MATHEMATICS HIGH SCHOOL

The monthly utility bills in a city are normally distributed with a mean of $121 and a standard deviation of $23. Find the probability that a randomly selected utility bill is between $110 and $130.

Answers

Answer 1

Answer:

Step-by-step explanation:

Applying the formula for normal distribution,

z = (x - u)/s

Where u = mean

s = standard deviation

x = the monthly utility bill in dollars

From the information given,

s = 23

u = 121

The probability that a randomly selected utility bill is between $110 and $130 is expressed as

P(110 lesser than or equal to x lesser than or equal to 130)

For 110

z1 = (110 - 121)/23 = - 11/23

z1 = - 0.4783

Looking at the normal distribution table,

The corresponding z score is 0.3192

For 130

z2 = (130 - 121)/23 = 9/23

z2 = 0.391

Looking at the normal distribution table,

The corresponding z score is 0.65173

P(110 lesser than or equal to x lesser than or equal to 130) = 0.65173 - 0.3192 = 0.33253

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'You are playing paintball with a friend who is standing 15 meters away from you. You shoot at her and miss. The paintball has a horizontal velocity of 150 meters per second. Which of the following sequences describes the distances of the ball from you, in meters, at one-tenth second intervals, starting when it swooshes by her?A. 15, 30, 45, 60, 75, ...
B. 15, 165, 315, 465, 615, ...
C. 15, 25, 35, 45, 55, ...
D. 30, 45, 60, 75, 90, ...
E. 150, 300, 450, 600, 750, ...'

Answers

At 150 meters per second, the ball covers 15 meters every 1/10 of a second.
When it swooshes by her, it's 15 meters from you. Beginning at that time, the
distances from you at subsequent intervals of 1/10 second are 30, 45, 60, 75, etc.
That's choice-'D'.

Note that only the horizontal distance from you is reflected. The drop of the paintball
under the influence of gravity is utterly and completely ignored.

Answer:

The answer is A. 15, 30, 45, 60, 75

Step-by-step explanation:

i clicked D like the "expert" said and got it wrong

Although Dan's psychology class is sometimes longer or shorter than usual, on average each class is 50 minutes. If the lengths of these classes form a normal curve, which statistic would enable Dan to estimate the probability that any single class will last somewhere between 47 and 53 minutes?

Answers

Answer:

the sample standard deviation

Step-by-step explanation:

The statistic that would enable Dan to estimate the probability that any single class will last somewhere between 47 and 53 minutes is the sample standard deviation. If we have the mean and the standard deviation and we know that the lenghts of the classes form a normal curve, we can compute probabilities either with the empirical rule or using a table of probabilities from a book. The normal distribution is completely determined with the mean and the standard deviation.

Help me to got a answer.

Answers

Take a piece of paper and a pencil. Draw 8 little squares in a line. Those are the supports, just like it says. Now write "4 ft" in every space between the supports, just like it says. Finally, addum all up.

You should have "4 ft" written in seven spaces.
So you'll add up "4 ft" seven times, and the total will be 28 feet.

−9 ⋅ (5j+k) // Have fun!

Answers

Answer:

Step-by-step explanation:

= -45j - 9k

Determine which transformation occurred:M(4, -1), A(-2, 2), T(-5, -3)
M'(-4,1), A'(2,-2), T'(5, 3)

Answers

Answer:

Reflection over both y and x axes

Step-by-step explanation:

So we can see that all points have become their negative. If this only applied to x coordinates, this would have been a relfection over the y axis. If it only applied to x, it would be a reflection over the x. But since it applies to both, the answer is that it was a reflection over both axes.

Answer:

Rotation

Step-by-step explanation:

See below. Hope it helps:)

How do you find the equation of the line in standard form that is perpendicular to the line y=3x+2 and passes through (-1, 5)please help!!!

Answers

$y=mx+b \perp y=3x+2 \n\Downarrow \hbox{the product of the slopes is -1} \nm * 3=-1 \nm=-(1)/(3) \n y=-(1)/(3)x+b \n \n(-1,5) \nx=-1 \ny=5 \n \Downarrow \n5=-(1)/(3) * (-1) + b \n5=(1)/(3)+b \n5-(1)/(3)=b \n(15)/(3)-(1)/(3)=b \nb=(14)/(3) \ny=-(1)/(3)x+(14)/(3) \n \ny=-(1)/(3)x+(14)/(3) \n(1)/(3)x+y=(14)/(3) \ \ \ |* 3 \n\boxed{x+3y=14}$

A perpendicular line has a slope that is the negative reciprocal of the line it's crossing. The negative reciprocal of 3 is -(1/3).

y=mx+b
5=-(1/3)(1)+b
5=(1/3)+b
4(2/3)=b

your final answer is:
y=(1/3)x+4(2/3)

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