You have a set of 10 cards numbered 1 to 10. You choose a card at random. Event A is
choosing a number less than 8. Event B is choosing an even number. Calculate the
probability of A NB.
P(A NB) =

Answer:

a

Step-by-step explanation:

[tex]6x+4=20-2x[/tex]

Add 2 to each side

[tex]8x+4=20[/tex]

Subtract 4 from each side

[tex]8x=16[/tex]

Divide 8 by each side

[tex]x=2[/tex]

Answer:

a

Step-by-step explanation:

Your goal is to isolate the variable(x). If you subtract 4 from the left side and right side, then you are left with , 6x=16-2x. Then you add 2x to both sides to get 8x=16. Lastly divide both sides by 8 to get x=2. Hope this helps :)

Answer:

432 ft²

Step-by-step explanation:

First lets find radius (r);

r = d/2

r = 24/2

r = 12

Now let's find the area;

A = π(12)²

A = 3(144)

A = 432 ft²

Hope this helps!

u could ask your teacher for help but i really dk

Answer:

See below.

Step-by-step explanation:

X-intercepts: (-5, 0) & (-1, 0)

Axis of Symmetry: x = -3

Y-intercept: (0, 5)

Vertex: (-3, -4)

Answer:

Second and last options are correct answers.

Step-by-step explanation:

Correct options are:

[tex] \huge \frac{(8^3)^2}{8^{-5}}= \purple {\bold {\frac{8^6}{8^{-5}}}} [/tex]

[tex]\huge \frac{(8^3)^2}{8^{-5}}= \frac{8^6}{8^{-5}}=\red{\bold {8^{11}}} [/tex]

Answer:

-29

Step-by-step explanation:

y = 2 (-2) ^3 + 5 (-2) - 3

y = -16 -10 -3

y = -26 - 3

y = -29

Then,f(-2)=?

Answer:

13

Step-by-step explanation:

Given the expression;

2 1/3 : 4 1/3 = 7 : x

Wea re to look for x;

Convert to improper fractions;

7/3 : 13/3 = 7:x

7/3 * 3/13 = 7/x

7/13 = 7/x

Cross multiply

7x = 13 * 7

7x = 91

x = 91/7

x = 13

Hence the unknown value is 13

Answer:

24,000 milliliters

Step-by-step explanation:

Because

1 liter = 1000 milliliters

so 24 liters would be 24,000 Milliliters

Answer:

706.8583

Step-by-step explanation:

[tex]Area = \pi r^2[/tex]

[tex]Area = \pi 15^2[/tex]

[tex]Area = \pi 225[/tex]

[tex]Area = 3.14159265*225[/tex]

[tex]Area = 706.85834625[/tex]

Round it and you get 706.8583

1/1.5 * 10^-6 = 2500/x

x = 1.5 * 10^-6 * 2500

x = 0.00375 or 3.75 * 10^-3 second.

Answer:

Area = 20 square units

Step-by-step explanation:

=> We know that;

Base 1: 3 units

Base 2: 7 units

Height: 4 units

=> Now let's come up with a congruent base first:

[tex]\frac{(3 + 7)}{2}[/tex] = final base

10/2 = final base

5 = final base

=> Finally, Area of the trapezoid:

A = Final Base * Height

A = 5 * 4

A = 20 square units

Hope this helps!

umm... can i ask if, where is the graph you say?

Answer:

729

Step-by-step explanation:

Each side of the cube measures 9cm

The volume of a cube is V^3

Therefore the volume can be calculated as follows

= 9^3

= 729

Hence the volume is 729

Answer:

y = -5/2x + 6

Step-by-step explanation:

y = -5/2x + b

-4 = -5/2(4) + b

-4 = -10 + b

6 = b

Answer:

-11x - 24

Step-by-step explanation

Answer:

sure I can help with that.....

Answer:

[tex]let \: number \: of \: rides \: be \: \: n \\ let \: cost \: be \: \: c \\ n \: \alpha \: c \\ n = kc \\ k \: is \: a \: costant \: of \: proportionality \\ when \: n = 1. \: \: c = 2 \\ 1 = (k \times 2) \\ k = \frac{1}{2} \\ therefore : \\ n = 0.5c[/tex]

Answer:

[tex]\huge\boxed{\sf x = 6 + 2y}[/tex]

Step-by-step explanation:

Let the total cost be x and number of rides be y

It costs $2 on each ride. So, the rides' cost will be:

=> Number of rides * One rides' cost

=> y * 2

=> 2 y

So, The total cost will be:

Total cost = Entrance cost + Rides' cost

Total cost = $6 + $2(Number of rides)

x = 6 + 2y

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

24 ;] ;] ;]

Step-by-step explanation:

Answer: No solution

Step-by-step explanation: by solving the rational equation by combining expressions and isolating the variable = no solution

Given:

A fruit salad recipe calls for [tex]\dfrac{3}{4}[/tex] pound of apples and [tex]\dfrac{2}{5}[/tex] pound of dates.

To find:

The least common denominator of the fractions.

Solution:

The given fractions are:

[tex]\dfrac{3}{4}[/tex] and [tex]\dfrac{2}{5}[/tex]

The denominators of these fractions are 4 and 5 respectively.

Factor form of 4 is 2×2.

5 is a prime number, so factor form of 5 is 5×1.

Now, the least common denominator of the fractions is:

[tex]LCD=2\times 2\times 5[/tex]

[tex]LCD=20[/tex]

Therefore, the least common denominator of the fractions is 20.

Answer:5/8

Step-by-step explanation:

The function f(x) = sinx will be shift left side by π/3 units and becomes g(x) = sin(x + π/3) and period of the transformed function becomes 2π

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a primary function:

f(x) = sinx     and

The transformed function is:

[tex]\rm g(x) = sin(x+\frac{{\pi} }{3} )[/tex]

If we replace x to [tex]\rm x + \frac{\pi}{3}[/tex] it will shift to the left by π/3 units.

For a period of the transformed function is given by:

[tex]\rm T = \frac{2\pi}{n}[/tex]

Where n is used to find the period of the function.

n = 1

t = 2π

Thus, the function f(x) = sinx will be shift left side by π/3 units and becomes g(x) = sin(x + π/3) and period of the transformed function becomes 2π

Learn more about the function here:

brainly.com/question/5245372

Answer:

13.45 cm

Step-by-step explanation:

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