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irina [24]
3 years ago
13

Jacky read at the rate of 15 pages per hour. Johnny read at the rate of 1/3 of a pages per minute. Who was reading faster? By ho

w many pages per hour faster?
Mathematics
1 answer:
o-na [289]3 years ago
3 0
We can compare by converting Johnny's reading time into the same unit of Jacky's, hours.

There are 60 minutes in an hour, so use this:

\frac{1}{3} *  \frac{60}{1} = 20

15 < 20, so Johnny read faster. This is 5 pages faster per hour than Jacky.
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A pasture is twice as long as it is wide. its area is 88,200 ft2. how wide is the pasture?
OLga [1]
If the width is w and the length is l, then 2w=l. In addition, l*w=88200 (using the area formula). Plugging 2w in for l, we get 2w*w=88200=2w^2. Dividing both sides by 2, we get w^2=44100 and w=sqrt(44100)=210. 
4 0
3 years ago
Between which two consecutive whole numbers does 86 lie? Fill out the sentence below to justify your answer and use your mouse t
Sveta_85 [38]

\boxed{9}\rule[0.35em]{10em}{0.25pt}\stackrel{\sqrt{86}}{\approx 9.27}\rule[0.35em]{17em}{0.25pt}\boxed{10}

5 0
2 years ago
Suppose that 80% of all trucks undergoing a brake inspection at a certain inspection facility pass the inspection. Consider grou
Gwar [14]

Answer:

P=0.147

Step-by-step explanation:

As we know 80% of the trucks have good brakes. That means that probability the 1 randomly selected truck has good brakes is P(good brakes)=0.8 . So the probability that 1 randomly selected truck has bad brakes Q(bad brakes)=1-0.8-0.2

We have to find the probability, that at least 9 trucks from 16 have good brakes, however fewer than 12 trucks from 16 have good brakes. That actually means the the number of trucks with good brakes has to be 9, 10 or 11 trucks from 16.

We have to find the probability of each event (9, 10 or 11 trucks from 16 will pass the inspection) .  To find the required probability 3 mentioned probabilitie have to be summarized.

So P(9/16 )=  C16 9 * P(good brakes)^9*Q(bad brakes)^7

P(9/16 )= 16!/9!/7!*0.8^9*0.2^7= 11*13*5*16*0.8^9*0.2^7=approx 0.02

P(10/16)=16!/10!/6!*0.8^10*0.2^6=11*13*7*0.8^10*0.2^6=approx 0.007

P(11/16)=16!/11!/5!*0.8^11*0.2^5=13*21*16*0.8^11*0.2^5=approx 0.12

P(9≤x<12)=P(9/16)+P(10/16)+P(11/16)=0.02+0.007+0.12=0.147

7 0
2 years ago
The area of a rectangle is 1176 square meters. The width of the rectangle is 21 meters. What i the length of the rectangle?
stepan [7]

Answer:

56

Step-by-step explanation:

1176 divided by 21 = 56

3 0
3 years ago
Write the equation, in the slope-intercept form, for the line shown in the graph below:
AysviL [449]

Answer:

y = -3x

Step-by-step explanation:

Slope is -3

8 0
2 years ago
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