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Helga [31]
1 year ago
13

I don't have a question but I was wondering if you could check my work

Mathematics
1 answer:
cestrela7 [59]1 year ago
8 0

The mean of a data sample can be found by adding all the terms in the data sample and dividing the result by the number of terms. In the first case we have the following data sample:

12,8,15,11,9

The mean of this sample is:

\operatorname{mean}=\frac{12+8+15+11+9}{5}=\frac{55}{5}=11

The mean absolute deviation is the sum of the differences between each data value and the mean, divided by the number of data values, the formula is:

MAD=\frac{\sum ^{}_{}\mleft|x_i-\bar{x}\mright|}{n}

Therefore, we must calculate the positive difference between each value and the mean, add them up, and divide the result by the number of data points in the sample. In the case of the first sample we get:

\text{MAD}=\frac{(12-11)+(11-8)+(15-11)+(11-9)}{5}

Solving the operation:

\text{MAD}=\frac{10}{5}=2

If done this way, all the results for each data set must be correct.

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Doug hits a baseball straight towards a 15 ft high fence that is 400 ft from home plate. The ball is hit 2.5ft above the ground
Scorpion4ik [409]

Answer:

125.4\ \text{m/s}

Step-by-step explanation:

u = Initial velocity of baseball

\theta = Angle of hit = 30^{\circ}

x = Displacement in x direction = 400 ft

y = Displacement in y direction = 15 ft

y_0 = Height of hit = 2.5 ft

a_y = g = Acceleration due to gravity = 32.2\ \text{ft/s}^2

t = Time taken

Displacement in x direction

x=u_xt\\\Rightarrow x=u\cos\theta t\\\Rightarrow t=\dfrac{x}{u\cos\theta}\\\Rightarrow t=\dfrac{400}{u\cos30^{\circ}}\\\Rightarrow t=\dfrac{400}{u\dfrac{\sqrt{3}}{2}}\\\Rightarrow t=\dfrac{800}{u\sqrt{3}}

Displacement in y direction

y=y_0+u_yt+\dfrac{1}{2}a_yt^2\\\Rightarrow y=y_0+u\sin\theta t+\dfrac{1}{2}a_yt^2\\\Rightarrow 15=2.5+u\sin30^{\circ}(\dfrac{800}{u\sqrt{3}})+\dfrac{1}{2}\times -32.2\times (\dfrac{800}{u\sqrt{3}})^2\\\Rightarrow \dfrac{400}{\sqrt{3}}-\dfrac{10304000}{3u^2}-12.5=0\\\Rightarrow 218.44=\dfrac{10304000}{3u^2}\\\Rightarrow u=\sqrt{\dfrac{10304000}{3\times218.44}}\\\Rightarrow u=125.4\ \text{m/s}

The minimum initial velocity needed for the ball to clear the fence is 125.4\ \text{m/s}

5 0
3 years ago
CAN SOMEONE PLEASE HELP ME The expression (y – 9)2 is equivalent to which expression. Simplify and write in standard form. Show
hammer [34]

Answer:

yes

Step-by-step explanation:

7 0
3 years ago
one moving company charges $800 plus $16 per hour another moving company charges $720 plus $21 an hour at what number of hours w
Gekata [30.6K]

800 + 16x = 720 + 21x. Cancel out the 720 to get 80 + 16x = 21x. Subtract 16x from both sides to get 80 = 5x. Divide by 5 to get 16 = x, or x = 16. 16 hours. The charge is 800 + 16(16), = 720 + 21(16) which = 800 + 256 = 720 + 336 which = 1,056 = 1,056. Hope this helped!

6 0
3 years ago
Put the following equation of a line into slope-intercept form, simplifying all fractions. 5x+6y=42
Sever21 [200]

Answer:

y=-\frac{5}{6} + 7

Step-by-step explanation:

Slope-intercept formula requires us to isolate the y variable. We can do this in just a couple of steps.

1) Move 5x from the left to the right side by subtracting 5x from both sides. This cancels out the 5x on the left side, and remember, what we do to one side we must do to the other to keep the equation balanced.

6y=-5x+42

2) Divide both sides by 6. Again, we are cancelling out the 6 on the left but we must also divide on the right. This would mean dividing -5 and 42 by 6 to get:

y=-\frac{5}{6} + 7

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2 years ago
Elizabith uses 23.25 ounces of granola and 10.5 ounces of raisins for 15 servings of tril mix if each serving contains the same
d1i1m1o1n [39]
1.55 ounces of granola and 0.7 ounces of raisins in each serving
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