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MaRussiya [10]
3 years ago
6

an equilateral triangle has one angle measureme of 60. What is the measurement of the two remaining angles?

Mathematics
1 answer:
Anna [14]3 years ago
6 0
The equilateral triangle has one angle measurement of 60 what is the measurement of two remaining angles divide 60 by 2 with sugar 30 that your answer
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Ms. Li spent $840 on a vacation. She spent 2/3 of the amount on a plane ticket and 1/2 of the remaining amount on food. How much
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\bf 840\cdot \cfrac{2}{3}\impliedby \textit{on the plane ticket}
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\left( 840\cdot \cfrac{2}{3} \right)\cdot \cfrac{1}{2}\impliedby \textit{ on food}
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(8n+1)(6n-3) please solve in quadratic formula
cestrela7 [59]
Use the distributive property.

(8n+1)(6n-3)=(8n)(6n)+(8n)(-3)+(1)(6n)+(1)(-3)\\\\=48n^2-24n+6n-3=48n^2-18n-3
5 0
3 years ago
SinA/sinB=2/√3 and cosA/cosB=1/√2 ,tan^2B=?​
Talja [164]

Answer:

3/8 tan²A

Step-by-step explanation:

sinB = √3/2 sinA and cos B= √2 cosA (from given)

6 0
2 years ago
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
An architect is drafting plans for a new supermarket. There will be a space 144 inches long for rows of NESTED shopping carts (T
slamgirl [31]

Answer:

Step-by-step explanation:

8 0
3 years ago
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