Ask question

Ask question

All categories

ivanzaharov [21]

3 years ago

14

Find m<1 32 359 32° 35° Ob Od 90° 58°

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

You might be interested in

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