Each time Caroline goes shopping she decides whether or not to buy fruit.
The probability that she does buy fruit is 0.4.
Independently, she then decides whether or not to buy a CD, with a probability of 0.3 that she does buy a CD.
Work out the probability that she buys fruit or buys a CD or both.

Answer:

the missing numbers be 60 and 6 respectively

Step-by-step explanation:

The computation of the missing numbers are shown below:

Let us assume the missing numbers be x

a/

, [tex]\frac{1}{2} \times 30 = \frac{1}{4} \times x\\\\15 = \frac{1}{4} \times x\\\\x = 60[/tex]

b.

[tex]\frac{1}{3} \times 12 = \frac{2}{3} \times x\\\\4 = \frac{2}{3} \times x\\\\x = 6[/tex]

Hence, the missing numbers be 60 and 6 respectively

Answer:

Step-by-step explanation:

[tex]-8=-\frac32z[/tex]         {swap sides}

[tex]-\frac32z=-8[/tex]         {divide both sides by (-³/₂)}

[tex]z=-8\div(-\frac32)\\\\z=-8\times(-\frac23)\\\\z=-\frac{16}3=-5\frac13[/tex]

Answer:

The answer is: 8.102×10^10

11.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Someone answer this question please I need help to!

Given:

The function is

[tex]f(x)=-2x^4-4x^3+x^2+x+3[/tex]

To find:

The graph of the function by using the end behaviors.

Solution:

We have,

[tex]f(x)=-2x^4-4x^3+x^2+x+3[/tex]

The degree of the polynomial is 4 which is even and the leading coefficient is -2, which is negative. So,

[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]

[tex]f(x)\to -\infty\text{ as }x\to \infty[/tex]

It means, the graph of the function approaches to negative infinity on the both ends.

Therefore, the correct option is C.

Answer:

As "x" increases "y" *decreases*

y as a function of x is not *constant*

Therefore the function is *nonlinear*

For all values of x, the function value y *≥* 0.

The y intercept of the graph is *8*

x=1 function value of y is *5*

Answer:

√37

Step-by-step explanation:

Answer:

Graphing the equations and seeing where they intersect.  Use DEMOS Graphing Calculator off of the internet.  It works great.  I even use it to check my work when I use algebra

This method also works well with quadratics and lines

Step-by-step explanation:

Answer:

9+2=x/2

11=x/2

11×2=x

x=22

Answer:

Step-by-step explanation:

18+12+9

Answer:

756 cm^2

Step-by-step explanation:

9 x 12 = 108 triangles

9 x 18 = 162 back side

9^2 + 12^2 = c^2

9^2 + 12^2 = 225

9^2 + 12^2 = 15^2

length of the hypotenuse is 15 so

15 x 18 = 270 slanted top

18 x 12 = 216 bottom

216 + 270 + 162 + 108 = 756 cm^2

Answer: $335,633

Step-by-step explanation:

First find the number of years difference:

= 2025 - 1985

= 40 years

Use the compound interest formula to find the answer:

= Value * ( 1 + rate) ^ no. of years

= 125,000 * ( 1 + 2.5%)⁴⁰

= $335,633

Answer:

29/36pi radians

240 degrees

Step-by-step explanation:

pi  = 180

145/180pi = 29/36pi radians

4/3*180 = 240 degrees

Answer:

Okay so this is the best way to explain it, its already in y=mx+b form which is the easiest way to graph something, its where m= slope and b=the y-intercept  so 1/3 is m so the slope is 1/3 but first we need to mark the y coordinate which is 5, so on your graph dot (0,5) then from that go up 1 and right 3 then that should be your graph!!! I've included pictures to help you know what it should look like.

Step-by-step explanation:

Please look at pictures below!! This is the best explanation i could give, Hope this helps!!!

Answer:

194527.41792

Step-by-step explanation:

Volume for each rod: 1130.97336

Multiply the volume by 172:

1130.97336 x 172 = 194527.41792

And that's your answer

Answer:

Cost of Material per square foot = $1.7

Step-by-step explanation:

Given:

Length = 24

Width = 12

Height = 6.5

Find:

Cost of Material per square foot

Computation:

TSA of pit = 2[bh + hl] + lb

TSA of pit = 2[(12)(6.5) + (24)(6.5)] + (24)(12)

TSA of pit = 2[78+156] + 288

TSA of pit = 756 square foot

Cost of Material per square foot = 1,285.20 / 756

Cost of Material per square foot = $1.7

Answer:

The answer is 3.

Step-by-step planation:

All you have to do is find the 2 points and it looks like this:

(-2,-3) , (0,3)

3- -3 /0- -2   = 6/2 = 3

Answer:

1.5

Step-by-step explanation:

Answer:

A = -17

Step-by-step explanation:

F(5) = -4(5) + 3

F(5) = -20 + 3

F(5) = -17

Answer:

D. 23

Step-by-step explanation:

f(-5) = -4(-5) + 3

= 20 + 3

= 23

therefore f(-5) is 23

Answer:

70 i think

Step-by-step explanation:

Answer:

D.  sin 18°

Step-by-step explanation:

sin 18 because 18 + 72 = 90

Answer:

y intercept is 10

Step-by-step explanation:

Answer:

See solutions below

Explanation

We are to find the equation of circle A and B

The equation of a circle is expressed as;

(x-a)^2 + (y-b)^2 = r^2

(a, b) is the centre and r is the radius

For Circle A that has center of (6, 7), and a radius of 4

Substitute;

(x-6)^2 + (y-7)^2 = 4^2

(x-6)^2+(y-7)^2 = 16

Hence the equation of circle A is (x-6)^2+(y-7)^2 = 16

For circle B:

If circle B has a center of (2, 4), and a radius of 16

The equation is expressed as;

(x-2)^2+(x-4)^2 = 16^2

(x-2)^2+(x-4)^2 = 256

Hence the required equation is (x-2)^2+(x-4)^2 = 256

Answer I don't know the answer but i can help you find it out, so basically your going to times 3.14 by the numbers in the circle

Step-by-step explanation:

Step-by-step explanation:

In order to find each one, you use the formula A=pi R², meaning you put the radius to the power of two(multiply it by itself) and then multiply that by pi. ex: 7.4×7.4= 54.76,

next 54.76×3.14=171.9, which is your answer. If it gives you the diameter of the circle, divide that by two to get the radius, and follow the steps from before. Ex: 2.24÷2=1.12, next 1.12×1.12=1.2544, next 1.2544×3.14=3.9, the answer.

answer)

Answer:

8) x=9

10) 23 degrees

Step-by-step explanation:

8) vertical angles are congruent to each other so we can set the expressions as such and solve:

7x + 3 = 10x - 24

3 = 3x - 24

27 = 3x

9 = x

10) since the angles are complementary they equal 90 degrees, so we can set the expression like this and solve for x:

12x + 7 + 6x - 7 = 90

18x + 7 - 7 = 90

18x = 90

x = 5

now we plug it back into the expression equivalent to the measure of angle O:

6(5) -7

30 - 7

23 degrees