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Find the missing side length!

Answer:

it may multiple by 10 times

Probability of an event is the measure of its chance of occurrence. The value of the probability P(cream and sugar) is given by: Option A: 0.4

For two events A and B, we have:

Probability that event A or B occurs = Probability that event A occurs + Probability that event B occurs - Probability that both the event A and B occur simultaneously.

This can be written symbolically as:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

For the considered case, the probabilities are:

Thus, we get;

P(cream or sugar) = P(cream) + P(sugar) - P(cream and sugar)

0.7 = 0.5 + 0.6 - P(cream and sugar)

P(cream and sugar) = 1.1 -0.7 = 0.4

Thus, the value of the probability P(cream and sugar) is given by: Option A: 0.4

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The expression that represents profit in the given example is

33x+390.

It is given that

Revenue function = [tex]2x^3 +30x-130[/tex]

Cost function = [tex]2x^3-3x-520[/tex]

Profit function = revenue function- cost function

Profit function= [tex]{2x^3 +30x-130}-{2x^3+3x+520[/tex]

profit function= 33x+390

Therefore, the expression that represents profit in the given example is

27x-650

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Answer:

33x+390.

Step-by-step explanation:
I took the test

Answer:

4

Step-by-step explanation:

The volume of a rectangular prism V is the product of its length ℓ, width w, and height h.

V=ℓwh

ou want to find how much longer the block of milk chocolate fudge is than the block of white chocolate fudge.

First, find how long the block of milk chocolate fudge is. The block of milk chocolate fudge is shaped like a rectangular prism. Its width is 6 centimeters, its height is 6 centimeters, and its volume is 504 cubic centimeters.

To find how long the block of milk chocolate fudge is, ℓ, you can use the formula for the volume of a rectangular prism.

V

= ℓwh

504

= ℓ66

504

= ℓ36 Multiply 6 by 6

506

36

=

ℓ36

36

Divide both sides by 36

14

= ℓ Simplify

The block of milk chocolate fudge is 14 centimeters long.

Now, find how long the block of white chocolate fudge is. The block of white chocolate fudge is shaped like a rectangular prism. Its width is 6 centimeters, its height is 6 centimeters, and its volume is 360 cubic centimeters.

To find how long the block of white chocolate fudge is, ℓ, you can use the formula for the volume of a rectangular prism.

V

= ℓwh

360

= ℓ66

360

= ℓ36 Multiply 6 by 6

360

36

=

ℓ36

36

Divide both sides by 36

10

= ℓ Simplify

The block of white chocolate fudge is 10 centimeters long.

Subtract to find how much longer the block of milk chocolate is than the block of white chocolate fudge.

14–10=4

The block of milk chocolate fudge is 4 centimeters longer than the block of white chocolate fudge.

Answer:

3/17

Step-by-step explanation:

Add together all the readers, and then as the numerator of the fraction put the number of Paperback Books and the 1 hour per week. The fraction is three seventeenths.

Answer:

3/17

Step-by-step explanation:

the number of club members who read about 1 hour per week AND prefer paperback books is 3

Put that over the total amount of club members in the sample which is 17

so 3/17 and that doesn't simplify :)

Answer:

you respiratory system puts oxygen in the blood s and the cardiovascular system pumps it through the body

Answer:

x < 3

Step-by-step explanation:

6(x + 3) < 5x + 18 + x

Answer: 1766.3

Step-by-step explanation:

Answer: Depreciating at 7% 100 - 7 = 93%

93% = 93/100 = 0.93

0.93 is your factor of depreciation.

There are 9 years between 2004 and 2013

So, you set 9 as power on your factor

0.93^9

Multiply your original value

$192,000 x 0.93^9

= $99,918.93

This is the value of the boat in 2013.

Step-by-step explanation: Hope this helps

Answer:

your answer is 3.44

Step-by-step explanation:

First...

           divide 16 by 5 which equals 3.2

Second...

            then you want to divided 11 by 3.2 which will give you 3.4375

Last...

           Round 3.4375 to the nerest tenth which will give you 3.44

Answer:

Step-by-step explanation: Explanation:

You need to use the formula for slope:

m

=

y

2

−

y

1

x

2

−

x

1

m

represents the slope.

You need to assign each coordinate, but it must correspond.

For example:

In the coordinate

(

2

,

−

3

)

,

2

is

x

1

and

−

3

is

y

1

.

In the coordinate

(

5

,

2

)

,

5

is

x

2

and

2

is

y

2

.

Now you plug this in.

m

=

2

−

(

−

3

)

5

−

2

After this, you need to simplify

m

=

5

3

This may be wrong so double check.

let's solve:-

[tex]the \: formula \:to \: find   \: slope \: \bold \green{m = \frac{y2 - y1}{x2 -x1}} \\ \\ \sf{(where \: m \:  represents \: the \: slope.)} \\ \\ [/tex]

Here:-

[tex] \bold \red{\boxed{y2 = - 3} }\\ \bold \red{\boxed{y1 = - 3} }\\ \bold \red{\boxed{x2 = 5}} \: \: \: \\ \bold \red{\boxed{ x1 = 2} }\: \: \: [/tex]

[tex] \large\boxed {\sf{↬putting \: values \: according \: to \: formula}}[/tex]

[tex] \large \bold{↬m = \frac{ - 3 - ( - 3)}{5 - 2}} \\ \\\large \bold{↬m = \frac{ - 3 + 3}{5 - 2} } \: \: \: \: \: \: \: \\ \\ \large \bold{↬m = \frac{0}{3} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \bold\blue{↬m = 0} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Answer: D

Step-by-step explanation:

There are 14 students who chose vanilla, and 6 of those are male. 6/14 = 3/7.

