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Pavlova-9 [17]
3 years ago
9

Name the property that justifies the given statement 2x_2y=2(x_y)

Mathematics
1 answer:
Gemiola [76]3 years ago
7 0

Answer:

Distributive property

Step-by-step explanation:

With the distributive property, it is possible to simplify expressions that consist of an expression term such as (a + b) being multiplied by one singular term such as c given as follows

c ×(a + b) = c·a + c·b

Factoring, which is the reverse  use of the distributive property enables the difference or the sum of two products, each having a common factor to be the presented as the difference  or the sum of two numbers multiplied by the common factor as follows;

2·x - 2·y = 2·(x - y).

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A ladder is leaning up against a 70 foot wall at an angle of elevation of 38° how far is the foot of the latter from the wall? R
SIZIF [17.4K]
Tanα=h/x

x=h/tanα

x=70/tan38 ft

x≈89.6 ft (to nearest tenth of a foot)

Note: the question seems strange, (because this would make the ladder almost 114 feet long!) or are we to assume as I did that the ladder is leaning against a point 70 feet high, or should if be a 70 foot ladder leaning against a wall of unknown height?

If it is just a 70 ft ladder at a 38° inclination the:

cosα=x/L

x=Lcosα

x=70cos38° ft

x≈55.2 ft
4 0
3 years ago
Provide the brackets in the right place to make the statement true.<br> -6x-3-5+2=5
inessss [21]
-6x or -6 ×-3-5+2 ????
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3 years ago
Hello:) anyone able to help with this question ? Thank you!
svetlana [45]

Answer:

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6 0
4 years ago
Read 2 more answers
Suppose that the mean and standard deviation of the scores on a statistics exam are 78 and 6.11, respectively, and are approxima
kiruha [24]

Answer:

0.7422 = 74.22% of scores are above 74.

Step-by-step explanation:

Problems of normally distributed samples 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.

In this problem, we have that:

\mu = 78, \sigma = 6.11

Calculate the proportion of scores above 74.

This is 1 subtracted by the pvalue of Z when X = 74. So

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

Z = \frac{74 - 78}{6.11}

Z = -0.65

Z = -0.65 has a pvalue of 0.2578

So 1-0.2578 = 0.7422 = 74.22% of scores are above 74.

8 0
4 years ago
Ray is 3 years older than half his sosters age if ray is 10 years old how old is his sister
REY [17]

Answer:

14 years old

Step-by-step explanation:

Assume Ray's sister's age is x.  

Ray's age is (x/2)+3, i.e (x+6)/2  

If Ray is 10yrs old,then  

 

(X+6)/2 = 10,  

x+6 = 20  

x = 14  

Therefore,Ray's siSter's /e is 14years

5 0
3 years ago
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