what is the probability that the card drawn from a stack of 52 cards is a face card or a black card?​

Answer:

[tex] LCM = 70a^2b [/tex]

Step-by-step explanation:

The LCM of [tex] 10a^2, 35ab, 14b [/tex], is the smallest expression of which each of the algebraic expression in the given set is divisible by it.

To find the LCM, follow these steps:

Step 1: Express each of the algebraic expressions in as product of its factors

[tex] 10a^2 = 2*5*a^2 [/tex]

[tex] 35ab = 5*7*a*b [/tex]

[tex] 14b = 2*7*b [/tex]

Step 2: Find the product of  each factors with the highest power

[tex] LCM = 2*5*7*a^2*b [/tex]

[tex] LCM = 70a^2b [/tex]

Answer:

y + 5 = (-13/4)(x - 3)

Step-by-step explanation:

Going from (-1, 8) to (3, -5), x (the 'run') increases by 4 and y (the 'rise') decreases by 13.  Thus, the slope of the desired line is m = rise / run = -13/4.

The point-slope formula is

y - k = m(x - h), and here m = -13/4, k = -5 and h = 3:

y + 5 = (-13/4)(x - 3)

Answer:

9.22

Step-by-step explanation:

The calculation of z is shown below:-

Given that

2x-4y+4z-6w=4 .... (1)

6w-4x+4y-4z=-12 ..... (2)

6w+4x-2y+6z=64 ...... (3)

4z+2w+6y-4x=56 .... (4)

Here we need to decrease the equations with the help of canceling out a few variables.

Now we need to add equations 1 and 2 that is

(2x - 4x) + (-4y + 4y) + (4z - 4z) + (-6w + 6w) = 4 + 12

Now we solve the above equation

-2x + 0 = 16

-2x = 16

x = -8

Now, equation 2 minus 3

6w - 6w + (-4x - 4x) + 4y + 2y + (-4z - 6z) = 12 - 64

-8x + 6y - 10z = -52

Now we will put the value of x

-8(-8) + 6y - 10z = -52

64 + 6y - 10z = -52

6y - 10z  = -52 - 64

6y - 10z = -116

3y - 5z = -58 ... 5

Equation 3 × 1 and equation 4 × 3

6w + 4x - 2y + 6z = 64 ..... (3)

4z + 2w + 6y - 4x = 56 .... (4)

6w + 4x - 2y + 6z = 64

12z + 6w + 18y - 12x = 168

Now we will subtract both equations that are

16x - 20y - 6z = -104

8x - 10y - 3z = -52

8(-8) - 10y - 3z = -52

-64 - 10y - 3z = -52

-10y - 3z = -52 + 64

-10y - 3z = 12 ....... (6)

equating 5 and 6 and solving that is

3y - 5z = -58 ... 5 × 10

-10y - 3z = 12 ....... 6 × 3

30y - 50z = -580

-30y - 9z = 36

we will add both equation

-50z - 9z = -580 + 36

-59z = -544

z = -544 ÷ -59

After solving z value we will get

= 9.22

Answer:

x < 2

Step-by-step explanation:

We are given the inequality:

[tex]6x < 12[/tex]

We want to solve for x. We must isolate x on one side of the inequality.

x is being multiplied by 6. The inverse of multiplication is division. Divide both sides of the inequality by 6.

[tex]6x/6 < 12/6[/tex]

[tex]x< 12/6[/tex]

[tex]x<2[/tex]

For the values of x where x<2, the inequality 6x < 12 is true.

Answer:

-3/5

Step-by-step explanation:

To find slope we use the formula, slope = (y2-y1)/(x2-x1)

We let (3,5) be the first point so, x1 = 3 and y1 = 5

We let (8,2) be the second point so, x2 = 8 and y2 = 2

Now we plug it in the formula,

slope =  (2-5)/(8-3) = -3/5

Answer:

49 -- No. 71 U.S. Naval Base, Guantanamo Bay, Cuba Wednesday, June 23, 1993 ... them while developing possible options for the future fo the Gen URL Community. ... The Independence Day from the fall of 1993 to the Throughout the day, after ... *MARS Station. ... Add 40 to original temperature (F or C, doesn't matter). 2.

Answer:

49 -- No. 71 U.S. Naval Base, Guantanamo Bay

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

(14-2^3)

PEMDAS

Parentheses first

We need to follow PEMDAS inside the parentheses

Since there are no parentheses in side the parentheses, we do expoents

14 - 8

Then subtract

6

The order matters.

