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3 years ago

Can someone help me solve #1 and #2 by working backward? Here is a picture:

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

3 0

1. 4(n+3)=16, n+3=4, n=1
2. m/4+3=24, m/4=21, m=84
1. three added to a number n implies n+3, 4 times that sum is 4 (n+3), to solve divide both sides by 4 then subtract three from both sides.
2. a number divided by 4 means n/4 adding it to three n/4+3, to solve subtract 3 from both sides then multiply both sides by 4

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Determine m∠U if m∠R = 9x - 10 and m∠U = 3x + 4.

german

Answer:

50.5 degrees

Step-by-step explanation:

Since this is a parallelogram then...

Angle U + Angle R = 180

3x+4+9x-10=180

Combine like terms

12x-6=180

Add 6 to both sides

12x=186

Divide both sides by 12

x=15.5

Now we plug 15.5 in for x to find Angle U

3(15.5)4=46.5+4=50.5

Angle U = 50.5 degrees

4 0

3 years ago

The angle of elevation to the top of a skyscraper is measured to be 2° from a point on the ground 1 mile from the building. How

Nadusha1986 [10]

See picture below for a geometric view.

Let x = height of building

We use basic trigonometry to find x.

The tangent function = opposite side of right triangle OVER adjacent side of right triangle.

tan(2°) = x/1

Solve for x.

After multiplying both sides by 1 (here 1 represents 1 mile), we get

tan(2°) = x.

We now use the calculator to find x.

In fact, you can take it from here. Use your calculator.

3 0

3 years ago

What is y+4=9 what is y?

amid [387]

Answer:

$y = 5$

Step-by-step explanation:

Subtract the 4 from 9

5 0

4 years ago

Read 2 more answers

Explain a strategy u could use to compare 2/6 and 5/8.

Schach [20]

Try to get the fractions with same denominators. Use the LCD system to find equal factors to a common denominator. Then just simply compare it.

*Note: Larger fraction is the greater numerator.*

Hoped this helped.

~Bob Ross®

6 0

3 years ago

Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.1

svet-max [94.6K]

Answer:

a) 0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces

b) 0.0129 = 1.29% probability that the mean weight is more than 9.0 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 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 $s = \frac{\sigma}{\sqrt{n}}$ .