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lana [24]
2 years ago
10

What could be shown about the diagonals of parallelogram PQRS to compare the proof that diagonals of a parallelogram bisect each

other?

Mathematics
1 answer:
Anna71 [15]2 years ago
8 0

Answer:

C. PR and SQ have the same midpoing

Step-by-step explanation:

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Assume that 8​% of people are​ left-handed. We select 6 people at random. ​a) How many lefties do you​ expect? ​b) With what sta
klemol [59]

Answer:

a) 0.48

b) 0.6645

c) 12.5

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are left-handed, or they are not. The probabilities of each person being left-handed are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

The number of trials expected to find r sucesses is given by

N = \frac{r}{p}

In this problem we have that:

Assume that 8​% of people are​ left-handed. We select 6 people at random. ​

This means that p = 0.08, n = 6

a) How many lefties do you​ expect?

E(X) = np = 6*0.08 = 0.48

​b) With what standard​ deviation?

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{6*0.08*0.92} = 0.6645

​c) If we keep picking people until we find a​ lefty, how long do you expect it will​ take?

Number of trials to find 1 success. So

N = \frac{r}{p} = \frac{1}{0.08} = 12.5

4 0
3 years ago
NEED HELP! The ski lift at Thunder Mountain called Devils Canyon is quite dangerous. Usually 2% of the skiers who attempt the ru
grigory [225]
We will be using the binomial probability formula to solve the problem

The formula is given by ⁿCₓ (p)ˣ (1-p)ⁿ⁻ˣ

Where:
n = the number of trials = 100
x = the number of samples we are trying on = 3
p = the probability of success = 2% = 0.02

We can either calculate ⁿCₓ by using the scientific calculator using the ^nC_r button or by doing it manually use \frac{n!}{(n-x)!x!}

P(3) = ¹⁰⁰C₃ (0.02)³ (1 - 0.02)¹⁰⁰⁻³
P(3) = ¹⁰⁰C₃ (0.02)³ (0.98)⁹⁸
P(3) = 0.182 (rounded to three decimal places)

Correct answer: option 3
7 0
3 years ago
Find the slope of the line that passes through the points.
Diano4ka-milaya [45]

Answer:

its 41

Step-by-step explanation:

rnsdhzbs sd

3 0
2 years ago
A triangle has sides with lengths of 10 cm 6 cm and 8cm is it a right triangle
Artyom0805 [142]

Answer:

Yes!

Step-by-step explanation:

6: 8: 10, makes a ratio of 3: 4: 5, making a right triangle

6 0
3 years ago
Here is an expression: 3⋅2 Evaluate the expression when is 1. Evaluate the expression when is 4.
zmey [24]

Answer:

1.) 5

2.) 14

Step-by-step explanation:

As given,

the expression - 3x + 2

1.)

Evaluate the expression when x is 1

⇒ 3x + 2 = 3(1) + 2 = 3+2 = 5

2.)

Evaluate the expression when x is 4

⇒ 3x + 2 = 3(4) + 2 = 12+2 = 14

3 0
3 years ago
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