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Rina8888 [55]
3 years ago
9

Traingle A' B' C' is the image of triangle ABC under a dilation. What is the scale factor of the dilation? ​

Mathematics
1 answer:
Nataly_w [17]3 years ago
6 0
We need an image to answer the question.
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Suppose the number of messages that an inbox receives may be modeled by a Poisson distribution. If the average number of message
docker41 [41]

Answer:

0.36427

Step-by-step explanation:

Mean = λ = 18 messages per hour

P(X = x) = (e^-λ)(λ⁻ˣ)/x!

P(X ≤ x) = Σ (e^-λ)(λ⁻ˣ)/x! (Summation From 0 to x)

But the probability required is that the messages thay come in an hour is between 15 and 20, that is, P(15 < X < 20)

P(15 < X < 20) = P(X < 20) - P(X ≤ 15)

These probabilities will be evaluated using a cumulative frequency calculator.

P(X < 20) = 0.65092

P(X ≤ 15) = poissoncdf(18, 15) = 0.28665

P(15 < X < 20) = P(X < 20) - P(X ≤ 15) = 0.65092 - 0.28665 = 0.36427.

You can use the Poisson distribution calculator here

https://stattrek.com/online-calculator/poisson.aspx

4 0
3 years ago
Austin keeps a right conical basin for the birds in his garden as represented in the diagram. The basin is 40 centimeters deep,
Lina20 [59]

The shortest distance between the tip of the cone and its rim exits 51.11cm.

<h3>What is the shortest distance between the tip of the cone and its rim?​</h3>

If you draw a line along the middle of the cone, you'd finish up with two right triangles and the line even bisects the angle between the sloping sides. The shortest distance between the tip of the cone and its rim exists in the hypotenuse of a right triangle with one angle calculating 38.5°. So, utilizing trigonometry and allowing x as the measurement of the shortest distance between the tip of the cone and its rim.

Cos 38.5 = 40 / x

Solving the value of x, we get

Multiply both sides by x

$\cos \left(38.5^{\circ}\right) x=\frac{40}{x} x

$\cos \left(38.5^{\circ}\right) x=40

Divide both sides by $\cos \left(38.5^{\circ}\right)$

$\frac{\cos \left(38.5^{\circ}\right) x}{\cos \left(38.5^{\circ}\right)}=\frac{40}{\cos \left(38.5^{\circ}\right)}

simplifying the above equation, we get

$x=\frac{40}{\cos \left(38.5^{\circ}\right)}

x = 51.11cm

The shortest distance between the tip of the cone and its rim exits 51.11cm.

To learn more about right triangles refer to:

brainly.com/question/12111621

#SPJ9

7 0
1 year ago
Read 2 more answers
*** WHITE Given m|n, find the value of x. (2x-3) (6X+17)​
-BARSIC- [3]

Answer:I dont belive i know

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Need help with all three questions...
MA_775_DIABLO [31]
7) 2-9= -7 because, if you have two cookies and promised nine friends cookies, you would still owe 7 friends cookies or -7
8) -3 - (-4)= 1 because you owe 3 friends cookies, then you get 4 cookies and have one left over
9) 11 - (-12)= 23 because a negative plus a negative is a positive
4 0
3 years ago
HELP!!!! Order the lengths of the sides of ABC from greatest to least
slava [35]

Answer:

ABC

Step-by-step explanation:

78 > 56

78 > 46

56 > 46

78, 56, 46

3 0
2 years ago
Read 2 more answers
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