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Elan Coil [88]
3 years ago
8

Identify the slope and y-intercept of the following equation: Y= -1/2x + 6

Mathematics
1 answer:
9966 [12]3 years ago
4 0
Slope = -1/2

y-intercept = 6

<3
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The mean weight of the 28 bears at a zoo is 413 pounds. Fuzzy the bear, whose weight is 434 pounds, and Wuzzy the bear, whose we
krok68 [10]

Answer:

416.8 pounds.

Step-by-step explanation:

The mean weight of the 28 bears at a zoo is 413 pounds.

The Total Weight of the 28 bears = Mean weight × number of bears

= 413 pounds × 28 bears

= 11564 pounds

Fuzzy the bear, whose weight is 434 pounds, and Wuzzy the bear, whose weight is 505 pounds, were added to the zoo.

This means the total number of bears

= 30 bears because two additional bears were added

What is the new mean of the weight of the bears at the zoo?

New Mean = 11564 pounds + 505 pounds + 434 pounds/30 bears

= 12503 pounds /30 bears

= 416.76666667 pounds

Approximately to the nearest tenth = 416.8 pounds.

5 0
3 years ago
seventy-five percent, or 15, of the students in Emily's homeroom class are going on a field trip. two thirds or 12, of the stude
zzz [600]
Santiago's because 75/100=15/20 and 2/3=12/72
6 0
3 years ago
To estimate the mean score μ μ of those who took the Medical College Admission Test on your campus, you will obtain the scores o
Juliette [100K]

Answer: 0.4667

Step-by-step explanation:

According to 68–95–99.7 rule , About  99.7% of all data values lies with in 3 standard deviations from population mean (\mu).

Here , margin of error = 3s , where s is standard deviation.

As per given , we have want our sample mean \overline{x} to estimate μ μ with an error of no more than 1.4 point in either direction.

If 99.7% of all samples give an \overline{x} within 1.4 , it means that

3s=1.4

Divide boths ides by 3 , we get

s=0.466666666667\approx0.4667

Hence, So \overline{x} must have 0.4667 as standard deviation so that 99.7 % 99.7% of all samples give an \overline{x} within 1.4 point of μ .

6 0
3 years ago
A physical therapist is scheduling appointment for the day. She has six workers comp cases six Medicare patients awaiting care.
Molodets [167]

Answer:

Pr(3worker's comp cases and 4 Medicare patients) = 0.37879

Step-by-step explanation:

Number of worker’s comp cases = 6

Number of Medicare patients = 6

Total  number of people = 6 + 6 = 12

Total number of ways of selecting 7 people from 12 people = 12C7

Total number of ways of selecting 7 people from 12 people = \frac{12!}{(12-7)!7!}

Total number of ways of selecting 7 people from 12 people = 792 ways

Number of ways of selecting 3 worker's comp cases = 6C3

Number of ways of selecting 3 worker's comp cases =  \frac{6!}{(6-3)!3!}

Number of ways of selecting 3 worker's comp cases = 20 ways

Number of ways of selecting 4 Medicare patients= 6C4

Number of ways of selecting 4 Medicare patients =  \frac{6!}{(6-4)!4!}

Number of ways of selecting 4 Medicare patients = 15 ways

Pr(3worker's comp cases and 4 Medicare patients) = (15*20)/792

Pr(3worker's comp cases and 4 Medicare patients) = 300/792

Pr(3worker's comp cases and 4 Medicare patients) = 0.37879

4 0
3 years ago
Use the graph to find the limit (if it exists). If the limit does not exist, explain why.
Mandarinka [93]

Answer:

  the limit does not exist

Step-by-step explanation:

As x approaches π/2 from below, tan(x) approaches +∞. A x approaches π/2 from above, tan(x) approaches -∞. These two limits are not the same, so the limit is said not to exist.

___

For a limit to exist, it must be the same regardless of the direction of approach.

6 0
3 years ago
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