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wariber [46]
3 years ago
13

Juan read 15 books in 9 months. How many books did he read in 24 months? And how many months did it take him to read 5 books?

Mathematics
2 answers:
larisa86 [58]3 years ago
8 0
0.8 months stan loona

levacccp [35]3 years ago
5 0

Answer:

40 books and 3 months

Step-by-step explanation:

b= books

15b=9months

1 month =15/9=5/3

24 months =24×5/3

24 months =8×5=40 books

1b=9/15

1b=3/5

5b =3/5×5

5b=3

it would take him 3 months to read 5 books

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A random sample of 330 electronic components manufactured by a certain process are tested, and 30 are found to be defective. A d
avanturin [10]

Answer:

The result is significant.

Step-by-step explanation:

Here,

p = 30 ÷ 330 = 0.091

thus, q = 1 - p = 0.909

Also, \sigma=\sqrt{\frac{pq}{n} }

⇒ \sigma=\sqrt{\frac{0.091\times0.909}{330} }=0.0158

The z-score is:

z=\frac{p-p_{0}}{\sigma}

z=\frac{0.091-0.05}{0.0158}=2.595

Thus, at 95% confidence interval, p-value = 0.005

The result is significant at p < .05.

7 0
3 years ago
A rectangular box without a top is have a volume of 12 cubic feet. Find the dimensions of
LiRa [457]
If the length, breadth and height of the box is denoted by a, b and h respectively, then V=a×b×h =32, and so h=32/ab. Now we have to maximize the surface area (lateral and the bottom) A = (2ah+2bh)+ab =2h(a+b)+ab = [64(a+b)/ab]+ab =64[(1/b)+(1/a)]+ab.

We treat A as a function of the variables and b and equating its partial derivatives with respect to a and b to 0. This gives {-64/(a^2)}+b=0, which means b=64/a^2. Since A(a,b) is symmetric in a and b, partial differentiation with respect to b gives a=64/b^2, ==>a=64[(a^2)/64}^2 =(a^4)/64. From this we get a=0 or a^3=64, which has the only real solution a=4. From the above relations or by symmetry, we get b=0 or b=4. For a=0 or b=0, the value of V is 0 and so are inadmissible. For a=4=b, we get h=32/ab =32/16 = 2.

Therefore the box has length and breadth as 4 ft each and a height of 2 ft.
4 0
3 years ago
Arnold has $24 to spend at the movies. His ticket is $12. He bought popcorn, candy bar, and soda. Popcorn is double the prize of
Anastasy [175]

Given:

Arnold has $24 to spend at the movies.

Ticket = $12

Popcorn is double the price of the soda.

The soda and candy bar are same price.

To find:

The price for the soda.

Solution:

Let x be the price of soda.

According to the question,

Price of candy = Price of soda = x

Price of popcorn = 2(price of soda) = 2x

Total amount = Ticket + Popcorn + Soda + Candy

24=12+2x+x+x

24=12+4x

24-12=4x

12=4x

Divide both sides by 4.

\dfrac{12}{4}=x

3=x

Therefore, the price of soda is $3.

8 0
3 years ago
Solve for v: -4(v - 2) + 3 &gt; -3(v + 9)
vitfil [10]

Answer:

-4v + 8 > -3v - 9

-v + 8 > -9

-v > -17

v < 17

7 0
3 years ago
Read 2 more answers
Find the standard deviation of 21, 31, 26, 24, 28, 26
Vesnalui [34]

Given the dataset

x = \{21,\ 31,\ 26,\ 24,\ 28,\ 26\}

We start by computing the average:

\overline{x} = \dfrac{21+31+26+24+28+26}{6}=\dfrac{156}{6}=26

We compute the difference bewteen each element and the average:

x-\overline{x} = \{-6,\ 5,\ 0,\ -2,\ 2,\ 0\}

We square those differences:

(x-\overline{x})^2 = \{36,\ 25,\ 0,\ 4,\ 4,\ 0\}

And take the average of those squared differences: we sum them

\displaystyle \sum_{i=1}^n (x-\overline{x})^2=36+25+4+4+0+0=69

And we divide by the number of elements:

\displaystyle \sigma^2=\dfrac{\sum_{i=1}^n (x-\overline{x})^2}{n} = \dfrac{69}{6} = 11.5

Finally, we take the square root of this quantity and we have the standard deviation:

\displaystyle\sigma = \sqrt{\dfrac{\sum_{i=1}^n (x-\overline{x})^2}{n}} = \sqrt{11.5}\approx 3.39

8 0
3 years ago
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