a radio station claims that the amount of advertising per hour of broadcast time has an average of 17 minutes and a standard deviation equal to 2.7 minutes. You listen to the radio station for 1 hour, at a randomly selected time, and carefully observe that the amount of advertising time is equal to 11 minutes. Calculate the z-score for this amount of advertising time
Answers
Answer:
z-score for 11 minutes of advertising time is
Step-by-step explanation:
Z-scores measure the distance of any data point from the mean in units of standard deviations and are useful because they allow us to compare the relative positions of data values in different samples.
The z-score for any single data value can be found by the formula:
From the information given we know:
- Data value = 11 minutes
- Mean = 17 minutes
- Standard deviation = 2.7 minutes
So
Related Questions
What is the following sum?5(3squareroot x) +9 (3squareroot x)
The percent of fat calories that a person consumes each day is normally distributed with a mean of 37 and a standard deviation of 10. Suppose that 16 individuals are randomly chosen. Let X = average percent of fat calories. (a) For the group of 16, find the probability that the average percent of fat calories consumed is more than forty. (Round your answer to four decimal places.) 0.382 b) Find the first quartile for the average percent of fat calories. (Round your answer to two decimal places.) 30.25 percent of fat calories
Q # 18,Graph the inequality on a coordinate plane, - y < 3 x - 5
At the start of the day there was 129.75 in the till one hour later there is 145.40 how much did the shop take in a hour
Answers
Answer:
We can think in this situation as:
There is 10% (or a probability equal to 0.1) where the citrus grower's profit will be reduced by $15,000
There is 10% (or a probability equal to 0.1) where the citrus grower's profit will be reduced by $25,000
And in the remaining 80% (or a probability equal to 0.8), the profit does not change.
Then the expected value for the total profit can be written as:
EV = $100,000 + ( 0.1*(-$15,000) + 0.1*(-$25,000) + 0.8*$0)
= $96,000
In the case where the citrus grower spends $5000 to protect the fruits against possible bad weather, there is a 100% that is profit will not change, but he must pay $5,000
Then his profit will be:
P = $100,000 - $5,000 = $95,000
So in this case, the profit is $1000 less than the expected profit in the prior case. So the scenario where he does not buy the protection has a larger expected profit, which may mean that is better to not buy it (in a straight mathematical point of view)
One also could think that the values are really close together, so buying the protection does not mean a big change, and increases the security
Answers
Answer: The coefficient before x^4 is 60
Step-by-step explanation:
Hey! So I am not an expert at this, but you have to use the binomial theorem
I have attached of the Pascals Triangle (one shows the row numbering as well)
Basically in a pascal triangle, you add the two numbers above it to get the next number below
As you can see, the rows start from 0 instead of 1
The 6th row contains the numbers 1, 6, 15, 20, 15, 6, 1 which would be the coefficient terms
NOTE: the exponents always add to 6, the first term starts at 6 and decrease it's exponent by 1 each time (6, 5, 4, 3, 2, 1, 0) and the second term increases it's exponent by 1 each time (0, 1, 2, 3, 4, 5, 6)
Using this information the third term from the sixth row (15) would be where it is x^4 (I have circled it on the second image)
It would be 15 × 2^4 × (1/2)^2 = 60
The reason why it is 2^4 and (1/2)^2 is because the third term has the exponents 4 and 2 (bolded on the NOTE) which means that the first term must be put to the power of 4 and the second term must be put to the 2nd power
Sorry for the lousy explanation. I really hope this makes sense! Let me know if this helped :)
3 x 6+16 4-6
Answers
18 + 16 4 - 6
34 (4 - 6)
34 (2)
68 or 36 I think this is the answer, I’m not so sure because you didn’t set up the equation properly so I’m confused.
Answers
Answer:
4/15
Step-by-step explanation:
Answer: x= -39
Step-by-step explanation: Let's solve your equation step-by-step.
−
189
=
4
x
−
3
(
−
4
+
15
)
Step 1: Simplify both sides of the equation.
−
189
=
4
x
−
3
(
−
4
+
15
)
−
189
=
4
x
+
−
33
−
189
=
4
x
−
33
Step 2: Flip the equation.
4
x
−
33
=
−
189
Step 3: Add 33 to both sides.
4
x
−
33
+
33
=
−
189
+
33
4
x
=
−
156
Step 4: Divide both sides by 4.
4
x
4
=
−
156
4
x
=
−
39
Answers
Answer:
angle M = 60
angle Q = 70
Step-by-step explanation:
M 180/3 = 60
Q 180-40 = 140/2 = 70
Answers
Answer:
nothing actually Iteursitskysjtskydjtsitsitsitskgditdkgd elhsitdlhclufluclydlhcogogjdy
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Sum of the interior angles of any triangle equal 180° .
Thus ;
The angle which facing to the side 4 is 45°.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Hint:
In a right triangle, the side facing the 45° angle is √2 / 2 times the hypothenuse .
Thus ;
Multiply sides by 2
Divide sides by √2
Done...
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️