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Liula [17]
3 years ago
6

11. The temperature at noon is 75°F. The

Mathematics
1 answer:
Delicious77 [7]3 years ago
5 0
Assume temp T = T0 (75 0) at Noon (00), To find out T after 4 hours at 4 p.m. or at the 8th period, each period being 0.5 hour. If the relationship is linear, i.e if temperature is dropping linearly each half an hour by 3 0, the T is a staight line T=m*t+ T0, in which the slope m=∇T/∇t = (-30/0.5 hr) = -60/hour (negative slope decreasing)

So at 4 p.m. for t=4, temp T = 750 -60/hour*4 hour= 750-240= 510
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jasenka [17]

Answer: x=9

Step-by-step explanation:

The bottom triangle that has a 40° is an isosceles triangle, therefore the other angle at the bottom right is also 40°. This leaves the top angle to be 100°.

180=40+40+x

180=80+x

x=100

Now, to find ∠2, you can tell it is a supplementary angle. Therefore, the 2 angles add up to 180°

180-100=∠2

80°=∠2

The problem states that ∠2 is 9x-1. We know that ∠2 is 80°. We can solve for x.

80=9x-1

81=9x

x=9

8 0
3 years ago
The quotient of m and 7
pochemuha
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6 0
3 years ago
From a random sample of 41 teens, it is found that on average they spend 43.1 hours each week online with a population standard
Nadusha1986 [10]

Answer:

Step-by-step explanation:

We want to determine a 90% confidence interval for the mean amount of time that teens spend online each week.

Number of sample, n = 41

Mean, u = 43.1 hours

Standard deviation, s = 5.91 hours

For a confidence level of 90%, the corresponding z value is 1.645. This is determined from the normal distribution table.

We will apply the formula

Confidence interval

= mean +/- z ×standard deviation/√n

It becomes

43.1 ± 1.645 × 5.91/√41

= 43.1 ± 1.645 × 0.923

= 43.1 ± 1.52

The lower end of the confidence interval is 43.1 - 1.52 =41.58

The upper end of the confidence interval is 43.1 + 1.52 =44.62

Therefore, with 90% confidence interval, the mean amount of time that teens spend online each week is between 41.58 and 44.62

8 0
3 years ago
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Artemon [7]

Answer:

I think the answer B

If not then, sorry

5 0
3 years ago
Gabe is buying a pair of jeans at a local store that are priced $45. He knows that the country he lives in has an 8% tax added o
Sonbull [250]

Answer:

Yes it will

Step-by-step explanation:

The equation would be 50>45+(45*.08)

Once solving it, you will get 50 >48.6

8 0
3 years ago
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