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sattari [20]
2 years ago
8

Its proportion please help ASAP im offering 90 points

Mathematics
1 answer:
shtirl [24]2 years ago
6 0
<h3>Answer 1a :- </h3>

Here we can solve this question using<em> </em><em>Unitary</em><em> </em><em>Method</em><em> </em><em>.</em> As ;

→ In 17hrs the boat travels 452km

→ In 1hr the boat will travel 452km/17

→ In 9hrs the boat will travel 452/17km * 9 = 239.29km

\rule{200}4

<h3>Answer 1b:-</h3>

→ A car can travel 156km on 13L gasoline .

→ It will travel 1km on 13/156L of gasoline .

→ It will travel 480km on 13/156*480L = 40L of gasoline .

\rule{200}4

<h3>Answer 2a :-</h3>

→ A boat can go 180 miles on 60L gasoline.

→ It will go 1mile in 60/180L of gasoline.

→ It will go 306 miles in 60/180*306L = 102L of gasoline .

\rule{200}4

<h3>Answer 2b :-</h3>

→ On 51L of gasoline a car can go 408km

→ On 1L of gasoline car will go 408/51 km

→ On 11L of gasoline it will go 408/51*11L = 88km

\rule{200}4

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Explain how to write 50,000 using exponents. Answer can only be one number but the answer can have as much exponents as wanted
Oksana_A [137]
The examples of 50,000 written as an exponent are as follows (but not limited to):

500 * 10^2
50 * 10^3
5 * 10^4
0,5 * 10^5

Doublecheck (optional):

500 * 10^2 = 500 * 100 = 50,000
50 * 10^3 = 50 * 1000 = 50,000
5 * 10^4 = 5 * 10000 = 50,000
0,5 * 10^5 = 0,5 * 100000 = 50,000
5 0
2 years ago
A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a
laila [671]

Complete Question

A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a margin of error of ±5% with 90% confidence, and we do not have any prior knowledge about the proportion who might support the law. How many people need to be included in the sample?

Round your answer up to the nearest integer.

sample size = _____

Answer:

The sample size is n = 271    

Step-by-step explanation:

From the question we are told that  

   The margin of error is  E = 5% = 0.05

Generally given that there was no prior knowledge about the proportion of who might support the law, we will assume the sample proportion to be  

     \^ p =  0.5

From the question we are told the confidence level is  90% , hence the level of significance is    

      \alpha = (100 - 90 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.645

Generally the sample size is mathematically represented as  

    n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )

=>   n = [\frac{1.645 }{0.05} ]^2 * 0.5 (1 - 0.5 )

=>   n = 271    

5 0
2 years ago
Five divided by the sum of three times a number and one is equal to 20. find the number
Kipish [7]

Answer:

4

Step-by-step explanation:

5 divided by 3 times

5/5/5=.2

.2*20=4

8 0
3 years ago
When solving a system of two linear equations
soldier1979 [14.2K]

Answer:

When both equations have the same slope, but not the same y-intercept, they'll be parallel to each other and no intersections means no solutions. When both equations have different slopes than regardless of the y-intercept they'll intersect for certain, therefore it has exactly one solution.

Step-by-step explanation:

Got this from google hope it helps

7 0
2 years ago
What is 3and 2 fiths subtract 5 eighths
Lorico [155]

Answer:

111/40

Step-by-step explanation:

3 2/5=17/5

17/5-5/8=111/40

6 0
3 years ago
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