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worty [1.4K]
3 years ago
12

Montel can't keep up with the demand for the latest best-selling book. He had to order more copies twice this week. On Monday he

placed an order for 96 books. On Wednesday he ordered 264 more. All the books arrived on Friday. There were 24 books in each box. How many boxes of books did Montel receive?
Mathematics
2 answers:
Rom4ik [11]3 years ago
8 0
He got 15 boxes.
he ordered a total of 360 books 
(264+96=360)
Since there are 24 books in each box you have to divide 360 by 24
(360/24=15)
If there are 24 books in each box then there should be 15 boxes for him to be able to have 360 books 
zhannawk [14.2K]3 years ago
6 0
96+264 = 360
360 \ 24 = 15

Therefore he received 15 boxes
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A rectangle is 8 ft long.Its width is represented by "seven plus x feet" what expression would represent the area in square feet
ohaa [14]
My best guess would be A=8(7+x)
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7 0
3 years ago
A scientist claims that 7% 7 % of viruses are airborne. If the scientist is accurate, what is the probability that the proportio
Reptile [31]

Answer:

The probability is P(|p-\^{p}| >  0.03)  =   0.0040

Step-by-step explanation:

From the question we are told that

   The population proportion is p =  0.07

   The mean of the sampling distribution is   \mu_p =  0.07

   The sample size is n = 600

Generally the standard deviation is mathematically represented as

     \sigma_p  =  \sqrt{\frac{p (1 -p)}{n} }

=>    \sigma_p  =  \sqrt{\frac{0.07(1 -0.07)}{600} }    

=>    \sigma_p  =  0.010416    

Generally the probability that the proportion of airborne viruses in a sample of 600 viruses would differ from the population proportion by greater than 3% is mathematically represented as

      P(|p-\^{p}| >  0.03) =  1 - P(|p -\^{p}| \le 0.03)

=>   P(|p-\^{p}| >  0.03)  =  1 -  P(-0.03 \le p -\^{p} \le 0.03 )

Now  add p  to  both side of the inequality

=>   P(|p-\^{p}| >  0.03)  =  1 -  P( 0.07-0.03  \le \^{p} \le 0.03+ 0.07 )

=>   P(|p-\^{p}| >  0.03)  =  1 -  P(0.04 \le \^{p} \le 0.10 )

Now  converting the probabilities to their respective standardized score

=> P(|p-\^{p}| >  0.03)  =  1 -  P(\frac{0.04 - 0.07}{0.010416}  \le Z \le \frac{0.10 -0.07}{0.010416}  )

=> P(|p-\^{p}| >  0.03)  =  1 -  P(-2.88  \le Z \le 2.88 )

=>   P(|p-\^{p}| >  0.03)  =   1 - [P(Z \le 2.88) - P(Z \le -2.88)]

From the z-table  

       P(Z \le 2.88)  =  0.9980

and

       P(Z \le -2.88)  = 0.0020

So

     P(|p-\^{p}| >  0.03)  =   1 - [0.9980 - 0.0020]

=>   P(|p-\^{p}| >  0.03)  =   0.0040

     

7 0
3 years ago
I need help with this ​
alexdok [17]

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8 0
3 years ago
The time of a pendulum varies as the square root of its length. If the length if a pendulum which beats 15seconds is 9cm, find t
8090 [49]

Answer:

length= 3.7 ft.

Step-by-step explanation:

T= (square root of length) * k

1.8 seconds = (square root of 3) * k

k= 1.8 seconds / (square root of 3)

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substituting k:

T=(square root of 11) * 1.8 seconds / (square of 3)

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b.) 2 seconds = (square root of length) k

substituting k:

2 seconds =(square root of length) 1.8 seconds / (square root of 3)

Divide the equation by 1.8 seconds / (square root of 3):

2 seconds / [1.8 seconds / (square root of 3)] = (square root of length)

10(square root of 3) / 9 = (square root of length)

square both sides:

100/7 ft= length

length= 3.7 ft.

Hope this helps.

7 0
3 years ago
Lena's guest house is 15 m long and 12 m wide. How long is the diagonal of the house?
Lerok [7]
Draw dagarm (see attachment)

we've got a right triangle
the legs are 12 and 15
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remember, for any right tirnalge
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so
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144+225=c²
369=c²
sqrt both sides
√369=c
3√41=c
the diagonal is 3√41 m or about 19.2m

3 0
4 years ago
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