A security alarm requires a four-digit code. The code can use the digits 0–9 and the digits cannot be repeated. What is the approximate probability that the code only contains odd numbers? 0.0005 0.00099 0.012 0.02381

Answer:

Step-by-step explanation:

It appears from our choices that this is a linear function, a line in the form

y = mx + b

We need to first find the slope. The 3 coordinates are (4, 66), (5, 77), (6, 88).

Using the slope formula twice to make sure this is in fact linear:

and between the next set of coordinates:

Since the slopes are the same, this is in fact linear. Using that slope along with 1 of the points in the point-slope formula for a line:

y - 66 = 11(x - 4) and

y - 66 = 11x - 44 and

y = 11x + 22, choice C.

y = 11x + 22

Answer:

N^8.

Step-by-step explanation:

[tex]\frac{N^{10}}{N^2}[/tex] = [tex]N^{10 - 2}[/tex] = [tex]N^8[/tex]

Hope this helps!

Answer:B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

If 5x is a positive odd number, using 1 for x would satisfy this.

So the number of even numbers between 5(1) and 5(1)+6 would be the numbers between 5 and 11.

You have 6, 8, 10 between those numbers that are even

If you chose 3 for x instead:

5(3) and 5(3)+6 ; 15 and 21

These also have 3 even numbers between them, being 16, 18, and 20

There will be 3 even numbers between  5x an 5x+6 , Option C is the correct answer.

An Odd Number is a number which is not divisible by 2.

It is given that

5x is a positive odd number

Every alternate term from the next term of 5x will be an even number

Upto 5x+6 , there will be

5x+1 , 5x+3 , 5x+5

For checking , let x = 1

The number will be 5 , the even number between 5 and 5+6 = 11 is asked

6 , 8 , 10

Therefore there will be 3 even numbers between  5x an 5x+6 , Option C is the correct answer

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Answer:

  [tex]\textbf{A. }4\sqrt{6}[/tex]

Step-by-step explanation:

The hypotenuse of the isosceles right triangle is √2 times the length of one leg, so is 6√2.

The hypotenuse of the 30°-60°-90° right triangle is 2/√3 times the length of the longer leg.

  [tex]x=\dfrac{2}{\sqrt{3}}\cdot 6\sqrt{2}\\\\=\dfrac{(2\sqrt{3})(6\sqrt{2})}{3}\quad\text{rationalize the denominator}\\\\\boxed{x=4\sqrt{6}}[/tex]

Answer:

The answer is

Step-by-step explanation:

[tex]( {5x}^{7} {y}^{2} )( { - 4x}^{4} {y}^{5} ) = - 20 {x}^{a} {y}^{b} [/tex]

Multiply the terms on the left side of the equation

That's

[tex] - 20 {x}^{11} {y}^{7} = - 20 {x}^{a} {y}^{b} [/tex]

Since the bases are the same we can equate the exponents

That's

[tex] {x}^{11} = {x}^{a} [/tex]

a = 11

And

[tex] {y}^{7} = {y}^{b} [/tex]

b = 11

Therefore

a = 11 and b = 7

Hope this helps you

Answer: 2.4 UNITS

Step-by-step explanation:

The sine rule :

Sine A / a = Sine B / b = Sine C / c

From the diagram attached :

QR = s = 2.4 ; QS =r = 3.1 ; RS =q =?

We need to find the angle RQS

using Sine rule :

Sine R / r = Sine S / s

Sin 80° / 3.1 = sin S / 2.4

0.9848077 / 3.1 = sin S / 2.4

Sin S × 3.1 = 0.9848077 × 2.4

Sin S = 2.3635386 / 3.1

Sin S = 0.7624318

S = Sin^-1(0.7624318)

S = 49.67°

Therefore, form using ;

A + B + C = 180° ( SUM of angles in a triangle)

SQR = 180° - (QRS + QSR)

= 180° - ( 80 + 49.67)° = 50.33°

Q = 50.33°

THEREFORE,

Sine Q / q = Sin S / s

Sin 50.33° / q = Sin 49.67° / 2.4

0.7697339 / q = 0.7623295 / 2.4

0.7623295q = 0.7697339 × 2.4

q = 1.84736136 / 0.7623295

q = 2.4233108

q = Segment RS = 2.4units

Answer:

B) 2.5 is the right answer

Step-by-step explanation:

i got 100%

Answer: B is the correct choice

Step-by-step explanation:

The values are essentially the same. You need to recognize how the symbols in the expressions match up with the symbols on the graph.

