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3 years ago

Write two ratios that are equivalent to 3:11

Mathematics

2 answers:

PtichkaEL [24]3 years ago

6 0

Two ratios that are equivalent to 3:11 are 6:22 and 9:33 :)

Marina CMI [18]3 years ago

6 0

Just time both numbers by the times you want, then you will get equivalent ratios. 3:11, 3x2=6, 11x2=22, so the equivalent ratio will be 6:22! In this case, you can get every other euivalent ratio!
Hope that helps you! :)

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A statistician uses Chebyshev's Theorem to estimate that at least 15 % of a population lies between the values 9 and 20. Use thi

rjkz [21]

Answer:

\mu = 14.5\\

\sigma = 5.071\\

k = 1.084

Step-by-step explanation:

given that a statistician uses Chebyshev's Theorem to estimate that at least 15 % of a population lies between the values 9 and 20.

i.e. his findings with respect to probability are

$P(9$

Recall Chebyshev's inequality that

$P(|X-\mu |\geq k\sigma )\leq {\frac {1}{k^{2}}}\\P(|X-\mu |\leq k\sigma )\geq 1-{\frac {1}{k^{2}}}\\$

Comparing with the Ii equation which is appropriate here we find that

$\mu =14.5$

Next what we find is

$k\sigma = 5.5\\1-\frac{1}{k^2} =0.15\\\frac{1}{k^2}=0.85\\k=1.084\\1.084 (\sigma) = 5.5\\\sigma = 5.071$

Thus from the given information we find that

$\mu = 14.5\\\sigma = 5.071\\k = 1.084$

5 0

3 years ago

Here’s a graph of a linear function. Write the equation that describes that function

inessss [21]

Answer:

The equation of the line is y = 1/4x - 4

Step-by-step explanation:

In order to find this, start with two points that are on the line. We'll use (0, -4) and (4, -3). Now we can use the slope formula to find the slope.

m(slope) = (y2 - y1)/(x2 - x1)

m = (-4 - -3)/(0 - 4)

m = -1/-4

m = 1/4

Now that we have this, we can use that slope and a point in point-slope form. Then we solve for y to get the equation.

y - y1 = m(x - x1)

y - -4 = 1/4(x - 0)

y + 4 = 1/4x

y = 1/4x - 4

8 0

3 years ago

The steps below show the incomplete solution to find the value of m for the equation 5m − 2m + 4 = −1 + 12: Step 1: 5m − 2m + 3

Delicious77 [7]

Given:

Consider the equation is:

$5m-2m+3=-1+12$

Some steps of the solution are given.

To find:

The next step of the solution.

Solution:

Step 1: The given equation is:

$5m-2m+3=-1+12$

Step 2: Simplifying right hand side.

$5m-2m+3=11$

Step 3: Simplifying left hand side.

$3m+3=11$

These steps are already given. So, the next step is:

Step 4: Subtracting 3 from both sides.

$3m=8$

Therefore, the correct option is (b).

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3 years ago

Karen is saving money to buy a game. The game costs $12 , and so far she has saved two-thirds of this cost. How much money has K

Mashutka [201]

$\dfrac{2}{3}\cdot\$12=2\cdot\$4=\$8$

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3 years ago

Read 2 more answers

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elena-14-01-66 [18.8K]

Answer:

yes

Step-by-step explanation:

that is a very good question

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