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3 years ago

Fin the values of x and y, help me

Mathematics

1 answer:

astraxan [27]3 years ago

3 0

Answer:

x = 25 , y = 19

Step-by-step explanation:

Since the triangle has 3 congruent sides then it is equilateral

The 3 angles are also congruent, with each angle = 60° , then

2x + 10 = 60 ( subtract 10 from both sides )

2x = 50 ( divide both sides by 2 )

x = 25

and

3y + 3 = 60 ( subtract 3 from both sides )

3y = 57 ( divide both sides by 3 )

y = 19

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You work on a surgical unit that receives 87 new patients per week. In your spare time, you are trying to improve pain control a

Tomtit [17]

Collect data on a representative selection of patients for two weeks.

is the best data collection plan for this project.

According to the statement

we have a given that the surgical unit that receives 87 new patients per week.

and we have to tell the data plan to collect the baseline data before testing your change to control the pain across the unit.

And We know that the Data collection is A representative sample is one technique that can be used for obtaining insights and observations about a targeted population group

So,

Collecting data on a representative portion of your population — that is, sampling — allows you to collect baseline data and start making improvements faster, using fewer resources, than would be possible if you tried to look at every patient. Baseline data is important so that you can see if the changes you are testing are leading to improvement. Collecting data about a non representative sample of your population, such as by looking only at patients with the most severe pain, won't show the broad impact of your project on your unit.

So, Collect data on a representative selection of patients for two weeks.

is the best data collection plan for this project.

Learn more about Data collection here brainly.com/question/518894

Disclaimer: This question is incomplete. Please read the full content below.

Question:

You work on a surgical unit that receives 87 new patients per week. In your spare time, you are trying to improve pain control across the unit. As you prepare to collect your baseline data before testing your change, you consider your plan to gather this information. Which of the following would be the best data collection plan for this project, and why?

(A) Collect data on the pain level of every patient for at least a year.

(B) Collect data for at least a year, focusing only on patients who have undergone especially painful surgeries.

(D) There is no reason to collect baseline data.

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2 years ago

How much interest is earned on an investment of $12,000 at 2.9% compounded daily for eight years

geniusboy [140]

Answer:

$3,113,34

Step-by-step explanation:

The formula for calculating compound interest is

$A=P(1+\frac{r}{n})^{nt}$

Where

A=the future total value, i.e, the money you will have after t years.

P=the initial deposit.

r=the annual interest rate.

n=the number of times that interest is compounded per year.

t=the number of years the money is saved.

In our case

A is unknown and we will have to calculate it with the formula.

P=$12,000

r=2.9%=0.029

n=365 because the interest is compounded daily and there are 365 days in a year

t=8 years

Applying the formula we get

$A=12,000(1+\frac{0.029}{365})^{365\times8}$

$A=12,000(1+\frac{0.029}{365})^{2,920}$

$A=12,000(1.000079)^{2,920}$

So A=15,113.336

This is the amount of money you would have after 8 years.

Subtracting the initial deposit from this amount we obtain the interest earned I

I=15,113.336-12,000=3,113.336

Rounded to the nearest hundreth

I=$3,113,30

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4 years ago

An appliance dealer's website features the mean life expectancy values for major household appliances. A standard refrigerator's

marshall27 [118]

Answer:

There is an 84% probability that your standard refrigerator will last between 12 and 20 years.

Step-by-step explanation:

Problems of normally distributed samples can be 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.

In this problem, we have that:

A standard refrigerator's mean life expectancy is 18 years with a standard deviation of 2 years. This means that $\mu = 18, \sigma = 2$ .

What is the probability that your standard refrigerator will last between 12 and 20 years?

This probability is the pvalue of Z when $X = 20$ subtracted by the pvalue of Z when $X = 12$ . So

X = 20

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

$Z = \frac{20 - 18}{2}$

$Z = 1$

$Z = 1$ has a pvalue of 0.8413

X = 12

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

$Z = \frac{12- 18}{2}$

$Z = -3$

$Z = -3$ has a pvalue of 0.0014

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