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Naily [24]
3 years ago
9

The measure of an angle is 78°. What is the measure of a complementary angle?

Mathematics
2 answers:
ki77a [65]3 years ago
6 0
First you need to know the definition of a complementary angle. That means that two angles add up to 90 degrees, or a right angle.

To find an angle complementary to a 78 degree angle, you need to subtract 78 from 90. 

90 - 78 = 12
ivolga24 [154]3 years ago
6 0
Complementary angles add up to 90°.
It is given that one angle is 78°.
Let the other angle be x.
Therefore x+78=90
x=90-78
x=12°
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The director of a state agency believes that the average starting salary for clerical employees in the state is less than ​$35 c
MrRissso [65]

Answer:

There is not enough evidence to conclude that  average starting salary for clerical employees in the state is less than ​$35,000 per year.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 35,000 dollars per year

Sample mean, \bar{x} = 34,700 dollars per year

Sample size, n = 100

Alpha, α = 0.10

Population standard deviation, σ = 3,500 dollars per year

First, we design the null and the alternate hypothesis

H_{0}: \mu = 35,000\text{ dollars per year}\\H_A: \mu < 35,000\text{ dollars per year}

We use one-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{34700 - 35000}{\frac{3500}{\sqrt{100}} } = -0.8571

Now, z_{critical} \text{ at 0.10 level of significance } = -1.28

Since,  

z_{stat} > z_{critical}

We fail to reject the null hypothesis and accept the null hypothesis.

Thus, there is not enough evidence to conclude that  average starting salary for clerical employees in the state is less than ​$35,000 per year.

3 0
3 years ago
A company loses $5,400 as the result of a manufacturing defect. Each of the 8 owners have agreed to contribute an equal amount,
vredina [299]

Answer:

A. 5400-8x

B. $600

Step-by-step explanation:

5400-8x=600

8x=5400-600

x=4800/8=600

5 0
3 years ago
4. From 5 faculty members, a committee of 2 is to be formed. In how many ways can this be done?
ohaa [14]

Answer:

3

Step-by-step explanation:

7 0
3 years ago
Savannah is 9 years older thanDevante. The sum of their ages is 53. How old are Savannah and Devante?
pickupchik [31]

Answer:

Devante is 23 and Savannah is 32.

Step-by-step explanation:

We can set up a system of equations.

s - savannah's age

d - devante's age

s = d + 9

s + d = 53

Now we can substitute (d + 9) for s in the second equation.

(d + 9) + d = 53

2d + 9 = 53

2d = 46

<u>d = 23</u>

To find Savannah's age, we just add 9 to Devante's age. (plugging in 23 for d)

23 + 9 = 32

<u>s = 32</u>

6 0
3 years ago
Part K
konstantin123 [22]

Answer:

i dont see a circle

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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