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xenn [34]
3 years ago
8

Evaluate the statistics expression:39C1

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
4 0
<h3>Answer:  39</h3>

========================================================

Explanation:

You can use the nCr formula shown below

_n C _r = \frac{n!}{r!*(n-r)!}

where n = 39 and r = 1. However, you could also use the identity

_n C _{1} = n

which basically says there are n ways to pick 1 item if you are given a choice of n items. In this specific case, we have 39 items total, and there are 39 ways to pick one item.

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PART A: Mrs. konsdorf claims that angle R is a right angle.Is Mrs. konsdorf correct? explain your reasoning PART B: if T is trab
Anna007 [38]

Answer:

Part A: Angle R is not a right angle.

Part B; Angle GRT' is a right angle.

Step-by-step explanation:

Part A:

From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).

Slope formula

m=\frac{y_2-y_1}{x_2-x_1}

The product of slopes of two perpendicular lines is -1.

Slope of GR is

\text{Slope of GR}=\frac{1-5}{-3-(-6)}=\frac{-4}{3}

Slope of RT is

\text{Slope of RT}=\frac{6-1}{2-(-3)}=\frac{5}{5}=1

Product of slopes of GR and RT is

\frac{-4}{3}\times 1=\frac{-4}{3}\neq -1

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.

Part B:

If vertex T translated by rule

(x,y)\rightarrow(x-1,y-2)

Then the coordinates of T' are

(2,6)\rightarrow(2-1,6-2)

(2,6)\rightarrow(1,4)

Slope of RT' is

\text{Slope of RT'}=\frac{4-1}{1-(-3)}=\frac{3}{4}

Product of slopes of GR and RT' is

\frac{-4}{3}\times \frac{3}{4}=-1

Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.

6 0
3 years ago
If \triangle △RST is isosceles. find x then find m∠S.<br><br> x=<br> m∠S=
pickupchik [31]

Answer:

You know that you can look it up then you can see the answer right away

Step-by-step explanation:

:)

6 0
3 years ago
Read 2 more answers
You are one of 55 people whose name will be drawn for a prize. What is the probability that your name will be drawn first?
suter [353]

  Your answer will be 1/55 or A because, at the beginning of the problem it states "you are one of 55 people" ((:

8 0
3 years ago
NEED ANSWERS ASAP, 100 POINTS! There are twenty classes at each of two middle schools. The number of students in each class at e
DiKsa [7]

Note: You missed to add the dot plots chart. As I found the chart after a little research. Thus, I am attaching it and based on that dot plot chart I am solving the question which anyways would clear you concept.

Answer:

'There are about 2 more students in each class at Oak Middle School than at Poplar Middle School' is the correct statement.

Step-by-step explanation:

From the diagram, it is clear that

The data set containing Poplar Middle School:

20   20   20   21   21   21   21   21   22   22   22   22   22   22   22   23   23   23   23   24  

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

\mu = 435/20

  =\frac{87}{4}

   = 21.75

The data set containing Oak Middle School:

20   21   21   22   22   23   23   23   23   24   24   24   25   25   26   26   27   27   28   29  

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

\mu = 483/20

   =24.15

So, the difference in mean will be:

                                            24.15 - 21.75 = 2.4

Therefore, 'there are about 2 more students in each class at Oak Middle School than at Poplar Middle School' is the correct statement.

5 0
3 years ago
Give the function y=-5x+12, what is the output (y) when the input, x=-2?
artcher [175]

Answer:

y=22

Step-by-step explanation:

y=-5(-2)+12

y=10+12

y=22

6 0
3 years ago
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