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Katyanochek1 [597]
1 year ago
7

Identify 1 and 2. Select all that apply of the following terms: acute, right, obtuse, adjacent, vertical, complementary, supplem

entary. SELECT ALL THAT APPLY!
acute
right
obtuse
adjacent
vertical
complementary
supplementary

Mathematics
2 answers:
Grace [21]1 year ago
4 0
Right angle and complementary. this cold be wrong.
Pani-rosa [81]1 year ago
4 0

Answer:

Given: An Angle in the figure is right angle. Its measure = 90°

So,

∠2 = 90° ( vertically opposite angles are equal )

∠1 + ∠2 = 180° ( Linear Pair )

∠1 = 180 - 90

∠1 = 90°

So, ∠1 and ∠2 are

Right angles because measure of both angles are 90°.

Adjacent angles because both a common arm and a common vertex.

Supplementary angles because sum of both angles is 180°.

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The shuttle bus from your parking lot and your office building operates on a 15 minute schedule. You arrive at the parking lot a
mylen [45]

Answer:

(a) The standard deviation of your waiting time is 4.33 minutes.

(b) The probability that you will have to wait more than 2 standard deviations is 0.4227.

Step-by-step explanation:

Let <em>X</em> = the waiting time for the bus at the parking lot.

The random variable <em>X</em> is uniformly distributed with parameters <em>a</em> = 0 to <em>b</em> = 15.

The probability density function of <em>X</em> is given as follows:

f_{X}(x)=\frac{1}{b-a};\ a

(a)

The standard deviation of a Uniformly distributed random variable is given by:

SD=\sqrt{\frac{(b-a)^{2}}{12}}

Compute the standard deviation of the random variable <em>X</em> as follows:

SD=\sqrt{\frac{(b-a)^{2}}{12}}

      =\sqrt{\frac{(15-0)^{2}}{12}}

      =\sqrt{\frac{225}{12}}

      =\sqrt{18.75}\\=4.33

Thus, the standard deviation of your waiting time is 4.33 minutes.

(b)

The value representing 2 standard deviations is:

X=2\times SD=2\times4.33=8.66

Compute the value of P (X > 8.66) as follows:

P(X>8.66)=\int\limits^{10}_{8.66} {\frac{1}{15-0}}\, dx\\

                    =\frac{1}{15}\times \int\limits^{10}_{8.66} {1}\, dx\\

                    =\frac{1}{15}\times |x|^{15}_{8.66}\\

                    =\frac{15-8.66}{15}\\

                    =0.4227

Thus, the probability that you will have to wait more than 2 standard deviations is 0.4227.

4 0
1 year ago
11. Susan was given the following number to convert to scientific notation: 12,050,000
pashok25 [27]

Answer:

eliminated, the bedtime increases by one minute. ... Description: This activity requires students to tell time to the half-hour (e.g. 4:00, 5:30, 11:30).

Step-by-step explanation:

5 0
1 year ago
Which equation is equivalent to –k + 0.03 + 1.01k = –2.45 – 1.81k?
ElenaW [278]
K(-1+1.01)+0.03=-2.45-1.81k
0.01k+1.81k=-0.03-2.45
1.82k=-2.42
k=-2.45\1.82=1.3
7 0
1 year ago
Kenji uses the diagram to determine the quotient of StartFraction 9 Over 10 EndFraction and Three-fifths. A fraction bar labeled
IRISSAK [1]

Answer:

Kenji counted by One fifth instead of three fifths.

Step-by-step explanation:

When you count by one fifths to equal the 9/10 then you would get 4 1/2 as an answer. the answer is counting by three fifths to equal 1 1/2.

4 0
2 years ago
Read 3 more answers
Use deductive reasoning to show that the following procedure always produces the number 6. Procedure: Pick a number. Add 4 to th
Flauer [41]

Answer:

procedure always produces 6

Step-by-step explanation:

Let 'n' be the unknown number

Add 4 to the number : n+4

multiply the sum by 3.

multiply the sum n+4 by 3

3(n+4) is 3n+12

Now subtract 6, so we subtract 6 from 3n+12

3n+12-6=3n+6

finally decrease the difference by the tripe of the original number

triple of original number is 3n

3n+6-3n= 6

so the procedure always produces 6

5 0
1 year ago
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