A normal distribution has mean μ and standard deviation σ .An x-value is randomly selected from the distribution. Find P(μ−σ≤x≤μ+ 3σ)
P(μ−σ≤x≤μ+ 3σ)=

Answers

Answer 1

Answer:

The probability that a randomly selected  x-value lies between μ − 2σ and μ is the  shaded area under the normal curve shown.  P(μ − 2σ ≤ x ≤ μ) = 0.135 + 0.34 = 0.475

Step-by-step explanation:

Answer 2

Correct Answer is 0.8385

Empirical Rule:

The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. Under this rule, 68% of the data falls within one standard deviation, 95% within two standard deviations, and 99.7% within three standard deviations from the mean.

Here,

The 68-95-99.7 rule for the normal distribution says:

P(μ - σ ≤ x ≤ μ + σ) = 0.68

P(μ - 2σ ≤ x ≤ μ + 2σ) = 0.95

P(μ - 3σ ≤ x ≤ μ + 3σ) = 0.997

By taking the left half of the first interval and the right half of the last

interval, we have:

P(μ - σ ≤ x ≤ μ + 3σ) = 0.5*P(μ - σ ≤ x ≤ μ + σ) + 0.5*P(μ - 3σ ≤ x ≤ μ + 3σ) =

0.34 + 0.4985 = 0.8385

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Related Questions

is the square root of 9/16 a irrational number helpppppppppppppppppppppp

Answers

Answer:

No, it isn't. The answer is 0.75

Step-by-step explanation:

The square root of 9/16 is not a irrational number

How to determine the type of the number

From the question, we have the following parameters that can be used in our computation:

The square root of 9/16

When evaluated, we have

The square root of 9/16 = 3/4

The above number is represented by the quotient of 2 integers

using the above as a guide, we have the following:

We can conclude that the number is a rational number

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Pls help me graphing this, pleaseee 20 points!!

Answers

Answer:

Step-by-step explanation:  the first number goes two the side and the secend goes up

What is the domain? Please hurry

Answers

The domain is the input (x) value. Since the equation is not provided with any input limit the answer is negative infinity to infinity.

The answer is the last choice.

A monkey is swinging from a tree. On each swing, she travels along an arc that is
75%, percent as long as the previous swing's arc. The total length of the arcs from her first 4 swings is 175m.How long was the monkey's 1st swing?
Round your final answer to the nearest meter.

Answers

Answer:

Total length of the first swing=64 m

Step-by-step explanation:

The total length of all four swings can be expressed as; Total length of all 4 swings=Length of first swing+length of second swing+length of third swing+length of fourth swing

where;

Total length of all 4 swings=175 m

Length of first swing=x

Length of second swing=75% of length of first swing=(75/100)×x=0.75 x

Length of third swing=75% of length of second swing

Length of third swing=(75/100)×0.75 x=0.5625 x

Length of fourth swing=75% of length of third swing

Length of fourth swing=(75/100)×0.5625 x=0.421875 x

replacing;

Total length of all 4 swings

175=x+0.75 x+0.5625 x+0.421875 x

2.734375 x=175

x=175/2.734375

x=64

Total length of the first swing=x=64 m

Proofs!! can someone PLEASE HELP

Answers

Answer:

nope sorry

Step-by-step explanation:

idk

the peripherals are the same with the numerators acting the quotient

Fond the equation of the line shown

Answers

Answer:

y+-1/2x-1

Step-by-step explanation:

The line is negative

It rises one digit and runs 2

and it crosses though -1 on the y axis

Consider the following polynomial.
-2xys + 3x? - 10x°y6 + 8x + 4
Which of the following statements are true? Select all that apply.
-The polynomial has 5 terms.
-The leading coefficient is -2.
.
-The degree of the polynomial is 7.
-The constant term is 4.
-The polynomial is in decreasing degree order.

Answers

Answer:

Step-by-step explanation:

If you write correctly:

[tex]P = -2xys+3x? - 10xy^{6} +8x+4\\[/tex]

I do not know the "?" in the formule de P

-The polynomial has 5 terms.  Yes

-The leading coefficient is -2. No

.

