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2 years ago

7

The line of best fit for a scatter plot is y=5.29x-219. The actual value of y when x is 57 is 90. What is the residual value whe

n x is 57?
A. -7.47
B. 82.53
C. 7.47
D. -33.00

1 answer:

Tems11 [23]2 years ago

7 0

The answer here is B.

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What is the value of the expression i 0 × i 1 × i 2 × i 3 × i 4?

astraxan [27]

ANSWER

The value of the expression is
$- 1$

EXPLANATION

Method 1: Rewrite as product of
${i}^{2}$

The expression given to us is,

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4}$

We use the fact that
${i}^{2} = - 1$
to simplify the above expression.

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = {i}^{0} \times {i}^{1} \times {i}^{3} \times {i}^{2} \times {i}^{4}$

This implies,

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = {i}^{0} \times {i}^{2} \times {i}^{2} \times {i}^{2} \times {i}^{2} \times {i}^{2}$

We substitute to obtain,

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = 1\times - 1 \times - 1 \times - 1\times - 1 \times - 1$

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = 1\times 1 \times 1 \times - 1 = - 1$

Method 2: Use indices to solve.

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = {i}^{0 + 1 + 2 + 3 + 4}$

This implies that,

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = {i}^{10}$

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = ( {{i}^{2}} )^{5}$

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = ( - 1 )^{5} = - 1$

8 0

2 years ago

Read 2 more answers

You and two friends visit a pizza shop. There are 15 toppings. 5 toppings are meat and the rest are vegetable. Each of you order

viktelen [127]

Chance of u choosing meat is 5/15
first friend chooses, probability is 4/14
second friend chooses, probability is 3/13
so multiplying all 3 probablilities we get 2.2 percent

4 0

2 years ago

In an inventory of 100 sodas, 65 are

Ratling [72]

Answer:

5% I think

Step-by-step explanation:

Its mostly just a guess but I think its 5%

8 0

2 years ago

What is the ratio of the area of sector ABC to the area of sector DBE?

shusha [124]

We have to find the" ratio of the area of sector ABC to the area of sector DBE".

Now,

the general formula for the area of sector is

Area of sector= 1/2 r²θ

where r is the radius and θ is the central angle in radian.

180°= π rad

1° = π/180 rad

For sector ABC, area= 1/2 (2r)²(β°)

= 1/2 *4r²*(π/180 β)

= 2r²(π/180 β)

For sector DBE, area= 1/2 (r)²(3β°)

= 1/2 *r²*3(π/180 β)

= 3/2 r²(π/180 β)

Now ratio,

Area of sector ABC/Area of sector DBE = $\frac{2r^{2}*\ \frac{\pi}{180} beta}{3/2 r^{2}*\ \frac{\pi}{180}beta}$

= 4/3

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2 years ago

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You have a rectangular yard that measures 16 feet long 14 feet wide. It is covered in grass except for the center, where there i

aalyn [17]

First, get the area of the rectangular yard.
Area = L x W
Area = 16 X 14
Area = 224 square feet

Get the area of the circular fountain.
Area = pi x r^2
Area = 3.1415 x (4/2)^2
Area = 12.57 square feet

Getting grass portion.
224 - 12.57 = (C) 211.43 square feet

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2 years ago