Answer:
70° , 70°
Step-by-step explanation:
The 2 angles are corresponding and are congruent, then
23x + 1 = 4 + 22x ( subtract 22x from both sides )
x + 1 = 4 ( subtract 1 from both sides )
x = 3
Then the angles are
23x + 1 = 23(3) + 1 = 69 + 1 = 70°
4 + 22x = 4 + 22(3) = 4 + 66 = 70°
the complete question is Pulse rates of women are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per minute. The original pulse rates are measure with units of "beats per minute". What are the units of the corresponding z scores? Choose the correct choice below.
A. The z scores are measured with units of "beats per minute."
B. The z scores are measured with units of "minutes per beat."
C. The z scores are measured with units of "beats."
D. The z scores are numbers without units of measurement.
we know that
A z-score is the number of standard deviations from the mean a data point is. But more technically it’s a measure of how many standard deviations below or above the population mean a raw score is
The z scores are numbers without units of measurement
therefore
the answer is the option D
Answer:
45
Step-by-step explanation:
689 - 464 = 225
225 /5 = 45
Answer:
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Step-by-step explanation:
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Answer:
165 different teams of 3 students can be formed for competitions
Step-by-step explanation:
Combinations of m elements taken from n in n (m≥n) are called all possible groupings that can be made with the m elements so that:
- Not all items fit
- No matter the order
- Elements are not repeated
That is, a combination is an arrangement of elements where the place or position they occupy within the arrangement does not matter. In a combination it is interesting to form groups and their content.
To calculate the number of combinations, the following expression is applied:
It indicates the combinations of m objects taken from among n objects, where the term "n!" is called "factorial of n" and is the multiplication of all the numbers that go from "n" to 1.
In this case:
Replacing:
Solving:
being:
- 3!=3*2*1=6
- 8!=8*7*6*5*4*3*2*1=40,320
- 11!=39,916,800
So:
C= 165
<u><em>165 different teams of 3 students can be formed for competitions</em></u>
