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BabaBlast [244]
3 years ago
12

The comeplement of 99

Mathematics
1 answer:
harkovskaia [24]3 years ago
3 0
1. the complement is when two angles add up to 99 degrees and the supplement is when the two angles add up to 180 degrees.

2. Let x be the measure of the unknown angle .

3. Let 90 -x be it's complement and 180- x be the supplement of the angle .

4. Given 90-x=3x+9 the measure of the complement of an angle is 3x+9. Solve using the following steps.

99-x=3x+9
Add x-9 to both sides to isolate x-terms on right side and numbers on left
90-x+x-9=3x+9+x-9

90-x+x-9=3x+9+x-9

91=4x
divide by 4 to both sides yields
91/4=x

5. Given 3x+99=180-x. The measure of the supplement of an angle is 3x+99. So
3x+99=180-x

Add x+99 to both sides of equations to isolate x on right side and number on left
3x+99+x-99=180-x+x-99

4x=91

X=91/4

6. The angle is x=91/4
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Suppose 250 randomly selected people are surveyed to determine if they own a tablet. Of the 250 surveyed, 98 reported owning a t
SashulF [63]

Answer:

The true proportion for the population would be between 0.386 and 0,398 (0.392±0.06) in 95% confidence level.

Step-by-step explanation:

Confidence interval for true population proportion can be computed as p±ME where

  • p is the sample proportion ( \frac{98}{250}=0.392)
  • ME is the margin of Error from the mean

and margin of error (ME) can be found using the formula

ME=\frac{z*\sqrt{p*(1-p)}}{\sqrt{N} } where

  • z is the corresponding statistic in 95% confidence level (1.96)
  • p is the sample proportion ( \frac{98}{250}=0.392)
  • N is the sample size (250)

Using the numbers

ME=\frac{1.96*\sqrt{0.392*0.608}}{\sqrt{250} } ≈ 0.06

Then the true proportion for the population would be p±ME = 0.392±0.06 in 95% confidence level.

6 0
3 years ago
1. Kim and Cyndi are starting a business tutoring students in math. They rent an office for $400 per month and charge $40 per ho
Anon25 [30]
<span>$40 per hour
15 students per week
Each hourly student earns them $40 and there are 15 students, so this is multiplication.
40 * 15 = 600 per week
There are 4 weeks per month to earn 600 each week, this is again multiplication.
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Please I need help please!!!!
Orlov [11]

Answer:

x=−16/3 or x=2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x2+10x−8=24

Step 2: Subtract 24 from both sides.

3x2+10x−8−24=24−24

3x2+10x−32=0

Step 3: Factor left side of equation.

(3x+16)(x−2)=0

Step 4: Set factors equal to 0.

3x+16=0 or x−2=0

8 0
3 years ago
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