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2 years ago

3. Find the value of x and explain your reasoning (4x - 8) (3x + 10) (11x + 2y)º

Mathematics

1 answer:

jolli1 [7]2 years ago

6 0

The question is an illustration of angles on a straight line

The value of x is 25.4

<h3>How to determine the value of x</h3>

In the figure, angles 1 and 2 are angles on a straight line

Where:

Angle 1 = 4x - 8
Angle 2 = 3x + 10

So, we have:

$4x - 8 + 3x + 10=180$

Collect like terms

$4x + 3x =180 - 10 + 8$

$7x =178$

Divide through by 7

$x =25.4$

Hence, the value of x is 25.4

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Answer:

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Step-by-step explanation:

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2 years ago

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Mrs. Gomez paid $780 for a new backyard fence. A new gate cost an additional $225. The fencing was a total of 120 feet. What was

Andrews [41]

I would do it this way

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2 years ago

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borishaifa [10]

<h3>Given</h3>

x + 2 ≥ 6

the graph for the solution

<h3>Solution</h3>

We can solve for x by subtacting 2 from both sides of the inequality.

... x + 2 -2 ≥ 6 -2

... x ≥ 4 . . . . . . . . . . simplify

The answer is read, "x is greater than or equal to 4." This means the solution is those real numbers that are to the right of 4 on the number line, and including 4 on the number line. Numbers to the left of 4 are <em>not included</em>. The inclusion of the number 4 is shown by putting a solid dot there (not an open circle).

The appropriate choice is the 3rd one.

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2 years ago

9. Gold miners in Alaska have found, on average, 12 ounces of gold per 1000 tons of dirt excavated with a standard deviation of

netineya [11]

Answer:

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

Step-by-step explanation:

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.

In this problem, we have that:

$\mu = 12, \sigma = 3$