**********(*ˊᗜˋ*)ᵗᑋᵃᐢᵏ ᵞᵒᵘ********** This week Ivania ran a total of 20 km, which is 6.5 km farther than she ran last week. If w
2 answers:
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Answer:
= −0.26
= 0.4219
Step-by-step explanation:
Given:
Sample1: 98.1 98.8 97.3 97.5 97.9
Sample2: 98.7 99.4 97.7 97.1 98.0
Sample 1 Sample 2 Difference d
98.1 98.7 -0.6
98.8 99.4 -0.6
97.3 97.7 -0.4
97.5 97.1 0.4
97.9 98.0 -0.1
To find:
Find the values of and
d overbar ( ) is the sample mean of the differences which is calculated by dividing the sum of all the values of difference d with the number of values i.e. n = 5
= ∑d/n
= (−0.6 −0.6 −0.4 +0.4 −0.1) / 5
= −1.3 / 5
= −0.26
s Subscript d is the sample standard deviation of the difference which is calculated as following:
= √∑(
-
)²/ n-1
=
√
= √ (−0.6 − (−0.26 ))² + (−0.6 − (−0.26))² + (−0.4 − (−0.26))² + (0.4 −
(−0.26))² + (−0.1 − (−0.26))² / 5−1
=
=
=
= 0.4219
= 0.4219
Subscript d represent
μ represents the mean of differences in body temperatures measured at 8 AM and at 12 AM of population.
Answer:
Step-by-step explanation:
Width of the sign made by Darius initially = 2 feet
Length of the sign = 2 feet 6 inches
Dimension of the flyer are 10 inches by 8 inches. Since, in original sign the measure of length is greater, therefore, the length of flyer is 10 inches and its width is 8 inches.
In order to find the scale factor we must convert the lengths and widths to same units. Lets convert the length and width of sign into inches.
Since, 1 feet = 12 inches
Length of the sign = 2 feet 6 inches = 2(12) + 6 inches = 30 inches
Width of the sign = 2 feet = 2(12) inches = 24 inches
Now we can find the scale factor by either comparing the lengths or widths of both the designs. Scale factor will be equal to the ratio of corresponding lengths/widths.
So, the scale factor would be:
Length of Flyer : Length of Sign
= 10 inches : 30 inches
= 1 : 3
=
This shows, the length of flyer is times as that of the sign. So, the scale factor that Darius must use is
. The length and width of the flyer are
as that of the sign.
The same scale factor would result if we would have used the ratio of widths instead of the lengths.
Scale Factor = Width of Flyer : Width of sign
= 8 : 24
= 1 : 3
Therefore, Darius must type the scale factor of in his computer to get the size of the flyer.