Answer:
The probability that the sample proportion is between 0.35 and 0.5 is 0.7895
Step-by-step explanation:
To calculate the probability that the sample proportion is between 0.35 and 0.5 we need to know the z-scores of the sample proportions 0.35 and 0.5.
z-score of the sample proportion is calculated as
z=
where
- p(s) is the sample proportion of first time customers
- p is the proportion of first time customers based on historical data
For the sample proportion 0.35:
z(0.35)=
≈ -1.035
For the sample proportion 0.5:
z(0.5)=
≈ 1.553
The probabilities for z of being smaller than these z-scores are:
P(z<z(0.35))= 0.1503
P(z<z(0.5))= 0.9398
Then the probability that the sample proportion is between 0.35 and 0.5 is
P(z(0.35)<z<z(0.5))= 0.9398 - 0.1503 =0.7895
(3.49+4.71)1.80=cost
(8.2)1.80=cost
14.76=cost
Luis spends $14.76 all together
the discriminant formula is b^2-4ac
so plug the values from each equation into the formula and solve, the result is the value of the discriminant
if the number is negative, there are no real roots/x-int
if it is 0 there is one real root/x-intercepts
if it is positive it has 2 real roots/x-int
and to find the actual solutions you have to plug the values into the quadratic formula
Answer:
x = 404.83
Step-by-step explanation:
The given expression is :
19,432÷x=48 ...(1)
We need to find the value of x.

Cross multiplying both sides,

Dividing both sides by 48

So, the value of x is 404.83.
When it says to estimate, I always think of doing it by hand to show work. So set it up like this:
96
<u>x 34</u>
So follow it out multiplying across 4*6 and 4*9 carrying over as needed to get it to look like this:
96
<u>x 34</u>
384
Do the same for the 3 to get this:
96
<u>x 34</u>
384
2880
Add 384+2880=3264
Your final answer is 3,264