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hodyreva [135]
3 years ago
15

Two lines that lie in the same plane are coplanar. True or False?

Mathematics
1 answer:
melamori03 [73]3 years ago
6 0

Answer:

true

Step-by-step explanation:

co means to cooperate with or be part of the same thing

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Find the number of distinct triangles with the measurements a = 5, b =2, and a = 51 degrees.
elixir [45]
The answer is the option b. 1.

Two sides and one angle determine one unique triangle.

If the angle is the between the two sides, you just can use the rule known as SAS, Side Angle Side.

When that is the case you use the cosine rule.

When the known angle is not between the two sides but one of the others, you use sine theorem.

Then in any case when you know two sides and one angle of a triangle the other side and angles are determined, which implies that there is only one possible triangle.
4 0
3 years ago
A clock has the diameter<br> of 12 inches. What is the<br> area? asap plz
Cerrena [4.2K]

Answer:

113.04

Step-by-step explanation:

A= πr²

A= (3.14) (6²)

A= (3.14) (36)

A= 113.04

4 0
3 years ago
Read 2 more answers
What is the value of x that makes the statement true?<br><br> 12x + 16 = 50x - 3<br><br> x =
kvasek [131]

Answer:

  • x = 1/2

Step-by-step explanation:

Given

  • 12x + 16 = 50x - 3

Solving for x

  • 12x + 16 = 50x - 3
  • 50x - 12x = 16 + 3
  • 38x = 19
  • x = 19/38
  • x = 1/2
6 0
3 years ago
The weight of crackers in a box is stated to be 16 ounces. The amount that the packaging machine puts in the boxes is believed t
krek1111 [17]

Answer:

99.99% probability that the mean weight of a 50-box case of crackers is above 16 ounces

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 normally distributed samples are 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.

In this problem, we have that:

\mu = 16.15, \sigma = 0.3, n = 50, s = \frac{0.3}{\sqrt{50}} = 0.0424

What is the probability that the mean weight of a 50-box case of crackers is above 16 ounces?

This is 1 subtracted by the pvalue of Z when X = 16. So

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

By the Central Limit Theorem

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

Z = \frac{16 - 16.15}{0.0424}

Z = -3.54

Z = -3.54 has a pvalue of 0.0001

1 - 0.0001 = 0.9999

99.99% probability that the mean weight of a 50-box case of crackers is above 16 ounces

3 0
3 years ago
A confectioner mixes forty liters of 60% sugar syrup with a 10% syrup to make a 20% sugar syrup. How much of the 10% should she
katen-ka-za [31]
Whatever he/she said...................
3 0
3 years ago
Read 2 more answers
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