Answer:
The Z-score for that day's temperature is 2.41, and since Z > 2, this temperature is significantly high.
Step-by-step explanation:
Z-score:
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
If
, the measure X is significantly high(Z > 2) or significantly low(Z < -2).
The mean high temperature on a particular day in January is 31 degrees F and the standard deviation is 8.7 degrees.
This means that 
One year, the temperature was 52 degrees F on that day.
This means that
.
What is the Z-score for that day's temperature?



The Z-score for that day's temperature is 2.41, and since Z > 2, this temperature is significantly high.
Answer:
- Length is <u>20 cm</u>
- Breadth is <u>10 cm</u>
Step-by-step explanation:
<h3>According to the Question</h3>
It is given that,
- Length of rectangle is twice as its breadth
- Perimeter of Rectangle = 60cm
We have to calculate the length and
breadth of the rectangle.
Let the breadth be x cm.
then,
Length be 2x cm.
Calculating the length and breadth-
- Perimeter of Rectangle = 2(Length+breadth)
By putting the value we get-
→60 = 2(2x+x)
→60 = 2(3x)
→60 = 6x
→x = 60/6
→ x = 10 cm
Since, breadth is <u>10</u> cm.
Therefore, Length = 2x = 2×10 = 20 cm.
- Hence, the length and breadth of rectangle is 20 cm & 10 cm respectively.
Answer:
this probability is 0.68
Step-by-step explanation:
the probability she buys fruit but not a CD is
0.6 × (1 - 0.2) = 0.48
the probability she buys a CD by not fruit is
0.2 × (1 - 0.6) = 0.08
the probability that she buys both is
0.6 × 0.2 = 0.12
the probability that she buys fruit or a CD or both is adding all 3 probabilities :
0.48 + 0.08 + 0.12 = 0.68
Answer:
Step-by-step explanation:
Take you ruler and draw a horizontal line from point (0,-2)
When you do, the point where y = -2 is when x = - 3