What is the approximate volume of the cylinder? Use 3.14 to approximate tt. with a radius of 9 cm and a height of 22 cm

Which is the best prediction for the number of pages in a chapter that takes 18 minutes to read?

mario62 [17]

Answer with explanation:

Time taken by a person to read number of pages in a chapter= 18 minutes

It is not given what is the length of the page.So,we can't say exactly how many pages can a person read by completely understading what is written in each page in a chapter.

So, to fully understand each and every page in 18 minutes you can read minimum number of pages from the option given.

Option A:⇒ 15, is most appropriate.

9 0

3 years ago

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With a little care, you can find the median and the quartiles from the histogram. what are these numbers? you can also find the

coldgirl [10]

Complete Question

The histogram from this question is shown on the first uploaded image

Answer:

The first quartile is $1st Q = 19^{th} girl (subject ) = 1 \serving\ of\ fruit\ per\ day$

The median is $Median = 38 ^{th} \ girl (subject) = 2 \serving\ of\ fruit\ per\ day$

The third quartile is $3rd Q = 56^{th} \ girl (subject) = 4 \serving\ of\ fruit\ per\ day$

The mean is $\= x = 2.62$

Step-by-step explanation:

From the question we are told that

The total number of girls is n = 74

Generally the median is mathematically represented as

$Median = \frac{\frac{n}{2} +[ \frac{n}{2} + 1] }{2}$

So

$Median = \frac{\frac{74}{2} +[ \frac{74}{2} + 1] }{2}$

=> $Median = \frac{37 +38 }{2}$

=> $Median =37.5 \ girl$

From the histogram $37.5 \approx 38^{th} \ girl$ fall under 2 fruits per day

Generally the first quartile is mathematically represented as

$1st \ Q = \frac{\frac{n}{4} + [\frac{n}{4} + 1] }{2}$

=> $1st \ Q = \frac{\frac{74}{4} + [\frac{74}{4} + 1] }{2}$

=> $1st \ Q = 19 \ girl$

From the histogram $19^{th}$ girl fall under 1 fruit per day

Generally the third quartile is mathematically represented as

$3rd\ Q = \frac{\frac{n}{2} + n }{2}$

=> $3rd\ Q = \frac{\frac{74}{2} + 74 }{2}$

=> $3rd\ Q = 55.5$

From the histogram $55.5 \approx 56^{th} \ girl$ fall under 4 fruits per day

Generally from the histogram table the frequency [number of subjects (girls) ] and the servings of fruit per day can be represented as

Total

x(servings per day ) 0 1 2 3 4 5 6 7 8

f (number of subjects ) 15 11 15 11 8 5 3 3 3 $\sum f = 74$

xf 0 11 30 33 32 25 18 21 24 $\sum xf = 194$

Generally the mean is mathematically represented as

$\= x = \frac{1}{ \sum f} * [\sum xf]$

=> $\= x = \frac{1}{ 74} *194$

=> $\= x = 2.62$

4 0

3 years ago

Divide x4+2x2−24<br> by x+2

Ipatiy [6.2K]

$\begin{array}{c|c}_{-}\ x^4+2x^2-24 &\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\! \underline{ x+2 } \\ \!\!\!\!\!\!\!\!\!\!\! \underline{x^4+2x^3}& x^3-2x^2+4x-8 \\{ \big{_{-}}}-2x^3-24& \\\underline{-2x^3-4x^2}& \\ _{-} \ 4x^2-24 & \\ \underline{4x^2+8x}& \\ _{-}-8x-24& \\ \underline{-8x-16} & \\ -8 &\end {array }$

$\displaystyle \frac{x^4+2x^2-24}{x+2} =x^3-2x^2+4x-8 -\frac{8}{x+2}$

7 0

3 years ago

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According to the National Postsecondary Student Aid Study conducted by the U.S. Department of Education in 2008, 62% of graduate

egoroff_w [7]

Answer:

$\frac{31}{50}$

Step-by-step explanation:

percentage of graduates with loan = 62%

total sample = 50

Number of student in the sample with student loan

= (percentage of graduates with loan) x (total sample)

= 62% x 50

= 31

Proportion of student in the sample with student loan = $\frac{31}{50}$

4 0

3 years ago

Im lost please help me

zepelin [54]

Let C = the Chinese books.
Let E = the English language books.

C = 4/5 E

E - 300 = C - 180 Notice how you get this equation. You take 300 away from the English books and 180 from the Chinese and according to the question, you get an equal number of both. Put c = 4/5E into the second equation.

E - 300 = 4/5 E - 180 Add 300 to both sides.
E = 4/5 E - 180 + 300
E = 4/5 E + 120 Now subtract 4/5 E from both sidies.
E - 4/5 E = 120
1/5 E = 120 Now multiply by 5
E = 120 * 5
E = 600

So the number of books are
600 written in English
4/5 of 600 = 2400 /5 = 480 Chinese books.

English 600
Chinese 480

6 0

3 years ago