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2 years ago

The perimeter of a rectangle is 78 cm. If the length is 24 cm, how wide is the rectangle?

Mathematics

1 answer:

KIM [24]2 years ago

8 0

Answer:

15(cm)

Step-by-step explanation:

48 + 2w = 78

2w = 30

w = 15(cm).

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There are three executives in an office, ages 56, 57, and 58. If a 57-year-old executive enters the room, the

vova2212 [387]

Answer:

option (c) The mean age will stay the same but the variance will decrease

Step-by-step explanation:

Case I: For 3 executives of ages 56, 57 and 58

Number of executives, n = 3

Mean = $\frac{\textup{56 + 57 + 58 }}{\textup{3}}$

Mean = 57

Variance = $\frac{\sum{(Data - Mean)^2}}{\textup{n-1}}$

Variance = $\frac{(56 - 57)^2+(57-57)^2+(58-57)^2}{\textup{3-1}}$

Variance = $\frac{1+0+1}{\textup{2}}$

Variance = 1

For Case II: For 4 executives of ages 56, 57, 58 and 57

Number of executives, n = 4

Mean = $\frac{\textup{56 + 57 + 58 + 57 }}{\textup{4}}$

Mean = 57

Variance = $\frac{\sum{(Data - Mean)^2}}{\textup{n-1}}$

Variance = $\frac{(56 - 57)^2+(57-57)^2+(58-57)^2+(57-57)^2}{\textup{4-1}}$

Variance = $\frac{1+0+1+0}{\textup{3}}$

Variance = 0.67

Hence,

Mean will remain the same and the variance will decrease

Hence,

The correct answer is option (c) The mean age will stay the same but the variance will decrease

3 0

3 years ago

The diameter of a circle is 16 kilometers. Find the area of the circle.

Elden [556K]

The diameter of a circle is 16 kilometers. Then the area of the circle is $201.062 \mathrm{km}^{2}$

Solution:

Given that , the diameter of a circle is 16 kilometers

We have to find the area of the circle .

Radius is half of diameter.

$\begin{array}{l}{\text { diameter }=2 \times \text { radius } \rightarrow \text { radius }=\frac{\text {diameter}}{2}} \\\\ {\rightarrow \text { radius }=\frac{16}{2} \rightarrow \text { radius }=8 \text { kilometers. }}\end{array}$

The area of circle is given as:

$\begin{array}{l}{\text { area of a circle }=\pi \times r^2 \\ {\text { Area of a circle }=\pi \times 8^{2}=\pi \times 64=64 \times 3.14=201.062}\end{array}$

Hence, the area of the circle is 201.062 $km^2$

4 0

3 years ago

Need help really quick look at the picture thank you soooooooo,, muchh

vovangra [49]

Answer:

The answer would be -7/12

Step-by-step explanation:

Use math.way itll help you tremendously :)

6 0

3 years ago

Graph the parabola 3x^2+6x-24

brilliants [131]

We have the following function:
F (x) = 3x ^ 2 + 6x-24
We observe that it is a quadratic equation.
The graph is therefore a parabola.
Its cut points are:
(-4, 0)
(2, 0)
Answer:
See attached image to see graph of the function

7 0

3 years ago

Each day for two workweeks (10 days total), George weighs 4 bags from that day’s production. If the average of the means is 14 o

alina1380 [7]

Answer:

a. 13.7084 oz.

Step-by-step explanation:

Formula for Lower Control Limit =

(LCL = x-bar - A²R-bar)

x - bar = 14 oz

A2 = 0.729

R - bar = 0.4 oz

= 14 - 0.729 × 0.4

= 14 - 0.2916

= 13.7084oz

7 0

3 years ago