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Mkey [24]
3 years ago
11

HELP PLS There were 330 people at a play. The admission price was $3 for adults and $1 for children. The admission receipts were

$650. How many adults and how many children attended?
Question 1 options:

170 Children and 60 Adults


160 Children and 170 Adults


170 Children and 160 Adults


30 Children and 3000 Adults
Mathematics
1 answer:
taurus [48]3 years ago
5 0

Answer:

170 children and 160 adults

Step-by-step explanation:

a = no of adults

c = no of children

a + c = 330

3a + c = 650

2a = 320

a = 160 adults

160 + c = 330

c = 170 children

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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
Please help!!! This is 12 points!!! I’ll mark brainliest!!!!
Nady [450]

Answer:

x: 23

y: -46

Step-by-step explanation:

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6 0
3 years ago
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Justin says that if the diameter of any circle is 15 feet then its radius must 10
mixer [17]
I know this one give me like 5 minutes
3 0
3 years ago
Use the rule for order of operations to simplify the expression as much as possible.
ratelena [41]

Answer:

The answer to your question is 3

Step-by-step explanation:

Expression

                        3⁴ + 9² / 3³ - 9²

1.- Do the division

                        3⁴ + (9² / 3³) - 9²

Use law of exponents

                        3⁴ + (3⁴ / 3³) - 9²

                        3⁴ + 3⁴⁻³ - 9²

Simplify

                        3⁴ + 3 - 9²

2.- Convert 9² to base 3

                        3⁴ + 3 - 3⁴

3.- Simplify (associative property)

                        ( 3⁴ - 3⁴ ) + 3

4.- Result

                              3

                       

                       

7 0
3 years ago
Don’t understand someone explain please
makvit [3.9K]

Answer:

Sin A = 11/61

Step-by-step explanation:

Reference angle (θ) = A

opp = 11

Hyp = 61

Adj = 60

Sin θ = opp/hyp

Sin A = 11/61

3 0
3 years ago
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