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kotykmax [81]
3 years ago
7

The number of pages that Kline can read varies directly with the time he spends reading if he reads 13 pages in 25 minutes how m

any can he read in two hours
Mathematics
2 answers:
Tcecarenko [31]3 years ago
8 0

Answer:

  62.4 pages

Step-by-step explanation:

Let n represent the number of pages he can read in 2 hours (120 minutes). Then the proportion can be written ...

  n/120 = 13/25

  n = 120(13/25) = 312/5 = 62.4

Kline can read about 62.4 pages in 2 hours.

sukhopar [10]3 years ago
3 0

Answer:It is 650

Step-by-step explanation:

13x25=352

352x2=650

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3 years ago
He takes a random sample of 49 recent charterholders and computes a mean salary of $172,000 with a standard deviation of $35,000
uysha [10]

Answer:

the 90% of confidence intervals for the average salary of a CFA charter holder

 (1,63,775 , 1,80,000)

Step-by-step explanation:

<u>Explanation</u>:-

random sample of n = 49 recent charter holders

mean of sample (x⁻) =  $172,000

standard deviation of sample( S) = $35,000

Level of significance α= 1.645

<u> 90% confidence interval</u>

(x^{-} - Z_{\alpha } \frac{s}{\sqrt{n} } , x^{-} + Z_{\alpha } \frac{s}{\sqrt{n} })

(172000 - 1.645 \frac{35000}{\sqrt{49} } , 172000 +1.645 \frac{35000}{\sqrt{49} })

on calculation , we get

(1,63,775 , 1,80,000)

The mean value lies between the 90% of confidence intervals

(1,63,775 , 1,80,000)

4 0
3 years ago
Which graph shows the result of dilating this figure by a factor of 4 about the origin? On a coordinate plane, rectangle A B C D
Andrei [34K]

Answer:

Second option: On a coordinate plane, rectangle A'B'C'D' prime has points (-4,4),(12,4),(12,-4),(-4,-4)

(See the graph attached)

Step-by-step explanation:

For this exercise it is importnat to know that a Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) has the same shape as the Pre-Image (which is the original figure before the transformation), but they have different sizes.

In this case, you know that the vertices of the rectangle ABCD ( The Pre-Image)  are the following:

A(-1,1)\\\\B(3,1)\\\\C(3,-1)\\\\D(-1,-1)

Therefore, to find the vertices of the rectangle A'B'C'D' (The Image)  that results of dilating the rectangle ABCD by a factor of 4 about the origin, you need to multiply the coordinates of each original vertex by 4. Then, you get:

A'=((-1)(4),(1)(4))=(-4,4)\\\\B'=((3)(4),(1)(4))=(12,4)\\\\C'=((3)(4),(-1)(4))=(12,-4)\\\\D'=((-1)(4),(-1)(4))=(-4,-4)

Finally, knowing those points, you can identify that the graph that shows the result of that Dilation, is the one attached.

7 0
4 years ago
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So I had to reread this about 3 times before it finally clicked, I've never done a problem like this before. An ordered pair is organized like so: (x-coordinate, y-coordinate) Meaning x=4 and y=6. If x=hot dogs and y=drinks then this means that Ben purchased 4 hot dogs and 6 drinks at the game. 

Hope this helps!! (:
6 0
3 years ago
Help❗️❗️❗️❗️❗️The length of the hypotenuse of a right triangle is 157 units. The length of one leg of the triangle is 132 units.
yarga [219]

Answer:

The answer is D.

Step-by-step explanation:

She forgot to find the square root of 7225.

4 0
3 years ago
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