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vovangra [49]
2 years ago
6

Find the variance for the following data set: 88, 40, 10, 52, 33, 55, and 86.

Mathematics
1 answer:
musickatia [10]2 years ago
7 0

Answer:

Variance s2 = 788.33333

Standard Deviation s = 28.077274

Count n = 7

Mean x¯¯¯ = 52

Sum of Squares SS = 4730

Step-by-step explanation:

You might be interested in
The length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle 0, is 1.42. What is t
larisa86 [58]

Answer:

16.4 feet.

Step-by-step explanation:

We have been given that the length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle \theta, is 1.42. We are asked to find the length of the side opposite angle \theta.

We can represent our given information in an equation as:

\text{tan}(\theta)=1.42

Now, we will use arctan to solve for theta as:

\theta=\text{tan}^{-1}(1.42)

\theta=54.85^{\circ}

Now, we will use sine to solve for opposite side as sine relates opposite side of right triangle with hypotenuse.

\text{sin}=\frac{\text{Opposite}}{\text{hypotenuse}}

\text{sin}(54.85^{\circ})=\frac{\text{Opposite}}{20}

20\cdot \text{sin}(54.85^{\circ})=\text{Opposite}

20\cdot 0.81764=\text{Opposite}

\text{Opposite}=20\cdot 0.81764

\text{Opposite}=16.3528

\text{Opposite}=16.4

Therefore, the opposite side to angle theta is 16.4 feet.

5 0
3 years ago
Read 2 more answers
( what’s the better deal ) please help me with this, i’ve been trying for a long time
ValentinkaMS [17]

Answer:

Brand A is the better deal!

Step-by-step explanation:

Let's start by comparing.

We know brand B has the following cost: 5 ounces = $3.75

10 ounces $7.50 and 16 ounces = $12

Now check the graph.

6 ounces cost $3

12 ounces cost $6

20 ounces cost $10

I don't think we need to look any further but brand A is the better deal!

8 0
2 years ago
Find the value of h(-67) for the function below. h(x) = -49x − 125 A. 3,283 B. -3,408 C. 3,158 D. -1.18
Paraphin [41]

Answer:

<h2>The answer is option C</h2>

Step-by-step explanation:

h(x) =  - 49x - 125

To find h(-67) , substitute the value of x that's - 67 into h(x). That is for every x in h(x) , replace it with - 67

We have

h( - 67) =  - 49( - 67) + 125 \\  = 3283 - 125

We have the final answer as

<h3>h( - 67) = 3158</h3>

Hope this helps you

3 0
3 years ago
Read 2 more answers
Which factors the 32 at 48 comment
finlep [7]
48-32=16 
so yur answer is 16
hope it helped
4 0
3 years ago
Read 2 more answers
Round your answer to the nearest hundredth.
Elena L [17]

Answer:

Step-by-step explanation:

Tan(A) = opposite / adjacent

A = 35

opposite = x

adjacent = 2

Solution

Tan(A) = x / 2             Multiply both sides by 2

2*tan(35) = x

Tan(35) = .7002

2 * 0.7002 = x

x = 1.400 or 1.40 to the nearest 1 hundredth.

4 0
2 years ago
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