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tensa zangetsu [6.8K]
3 years ago
10

Which two equations are equivalent?a y = (x 4)2y = x2 16 b y = (x – 3)2y = x2 – 6x 9 c y = (x 2)2y = x2 2x 2 d y = (x – 6)2y = x

2 – 12x – 36?
Mathematics
1 answer:
inysia [295]3 years ago
6 0
Option b is the correct answer
y = (x - 3)^2 is equivalent to y = x^2 - 6x + 9
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A contest on a game show has 30 points.she answers a question correctly to win 15 points.the she answers a question incorrectly
Oksanka [162]
5 points, because I think you’re saying they started off with 30 points and they answered a question wrong a lost 25 so 30-25 is 5.
8 0
2 years ago
The results of a common standardized test used in psychology research is designed so that the population mean is 145 and the sta
anygoal [31]

The value 155 is zero standard deviations from the mean, because x = μ , and therefore z = 0.

<h3>What is Standard Deviation?</h3>

The standard deviation is a measure of the amount of variation or dispersion of a set of values.

The key concept we need to manage here is the z-scores , and we can obtain a z-score using the next formula:

z = (x - μ)/σ      ..............[1]

Where

z is the z-score.

x is the raw score: an observation from the normally distributed data that we want standardize using [1].

μ is the population mean.

σ is the population standard deviation.

These standardized values have always the same probability in the standard normal distribution, and this is the advantage of using it for calculating probabilities for normally distributed data.

A subject earns a score of 155.

From the question, we know that:

x = 155.

μ = 155

σ = 50

Having into account all the previous information, we can say that the raw score, x = 155, is zero standard deviations units from the mean. The subject earned a score that equals the population mean. Then, using [1]:

z = (x - μ)/σ

z = (155 - 155) / 50

z = 0/50

z = 0

As we say before, the z-score "tells us" the distance from the population mean, and in this case this value equals zero:  

x = μ

Therefore, z = 0

So, the value 155 is zero standard deviations from the [population] mean.

Learn more about Standard Deviation from:

brainly.com/question/13905583

#SPJ1

8 0
2 years ago
Select from the drop-down menus to correctly complete each statement. 17.2 is 17.2 units to the ____ of zero on a number line. T
Fudgin [204]
Hello!

The number line progresses from negative infinity (extreme left) to positive infinity (extreme right). Beginning at zero, the numbers increase in value as they move to the right and decrease in value as they move to the left.

With this knowledge, we can look at the number 17.2 (a positive number) and conclude that it is placed 17.2 units to the right of zero on the number line.

The opposite of 17.2 would be (-17.2). Again, looking at this number (a negative number), we can conclude that it is placed 17.2 units to the left of zero on the number line.

I hope this helps!
3 0
2 years ago
Read 2 more answers
Write a real word problem for 55x = 1,045
Lady bird [3.3K]

Bob was selling some toys. Every toy cost 55 dollars and he made 1045 dollars in profit on that exact day. How many toys did Bob make on that day?

7 0
2 years ago
Read 2 more answers
When Hailey commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 21 minutes and a
miskamm [114]

Answer: 135 days

Step-by-step explanation:

Since the amount of time it takes her to arrive is normally distributed, then according to the central limit theorem,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 21 minutes

σ = 3.5 minutes

the probability that her commute would be between 19 and 26 minutes is expressed as

P(19 ≤ x ≤ 26)

For (19 ≤ x),

z = (19 - 21)/3.5 = - 0.57

Looking at the normal distribution table, the probability corresponding to the z score is 0.28

For (x ≤ 26),

z = (26 - 21)/3.5 = 1.43

Looking at the normal distribution table, the probability corresponding to the z score is 0.92

Therefore,

P(19 ≤ x ≤ 26) = 0.92 - 28 = 0.64

The number of times that her commute would be between 19 and 26 minutes is

0.64 × 211 = 135 days

8 0
3 years ago
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