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Debora [2.8K]
3 years ago
9

Given the linear function -8x + 4y = 12, circle all of the following that are equivalent representations. Explain using the prop

erties of linear functions.
A.
y = 2x + 3

B.
y = ½x + 3

C.
image

D.
image

E.
A line through the following points:

image

F.
A graph through the following points:

image
Mathematics
1 answer:
exis [7]3 years ago
7 0

Answer:

x-intercept(s): ( 12 , 0 ) y-intercept(s): ( 0 , 3 )

Step-by-step explanation:

i Honestly dont know but these are the x and y intercepts

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Construct a 95% confidence interval for the population mean, µ. Assume the population has a normal distribution. A sample of 25
Alex787 [66]

Answer:

Step-by-step explanation:

We want to determine a 95% confidence interval for the mean mean test score of students.

Number of sample, n = 25

Mean, u = 81.5

Standard deviation, s = 10.2

For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.

We will apply the formula

Confidence interval

= mean ± z score ×standard deviation/√n

It becomes

81.5 ± 1.96 × 10.2/√25

= 81.5 ± 1.96/× 2.04

= 81.5 ± 3.9984

The lower end of the confidence interval is 81.5 - 3.9984 =77.5

The upper end of the confidence interval is 81.5 + 3.9984 = 85.5

Therefore, with 95% confidence interval, the mean test score of students is between 77.5 and 85.5

5 0
3 years ago
Write f(x) = 2x2 – 44x + 185 in vertex form.
forsale [732]

Answer:

Step-by-step explanation:

f(x)=2x^2-44x+185\\\\=2(x^2-2*11*x)+185\\\\=2(x^2-2*11*x+11^2)+185-2*121\\\\\boxed{f(x)=2(x-11)^2-57}\\\\vertex\ is\ (11,-57)

7 0
3 years ago
Read 2 more answers
Mr.bonds math class starts at 11:30 if the class ends at 1:00 how long is his teaching.
Irina-Kira [14]
11:30 and 1:00
assuming that it is
11:30 AM to 1:00 PM and not 11:30 AM to 1:00 AM

11:30 to 1:00 cannot be directly counted
the hours go like  this
1,2,3,4,5,6,7,8,9,10,11,12=AM
then after 12AM then
1,2,3,4,5,6,7,8,9,10,11,2=PM

60 minutes in 1 hour so
11:30=11 hours and 30 mins
how far to 12 AM?
12 AM=12 hours=11 hours and 60 minutes
11 hours and 60 minutes-(11 hours and 30 mins)=30 minutes

then from 12 AM to 1 PM=1 hour so
time total difference is 1 hour and 30 minutes
8 0
3 years ago
Read 2 more answers
Ahmad lost 50 dollars from his pocket.<br><br>Write a signed number to represent this change.
IRINA_888 [86]

Answer:

-50

Step-by-step explanation:

it could be X-50=?

8 0
3 years ago
Which statement describes the function shown on the graph? A) The company charges a $150 rental fee and a charge of $0.50 per mi
Yuliya22 [10]

Answer:

A

Step-by-step explanation:

YOu can see the rental fee on the graph as the amount payed at zero miles. The charge is 50$ per 100 miles, 50/100= 0.5

6 0
3 years ago
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