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Step2247 [10]
2 years ago
8

Find the slope (-7,2) (7,13)

Mathematics
1 answer:
Yuliya22 [10]2 years ago
4 0

Answer:

m=11/14

Step-by-step explanation:

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According to the University of Nevada Center for Logistics Management, 6% of all mer-
Fudgin [204]

Answer:

a) The point estimate of the proportion of items returned for the population of

sales transactions at the Houston store = 12/80 = 0.15

b) The 95% confidence interval for the proportion of returns at the Houston store = [0.0718 < p < 0.2282].

c) Yes.

We set an hypothesis and construct a test statistics. The test statistics result gives us:

Z calculated  = 2.2545, and this gives us the p-value = 0.0121. We assumed 95% confident interval. Hence, the level of significance (α) = 5%. Conclusively, since the p-value ==> 0.0121 is less than (α) = 5%, the test is significant. Hence, the proportion of returns at the Houston store is significantly different from the returns  for the nation as a whole.

Step-by-step explanation:

a) Point estimate of the proportion = number of returned items/ total items sold = 12/80 = 0.15.

b) By formula of confident interval:

CI(95%) = p ± Z*\sqrt{\frac{p*(1-p)}{n} }  =  0.15 \pm 1.96 *\sqrt{\frac{0.15*(1-0.15)}{80} },

CI(95%) = [0.0718 < p < 0.2282]

c) The hypothesis:

H_{0}: The proportion of returns at the Houston store is not significantly different from the returns  for the nation as a whole.

H_{a}: The proportion of returns at the Houston store is significantly different from the returns  for the nation as a whole.

The test statistics:

Z = \frac{\hat{p} - p_{0}}{\sqrt{\frac{p*(1-p)}{n} }}, where p_{0} is the proportion of nation returns.

Z calculated  = 2.2545, and this gives us the p-value = 0.0121. We assumed 95% confident interval. Hence, the level of significance (α) = 5%. Conclusively, since the p-value ==> 0.0121 is less than (α) = 5%, the test is significant. Hence, the proportion of returns at the Houston store is significantly different from the returns  for the nation as a whole.

6 0
3 years ago
Penelope is going to the carnival to ride the rides. It costs $20 to get into the
Dimas [21]

Answer:

35=0.5x+20

Step-by-step explanation:

y=mx+b

35= money you can spend

0.5= cost of each ride

x=number of rides you ride

20= price to enter

5 0
3 years ago
An exponential function f(x) = ab^xpasses through the points (0, 2) and (3, 54). What are the values of a and
Vsevolod [243]

Answers:

a = 2

b = 3

=======================================================

Explanation:

Plug in x = 0 and y = 2 to find that

y = a*b^x

2 = a*b^0

2 = a*1

2 = a

a = 2

Then plug in x = 3 and y = 54 to determine the value of b

y = a*b^x

y = 2*b^x

54 = 2*b^3

2b^3 = 54

b^3 = 54/2

b^3 = 27

b = (27)^(1/3)

b = 3

So we have y = a*b^x update to y = 2*3^x

7 0
2 years ago
Someone please explain how this make sense
Andru [333]

Answer:

6x + 12y = 816

Step-by-step explanation:

6 dollars per regular admission

12 dollars per both dance and volleyball

in total 816 dollars

3 0
2 years ago
In 1997 there were 31 laptop computers at grove high school. starting in 1998 the school bought 20 more laptop computers at the
Ksenya-84 [330]
We have equation:
t=20x+31
x is number of years after 1997.

To calculate number of laptops in 2005:
x=2005-1997
x=8

t=20*8+31
t=160+31
t=191

In year 2005 school had 191 laptops.
7 0
3 years ago
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