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3 years ago

6

Which shape has a larger area: a rectangle that is 7 inches by 3/4 inch,or a square with side length of 2 and 1/2 inches? Show y

our reason?

1 answer:

kiruha [24]3 years ago

3 0

Answer:

The square has the greatest area.

Step-by-step explanation:

Reason:

Rectangle: The area is 5.25 in2

3/4= 0.75

7 in x 0.75 in= 5.25 in2

Square: The area is 6.25 in2

2 1/2= 2.5

2.5 in x 2.5 in= 6.25 in2

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

or

Mean = 57

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

or

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

or

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

or

Variance = 1

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

Number of executives, n = 4

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

or

Mean = 57

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

or

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

or

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

or

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

2 years ago

The volume of a cone is 800/3 π cubic yards. The height is 8 yards. Find the radius.

emmasim [6.3K]

Answer:

ur mom

Step-by-step explanation:

there is none, it's just simply ur mom

- hope that solved ur problem :)

- Im ur dad btw

- Mac and cheese is pretty good 10/10

- DADDY

6 0

2 years ago

20 is 1/10 (one tenth) of what number?

NARA [144]

Answer:

20 is 1/10 of 200.

Step-by-step explanation:

100*(1/10) = 10

200*(1/10) = 20

Since 100 times 1/10 is 10, all you have to do is double it. So now, 200 times 1/10 is 20.

:) Hope this helps!

4 0

2 years ago

Find the value of m. (-3/4)-⁴×(-3/4)-¹¹ = (-3/4)^m

tatiyna

Answer:

m = - 15

Step-by-step explanation:

Using the rule of exponents

$a^{m}$ × $a^{n}$ = $a^{(m+n)}$ , then

$(-\frac{3}{4}) ^{-4}$ × $(-\frac{3}{4}) ^{-11}$ = $(-\frac{3}{4}) ^{m}$ , that is

$(-\frac{3}{4}) ^{(-4-11)}$ = $(-\frac{3}{4}) ^{m}$

$(-\frac{3}{4}) ^{-15}$ = $(-\frac{3}{4}) ^{m}$

Equating exponents gives

m = - 15

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2 years ago

Heyyy!! I could really use some helps this is really stressing me out and I wonder if anyone could explain this to me

elena-14-01-66 [18.8K]

Answer:35

Step-by-step explanation:

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2 years ago