-The degree of the polynomial is 7.  Yes

-The constant term is 4.  Yes

-The polynomial is in decreasing degree order. No

Help me find the MAD volume please
How many sundaes are there?

Answers

Answer:

2

Step-by-step explanation:

8+12+4+8 = 32

32/4 = 8

8-8 = 0

12-8 = 4

8-4 = 4

8-8 = 0

4+4+0+0 = 8

8/4 = 2

PLEASE ANSWER QUICKLY. I GIVE BRAINLIEST AND I FOLLOW YOU

Please show work
And I would be so nice if you could also check my most recent question

Answers

Answer:

I believe this would be the correct answer. It has been a while since I have done a problem like this.

Answer:

x=1 & y=7

Step-by-step explanation:

y=7x.......(i)

y=-2x+9........(ii)

Solve for (ii) by replacing the value of y in (ii) with the value of y from (i)

y=-2x+9

7x=-2x+9

Add 2x on both sides,

7x+2x=-2x+9+2x

9x=9

Divide by 9 on both sides,

9x/9=9/9

x=1

Now,

Replace the value of x in eq (i)

y=7x

y=7×1

y=7

Therefore,the values of x and y are 1 and 7 respectively.

Which ratio is not equivalent to the others?

Answers

Answer:

4:7

Step-by-step explanation:

3:5=6:10/2=3:5

9:15=9:15/3=3:5

Answer:

number 13. is d

Step-by-step explanation:

When there is no outlier is thebetter measure of center for a set of data


Median
Mode
Range
None of the above

Answers

Answer:

Median

Explanation:

The median is the middle number. This answer fits best with the question asked.

The mode is the number that occurs the most. This number doesn't really have a correlation to the middle of this data.

The range is just how many numbers the data spans across. It has no relation to the middle of the data.

im pretty sure its median :)

(x+2)(x-3)(x+5) is identical to x^(3)+ax^(2)-11x+b
Find the value of a and the value of b

Answers

Answer:

a = 4 and b = - 30

Step-by-step explanation:

Expand the left side and compare like terms on both sides, that is

(x + 2)(x - 3)(x + 5) ← expand the first pair of factors using FOIL

= (x² - x - 6)(x + 5) ← distribute

= x³ + 5x² - x² - 5x - 6x - 30 ← collect like terms

= x³ + 4x² - 11x - 30

Compare like terms with x³ +ax² - 11x + b

4x² and ax² ⇒ a = 4

+ b and - 30 ⇒ b = - 30

The requried simplified values of a and b are given as 4 and -30 respectively.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
(x+2)(x-3)(x+5) = x³+ax²-11x+b
(x + 2)[x² +2x -15 ] = x³+ax²-11x+b
x³ +4x² -11x - 30 = x³+ax²-11x+b

Comparing both sides,
a = 4 and b = -30

Thus, the requried simplified value of a and b are given as 4 and -30 respectively.

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Which of the points (s, t) is inside the shaded region of the set of inequalities shown below?

s<24 - 0.66t
s>12 - t
s< 30 - t
s>0
t>0

O A. (1,8)
O B. (-9,21)
O C. (9,4)
O D. (30, 10)​

Answers

Answer:

Only point C. (9,4)

Step-by-step explanation:

To check if the points are inside the region of the inequalities, we just need to use the values of the point in each inequation, and if the point satisfy all inequations, the point is inside the region.

point A = (1,8): s = 1 and t = 8

first inequation: s<24 - 0.66t

1 < 24 - 0.66*8

1 < 18.72 (true)

second inequation: s>12 - t

1 > 12 - 8

1 > 4 (false)

So point A is not inside the region.

point B = (-9,21): s = -9 and t = 21

As we can see from the fourth inequation, the s value needs to be greater than 0, and point B has s negative, so point B is not inside the region.

point C = (9,4): s = 9 and t = 4

first inequation: s<24 - 0.66t

9 < 24 - 0.66*4

9 < 21.36 (true)

second inequation: s>12 - t

9 > 12 - 4

9 > 8 (true)

third inequation: s< 30 - t

9 < 30 - 4

9 < 26 (true)

fourth inequation: s>0

9 > 0 (true)

fifth inequation: t>0

4 > 0 (true)

As all conditions are true, point C is inside the region.

point D = (30,10): s = 30 and t = 10

first inequation: s<24 - 0.66t

30 < 24 - 0.66*10

30 < 17.4 (false)

So point D is not inside the region.

