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)=

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]

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

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

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.

Answer:

the answered is -3 like in the picture

Step-by-step explanation:

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.

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.

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

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

Read more about rational number at

https://brainly.com/question/22221295

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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!

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.

Answer:

$218.40

Step-by-step explanation:

i=prt

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

Answer:

x=55 degrees

Step-by-step explanation:

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

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.

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.

Learn more about simplification here:

https://brainly.com/question/12501526

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Answer:

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

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.

Answer:

additive inverse

Step-by-step explanation:

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

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

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

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.

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.

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:

Answer:

A

Step-by-step explanation:

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

Answer:

8 tablespoons of pepper

Step-by-step explanation:

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

Answer:

a and e

Step-by-step explanation:

Answer:

nope sorry

Step-by-step explanation:

idk

the peripherals are the same with the numerators acting the quotient

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

Answer:

why a math problem

Step-by-step explanation:

math is hard

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:

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

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

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

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.