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OlgaM077 [116]
2 years ago
12

The manager of a grocery store has taken a random sample of 100 customers. the average length of time it took these 100 customer

s to check out was 3.0 minutes. it is known that the standard deviation of the population of checkout times is one minute. the 95% confidence interval for the true average checkout time (in minutes) is
Mathematics
1 answer:
Kitty [74]2 years ago
7 0
The confidence interval is given by:
m +/- z · σ/√n

For a 95% confidence level the z-score is z = 1.96

Therefore:
z · σ/√n = 1.96 <span>· 1/</span>√100 = 0.196

Hence the confidence interval is:
(3-0.196 , 3+0.196)
which gives:
(2.804 , 3.196)

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a triangle has an area of 38.4cm.the height of the triangle is 12.8cm.what is the length of the base of the triangle​
Solnce55 [7]

Answer: 6  cm

Step-by-step explanation:

Use equation for area of triangle

A=a*h/2

a*h=2A

a=2A/h

where a  represents base of triangle

h represents height of triangle.

h=12.8 cm

A=38.4 cm²

a=2A/h=2*38.4 cm²/12.8 cm=76.8cm²/12.8cm= 6 cm

4 0
2 years ago
(HELP PLEASE) The cost for a company to produce x smartphones can be modeled by C(x)= 2x+35 and the company's total profit after
Juliette [100K]
This is the concept of algebra, the revenue of the smart phone sells is given by:
revenue=cost+profit
cost of producing an phone is:
C(x)=2x+35

Profit is given by the function:
P(x)=-x^2+120x-435
Thus the revenue will be:
R(x)=-x^2+120x-435+2x+35
R(x)=-x^2+122x-400
The answer is A

7 0
2 years ago
Read 2 more answers
Harrison Water Sports has two retail outlets: Seattle and Portland. The Seattle store does 60 percent of the total sales in a ye
Anna11 [10]

Answer: P = 0.75

Step-by-step explanation:

Hi!

The sample space of this problems is the set of all the possible sales. It is divided in the disjoint sets:

S_s = {\text{sales made in Seattle }}\\S_p={\text {sales made in Portland}}

We have also the set of sales of boat accesories S_b, the colored one in the image.

We are given the data:

P(S_s) = 0.6\\P(S_b | S_s) = \frac{P(S_b\bigcap S_s)}{P(S_s)}=0.4\\P(S_b|S_p) =\frac{P(S_b\bigcap S_p)}{P(S_p)}=0.2

From these relations you can compute the probabilities of the intersections colored in the image:

pink\;set:\;P(S_b \bigcap S_s) =0.6*0.4=0.24\\blue\;set\;:P(S_b \bigcap S_p)=(1-0.6)*0.2 =0.08

You are asked about the conditional probability:

P(S_s|S_b) = \frac{P(S_s \bigcap S_b)}{P(S_b)}

To calculate this, you need  P(S_b) . In the image you can see that the set S_b is the union of the two disjoint pink and blue sets. Then:

P(S_b)=P((S_b \bigcap S_s)\bigcup(S_b \bigcap S_p)) = 0.24 + 0.08 = 0.32

Finally:

P(S_s|S_b) = \frac{0.24}{0.32}=0.75

4 0
2 years ago
The exponential functions y=(1-25)^x-2/5. -10 is shown hraphed along woth the horizontal line y=115 their intersection is (a,115
evablogger [386]

Answer:26

Step-by-step explanation:

Y=1.25^x-2/5-10

Take log of both sides

So Y+10=1.25^x-2/5

So log to base 10 of the two sides of the equation is

Log(Y+10)=X-2/5log1.25.

To make X the subject, divide both sides by log1.25.

Log(Y+10)/log1.25=X-2/5.

Recall that Y was given to be 115

It becomes log(115 +10)/Log1.25=x-0.4

21.64=x-0.4

X=25.6

3 0
2 years ago
If two adults and three children go to the movies, it costs $31.50. If one adult and five children go to the movies, it costs $3
disa [49]
The adult ticket would cost $7.50
7 0
2 years ago
Read 2 more answers
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