Answer:
The result is units.
Step-by-step explanation:
The coordinates for A and B:
A = (-2, 0)
B = (2, 2)
-To find the distance between A and B, you need the distance formula:
Where the first coordinate is
and the second coordinate is
.
-Use the coordinates A and B for the equation:
-Then, you solve the equation:
So, therefore the distance is units.
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.
Given:
The given polynomial is
When it divided by (x+1) gives remainder 0 and when divided by (x-2) gives remainder of 45.
To find:
The values of m and n.
Solution:
According to the remainder theorem, if a polynomial P(x) is divided by (x-c), then the remainder is P(c).
Let the given polynomial be P(x).
When it divided by (x+1) gives remainder 0. So, P(-1)=0.
...(i)
When P(x) is divided by (x-2) gives remainder of 45. So, P(2)=0
...(ii)
Multiply 2 on both sides of (i).
...(iii)
Subtract (iii) from (ii).
Putting m=5.5 in (i), we get
Therefore, the values of m and n are 5.5 and -21.5 respectively.
Answer:
DB = 8
Step-by-step explanation:
Δ ADB and Δ BDC are similar so ratios of corresponding sides are equal, that is
=
, substitute values
=
=
( cross- multiply )
DB² = 64 ( take the square root of both sides )
DB = = 8