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3 years ago

Which are the coordinates of the vertices of a triangle congruent to ΔPQR?

Mathematics

2 answers:

Evgesh-ka [11]3 years ago

7 0

Since we don't have the picture of triangle PQR, I can only get you started in the right direction.

The word congruent means exactly the same size and shape as another object.
To find the congruent triangle, plot the given points. Select the triangle that is the same shape and size as triangle PQR.

lutik1710 [3]3 years ago

3 0

Answer:

here is the pic

Step-by-step explanation:

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According to a study done by a university student, the probability a randomly selected individual will not cover his or her mou

Igoryamba

Answer: kindly check explanation

Step-by-step explanation:

Probability of not covering mouth = p(success) = 0.267

Hence, p(covering mouth) = 1 - 0.267 = 0.733

a) What is the probability that among 12 randomly observed individuals exactly 8 do not cover their mouth when sneezing?

Number of samples (n) = 12

P(X = 8)

Using binomial distribution :

P(x) = nCx * p^x * (1-p)^(n-x)

P(x =8) = 12C8 * 0.267^8 * 0.733^(12-8)

P(x =8) = 12C8 * 0.267^8 * 0.733^4

= 0.00369

b) What is the probability that among 12 randomly observed individuals fewer than 6 do not cover their mouth when sneezing?

P(X < 6) = p(5) + p(4) + p(3) + p(2) + p(1) + p(0)

To save computation time, we can use an online binomial probability calculator :

P(X < 6) = 0.9275

C.) Yes, I will be surprised, because from the binomial probability obtained above, there is a high probability (0.9275) that fewer than half do not cover their mouth.

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3 years ago

Population growth is: A) Logarithmic B) Linear C) Exponential Please help ASAP!!! :(

Monica [59]

For this case we have that by definition the growth of a population is a function of the form:

$f (x) = a (b) ^ x$

Where,

a: initial population
b: growth rate
x: number of years

We observe then that the function is of the exponential type.

Answer:

C) Exponential

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3 years ago

-4 1/5+3 2/3+ -1 2/5

Paul [167]

Answer:

-1.9

Step-by-step explanation:

I rounded it to the tenth

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3 years ago

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3(1−9a)+22a=2(2a−9)−15 i need a step by step explanation please

SpyIntel [72]

Answer:a=4

Step-by-step explanation:

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Eben, an alien from the planet Tellurango, kicks a football from field level. The equation for the football’s height in meters,

Luden [163]

The maxima of a differential equation can be obtained by getting the 1st derivate dx/dy and equating it to 0.

Given the equation h = - 2 t^2 + 12 t , taking the 1st derivative result in:

dh = - 4 t dt + 12 dt

dh / dt = 0 = - 4 t + 12 calculating for t:

t = -12 / - 4

t = 3 s

Therefore the maximum height obtained is calculated by plugging in the value of t in the given equation.

h = -2 (3)^2 + 12 (3)

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This problem can also be solved graphically by plotting t (x-axis) against h (y-axis). Then assigning values to t and calculate for h and plot it in the graph to see the point in which the peak is obtained. Therefore the answer to this is:

The ball reaches a maximum height of 18 meters. The maximum of h(t) can be found both graphically or algebraically, and lies at (3,18). The x-coordinate, 3, is the time in seconds it takes the ball to reach maximum height, and the y-coordinate, 18, is the max height in meters.

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3 years ago