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grin007 [14]
3 years ago
12

What is both the x in c with steps please

Mathematics
1 answer:
8_murik_8 [283]3 years ago
7 0

Answer:

Fig (c)

Step-by-step explanation:

30° + x° + x° + (180° - 70°) + (180° - 60°) = 540°

260° + 2x° = 540°

x = 280° /2

x = 140° (ANS)

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Step-by-step explanation:

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3 0
2 years ago
Sandra went for pizza with friends. She ordered a slice of pizza with a side salad for $9.50. The tax was 6.2%.
Anvisha [2.4K]

The total amount of money Sandra paid for a slice of pizza with a side salad including tax is $10.089

<h3>How to find total price including tax</h3>

  • Price of slice of pizza with a side salad = $9.50
  • Tax = 6.2%

Total amount Sandra paid = Price of slice of pizza with a side salad + (Tax × Price of slice of pizza with a side salad)

= 9.50 + (6.2% × 9.50)

= 9.50 + (0.062 × 9.50)

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= $10.089

Therefore, the total amount Sandra paid is $10.089

Learn more about percentage:

brainly.com/question/843074

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2 years ago
Devon is trying to find the unit price on a 6-pack of drinks on sale for $2.99. His sister says that at that price, each drink w
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Answer:

Step-by-step explanation:

Devon's sister is incorrect.

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Thus each drink is approx. $0.50

She would find it if she divided total number of drinks by the total price

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2 years ago
A ski lift is designed with a total load limit of 20,000 pounds. It claims a capacity of 100 persons. An expert in ski lifts thi
Yanka [14]

Answer:

0.5 = 50% probability that a random sample of 100 independent persons will cause an overload

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 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.

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.

For the sum of n values of a distribution, the mean is \mu \times n and the standard deviation is \sigma\sqrt{n}

An expert in ski lifts thinks that the weights of individuals using the lift have expected weight of 200 pounds and standard deviation of 30 pounds. 100 individuals.

This means that \mu = 200*100 = 20000, \sigma = 30\sqrt{100} = 300

If the expert is right, what is the probability that a random sample of 100 independent persons will cause an overload

Total load of more than 20,000 pounds, which is 1 subtracted by the pvalue of Z when X = 20000. So

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

Z = \frac{20000 - 20000}{300}

Z = 0

Z = 0 has a pvalue of 0.5

1 - 0.5 = 0.5

0.5 = 50% probability that a random sample of 100 independent persons will cause an overload

5 0
3 years ago
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