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3 years ago

How would I solve number six?

Mathematics

2 answers:

Basile [38]3 years ago

6 0

Answer:

Angle ABC is equal to 130.4°

Step-by-step explanation:

When an angle is bisected, it is divided into two equal parts, so if BD bisects ∠ABC, then the two angles that add up to it, ∠ABD and ∠DBC, must be equivalent.

We know that ∠ABD equals 65.2, so that must mean that ∠DBC also equals 65.2.

Here is our equation:

∠ABC=∠ABD+∠DBC

After substituting, we will get

∠ABC=65.2+65.2=130.4

130.4° is the measure of ∠ABC.

klasskru [66]3 years ago

4 0

140.4 ya ya ya ya what ever the person up said pls mark brainlist I really new to post a question and it won’t let me

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Someone answer this :)

lapo4ka [179]

Answer:

x=29.9 degrees

Step-by-step explanation:

Sides we are given: x and side length of 92.

Angle we are given: angle of measure 18.

Relative to the angle we are given, we have the opposite and adjacent sides, so we use TOA, as O is opposite and A is adjacent.

Tangent 18= x/92

Tangent 18 (92)=x

x=29.9 degrees

8 0

3 years ago

Read 2 more answers

AOSO<br>Evaluate.<br>1) 171-1-91

ANEK [815]

Answer:

Step-by-step explanation:

171-1-91=170-91=79

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2 years ago

Find the term to term rules for the following sequences. 28 25 22 19 16 .

Mekhanik [1.2K]

Answer:

a) next one is previous one -3

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2 years ago

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g Annual starting salaries in a certain region of the U. S. for college graduates with an engineering major are normally distrib

algol13

Answer:

The probability that the sample mean would be at least $39000 is of 0.8665 = 86.65%.

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 $39725 and standard deviation $7320.

This means that $\mu = 39725, \sigma = 7320$

Sample of 125

This means that $n = 125, s = \frac{7320}{\sqrt{125}}$

The probability that the sample mean would be at least $39000 is about?

This is 1 subtracted by the pvalue of Z when X = 39000. So

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

By the Central Limit Theorem

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

$Z = \frac{39000 - 39725}{\frac{7320}{\sqrt{125}}}$

$Z = -1.11$

$Z = -1.11$ has a pvalue of 0.1335

1 - 0.1335 = 0.8665

The probability that the sample mean would be at least $39000 is of 0.8665 = 86.65%.

4 0

2 years ago

Plz help last one ty!!!!!!!

azamat

My apologies on answering late...

Same situation as the previous problem, but this time, all you need to do is state the degree of the angle instead of just providing the angle itself.

ΔABC ≅ ΔDEF

Now, we can see that ∠C ≅ ∠F. Using this information, we can find ∠C on the first triangle ( which is $75$ ° ).

Since ∠C ≅ ∠F,

m∠F is $75$ °.

Hope I caught your question in time!

Have a good one! If you need anymore help, let me know.

4 0

3 years ago