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Katarina [22]
2 years ago
7

Here is the histogram of a data distribution. What is the shape of this distribution?

Mathematics
1 answer:
Pavlova-9 [17]2 years ago
7 0

Answer:

Unimodal-Skewed

Step-by-step explanation:

A distribution is called unimodal if it has only one hump in the histogram.

A symmetric distribution is equally divided on both sides of the highest hump.

The given histogram has only one hump at 4 and as it is not symmetrically distributed, it is skewed.

So the correct answer is:

Unimodal-Skewed ..

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The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there a
Anettt [7]

Answer:

1) The size of the colony after 4 ​days is 6553 mosquitoes

2) After t = 4.9\ days

Step-by-step explanation:

To answer this question you must use the growth formula

N = N_0e ^ {kt}

Where

N_0 is the initial population of mosquitoes = 1000

t is the time in days

k is the growth rate

N is the population according to the number of days

We know that when t = 1 and N_0=1000 then N = 1600

Then we use these values to find k.

1600 = 1000e ^{k(1)}\\\\\frac{1600}{1000} = e ^ k\\\\ln(\frac{1600}{1000}) = k\\\\k = 0.47

Now that we know k we can find the size of the colony after 4 days.

N = 1000e ^ {0.47(4)}\\\\N = 6553\ mosquitoes

To know how long it should take for the population to reach 10,000 mosquitoes we must do N = 10000 and solve for t.

10000 = 1000e ^ {0.47t}\\\\10 = e ^ {0.47t}\\\\ln(10) = 0.47t\\\\t = \frac{ln(10)}{0.47}\\\\t = 4.9\ days

6 0
2 years ago
A Square was altered so that one side is increased by 9 inches in the other side is decreased by 2 inches.The area of the result
LekaFEV [45]

Let s represent the length of any one side of the original square.  The longer side of the resulting rectangle is s + 9 and the shorter side s - 2.

The area of this rectangle is (s+9)(s-2) = 60 in^2.

This is a quadratic equation and can be solved using various methods.  Let's rewrite this equation in standard form:  s^2 + 7s - 18 = 60, or:

s^2 + 7s - 78 = 0.  This factors as follows:  (s+13)(s-6)=0, so that s = -13 and s= 6.  Discard s = -13, since the side length cannot be negative.  Then s = 6, and the area of the original square was 36 in^2.

4 0
2 years ago
Find the volume for the following. Show your work and include the units.<br> 3 cm<br> 12 cm
Gemiola [76]

Answer:

12 CM is the best answer.

please thanks and follow me

7 0
3 years ago
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What is the equation of the line and a slope intercept form that passes through 3, -1 and -1, 5
TEA [102]

ANswer:  y= -3/2x + 7/2

you welcome

7 0
2 years ago
36×36 show work use math alagrithem
amm1812

Answer:

1296

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7 0
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