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Agata [3.3K]
3 years ago
14

A thermometer at the park shows a reading of 86° Fahrenheit.

Mathematics
2 answers:
Marina86 [1]3 years ago
5 0
No he will not.
86 degrees F is 30 degrees C
maxonik [38]3 years ago
5 0

Given:

  • temperature recorded by thermometer is 86 degree Fahrenheit
  • if temperature exceeds 32 degree Celsius, Tom must have a break
  • the formula F=1.8C+32

To find: Does Tom get an extra break?

Solution: No, he does not need an extra break.

Explanation:

Given temperature is 86 degree Fahrenheit.

Using the equation F=1.8C+32, we substitute the temperature in Fahrenheit to find the value in Celsius.

So,

F=1.8C+32\\\\86=1.8C+32\\\\1.8C=86-32\\\\1.8C=54\\\\C=\frac{54}{1.8} =30

Therefore, as the temperature is only 30 degree Celsius (has not exceeded 32 degree Celsius), Tom does not need an extra break.

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Step-by-step explanation:

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A picture frame is 18 inches long and 8 inches tall. It is 2 inches wide on all 4 side. What is the area of the picture frame?
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Karla has spent $42 on food. She bought
Mandarinka [93]

Answer:

What is the question?

Step-by-step explanation:

4 0
2 years ago
A local bottler in Hawaii wishes to ensure that an average of 22 ounces of passion fruit juice is used to fill each bottle. In o
Eduardwww [97]

Answer:

(A)  H_0 : μ = 22 ; H_A : μ ≠ 22

(B) Value of the test statistic = -2.69

Step-by-step explanation:

We are given that a local bottler in Hawaii wishes to ensure that an average of 22 ounces of passion fruit juice is used to fill each bottle. He takes a random sample of 65 bottles. The mean weight of the passion fruit juice in the sample is 21.54 ounces. Assume that the population standard deviation is 1.38 ounce.

We have to test the accuracy of the bottling process.

(A) Let, NULL HYPOTHESIS, H_0 : \mu = 22 ounces  {means that an average of 22 ounces of passion fruit juice is used to fill each bottle}

ALTERNATE HYPOTHESIS, H_A : \mu \neq 22 ounces  {means that an average of 22 ounces of passion fruit juice is used to fill each bottle}

The test statistics that will be used here is One-sample z-test;

             T.S. = \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \bar X = sample mean weight of the passion fruit juice = 21.54 ounces

            \sigma = population standard deviation = 1.38 ounces

            n = sample of bottles = 65

(B) So, <u>test statistics</u> =  \frac{21.54-22}{\frac{1.38}{\sqrt{65} } }

                                  = -2.69

Hence, the value of test statistics is -2.69.

6 0
3 years ago
Can somebody explain to me how they got 3^4(x) = 3^3(x+2)? Then explain what happened to the 3 in 3^4 and the 3 in 3^3? Please a
musickatia [10]

Answer:

x=6

Step-by-step explanation:

81^x = 27 ^(x+2)

81 = 3^4    and 27 =3^3  so replace 81 and 27 in the equation

3^4^x = 3^3^(x+2)

When we have a power to a power we can multiply the exponents

a ^b^c = a^(b*c)

3^(4x) = 3^(3*(x+2))

Since the bases are the same, the exponents  have to be the same

a^b = a^c   means b=c

4x = 3(x+2)

Now we can solve for x

Distribute

4x = 3x+6

Subtract 3x from each side

4x-3x = 3x-3x+6

x = 6

3 0
3 years ago
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