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3 years ago

What is the simplified form of the expression?

Mathematics

1 answer:

Kobotan [32]3 years ago

5 0

Hi There!

Step-by-step explanation:

= 52 + 8² - 3 (4 - 2)³

= 52 + 64 - 3(8)

= 116 - 24

= 92

Answer:

Hope This Helps :)

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At a festival 2/7 of the number of girls was equal to 3/5 of the number of boys. There were 165 fewer boys than girls, how many

koban [17]

X=number of girls.
y=number of boys.
We can suggest this system of equations:
2/7 x=3/5 y ⇒10x=21y ⇒x=21/10 y
y=x-165

We can solve this problem by substitution method:
x=(21/10)(x-165)
10x=21x-3465
10x-21x=-3465
-11x=-3465
x=-3465 /-11=315

y=x-165=315-165=150

Number of children=number of girls + number of boys
Number of children=315 +150=465

Answer: there were 465 children at the festival.

5 0

3 years ago

Find the least whole number that can replace to make the statement true

dexar [7]

What number though ☺☺☺☺☺☺☺☺☺☺☺☺☺☺☺

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3 years ago

A package delivery service claims that no more than 5 percent of all packages arrive at the address late. Assuming that the cond

masya89 [10]

Answer: 0.0115

Step-by-step explanation:

The binomial probability formula :-

$P(X)=^nC_x\ p^x(1-p)^{n-x}$ , here n is the number total of trials , p is the probability of getting success in each trial and P(x) is the probability of getting success in x trial.

Given : A package delivery service claims that no more than 5 percent of all packages arrive at the address late.

We assume that the conditions for the binomial hold with parameters :-

n=10 ; p=0.05

Let x be the random variable that represents the number of packages arrive at the address late.

Now, the probability that more than 2 packages will be delivered late :-

$P(x>2)=1-P(x\leq2)\\\\=1-(P(0)+P(1)+P(2))\\\\=1-(^{10}C_0(0.05)^{0}(1-0.05)^{10}+^{10}C_{1}(0.05)^1(1-0.05)^9+^{10}C_{2}(0.05)^2(1-0.05)^8)\\\\=1-((0.95)^{10}+(10)(0.05)(0.95)^9+45(0.05)^2(0.95)^8}\\\\=1-0.988496442621=0.011503557379\approx0.0115$

Hence, the probability that more than 2 packages will be delivered late = 0.9885

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3 years ago

15 is equal to the difference of 7 and 2 times a number

tankabanditka [31]

Let, the number = x

15 = 7-2x

2x = 7-15

2x = -8

x = -4

5 0

3 years ago

Find the quotient 6.4 x 10^6 / 8 x 10^-3

kirill [66]

Answer:

800

Step-by-step explanation:

=0.8 x 10^3

=8.0 x 10^2

=800

5 0

2 years ago