You draw one card from a standard deck of playing cards. If you pick a heart, you win $10. If you pick a face card, which is not a heart, you win $8. If you pick any other card you lose $6. What is the expected value of the game?

[tex]3-(x+1)=3-x-1[/tex]

[tex](+3)-(x+1)[/tex]

[tex](+3)-1(x+1)[/tex]

Distribute the -1 to (x+1)

[tex](+3)-1x-1[/tex]

[tex]3-x-1[/tex]

[tex]-x+2[/tex]

3-1(x+1) = 3-x-1

Step 1. distribute the negative sign

2(-x-1) = 3-x-1

Step 2. distribute the 3

-2x-3= 3-x-1

add 3 on both sides

-2x = 6 - x - 1

add x to both sides

-1x = 6 - 1

-1x=5

x=5

SO..... u have to plug 5 in

Answer:

9.8.  is the Average Age
30.7 is the Variance

Step-by-step explanation:

9.8 is the Average Age and the 30.7 is the Variance.

The term variance refers to a statistical measurement of the spread between numbers in a data set.

Given that, 4 zebras at a local zoo have ages 14, 15, 9, 1,

We need to find the average age and the variance,

we know that,

Average = Sum of all the values of the set given / Number of values in the set

And,

Variance = sum of all the values of (x - means) ² / (n)

So,

Average age = 14 + 15 + 9 + 1 / 4 = 39/4 = 9.75

Variance =

(14-9.75) ² = 18.06

(15-9.75) ² = 27.56

(9-9.75) ² = 0.5625

(1-9.75) ² = 76.56

= 18.06 + 27.56 + 0.5625 + 76.56 / 4

=  30.68 ≈ 30.7

Hence, 9.8 is the Average Age and the 30.7 is the Variance.

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Answer: 9%

Step-by-step explanation:

SI = prt/100

1620 = (9000 x r x 2) / 100

Answer & Step-by-step explanation:

For this problem, all we have to do is multiply the two expressions.

f(x) = 3x + 1

g(x) = x² - 6

Now, let's set up our equation for multiplication.

(f * g)(x) = (3x + 1)(x² - 6)

(f * g)(x) = 3x³ - 18x + x² - 6

(f * g)(x) = 3x³ + x² - 18x - 6

So, (f * g)(x) is 3x^3 + x^2 - 18x - 6

the correct Answer is

3x^3+x^2-18x-6

Answer:

26 tiles

Step-by-step explanation:

In the picture attached, the pattern is shown.

From the picture, we can see that:

Therefore, the next patterns will have:

Answer:

The graph is reflected over the x axis and shifted up three units

The westerly and northerly components of the velocity of a flying airplane are 343.5 km/h and 66.7 km/h respectively.

Given in the question,

The airplane is flying at 350km/h in a direction of 349 degrees.

so, the airplane is flying 360-349=11degrees from the east as shown in the image.

The northerly component is 350*sin11degrees and the westerly component is 350*cos11degrees.

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Answer:

You can change the number of bacteria which is y, by the number of hours. So the equation would be like = t is 10y. ( In this case, y is  1 cell )

Step-by-step explanation:

I hoped this helped!

Answer:

Tell me if i'm wrong and stuff

Answer:

A:x ( x + 3 )

B:2 x ( x − 4 )

C:3 x ( 2 + 3 x 2 )

D:4 x 2 ( 3 x − 1 )

Step-by-step explanation:

hope this helps

mark me brainly

Answer:

[tex]\frac{3}{7}, -3[/tex]

Step-by-step explanation:

[tex]7x-3=0[/tex]

[tex]7x-3+3=0+3[/tex]

[tex]7x=3[/tex]

[tex]\frac{7x}{7}=\frac{3}{7}[/tex]

[tex]x=\frac{3}{7}[/tex]

[tex]\left(\frac{3}{7},\:0\right)[/tex]

[tex]y=7\cdot \:0-3[/tex]

[tex]y=0-3[/tex]

[tex]y=-3[/tex]

[tex]\left(0,\:-3\right)[/tex]

Answer:

3/7, 0

Step-by-step explanation:

7x-3=0

7x = 3

x = 3/7

substitute

y = 7(3/7) - 3

7s cancel out

y = 3 - 3

y= 0

Answer:

It's A.

