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Crank
3 years ago
9

The mean of a set of data is 45 years. Find the missing numbers in the data set {40, 45, 48, ?, 54, ?, 45}. Explain the method o

r strategy you used.
Mathematics
1 answer:
Ludmilka [50]3 years ago
8 0
There are 7 numbers.  7 X 45 equals 315.  40+45+48+54+45=232.
315-232=83.

The 2 numbers can each have different values, such as 41 and 42, or 40 and 43.  The numbers must add up to 83, though.
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A diver begins at sea level and dives down 200 feet. He ascends at a steady rate of 12 and one-third feet per minute for 4. 5 mi
dexar [7]

The diver's depth is 55.485 feet.

Option B represents the correct expression of the equation.

<h2>How do you express the given condition in an equation form?</h2>

Given that the total depth is 200 feet. the steady rate of the diver is 12 and one-third feet per minute. The total time taken by the diver is 4.5 minutes.

The above condition can be written in equation form is given below.

Total Depth = Steady Rate per Minute \times Total Time

200 = (12+\dfrac {1}{3}) \times 4.5

200 - ((12+\dfrac{1}{3}) \times 4.5) = 0

Hence we can conclude that option B represents the correct form of the equation.

To know more, follow the link given below.

brainly.com/question/7161930.

6 0
2 years ago
How many countries are in the $55,000 to<br><br> $69,999 range?
emmasim [6.3K]
The answer is going to be around 7 countries
5 0
3 years ago
Calculate the pay for the following day of a
Montano1993 [528]

Answer:

$114.75

Step-by-step explanation:

6 0
3 years ago
Anybody want to help with math? Pls hurry, I’ll give brainiest and everything.
Vsevolod [243]

Answer:

B

Step-by-step explanation:

You are going to add 9 to 27 because you are counting by nines on the bottom.

3 0
2 years ago
Evaluate the integral by making an appropriate change of variables.
VARVARA [1.3K]

By inspecting the integrand, the "obvious" choice for substitution would be

<em>u</em> = <em>y</em> + <em>x</em>

<em>v</em> = <em>y</em> - <em>x</em>

<em />

Solving for <em>x</em> and <em>y</em>, we would have

<em>x</em> = (<em>u</em> - <em>v</em>)/2

<em>y</em> = (<em>u</em> + <em>v</em>)/2

in which case the Jacobian and its determinant are

J=\begin{bmatrix}x_u&x_v\\y_u&y_v\end{bmatrix}=\dfrac12\begin{bmatrix}1&-1\\1&1\end{bmatrix}\implies|\det J|=\left|\dfrac12\right|=\dfrac12

The trapezoid <em>R</em> has two of its edges on the lines <em>x</em> + <em>y</em> = 8 and <em>x</em> + <em>y</em> = 9, so right away, we have 8 ≤ <em>u</em> ≤ 9.

Then for <em>v</em>, we observe that when <em>x</em> = 0 (the lowest edge of <em>R</em>), <em>v</em> = <em>y</em> ; similarly, when <em>y</em> = 0 (the leftmost edge of <em>R</em>), <em>v</em> = -<em>x</em>. So

-<em>x</em> ≤ <em>v</em> ≤ <em>y</em>

-(<em>u</em> - <em>v</em>)/2 ≤ <em>v</em> ≤ (<em>u</em> + <em>v</em>)/2

-<em>u</em> + <em>v</em> ≤ 2<em>v</em> ≤ <em>u</em> + <em>v</em>

-<em>u</em> ≤ <em>v</em> ≤ <em>u</em>

<em />

So, the integral becomes

\displaystyle\iint_R5\cos\left(7\frac{y-x}{y+x}\right)\,\mathrm dA=\int_8^9\int_{-u}^u\frac52\cos\left(\frac{7v}u\right)\,\mathrm dv\,\mathrm du

=\displaystyle\frac52\int_8^9\frac u7(\sin7-\sin(-7))\,\mathrm du

=\displaystyle\frac57\sin7\int_8^9u\,\mathrm du

=\displaystyle\frac5{14}\sin7(9^2-8^2)=\boxed{\frac{85}{14}\sin7}

4 0
2 years ago
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