For the 405 highway that car pass through a checkpoint, assume the speeds are normally distributed such that μ= 61 miles per hour and δ=4 miles per hour. Calculate the Z value for the next car that passes through the checkpoint will be traveling slower than 65 miles per hour.
Answers
Answer:
Step-by-step explanation:
Z - score
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:
Calculate the Z value for the next car that passes through the checkpoint will be traveling slower than 65 miles per hour.
This is Z when X = 65. So
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Answers
Answer:
12<|h-8|<22
Step-by-step explanation:
-sorry if wrong
Written by 7th grader
Enter your answer in the box.
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Answer:
The measure of ∠SVT is 79°
Step-by-step explanation:
In the given figure
∵ US ∩ RT at V
∴ ∠SVT and ∠UVR are vertically opposite angles
∵ The vertically opposite angles are equal in measures
∴ m∠SVT = m∠UVR
∵ m∠SVT = (5y + 9)°
∵ m∠UVR = (8y - 33)°
→ Equate them
∴ 8y - 33 = 5y + 9
→ Add 33 to both sides
∴ 8y - 33 + 33 = 5y + 9 + 33
∴ 8y = 5y + 42
→ Subtract 5y from both sides
∴ 8y - 5y = 5y - 5y + 42
∴ 3y = 42
→ Divide both sides by 3
∵ =
∴ y = 14
→ Substitute the value of y in the measure of ∠SVT
∵ m∠SVT = 5(14) + 9
∴ m∠SVT = 70 + 9
∴ m∠SVT = 79°
∴ The measure of ∠SVT is 79°
A. 4.1 ≤ h ≥ 4.3, alkaline
B. 4.1 < h < 4.3, alkaline
C. 4.1 ≤ h ≤ 4.3, acidic
D. 4.1 ≤ h < 4.3, acidic
Answers
If we are to write the pH range for the Jerry's Fizzy Cola as an inequality and label the substance as acidic or alkaline, given the data 4.1 through 4.3 (inclusive), this would be the result:
C. 4.1 ≤ h ≤ 4.3, acidic
Answers
Hi there! :)
Answer:
y = 3x - 17.
Step-by-step explanation:
To write an equation parallel to y = 3x - 8, we need the slope as well as the coordinates of a point to solve for the "b" value in y = mx + b:
A line parallel to y = 3x - 8 contains the same slope, or m = 3.
Plug in the coordinates in (4, -5) into "x" and "y" in the equation y = mx + b respectively:
-5 = 3(4) + b
-5 = 12 + b
Simplify:
-5 - 12 = b
b = -17.
Rewrite the equation:
y = 3x - 17.
Answers
Answer:
Step-by-step explanation:
The inverse relation
x y
5 -2
-3 4
1 6
-1 8
2) 5 by 5 square is inscribed in circle
3) 5 by 6 rectangle is inscribed in circle
4)2 by 15 rectangle is inscribed in circle
5) 1 by 12 rectangle is inscribed in circle
Answers
Answer:
1. 6 pi
2. 7 pi
3. 8 pi
4. 15 pi
5. 12 pi
Step-by-step explanation: Just took the USATestprep test and got them all correct, sorry I dont have a proper answer on how I got them.