500% of 30% of 36 is what percent of 216?

Answers

Answer 1
Answer: 500/100×30/100=5×30/100=1.5
1.5×36=54
216÷54=4
25%

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At a large bank, account balances are normally distributed with a mean of $1,637.52 and a standard deviation of $623.16. What is the probability that a simple random sample of 400 accounts has a mean that exceeds $1,650?

Answers

Answer:

P(\bar X >1650)=P(Z>(1650-1637.52)/((623.16)/(√(400)))=0.401)

And we can use the complement rule and we got:

P(Z>0.401) =1-P(Z<0.401) = 1-0.656= 0.344

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the bank account balances of a population, and for this case we know the distribution for X is given by:

X \sim N(1637.52,623.16)  

Where \mu=1637.52 and \sigma=623.16

Since the distribution of X is normal then the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, (\sigma)/(√(n)))

And we can use the z score formula given by:

z = (\bar X -\mu)/((\sigma)/(√(n)))

And using this formula we got:

P(\bar X >1650)=P(Z>(1650-1637.52)/((623.16)/(√(400)))=0.401)

And we can use the complement rule and we got:

P(Z>0.401) =1-P(Z<0.401) = 1-0.656= 0.344

Answer: the probability is 0.49

Step-by-step explanation:

Since the account balances at the large bank are normally distributed.

we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = account balances.

µ = mean account balance.

σ = standard deviation

From the information given,

µ = $1,637.52

σ = $623.16

We want to find the probability that a simple random sample of 400 accounts has a mean that exceeds $1,650. It is expressed as

P(x > 1650) = 1 - P(x ≤ 1650)

For x = 1650,

z = (1650 - 1637.52)/623.16 = 0.02

Looking at the normal distribution table, the probability corresponding to the z score is 0.51

P(x > 1650) = 1 - 0.51 = 0.49

Circle O has a center at (-2, 10) and adiameter of 12 units. Which point lies on Circle
O?
A. (-6, -5)
B. (-2, 4)
C. (6,4)
D. (8,8)​

Answers

Answer:

B

Step-by-step explanation:

If the point lies on the circle, the distance of the point to the center would be equivalent to the circle's radius since radius is defined as the distance from the center to any point of the circle.

Since length of a radius is half of a diameter,

radius= diameter ÷2

radius= 12 ÷2

radius= 6 units

Let's find the length between each points to see which is equal to 6 units, using the distance formula below.

distance =  \sqrt{(y1 - y2)^(2) +  {(x1 - x2)}^(2)  }

A. Distance between 2 points

=  \sqrt{ {(10 + 5)}^(2)  + ( - 2 + 6)^(2) }  \n  =  \sqrt{15 ^(2) +  {4}^(2)}  \n  =  √(241)  \n  = 15.524 \: units

(to 5 s.f.)

Since the distance is greater than 6 units, point A lies outside the circle.

B. Distance between 2 points

=  \sqrt{ {(10 - 4)}^(2) + ( - 2 + 2)^(2)  }  \n  =  \sqrt{ {6}^(2) }  \n  = 6 \: units

Since the distance of B from the center is 6 units, pointB lies on Circle O.

Let's check the other 2 points:

C. Distance between 2 points

=  \sqrt{ {(10 - 4)}^(2)  +  {( - 2 - 6)}^(2) }  \n  =  \sqrt{ {6}^(2)  + ( - 8)^(2) }  \n  =  √(100)  \n  = 10 \: units

Since the distance of point C from the center is greater than 6 units, point C lies outside the circle.

D. Distance between 2 points

=  \sqrt{ {(10 - 8)}^(2)  +  {( - 2 - 8)}^(2) }  \n  =  \sqrt{2^(2)  + ( - 10)^(2) }  \n  =  √(104)  \n  = 10.198 \: units

(to 5 s.f.)

Point D also lies outside Circle O.

PLEASE help it’s a multiple choice question i’ll mark u brainliest

Answers

I would choose b. You just have to look at the directions it’s going on both sides of the x-axis and describe what’s happening to the Y values. They seem to be opposite in this case.

By what factor is z multiplied to get z1?

Answers

Answer:

The correct answer is -2.

Step-by-step explanation:

"z" = 3+2i, which is (3, 2i) on the graph. You must multiply -2 by 3 and 6, which will give you the plot points for z1, (-6, -4i).

A negative number multiplied into a positive number will result in a negative number.

Therefore, -2 is the correct answer.

Answer:

-2

Step-by-step explanation:

just did it

Jacob walks 1.250 meters to school every day. How many kilometers does Jacob walk in one week?HELP ASAP

Answers

Answer:

ways and answer are in paper

^^^^^^^

Zoe walks 4 kilometers and 600 meters, Elijah runs 3 times as far as Zoe walks. Anthony rides his bike 700 meters farthwr than Elijah runs, how far does Anthony ride in meters?

Answers

Answer:

  14,500 m

Step-by-step explanation:

  1 km is 1000 m, so 4 km = 4000 m.

Zoe walks 4000 +600 = 4600 m.

Elijah runs 3(4600 m) = 13,800 m.

Anthony rides 700 m farther, so rides ...

  13,800 m +700 m = 14,500 m

Anthony rides 14,500 meters.