Explain in words please.

In a normal distribution of data, 68% of the data fall within one standard deviations of the mean.

Normally distributed data is the distribution of probability which is symmetric about the mean.

According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.

[tex]P(\mu - \sigma < X < \mu + \sigma) = 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) = 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) = 99.7\%[/tex]

Here the mean of distribution of X is [tex]\mu[/tex]  and standard deviation from mean of distribution of X is [tex]\sigma[/tex].

Thus, in a normal distribution of data, 68% of the data fall within one standard deviations of the mean.

Learn more about the normally distributed data here;

https://brainly.com/question/6587992

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Answer:

98% probability that at least one of Harold and Maude will make it to the cruise

Step-by-step explanation:

Independent probabilities:

When two events are independent, the probability of the two events happening simultaneously is the multiplication of each probability.

Probability that none makes it to the cruise:

Harold's flight has an 80% chance of making it, so 100 - 80 = 20% probability of missing.

Maude's flight has a 90% chance of making it on time, so 100 - 90 = 10% probability of missing.

Both missing: 0.2*0.1 = 0.02.

2% probability of both missing.

Probability that at least one makes it to the cruise:

Either both miss, or at least one makes it. The sum of the probabilities of these events is 100%. So

2 + p = 100

p = 98%

98% probability that at least one of Harold and Maude will make it to the cruise

Answer:

n = 7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Question: 15n+24-4(n-3)+6-2n=105

Answer:  3 • (3n + 14)

Explanation:

STEP 1: Restate

Equation at the end of step 1

 (15n + 24) -  4 • (n - 3)) +  6) -  2n

STEP 2: Pulling out like terms

STEP 3: Pull out like factors :

9n + 42  =   3 • (3n + 14)

Final result :

 3 • (3n + 14)

Hope this helps~

Answer:

The answer is B.) p(x)=x(x−2)(2x−7)

Step-by-step explanation:

Khan academy

Answer:

mZA=50

mZB=28

mZC=90

value of x is 28 how i got it was 32-4.

Answer:

5.2 would be the answer

Step-by-step explanation:

$2.00x-($.10x)=3+x

the x would stand for cups and since you already get 3 more cups in a day than before then you would put 3+x_how many cups you sell. the $2.00 is for how much money each up is. and the -$.10 is subtracting 10 cents for each cup you sell.

I dont know if this is correct but this is how I would make my equation

Answer:

x = 3

Step-by-step explanation:

The 2nd polygon is 1.5 times larger.

12 x 1.5 = 18

18-6 = 12

12/4 = 3

x = 3

Answer:

Please find attached pdf

Step-by-step explanation:

Step-by-step explanation:

P=(-3,-4)=(X1,Y1)

Q=(6,-7)=(X2,Y2)

Pq=root under( x2-x1)^2+(y2-y1)^2

= root under {6-(-3)}^2+{-7-(-4)}^2

= {6+3}^2+{-7+4}^2

= 9^2+(-3)^2

= 81+9

= 90

= 3root under10 unit.#

Answer:

28 inches

Step-by-step explanation:

the answer is 28 inches

12+16= 28

Number of snow snowed in January = 12 inches

Number of snow snowed this week = 16 inches

Number of snow snowed at all = 12+16

= 28 inches

hence it snowed 28 inches at all

Answer:

Put B on the one side, then the numbers go on the other side

Answer:

6/12 is equal to 3/6 ( 6 twelfths is equal to 3 sixths )

Step-by-step explanation:  

multiply both sides of 3/6 by 2 to get the same denominator, doing that will get you 6/12

Answer:

6 copies

Step-by-step explanation:

Step 1:  Convert 1 twelfth to an expression

1 twelfth is the same thing as 1/12

Step 2:  Convert 3 sixths to an expression

3 sixths is the same thing as 3/6

Step 3:  Get common denominators

The lowest common denominator between 1/12 and 3/6 is 12

[tex]\frac{1}{12}[/tex] → [tex]\frac{(1 * 1)}{(12 * 1)}[/tex] → [tex]\frac{1}{12}[/tex]

[tex]\frac{3}{6}[/tex] → [tex]\frac{(3 * 2)}{(6*2)}[/tex] → [tex]\frac{6}{12}[/tex]

Step 4:  Find the amount of 1/12 there are in 6/12

In order to find out the copies, we need to add 1/12 x amount of times to get 6/12.  We find that x is going to be 6.  Therefore, there 6 copies.