Answer:9,4

Step-by-step explanation:

help help!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The first option, the mayor will lose by a large percentage.

Step-by-step explanation:

If you look at the numbers, You can see that the two best answers which are excellent and satisfactory are low, and in total equal 28.

Being compared to the lower ratings which are needs improvement and unsatisfactory are high, and in total equal 52.

Seeing this, this shows that the mayor will lose the election the with more than half of the people voting for someone else.

All the other options excluding the first one, say that he will win by a close call, a big percent, or a close call again.

which just leaves the first option saying that he will lose by large percent, which is true.

There were 23 students running in a race. How many different arrangements of first, second, and third place are possible?

Answers

Answer:

10626 different arrangements

Step-by-step explanation:

As we have a total of 23 students and we want to form groups of 3, where the order of the 3 students matters, we can solve this problem using a permutation of 23 choose 3.

The formula for a permutation of n choose p is:

P(n,p) = n! / (n-p)!

So, using n = 23 and p = 3, we have:

P(23,3) = 23! / (23-3)! = 23! / 20! = 23 * 22 * 21 = 10626

So we have a total of 10626 different arrangements of first, second and third place.

Ms. Sanders put $5,200 in a savings account that pays 4.2% simple interest. Each year she withdraws the interest and treats herself to a visit to a spa. How much can she spend each year?

Answers

Answer:

$218.40

Step-by-step explanation:

i=prt

i=(5200)(.042)(1)

Which property is illustrated by the
equation below?
7 + (-7) = 0
A. Additive Inverse Property
B. Distributive Property
C. Associative Property of Addition
D. Additive Identity Property

Answers

Answer:

additive inverse

Step-by-step explanation:

-7 is the inverse of 7 so adding it would cancel it out making it 0


Martha used 2/3
tablespoons of pepper to make 1/6
liters of gravy. If Martha's recipe is for 1 liter of gravy, how much pepper will she need to make double the recipe?
A) 2 tablespoons of pepper
B) 4 tablespoons of pepper
C) 8 tablespoons of pepper
D) 12 tablespoons of pepper
plz helppp

Answers

Answer:

8 tablespoons of pepper

Step-by-step explanation:

Therefore, double the recipe: 4 × 2 = 8 tablespoons of pepper

What is the volume of a cube that has a height of 10 inches

Answers

Answer:

1000 inches

Step-by-step explanation:

V= a3=103=1000in³

Answer:1,000in3

Step-by-step explanation:

V=LxWxH

V=10x10x10

V= 1,000

HELP will mark brainliest

Answers

Answer:

x=55 degrees

Step-by-step explanation:

Angle X + 125 degrees is 180 degrees. 180 minus 125 is 55.

help plz question is in the photo

Answers

Answer:

A. Trinomial

Step-by-step explanation:

It says it's a polynomial and that based on the number of terms. So right then you can cancel out cubic and quadratic because they aren't polynomials. Also:

Cubic is just a variable with the exponent of 3. Examples:

[tex]x^3,y^3,z^3[/tex]

Binomial is a polynomial with 2 terms. Examples:

[tex]5x+3; 6x+2; x+7[/tex]

A quadratic has a division sign.

Name the first 10 perfect squares. Why are they perfect squares?"​

Answers

Answer:

why a math problem

Step-by-step explanation:

math is hard

Find the volume of a pyramid with a square base, where the area of the base is 19.6\text{ cm}^219.6 cm 2 and the height of the pyramid is 12.7\text{ cm}12.7 cm. Round your answer to the nearest tenth of a cubic centimeter.

