If f(x)=35x+25 and g(x)=22x+18 find 5f(4)+2g(10)
1 answer:
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Answer: The required ratio is 1:1.
Step-by-step explanation:
Let the total number of CDs be 100
of CDs is given by
According to question,
of her Jazz CDs represents
of all her CDs.
Let the number of Jazz CDs be x
So, it becomes
So, Number of Jazz's CDs is 50
Number of Jazz non CDs is given by
Ratio of her CDs to her non- CDs is given by
Hence, the required ratio is 1:1.
<u>Answer:</u>
The amount of butter, sugar and flour does Clifford need is 2.5 cups flour, 3.75 cups sugar and 1.25 butter
<u>Explanation</u>:
Consider the number of cup of flour used to be x
According to question,
Recipe calls for 1.5 times as much flour as sugar
Sugar =
Sugar = 1.5x
Butter = ½ x = 0.5x
According to question,
Flour + Sugar + Butter = 7.5
x + 1.5x + 0.5x = 7.5
3x = 7.5
x = 2.5
Sugar = 1.5x = 1.5(2.5) = 3.75
Butter = 0.5(2.5) = 1.25
Clifford need is 2.5 cups flour, 3.75 cups sugar and 1.25 cups butter
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data :
Rearranged data:
5, 5, 5, 5, 6, 7, 7, 7, 8, 12, 12, 13, 13, 15, 18, 18, 27, 28, 36, 48, 52, 60, 66, 94
Start time for Suriname = 694
Mean = ΣX / n
Mean = (567 + 694) / (24 + 1) = 1261 / 25 = 50.44
B.) median start Time for initial 24 values
0.5(n+1)th term
0.5(25) = 12.5th term
(13 + 13) / 2 = 13
C.) preferred measure of center for the distribution will be the median as it shapes well in the middle of the distribution. The mean is overestimated
d) Compute the quartiles (Q1, Q2, Q3), and find the IQR for these data. Are there outliers in the time to start a business data set? If so, identify and name any outliers.
Using calculator :
Lower quartile Q1 --> 7
Median Q2 --> 13
Upper quartile Q3 --> 42
IQR = (Q3 - Q1) = 42 - 7 = 35
OUTLIER:
Lower bound : Q1 - 1.5(IQR) ; 7 - 1.5(35) = - 45.5
Upper bound : Q3 + 1.5(IQR) = 42 + 1.5(35) = 94.5
Outlier : values below - 45.5 and above 94.5
Hence, Surimanes start time is the only Outlier.
e)
Standard deviation for 24 countries :
Standard deviation = sqrt[Σ(X - mean)^2 / (N - 1)]
Usibg calculator :
Standard deviation for the 24 countries is 23.83
f)
Standard deviation
