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alexandr1967 [171]
3 years ago
10

Is it possible for two linear functions whose graphs are parallel lines to have the same y-intercept?explain.

Mathematics
2 answers:
Molodets [167]3 years ago
8 0
Yes it is possiblr please check the attachment below 

andrew-mc [135]3 years ago
4 0
YES it is possibble because it just can
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Judy’s measured potassium level varies according to the Normal distribution with μ = 3.8 and σ = 0.2 mmol/l. Let us consider wha
Basile [38]

Answer:

The blood potassium level L such that the probability is only 0.05 that the average of four measurements is less than L is 3.64.

Step-by-step explanation:

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

Normal probability distribution:

Problems of normally distributed samples are solved using 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 random variable X, with mean \mu and standard deviation \sigma, the sample means of size n can be approximated to a normal distribution with mean \mu and standard deviation, which is also called standard error s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 3.8, \sigma = 0.2, n = 4, s = \frac{0.2}{\sqrt{4}} = 0.1

What is the blood potassium level L such that the probability is only 0.05 that the average of four measurements is less than L?

This is the value of X when Z has a pvalue of 0.05. So it is X when Z = -1.645.

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

By the Central Limit Theorem

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

-1.645 = \frac{X - 3.8}{0.1}

X - 3.8 = -1.645*0.1

X = 3.64

The blood potassium level L such that the probability is only 0.05 that the average of four measurements is less than L is 3.64.

8 0
3 years ago
Read 2 more answers
I need help rn what's the Ratio grade 8 level pls answer omg
guajiro [1.7K]

Answer:

5x:8x

Step-by-step explanation:

X= 0.5

2.5 / 0.5 = 5

4/0.5 =8

so 5x: 8x

I hope im right!!

8 0
2 years ago
Vehicles leave an airport parking facility (arrive at parking fee collection booths) at a rate of 500 veh/h (the time between ar
Nutka1998 [239]

Answer:

At least 3 processing booths should be open.

Step-by-step explanation:

1 vehicle spends an average of 15 seconds in a booth

In N booths , there will be N/15 vehicles in 1 second

In 1 hr, there will be N/15 * 3600 vehicles

Therefore, there will be a total of 240N vehicles/hour

Actual arrival rate of vehicles at the airport is 500 veh/h

Probability of arrival, P = \frac{Number of possible outcomes}{Total outcomes}

P = 500/240N

P = 2.083/N

For the average time spends to be below 5 seconds

\frac{(\frac{P^{2} }{1-p} )}{500} = 5, since 500 is the average value.

\frac{P^{2} }{1-p} } = 2500\\P^{2} = 2500 (1-P)\\P^{2} = 2500 - 2500P\\(\frac{2.083}{N}) ^{2} = 2500 - 2500(\frac{2.083}{N})

2.083^{2} = 2500N^{2} - 5208N\\2500N^{2} - 5208N - 4.34 = 0

N^{2} -2.0832N - 0.0017 = 0

Solving for N using the quadratic formula with a = 1, b = -2.0832, c = -0.0017

N = \frac{-b \pm \sqrt{b^{2} -4ac} }{2a} \\N = \frac{2.0832 \pm \sqrt{(-2.0832)^{2} -4*1*(-0.0017)} }{2}

N = 1.0416 ± 1.0424

N = 2.084 or -0.0008

N = 2.084 is the only realistic value here

Therefore, the smallest number of processing booths that must be open should be 3

5 0
2 years ago
Can anyone explain to me how to find a locus of any point
joja [24]
Find the locus of a point P such that its ordinate is equal to the abscissa. Hence required equation of the locus of point P is y = 5x + 9. Hence required equation of the locus of point P is x = 2y + 3.
3 0
2 years ago
Help me please I need the answer
Lisa [10]

Answer:

I not sure but I think it's A

Step-by-step explanation:

Daniel had 5 rose bushes and and 6 pots of moss which equaled 132. Hannah spent 228 on 10 rose bushes and 9 pots, A basically explains that.

6 0
2 years ago
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