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enot [183]
3 years ago
12

Write an equivalent expression to show the relationship of multiplication and addition. 10 + 10 + 10

Mathematics
1 answer:
Blababa [14]3 years ago
5 0

Answer:

3 * 10 is the correct answer to the given question .

Step-by-step explanation:

Equivalent expression are the same expressions although they can appear tiny bit differently.In the given question we have to express  10 + 10 + 10 in the multiplication form

Therefore

3\ * \ 10

i. e=30

Which is same as

10 + 10 + 10

=30

so

3 * 10 is the correct answer

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Which of the following is not necessarily true for independent events A and B? P (A intersection B )equals P (A )P (B )P (A vert
Sauron [17]

Answer:

P(A U B)=P(A)+P(B)

Step-by-step explanation:

Reading the options that we have for the answer, one of them (the first one) is the definition of being independent. A and B are independent if and only if P(A ∩ B)=P(A)*P(B).

So the first one IS necessary true for independent events and with this equation, option two and three are necessary true for independent events:

For definition of P(A | B)

P(A | B)= P(A ∩ B) / P(B)

And we replace P(A ∩ B) using the first option that we know it´s true:

P(A | B)= P(A)*P(B) / P(B)= P(A)

So P(A | B)=P(A) it´s true for A and B independent.

The same process goes to show P(B | A)=P(B)

Because of this, the only one of the options that could not be true for independent events is P(A ∪ B)=P(A) + P(B), and this happens because P(A ∩ B)=P(A)*P(B) applies but it could be different from 0 considering P(A ∪ B)=P(A) + P(B) - P(A ∩ B). We conclude this property (P(A ∪ B)=P(A) + P(B)) is not necessary true for A and B independent.

6 0
3 years ago
7) Mofor invests $3,101 in a savings account
Vika [28.1K]

Answer:

4%

Step-by-step explanation:

A = P(1+r/n)^{nt}

A = final amount

P = initial amount

r = interest rate per time period

n = number of times compounded per time period

t = number of time period

A = 3932.82

r = what we want to find

n = 2

t = 6

A = P(1+r/n)^{nt}\\3932.82 = 3101(1+r/2)^{12}

divide both sides by 3101 to isolate the exponent and its parts

3932.82/3101 = (1+r/2)^{12}

put both sides to the power of (1/12) to help isolate the variable

(3932.82/3101)^{1/12}= (1+r/2)

subtract 1 from both sides to isolate the variable and its coefficient

(3932.82/3101)^{1/12}-1= (r/2)

multiply both sides by 2 to get r

((3932.82/3101)^{1/12}-1) * 2= r

r ≈ 0.04 = 4%

7 0
2 years ago
Suppose point e has a coordinate of 11​, and eg= 8. what are the possible coordinates of point​ g?
viva [34]

So I will be assuming that EG = 8 is the length of the line segment EG. If that's the case, therefore the coordinates of G would simple be:

G =11 ± 8

G = 11 – 8, 11 + 8

G = 3, 19 

<span>So G can have a coordinate of 3 or 19.</span>

7 0
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JulijaS [17]
7. 40/5=8. 40-8=32 32
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Sindrei [870]
50 minus 5 equals 45 hope this helped give me brainliest plz
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