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Schach [20]
2 years ago
7

What does y=mx+b equal

Mathematics
1 answer:
Andrei [34K]2 years ago
8 0

Answer:

slope intercept form

Step-by-step explanation:

y=mx+b is slope-intercept form

I hope this helps :)

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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
Infotron Inc makes electronic hockey and soccer games. Each hockey game requires 2​ labor-hours of assembly and 2​ labor-hours o
OlgaM077 [116]

Answer:

<u>Infotron should produce each day 13 hockey and 6 soccer games</u>

Step-by-step explanation:

x = Number of hockey games Infotron should produce

y = Number of soccer games Infotron should produce

Number of labor-hours for assembly = 2x + 3y

Number of labor-hours for testing = 2x + y

Now we can write our equations system, this way:

2x + 3y = 44

2x + y = 32

*********************

Expressing y in terms of x in the 2nd equation:

2x + y = 32

y = 32 - 2x

********************

Substituting y and solving for x in the 1st equation:

2x + 3y = 44

2x + 3 * ( 32 - 2x) = 44

2x + 96 - 6x = 44

-4x = 44 - 96

-4x = - 52

x = -52/-4

x = 13

*****************

Solving for y in the 2nd equation:

2x + y = 32

2 * 13 + y = 32

26 + y = 32

y = 32 - 26

y =<u> 6</u>

<u>Infotron should produce each day 13 hockey and 6 soccer games</u>

7 0
3 years ago
1 liter is equivalent to 1,000 milliliters how many litters are in 2,500 milliliters.
Furkat [3]
You can create and solve a proportion to get this answer. 
Let x be the number of litters in 2500.

1. Write out proportion.                         1/1000=x/2500
2. Cross Multiply.                                   1000x=2500
3. Divide by 1000 on each side.                     x=25
 

3 0
3 years ago
Find the square root of 312.5​
jeka94

Answer:

17.67766953

=17.7 (to 3 s.f.)

5 0
2 years ago
Can someone please explain how to do c i thank you
maksim [4K]

i) first you combine the like terms; 3x² and x², then 4x and -8x, then -7n and -1.

Then you would get 4x²-4x-8.

You then cannot simplify further. so your answer would be 4x²-4x-8.

4 0
3 years ago
Read 2 more answers
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