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kramer
2 years ago
14

Find the measure of the missing angles

Mathematics
1 answer:
vovikov84 [41]2 years ago
4 0

Answer:

∠c = 33°

∠b= 147°

Step-by-step explanation:

A line is 180°, and ∠c + 147° make up a linear pair.

180 - 147 = 33°

∠c is 33°.

∠b and 147° angle are vertical angles, meaning that they have the same angle measure.

∠b = 147°.

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A manufacturer of new light bulbs claims the average lifetime of its long-life bulb is more than 4000 hours. To test this claim,
natka813 [3]

Answer: C. 12.5

Step-by-step explanation:

Given : A manufacturer of new light bulbs claims the average lifetime of its long-life bulb is more than 4000 hours.

Population mean :  \mu=4000

Sample size : n= 100

Sample mean : \overline[x}=4500

Standard deviation: s=400

The value of test-statistic is given by :-

z=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}\\\\\Rightarrow\ z=\dfrac{4500-4000}{\dfrac{400}{\sqrt{100}}}\\\\\Rightarrow\ z= 12.5

Hence, the value of the test statistic for this problem is 12.5.

5 0
3 years ago
Together, two apples have 1/5 gram of fat. How many apples have a total of 4 grams of fat?
4vir4ik [10]
20 apples

1/5=0.2

0.2×20=4
4 0
3 years ago
Read 2 more answers
A stock trading company charges a commission of $10 per trade plus $0.025 per dollar value of stock traded. If your commission i
pickupchik [31]

Answer:

Value of the stock traded was $5200.

Step-by-step explanation:

In this question it is given that trading company charges commission of $10 per trade or transaction plus $.025 per dollar value of stock.We have to calculate the value of stock we traded if total commission (commission on trade value + commission on trade) is $140.

Let the value of stock traded was $x.

Then commission on value of the stock = x×.025

Commission on transaction = $10

Total commission = 140 = ( .025x + 10)

⇒.025x = 140-10 = 130

x = 130÷.025 = $5200

So the value of the stock = $5200

4 0
3 years ago
Read 2 more answers
A pet store contains 35 light green parakeets (14 females and 21 males) and 44 sky blue parakeets (28 females and 16 males). You
snow_tiger [21]
You can use this formula <span>P(AorB) = P(A) + P(B) - P(AandB) 

Given:
35 LG (14 F & 21 M)
44 SB (28 F & 16 M)

Req:
- the probability that it is a female (F) or a sky blue (SB)

Sol:
</span>P(F or SB) = P(F) + P(SB) - P(F and SB) 
                 = [(14 F + 28 F)/(35 + 44)] + [(44 SB)/(35 + 44)] - [(28 F)/(35 + 44)]
                 = 53.16 + 55.70 - 35.44
                 = 73.42%

You have to deduct 28 female parakeets from 44 sky blue parakeets because the 28 parakeets are already accounted for in the female parakeets. You can also think of how many ways you can choose a female parakeet and a sky blue parakeet. Add all female parakeets (14 + 28) = 42. Sky blue parakeet equaled to 44. Minus the 28 female parakeets included in the sky blue parakeet to avoid double counting. 42 + 44 - 28 = 58 divided by 79 (35 + 44) total parakeets = 73.42%


7 0
3 years ago
Estimate 92.49 - 63.854 by first rounding each number to the nearest whole number.
san4es73 [151]
92.49 -63.854 ≈ 92 -64 = 28

____
Actual difference is 28.636.
8 0
3 years ago
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