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vodomira [7]
3 years ago
9

Which is equivalent to P(z ≥ 1.06)?

Mathematics
2 answers:
laiz [17]3 years ago
3 0

Which is equivalent to P(z\geq 1.06)

Solution:  The equivalent expression for P(z\geq 1.06) is 1-P(z\leq 1.06)

<u>Explanation:</u>

The complement rule of probability states that the sum of the probabilities of an event and it's complement mus equal to 1.

Let A be an event and A^{'} be its complement. Then using the complementary rule, we have:

P(A)+P(A^{'})=1 \implies P(A^{'})= 1-P(A)

Using the same complementary rule in the given example:

We have:

P(z\geq 1.06) + P(z

P(z\geq 1.06)=1-P(z

Therefore, the equivalent expression for P(z\geq 1.06) is 1-P(z< 1.06)

WITCHER [35]3 years ago
3 0

Answer:

second part is 14%

Step-by-step explanation:

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PQRS is a parralelogram. the position vector of Q R and S are 5i +7j, -3i-8j and -4i-6j. find the position vector of P
g100num [7]

The value of the variable x = 6 and y = 5. Then the position vector of P will be 6i + 5j.

<h3>What is the equation of a line passing through two points?</h3>

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

PQRS is a parallelogram. the position vector of Q R and S are 5i +7j, -3i-8j and -4i-6j.

Then the point of Q, R, and S will be (5, 7), (-3, -8), and (-4, -6).

Let the point P be (x, y).

We know that the slope of the line QS and PQ will be same and line is passing through (-3, -8).

y = 1.444x + C

-8 = 1.444 (-3) + C

C = -3.667

Then the equation will be

y = 1.444x – 3.667  …1

The slope of the line PQ and RS will be same and line is passing through (5, 7).

y = -2x + D

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Then the equation will be

y = -2x + 17  …2

By solving equation 1 and 2, we have

x = 6 and y = 5

Then the position vector of P will be

⇒ 6i + 5j

The graph is given below.

Learn more about straight-line equations here:

brainly.com/question/380976

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