Step-by-step explanation:

-1 3/8  means 1 and 3/8 less than zero so  its 0 - 1 then -  another 3/8.

Answer:

a

Step-by-step explanation:

this is because a is equal to -1 +-3/8 which is -1 3/8

Answer:

1/9x-2

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Let's call the first number n. The next four numbers will be n + 3, n + 6, n + 9 and n + 12. Then, we have

n + n + 3 + n + 6 + n + 9 + n + 12 = 105

5n + 30 = 105

5n = 75

n = 15

The second smallest number is n + 3 which is 15 + 3 = 18.

Answer:

18

Step-by-step explanation:

Answer:4

Step-by-step explanation:

Answer:D

Step-by-step explanation:

Y=e^x

Answer:

47°

Step-by-step explanation:

In the picture attached, the problem is shown.

When two secants intersect at a point, the angle made is one-half of the difference between the greater arc and the minor arc formed. In this case:

∠ABC = 1/2*(arc DE - arc AC)

Replacing with data from the picture:

∠ABC = 1/2*(142° - 48°)

∠ABC = 47°

Answer:

Step-by-step explanation:

x-y=5

-x+y=5

or x-y=-5

so it is a system of two parallel lines.

so no solution.

or they do not intersect atmany point.

Answer:

(-8,-7)

Step-by-step explanation:

assuming that the top part of the y-axis is north and the bottom part is south

we know west is to the left and that means -5 so -3-5=-8 meaning our coordinate is (-8,-7)

The length of other leg is 30 ft

Look at the attached picture

Hope it helps...

Good luck on your assignment

Answer:

[tex] = 30ft[/tex]

Step-by-step explanation:

[tex]h = 34ft \\ p = 16ft[/tex]

[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ {34}^{2} = {16}^{2} + {b}^{2} \\ 1156 = 256 + {b}^{2} \\ 1156 - 256 = {b}^{2} \\ 900 = {b}^{2} \\ \sqrt{900} = b \\ 30ft = b[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

-6p^5+48p

Step-by-step explanation:

-6p (p^4- 8)= -6p^5+48p

Solution,

-6p(p^4-8)

= -6p^5+48p

Hope it helps

good luck on your assignment

Answer:

Is there a picture to it.

that will me helpful for me

Step-by-step explanation:

Willing to help

The equation for the circumference is 2 pi r. You have the circumference given.

Now, divide that by pi to get 2 r.

This is approximately 11.63.

Now, divide that by 2 to get the radius.

Radius = 5.14 yards.  

Answer:

(b + 3)(4b + 5)

Step-by-step explanation:

Given

4b² + 17b + 15

Consider the factors of the product of the b² term and the constant term which sum to give the coefficient of the b- term.

product = 4 × 15 = 60 and sum = 17

The factors are 12 and 5

Use these factors to split the b- term

4b² + 12b + 5b + 15 ( factor the first/second and third/fourth terms )

= 4b(b + 3) + 5(b + 3) ← factor out (b + 3) from each term

= (b + 3)(4b + 5) ← in factored form

Answer: The sum of the measures of the exterior angles in a convex polygon is 360 degrees (this can be proven using the sum of the interior angles). Since each exterior angle measures 36 degrees, there are 10 sides to the polygon.

Step-by-step explanation:

Answer:

The correct answer is A. {R,G,Y,B}.

Step-by-step explanation:

The sample space for the given information is A. {R, G, Y, B}.

A sample space can be defined as a set of all possible outcomes of a random experiment.

The sample space is represented by the symbol, ‘S’. Sample space can also be expressed using the set notation, {}.

Given that, a bag has 4 balls: 1 red (R), 1 green (G), 1 yellow (Y), and 1 blue (B), we need to find the sample space for this data,

So,

Since, the sample space is the all the data in the set,

Therefore, the whole set is = 1 red (R), 1 green (G), 1 yellow (Y), and 1 blue (B).

Therefore,

S = {R, G, Y, B}

Hence, the sample space for the given information is A. {R, G, Y, B}.

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Answer:

[tex]x=112[/tex]

Step-by-step explanation:

The opposite angles of a parallelogram are equal.

Answer:

2:5

Step-by-step explanation:

Answer:

25/36

Step-by-step explanation:

The dicisors of 12 on a die are 1,2,3,4,6

So 5/6 per die

5/6*5/6 = 25/36

Answer:

260

Step-by-step explanation: