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mixer [17]
3 years ago
15

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!???????????!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
shutvik [7]3 years ago
3 0

Answer:

Step-by-step explanation:

m<ARL and m<LRB together equal 180 degress.

x=37.4

So 2(37.4)-5 is

m<LRB=69.8

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You need to use the equation (secant)(exterior)=(secant)(exterior).
Learned about this today.
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On the unit circle, if s is the length of the arc subtended by a central angle θ, measured in radians, then s = θ.
Gennadij [26K]
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6 0
3 years ago
Find the distance between points A(2,3) and B(5,9) round to the nearest tenth
olya-2409 [2.1K]

To calculate the distance between two points, we can use a formula that is a variation Pythagorean Theorem. Look:


\mathsf{d=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}}


"d" represents the distance and coordinates are expressed as follows: (x, y)


Let's go to the calculations.


\mathsf{d=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}}\\\\ \mathsf{d=\sqrt{(5-2)^2+(9-3)^2}}\\\\ \mathsf{d=\sqrt{(3)^2+(6)^2}}\\\\ \mathsf{d=\sqrt{9+36}}\\\\ \mathsf{d=\sqrt{45}}\\\\ \mathsf{d=6.7082039324993690892275210061938...}\\\\ \underline{\mathsf{d\approxeq6.7}}



The answer is 6.7 uc.

4 0
3 years ago
Suppose a batch of metal shafts produced in a manufacturing company have a population standard deviation of 1.3 and a mean diame
lbvjy [14]

Answer:

54.86% probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

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 = 208, \sigma = 1.3, n = 60, s = \frac{1.3}{\sqrt{60}} = 0.1678

What is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

Lesser than 208 - 0.1 = 207.9 or greater than 208 + 0.1 = 208.1. Since the normal distribution is symmetric, these probabilities are equal, so we find one of them and multiply by 2.

Lesser than 207.9.

pvalue of Z when X = 207.9. So

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

By the Central Limit Theorem

Z = \frac{207.9 - 208}{0.1678}

Z = -0.6

Z = -0.6 has a pvalue of 0.2743

2*0.2743 = 0.5486

54.86% probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

6 0
3 years ago
Which equation is a radical equation.
OlgaM077 [116]

Hi there! :)


A radical equation is an equation in which a variable (ex. x, y, a, v) is under a radical sign. The only equation that has a variable under a radical (x) is the second option. There is an x next to the 2 under the radical.


I hope this helps, DM me if you have anymore questions. :)


~kaikers

6 0
3 years ago
Read 2 more answers
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