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timama [110]
2 years ago
11

Use the law of cosines to gind the value of x and y.​

Mathematics
1 answer:
ivanzaharov [21]2 years ago
4 0

Answer: Answer:x = 49.8^\circ\\y = 54.6^\circStep-by-step explanation: Kindly refer to the image attached in the answer region for labeling of triangle.

Step-by-step explanation: u multiply the numbers

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How do I solve this I need help??​
Nimfa-mama [501]

Answer:

Follow the instructions on the sheet. I believe this is an example question, so it doesn't need to be solved.

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=0.2%2810-5c%29%20%3D%205c%20-%2016" id="TexFormula1" title="0.2(10-5c) = 5c - 16" alt="0.2(10-
san4es73 [151]

We are given,

\longrightarrow 0.2(10 - 5c) = 5c - 16

Solving the parenthesis

{ \longrightarrow 0.2 \times 10 - 0.2 \times 5c = 5c - 16 }

{ \longrightarrow 2 - 1c = 5c - 16 }

{ \longrightarrow 2  + 16 = 5c + 1c }

{ \longrightarrow  18  = 6c }

Dividing both sides by 6

{ \longrightarrow  3 = c }

Hence c = 3.

8 0
3 years ago
G is proportional to the square of t. If t=2 and g=64, find g when t=3.5.
choli [55]
If\ g\ is\ proportional\ to\ the\ t^2\ we\ have\ proportion\\\\&#10;g=64\ \ \ \ ---\ \ \ t^2=2^2=4\\\\\&#10;g=?\ \ \ ----t^2=(3,5)^ 2=12,25\\\\&#10;4g=64*12,25\\\\&#10;4g=784\ \ |:4\\\\g=196\\\\ Answer\ is\ g=196\ for\ t=3,5.
4 0
3 years ago
Identify the sampling designs that use voluntary response sampling. Check all that apply.
Marta_Voda [28]

Step-by-step explanation:  

A voluntary response sample is defined as a type of sample made up of self-chosen participants. These participants volunteer to take part in different research studies to share their opinions on topics that interest them. A voluntary response sample is made up of persons who volunteer to take research surveys.

3 0
2 years ago
Read 2 more answers
An article written for a magazine claims that 78% of the magazine's subscribers report eating healthily the previous day. Suppos
Schach [20]

Answer:

89.44% probability that less than 80% of the sample would report eating healthily the previous day

Step-by-step explanation:

We use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

p = 0.78, n = 675

So

\mu = E(X) = np = 675*0.78 = 526.5

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{675*0.78*0.22} = 10.76

What is the approximate probability that less than 80% of the sample would report eating healthily the previous day?

This is the pvalue of Z when X = 0.8*675 = 540. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{540 - 526.5}{10.76}

Z = 1.25

Z = 1.25 has a pvalue of 0.8944

89.44% probability that less than 80% of the sample would report eating healthily the previous day

8 0
3 years ago
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