Answer:
D) x = 14
Step-by-step explanation:
x/2 = 7
We want to isolate x
We can multiply by 2 on each side.
2 * x/2 = 7*2
x = 14
Answer:
Step-by-step explanation:
Let r = .25 probability of getting question right. and w = .75 prob getting it wrong.
since there are 10 questions, this will tell us what we want to know.
a) 1-
doesn't get them all wrong.
1-![\left (0.75\right )^{10}\\](https://tex.z-dn.net/?f=%5Cleft%20%280.75%5Cright%20%29%5E%7B10%7D%5C%5C)
=1-.0563
=.9437
b) Probability of getting 6-10 answers right
![\left (r\right )^{10}+10\left ( r \right )^{9}w+45\left ( r \right )^{8}w^{2}+120\left ( r \right )^{7}w^{3}+120\left ( r \right )^{6}w^{4}](https://tex.z-dn.net/?f=%5Cleft%20%28r%5Cright%20%29%5E%7B10%7D%2B10%5Cleft%20%28%20r%20%5Cright%20%29%5E%7B9%7Dw%2B45%5Cleft%20%28%20r%20%5Cright%20%29%5E%7B8%7Dw%5E%7B2%7D%2B120%5Cleft%20%28%20r%20%5Cright%20%29%5E%7B7%7Dw%5E%7B3%7D%2B120%5Cleft%20%28%20r%20%5Cright%20%29%5E%7B6%7Dw%5E%7B4%7D)
=.0197
c)
This means 9 or 10 answer should be right
![\left (r\right )^{10}+10\left ( r \right )^{9}w](https://tex.z-dn.net/?f=%5Cleft%20%28r%5Cright%20%29%5E%7B10%7D%2B10%5Cleft%20%28%20r%20%5Cright%20%29%5E%7B9%7Dw)
=.00003
d)
= 2.5 expected correct answers.
e)
Standard deviation for a binomial distribution is ![\sqrt{n\ast p\left ( 1-p \right )}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%5Cast%20p%5Cleft%20%28%201-p%20%5Cright%20%29%7D)
=![\sqrt{10\ast0.25\ast0.75}](https://tex.z-dn.net/?f=%5Csqrt%7B10%5Cast0.25%5Cast0.75%7D)
=![\sqrt{1.875}](https://tex.z-dn.net/?f=%5Csqrt%7B1.875%7D)
=1.369
Ok, think about it. What’s the definition of a irrational number? Can the number be converted to a fraction or be able to be turned into a decimal that repeats or terminates? If so your looking at a rational number. If it can’t be turned into a fraction or become a repeating or terminating decimal then your number is likely a irrational number. Hope this helps. And your number is a rational number.
The square root of 64 is 8. 8 x 8 = 64 .
Answer: 0.0427
Step-by-step explanation:
Given : The area under the standard normal curve to the left of z = -1.72 is 0.0427
We know that the normal curve is a bell shaped curve that is symmetric such that half of the data falls to the left of the mean (Mean lies at the middle of the curve) and half of data falls to the right.
Now, z=-1.72 lies on the left side and z=1.72 lies right side.
Since, normal curve is symmetric and the magnitude of the values if same , then the area under the standard normal curve to the left of z = -1.72 is equals to the area to the right of z = 1.72 is 0.0427
Therefore, the area under the standard normal curve to the right of z = 1.72 is 0.0427