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brilliants [131]
2 years ago
11

What is the following simplified product? Assume x≥0. 2√8x^3(3√10x^4-x√5x^2)

Mathematics
1 answer:
natta225 [31]2 years ago
5 0

i think the answer is A.

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The number of hours a group of contestants spends preparing for a quiz show is listed below. What is the frequency table that re
harkovskaia [24]
I'll just show you how to make a frequency table using the above data. 
We will group the data into class intervals and determine the frequency of the group.

<span>8 12 25 32 45 50 62 73 80 99 4 18 9 39 36 67 33
</span>
smallest data value = 4
highest data value = 99
difference = 99 - 4 = 95
number of data = 17

Let us assign a class interval of 20.

Class Interval     Tally                              Frequency
0-20                    8, 12, 4, 18, 9,                     5
21-40                25, 32, 39, 36, 33                 5 
41-60                45, 50, 67                              3
61-80                62, 73, 80                              3
81-100              99                                           1

That is how a frequency table look like. Usually, under the Tally column, tick marks are written instead of the numbers but for easier monitoring, I used the numbers in the data set.
8 0
2 years ago
A researcher is estimating the mean income of residents in a large city. The income variable is usually skewed to the right. She
Gnom [1K]

Answer: We are 95% confident that the mean income for all residents of this city is between $26700 and $35400.

Step-by-step explanation:

We know that a 95% confidence interval given an interval of values that we can be 95% sure , that it contains the true mean of the population, not 95% of data lies in it.

Given : A researcher is estimating the mean income of residents in a large city. The income variable is usually skewed to the right. She collects a random sample of 25 people.

The resulting 95% confidence interval is ($26700, $35400).

Then, valid conclusion will be :  We are 95% confident that the mean income for all residents of this city is between $26700 and $35400.

5 0
2 years ago
A rectangular area is formed having a perimeter of 40 cm. Determine the length and breadth of the rectangle if it is to enclose
Vilka [71]

Let x and y be the dimensions of the rectangle. If the perimeter is 40, we have

2(x+y)=40 \iff x+y=20

We can expression one variable in terms of the others as

x+y=20 \iff x=20-y

Since the area is the product of the dimensions, we have

xy=(20-y)y=-y^2+20y

This is a parabola facing down, so it's vertex is the maximum:

f(y)=-y^2+20y \implies f'(y)=-2y+20

So, the maximum is

f'(y)=0 \iff -2y+20=0 \iff 2y=20 \iff y=10

And since we know that x+y=20, we have x=10 as well.

This is actually a well known theorem: out of all the rectangles with given perimeter, the one with the greatest area is the square.

5 0
2 years ago
Can someone please help me with my Imagine Math? My teacher assigned are class to do this even though we haven't learned about t
Daniel [21]

Answer:

first graph is not a function, second graph is a function, 3rd is not enough information, 4th is a function, 5th is not a function, 6th is a function

Step-by-step explanation:

8 0
2 years ago
Billy buys light bulbs in packs of 8 for $20. The shipping cost is $10 regardless of the number of packs bought. Billy has only
kirill115 [55]

Answer:

5

Step-by-step explanation:

He can buy 5 boxes of light bulbs..

20 x 5= 100

He only has 120 to spend - the shipping = 110

He can't get another box of lightbulbs. Therefor he can only buy 5!

7 0
2 years ago
Read 2 more answers
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