You have to follow the order of operations

Answer:

6

Step-by-step explanation:

use PEMDAS - (parentheses - exponents) -- (multiplication - division) -- (addition - subtraction)

PE, MD, and AS are interchangeable within their pairs. that means you can do multiplication or division first, or addition after subtraction. however, you cannot do addition/subtraction before multiplication/division.

since the exponent is within the parentheses, solve it first

= (14 - 2³)

= (14 - 8)

= 6

Answer:

$8.40 tip and $56 bill = $64.40 (including tip)

Step-by-step explanation:

15% of 56 is 56*0.15 = 8.4 tip

Answer:

A. −8 + 0 = -8

B. 1 × (−14) = -14

C. 19 ÷ 1 = 19

D. 0 × 104 = 0

E. −21 − 0 = 0

Step-by-step explanation:

Anything times or divided by 1 equals the other number that is not 1.

Example 1: 2,999 x 1 = 2,999

Example 2: 2,999 ÷ 1 = 2,999

Anythings times or divided by 0 is 0.

Example 1: 2,999 x 0 = 0

Example 2: 2,999 ÷ 0 = 0

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Answer: The total cost of the gas before it was split among the friends.

Explanation: If they split it equally, they divide. 3g is divided by 4 so you know that there are 4 friends/people.

Since they are splitting the [total] amount of gas for 4 people, 3g must be the total cost of the gas.

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Answer:

c

Step-by-step explanation:

i took the quiz

Answer:

Where is the plobem

Step-by-step explanation:

Follow me // i'm Followback you

Answer:

The probability that a skid of 50 DVD players will contain at least 3 defective units is 0.9487.

Step-by-step explanation:

We are given that Avery and Bradly work at a large electronics manufacturer that produces DVD players. The defective rate on the assembly line has gone up 12% and a skid of 50 DVD players has been selected by the manager.

Let X = Number of defective units of DVD players

The above situation can be represented through the binomial distribution;

[tex]P(X = r) = \binom{n}{r}\times p^{2} \times (1-p)^{n-r}; x= 0,1,2,3,....[/tex]

where, n = number of samples (trials) taken = 50 DVD players

            r = number of success = at least 3 defective units

           p = probability of success which in our question is the probability

                 of defective rate, i.e; p = 12%

So, X ~ Binom(n = 50, p = 0.12)

Now, the probability that a skid of 50 DVD players will contain at least 3 defective units is given by = P(X [tex]\geq[/tex] 3)

P(X [tex]\geq[/tex] 3) = 1 - P(X = 0) - P(X = 1) - P(X = 2)

= [tex]1 - [ \binom{50}{0}\times 0.12^{0} \times (1-0.12)^{50-0}]-[ \binom{50}{1}\times 0.12^{1} \times (1-0.12)^{50-1}]-[ \binom{50}{2}\times 0.12^{2} \times (1-0.12)^{50-2}][/tex]

= [tex]1 - [ 1 \times 1 \times 0.88^{50}]-[50 \times 0.12^{1} \times 0.88^{49}]-[ 1225 \times 0.12^{2} \times 0.88^{48}][/tex]

= 0.9487

Hence, the probability that a skid of 50 DVD players will contain at least 3 defective units is 0.9487.

Answer:

That ratio : 21 : 5

21 : 5 -> (21/21) : (5/21)

5/21 = 0.2 by rounding by tenth

Step-by-step explanation:

Answer:

x = 19, y = 1

Step-by-step explanation:

f(x) = 5(x + 4) - 6

y = 5(x + 4) - 6

inverse function:

switch x and y

x = 5(y + 4) - 6

solve for y

x = 5y + 20 - 6

x = 5y + 14

x - 5y = 14

-5y = -x + 14

y = (-x + 14)/-5

y = 1/5x - 2.8

plug 19 in for x

y = 1/5(19) - 2.8

y = 3.8 - 2.8

y = 1

Hi there! Hopefully this helps!

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[tex]2e = 2[/tex]

Divide both sides by 2.

[tex]e = \frac{2}{2}[/tex]

Answer:

The square of a negative number is a positive number as 2 negatives cancel when multiplied.

In this case the negative sign stays as is because it is not affected by a square.

Answer:

Hey there!

There aren't any options, but the correct answer would be 2 6/8, which simplifies to 2 3/4.

