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Akimi4 [234]
3 years ago
9

What is 103.468 rounded to the nearest liter ?

Mathematics
1 answer:
Andrews [41]3 years ago
5 0
It is approximetly 103.500
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Robert needs to cut four shelves from a board that is 2.5 meters long. The second shelf is 18 centimeters longer than twice the
USPshnik [31]
   1st shelf: 48cm
 2nd shelf: 114cm
   3rd shelf: 36cm
   4th shelf: 52cm
Total length: 250cm or 2.5m 
7 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
The Punjab Highway department is studying traffic pattern on G.T. Road near Lahore. As part of previous study, population standa
Ainat [17]

Answer:

for this we need 90 percent 5410

so we multiply 5410*0.9=4869

Hope This Helps!!!

5 0
3 years ago
WILL MARK BRAINLIEST<br><br> what is 3/1200 as a decimal
dezoksy [38]
3/1200 = 1/400 = 25/10000 = 0.0025
8 0
3 years ago
Suppose y varies directly with x write a direct variation equation that relates x and y
gogolik [260]

Answer:

Option D

Y=2.6x

Step-by-step explanation:

When y=10.4 and x=4, these two can be related by the equation

10.4=4x

Making x the subject of the formula then x=10.4/4=2.6

Relating x and y then we have the equation

Y=2.6x

For example, when x is 4 then y=2.6x=2.6(4)=10.4 as given in the question. Therefore, the right option is D

Y=2.6x

6 0
3 years ago
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