The volume of this prism is equal to 138,240 [tex]cm^3[/tex].

Given the following data:

To determine the volume of this prism:

First of all, we would determine the volume of the cube by using this formula:

[tex]Volume = s^3\\\\Volume = 12^3\\\\Volume = 1728\;cm^3[/tex]

For the prism:

Volume = [tex]80 \times 1728[/tex]

Volume = 138,240 [tex]cm^3[/tex].

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By Using the Empirical formula we found that 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.

According to the empirical rule :

(1)   68% of the measures should come within 1 standard deviation of the mean.

(2   95% of the measures should come within 2 standard deviations of the mean.

(3)  99.7% of the measures should come within 3 standard deviations of the mean.

So we can see in this problem

The mean is 7 inches.

The standard deviation is 1.2 inches.

4.6 = 7 - 2(1.2)

9.4 = 7 + 2(1.2)

The measures are within 2 standard deviations of the mean, hence, 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.

Thus by using the Empirical Rule we found that 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.

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Answer:

5.634

Step-by-step explanation:

Side BC = 12

Side AC = 10.59537

Side AB = 5.63366

90° = 1.5708 rad = π/2

62° = 1.0821 rad

28° = 0.48869 rad

Please let me know if this helped <3

This is because of the rule that if we have rational coefficients, then one root of [tex]a+\sqrt{b}[/tex] must have a conjugate pair of [tex]a-\sqrt{b}[/tex]. Multiplying the conjugates will have the square roots cancel out.

For more information, check out the difference of squares rule.

Answer:

1. Completing the square

2. Factorisation

3. Formula method

4. Graphical method

Answer:

- For a quadratic equation ax2 + bx + c = 0, The roots are calculated using the formula, x = (-b ± √ (b² - 4ac) )/2a.

- Discriminant is, D = b2 - 4ac. If D > 0, then the equation has two real and distinct roots.

Answer: The slope would be -1/5

Heres a graph

Hope this helps!

Answer:

8 1/2 cups

Step-by-step explanation:

Add the blue and red cups of paint together to get 8 1/2 cups of paint.

Since we can assume she has enough, the answer is eight and a half cups of purple paint.

Alma can make 20 cups of purple paint.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: For every 5 cups of purple paint alma needs to add 1/2 cup of white paint .

Thus with 2 cups white paint she could make 4 batches of 5 cups of purple paint.

Therefore, total number of purple paint cups from 2 cups of white paint is

4×5=20 cupa

Hence, Alma can make 20 cups of purple paint.

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#SPJ2

Answer:

yx=8 and xy=20 so that is the correct answer

Answer:

To find the mean, add up all the values and then divide by the number of values. The median is the value that is exactly..

Answer:

1.25 grams would be left

Step-by-step explanation:

40/2=20

20/2=10

10/2=5

5/2=2.5

2.5/2=1.25

Answer:

D. (The one with a graph and line)

You can use the vertical line test.

Using the Fundamental Counting Theorem, it is found that there are 4,440 ways to assign the analysts.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

Hence:

N = (8 x 7 x 5 x 10) + (5 x 8 x 4 x 10) = 4400.

There are 4,440 ways to assign the analysts.

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Answer:

The solution is v ≤ 81.
Graph it on a number line by writing a closed circle above the number 81 with a line moving to the left (sorry I'm bad at explaining, just comment if you don't get it)

Step-by-step explanation:

5/9v ≤ 45

Divide 5/9 on both sides

v ≤ 81

Answer:

Marcia is not correct.

See explanation below.

Step-by-step explanation:

The terms are

2x²

4xy

8xy^4

The terms broken down into products of prime factors are:

2x² = 2 × x × x

4xy = 2 × 2 × x × y

8xy^4 = 2 × 2 × 2 × x × y × y × y × y

To find the GCF, we circle the common factors of the three terms (here we use bold type instead of circling.)

2x² = 2 × x × x

4xy = 2 × 2 × x × y

8xy^4 = 2 × 2 × 2 × x × y × y × y × y

The GCF is the products of the circled (bold) factors.

GCF = 2x

Marcia's answer is the Least Common Multiple.

For the LCM, you use all factors that are common and not common with the larger exponent.

LCM = 2 × 2 × 2 × x × x × y × y × y × y = 8x²y^4

Marcia's mistake is that she calculated the LCM instead of the GCF.

Answer:

Marcia is not correct.

The explanation is above.

Answer:

See below.

Step-by-step explanation:

2x^2, 4xy, and 8xy^4

She is incorrect.

The GCF is 2x.

She found the greatest term, rather than the greatest factor.

-hope it helps

Answer:

○ [tex]\displaystyle -6x^2 + 6x + 5[/tex]

Step-by-step explanation:

Since the divisor is in the form of [tex]\displaystyle x - c,[/tex]use what is called Synthetic Division. Remember, in this formula, -c gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so do not forget it. Anyway, here is how it is done:

2| −6 18 −7 −10

↓ −12 12 10

________________

−6 6 5 0 [tex]\displaystyle \hookrightarrow -6x^2 + 6x + 5[/tex]

You start by placing the c in the top left corner, then list all the coefficients of your dividend [−6x³ + 18x² - 7x - 10]. You bring down the original term closest to c then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that −6 in your quotient can be a [tex]\displaystyle -6x^2,[/tex]the [tex]\displaystyle 6x[/tex]follows right behind it, then you end it off with [tex]\displaystyle 5,[/tex]giving you the quotient of [tex]\displaystyle -6x^2 + 6x + 5.[/tex]

I am joyous to assist you at any time.