Answer:
<h3>x = 22.62°</h3>
Step-by-step explanation:
To find the measure of angle x we use cosine

From the question
PO is the hypotenuse = 13
The adjacent is 12
Substitute the values into the above formula
That's


x = 22.6198
We have the final answer as
<h3>x = 22.62° to the nearest hundredth</h3>
Hope this helps you
Answer:
a) We can calculate the mean with the following formula:

And replacing we got:

And for the median first we need to order the dataset on increasing way:
50, 60, 65, 70, 350
Since the sample size is an odd number we can calculate the median as the middle position for the dataset, for this case the 3th position and we got:
Median = 65
b) For this case we can see that we have an outlier present in the data 350, and for this case if we want to give a measure of central tendency is better use the median since this meaure is not affected by outliers. So Lauren should use the median.
Step-by-step explanation:
For this case we have the following data:
350, 70, 65, 50, 60
Part a
We can calculate the mean with the following formula:

And replacing we got:

And for the median first we need to order the dataset on increasing way:
50, 60, 65, 70, 350
Since the sample size is an odd number we can calculate the median as the middle position for the dataset, for this case the 3th position and we got:
Median = 65
Part b
For this case we can see that we have an outlier present in the data 350, and for this case if we want to give a measure of central tendency is better use the median since this meaure is not affected by outliers. So Lauren should use the median.
Answer:
120 gumballs
Step-by-step explanation:
Let
x = total gumballs
Buddy = 1/2x
Balance = x - 1/2x
= 2x-x/2
= 1/2x
Miranda = 1/2 of 1/2x
= 1/2 × 1/2x
= 1/4x
Balance = 1/2x - 1/4x
= 2x-x/4
= 1/4x
Zack = 1/2 of 1/4x
= 1/2 × 1/4x
= 1/8x
Balance = 1/4x - 1/8x
= 2x-x/8
= 1/8x
His sister = 5
Balance = 1/8x -5
10 = 1/8x - 5
10 + 5 = 1/8x
15 = 1/8x
x = 15 ÷ 1/8
= 15 × 8/1
= 120
x = 120 gumballs
Answer:

Step-by-step explanation:
Answer:
38.4
38.4 is 48% of 80
Step-by-step explanation:
What is 48% of 80?
Y is 48% of 80
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 48% * 80
Converting percent to decimal:
p = 48%/100 = 0.48
Y = 0.48 * 80
Y = 38.4