Find X to solve to problem and find all the angles

Answer:

i. Mean = 11.2

ii. Variance = 14.17

iii. Standard deviation = 3.76

Step-by-step explanation:

i. Mean, m = [tex]\frac{sum of the values}{number of the values}[/tex]

                = [tex]\frac{4+11+12+12+13+15}{6}[/tex]

                = [tex]\frac{67}{6}[/tex]

                = 11.2

The mean of the given data is 11.2

ii. Variance = [tex]\frac{sum(x_{i} - m)^{2}}{n-1}[/tex]

where:   [tex]x_{i}[/tex] is the value of the one observation, m is the sample mean and n is the number of data given.

                   = [tex]\frac{[(4-11.2)^{2}+(11-11.2)^{2} + (12-11.2)^{2} + (12-11.2)^{2} + (13-11.2)^{2} + (15-11.2)^{2}] }{6-1}[/tex]

                   = [tex]\frac{[51.84+0.04+0.64+0.64+3.24+14.44]}{5}[/tex]

                   = [tex]\frac{70.84}{5}[/tex]

                   = 14.168

Variance = 14.17

iii. Standard deviation = [tex]\sqrt{Variance}[/tex]

                                     = [tex]\sqrt{14.17}[/tex]

                                     = 3.76

Answer:

y ≥ -1/2x + 1

Step-by-step explanation:

Not the 1st choice since it's going down

Not the 2nd choice since it's solid line

It's the 3rd choice

Answer:

y ≥ -1/2x + 1

Step-by-step explanation:

Hope this helps

Answer:

7

Step-by-step explanation:

each wand = 2 so you add the wands and multiply the wands by 2

then you divide the answer to the last calculation by 4

which is 28 divided by 4

which = 7

The mean of the data is 7.

The simplest and most popular way to measure a mean or average is the arithmetic mean. It simply entails adding up a collection of numbers, then dividing that total by the total number of numbers in the series.

Given:

Glenda = 2 x 2= 4 wands

Tink = 3 x 2= 6 wands

Merry = 4 x 2= 8 wands

Gracie = 5 x 2= 10 wands'

So, Arithmetic Mean = (Sum of wands) / (Total number of wands)

                                  = (4+ 6 +8 + 10)/4

                                  = 28/4

                                  = 7

Hence, the mean is 7.

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Answer:

third one and fifth

Step-by-step explanation:

Answer:

the error is they put out the answer

Step-by-step explanation:

Answer: [tex]1728\ in.^3[/tex]

Step-by-step explanation:

Given

The dimension of the rectangular base aquarium is [tex]24\ in.\times 8\ in.\times 10\ in.[/tex]

The gap between top and water level is [tex]1\ in.[/tex] i.e. water is filled up to a height of [tex]10-1=9\ in.[/tex]

Now, the dimensions of the water in the aquarium is [tex]24\ in.\times 8\ in.\times 9\ in.[/tex]

The volume of a rectangular base prism is [tex]l\times b\times h[/tex]

The volume of water in the aquarium is

[tex]\Rightarrow V=24\times 8\times 9=1728\ in.^3[/tex]

(2x - 7) + ( x + 4) = 90°

2x + x - 7 + 4 = 90°

3x - 3 = 90°

3x = 90 + 3

3x = 93

x = 93/3

x = 31°

▪2x - 7

= (2 . 31) - 7

= 62 - 7

= 55°

▪x + 4

= 31 + 4

= 35°

Answer:

Option A

Step-by-step explanation:

Equation of the graph → f(x) = eˣ

Range of the given function is (0, ∞).

If the graph of the given function is translated by 3 units up.

New function will be,

g(x) = eˣ + 3

And the range of the new function will be (3, ∞).

Option A will be the correct option.

The range of the new function will be (3, ∞).

What is the range of a function ?

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain

Equation of the graph → f(x) = eˣ

Range of the given function is (0, ∞).

If the graph of the given function is translated by 3 units up.

New function will be,

g(x) = eˣ + 3

And the range of the new function will be (3, ∞).

Therefore , Option A will be the correct answer.

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...It's A on Ap3x......

