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atroni [7]
3 years ago
5

)A spinner is divided into sections of equal size, of which some are red, some are blue, and the remaining are green. The probab

ility of the arrow landing on a section colored red is 50%. The probability of the arrow landing on a section colored blue is 10%. What is the probability of the arrow landing on a section colored green? I need help
Mathematics
1 answer:
stiv31 [10]3 years ago
7 0

Answer:

40%

Step-by-step explanation:

The probability of the arrow landing on the green section is a 40% chance

This is because there are only 3 sections where one is 50 and the other is 10

To find the green we can create an equation, where x = green section

50 + 10 + x = 100

The equation equals 100 because that's the highest the percentage will go in probability, unless we were told otherwise

60 + x = 100

x = 100 - 60

x = 40

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In a restaurant, the proportion of people who order coffee with their dinner is p. A simple random sample of 144 patrons of the
mote1985 [20]
<h2>Answer with explanation:</h2>

Given : In a restaurant, the proportion of people who order coffee with their dinner is p.

Sample size : n= 144

x= 120

\hat{p}=\dfrac{x}{n}=\dfrac{120}{144}=0.83333333\approx0.8333

The null and the alternative hypotheses if you want to test if p is greater than or equal to 0.85 will be :-

Null hypothesis : H_0: p\geq0.85   [ it takes equality (=, ≤, ≥) ]

Alternative hypothesis : H_1: p  [its exactly opposite of null hypothesis]

∵Alternative hypothesis is left tailed, so the test is a left tailed test.

Test statistic : z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

z=\dfrac{0.83-0.85}{\sqrt{\dfrac{0.85(1-0.85)}{144}}}\\\\=-0.561232257678\approx-0.56

Using z-vale table ,

Critical value for 0.05 significance ( left-tailed test)=-1.645

Since the calculated value of test statistic is greater than the critical value , so we failed to reject the null hypothesis.

Conclusion : We have enough evidence to support the claim that p is greater than or equal to 0.85.

8 0
3 years ago
I need help with 4ourth grade math lesson 8 homework helper asap math
Dmitriy789 [7]

Answer:

sure

Step-by-step explanation:

3 0
3 years ago
Use proportion to find the whole 75 is 15% of what number
Iteru [2.4K]

Answer:

500

Step-by-step explanation:

15% * x = 75

(15/100) * x = 75           Multiply both sides by 100/15

(15/100)*(100/15) = 75 * 100/15

x = 7500/15

x = 500

Answer 500

Proportion

15/100 = 75 / x             Cross multiply

15x = 100*75                Combine the right

15x = 7500                   Divide 15

15x/15 = 7500/15

x = 500


3 0
3 years ago
Read 2 more answers
A dance academy charges $24 per class and a one-time registration fee of $15. a student paid a total of $687 to the academy. fin
Georgia [21]
28 is the correct answer

8 0
4 years ago
Jake’s map shows the distance from the Bake Stars Cafe to the restaurant supply store as 3 centimeters. If the scale of the map
Stolb23 [73]

Answer:

The real distance from shop to store is 24 kilometers.

Step-by-step explanation:

Given:

Distance from the Bake Stars Cafe to the restaurant supply store on map = 3 cm

Also Given:

Scale of the map 1 cm = 8 km

We need to find the real distance from the shop to the store.

Solution:

Now we know that;

Distance from shop to store on map =3 cm

1 cm = 8 km

3 cm = Real distance from shop to store

By using Unitary method we get;

Real distance from shop to store = 8\times3 =24 \ km

Hence The real distance from shop to store is 24 kilometers.

8 0
3 years ago
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