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Complete question :

Different dealers may sell the same car for different prices. The sale prices for a particular car are normally distributed with a mean and standard deviation of 26 thousand dollars and 2 thousand dollars, respectively. Suppose we select one of these cars at random. Let X represent the sale price (in thousands of dollars) for the selected car.1. Find P(26< X<30) You may round your answer to two decimal places

Answer:

0.48

Step-by-step explanation:

Mean, m = 26000 ; Standard deviation, s = 2000

P(x < x)

Zscore = (x - m) / s

P(26< X<30) ;

P[(26 - 26 / 2) < (30 - 26) / 2)]

P[(0 < Z < 2)]

P(Z < 2) - P(Z <0)

Using a z table of z calculator, we can obtain the probabilties of the Z value :

0.97725 - 0.5

= 0.47725

= 0.48 ( 2 decimal places)

Answer:

Step-by-step explanation:

Where are the equations to choose from?

14 pounds × (1 bag)/(¼ pound) = 56 bags

Answer:

y=-2/5x-3

Step-by-step explanation:

the slope is m and the y intercept is b

Answer:

For quadratic equations that cannot be solved by factorising, we use a method which can solve ALL quadratic equations called completing the square. We use this later when studying circles in plane analytic geometry.

Completing the square comes from considering the special formulas that we met in Square of a sum and square of a difference earlier:

(x + y)2 = x2 + 2xy + y2 (Square of a sum)

(x − y)2 = x2 − 2xy + y2 (Square of a difference)

To find the roots of a quadratic equation in the form:

\displaystyle{a}{x}^{2}+{b}{x}+{c}={0}ax

2

+bx+c=0,

follow these steps:

(i) If a does not equal \displaystyle{1}1, divide each side by a (so that the coefficient of the x2 is \displaystyle{1}1).

(ii) Rewrite the equation with the constant term on the right side.

(iii) Complete the square by adding the square of one-half of the coefficient of x to both sides.

(iv) Write the left side as a square and simplify the right side.

(v) Equate and solve.

Example 1

Find the roots of x2 + 10x − 4 = 0 using completing the square method.

Answer

Example 2

Solve 4x2 + x = 3 by completing the square.

Answer

Exercises

Solve the following quadratic equations by completing the square

Q1. \displaystyle{2}{s}^{2}+{5}{s}={3}2s

2

+5s=3Answer

Q2. \displaystyle{3}{x}^{2}={3}-{4}{x}3x

2

=3−4xAnswer

Q3. \displaystyle{9}{v}^{2}-{6}{v}-{2}={0}9v

2

−6v−2=0Answer

Q4. \displaystyle{a}{x}^{2}+{b}{x}+{c}={0}ax

2

+bx+c=0Answer

1. Solving Quadratic Equations by Factoring

3. The Quadratic Formula

Answer:

2.5 years

Step-by-step explanation:

Given data

P=9000

r= 1.25%

A= 9281.25

The simple interest expression is given as

A=P(1+rt)

substitute

9281.25= 9000(1+0.0125*t)

9281.25=9000+112.5t

collect like terms

9281.25-9000=112.5t

281.25= 112.5t

t= 281.25/112.5

t= 2.5

Hence the time is 2.5 years

Answer:

5

4

1

2

8

,.,.,.,.,.,.,.,

25% is 50% of 50.

Explaination is on the picture.

50% of 100 is 50.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

Let x be a number such that

50% of x is 50

This forms an equation in one variable which can be solved by transposition.

[tex]50/100\times x = 50[/tex]

x/2=50

On multiplying 2 both sides,

[tex]X/2\times 2 =50\times 2[/tex]

X=100

Thus, 50% of 100 is 50.

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Correct question:

50% of what is 50.

The domain is the set of input values for which the function is real and defined.

Find non negative values for the radicals.

For y = sqrt(3-x) if x is greater than the 3 the value under the square root would be negative which would result in a non real number.

The answer needs to be x <= 3 ( less than or equal to)

For y = sqrt(3x), if x is less than 0, the number under the sqrt root would be negative resulting in a non real number.

The answer is x >= 0 ( greater than or equal to)

Answer:

872

Step-by-step explanation:

89+90+79+92+80+94+86+91+82+89

Answer:

ƒ(g(x)) = 18x - 8

Step-by-step explanation:

We're looking for the composition of f and g, in which function g is the input to function f.  Literally replace "x: in f(x) with g(x) = 6x - 5:

ƒ(g(x)) = 3(6x - 5) + 7, or, after simplification,

ƒ(g(x)) = 18x - 15 + 7, or 18x - 8

I believe that you would need to sell 65 shirts

Answer: 13 m

Step-by-step explanation:

distance from starting point = root{(5)^2 + (12)^2 }

=root{ 25 + 144}

= 13

Answer:

Step-by-step explanation:

Between south direction and east direction we have right angle, so we can use Pythagorean theorem:

a² + b² = c²

a = 5 m

b = 12 m

c = the distance

[tex]5^2+12^2=c^2\\\\c^2=25+144\\\\c^2=169\\\\c=\sqrt{169}=13\,m[/tex]

Answer:

A

Step-by-step explanation:

I took the same khan Academy Quiz

The graph which best represents graph A thus option (A) is correct.