Answer:

Step-by-step explanation:

9 (10 - 3)

you use this to get rid of the number outside of the () in this case it'd be a 9

90 - 27

Answer:

y=3−x

(−2,0,3)

Answer:

Slope (m) =  18 /-17 =-1.0588235294118

Step-by-step explanation:

The initial vertical and horizontal velocity of the ball will be 18.9 feet per second and 7.2 feet per second, respectively. Then the correct option is C.

The quantity which has magnitude, and direction and follows the law of vector addition is called a vector.

George Washington tosses a baseball with an underlying speed of 20.2 feet each second at a point of 69° degrees with the even.

The initial vertical velocity of the ball is given as,

⇒ 20.2 x sin 69°

⇒ 20.2 x 0.9335

⇒ 18.9 feet per second

The initial horizontal velocity of the ball is given as,

⇒ 20.2 x cos 69°

⇒ 20.2 x 0.3583

⇒ 7.2 feet per second

The initial vertical and horizontal velocity of the ball will be 18.9 feet per second and 7.2 feet per second, respectively. Then the correct option is C.

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Answer:

Step-by-step explanation:

First find the rate of change or slope denoted as m

m=(y2-y1)(x2-x1) we can find the slope with any two points.

m=(35000-25000)/(600-200)

m=10000/400

m=25

Now that we know the slope we can find the y intercept or original cost

C(n)=25n+b, using any point we can solve for b, I’ll use (200, 25000)

25000=25(200)+b

25000=5000+b

b=20000 so now we know the complete equation.

C(n)=25n+20000

Answer C.

Answer:

x=125

Step-by-step explanation:

∠PAT=180° - ∠ATP - ∠APT

∠PAT=180 - 3x - 3 -4x -4= (173 - 7x)°

3x + 3 + 4x + 4 + 173-7x = 180  

⇔x = 125

Answer:

D??? sorry if im wrong

Step-by-step explanation:

Answer:

15 miles per gallon

Step-by-step explanation:

Divide miles travelled by gallons used, that is

90 ÷ 6 = 15 miles per gallon

The rate of the truck is 15 miles per gallon.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a truck travels 90 miles on 6 gallons of gas. The rate of truck will be calculated as:-

Divide miles travelled by gallons used, that is

Rate = 90 ÷ 6

Rate = 15 miles per gallon

Hence, the rateis 15 miles per gallon.

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Answer:

Step-by-step explanation:

m∠AOB = 72°

m∠A = 54°

Answer:

It is B i just took the instruction 0= -2(x - 2)^2 - 6

Step-by-step explanation:

The simplified expression is: -243v^5

hope this helps ;')

Answer:

1 < n < 8

Step-by-step explanation:

Answer:

You can go 19.33 miles for $20.00 if you give the driver a $2.00 tip.

Step-by-step explanation:

From the information provided, you can say that the total cost of the taxi is equal to the cost of the first mile plus the price for each additional mile for the number of additional miles, which can be expressed as:

c=1.50+0.90(x-1), where

c is the total cost

x is the number of miles

Now, if you want to determine how far you can go for $20 if you give the driver a $2.00 tip, first you have to subtract the tip from the amount you have:

20-2=18

Then, you know that you have $18 for the cost of the taxi and you can replace c with this value and solve for x to find the number of miles:

18=1.50+0.90(x-1)

18-1.50=0.90x-0.90

16.5+0.90=0.90x

17.4=0.90x

x=17.4/0.9

x=19.33

According to this, the answer is that you can go 19.33 miles for $20.00 if you give the driver a $2.00 tip.

Answer:

You can go 19.33 mile

Answer:

x=4

Step-by-step explanation:

y=2x+50

58=2x+50

8=2x

x=4

Answer:

105 degrees (x2) & 75 degrees

Step-by-step explanation:  

Consecutive Angle Formulas

Answer: father:45

Daughter:17

Step-by-step explanation:

Present

Father (X+28)yrs

Daughter X yrs

After 6 years father will be (X+28)+6= 3x

28+6=3x-x

34=2x

X=17yrs=daughter

Father=28+17=45yrs

the answer is 115

HOPE THIS HELPS

Answer:

-115

Step-by-step explanation:

Simplify  22+422+4  to  2626.

−14−(−3)−4×26

Simplify  4 times 264×26  to  104104.

−14−(−3)−104

Remove parentheses.

−14+3−104

Simplify  -14+3−14+3  to  -11−11.

−11−104

Simplify.

−115