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skad [1K]
3 years ago
10

The temperature is changing every day by -7/18 degrees Fahrenheit. What will be the change in the temperature after 3 days?

Mathematics
2 answers:
san4es73 [151]3 years ago
5 0

multiply -7/18 x 3 days

 -7/18 x 3/1 = -21/18 = -1 3/18 = -1 1/6 change

WITCHER [35]3 years ago
3 0
Let the temperature today be x °F.

Change in temperature after 1 day = (x -  \frac{7}{18} ) °F

Change in temperature  after 2 days = (x - \frac{7}{18} ) - \frac{7}{18} = (x - 2*\frac{7}{18} ) °F

Change in temperature after 3 days
= (x - 2*\frac{7}{18} ) - \frac{7}{18} = (x - 3*\frac{7}{18} )=(x - \frac{7}{6} )°F
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Assume that a hypothesis test to support the given claim will be conducted. Identify the type l error for the test. A skeptical
Mars2501 [29]

Answer:

Option D) Reject the claim that the proportion of Americans that have seen a UFO is equal to 5 in a thousand when that proportion is actually 5 in a thousand.

Step-by-step explanation:

We are given the following information:

A hypothesis test to support the given claim that the proportion of Americans that have seen a UFO is less than 5 in a thousand.

Type I error:

  • Type I error is the rejection of a true null hypothesis that is we reject the null hypothesis given it is true.
  • It is also known as a false positive.

First, we design the null and the alternate hypothesis

H_{0}: \text{ The proportion of Americans that have seen a UFO is equal to 5 in a thousand}\\H_A: \text{ The proportion of Americans that have seen a UFO is less than 5 in a thousand}

Thus, for the given hypothesis test, we describe type I error as:

Option D) Reject the claim that the proportion of Americans that have seen a UFO is equal to 5 in a thousand when that proportion is actually 5 in a thousand.

3 0
4 years ago
How do you complete problem number 4?
brilliants [131]
(I'm going to translate y' to dy/dx as it makes it easier to read for me, you could change it back if you wanted.)
x \frac{dy}{dx} -y=0
\frac{dy}{dx} = \frac{y}{x}
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3 0
4 years ago
If sin theta = 2/3 and sex theta < 0 , find cos theta and tan theta
FromTheMoon [43]

Answer:

\displaystyle cos\theta=-\frac{\sqrt{5}}{3}

\displaystyle tan\theta=-\frac{2\sqrt{5}}{5}

Step-by-step explanation:

<u>Trigonometric Formulas</u>

To solve this problem, we must recall some basic relations and concepts.

The main trigonometric identity relates the sine to the cosine:

sin^2\theta+cos^2\theta=1

The tangent can be found by

\displaystyle tan\theta=\frac{sin\theta}{cos\theta}

The cosine and the secant are related by

\displaystyle cos\theta=\frac{1}{sec\theta}

They both have the same sign.

The sine is positive in the first and second quadrants, the cosine is positive in the first and fourth quadrants.

The sine is negative in the third and fourth quadrants, the cosine is negative in the second and third quadrants.

We are given

\displaystyle sin\theta=\frac{2}{3}

Find the cosine by solving

sin^2\theta+cos^2\theta=1

\displaystyle \left(\frac{2}{3}\right)^2+cos^2\theta=1

\displaystyle cos^2\theta=1-\left(\frac{2}{3}\right)^2=1-\frac{4}{9}=\frac{5}{9}

\displaystyle cos\theta=\sqrt{\frac{5}{9}}=-\frac{\sqrt{5}}{3}

\boxed{\displaystyle cos\theta=-\frac{\sqrt{5}}{3}}

We have placed the negative sign because we know the secant ('sex') is negative and they both have the same sign.

Now compute the tangent

\displaystyle tan\theta=\frac{sin\theta}{cos\theta}=\frac{\frac{2}{3}}{-\frac{\sqrt{5}}{3}}=-\frac{2}{\sqrt{5}}

Rationalizing

\displaystyle tan\theta=-\frac{2}{\sqrt{5}}=-\frac{2\sqrt{5}}{5}

\boxed{\displaystyle tan\theta=-\frac{2\sqrt{5}}{5}}

5 0
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Anvisha [2.4K]

Answer:

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Step-by-step explanation:

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Answer:

7200+1800=9000

7200/1800= 72/18= 8/2= 4

100/4 = 25

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