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Aleks [24]
3 years ago
12

Last winter in the northeast the temperature was 5degrees Fahrenheit at midnight. It dropped 3 degrees every hour for 3hours and

then rose 8 degrees every hour after that. What was the temperature at​ noon?
Mathematics
1 answer:
KiRa [710]3 years ago
4 0

Answer:

<em>68 </em>^\circ F

Step-by-step explanation:

Initial temperature in the northeast in the midnight = 5 ^\circ F

Drop for the next three hours = 3 degrees per hour.

Temperature after the 3 hours = 5 ^\circ F - 3 - 3 - 3  = - 4^\circ F

Now, it is given that the temperature is rising 8^\circ F every hour.

3 hours have already passed from the midnight.

Now, there are 9 more hours till noon.

So, the temperature at noon can be found by adding 8 for 9 times in the temperature after 3 hours.

Temperature at noon = - 4 + 8 + 8 .... 9 times

Temperature at noon = - 4 + 9 \times 8 = -4 +72 = 68^\circ F

Therefore, the answer is: <em>68</em>^\circ F

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Find and interpret a 95% confidence interval to estimate the average number of bolts per box for all boxes in the population. Ro
gayaneshka [121]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The 95% confidence interval is  49.85    < \mu < 54.15

This means that there is 95% chance that the true population mean is within this interval

Step-by-step explanation:

From the question we are told that

    The  sample size is n = 30  

    The sample mean is  \= x  =  52

    The population standard deviation is  \sigma =  6

Given that the confidence level is 95% then the level of confidence is evaluate as

             \alpha  =  100 -  95

            \alpha  =  5\%

            \alpha  =  0.05

Next we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table , the values is

                 Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as

           E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

substituting values

            E =  1.96  *  \frac{ 6 }{\sqrt{30} }

           E =  2.147

The  95% confidence interval is mathematically represented as

          \= x  - E  < \mu <  \= x  + E

substituting values

         52   - 2.147   < \mu <  52   +   2.147

         49.85    < \mu < 54.15

       

     

4 0
4 years ago
I would love for someone to help me out :)
Kryger [21]

We can solve this problem in different ways:

0. Statement: As angle 1 and 3 are vertical angles, and angle 1, 5, 4 form a straigth angle, so angle 2 and (algle 4 + angle 5) are vertcal angles too.

Reason:

\begin{gathered} \angle1+\angle4+\angle5=180=\angle2+\angle3(share\text{ the same line)} \\ \angle1=\angle3(verticl\text{ angles)} \\ So, \\ \angle4+\angle5=\angle2 \end{gathered}

3 0
1 year ago
Which expression is not equivalent to 3^3/3^-4?
N76 [4]

Answer:

Are There Any Options?

Step-by-step explanation:

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Keith_Richards [23]
4, a square has 4 sides.
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Write two integers whose products is negative?
yKpoI14uk [10]

Answer:

Any negative integer and any positive integer.

Like -5 and 3.

Step-by-step explanation:

In multiplication, <u>a positive number and a negative number will result in a negative product</u>.  

So, you can use any positive integer and multiply it by any negative integer to get a negative product.

Using the integers I gave:

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<em>Brainilest Appreciated. </em>

8 0
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