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Softa [21]
3 years ago
13

Consider the dot plot which shows the distribution of data collected on the amount of time Jason sleeps each night. Find the dif

ference between the mean and median. (round to nearest tenth)
A) 0.2
Eliminate
B) 0.3
C) 0.6
D) 0.8

Mathematics
1 answer:
Elina [12.6K]3 years ago
4 0

Answer:

A) 0.2  

Step-by-step explanation:

From least to greatest, the data points are

6, 6, 6, 7, 7, 7, 8, 8, 8, 9

To find the mean, we find the sum of the data points and divide by the number of data points, 10.  The sum of the data points is

6+6+6+7+7+7+8+8+8+9 = 72

Dividing by 10, the mean is 72/10 = 7.2.

The median is the middle number in the set.  This is 7.

The difference between the mean and the median is

7.2-7 = 0.2.

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Write an expression to represent the total number of legs on h horses and c chickens. How many legs are there in 5 horses and 6
I am Lyosha [343]
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32 legs altogether
7 0
3 years ago
The marginal cost of drilling an oil well depends on the depth at which you are drilling; drilling becomes more expensive, per m
sukhopar [10]

Answer:

4,250,000 riyals

Step-by-step explanation:

The total cost of drilling a 500-meter well is the sum of fixed costs (1,000,000 riyals) and variable costs.

By integrating the marginal cost function we get the variable costs function. Evaluating the variable costs function from 0 to 500 meters, gives us the total variable cost.

C(x) =\int\limits^{500}_0 {C(x')} \, dx  =\int\limits^{500}_0 {(4000 + 10x)} \, dx \\C(x)=4000x +5x^2 +c|^{500}_0\\C(500) - C(0) = (4000*500 +5*500^2 +c) - (4000*0 +5*0^2 +c)\\C(500) - C(0) = 3,250,000

Total cost of drilling is:

TC = 3,250,000 + 1,000,000\\TC = 4,250,000\ riyals

4 0
3 years ago
I will give 5 points
ikadub [295]

Use the sum of cubes factoring rule

a^3 + b^3 = (a+b)(a^2 - ab + b^2)

to transform the left hand side into the right hand side.

\frac { \sin^{3} \theta + \cos^{3} \theta } { \sin \theta + \cos \theta } = 1 - \sin \theta \cdot \cos \theta\\\\\frac { (\sin \theta + \cos \theta)(\sin^2 \theta - \sin \theta \cdot \cos\theta + \cos^2 \theta) } { \sin \theta + \cos \theta } = 1 - \sin \theta \cdot \cos \theta\\\\

\sin^2 \theta - \sin \theta \cdot \cos\theta + \cos^2 \theta = 1 - \sin \theta \cdot \cos \theta\\\\(\sin^2 \theta + \cos^2\theta)- \sin \theta \cdot \cos\theta = 1 - \sin \theta \cdot \cos \theta\\\\1- \sin \theta \cdot \cos\theta = 1 - \sin \theta \cdot \cos \theta \ \ \checkmark\\\\

Throughout the entire process, the right hand side stayed the same.

On the last step, I used the pythagorean identity.

8 0
2 years ago
Can someone answer this????????????????????????
Goryan [66]

Answer:

x=4

Step-by-step explanation:

8 0
3 years ago
PLEASE HELP ASAP!!!!!!
Anvisha [2.4K]

Answer:

1/5

Step-by-step explanation:

3 0
3 years ago
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