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Georgia [21]
3 years ago
12

Hana is playing a virtual reality game in which she must toss a disc to land on the largest triangular section of the board. If

the disc is equally likely to land anywhere on the board, what is the probability that she will succeed? Explain

Mathematics
1 answer:
svetoff [14.1K]3 years ago
8 0

Answer:

Her probability of success is 1/2

Step-by-step explanation:

Firstly, we have to calculate the area of the entire board

That would be the rectangle of the measure 50 cm by 40 cm

We have the area as the product of this two

That would be 50 * 40 = 2,000 cm^2

Now, the value calculated is the area of the entire possible landing area

Secondly, we need to get the area that counts as a success

that would be the area of the triangle that has a base of 50 cm and a height of 40 cm

The area of this is the product of the two divided by 2

we have this as ;

50 * 40 * 1/2 = 1,000 cm^2

So, her probability of success is simply the area of the triangle divided by the area of the rectangle

= 1000/2000 = 1/2

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Adult entrance fees to amusement parks in the United States are normally distributed with a population standard deviation of 2.5
kondor19780726 [428]

Answer:  1.509

Step-by-step explanation:

The formula of Margin of Error for (n<30):-

E=t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

Given : Sample size : n= 22

Level of confidence = 0.99

Significance level : \alpha=1-0.99=0.01

Using the t-distribution table ,

Critical value : t_{n-1, \alpha/2}=t_{21,0.005}= 2.831

Standard deviation: \sigma=\text{ 2.5 dollars }

Then, we have

E=( 2.831)\dfrac{2.5}{\sqrt{22}}\approx1.509

Hence, the margin of error for a 99% confidence interval for the population mean =1.509

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3 years ago
The diagram shows a prism …,
cluponka [151]

Answer:

See figure below.

Step-by-step explanation:

See the figure below.

4 0
3 years ago
The high school baseball team won the championship this season. The total runs scored for each of their 15 game are listed below
Keith_Richards [23]

Answer:

what data

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the bo
My name is Ann [436]

if 1 inch is added, you would add 2 inches to to each side of rectangle.  

You would have: W+2, and, L+2,  

Now let W+2 = x and, L+2 = y  

Total area =  x*y=M  

If 1 inch is added again, like above you add 2 inches to both sides, you would then have:

(x+2)(y+2)=M+52;  

xy+2x+2y+4=M+52;  

xy=M

2x+2y=48  

x+y=48/2=24  

Now solve :

W+2+ L+2=24  

W+L=20  

The perimeter is 2(W+L)=20*2 = 40 inches.

6 0
3 years ago
Country Financial, a financial services company, uses surveys of adults age and older to determine if personal financial fitness
lesya692 [45]

Complete question :

Country Financial, a financial services company, uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time (USA Today, April 4, 2012). In February of 2012, a sample of 1000 adults showed 410 indicating that their financial security was more than fair. In February of 2010, a sample of 900 adults showed 315 indicating that their financial security was more than fair. a. State the hypotheses that can be used to test for a significant difference between the population proportions for the two years. H : Pi - P2 - Select your answer HA : P1 P2 - Select your answer - b. What is the sample proportion indicating that their financial security was more than fair in 2012? Round your answer to two decimal places. In 2010?

Answer:

H0 : p1 - p2 = 0

H1 : p1 - p2 ≠ 0

Phat 2010 = 0.35

Phat 2012 = 0.41

Step-by-step explanation:

The null and alternative hypothesis :

H0 : p1 - p2 = 0

H1 : p1 - p2 ≠ 0

The null means there is no difference in proportion for the two years while the alternative claims that there is difference in proportion for the two years.

Sample proportion for 2010:

Phat = x / n

x = 315 ; n = 900

Phat = 315 / 900

Phat = 0.35

Sample proportion for 2012 :

Phat = x / n

x = 410 ; n = 1000

Phat = 410 / 1000

Phat = 0.41

6 0
3 years ago
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