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3 years ago

What is the value of m?

Mathematics

1 answer:

Dima020 [189]3 years ago

3 0

$\huge \underline \mathcal{Answer}$

The given angles forms linear pair, and we know the angles forming linear pair are supplementary,

Therefore,

Angle MHJ + Angle MHL = 180°

Let's solve :

$(5m + 100) \degree + (2 m + 10) \degree = 180 \degree$

$7m + 110 \degree = 180 \degree$

$7m = 70 \degree$

$m = 10 \degree$

Value of variable m = 10°

$\mathrm{✌TeeNForeveR✌}$

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3×52 A. 5/6 B. 15/2 C.8/2 D.15/6

ohaa [14]

D.) 15/6

- 3 times 52 = 156, and since you can't exactly convert it to a fraction then i'm assuming that it is 'D'.

- Ouma :>

6 0

3 years ago

Officials at a major university wanted to know what percent of their students recycle paper. They conducted a random survey and

Crazy boy [7]

Answer:

0.95 = 95% probability that a randomly selected student at this university recycles at least some of the time

Step-by-step explanation:

For a randomly selected student, we have these following probabilities:

0.55 probability that they always recicle.

0.25 probability that they usually recicle.

0.15 probability that they recicle only when it's convenient.

0.05 probability that they never recicle.

What is the probability that a randomly selected student at this university recycles at least some of the time?

Always, usually or only when it's convenient.

0.55 + 0.25 + 0.15 = 0.95

0.95 = 95% probability that a randomly selected student at this university recycles at least some of the time

5 0

3 years ago

data set A is {30, 45, 32, 50, 33, 40, 44, 32}. Data set B is {28, 43, 30, 48, 35, 42, 46, 34}. which statement best compares th

3241004551 [841]

Answer:

the mean in set B is equal to the mean in set A (option C)

Question:

The question is incomplete as the answer choices were not given.Let's consider the following question:

Data set A is {30, 45, 32, 50, 33, 40, 44, 32}. Data set B is {28, 43, 30, 48, 35, 42, 46, 34}. which statement best compares the two data sets?

a) median for set A is equal to the median for set B

b) Range for set A is greater than range for set B

c) The mean in set B is equal to the mean in set A

Step by step explanation:

We can describe a data set using four ways:

Center, spread, shape and unusual features.

Let's consider the center and spread.

Center: This is the median of the distribution.

Spread: This is the variation of the data set. If the range is wide, the spread is larger and If the range is small, the spread is smaller.

Rearranging the data set:

A = {30, 32, 32, 33, 40, 44, 45, 50}

B = {28, 30, 34, 35, 42, 43, 46, 48}

From the data:

The median for set A = (33+40)/2 = 73/2= 36.5

The median for set B = (35+42)/2 = 77/2= 38.5

Range = highest value - lowest value

The data ranges from 30 to 50 (range = 20) for A

The data ranges from 28 to 48 (range = 20) for B

Mean for set A = (30+32+32+33+40+4445+50)/8 = 306/8 = 38.25

Mean for set B = (28+30+34+35+42+43+46+48)/8= 306/8 = 38.25

In both data set the mean is equal to 38.25.

Therefore the statement that best compares the two data sets is the mean in set B is equal to the mean in set A (C)

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3 years ago

Complete the remainder of the table for the given function rule: y= x/4 + 7

babymother [125]

Let's replace x with -4 and simplify

y = (x/4) + 7

y = (-4/4) + 7

y = -1 + 7

y = 6

This means x = -4 and y = 6 pair up together.

So 6 goes in the box under the -4

----------------------------------------------------------

Repeat those steps for x = 0

y = (x/4) + 7

y = (0/4) + 7

y = 0 + 7

y = 7

So 7 goes in the box under the 0

----------------------------------------------------------

Let's repeat those steps for x = 4

y = (x/4) + 7

y = (4/4) + 7

y = 1 + 7

y = 8

So 8 goes in the box under the 4

----------------------------------------------------------

Lastly, for x = 8, we get

y = (x/4) + 7

y = (8/4) + 7

y = 2 + 7

y = 9

9 goes in the box under the 8

----------------------------------------------------------

The y outputs we got were: 6, 7, 8, 9

Notice how each time y increases by 1, x goes up by 4.

This means slope = rise/run = 1/4

We can think of x/4 as (1/4)x to help see that the slope is 1/4.

6 0

2 years ago

Suppose you take a simple random sample of size n=175 from the population of Reese's Pieces, still assuming that 45% of this pop

Gnesinka [82]

Answer:

The probability is $P(0.35$

Step-by-step explanation:

From the question we are told that

The sample size is n = 175

The population proportion is p = 0.45

Generally the mean of the sampling distribution is $\mu_{x} = 0.45$

Generally the standard deviation is mathematically represented as

$\sigma_{x} = \sqrt{\frac{p (1-p)}{n} }$

=> $\sigma_{x} = \sqrt{\frac{0.45 (1-0.45)}{175} }$

=> $\sigma_{x} = 0.0376$

Generally the probability of that the sample proportion of orange candies will be between 0.35 and 0.55 is

$P(0.35 < X < 0.55) = P( \frac{0.35 - 0.45}{0.0376} < \frac{X -\mu_{x}}{\sigma_{x}} < \frac{0.55 - 0.45}{0.0376} )$

=> $P(0.35$

Generally $\frac{X - \mu_{x}}{\sigma_{x}} = Z (The \ standardized \ value \ of X)$

$P(0.35$

=> $P(0.35$

From the z-table

$P( Z< 2.6595 ) = 0.99609$

and

$P( Z< - 2.6595 ) = 0.0039128$

$P(0.35$

=> $P(0.35$

3 0

3 years ago