The open circle on the right end of the parabola means the function is less than (not including) 2 so <2 for that part.

The solid circle at the left of the line means f(x) includes all the values to the right are greater than or equal to 2 so ≥2 for that part.

Answer:

x12

Step-by-step explanation:

When multipling  numbers that are the same with exponent you can just add the exponents.

so x5*x7=x12

(It would be subtraction if there was division)

Hope this helped you and feel free to ask questions!

Answer:

x^12

Step-by-step explanation:

When multiplying exponents, the rule below is followed.

[tex]x^a * x^b= x^{a+b}[/tex]

Basically, the base remains the same, but the numbers in the exponents are added.

We are given:

[tex]x^5*x^7[/tex]

We leave the base (x)as is, and add the numbers in the exponents (5 and 7).

[tex]x^5*x^7\\[/tex]

[tex]x^{5+7[/tex]

[tex]x^{12}[/tex]

The expression [tex]x^5*x^7\\[/tex] can be simplified as: [tex]x^{12{[/tex]

Answer:

The y-intercept is 1/3

Step-by-step explanation:

The y-intercept of the function is 1/3 because if u put into form y=mx+b then the b is the y-intercept.

Answer:

1/3

Step-by-step explanation:

For this formula you look at the b value from the formula y = mx + b where in this case b = 1/3

Answer:

1 number ans (-3.5,3.5)

2 number ans(5,6)

Step-by-step explanation:

mid point formula is( X 1 + X 2 by 2 , Y1 + Y2 by 2 )

I'm assuming that you want me to solve for v, so I'll do that.

-6/5 - 2/3v + 4/15 + 1/3v

step 1: we have to make sure that the two fractions have the same denominator, so when they have the same denominator, the equation will look like this:

-18/15-2/3v+4/15+1/3v

step 2: so now, we can solve and say that -18/15+4/15 = -14/15

step 3: our equation now looks like this: -14/15 - 2/3v + 1/3v. we can tell that the two v's have the same denominator so you can solve them.

-2/3v + 1/3v = -1/3v

step 4: -14/15 - 1/3v = 0

-14/15 - 1/3v + 1/3v = 1/3v (we're doing this because we need to get -1/3 to the other side of the equal sign and as soon as we do, the sign switches).

Please make this the Brainliest if it helped! Thanks :)

Answer:

The other factor is (x + 2).

Step-by-step explanation:

If x - 10 is a  factor of x^2 - 8x - 20 then we must find another factor that includes +2x, so that we have -10x + 2x = -8x.  That factor is (x + 2):

x^2 - 8x - 20 = (x - 10)(x + 2)

As a test, multiply -10 and +2.  We get -20, matching the constant of the given polynomial.  Also, -10x + 2x = -8x, another match.

Answer:

(x-12) and (x+12)

Step-by-step explanation:

Answer:

a. A/B = 7/3

b. (p,q) = (4,0)

c. (p,q) = (0,2)

Step-by-step explanation:

We have the line as:

21x-6y-15 = 0

The general form of the equation of a straight line is;

y = mx + c

Where m is the slope and c is the y -intercept

writing the above in this manner, we have

6y = 21x -15

Now let’s divide through by 6;

y = 21x/6 -15/6

y = 7x/3 -5/3

Since in the general equation of a straight line, the coefficient of x is the slope, this means that our slope is 7/3 which makes A = 7 and B = 3

Considering the equation;

3x + 6y = 12

Expressing in the general form, we have

6y = 12-3x

divide through by 6

y = 12/6 -3x/6

y = 2-0.5x

Now we want to find the x intercept. At the x-intercept, the value of y = 0

Thus 0 = 2-0.5x

0.5x = 2

x = 2/0.5 = 4

so (p,q) = (4,0)

For the y intercept

y = 2-0.5x

Obviously the y intercept here is 2, so the coordinates of the y-intercept here is (0,2) = (p,q)

Answer:

  On a coordinate plane, a v-shaped graph opens up.

Step-by-step explanation:

If you can draw a vertical line that intersects the graph in more than one place, the graph is NOT a function.

It appears your only function is ...

  On a coordinate plane, a v-shaped graph opens up.

Answer:

 On a coordinate plane, a v-shaped graph opens up.

Step-by-step explanation:

Good luck everybody and have a great day :D

Hey there! :)

Answer:

0.3.

Step-by-step explanation:

Looking at the row for "Less than 80° F", the column for "Rain" shows a 0.3 probability in the table. Therefore:

The probability of rain on a day less than 80°F is 0.3.

