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mash [69]
3 years ago
6

How much rain would have to fall in August so that the total amount of rain equals the average rainfall for these three months?

What would the departure from the average be in August in that situation?
Mathematics
1 answer:
Alexus [3.1K]3 years ago
6 0
Oh I was about to write something else
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Suppose Q and R are independent events. Find P(Q and R) if P(Q) = <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B15%7D%20
Furkat [3]
To be exact I think the right answer is d
5 0
3 years ago
Laura babysat 8 nights during the month of July. She earned $22, $30, $35, $25, $25, $20, and $27 for seven nights. How much did
Svet_ta [14]

Answer:

$28

Step-by-step explanation:

Given:

data = [22,30,35,25,25,20,27]

For eight night, the new list is:

new_data = [22,30,35,25,25,20,27,x]

Mean = 26.50

Mean Formula:

\displaystyle \large{m=\dfrac{x_1+x_2+x_3+...+x_n}{n} }

Therefore:

\displaystyle \large{26.50=\dfrac{22+30+35+25+25+20+27+x}{8}}

Multiply both sides by 8:

\displaystyle \large{26.50\cdot 8=\dfrac{22+30+35+25+25+20+27+x}{8} \cdot 8}\\\displaystyle \large{212=22+30+35+25+25+20+27+x}

Solve for x:

\displaystyle \large{212=22+30+35+25+25+20+27+x}\\\displaystyle \large{212=184+x}

Subtract 184 both sides:

\displaystyle \large{212-184=184+x-184}\\\displaystyle \large{28=x}

Therefore, she will earn $28 in eighth night

The attachment below is the result of combining all eighth data as we get 26.5 through python language with numpy package.

7 0
2 years ago
Read 2 more answers
What is the complex number z=−3+3√3i represented in polar form?<br><br><br> z=____cis(____)
maks197457 [2]

Answer:

<h2>6cis120°</h2>

Step-by-step explanation:

The general form of a complex number z = x+iy

If x = rcos\theta and y = rsin\theta

where r is the modulus of the complex number and \theta is the argument, z in polar form is represented as:

z =  rcos\theta+ rsin\theta

z = r(cos\theta+ isin\theta)

z = rcis\theta

Given the complex number z=−3+3√3i

r = \sqrt{x^{2}+y^{2}  }

r = \sqrt{(-3)^{2}+(3\sqrt{3})^{2}  } \\r = \sqrt{9+27} \\r = \sqrt{36}\\ r = 6

argument\\\theta = arctan \frac{y}{x} \\\theta = arctan \frac{3\sqrt{3} }{-3} \\\theta = arctan {-\sqrt{3} } \\\theta = -60 \deg

since the argument is negative and tan is negative in the 2nd and 4th quadrant,

In the second quadrant, theta = 180- 60 = 120°

On substituting r and theta, the complex number in polar form is expressed as 6cis120°

3 0
4 years ago
.The sum of y and 2 is greater than or equal to 6.
Leni [432]
Y+2 is greater than or equal to 6
You would cancel the 2 out by subtracting it on both sides. 6-2=4. Y is greater than or equal to 4
5 0
3 years ago
Estimate the value of
natka813 [3]

Answer:

8.0622577483

you can take it from here...

7 0
3 years ago
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