the probability that a child chosen at random from the school arrives by car is 0.74 .
<u>Step-by-step explanation:</u>
Here we have , Some of the children at a school arrive by car.
30% of the children at the school are boys
60% of the boys at the school arrive by car
80% of the girls at the school arrive by car
We need to find what is the probability that a child chosen at random from the school arrives by car .Let's find out:
Probability of child to arrive by car = Probability of a girl to arrive by car + Probability of a boy to arrive by car
⇒ Probability of a boy to arrive by car = 
⇒ Probability of a boy to arrive by car = 
⇒ Probability of a boy to arrive by car = 
Also , Probability of a girl to arrive by car = 
⇒ Probability of a girl to arrive by car = 
Putting these values we get:
⇒ 
⇒ 
Therefore , the probability that a child chosen at random from the school arrives by car is 0.74 .
Answer:
c
Step-by-step explanation:
A negative function is when the graph is below the x axis.
When x < 0, the function is negative.
The solution would be like this for this specific problem:
H0: p = p0, or <span>
H0: p ≥ p0, or
H0: p ≤ p0 </span>
find the test statistic z
= (pHat - p0) / sqrt(p0 * (1-p0) / n)
where pHat = X / n
The p-value of the test is
the area under the normal curve that is in agreement with the alternate
hypothesis. <span>
H1: p ≠ p0; p-value is the area in the tails greater than |z|
H1: p < p0; p-value is the area to the left of z
H1: p > p0; p-value is the area to the right of z </span>
Hypothesis equation:
H0: p ≥ 0.67 vs. H1: p
< 0.67
The test statistic is: <span>
z = ( 0.5526316 - 0.67 ) / ( √ ( 0.67 * (1 - 0.67 ) / 38 )
z = -1.538681 </span>
The p-value = P( Z < z
) <span>
= P( Z < -1.538681 )
<span>= 0.0619</span></span>
Hello,
Question:
Jack popped some popcorn, but 3 of the 150 kernels did not pop.
Determine which popcorn snacks below has the same ratio of unpopped to total kernels as Jack's popcorn.
We Know:
3 out of 150 did not pop
Solution:
3/150 = 3 to 150
Find ratios similar to this one,
4/200
2/100
1/50
So now we know for every kernel that dosent pop there are 50 that did.
Answers:
4 unpopped out of 200 kernels
1 unpopped out of 50 kernels
Answer:
9x2+5x
Step-by-step explanation:
combine like terms
