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3 years ago

In the picture PLEASE HELP

Mathematics

1 answer:

Debora [2.8K]3 years ago

5 0

I believe it's not a function because the input (x) 4 has two outputs(y), 2 and 8.

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The number of gallons of carbonated soft drink consumed per person annually is normally distributed with mean 47.5 and standard

8_murik_8 [283]

Answer:

$P(45$

And we can find this probability with the following difference:

$P(-0.714$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-0.714$

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 number of gallons of a population, and for this case we know the distribution for X is given by:

$X \sim N(47.5,3.5)$

Where $\mu=47.5$ and $\sigma=3.5$

We are interested on this probability

$P(45$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(45$

And we can find this probability with the following difference:

$P(-0.714$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-0.714$

5 0

3 years ago

Determine whether each pair of segments is congruent

Dafna1 [17]

They are both labeled as 3 feet, so both must be equal, unless you doubt the labeling. Unless that is so, then both segments are equal.

6 0

4 years ago

Please help me thank you

Katen [24]

Answer: y=-0.5x+4.5

Step-by-step explanation: y=mx+b, m is the slope = -1/2 or -0.5, and b is the y-int, which is 4.5

3 0

3 years ago

HELLLPPPPPPPPPPPPPPPP

Shkiper50 [21]

Answer: y = -1x/5 -1

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A company establishes a fund of 120 from which it wants to pay an amount,C, to any of its 20 employees who achieve a high-perfor

Leno4ka [110]

Answer:

$C=120/2=60$

Step by step Explanation'

To solve this problem, we will need to apply trial-and-error calculation with the binomial distribution, even though it appears like Central Limit Theorem but it's not.

For us to know the value of C , we will look for a minimum integer such that having 'n' number of high performance level of employee has the probability below 0.01.

Determine the maximum value of C, then the maximum value that C can have is 120/n

Let us represent X as the number of employees with high performance with a binomial distribution of

P =0.02( since the percentage of chance of achieving a high performance level is 2%)

n = 20 ( number of employees who achieve a high performance level)

The probability of X= 0 can be calculated

P( X= 0) = 0.98^n

$P(X=0)=0.98^20$

$P(X=0)=0.668$

$P(X=1)=0.02*20*0.98^19$

$P(X=1)=0.272$

$P(X=2)=0.02^2*20*0.98^18$

$P(X=2)=0.053$

Summation of P( X= 0)+ P( X= 1)+P( X= 2) will give us the value of 0.993 which is greater than 0.99( 1% that the fund will be inadequate to cover all payments for high performance.)

BUT the summation of P( X= 0)+ P( X= 1) will give the value of 0.94 which doesn't exceed the 0.99 value,

Therefore, the minimum value of integer in such a way that P(X >2) is less than 0.01 have n= 2

then the maximum value that C can have is 120/n

$C=120/2=60$

7 0

4 years ago