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3 years ago

How do you simplify6y-3-5y

Mathematics

1 answer:

kogti [31]3 years ago

5 0

You combine like terms. 6y - 5y = 1y
So in its simplest form it would be 1y - 3

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A random sample of 25 statistics examinations was selected. The average score in the sample was 76 with a variance of 144. Assum

ki77a [65]

Answer:

The confidence interval is from 69.82 o 82.18

Step-by-step explanation:

Using this formula X ± Z (s/√n)

Where

X = 76 --------------------------Mean

S = Standard Deviation

If Variance = 144

S = √144

S = 12

n = 25 ----------------------------------Number of observation

Z = 2.576 ------------------------------The chosen Z-value from the confidence table below

Confidence Interval || Z

80%. || 1.282

85% || 1.440

90%. || 1.645

95%. || 1.960

99%. || 2.576

99.5%. || 2.807

99.9%. || 3.291

Substituting these values in the formula

Confidence Interval (CI) = 76 ± 2.576 (12/√25)

CI = 76 ± 2.576(12/5)

CI = 76 ± 2.576(2.4)

CI = 76 ± 6.1824

CI = 76 + 6.1824 ~ 76 - 6.1824

CI = 82.1824 ~ 69.8176

CI = 82.18 ~ 69.82

In other words the confidence interval is from 69.8176 to 82.1824

4 0

3 years ago

The average number of customers arriving at a gas station is 33 per hour during lunch hours. Use equation to denote the number o

Paha777 [63]

Answer:

The equation denoting the number of arrivals in 5 minutes is, $\frac{33}{60}\times5$ .

The number of arrivals in 5 minutes is 2.75.

Step-by-step explanation:

Let X = number of customers arriving at a gas station in an hour.

The average customers arriving at a gas station in an hour is, λ = 33.

The random variable X follows a Poisson distribution with parameter λ.

The probability mass function of a Poisson distribution is:

$P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,3...$

In 60 minutes the number of arrivals is, 33.

In 1 minute the number of arrival will be, $\frac{33}{60}$ .

Then in 5 minutes the number of arrivals will be, $\frac{33}{60}\times5$ .

The equation denoting the number of arrivals in 5 minutes is, $\frac{33}{60}\times5$ .

The number of arrivals in 5 minutes is

$\frac{33}{60}\times5=2.75$

Thus, the number of arrivals in 5 minutes is 2.75.

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3 years ago

Determine the interval(s)on which the function is strictly increasing.

Angelina_Jolie [31]

Check the picture below.

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A spinner has three sections. The table shows the results of spinning the arrow on the spinner 80 times.

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