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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:

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Which is the equation of the line that passes through the point (-5, -2)
Lilit [14]

Answer:

F) y=3x+13

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=3(x-(-5))

y+2=3(x+5)

y=3x+15-2

y=3x+13

5 0
2 years ago
Find sin A for the triangle below. Give the exact value as an expression and an approximation to the nearest ten-thousandth. Not
Feliz [49]

the exact value of sin A  to the nearest ten- thousandth is 0. 6625

<h3>Using the pythagorean theorem</h3>

a² + b² = c²

The opposite side is unknown, so use the pythagorean theorem to find it

c = hypotenuse = 4

a= opposite site = ?

b= adjacent side = 3

Substitute into the formula

4² = a² + 3²

16 = a² + 9

a² = 16 -9 = 7

Find the square root

a =√7 = 2. 65

To find Sin A, use

Sin A = opposite side ÷ hypotenuse

Sin A = 2. 65 ÷ 4 = 0. 6625

Thus,  the value of sin A is 0. 6625

Learn more about pythagorean theorem here:

brainly.com/question/654982

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7 0
2 years ago
Gulf gully and jump rope road are a pretty far distance.If the scale for the map is 0.5 inches=2.3 miles,what is the actual dist
Nezavi [6.7K]

Answer:

12 cm = 21.62 miles

6 cm = 11.04 miles

Step-by-step explanation:

To find the distance, set up a proportion. A proportion is two equal ratios set equal to each other. We form the ratios by using corresponding values. We write a ratio of \frac{map}{real world} and simplify.

We know \frac{map}{real world}=\frac{0.5in}{2.3 miles}. We know the distance on the map is 12 cm and 6 cm whish converts to 4.7 inches and 2.4 inches. We can write \frac{4.7in}{xmiles} and  \frac{2.4in}{xmiles}

We set them equal.

\frac{0.5}{2.3}=\frac{4.7}{x}

and

\frac{0.5}{2.3}=\frac{2.4}{x}

To solve each proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

2.3(4.7)=0.5(x)\\10.81=0.5x\\\frac{10.81}{0.5}=\frac{0.5x}{0.5} \\21.62 miles=x

and

2.3(2.4)=0.5(x)\\5.52=0.5x\\\frac{5.52}{0.5}=\frac{0.5x}{0.5} \\11.04 miles=x

8 0
3 years ago
Yao's Asian Market sells dragon fruit for $3 each. The store usually sells 20 dragon fruits a week. Dragon fruit is in season, a
exis [7]
The quantity demanded would increase due to the cheaper price people would want to take advantage and buy it when it was on sale. There is not enough information to determine whether the supply or demand would maintain so D is your answer.

4 0
3 years ago
A rectangular garden is 6 feet long and 4 feet wide. A second rectangular garden has dimensions that are double the dimensions o
Talja [164]

Percent change is 100%

Step-by-step explanation:

  • Step 1: Find the perimeter of the first garden when length = 6 ft and width = 4 ft

Perimeter = 2 (length + width)

                = 2 (6 + 4) = 2 × 10 = 20 ft

  • Step 2: Find the perimeter of the second garden when length = 12 ft and width = 8 ft (∵ dimensions are doubled)

Perimeter = 2 (12 + 8) = 2 × 20 = 40 ft

  • Step 3: Find the percent change in perimeter

Percent Change = Final value - initial value/Initial Value × 100

                            = (40 - 20/20) × 100

                            = 1 × 100 = 100%

5 0
3 years ago
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