A graph is a diametrical representation of any function between the dependent and independent variables.

The graph is easy to understand the behavior of the graph.

As per the given data and graphs.

A good scatter plot will be having a reasonable scale on the x and y-axis.

In the graph, The average pain level is in the range of 2 intervals and dosage in 50 intervals as the data also have close to this range.

Thus, graph A represents the best scatter plot.

Hence "The graph which best represents graph A".

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The missing graphs are attached below,

Answer:

y = -2x + 7 is the equation if that's what you are asking for.

answer:

Linear equation :

y= -2x +7

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

∡AB + ∡BC + ∡CD = 180°

∡CD = ∡AE

∡AB + ∡BC + ∡AE = 180°

(8x + 6)° + (6x + 2)° + (7x + 4)° = 180°

8x + 6 + 6x + 2 + 7x + 4 = 180

21x + 12 = 180

21x = 180 - 12

21x = 168

x = 8

Answer:

36feet

Step-by-step explanation:

Since we are not asked what to find, we can as well find the maximum height reached by the rocket

At max height, velocity is zero

V = dy/dx = 0

dy/dx = -32x + 16

0 = -32x+16

32x = 16

x = 16/32

x = 0.5s

Get the maximum height

y = -16(0.5)^2+16(0.5) + 32

y = -4+8+32

y = 36feet

Hence the max height reached by the rocket is 36feet

Answer:

9

Step-by-step explanation:

8-5=3 12-3=9 you subtract 5 and 8 and you get 3 and then you subtract 12 and 3 and you get 9 your answer is 9

Answer: $7.50

Step-by-step explanation: cause it is

Answer:

Step-by-step explanation:

80/16x5=25

Step-by-step explanation:

angle 2 = 49

angle 1 = 131

angle 3 = 112

plz mark my answer as brainlist.hope this will be helpful to you ☺️.

Answer: 1 have 210   chocolate covered caramels

Step-by-step explanation:

step 1

The  ratio  of chocolate covered caramels to chocolate covered cherries in my vault is 5 to 2 which can also be written as 5:2

But the number of chocolate covered cherries =84

Total ratio is given as 5+2 = 7

Step 2

such that the total number of chocolate i had  would be gotten from

Ratio of chocolate covered cherries/ total ratio x Total chocolates = Number of chocolate covered cherries. Let X = Total number of chocolates

2/7 x X = 84

x= 84 x 7 / 2 =294

Therefore The number of chocolate covered caramels= ratio of chocolate covered caramels/ total ratio x Total chocolates =

5/7 X 294= 210

Answer:

Move 1 to the left side of the equation by subtracting it from both sides. Subtract 1 from 43.

9514 1404 393

Answer:

  about 254.40

Step-by-step explanation:

Put the value where x is and do the arithmetic. (Any scientific or graphing calculator can do this for you.)

  f(6) = 325(0.96^6) ≈ 254.40

Answer:

6.087

Step-by-step explanation:

0.000

^ones

   ^tenths

      ^hundredths

        ^thousandths

Answer:

depends how u want ur answer... :|

6.087

6 and 870

Hope that helps! :)

Step-by-step explanation:

Answer:

x^2-3x+36

Step-by-step explanation:

Answer:

The volume of the cylinder  V =  942 cm³      

Step-by-step explanation:

Step(i):-

Given that the graph

The height of the cylinder (h) = 12cm

The diameter of the cylinder d = 10cm

The radius of the cylinder

                              d = 2r

                             r = [tex]\frac{10}{2}[/tex]

                             r = 5 cm

Step(ii):-

The Volume of the cylinder

     V = π r² h

     V = π (5)²(12)

     V = 300π cubic centimeter

     V = 300 × 3.14

    V = 942 cm³

Final answer:-

Volume of the cylinder  V =  942 cm³

Step-by-step explanation:

A triangle's angles add up to be 180 degrees, so you can create an equation to be 180= 130+5x. (the 5x is 2x + 3x)

subtract 130 from both sides and get 50=5x, divide both sides by 5, x is equal to 10.

I'm not sure which angle is angle a, but if you substitute x with 10, you can find the measure of the angle, so if it's 2x, 2(10)=20 and if 3x, 3(10)=30

Answer:

4 lol

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

X is equal to 50..

Step-by-step explanation:

as angle 1 and 3 are equal

2*50+10

100+10

is 110

so X is 50