Ella bought 8 keychains. She spent 4 dollars on each KeyChain. Hope this helps
Answer:
Option B.
Step-by-step explanation:
The given vertices of triangle ABC are (-1, -1), (-1, -5) and (0.5, -5).
We need to find the coordinates of triangle when it is translated two units left.
So, the rule of translation is
Using this rule, we get
The vertices of triangle A'B'C' are A'(-3,-1), B'(-3,-5) and C'(-1.5,-5).
Therefore, the correct option is B.
Answer:
The score that separates the lower 5% of the class from the rest of the class is 55.6.
Step-by-step explanation:
Problems of normally distributed samples can be 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 question:

Find the score that separates the lower 5% of the class from the rest of the class.
This score is the 5th percentile, which is X when Z has a pvalue of 0.05. So it is X when Z = -1.645.


The score that separates the lower 5% of the class from the rest of the class is 55.6.
Answer:
13.9283882772
Step-by-step explanation:
Pythagorean Theroem, so 5^2+13^2=194
Under square root 194=13.9283882772
Hope I helped!
Answer:

Step-by-step explanation:
Use the Pythagorean theorem:

a and b are the legs and c is the hypotenuse. Insert the values:

Simplify exponents using the rule
:

Simplify addition:

Find the square root:

Simplify in radical form: Find a common factor of 24 that is a perfect square:

Separate:

Simplify:

Finito.