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ivanzaharov [21]
3 years ago
14

Find m<1 32 359 32° 35° Ob Od 90° 58°

Mathematics
1 answer:
Harrizon [31]3 years ago
7 0

Answer:

d- m<1 = 58

Step-by-step explanation:

To find this answer we have to do multiple steps.

So we know that vertical angles are congruent by the definition of vertical angles, <u><em>look at the picture</em></u>    

So, we also know that a triangle =180 degrees

therefore we can add 32 and 90 to find the 3rd angle measure

32+90=122, then 180(because that's the total of the triangle)-122=58

So, m<1=58 degrees

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1/4 of a pipe is white , 1/2 part of the remaining is blue. If the remaining part is black and the length of this black part is
hram777 [196]

Answer: 14 cm

Step-by-step explanation:

First take out 1/4 of the pipe, the portion that is white.  Then, half of three quarters of the pipe is blue.  1/2 of 3/4 is 3/8.  3/8(blue) + 2/8(white) = 5/8.  Thus, 3/8 of the pipe is black.  Thus, take 5.25(The length of the black portion) and multiply it by 8/3(reciprocal of 3/8) to get 14.

Hope it helps <3

(If it does, please give brainliest, only need 1 more for rank up :) )

5 0
3 years ago
The temperature was 75 degrees. at noon, the temperature increased by 7. by evening the temperature decreased by 7
DIA [1.3K]

Answer:

75

Step-by-step explanation:

75 + 7 = 82


82 - 7 = 75

6 0
1 year ago
At a large museum, there are 60 people in each tour group.
sineoko [7]

Answer: (2,120) (6,360) (8,480)

Step-by-step explanation: since every group has 60 people 2x60=120 6x60=360 8x60=480

3 0
3 years ago
The University of Washington claims that it graduates 85% of its basketball players. An NCAA investigation about the graduation
Nonamiya [84]

Probabilities are used to determine the chances of events

The given parameters are:

  • Sample size: n = 20
  • Proportion: p = 85%

<h3>(a) What is the probability that 11 out of the 20 would graduate? </h3>

Using the binomial probability formula, we have:

P(X = x) = ^nC_x p^x(1 - p)^{n -x}

So, the equation becomes

P(x = 11) = ^{20}C_{11} \times (85\%)^{11} \times (1 - 85\%)^{20 -11}    

This gives

P(x = 11) = 167960 \times (0.85)^{11} \times 0.15^{9}

P(x = 11) = 0.0011

Express as percentage

P(x = 11) = 0.11\%

Hence, the probability that 11 out of the 20 would graduate is 0.11%

<h3>(b) To what extent do you think the university’s claim is true?</h3>

The probability 0.11% is less than 50%.

Hence, the extent that the university’s claim is true is very low

<h3>(c) What is the probability that all  20 would graduate? </h3>

Using the binomial probability formula, we have:

P(X = x) = ^nC_x p^x(1 - p)^{n -x}

So, the equation becomes

P(x = 20) = ^{20}C_{20} \times (85\%)^{20} \times (1 - 85\%)^{20 -20}    

This gives

P(x = 20) = 1 \times (0.85)^{20} \times (0.15\%)^0

P(x = 20) = 0.0388

Express as percentage

P(x = 20) = 3.88\%

Hence, the probability that all 20 would graduate is 3.88%

<h3>(d) The mean and the standard deviation</h3>

The mean is calculated as:

\mu = np

So, we have:

\mu = 20 \times 85\%

\mu = 17

The standard deviation is calculated as:

\sigma = np(1 - p)

So, we have:

\sigma = 20 \times 85\% \times (1 - 85\%)

\sigma = 20 \times 0.85 \times 0.15

\sigma = 2.55

Hence, the mean and the standard deviation are 17 and 2.55, respectively.

Read more about probabilities at:

brainly.com/question/15246027

8 0
3 years ago
Jim and Em baked 33 macaroons.
bearhunter [10]

Answer: 19 macaroons

Step-by-step explanation:

Let's create an equation to represent this situation. Let x represent the number of macaroons that Em made.

33=x+x+5

33=2x+5

33-5=2x+5-5

28=2x

28/2=2x/2

14=x

This means that Em made 14 macaroons.

14+5=19

Therefore, Jim baked 19 macaroons.

4 0
3 years ago
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