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Semmy [17]
3 years ago
10

suppose a temperature of -108°F was recorded in Antarctica and a temperature of 111°F was recorded in the Sahara Desert. How man

y degrees warmer is 111°F than -108°F?​
Mathematics
1 answer:
PolarNik [594]3 years ago
5 0

Answer:

It is 219ºF warmer.

Step-by-step explanation:

How many degrees warmer is 111°F than -108°F?​

We find this subtracting 111ºF from -108ºF.

Subtracting by a negative number is the same as adding the number. So:

111 - (-108) = 111 + 108 = 219

It is 219ºF warmer.

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ben had a part time job at the fun station. Suppose he worked 13.5 hours one week and made $81. How much did Ben earn per hour?
Sergio039 [100]

Answer:

$6 an hour.

Step-by-step explanation:

$81 divided by 13.5 hours. (to find the rate of dollars per hour)

81 ÷ 13.5 = 6

7 0
3 years ago
Read 2 more answers
Xy′ = √(1 − y2 ), y(1) = 0
tigry1 [53]

Answer:

y=sin(ln(x))

Step-by-step explanation:

First, we have to order the terms as follows and express y' as dy / dx:

x*\frac{dy}{dx} =\sqrt{(1-y^{2} )} \\\frac{x}{dx}=\frac{dy}\sqrt{(1-y^{2} )}}\\\frac{dx}{x}=\frac{dy}{\sqrt{(1-y^{2} )} }

Then, we have to integrate

\int{\frac{dx}{x}=\int{\frac{dy}{\sqrt{(1-y^{2} )} }

with this solution after integration:

ln(x)+C1=arcsin(y)+C2

Then, we have to reorder

arcsin(y)=ln(x)+C

and applied Sin function on both sides

sin(arcsin(y))=sin(ln(x)+C)\\y=sin(ln(x)+C)

To define the value of C, we use the known point y(1)=0 and replace in the equation

y=sin(ln(x)+C)\\0=sin(ln(1)+C)\\0=sin(0+C)\\0=sin(C)\\C=arcsin(0)\\C=0

The function that proves that differential equation is

y=sin(ln(x))

6 0
3 years ago
HELP DUE IN 10 MINS! A cable that is 25 m long runs from the top of a utility pole to a point on the ground that is 20 m from th
Kryger [21]

Answer:

  • 15 m

Step-by-step explanation:

  • x² + 20² = 25²
  • x² + 400 = 625
  • x² = 225
  • x = √225
  • x = 15

6 0
3 years ago
The statewide pass rates for ENGL&101 across Washington state community colleges is 68%. An instructor in the English depart
Mila [183]

Answer:

<em>The calculated value Z=1.2413 < 1.96 at 0.05 level of significance</em>

<em>Null hypothesis is accepted </em>

<em>An instructor in the English department at CBC believes rates at CBC may be equal to the state average</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given Population proportion </em>

<em>                                     P=68%= 0.68</em>

<em>Sample proportion </em>

<em>                             </em>p^{-} =\frac{x}{n} = \frac{179}{250} = 0.716<em></em>

<em>Null hypothesis : H₀ : p = 0.68</em>

<em>Alternative Hypothesis :H₁ : p > 0.68</em>

<u><em>Step(ii)</em></u><em>:-</em>

<em>Test statistic</em>

<em>                          </em>Z = \frac{p^{-}-P }{\sqrt{\frac{P Q}{n} } }<em></em>

<em>                         </em>Z = \frac{0.716-0.68 }{\sqrt{\frac{0.68 X 0.32}{250} } }<em></em>

<em>                        Z = 1.2413</em>

<em>Level of significance </em>

<em>              </em>Z_{0.05} = 1.96<em></em>

<em>The calculated value Z=1.2413 < 1.96 at 0.05 level of significance</em>

<em>Null hypothesis is accepted </em>

<em>An instructor in the English department at CBC believes rates at CBC may be equal to the state average</em>

<em></em>

<em></em>

6 0
4 years ago
a five question multiple choice quiz has five choices for each answer. use the random number table provided, with 0's representi
Montano1993 [528]

The experimental probability of correctly guessing at random exactly zero correct answers is (4/5)⁵

<h3>What is Probability?</h3>

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Here, total multiple choice quiz = 5 questions

          Each question contains 5 choices in which 1 choice is correct and remaining 4 are incorrect.

Possibility of first wrong choice = 4/5

Possibility of second wrong choice = 4/5

Possibility of third wrong choice = 4/5

Possibility of fourth wrong choice = 4/5

Possibility of fifth wrong choice = 4/5

Overall probability for Zero correct answer=(4X4X4X4X4)/(5X5X5X5X5)

                                                                        = (4/5)⁵

Thus, the experimental probability of correctly guessing at random exactly zero correct answers is (4/5)⁵

Learn more about Probability from:

brainly.com/question/11234923

#SPJ1

4 0
3 years ago
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