50.

The total number of questions is, <em>n</em> = 10.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 10 and <em>p </em>= 0.50.

The probability mass function of <em>X</em> is:

P(X=x)={10\chose x}0.50^{x}(1-0.50)^{10-x};\ x=0,1,2,3...

Now the teaches chose the grading scheme such that the probability of passing a student who guesses on every question is less than 0.05.

Then the probability of failing such a students is at least 1 - 0.05 = 0.95.

Compute the probability distribution of <em>X</em>.

Consider the probability distribution attached below.

The value of <em>x</em> for which P (X ≤ x) is at least 0.95 is, <em>x</em> = 7.

So the teacher should set the score 7 as the lowest passing grade.

7 0
3 years ago
A bookstore classifies its books by reader group, type of book, and cost. What is the probability that a book selected at random
Alina [70]

Answer:

A) 315/1005

Explanation:

Total choices: 120 + 255 + 35 + 60 + 200 + 110 + 75 + 150 = 1005

Favorable choices: 255 + 60 = 315

probability:

favorable choices/total choices

315/1005

21/67

3 0
2 years ago
A bakery sold a total of 500 cupcakes in a day, and 5% of them were vanilla flavored. How many of the cupcakes sold that day wer
topjm [15]
25 were vanilla
500 divided by 100 is 5 meaning that one percent is 5 and 5x5 is 25
5 0
3 years ago
Read 2 more answers
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