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vodomira [7]
4 years ago
5

Suppose a normal distribution has a mean of 26 and a standard deviation of 4. What is the probability that a data value is betwe

en 28 and 31? Round your answer to the nearest tenth of a percent?
Mathematics
1 answer:
lions [1.4K]4 years ago
7 0

Answer:

20.3%

Step-by-step explanation:

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What is 7.42 as a fraction in simplest form?
inn [45]
7.42 as a fraction is 7420/1000. Now you need to simplify it. The easiest way to do this is to continuously divide the top and bottom by 2 as long as it is even. At this point it should be small enough to figure out the other factors, and finish simplifying it. This only simplifies to 371/50. While 371 is divisible by 7 and 53, 50 is not divisible by either of them, so the final solution is 371/30

Therefore 371/50 is 7.42 as a fraction. 
8 0
4 years ago
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Show that if X is a geometric random variable with parameter p, then
Lubov Fominskaja [6]

Answer:

\sum_{k=1}^{\infty} \frac{p(1-p)^{k-1}}{k}=-\frac{p ln p}{1-p}

Step-by-step explanation:

The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"

P(X=x)=(1-p)^{x-1} p

Let X the random variable that measures the number os trials until the first success, we know that X follows this distribution:

X\sim Geo (1-p)

In order to find the expected value E(1/X) we need to find this sum:

E(X)=\sum_{k=1}^{\infty} \frac{p(1-p)^{k-1}}{k}

Lets consider the following series:

\sum_{k=1}^{\infty} b^{k-1}

And let's assume that this series is a power series with b a number between (0,1). If we apply integration of this series we have this:

\int_{0}^b \sum_{k=1}^{\infty} r^{k-1}=\sum_{k=1}^{\infty} \int_{0}^b r^{k-1} dt=\sum_{k=1}^{\infty} \frac{b^k}{k}   (a)

On the last step we assume that 0\leq r\leq b and \sum_{k=1}^{\infty} r^{k-1}=\frac{1}{1-r}, then the integral on the left part of equation (a) would be 1. And we have:

\int_{0}^b \frac{1}{1-r}dr=-ln(1-b)

And for the next step we have:

\sum_{k=1}^{\infty} \frac{b^{k-1}}{k}=\frac{1}{b}\sum_{k=1}^{\infty}\frac{b^k}{k}=-\frac{ln(1-b)}{b}

And with this we have the requiered proof.

And since b=1-p we have that:

\sum_{k=1}^{\infty} \frac{p(1-p)^{k-1}}{k}=-\frac{p ln p}{1-p}

4 0
4 years ago
Solve for the value of r. (8r+6)° (9r-7)​
lukranit [14]

Answer:

r = 13

Step-by-step explanation:

these angles are vertical and are congruent

8r + 6 = 9r - 7

6 = r - 7

13 = r

8 0
3 years ago
Mac earns 4927 bimonthly. how much does he earn per year
NISA [10]
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I think you need to do 2927x24

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3 years ago
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It takes 55 pounds of seed to completely plant a 10-acre field. How many acres can be planted per pound of seed?
sineoko [7]

prime1

/prīm/

Learn to pronounce

See definitions in:

All

Mathematics

Religion

Printing

Fencing

Weapons

Building

Mechanics

Motoring

Biochemistry

adjective

1.

of first importance; main.

"her prime concern is the well-being of the patient"

Similar:

main

chief

key

primary

central

principal

foremost

first

most important

paramount

major

dominant

supreme

overriding

cardinal

preeminent

ultimate

number-one

fundamental

basic

essential

elemental

vital

Opposite:

secondary

subordinate

2.

of the best possible quality; excellent.

"prime cuts of meat"

Similar:

top-quality

highest quality

top

top-tier

best

first-class

first-rate

high-grade

grade A

superior

supreme

flawless

choice

select

finest

superlative

peak

optimal

model

excellent

marvelous

magnificent

superb

fine

wonderful

exceptional

formidable

top of the range

top of the line

tip-top

A1

stellar

top-notch

Opposite:

inferior

noun

1.

a state or time of greatest strength, vigor, or success in a person's life.

"you're in the prime of life"

Similar:

heyday

best days/years

day

time

prime of one's life

maturity

youth

springtime

salad days

bloom

flowering

full flowering

perfection

peak

pinnacle

height

high point/spot

zenith

ascendancy

2.

CHRISTIAN CHURCH

a service forming part of the Divine Office, traditionally said (or chanted) at the first hour of the day (i.e., 6 a.m.), but now little used.prime1

/prīm/

Learn to pronounce

See definitions in:

All

Mathematics

Religion

Printing

Fencing

Weapons

Building

Mechanics

Motoring

Biochemistry

adjective

1.

of first importance; main.

"her prime concern is the well-being of the patient"

Similar:

main

chief

key

primary

central

principal

foremost

first

most important

paramount

major

dominant

supreme

overriding

cardinal

preeminent

ultimate

number-one

fundamental

basic

essential

elemental

vital

Opposite:

secondary

subordinate

2.

of the best possible quality; excellent.

"prime cuts of meat"

Similar:

top-quality

highest quality

top

top-tier

best

first-class

first-rate

high-grade

grade A

CHRISTIAN CHURCH

a service forming part of the Divine Office, traditionally said (or chanted) at the first hour of the day (i.e., 6 a.m.), but now little used.

8 0
3 years ago
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