Answer:

There you go mate!

Step-by-step explanation:

Answer:  b=46

Step-by-step explanation:

b+33 = b-13 +  b    the exterior angle  is the sum of two interior angles.

                            so they have to equal each and solve for b

b+33=b -13 + b  

b +33 = 2b -13      

   + 13         +13

b+ 46 = 2b

-b          -b

  46 = 1b

b=46

Answer:

0.865

Step-by-step explanation:

To solve for the probability we would be using the formula:

F(x) = 1 - e^−λx

Therefore, P(x > 2000) = F(x) = 1 - e^−λx

Mean = 1000 hours

λ = 1/mean = 1/1000 hours

x= 2000 hours

F(x) = 1 - e^−(1/1000)2000

F(x) = 1 - e^−2

= 0.8646647168

Therefore, the probability the the circuit will last at least 2000 hours = 0.865

Answer:

the y intercept is same for both

Step-by-step explanation:

that is the only answer

Answer:

Last 2 choices

Step-by-step explanation:

Points on the graph:

(-2, 4) and (0, -4)

To find b, using the first point

So the equation for the graph is:

=============

1. The slope is positive. no, it is -4 for both

2. Lines are same, so answer is no

3. yes

4. yes

Answer:

17.5 kg of water.

Step-by-step explanation:

The amount of alcohol in the 15% solution = 20*0.15 =  3kg.

If 3 kg is equivalent to 8% solution

then 100%  is  3*100 / 8 = 37.5 kg.

So the amount of water to be added to make 8% solution = 37.5 - 20

= 17.5 kg.

Answer:6 ÷ 4x = 15

Step-by-step explanation:

six is less than the quotient and quotient mean division, replace a number with a variable and put it with four and the you would put equal 15

Answer:

x=84

Step-by-step explanation:

x÷4-6=15

x÷4=21

x=84

Answer:

y = (x-.5)^2 -12.25

Step-by-step explanation:

first, find the vertex

x from (x,y) = -b/2a

ax^2-bx - c

1x^2-1x -12

-1/2(-1) = -1/-2 - 1/2

(1/2,y) then use x value to find y value

y = 1/2^2 - 1/2 - 12

y = .25 -.5 - 12    = -12.25

(.5,-12.25) input values into this formula:

y = a(x-h)^2 + k where h = x-value and k = y-value. use same a value = 1

y = (x-.5)^2 -12.25

Answer:

A

Step-by-step explanation:

There isn’t enough info provided

Answer:

The answer is d

Step-by-step explanation:

The place value of the 8 is 8/1000 or 0.008 or 8 thousandths in 4.328.

The place value of a digit is determined by the position of the digit relative to the decimal point. In a number with a decimal point, the digits to the left of the decimal point represent whole numbers, and the digits to the right of the decimal point represent fractions.

here, we have,

Each place to the right of the decimal point represents a fraction that is one-tenth the size of the place to its left. For example, the hundredth place is one-tenth the size of the tenth place, the thousandth place is one-tenth the size of the hundredth place, and so on.

In the number 4.328, 8 is in the thousandth place, which is the third place to the right of the decimal point.

Thus, the place value of the 8 is 0.008, or 8 thousandths.

Learn more about the place value strategy here:

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Answer:

gradient = 1

Step-by-step explanation:

Calculate the gradient using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (2, 3)

m = [tex]\frac{3-2}{2-1}[/tex] = 1

Answer:

1

Step-by-step explanation:

the  gradient = difference between coordinate y/difference between coordinate x

(3-2)/(2-1)=1

Answer:

-1, 1

Step-by-step explanation:

what is 1/3 of -3 and 3

Answer:

No.

Step-by-step explanation:

Let's first and try to isolate x.

-2x < 5

(Divide by -2)

x > -5/2 ( < changes to > b/c it was divided by a negative)

x > -2.5

Since x is all values greater than -2.5, -6 is not within those bounds.

Thus, -6 is not a solution to the inequality.

Hope that helps!

Answer:

101.58 in

Step-by-step explanation:

The ramp r is the hypotenuse of a right triangle with the ground and 28 in height being the legs.

The angle of elevation 16° is the angle inside the triangle opposite the 28 in height.

Using the sine ratio in the right triangle, then

sin16° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{28}{r}[/tex] ( multiply both sides by r )

r × sin16° = 28 ( divide both sides by sin16° )

r = [tex]\frac{28}{sin16}[/tex] ≈ 101.58 in

Answer:

The 3rd answer

Step-by-step explanation: