Diabetic patients have normally distributed cholesterol with mean 200 and standard deviation=10.


Find the percentage of patients whose cholesterol is between 198 mg/dL and


207 mg/dL ?

Answers

Answer 1

Answer:

The percentage of patients whose cholesterol is between 198 mg/dL and 207 mg/dL is 33.73%

Step-by-step explanation:

To calculate this proportion, we follow the probability route, using the z-score statistics

Mathematically;

z-score = (x-mean)/SD

from the question, mean = 200 and SD = 10

So for 198

z-score = (198-200)/10 = -2/10 = -0.2

For 207

z-score = (207-200)/10 = 7/10 = 0.7

So the probability we want to calculate is;

P(-0.2<z<0.7)

Mathematically this can be calculated as;

P(z<0.7) - P(z<-0.2)

We can calculate the required probability using the standard normal distribution table

P(-0.2<x<0.7) = 0.3373 from the standard distribution table

So it is this 0.3373 that we now convert to percentage and that is 33.73%


Related Questions

construct thruth table for each of the following Statement

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Rhonda I just got home from

prove:
[tex] \frac{1}{secθ + \tanθ} - \frac{1}{cosθ} = \frac{1}{cosθ} - \frac{1}{secθ - tanθ} [/tex]

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Answer:

I hope you are searching for this......

Can someone please help me solve the equation?

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Answer:

B opition is right

Step-by-step explanation:

The domina a function of

Consider the line 9x + 8y = -8.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?

Answers

Answer:

Step-by-step explanation:

The slope of the line is -9/8. The slope of any parallel to the line is also -9/8.

3 to the fourth power

Answers

Answer:

It's 81

Step-by-step explanation:

You can use a calculator on go.ogle :D

What is a the answer??

Answers

Answer:

First one=120,138 Second one=477,900

Step-by-step explanation: For the first one use subtraction, and for the second one use multiplication. Such as multiplying each digit of 6,372 by 7 and by 5. The top one is pretty self explanatory.

The first one is 120138 and the second one is 477900

The sum of two numbers is 13. Two times the first number minus 3 times the second number is one. If your ex stand for the first number and why for the second number what are the two numbers

Answers

Answer:x = 8, y = 5

Step-by-step explanation:The sum of two numbers is 13. Two times the first number minus three times the second numberis 1. If you let x stand for the first number and y for the second number, the two numbers are: A. x = 8, y = 5

in figure , EF=1 and FC=2 What is the length of AC?

Answers

Step-by-step explanation:

ae=ec

ec=1+2=3

then ae=3

Answer:

6-most likely (AC=6)

Step-by-step explanation:

Because the 2 sides, AE and EC *look the same. Also you can look at the opposite sides.

*This is what I think

Sharvay spends $15 to buy 17 pieces of candy. M&M’s cost $0.75 and candy bars cost $1. How many M&M’s and candy bars did Sharvay buy?

Answers

Answer:

8 M&Ms and 9 Candy Bars

Step-by-step explanation:

$15 dollars could buy 15 candy bars, and there are 17 pieces of candy total.

Prioritizing the number of bars:

0.75 * 2 = 1.50

1.50 * 2 = 3

At least $3 were spend on M&Ms, meaning 4 M&Ms and 12 candy bars, which is only 16 candy pieces...

8 M&Ms and 9 candy bars is equivalent to 17 total candy pieces.

a student ran out of time on a multiple choice exam and randomly guess the answers for two problems each problem have four answer choices ABCD and only one correct answer what is the probability that he answered neither of the problems correctly ​

Answers

Answer:

The probability that he answered neither of the problems correctly ​is 0.0625.

Step-by-step explanation:

We are given that a student ran out of time on a multiple-choice exam and randomly guess the answers for two problems each problem have four answer choices ABCD and only one correct answer.

Let X = Number of problems correctly ​answered by a student.

The above situation can be represented through binomial distribution;

[tex]P(X=r)=\binom{n}{r}\times p^{r}\times (1-p)^{n-r};x=0,1,2,3,....[/tex]    

where, n = number of trials (samples) taken = 2 problems

           r = number of success = neither of the problems are correct

           p = probability of success which in our question is probability that

                 a student answer correctly, i.e; p = [tex]\frac{1}{4}[/tex] = 0.75.

So, X ~ Binom(n = 2, p = 0.75)

Now, the probability that he answered neither of the problems correctly ​is given by = P(X = 0)

             P(X = 0) = [tex]\binom{2}{0}\times 0.75^{0}\times (1-0.75)^{2-0}[/tex]

                            = [tex]1 \times 1\times 0.25^{2}[/tex]

                            = 0.0625

What number represents the same amount as 8 hundreds + 10 tens + 0 ones? i was told 810 is incorrect

Answers

Answer:

900

Step-by-step explanation:

You have 10 tens not 1 ten

8 * 100 + 10 * 10 + 0*1

800 + 100 + 0

900

Answer:

[tex]900[/tex]

Step-by-step explanation:

[tex]8 \times 100 + 10 \times 10 + 0 \times 1 \\ 800 + 100 + 0 \\ = 900[/tex]

Heights of men on a baseball team have a​ bell-shaped distribution with a mean of and a standard deviation of . Using the empirical​ rule, what is the approximate percentage of the men between the following​ values? a.166 cm and 202 cm b. 172cm and 196cm

Answers

Let assume that the mean is 184 and the standard deviation is 6

Heights of men on a baseball team have a​ bell-shaped distribution with a mean 184 of and a standard deviation of 6 . Using the empirical​ rule, what is the approximate percentage of the men between the following​ values? a.166 cm and 202 cm b. 172 cm and 196cm

Answer:

P(156<X<202) =  99.7%

P(172<X<196) =  95.5%

Step-by-step explanation:

Given that :

Heights of men on a baseball team have a​ bell-shaped distribution with a mean of and a standard deviation of . Using the empirical​ rule, what is the approximate percentage of the men between the following​ values? a.166 cm and 202 cm b. 172 cm and 196cm

For a.

Using the empirical​ rule, what is the approximate percentage of the men between the following​ values 166 cm and 202 cm.

the z score can be determined by using the formula:

[tex]z = \dfrac{X - \mu}{\sigma}[/tex]

[tex]z(166) = \dfrac{166-184}{6}[/tex]

[tex]z(166) = \dfrac{-18}{6}[/tex]

z(166) = -3

[tex]z(202) = \dfrac{202-184}{6}[/tex]

[tex]z(202) = \dfrac{18}{6}[/tex]

z(202) = 3

P(156<X<202) = P( μ - 3σ < X < μ + 3σ )

P(156<X<202) = P( - 3 < Z < 3)

P(156<X<202) = P( Z <  3) - P(Z < -3)

P(156<X<202) = 0.99865-  0.001349

P(156<X<202) =  0.997301

P(156<X<202) =  99.7%

For b.

b. 172 cm and 196cm

[tex]z = \dfrac{X - \mu}{\sigma}[/tex]

[tex]z(172) = \dfrac{172-184}{6}[/tex]

[tex]z(172) = \dfrac{-12}{6}[/tex]

z(172) = -2

[tex]z(196) = \dfrac{196-184}{6}[/tex]

[tex]z(196) = \dfrac{12}{6}[/tex]

z(196) = 2

P(172<X<196) = P( μ - 2σ < X < μ + 2σ )

P(172<X<196) = P( - 2 < Z < 2)

P(172<X<196) = P( Z <  2) - P(Z < -2)

P(172<X<196) = 0.9772 -  0.02275

P(172<X<196) =  0.95445

P(172<X<196) =  95.5%

Simplify -5g + 10 + 7g - 3

Answers

Answer:

Hey there!

We can simplify this by combining like terms.

