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Fofino [41]
3 years ago
13

A store manager predicts that 60 hats will be sold if each hat costs $20. The manager predicts that 2 less hats will be sold for

every $1 increase in price. For what prices can the manager predict that at least 30 hats will be sold?
Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
4 0
40 is ur correct answer

100-60=40 is the number of hat sales the manger can afford to lose 40/4=10
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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
2 years ago
X is a normally Distributed random variable with a standard deviation of 4.00. Find the mean of X when 64.8% of the area lies to
Cerrena [4.2K]

Answer:

7

Step-by-step explanation:

σ = 4 ; μ =?

8.52 to the left of X

.

P(X < 8.52) = 64.8%

P(X < 8.52) = 0.648

Using the Z relation :

(x - μ) / σ

P(Z < (8.52 - μ) / 4)) = 0.648

The Z value of 0.648 of the lower tail is equal to 0.38 (Z probability calculator)

Z = 8.52 - μ / 4

0.38 = 8.52 - μ / 4

0.38 * 4 = 8.52 - μ

1.52 = 8.52 - μ

μ = 8.52 - 1.52

μ = 7

5 0
3 years ago
Suzy has a collection of quarters and dimes. Together she has 44 coins worth $6.95. How many quarters and how many dimes does Su
OverLord2011 [107]
X = quarters
y = dimes

0.25x + 0.10y = 6.95 or 25x + 10y = 695
x + y = 44

25x + 10y = 695
25 (x + y = 44)

25x + 10y = 695

25x + 25y = 1,100

-15y = -405
y = 27 dimes
and 17 quarters
6 0
3 years ago
Please I need help!!!
Natalija [7]

Answer:

58

Step-by-step explanation:

-14 + x = 44

x = 44 + 14

x = 58

3 0
2 years ago
What is 14 hours in 2 weeks as a unit rate?
frosja888 [35]
Seven hours in one week.
6 0
3 years ago
Read 2 more answers
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