Answer:
0.1
Step-by-step explanation:
When Juan cut a 1 lb loaf of banana bread into 6 slices, the weight of each slice forms a repeating decimal. A repeating decimal is a decimal number with repeating digit/s.
i.e
= 0.166666666666666...
To express the total weight for each slice, he should write a bar over 6 to show that the number repeats.
i.e
= 0.1
Note that
has expressed that the division has 6 as the repeating digit in the decimal number.
Answer:
First, it’s already telling you that you need to find d, which is the opposite of degree 59. This means you have to do the exact thing for degree 37. Since it’s already telling you to use sine, you need to look at the opposite side of 37 which is 98.4.
So ? is 98.4
Now, you need to find sin 59 / d.
First, plug in sin 98.4 sin (37) in your calculator (make sure it’s in degree setting)
The result is 59.2.
Now, 59.2 = sin 59 / d.
Switch sides like this: d = 59.2 sin (37)
And the answer is approximatley d = 35.6
? = 98.4
d = 35.6
Answer:
Stretch and shrink the graph of a function. To stretch or shrink the graph in the y direction, multiply or divide the output by a constant. 2f (x) is stretched in the y direction by a factor of 2, and f (x) is shrunk in the y direction by a factor of 2 (or stretched by a factor of ).
Step-by-step explanation:
hope this helps!
Answer:
a) 90.1
b) $35.6
c) 3.0915 hours
Step-by-step explanation:
The z-score measures how many standard deviations a score X is above or below the mean.
It is given by the following formula:

In which
is the mean and
is the standard deviaition.
In all three cases, we have to find X
a. Final exam scores: Allison’s z-score = 2.30, μ = 74, σ = 7.




b. Weekly grocery bill: James’ z-score = –1.45, μ = $53, σ = $12.




Mean and standard deviation in dollars, so the answer also in dollars.
c. Daily video game play time: Eric’s z-score = –0.79, μ = 4.00 hours, σ = 1.15 hours.




Mean and standard deviation in hours, answer in hours.
The probability that the sample mean is less than 30 school days will be given as follows:
the z-score is given by:
z=(x-μ)/σ
where
μ- stand deviation
σ-mean
thus the z-score of our information is:
z=(30-28)/9
z=0.222222
hence the probability that the sample mean is less than 30 will be:
P(x<30)=0.5871~58.71%