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jekas [21]
4 years ago
8

What is the measure of angle s?

Mathematics
2 answers:
mash [69]4 years ago
8 0
M<S = 1/2(80-40)
m<S = 40/2
m<S = 20
answer is A. 20
statuscvo [17]4 years ago
5 0
The angle formed by the intersection of two secants outside the circle equals half the difference of the <span>intercepted arcs:

</span>m∠S = (80-40)/2 = 40/2 = 20°<span>
</span>
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The mean salary of actuaries is LaTeX: \mu=\$100,000????=$100,000 and the standard deviation is LaTeX: \sigma=\$36,730????=$36,7
krek1111 [17]

Answer:

The lower limit of 95% confidence interval is 99002.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $100,000

Sample mean, \bar{x} = $111,000

Sample size, n = 36

Alpha, α = 0.05

Population standard deviation, σ = $36,730

First, we design the null and the alternate hypothesis

H_{0}: \mu = \$100,000\\H_A: \mu \neq \$100,000

We have to find the lower limit of the 95% confidence interval.

95% Confidence interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

111000 \pm 1.96(\dfrac{36730}{\sqrt{36}} )\\\\ = 111000 \pm 11998.4667 \\= (99001.5333,122998.4667)\\ \approx (99002,122999)

The lower limit of 95% confidence interval is 99002.

6 0
4 years ago
Carlton is solving a linear equation using the steps shown.
mario62 [17]

Answer:

D. Divide each side of the equation by –2.

Step-by-step explanation:

We have been given that Carlton is solving a linear equation using the steps shown.

Equation: -4x+12=-6x

Step 1: Add 4x to both sides: 12=-6x+4x

Step 2: Combine like terms: 12=-2x

To solve our given equation we will divide both sides of our equation by -2.

\frac{12}{-2}=\frac{-2x}{2}

-6=x

Therefore, the next step Carlton needs to complete in order to solve the equation is divide each side of the equation by –2.

6 0
3 years ago
Read 2 more answers
Sharif opened a bank account that initially had $0 in it. He
r-ruslan [8.4K]

150-35 is 115 dollers!!

7 0
3 years ago
A rectangular window is topped with a semicircle on top. the height of the rectangular part is 1 more than 3 times its width , w
tensa zangetsu [6.8K]

In general for a rectangle of dimensions w by h and a semicircle of diameter w we get an area:


A = wh + \frac 1 2 \pi (\frac w 2)^2


The halfs are because a semicircle is half a circle and a radius is half a diameter.


We're told


h = 1+ 3w


Substituting,


A(w) = w(1+3w) + \frac 1 2 \pi (\frac w 2)^2


Answer: B



5 0
3 years ago
Ms. Warren had each student take 3 pencils and create a triangle with them. Roberto has 3 pencils that measure 12 cm, 5 cm, and
cestrela7 [59]

Answer:

One.

Step-by-step explanation:

The reason why is because 12-5 = 7, meaning that your lowest length has to be 7. meaning, that you can only do one triangle.

7 0
3 years ago
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