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Vedmedyk [2.9K]
3 years ago
9

Cos(2θ) + 7 cos(θ) = 8

Mathematics
1 answer:
Crank3 years ago
4 0
This pretty hard i really don't know man sorry
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3 equivalent ratios for 20/15
castortr0y [4]
4/3
40/30
60/45
Simply multiply or divide both the 20 and the 15 to get an equivalent ratio.
7 0
3 years ago
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Which of the following describes a net of the prism
Grace [21]

The answer is C

Explanation; there are 2 triangles and 3 rectangles

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2u^2 + v when u=3 and v=7
Mariana [72]

Answer: 25

Step-by-step explanation:

There are two variables which is u and v and is given that u is 3 and v is 7  so input that into the expression and solve.

2(3)^2 + 7      Solve the exponent first

2(9) + 7      Now multiply then add

18 + 7 = 25

5 0
3 years ago
If outliers are discarded, then the retirement savings by residents of Econistan is normally distributed with a mean of $100,000
zavuch27 [327]

Answer:

P(X>117000)=P(\frac{X-\mu}{\sigma}>\frac{117000-\mu}{\sigma})=P(Z>\frac{117000-100000}{20000})=P(z>0.85)

And we can find this probability using the complement rule and the normal standard table or excel:

P(z>0.85)=1-P(z

The firgure attached illustrate the problem

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the retirement savings of a population, and for this case we know the distribution for X is given by:

X \sim N(100000,20000)  

Where \mu=100000 and \sigma=20000

We are interested on this probability

P(X>117000)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>117000)=P(\frac{X-\mu}{\sigma}>\frac{117000-\mu}{\sigma})=P(Z>\frac{117000-100000}{20000})=P(z>0.85)

And we can find this probability using the complement rule and the normal standard table or excel:

P(z>0.85)=1-P(z

The firgure attached illustrate the problem

7 0
3 years ago
Consider functions f and g.
nikklg [1K]

Answer:

C. 1

Step-by-step explanation:

Looking to the Venn's diagram, we can realize that g(1) = 0

If g(1) = 0, you just need to put 0 in place of x in f(x), so we have:

f(0) = 3√0 + 1

f(0) = 3•0 + 1

f(0) = 1

7 0
2 years ago
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