Which expression is equivalent to 2(y + 11) 2y + 22 2y + 11 y + 22

Mathematics

2 answers:

nasty-shy [4]2 years ago

6 0

Answer: 2y +22

Step-by-step explanation:

olga55 [171]2 years ago

5 0

Answer is 2y+22
Reason because you distribute the 2 to both of them

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Which is the solution to the equation 8.25 + 1/4w = 10.75? Round to the nearest hundredth if necessary.

e-lub [12.9K]

Answer:

w = 0.215

Step-by-step explanation:

(8.25 + 1) / 4w = 10.75

9.25/4w = 10.75

9.25/4w(4w) = 10.75(4w)

9.25 = 43w

9.25/43 = w

w = 0.215

6 0

3 years ago

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n indepe

-Dominant- [34]

Answer: 0.0031

Step-by-step explanation:

Binomial distribution formula :-

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where P(x) is the probability of x successes in the n independent trials of the experiment and p is the probability of success.

Given : A binomial probability experiment is conducted with the given parameters.

$n=9,\ p=0.8,\ x\leq3$

Now, $P(x\leq3)=P(3)+P(2)+P(1)+P(0)$

$=^9C_3(0.8)^3(1-0.8)^{9-3}+^9C_2(0.8)^2(1-0.8)^{9-2}+^9C_1(0.8)^1(1-0.8)^{9-1}+^9C_0(0.8)^0(1-0.8)^9\\\\=\dfrac{9!}{3!6!}(0.8)^3(0.2)^6+\dfrac{9!}{2!7!}(0.8)^2(0.2)^7+\dfrac{9!}{1!8!}(0.8)(0.2)^8+\dfrac{9!}{0!9!}(0.2)^9=0.003066368\approx0.0031$