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mash [69]
3 years ago
9

There are 80 guards and 32 forwards in Ben's basketball league.

Mathematics
2 answers:
xxTIMURxx [149]3 years ago
6 0

Answer:


Step-by-step explanation:

The greatest common factor between 32 and 80 is 16 not 8.  

32 (forwards) / 16 (teams) = 2 forwards on each team.

80 (guards) / 16 (teams) = 5 guards on each team.

alexira [117]3 years ago
6 0

Answer:

 Number of forwards = 32 ÷ 16 = 2    

Step-by-step explanation:

For finding the same number of guards and same number of forwards for each time we should first calculate highest common factor (HCF) of 80 guards and 32 forwards.

Thus, finding factors of 80 and 32:

80 = 2 × 2 × 2 × 2 × 5

32 = 2 × 2 × 2 × 2 × 2

Thus, HCF of 80 and 32 = 2 × 2 × 2 × 2 = 16.

Hence, Number of guards = 80 ÷ 16 = 5

And, Number of forwards = 32 ÷ 16 = 2.

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The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 800 voters i
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Answer:

A political strategist wants to test the claim that the percentage of residents who favor construction is more than  30%, so then that represent our claim and needs to be on the alternative hypothesis.

Based on this the correct system of hypothesis are:

Null hypothesis: p \leq 0.3

Alternative hypothesis p >0.3

Step-by-step explanation:

We have the following info given from the problem:

n= 800 the random sample of voters selected from the town

\hat p = 0.34 represent the proportion of residents favored construction

p_o = 0.30 represent the value desired to test.

A political strategist wants to test the claim that the percentage of residents who favor construction is more than  30%, so then that represent our claim and needs to be on the alternative hypothesis.

Based on this the correct system of hypothesis are:

Null hypothesis: p \leq 0.3

Alternative hypothesis p >0.3

And in order to test this hypothesis we can use a one sample z test for a population proportion and the statistic would be given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

And with the data given we have:

z=\frac{0.34 -0.3}{\sqrt{\frac{0.3(1-0.3)}{800}}}=2.469  

7 0
2 years ago
Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. C = 71°, a = 27, c = 26
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We have

SinC/ c  = Sin A / a

Sin 71/ 26 = Sin A / 27

Sin A  = 27 Sin 71 /  26  = about .982

So°

Sin-1(.982)  = A  = 79. 08°

Then angle B = 180 - 71 - 79.08 = 29.92°

And b is given by

b/sin29.92  = 26/sin 71

b = 26sin29.92/sin71 =  about 13.72

But A could also be an obtuse angle = 180 - 79.08 =  100.92°

So we have

B = 180 - 71 - 100.92 = 8.08°

And we have

b / sin 8.08  = 26/sin71

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8 0
3 years ago
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Answer:

9 - 5x = 7

Step-by-step explanation:

Nine (9) less (-) then the product (*) of 5*x, equals (=) to 7

9 - 5x = 7

3 0
2 years ago
Create 2 lines thatare parallel to 8x + 2y = 7?
Alinara [238K]

d1 = ax + by + c = 0 and d2= mx + ky + f = 0

if they are parallel :

\frac{a}{m} = \frac{b}{k} \neq \frac{c}{f}

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7 0
3 years ago
Allen's Roofing posts $5,000 in net income and $200 in dividends for the year. How does this affect the retained earnings on the
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Answer:

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Step-by-step explanation:

Retained Earnings are the amount of money left over for a business after it has paid its dividends from its net income.

Simply put:

Retained Earnings = Income - Dividends

Here, it is given:

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Hence,

Retained Earnings = 5000 - 200 = $4800

4 0
2 years ago
Read 2 more answers
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