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BlackZzzverrR [31]
3 years ago
15

Question choices 85 50 42.5 59 1.7 PLEASE HELP PLS

Mathematics
1 answer:
aleksley [76]3 years ago
6 0

Answer:

42.5

Step-by-step explanation:

Multiply 50 by 0.85, which equals 42.5.

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Tom wants to reach a second floor window on a house that is 20 feet above ground. If he must put the ladder at a 70 degree angle
LuckyWell [14K]
Assuming the house is parallel to the ground, your triangle is made up by the house, the ground, and the ladder. Using sin(x) = opposite/hypotenuse on the angle 70 degrees, you would have sin(70) = 20/x (because 20 is the side opposite of the angle connecting the ladder and the ground)
--> simplify sin(70) * x = 20 --> x = 20 / sin(70 
--> substitute (and make sure your calculator in in degrees) x= 21. 284
7 0
3 years ago
Given: MzQVR = 49°
faust18 [17]

Answer:

4. Vertical angles theorem

6. 3x + 4 =49

Step-by-step explanation:

3 0
3 years ago
Find the indicated probability. The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a
Alecsey [184]

Given Information:

Mean weekly salary = μ = $490

Standard deviation of weekly salary = σ = $45

Required Information:

P(X > $525) = ?

Answer:

P(X > $525) = 21.77%

Step-by-step explanation:

We want to find out the probability that a randomly selected teacher earns more than $525 a week.

P(X > 525) = 1 - P(X < 525)\\\\P(X > 525) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\P(X > 525) = 1 - P(Z < \frac{525 - 490}{45} )\\\\P(X > 525) = 1 - P(Z < \frac{35}{45} )\\\\P(X > 525) = 1 - P(Z < 0.78)\\\\

The z-score corresponding to 0.78 from the z-table is 0.7823

P(X > 525) = 1 - 0.7823\\\\P(X > 525) = 0.2177\\\\P(X > 525) = 21.77 \%

Therefore, there is 21.77% probability that a randomly selected teacher earns more than $525 a week.

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 0.7, 2.2, 1.5 etc.)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 0.78 then go for 0.08 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

3 0
3 years ago
Simplify. 9 – (–6) – 12
kondor19780726 [428]
9+6=15 and 15-12=3 so this =3 the -(-6) becomes positive
5 0
3 years ago
Read 2 more answers
Find the value of each variable. Write the<br> equation and solve showing ALL the work.
Wittaler [7]

Answer:

x = 96°

y = 102°

Step-by-step explanation:

Angles on a straight line add up to 180

78 + y = 180

y = 180 - 78

y = 102

Angles in a quadrilateral add up to 360

78 + 90 + x + x = 360

78 + 90 + 2x = 360

168 + 2x = 360

2x = 360 - 168

2x = 192

x = 192/2

x = 96°

3 0
3 years ago
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