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White raven [17]
3 years ago
8

What is the length of MO, given that figure LMNO is a square?

Mathematics
2 answers:
fgiga [73]3 years ago
5 0

Answer:

8 (C)

Step-by-step explanation:

The diagonals of a square are congruent and bisect each other.

One half of a diagonal = 4

Therefore, the whole diagonal is 8.

Minchanka [31]3 years ago
3 0

Answer:

8

Step-by-step explanation:

putting it simple without any terms, half of the line LN is 4, all the other lines inside the rectangle are equal, so just double the length for the length of MO for the answer, 8

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A snowmobile traveled 32 miles in 2 1/3 hours.
laila [671]

Answer:

13.7 mph

Step-by-step explanation:

• d = st

Given:

  • d = 32 miles
  • t = 2 1/3 hr = 7/3 hr

Find the rate s:

  • s = d/t
  • s = 32-7/3 = 32 x 3/7 = 96/7 = 13.7 mph (rounded)
5 0
3 years ago
Mike runs for the president of the student government and is interested to know whether the proportion of the student body in fa
Alik [6]

Answer:

We conclude that the proportion of student body in favor of him is significantly less than or equal to 50%.

Step-by-step explanation:

We are given that Mike runs for the president of the student government and is interested to know whether the proportion of the student body in favor of him is significantly more than 50 percent.

A random sample of 100 students was taken. Fifty-five of them favored Mike.

<em>Let p = </em><u><em>proportion of the students who are in favor of Mike.</em></u>

So, Null Hypothesis, H_0 : p \leq 50%      {means that the proportion of student body in favor of him is significantly less than or equal to 50%}

Alternate Hypothesis, H_A : p > 50%      {means that the proportion of student body in favor of him is significantly more than 50%}

The test statistics that would be used here <u>One-sample z proportion</u> <u>statistics</u>;

                        T.S. =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of students body in favor of Mike = \frac{55}{100} = 0.55

           n = sample of students taken = 100

So, <em><u>test statistics</u></em>  =   \frac{0.55-0.50}{\sqrt{\frac{0.55(1-0.55)}{100} } }

                               =  1.01

The value of z test statistics is 1.01.

<em>Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.</em>

<em>Since our test statistic is less than the critical value of z as 1.01 < 1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which </em><u><em>we fail to reject our null hypothesis</em></u><em>.</em>

Therefore, we conclude that the proportion of student body in favor of him is significantly less than or equal to 50% or proportion of the students in favor of Mike is not significantly greater than 50 percent.

4 0
3 years ago
Help me plz! if you can
IgorLugansk [536]
Answer: 180/540
Simplified term would be 1/3
The answer is b
3 0
3 years ago
Translate the following expression from a numerical expression to a verbal expression: 5(2n + 7) –3
zhuklara [117]

Answer:

Five times the sum of two times a number plus seven all minus three

Step-by-step explanation:

8 0
3 years ago
Which equation best represents the relationship?
Agata [3.3K]

Answer: (C) C=\frac{5}{9}(F-32)

Explanation:

The difference between the degrees in Fahrenheit and the constant 32 corresponds to the expression in brackets (F-32).  The fraction 5/9 of that difference completes the expression: (5/9)(F-32) and gives the degrees Celsius.

4 0
3 years ago
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