Answer: the answer is D
Step-by-step explanation: may i please have brainliest.
Answer:
57.93% probability that a trip will take at least 35 minutes.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What is the probability that a trip will take at least 35 minutes
This probability is 1 subtracted by the pvalue of Z when X = 35. So
has a pvalue of 0.4207
1 - 0.4207 = 0.5793
57.93% probability that a trip will take at least 35 minutes.
9514 1404 393
Answer:
Step-by-step explanation:
The direct proportion equation is ...
y = kx
where k is the constant of proportionality. Here, you're told k=-2, so the equation is ...
y = -2x
For x=8, the value of y is ...
y = -2(8) = -16 . . . . . do the multiplication
For y = -20, the value of x is ...
-20 = -2x
10 = x . . . . . . . . . divide both sides by -2
Answer:
Matt should have factored out the leading coefficient 2 on the second step before completing the square
Step-by-step explanation:
To complete the square, you must first factor the leading coefficient from the first two terms.
y = 2x² − 10x − 4
y = 2 (x² − 5x) − 4
y = 2 (x² − 5x + 25/4 − 25/4) − 4
y = 2 (x² − 5x + 25/4) − 25/2 − 4
y = 2 (x − 5/2)² − 33/4
11/30 bags of mulch is needed.
<u>Step-by-step explanation:</u>
We have to find the number of bags of mulch.
7 (1/2) sq. yards need 2(3/4) bags of mulch.
So one sq. yd need 2(3/4) / 7(1/2)
We have to change the mixed fraction into improper fraction and then dividing them we will get the answer.
2(3/4) = ((2×4)+ 3)/4 = (8+ 3)/4 = 11/4
7(1/2) = ((7×2)+1)/2 = (14+1)/2 = 15/2
11/4 ÷ 15/2
It change into multiplication as,
11/4 × 2/15 = 11/30 bags of mulch is needed.
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