Answer:
or 0.2 or 20%
Step-by-step explanation:
For only two tests to be needed this means that the first test would need to come back as negative and the second test would be to come back as positive. Therefore, to find the probability of this happening we first need to find the probability of each individual test and multiply them together.
The first test needs to come back negative, there are four negative individuals out of the total 5 that are in the group. Therefore, the probability of the first test is 4/5.
Now we remove the individual that has just been tested and we are left with 4 total subjects in the group, of which only 1 is positive. Therefore, the probability of the second test is 1/4. Now we need to multiply these two probabilities together to get the probability of only needing two tests.
or 0.2 or 20%
Answer:
And we can find the probability with this difference
And using the normal standard distribution or excel we got:
Step-by-step explanation:
Let X the random variable that represent the soft drink machine outputs of a population, and for this case we know the distribution for X is given by:
Where 
and 
We want to find this probability:
The z score is given by:
Using this formula we got:
And we can find the probability with this difference
And using the normal standard distribution or excel we got:
Answer:
B
Step-by-step explanation:
For quadratic expression in this form, the first step is to multiply the number in front of 
with the last term, the constant (with the sign in front as well). This is the "multiplied number".
Step 2 is to come up with 2 numbers which when multiplied is equal to the "multiplied number" in step 1 above and also add to the number in front of 
.
For this problem, we would need 2 numbers that
- Add up to 27, and
- When multiplied, comes to -90 <em>(18 * -5 = -90)</em>
They already found the 2 numbers as expressed in the form shown 
. The 2 numbers are +32 and -5.
<em><u>Do they add up to 27, as required?</u></em>
Yes, 32-5=27
<u><em>Do they come to -90 when multiplied?</em></u>
No, 32 * -5 = -160
Hence, they add up, BUT NOT multiplied.
So the answer choice B is right.
Answer: The data cannot be modeled by an exponential function because the data is for a linear function (as there is a constant increase in f(x) each time x increases by 1)
Answer:
$3.70
Step-by-step explanation:
$25.30 = 2P + 4D. p for popcorn and d for drinks
P= $5.25
$25.30 = 2($5.25) + 4D
$25.30 = $10.50 + 4D
-10.50. -10.50
inverse operations
$14.80 = 4D
÷4. ÷4
Inverse operations
$3.70 = D