[tex]\frac{1}{12}+\frac{1}{12}+\frac{1}{12}+\frac{1}{12}+\frac{1}{12}+\frac{1}{12} = \frac{6}{12}[/tex]

Answer:  6 copies

Answer:

Area

Step-by-step explanation:

because

Number one is straight angle

number two is obtuse

number three is acute

Number 4 is acute

number 5 is a right angle

number 6 is obtuse

number 7 is right angle

number 8 is obtuse

Answer:

D and B and E

Answer:67.5

Step-by-step explanation:The question asked the HEIGHT. So multiply the scale factor (2.5) and the inches tall (27).

Answer:

Exact Form:

−64/5

Decimal Form:

−12.8

Mixed Number Form:

−12 4/5

Step-by-step explanation:

bc I used a calculator

Answer:

$30

Step-by-step explanation:

5+16=21+9=30

Answer:

u are math

Step-by-step explanation:

Answer:

5 3/4

Step-by-step explanation:

the 3/4 is a fraction

Have a nice day:)

Answer:

5 3/4

Step-by-step explanation:

2 + 2/3 + 3 + 1/12

2+3= 5

2/3 + 1/12 <<-- Find the LCD

8/12 + 1/12 = 9/12 <-- Reduce the fraction

9/12 = 3/4

5 + 3/4 = 5 3/4

Answer:

See below.

(I only answered the first one b/c the second log function doesn't really make sense, sorry!)

Step-by-step explanation:

1. f(x) = 5 × [tex]3^{x}[/tex]

Plug in 5 points.

x = -2, f(x) = [tex]\frac{5}{9}[/tex]

x = -1, f(x) = [tex]\frac{5}{3}[/tex]

x = 0, f(x) = 5

x = 1, f(x) = 15

x = 2, f(x) = 45

2. Attached below.

3. Increasing

4. Domain: x = all real numbers

Range: f(x) > 0 (because the line never goes below the x-axis)

Answer:

x= -45

Step-by-step explanation:

x/9=-5

multiply each side by 9

x=-45

Answer:x=−45

Step-by-step explanation:

Answer:

the probability that the sample mean is greater than 2.1 but less than 2.4 is 0.2444

Step-by-step explanation:

Given the data in the question;

x        f(x)         xp(x)               x²p(x)

1         1/3        0.33333        0.33333

2        1/3        0.66667        1.33333

3        1/3        1.00000        3.0000

∑                    2.0000          4.6667

∑(xp(x)) = 2

∑(x²p(x)) = 4.6667

Variance σ² = ∑(x²) - ∑(x)² = 4.6667 - (2)² = 4.6667 - 4 = 0.6667

standard deviation σ = √variance = √0.6667 = 0.8165

Now since, n = 33 which is greater than 30, we can use normal approximation

for normal distribution z score ( x-μ)/σ

mean μ = 2

standard deviation = 0.817

sample size n = 33

standard of error σₓ = σ/√n = 0.817/√33 = 0.1422

so probability will be;

p( 2.1  < X < 2.4 ) = p(( 2.1-2)/0.1422) <  x"-μ/σₓ  <  p(( 2.4-2)/0.1422)

= 0.70 < Z < 2.81    

=  1 - ( 0.703 < Z < 2.812 )

FROM Z-SC0RE TABLE

=  1 - ( 0.25804 + 0.49752 )

= 1 - 0.75556

p( 2.1  < X < 2.4 ) = 0.2444

Therefore,  the probability that the sample mean is greater than 2.1 but less than 2.4 is 0.2444

The mixture that is an equivalent ratio is:

1.5 white 2 blue is the answer to the question

Here are two paint mixtures: • 3 cups of white and 4 cups of blue. • 6 cups of white and 8 cups of blue. Both mixtures make the same color because they are in equivalent ratios. Which of these mixtures is also in an equivalent ratio? 5 cups white 6 blue 1 white 1 1/2 blue 4 white 3 blue 1.5 white 2 blue.

Answer:

5/6

Step-by-step explanation:

Answer:

Thursday to Friday

Step-by-step explanation:

as its the greatest in size and the biggest

Hope it helps XD

Answer: 37 and 22

Step-by-step explanation:

x + y = 59

x = 15 + y (substitute x as 15 + y into the first equation)

15 + y + y = 59

2y + 15 = 59

2y = 44

y = 22

substitute y as 22 into one of the equations

x = 15 + 22

x = 37