Answers

Answer:

V = 83.0 cm^3

Step-by-step explanation:

To find the volume of the squared pyramid you use the following formula:

[tex]V=\frac{1}{3}Bh[/tex]   ( 1 )

B: base of the pyramid = 19.6 cm^2

h: height of the pyramid = 12.7 cm

you replace the values of B and h in the equation ( 1 ):

[tex]V=\frac{1}{3}Bh=\frac{1}{3}(19.6cm^2)(12.7cm)\\\\V=82.97cm^3\approx 83.0cm^3[/tex]

hence, the volume of the pyramid is 83.0 cm^3

A triangle has a base of x 1/2 m and a height of x 3/4 m. if the area of the triangle is 16 m^2, what are the base and the height of the triangle

Answers

Answer:

base = 6.4m

height = 5m

Step-by-step explanation:

Given area = 16m^2

3/4 -1/2 = 1/4  into something x 0.25 its size then add

We see that 2.5 is 10 multiplied. not relevant unless doing algebra

We also see that 0.5 is 0.25 x 2  not relevant unless doing algebra

We start with 5

16/5 = 3.2

if 5 is the height then 3.2 x 2 must be the base.

As we half base to find area so we change this value and reverse the area 1/2 above. 3.2 x 2 = 6.4m base.  and 5m height stays as it is.

If we did algebra

Then 1/2 = 0.5  = 4.5  

3/4 = 0.75 = 3.75

and we would have to plug in 1 as x

3 as x to find one value as 5.5 (-1) = 4.5

We find 3.75 as 5 (-1 )- 1/4 = 3.75

3.75 x 4.5 = 16.875m^2

and is closest fit using 1/4, 1/2 and -1.

But 3.2 x 5 is a better multiplication as 3 1/5 and finds 16 exact.

add or subtract (7x^2-x-2)-(-6x^3+3)

Answers

Answer:

[tex] \tt{}6x ^{3} + {7x}^{2} - x - 5[/tex]

Step-by-step explanation:

[tex] \tt{}(7 {x}^{2} - x - 2) - ( - 6 {x}^{3} + 3)[/tex]

[tex] \tt{}7 {x}^{2} - x - 2 + 6x^{3} - 3[/tex]

[tex] \tt{} {7x}^{2} - x - 5 + 6x ^{3} [/tex]

[tex] \tt{}6x ^{3} + {7x}^{2} - x - 5[/tex]

Answer:

[tex]6 {x}^{3} + 7 {x}^{2} - x - 5[/tex]

Step-by-step explanation:

[tex](7 {x}^{2} - x - 2) - ( - 6 {x}^{3} + 3)[/tex]

➡️ [tex]7 {x}^{2} - 2 - ( - {6}^{3} + 3)[/tex]

➡️ [tex]7 {x}^{2} - x - 2 + 6 {x}^{3} - 3[/tex]

-2 - 3-(2 + 3)-5

➡️ [tex]7 {x}^{2} - x - 5 + 6 {x}^{3} [/tex]

➡️ [tex]6 {x}^{3} + 7 {x}^{2} - x - 5[/tex] ✅

Can someone help with this

Answers

Answer:

the answered is -3 like in the picture

Step-by-step explanation:

Answer this there is a pic

Answers

Answer:

A

Step-by-step explanation:

1:2.5 because 2/2=1 and 5/2=2.5

Help please will give brainly! Clara’s friend Brian decides to find his median as well. Find the median and type it in the answer box. What does the median show us?

Answers

Answer:

The median is 88. The median shows that Brian gets on average 88% on his tests.

Step-by-step explanation:

If you put the numbers in order and get the average of the two middle number, it is 88.

the question is on the image

Answers

Answer:

1/6

Step-by-step explanation:

The slope of a line in y=mx+b form is always the number before the x value.

Hope this helps!

How much interest would a bond (1,000 shares) of RMx pay each year?
Bond Cur Yield Vol Close Net Chg
MBIA 7 25 8.3 8 87 +1
SDGE 4 40 4.8 75 93.875 -2
UPS 8 20 6.2 10 134.875 +3
RMx 14 13 13.2 5 106 -3
Travelport 11 16 12.4 945 95.50 +1
JCPenney 7 97 8.1 100 94.50 -2
DeerParkISD 4 29 4.4 25 104.86 -1

A. $132
B. $14.00
C. $106
D. $13.20
E. $140

Answers

Answer:

a and e

Step-by-step explanation:

B and E for sure 6+g
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