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Citrus2011 [14]
3 years ago
14

ASAP----------=0=0=0=0=

Mathematics
1 answer:
krek1111 [17]3 years ago
5 0

Given, Angle B=56°

Angle DAB = 114°

Therefore, Angle BAC =180°-114°=66°

(Linear pair axiom)

As we know Angle BAC=Angle A

Now, Angle A+Angle B+Angle C=180°

(Angle sum property of triangle)

66°+56° + Angle C=180°

Angle C= 180°-122°

Angle C= 58°

Therefore x=58°

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.In the Star Wars franchise, Yoda stands at only 66 centimeters tall. Suppose you want to see whether or not hobbits from the Lo
r-ruslan [8.4K]

Answer:

We conclude that the average height of hobbit is taller than Yoda.

Step-by-step explanation:

We are given that in the Star Wars franchise, Yoda stands at only 66 centimetres tall.

From a sample of 7 hobbits, you find their mean height \bar X = 80 cm with standard deviation s = 10.8 cm.

<u><em /></u>

<u><em>Let </em></u>\mu<u><em> = average height of hobbit.</em></u>

So, Null Hypothesis, H_0 : \mu \leq 66 cm      {means that the average height of hobbit is shorter than or equal to Yoda}

Alternate Hypothesis, H_A : \mu > 66 cm      {means that the average height of hobbit is taller than Yoda}

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

                     T.S. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n}}}  ~ t_n_-_1

where, \bar X = sample mean height = 80 cm

             s = sample standard deviation = 10.8 cm

             n = sample of hobbits = 7

So, <u><em>test statistics</em></u>  =  \frac{80-66}{\frac{10.8}{\sqrt{7}}}  ~ t_6

                              =  3.429

The value of t test statistics is 3.429.

<em>Now, at 0.01 significance level the t table gives critical value of 3.143 for right-tailed test. Since our test statistics is more than the critical value of t as 3.429 > 3.143, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><em><u>we reject our null hypothesis</u></em><em>.</em>

<em />

Therefore, we conclude that the average height of hobbit is taller than Yoda.

3 0
4 years ago
At First Class Pizza, 12% of the pizzas made yesterday were pepperoni pizzas. If 27 pizzas have pepperoni, how many pizzas were
gogolik [260]

Answer: 225

Step-by-step explanation:

Let the total number of pizza made be represented by x.

Therefore, the situation in the question can be written as:

12% × x = 27

12/100 × x = 27

0.12 × x = 27

0.12x = 27

Divide both side by 0.12

0.12x/0.12 = 27/0.12

x = 225

The total pizza made was 225.

3 0
3 years ago
£99 is shared in the ratio 6 : 5<br><br> What is the larger share?
nordsb [41]

Answer:

54

Step-by-step explanation:

6x + 5x = 99

11x = 99

x=99/11

x=9

6x = 6x9 = 54

5x = 5x9 = 45

<em>ans: </em><u><em>54</em></u>

4 0
2 years ago
Michael has 2 meters of yarn. she needs to cut the yarn into 10 equal pieces. how long will each price of yarn be? A.) 20 cm B.)
Karolina [17]
2 meters is equal to 200 centimeters
Divide 200 by 10
200/10 = 20cm

Each piece will be 20 cm long
So your answer is A
3 0
3 years ago
What is 4/9 over 21?
earnstyle [38]

Answer:

0.02116402116

Or otherwise written as- 0.211

3 0
3 years ago
Read 2 more answers
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