-5g+10+7g-3

-5g+7g+10-3

2g+7

Let me know if this helps :)

Answer: [tex]2g+7[/tex]

Combine Like Terms

[tex]-5g+10+7g+-3\\(-5g+7g)+(10+-3)\\2g+7[/tex]

15. What is the next number in this series?
6, 11, 9, 14, 12,
a. 17
b. 10
C. 18
d. 16

Answers

Answer:

a. 17

Step-by-step explanation:

The pattern is add 5 then subtract 2

coordinates of England

Answers

Answer:

52.3555 north

1.1745 west

The numbers of words defined on randomly selected pages from a dictionary are shown below. Find the mean, median, mode of the listed numbers. 30 31 64 59 57 33 54 77 56 41 What is the mean? Select the correct choice below and ,if necessary ,fill in the answer box within your choice.(around to one decimal place as needed)

Answers

Answer:

mean=502/10=50.2

median=(54+56)2=55

A train goes at a speed of 70km / h. If it remains constant at that speed, how many km will it travel in 60 minutes?

Answers

Answer:

Total distance travel by train =  70 km

Step-by-step explanation:

Given:

Speed of train = 70 km/h

Total time taken = 60 min = 60 / 60 = 1 hour

Find:

Total distance travel by train

Computation:

Distance = Speed × Time

Total distance travel by train = Speed of train × Total time taken

Total distance travel by train = 70 × 1

Total distance travel by train =  70 km

5(y–3.8)=4.7(y–4) help help

Answers

Answer:

y = 2/3 or 0.667

Step-by-step explanation:

5(y–3.8)=4.7(y–4)

Expand the terms in the bracket

That's

5y - 19 = 4.7y - 18.8

Group like terms

5y - 4.7y = 19 - 18.8

0.3y = 0.2

Divide both sides by 0.3

We have the final answer as

y = 2/3 or 0.667

Hope this helps you

If the mean difference gets larger and sample standard deviation stays the same, what happens to effect size?

Answers

Answer:

The effect size of the sample gets larger

Step-by-step explanation:

The effect size of the sample gets larger when the mean difference gets larger and the sample standard deviation stays the same. because the Cohen's effect size is proportional to mean difference  and this can be proven below using the Cohen's formula

Cohen's effect size  = Mean difference / standard deviation

form the question standard deviation is constant while the mean difference gets larger, hence the effect size will get larger as well

Apply the square root property of equality.

x + =

Answers

Answer:

Step-by-step explanation:

Answer:

+ 1/16 = +- 2/3

A spinner has five congruent sections, one each of blue, green, red, orange, and yellow. Yuri spins the spinner 10 times and records his results in the table. A 2-column table has 5 rows. The first column is labeled Color with entries blue, green, red, orange, yellow. The second column is labeled Number with entries 1, 2, 0, 4, 3. Which statements are true about Yuri’s experiment? Select three options. The theoretical probability of spinning any one of the five colors is 20%. The experimental probability of spinning blue is One-fifth. The theoretical probability of spinning green is equal to the experimental probability of spinning green. The experimental probability of spinning yellow is less than the theoretical probability of spinning yellow. If Yuri spins the spinner 600 more times and records results, the experimental probability of spinning orange will get closer to the theoretical probability of spinning orange.

Answers

Answer:

A. The theoretical probability of spinning any one of the five colors is 20%.

C. The theoretical probability of spinning green is equal to the experimental probability of spinning green.

E. If Yuri spins the spinner 600 more times and records results, the experimental probability of spinning orange will get closer to the theoretical probability of spinning orange.

These are the answers on edg 2020, just took the test.

Step-by-step explanation:

Answer:

a, c, e,

Step-by-step explanation:

:)

One winter day, the temperature ranged from a high of 20 degrees to a low of -25 degrees. By how many degrees did the temperature change?

Answers

Answer:

+20° to -25° = 45° C/F temperature change

Step-by-step explanation:

bag contains two red marbles, three green ones, one lavender one, two yellows, and two orange marbles. HINT [See Example 7.] How many possible sets of four marbles are there

Answers

Answer:

a lot,

Step-by-step explanation:

2*3*1*2*2/5

The number of possible sets of four marbles is 210.

What are permutation and combination?

When the order of the arrangements counts, a permutation is a numerical approach that establishes the total number of alternative arrangements in a collection.

The number of alternative configurations in a collection of things when the order of the selection is irrelevant is determined by combination.

Total number of marbles;

2 red marbles +  3 green ones + 1 lavender one + 2 yellows + 2 orange marbles.

