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Aleksandr-060686 [28]
4 years ago
9

Nick was thinking of a number. Nick halves it and gets an answer of 39.5. What was the original number?

Mathematics
2 answers:
krok68 [10]4 years ago
7 0

Answer:

x = 79

Step-by-step explanation:

Let the number be x

<u><em>Condition:</em></u>

\frac{x}{2} = 39.5

Multiplying both sides by 2

=> x = 39.5 * 2

=> x = 79

Neporo4naja [7]4 years ago
4 0

Answer:

79

Step-by-step explanation:

Let the original number be x.

x/2 = 39.5

x = 39.5 × 2

x = 79

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Find the distance between the two points. Write your answer as a
Marianna [84]

The distance between the two points is 22.14 units

<h3>How to determine the distance between the two points?</h3>

The endpoints of the line segment are given as

(4,9) and (11, -12)

This can be rewritten as

(x, y) = (4,9) and (11, -12)

The distance between the endpoints of the segment is then calculated using the following distance formula

distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where

(x, y) = (4,9) and (11, -12)

Substitute the known values in the above equation, so, we have the following representation

Distance = √[(4 - 11)² + (9 + 12)²]

Evaluate

Distance = 22.14

Hence, the distance is 22.14 units

Read more about distance at

brainly.com/question/7243416

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6 0
1 year ago
Do political science classes require less writing than history classes? The 55 randomly selected political science classes assig
saul85 [17]

Answer:

We conclude that political science classes require less writing time than history classes at 0.01 level of significance.

Step-by-step explanation:

We are given that the 55 randomly selected political science classes assigned an average of 16.3 pages of essay writing for the course. The standard deviation for these 55 classes was 4.8 pages.

The 54 randomly selected history classes assigned an average of 18.9 pages of essay writing for the course. The standard deviation for these 54 classes was 5 pages.

<em>Let </em>\mu_1<em> = </em><u><em>average writing time required by political science classes.</em></u>

<em />\mu_2<em> = </em><u><em>average writing time required by history classes.</em></u>

So, Null Hypothesis, H_0 : \mu_1\geq\mu_2      {means that political science classes require more or equal writing time than history classes}

Alternate Hypothesis, H_A : \mu_1      {means that political science classes require less writing time than history classes}

The test statistics that would be used here <u>Two-sample t test statistics</u> as we don't know about the population standard deviation;

                     T.S. = \frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p \sqrt{\frac{1}{n_1}+\frac{1}{n_2}  } }   ~ t__n_1_-_n_2_-_2

where, \bar X_1 = sample average pages of essay writing for political science classes = 16.3 pages

\bar X_2 = sample average pages of essay writing for history classes = 18.9 pages

s_1 = sample standard deviation for political science classes = 4.8 pages

s_2 = sample standard deviation for history classes = 5 pages

n_1 = sample of political science classes = 55

n_2 = sample of history classes = 54

Also,  s_p=\sqrt{\frac{(n_1-1)s_1^{2}+(n_2-1)s_2^{2}  }{n_1+n_2-2} }  =  \sqrt{\frac{(55-1)\times 4.8^{2}+(54-1)\times 5^{2}  }{55+54-2} } = 4.90

So, <u><em>test statistics</em></u>  =  \frac{(16.3-18.9)-(0)}{4.9 \sqrt{\frac{1}{55}+\frac{1}{54}  } }  ~ t_1_0_7

                               =  -2.77

The value of t test statistics is -2.77.

<u>Now, at 0.01 significance level the t table gives critical value of -2.365 at 107 degree of freedom for left-tailed test.</u>

<em>Since our test statistics is less than the critical value of t, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><u><em>we reject our null hypothesis</em></u><em>.</em>

<em />

Therefore, we conclude that political science classes require less writing time than history classes.

3 0
3 years ago
the blueprint of a conference room is made using a scale of 2 centimeters to 1 meter. if the drawing shows the room is 12 centim
aksik [14]

Answer:

6meters

Step-by-step explanation:

Use simple proportion

2cm = 1m

12cm = ?

(12x1)/2 = 6m

6 0
3 years ago
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Which is an example of phototropism?
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Answer:

i think it is A

Step-by-step explanation:

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Are these answers right?
Arturiano [62]
Yes they are correct
7 0
3 years ago
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