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3 years ago

12

Product of 5 and the quantity 3 plus z

2 answers:

tia_tia [17]3 years ago

8 0

That expression could be written as

5 (3 + z) .

Paraphin [41]3 years ago

4 0

I think written out it would be 5(3+z), so the product would be 5z+15 because you distribute the 5 to the three and z. hope this helps!

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A.)-5(n3 – n2 – 1) + n(n2 – n)B.) (n2 – 1)(n + 2) – n2(n – 3)C.) n2(n – 4) + 5n3 – 6 D.)2n(n2 – 2n – 1) + 3n2 arrange them in in

Alina [70]

The first one is d then b and a and also c

4 0

3 years ago

What's the square root of 5634?

Lapatulllka [165]

About 75.06 hope this helps

6 0

3 years ago

Read 2 more answers

Simplify: –3(x – 5) – 8(y + 2) + (–3)(6 – 4b) A. –3x –8y – 12b – 15 B. –3x –8y + 12b + 15 C. –3x –8y + 12b + 20 D. –3x –8y + 12b

8090 [49]

Distribute
a(b+c)=ab+ac so
-3(x-5)=-3x+15
-8(y+2)+-8y-16
-3(6-4b)=-18+12b
add them together
-3x+15-8y-16-18+12b
associative property
15-16-18-3x-8y+12b
add
-19-3x-8y+12b is the answer which is D

5 0

4 years ago

Read 2 more answers

Sixty percent of the eligible voting residents of a certain community support the incumbent candidate. If eight of the residents

il63 [147K]

By the binomial theorem we know that

$1 = (.4 + .6)^8 \\ = {8 \choose 0} (.4)^{8} (.6)^{0} + {8 \choose 1} (.4)^{7} (.6)^{1} +{8 \choose 2} (.4)^{6} (.6)^{2} + {8 \choose 3} (.4)^{5} (.6)^{3} + {8 \choose 4} (.4)^{4} (.6)^{4} \\ + \quad {8 \choose 5} (.4)^{3} (.6)^{5} + {8 \choose 6} (.4)^{2} (.6)^{6} + {8 \choose 7} (.4)^{1} (.6)^{7} + {8 \choose 8} (.4)^{0} (.6)^{8}$

The probability that exactly 5 of 8 support the incumbent is the term

${8 \choose 5} (.4)^{3} (.6)^{5}$

So at least five of eight support is the sum of this term and beyond,

$p={8 \choose 5} (.4)^{3} (.6)^{5} + {8 \choose 6} (.4)^{2} (.6)^{6} + {8 \choose 7} (.4)^{1} (.6)^{7} + {8 \choose 8} (.4)^{0} (.6)^{8}$

No particularly easy way of calculating that except popping it into Wolfram Alpha which reports

$p = \dfrac{ 46413}{78125}$

Shouldn't half the terms work out to .6 ? Interestingly it's not exactly .6 but pretty close at .594.

6 0

4 years ago

30-60-90 triangle adjacent leg is 15. what is the opposite leg?

Rainbow [258]

The measure of the opposite leg is 25.98

<u>Step-by-step explanation</u>:

Step 1 :

In a right triangle,

The side opposite to 90° is the hypotenuse = 2a.
The side opposite to 30° is the adjacent leg = a.
The side opposite to 60° is the opposite leg = a√3.

Step 2 :

Given,

Adjacent leg, a = 15

Opposite leg, a√3 = 15 $\times$ 1.732

Opposite leg = 25.98

8 0

4 years ago