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docker41 [41]
3 years ago
11

Product of a number n and 12 is 96

Mathematics
1 answer:
Charra [1.4K]3 years ago
3 0

Answer:

8

Step-by-step explanation:

n * 12 = 96

96/12 = 8

==> n = 8

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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
Jim drove 204 miles in 4 hours. If he can keep the same pace how long will it take him to drive 918 miles
SSSSS [86.1K]
18 hours.

Proportions and stuff.

\frac{204}{4} = \frac{918}{x}

Cross multiply,

204x = 918 * 4

204x = 3672
/204      /204
x = 18

18 hours.
6 0
3 years ago
The average of 5 numbers is 20. what is the sum of these same numbers?
Vinil7 [7]
Average = (A₁+A₂+A₃+A₄+A₅)/5. Since average = 20 (GIVEN), then:

20 = (A₁+A₂+A₃+A₄+A₅)/5

Or (A₁+A₂+A₃+A₄+A₅) = 20x5

(A₁+A₂+A₃+A₄+A₅) = 100

4 0
3 years ago
Writing equations of lines
Valentin [98]

Step-by-step explanation:

Equation of straight line is y=mx+c

choose any two points on straight line

for me I choose:(-3,11) and (3,-1)

use these two points to find gradient,m.

m= (-1-11)/(3-(-3))

m= -2

now, y=-2x+c

choose any point on the straight line

I choose point (3,-1)

sub the point into the equation to find c

-1=-2(3)+c

c=5

equation: y=-2x+5

7 0
3 years ago
What multiple of 8 is also a factor of 8?
Dennis_Churaev [7]
8, because the factors of 8 are 1,2,4,8, while the multiples of 8 start with 8,16,24, etc
5 0
3 years ago
Read 2 more answers
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