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allochka39001 [22]
3 years ago
5

Write in slope intercept form. 2x + y = 2

Mathematics
2 answers:
alisha [4.7K]3 years ago
6 0

Answer:

y= -2x+2

Step-by-step explanation:

Slope intercept form is y=mx+b.

To write this equation in slope-intercept form, we must isolate y.

2x+y=2

Subtract 2x from both sides

y= -2x+2

Gelneren [198K]3 years ago
5 0

Answer:

y=2x−2

Step-by-step explanation:

mx+b=y

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A plant grows the same amount every week. Which graph matches the situation described? b e .​
dem82 [27]

Answer:

Option A

Step-by-step explanation:

Let the height of plant is 'b' units.

Graph representing the height of the plant will have y-intercept = b units

Since, the plant is growing at the same rate every week,

And growth of the plant is continuous.

Therefore, graph will be a straight line and continuous.

Since, the height of the plant is always increasing,

Slope of the line will be positive.

Option A will be the answer.

8 0
3 years ago
Each contestant in the Hunger Games must be trained to compete. Suppose that the time it takes to train a contestant has mean 5
LiRa [457]

Answer:

11.51% probability that it will take less than 450 days to train all the contestants.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the sum of n variables, the mean is \mu*n and the standard deviation is s = \sigma\sqrt{n}

In this question:

n = 100, \mu = 100*5 = 500, s = 4\sqrt{100} = 40

Approximate the probability that it will take less than 450 days to train all the contestants.

This is the pvalue of Z when X = 450.

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

By the Central Limit Theorem

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

Z = \frac{450 - 500}{40}

Z = -1.2

Z = -1.2 has a pvalue of 0.1151

11.51% probability that it will take less than 450 days to train all the contestants.

8 0
3 years ago
Draw the image of the rectangle ABCD under dilation using Center p and scale factor 1/2 ​
WINSTONCH [101]

Answer:

we can not draw on here

Step-by-step explanation:

7 0
3 years ago
PLZ HURRY IT'S URGENT!!!!<br> Find the volume of the prism.
harina [27]

Answer:

30

Step-by-step explanation:

5 0
3 years ago
128 is 74% of what number
GarryVolchara [31]
Percent means parts out of 100
74%=74/100=0.74


'of' means multiply


so
128 is 74% of what means
128=0.74 times what
divide both sides by 0.74
172.97297297297297297297297297297=what
the number is about 173

5 0
3 years ago
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