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Elenna [48]
3 years ago
13

If tan ∅ (theta) = 2/7 what are the remaining trig functions? Help would be much appreciated.

Mathematics
1 answer:
Grace [21]3 years ago
6 0
Tan  = opposite side / adjacent      so opp = 2 and adj = 7
Now you need to find the hypotenuse of the right angled triangle.

hypotenuse = sqrt (2^2 + 7^2)  = sqrt 53

sin theta = opp / hyp  and cos theta = adj/hyp

cot theta = adj / opp , sec  theta = hyp/adj and  cosec theta = hyp/opp.
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A cup of raw Arborio rice weighs 7 ounces. One cup will serve 1 people. Arborio rice is purchased in 2-pound boxes for $1.99. Ho
kow [346]

The rice will cost $17.6  for serving 40 people

<h3><u>Solution:</u></h3>

We need to determine the cost of serving 40 people with rice

Arborio rice is purchased in 2-pound boxes for $1.99

The price of 1 pound box will be \frac{\$ 1.99}{2}=\$ 0.995

1 Pound (lb) is equal to 16 ounces (oz)

Therefore, the price of 16 ounces is  $0.995

A cup of raw Arborio rice weighs 7 ounces and it serve 1 people

\begin{array}{l}{\text { The cost per person is } \frac{\$ 0.995}{16} \times 7=\$ 0.44} \\\\ {\text { The cost for serving } 40 \text { people }=\$ 0.44 \times 40=\$ 17.6}\end{array}

Therefore rice will cost $17.6  for serving 40 people

7 0
3 years ago
In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,275 a
KATRIN_1 [288]

Answer:

100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of $2,275 and a standard deviation of $290.

This means that \mu = 2275, \sigma = 290

Sample of 65:

This means that n = 65, s = \frac{290}{\sqrt{65}}

Finding the mean to be at least $2,095 per month

This is 1 subtracted by the p-value of Z when X = 2095. So

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

By the Central Limit Theorem

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

Z = \frac{2095 - 2275}{\frac{290}{\sqrt{65}}}

Z = -5

Z = -5 has a p-value of 0.

1 - 0 = 1

100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month

7 0
2 years ago
50 pts !!! What is the product of x+2 and x-7? Write your answer in standard form.
sukhopar [10]

Answer:

x^2-7x+2x-14 or x squared minus seven x plus two x minus fourteen

Step-by-step explanation:

(x+2)*(x-7)=  x^2-7x+2x-14

First: x^2

Outer: -7x

Inner: 2x

Last: -14

7 0
2 years ago
Read 2 more answers
Find the measure of angle AEC
andreev551 [17]
Aec= 40

Explanation because it’s a 90 degree angle and dea = 50
So 90-50=40
Plea give me Brainiest
7 0
3 years ago
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Need help on this stastic and prob
sasho [114]

Answer:

it is correct they weigh the same

Step-by-step explanation:

7 0
3 years ago
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