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Sophie [7]
4 years ago
13

Which function is graphed below?

Mathematics
1 answer:
kupik [55]4 years ago
7 0

Answer:

f(x)=cos(x)

The amplitude is equal to 1. The period is 2π.

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Jimmy ran 3 miles west from home and then turned north and jogged 4 miles. in a straight line, how far is jimmy from home?
balu736 [363]
If u were to draw this out, u would have the shape of a right triangle....with the legs being 3 miles and 4 miles......and a straight line would be the hypotenuse. So we use the pythagorean theorem.

a^2 + b^2 = c^2
3^2 + 4^2 = c^2
9 + 16 = c^2
25 = c^2
sqrt 25 = c
5 = c

so Jimmy is 5 miles from home
5 0
4 years ago
Read 2 more answers
The U.S. Bureau of Labor Statistics reports that 11.3% of U.S. workers belong to unions (BLS website, January 2014). Suppose a s
vitfil [10]

Answer:

There is not enough evidence to support the claim that union membership increased.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 400

p = 11.3% = 0.113

Alpha, α = 0.05

Number of women belonging to union , x = 52

First, we design the null and the alternate hypothesis

H_{0}: p = 0.113\\H_A: p > 0.113

The null hypothesis sates that 11.3% of U.S. workers belong to union and the alternate hypothesis states that there is a increase in union membership.

Formula:

\hat{p} = \dfrac{x}{n} = \dfrac{52}{400} = 0.13

z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

Putting the values, we get,

z = \displaystyle\frac{0.13-0.113}{\sqrt{\frac{0.113(1-0.113)}{400}}} = 1.073

now, we calculate the p-value from the table.

P-value = 0.141636

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

Thus, there is not enough evidence to support the claim that union membership increased.

5 0
3 years ago
A cylindrical vase has a diameter of 6 inches. At the bottom of the vase, there are 8 marbles, each of diameter 3 inches. The va
DIA [1.3K]

Answer:

  π(3 in)²(10 in) -8(4/3)(1.5 in)³

Step-by-step explanation:

The volume of a cylinder with a radius of 3 inches and a height of 10 inches is ...

  V = πr²h = π(3 in)²(10 in)

The volume of 8 spheres with a radius of 1.5 inches is ...

  V = 8(4/3)πr³ = 8(4/3)π(1.5 in)³

The volume occupied by the water is the volume of the cylinder not occupied by the spheres. So, it is ...

  V = π(3 in)²(10 in) -8(4/3)(1.5 in)³ . . . . . . matches the 4th choice

5 0
3 years ago
For which value of Theta is tan Theta equal to sin Theta?<br>A. pi<br>B. pi/2<br>C. pi/4<br>D. pi/6​
AnnyKZ [126]

Answer:

a. pi

Step-by-step explanation:

7 0
3 years ago
How do you solve this?
Elena-2011 [213]
This has to be 20 characters long so I’m just saying stuff but it’s 1500
7 0
3 years ago
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