Let me know if this helps :)

22/8

8 goes into 22 twice:

8 x 2 = 16

22-16 = 6

22/8 = 2 6/8

6/8 can reduce to 3/4

22/8 = 2 3/4

Answer:

The dimensions of the park is 18yd by 18yd

Step-by-step explanation:

A square-shaped park has an area of 324 yd.

A square is composed of equal length dimensions so if the area is 324 yd² ,the dimensions or length if one side of the square will be the root of 324 yd².

Length= √324

Length= 18 yd

Dimensions of the park is 18 yd by 18 yd

The dimensions of the park is 18yd by 18yd

Given that,

Based on the above information, the calculation is as follows:

 [tex]Length= \sqrt 324[/tex]

= 18 yd

Therefore, Dimensions of the park is 18 yd by 18 yd

Learn more: https://brainly.com/question/1691136?referrer=searchResults

Answer:

53/82

Step-by-step explanation:

Answer:

13/41 + 27/82

We reduce to the same denominator.

The common denominator is 82

=(13×2)/(41×2) + 27/82

= 26/82 + 27/82

to calculate the sum of two fractions that have the same denominator, just add the numerators between them .

= 53/82

Answer:

The value of [tex]x(y-z)^2[/tex] is -16.

Step-by-step explanation:

We need to evaluate [tex]x(y-z)^2[/tex] for x = -1, y = 5 and let us assume that z = 1

It can be simply done by putting the values of x,y and z in the given expression.

[tex]x(y-z)^2=(-1)(5-1)^2\\\\=-1(4)^2[/tex]

We know that the value of 4² = 16

So,

[tex]x(y-z)^2=16\times -1\\\\=-16[/tex]

So, the value of [tex]x(y-z)^2[/tex] is -16.

Answer:

19.8

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

When we find the values of questions like this, we have to remember to use "PEMDAS".

Because multiplication comes before addition, we have to multiply first.

(Since there are two multiplication parts in the question, we start off by the first one.)

When we multiply both parts, we'll get:

[tex](18)+(8)[/tex], which equals to 26.

So, your answer is 26.

Answer:

2     : 3

Step-by-step explanation:

8 skirts : 12  jeans

Divide each side by 4

8/4  : 12/4

2     : 3

Answer: 8:12

Step-by-step explanation:

Answer:

6+2=8

3×2+2=

6+2=8

good luck

Answer: x+y>5 or (x+y)-5

Step-by-step explanation:

There are two potential ways of writing five less than the sum of x and y. You can use an expression or an inequality.

Inequality

By using an inequality, we would use the less than sign because 5 is less than the sum of x and y.

5<x+y

We can also write it where the variables are on the left side, which is usually preferred.

x+y>5

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Expression

For an expression, we would basically write an equation, but without the equals sign.

(x+y)-5

Since 5 is less than the sum of x and y, we would subtract 5 from x+y. We don't necessarily need to put parentheses around x+y since the order of operations tells us to add or subtract from left to right in order. It is still good to be specific, saying that it is the sum of x and y.

Answer:

$1060

Step-by-step explanation:

as the average amount of DVD and digital camera is $925 so the television cost:

$1985-$925

=$1060

Answer:

D. 36ft

Step-by-step explanation:

Answer:

the real answer is 24 :)

Step-by-step explanation:

Answer:

  2^7 × 5^5

Step-by-step explanation:

10 = 2×5, so your product is ...

  5^3 × 2^5 × (2×5)^2

  = 5^3 × 2^5 ×2^2 ×5^2

  = 2^7 × 5^5

_____

If you remember that the exponent tells you how many times the base is a factor of the product, you should have no trouble with this.

  5^3 × 2^5 × 10^2 = (5·5·5)(2·2·2·2·2)(2·5)(2·5) = 2^7 × 5^5

Step-by-step explanation:

One side of a triangle is 9 cm and other side is 37 cm. We need to find what could be the length of the third side of the triangle.

If we add one and other side i.e. 9 cm + 37 cm = 46 cm

If we subtract one and other side i.e. 37 cm - 9 cm = 28 cm

We know that, the length of the third side must be less than the sum of the other two sides and greater than the difference between the other two sides.

Thus, the third side could be between 46 cm and 28 cm.

Answer:

B. c= -c+2

Step-by-step explanation:

A. ...................

It has infinitely many solutions as the equation is correct for any value of c.

B. ...................

It has one solution only

C. ...................

It has no solution as this equation is incorrect

D. ...................

It has no solution as this equation is incorrect