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Sindrei [870]
2 years ago
6

Then find the values of x and y.

Mathematics
1 answer:
Virty [35]2 years ago
3 0

Answer:

y = 4

x = 104°

Step-by-step explanation:

3y = y + 8

-y -y

2y÷2 = 8÷2

2y÷2 cancels out so

8 ÷ 2 = 4

y = 4

all sides are congruent so all angles are congruent so that means that all the angles are 104°

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Compare these two functions. Which<br> has the greater rate of change?<br> y= -6x + 7
Diano4ka-milaya [45]

Answer:

y = -6x + 7 has greater rate of change

Step-by-step explanation:

for the first one, the rate of change is -6x and for the second one, the rate of change is -5x so the rate of change for y = -6x + 7 is greater.

Use the formula y2 - y1 / x2 - x1 to find the slop for the  second equation. the second equation is y = -5x

8 0
2 years ago
Bob ate 10 carrots and 7 hershey's kisses and the total calories were 263. fred ate 4 carrots and 8 hershey's kisses and the tot
Zarrin [17]
Two equations 

let c the calories in carrot
let h the  <span>calories in </span><span>hershey's kisses
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4c + 8h = 230                eq 1</span>
10 c + 7 h = 263             eq 2  


to solve the solution  we multiply eq  1 by 10 
we multiply <span>eq  2 by 4
</span>
40 c + 80 h =  2300
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we subtract the two equations we get
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h= 24 

and so in replacing h = 24 in the equation we get c = 9.5
4 0
3 years ago
A salesman earned commission of £2 520 for January. His rate of
Free_Kalibri [48]

Answer:

I'm sorry but I don't know English so I can't help you

Step-by-step explanation:

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6 0
2 years ago
(Can somebody find the sum of this) <br><br><br> (5+2i)+(8-3i)
7nadin3 [17]
Hey there!!

Okay so here are the steps....

(5 + 2i) + (8 - 3i)       <---- when we have exponents we should worry about the                                            "i" because it is equal to √-1 but here it isn't the case.
<u>

(13 - i)</u>
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7 0
3 years ago
Solve the problem. Use the Central Limit Theorem.The annual precipitation amounts in a certain mountain range are normally distr
bazaltina [42]

Answer:

0.8944 = 89.44% probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches.

Step-by-step explanation:

To solve this question, we use 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 establishes 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 of 109.0 inches, and a standard deviation of 12 inches.

This means that \mu = 109, \sigma = 12

Sample of 25.

This means that n = 25, s = \frac{12}{\sqrt{25}} = 2.4

What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches?

This is the p-value of Z when X = 112. So

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

By the Central Limit Theorem

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

Z = \frac{112 - 109}{2.4}

Z = 1.25

Z = 1.25 has a p-value of 0.8944.

0.8944 = 89.44% probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches.

7 0
3 years ago
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