⇒ 10

Selection is 4 out of 10

By combination,

10C₄ = (10×9×8×7)/(4×3×2)

10C₄ = 210

Hence "The number of possible sets of four marbles is 210".

For more about permutation and combination,

https://brainly.com/question/13387529

#SPJ2

Billy has x marbles. Write an expression for the number of marbles the following have… a) Charlie has 5 more than Billy b) Danny has 8 fewer than Billy c) Eric has three times as many as Billy

Answers

Answer:

Charlie: 5 + xDanny: x - 8Eric: x × 3

I will be honest I'm having a major brain fart.. What's the line called and what's it do again? it's separating numbers.. Looks like this
29
---
3

I know I'm stupid for this one... I've been up for 30 hours studying and now I can't remember this.. I need sleep but can't till i figure this out now...

Answers

Answer:

fraction bar. separates numerator and denominator in a fraction

Answer:

basically a dividing symbol, but specifically used for fractions

Step-by-step explanation:

A taste test asks people from Texas and California which pasta they prefer, brand A or brand B. The table shows the results. A person is randomly selected from those tested. What is the probability that the person is from Texas, given that the person prefers Brand B? PLEASE HELP! I'll name you Brainliest if you're answer is the best!

Answers

Answer:

A

Step-by-step explanation:

It would be A because there are 45 people in Texas that prefer brand B. There are 105 people in total that prefer brand B. 45/105 is .42857... so rounded it would be .43, therefore A. I hope this helps.

Answer:

A

Step-by-step explanation:

find the value of x in 81^x=1/3?​

Answers

Answer:

x = -1/4

Step-by-step explanation:

[tex]81^{x}[/tex] = 1/3

[tex]3^{4}^{x}[/tex] = [tex]3^{-1}[/tex]

4x = -1

x = -1/4

Answer:

x = - [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Using the rules of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , [tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

Given

[tex]81^{x}[/tex] = [tex]\frac{1}{3}[/tex] [ note that 81 = [tex]3^{4}[/tex] ] , then

[tex](3^4)^{x}[/tex] = [tex]3^{-1}[/tex] , that is

[tex]3^{4x}[/tex] = [tex]3^{-1}[/tex]

Since the bases on both sides are equal, both 3, then equate exponents

4x = - 1 ( divide both sides by 4 )

x = - [tex]\frac{1}{4}[/tex]

expanded notation 13.62

Answers

Answer:

thirteen point six two

In cooking class, Shivani measures a stick
of butter. It is 13 centimeters long, 3
centimeters wide, and 3 centimeters tall. What
is the volume of the stick of butter?​

Answers

Answer:

117 cm³

Step-by-step explanation:

To find the volume of a rectangular prism, we can simply multiply the length, width and height so the answer is 13 * 3 * 3 = 117 cm³.

Answer:

117 cubic centimeters

Step-by-step explanation:

Assuming that the stick of butter is a perfect rectangular prism, we can calculate the volume by simply multiplying the length, width, and the height as modeled by the volume equation:

V = LWH

For this, the L = 13cm, W = 3cm, and H = 3cm

So our volume in cubic centimeters will be:

V = LWH

V = (13cm) * (3cm) * (3cm)

V = (13cm) * (9cm^2)

V = 117 cm^3

So the volume of the stick of butter is 117 cubic centimeters.

Cheers.

Identify whether the sampling method is simple random, systematic, stratified, cluster, or convenience. Explain.

In a nationwide study of registered voters conducted by The New York Times, 390 people are randomly selected out of those registered as Republicans, 430 people are randomly selected out of those registered as Democrats, and 180 people are randomly selected out of those registered as Independents.

Answers

Answer: stratified

Step-by-step explanation:

In stratified sampling, you divide the population into subgroups, or strata, with similar characteristics, like here we have divided the population into subgroups that depend on their political alignment. This is used when you can expect that the results have a noticeable variation between the different subgroups. Usually, you want to have the same number of population for eac subgroup, but sometimes it is hard for different reasons (not enough people in one subgroup, for example)

In cluster sampling we also use subgroups, but the subgroup itself is the unit of the sampling, while in this case, we are randomly selecting individuals of the given subgroups.

So this would be a "stratified sampling".

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