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3 years ago

4d + 7 = 13 Is this an equation or an expression?

Mathematics

1 answer:

OlgaM077 [116]3 years ago

4 0

Answer:

This is an equation

Step-by-step explanation:

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25% of all who enters a race do not complete. 30 haveentered.

nikklg [1K]

Answer:

The probability that exactly 5 are unable to complete the race is 0.1047

Step-by-step explanation:

We are given that 25% of all who enters a race do not complete.

30 have entered.

what is the probability that exactly 5 are unable to complete the race?

So, We will use binomial

Formula : $P(X=r) =^nC_r p^r q^{n-r}$

p is the probability of success i.e. 25% = 0.25

q is the probability of failure = 1- p = 1-0.25 = 0.75

We are supposed to find the probability that exactly 5 are unable to complete the race

n = 30

r = 5

$P(X=5) =^{30}C_5 (0.25)^5 (0.75)^{30-5}$

$P(X=5) =\frac{30!}{5!(30-5)!} \times(0.25)^5 (0.75)^{30-5}$

$P(X=5) =0.1047$

Hence the probability that exactly 5 are unable to complete the race is 0.1047

6 0

4 years ago

Algebraic expression and identity 1)simplify the following (3a+b)3 +(3a-b)3

mylen [45]

Answer:

$(3a+b)^3+(3a-b)^3=54a^3+18ab^2$

Step-by-step explanation:

Given: $(3a+b)^3+(3a-b)^3$

Formula: $x^3+y^3=(x+y)(x^2-xy+y^2)$

$(x+y)^2=x^2+2xy+y^2$

$(x-y)^2=x^2-2xy+y^2$

$x\rightarrow 3a+b$

$y\rightarrow 3a-b$

$\Rightarrow (3a+b+3a-b)((3a+b)^2-(3a+b)(3a-b)+(3a-b)^2)$

$\Rightarrow (6a)(9a^2+b^2+6ab-9a^2+b^2+9a^2+b^2-6ab)$

$\Rightarrow (6a)(9a^2+3b^2)$

$\Rightarrow 54a^3+18ab^2$

5 0

3 years ago

A safety regulation states that the maximum angle of elevation for a rescue ladder is 72º. A fire department's longest

Svetradugi [14.3K]

Answer:

110sin(72°) feet

Step-by-step explanation:

In the right triangle with the 110 ft ladder as the hypotenuse, the side opposite the 72° angle represents the maximum height the ladder will reach. The definition of the sine function tells you ...

Sin = Opposite/Hypotenuse

so the Opposite side will be ...

ladder height = (110 ft)sin(72°)

6 0

3 years ago

Ben is 12 years older then alex. Ben and alex first met two years ago. Three years ago, Ben was 4 times as old as alex

Zielflug [23.3K]

Answer:8

Step-by-step explanation:

3 0

4 years ago

Which ordered pair is a solution of the equation? -4x+7=2y-3

Anika [276]

Answer:

(2,1) and (5,-5)

Step-by-step explanation:

I just truned it in and it was right.

4 0

3 years ago