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My name is Ann [436]
3 years ago
14

I really need help with distributive property

Mathematics
2 answers:
Strike441 [17]3 years ago
8 0

A quick explanation of distributive property:

Distributive property happens when multiple numbers are on the inside of parenthesis. There is a number on the outside that needs to be multiplied to both of the numbers on the inside of the parenthesis.

Distributive property is used because according to PEMDAS (the order in which you need to do operations in a multi-step equation) You need to do the problem on the INSIDE of the parenthesis first, because that's what the P in PEMDAS stands for. However, you cannot always do the operation on the inside of the parenthesis first. This normally happens because instead of having two numbers inside of the parenthesis, you have  at least one variable (letter that can be any number).

An example is this: (4 + 6) 3. This equation needs to follow PEMDAS, and you need to add the numbers inside the parenthesis first, before you multiply them by the number on the outside. However, if you distributed the 3 by multiplying it to both of the numbers inside the parenthesis BEFORE you added them together, you would get the same answer.  6 + 4 = 10 and 10 x 3 is thirty. 6 x 3 = 18 and 4 x 3 = 12. 12 + 18 = 30. However you shouldn't use distributive property unless you have an equation like this:

(x + 6) 3. Now you can't add x and 6 together, because x is a variable, and variables cannot be added to numbers, but we can use distributive property to multiply to both x and 6. then the equation is:  3x + 18.

docker41 [41]3 years ago
6 0

Answer:

To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Step-by-step explanation:

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3 years ago
One number is 16 more than a second number. The sum of the first number and twice the second number is 139. What is the answer ?
Nezavi [6.7K]
Answer first number  = 57  second number = 41
x= 16 + y
x + 2y = 139

16+ y + 2y =139
16 + 3y =139
16-16 +3y = 139-16
3y = 123
3/3y = 123/3
y= 41

x= 16+y
x = 16+41
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3 years ago
PLZ HELP ill GIVE BRAINIESt!!!!20 Points
Goryan [66]
A) √50 = 2√25 . Her mistake was that she confused the radicand (25) & the outside factor to the radicand that is 2. The write answer is 5√2 & not the opposite

b) Find 2 numbers where their square nears the lower & the upper end of 50.

For instance 7² = 49 & 8² =64 are the nearest lower & upper numbers that encompass 50
Hence we can write the following inequality:  

49<50<64  & √49<√50√64 ==> 7<√50<8

So the √50 is nearer to 7² rather than 8².

Then let's try 7.1² =50.41 Which is an acceptable approximation
7 0
3 years ago
Prove that PQ + QR + RS + SP = 0 in the given quadrilateral<br>PQRS.​
earnstyle [38]

Answer:

PDRS

Step-by-step explanation:

PQ IS EQUAL TO QR AND QR IS ALSO EQUAL TO RS AND RS IS ALSO EQUAL TO SP

4 0
3 years ago
Read 2 more answers
Suppose that 76% of Americans prefer Coke to Pepsi. A sample of 80 was taken. What is the probability that at least seventy perc
Anastasy [175]

Answer:

C. 0.896

Step-by-step explanation:

We use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 80, p = 0.76

So

E(X) = np = 80*0.76 = 60.8

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{80*0.76*0.24} = 3.82

What is the probability that at least seventy percent of the sample prefers Coke to Pepsi?

0.7*80 = 56.

This probability is 1 subtracted by the pvalue of Z when X = 56. So

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

Z = \frac{56 - 60.8}{3.82}

Z = -1.26

Z = -1.26 has a pvalue of 0.1040.

1 - 0.1040 = 0.8960

So the correct answer is:

C. 0.896

4 0
3 years ago
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