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maxonik [38]
2 years ago
10

What is the standard deviation of this data set? 12, 14, 9, 11, 10, 15, 16, 12, 7, 14

Mathematics
1 answer:
Tju [1.3M]2 years ago
4 0

Answer:

The standard deviation is 2.6832815729997

Step-by-step explanation:

SD^2=(12-12)^2+...+(14-12)^2/10

SD^2=72/10

SD^2=7.2

SD=squeare root of 7.2

SD=2.6832815729997

You might be interested in
t hits the square dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular regio
masha68 [24]

Given:

Required:

To find the probability that the dart land will be in the shaded region.

Explanation:

Area of the circle is given by the formula:

A=\pi r^2

Where r = radius

Thus the area of the circular region

\begin{gathered} =(3.14)\times(2)^2 \\ =3.14\times4 \\ =12.56\text{ square in.} \end{gathered}

The area of the square is given by the formula:

=(side)^2

Thus the area of the given square

\begin{gathered} =(6)^2 \\ =36\text{ square in.} \end{gathered}

The probability of an event is given by the formula:

P=\frac{number\text{ of possible outcomes}}{Total\text{ number of outcomes}}

The probability that the dart land will be in the shaded region

=\frac{Area\text{ of the shaded region}}{Area\text{ of the square}}

Thus probability

\begin{gathered} P=\frac{12.56}{36} \\ P=0.3488 \\ P=0.349 \end{gathered}

Final answer:

Thus the probability that the dart land will be in the shaded region is 0.349.

6 0
1 year ago
Where is EF to the nearest tenth??
Katena32 [7]

Answer:

37.7

Step-by-step explanation:

EF and ED define the Tangent of D

Tan(37) = side opposite D / side adjacent to D

Opposite means a line (FE) that is not connected to the angle. It is never the longest line (hypotenuse) in a Right Triangle

Adjacent means the leg that is connected to the angle, but is not the hypotenuse.

Tan(D) = opposite over adjacent

Opposite = x

Adjacent = 50

Tan(37) = 0.7536 rounded to 4 places, but I've kept the exact value in my calculator.

0.7536 = x / 50     Multiply both sides by 50

0.7536*50 = x

x = 37.6777

The nearest 1/10 is 37.7

6 0
2 years ago
The sum of b and 24 <br>18 less than x <br>an amount of a divided by 3​
telo118 [61]

Answer:

b+24

x-18

a/3

Step-by-step explanation:

3 0
2 years ago
Each year on the same day, Susan deposits $175 into a saving account that earns simple interest at a rate of 3.5%. She makes no
igomit [66]
The amount after time t will be given by simple interest formula given by:
A=prt/100
where:
principle,p=$175
rate, r=3.5%
time, t=5 years
thus the rate earned after 5 years will be:
A=(175*3.5/100*5)
A=$30.625
Answer: B] 30.65

3 0
3 years ago
What do you know to be true about the values of p and q.
Jobisdone [24]

Answer:

A. p = q

Step-by-step explanation:

For each triangle, add the angles together and then subtract the sum from 180°.

First triangle:

60° + 50° = 110°

180° - 110° = 70°

Missing angle = 70°

Second triangle:

80° + 30° = 110°

180° - 110° = 70°

Missing angle = 70°

Hope this helps :)

6 0
3 years ago
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