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jek_recluse [69]
4 years ago
10

Which The following is a residual plot from a regression of a variable with the independent variable x.

Mathematics
1 answer:
katen-ka-za [31]4 years ago
7 0

Answer:

Yes, because the plot shows no apparent pattern.

Step-by-step explanation:

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State the type of angles and solve for the yven vatizble.
Alika [10]

Answer:

1st option

Step-by-step explanation:

The 2 angles are alternate exterior angles and are congruent , so

3x = 2x + 20 ( subtract 2x from both sides )

x = 20

4 0
3 years ago
The reference angle for 305
zaharov [31]

Answer:

55°

Step-by-step explanation:

The angle 305° is in the fourth quadrant

To find the related acute angle ( the reference angle ) subtract from 360°

reference angle = 360° - 305° = 55°

5 0
3 years ago
Please help me with this question​
Trava [24]

Applying the formula for the area of a sector and length of an arc, the value of k is calculated as: 27.

<h3>What is the Area of a Sector?</h3>

Area of a sector of a circle = ∅/360 × πr²

<h3>What is the Length of an Arc?</h3>

Length of arc = ∅/360 × 2πr

Given the following:

  • Radius (r) = 9 cm
  • Length of arc = 6π cm
  • Area of sector = kπ cm²

Find ∅ of the sector using the formula for length of acr:

∅/360 × 2πr = 6π

Plug in the value of r

∅/360 × 2π(9) = 6π

∅/360 × 18π = 6π

Divide both sides by 18π

∅/360 = 6π/18π

∅/360 = 1/3

Multiply both sides by 360

∅ = 1/3 × 360

∅ = 120°

Find the area of the sector:

Area = ∅/360 × πr² = 120/360 × π(9²)

Area = 1/3 × π81

Area = 27π

Therefore, the value of k is 27.

Learn more about area of sector on:

brainly.com/question/22972014

4 0
3 years ago
An investment company pays 8​% compounded semiannually. You want to have $12,000 in the future. (A) How much should you deposit
Leno4ka [110]
Before we start answering the question, let's define the compound interest formula:
A = P(1+ \frac{r}{n}) ^{nt}
Where:
<span>'A'</span>  is the amount of money in dollars
'P' is the principal amount of money in dollars
'r' is the interest rate (decimal)
'n' is the number of times interest is compounded per year
't' is the time in years

<span>(A) Find Principal Amount
</span><u /><span><u>Given:</u>
</span>A = 12,000
P = ?
r = 0.08
n = 2 (semiannually)
t = 5
Now we plug our values in and solve:
12,000 = P(1+ \frac{0.08}{2}) ^{(2)(5)}
12,000 = P(1.04) ^{10}
P = 8106.77
∴ You would have to deposit $8106.77 in order to have $12,000 in 5 years from now.

(B) Find Principal Amount
Same given values as above, with the exception of 't' which is now 10 instead of 5. 
12,000 = P(1+ \frac{0.08}{2}) ^{(2)(10)}
12,000 = P(1.04) ^{20}
P = 5476.64
∴ You would have to deposit $5476.64 in order to have $12,000 in 10 years from now.

Hope this helps!
4 0
4 years ago
In the following figure, m∠A = 55° and the m∠ACE = 86° . What is the m∠E = ? Show your work.
Paladinen [302]

the answer is

<E=31°.............. ..

3 0
3 years ago
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