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Eduardwww [97]
3 years ago
7

Solve for x if DEFG is a parallelogram

Mathematics
1 answer:
NeTakaya3 years ago
3 0
Opposite sides of a parallelogram are congruent, so you know that 2x + 2 = 3x - 3. start by adding 3 to both sides to get 2x + 5 = 3x. then subtract 2x from both sides to get 5 = x.
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In a binomial experiment with 45 trials, the probability of more than 25 success can be approximated by What is the probability
Pani-rosa [81]

Answer:

0.6 is the probability of success of a single trial of the experiment

Complete Problem Statement:

In a binomial experiment with 45 trials, the probability of more than 25 successes can be approximated by P(Z>\frac{(25-27)}{3.29})

What is the probability of success of a single trial of this experiment?

Options:

  • 0.07
  • 0.56
  • 0.79
  • 0.6

Step-by-step explanation:

So to solve this, we need to use the binomial distribution. When using an approximation of a binomially distributed variable through normal distribution , we get:

\mu =\frac{np}{\sigma}=\sqrt{np(1-p)}

now,

Z=\frac{X-\mu}{\sigma}

so,

by comparing with P(Z>\frac{(25-27)}{3.29}), we get:

μ=np=27

\sigma=\sqrt{np(1-p)} =3.29

put np=27

we get:

\sigma=\sqrt{27(1-p)} =3.29

take square on both sides:

10.8241=27-27p

27p=27-10.8241

p=0.6

Which is the probability of success of a single trial of the experiment

5 0
3 years ago
How to prove that a shape is a square on the coordinate plane?
Goshia [24]
If a quadrilateral has four congruent sides and four right angles, then it's a square, and also If two consecutive sides of a rectangle are congruent, then it's a square.

Glad I could help, Have a great day!
5 0
3 years ago
Read 2 more answers
The question is in the picture
Eddi Din [679]

Answer:

no

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Can someoneee please help me
icang [17]

9514 1404 393

Answer:

  37°

Step-by-step explanation:

The diagonals of a rhombus are angle bisectors. Angle 1 matches the other half of angle L.

  ∠1 = 37°

__

Angle 2 is the complement, 53°, and angle 3 is the same as angle 2, 53°.

The diagonals of a rhombus are perpendicular bisectors of each other, so angle 4 is 90°.

7 0
3 years ago
You want to deposit $1000 in a savings account for 3 years. One bank
Butoxors [25]

Answer:

2nd bank

Step-by-step explanation:

bank one:10*2=(20*3=60)

                $1000+$100+$60=$1160

                total after 3 years = $1160

bank two:$10*6=(60*3=180)

                 $1000+$180=$1180

                total after 3 years = $1180

4 0
3 years ago
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