Translate the sentence into an equation.

The sum of 5 times a number and 2 is 7.

Use the variable y for the unknown number.

Part A

We have 20 cards, 4 of which are kings (one of each suit). The probability of getting a king on the first draw is 4/20 = 1/5.

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Part B

We have 20-4 = 16 cards that aren't a king out of 20 total.

The probability of getting a non-king card is 16/20 = 4/5

After selecting the first card and not putting it back, we have 20-1 = 19 cards left. Four of which are a king, so 4/19 represents the probability of getting a king on this draw.

So (4/5)*(4/19) = 16/95 is the probability of getting a king on the second draw where the first draw is not a king.

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Part C

16/20 is the probability of getting no kings on the first draw

15/19 is the probability of getting no kings on the second draw (notice I stepped the values down by 1)

14/18 is the probability of getting no kings on the third draw

Multiplying out the fractions gives

(16/20)*(15/19)*(14/18) = 28/57

I skipped a few steps when multiplying the fractions but you get the idea.

The probability of drawing 3 cards, none of which are a king, is 28/57

Subtract this from 1 to get the complementary probability

1-(28/57) = 57/57 - 28/57 = (57-28)/57 = 29/57

This works because we have two choices: either we get no kings, or we get at least one king. So that's why the two events are complementary and their probabilities add to 1.

Answer:

n/2 = # of trumpet players

Step-by-step explanation:

Randi earn $24,300 next year.

Here,

Given that;

Two years ago Randi earned $18,400. last year she earned $19,700.

And, she earns $21,600 this year.

The average of four year is $21,000

We have to find, the amount she earn in next year.

What is Average?

A number that is calculated by adding quantities together and dividing the total by the number of quantities.

Now,

Let she earn $ x in next year.

The average of four year is $21,000.

Hence, Average of money for four year is;

[tex]\frac{18,400+19,700+21,600+x}{4} = 21,000[/tex]

[tex]59,700 + x = 84,000[/tex]

[tex]x = 24,300[/tex]

So, She earn $24,300 in next year.

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Step-by-step explanation:

the correct answer is not a polynomial

Answer:

cos(3π) is 0.986 which rounds to 1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

edge 2020

Answer:

the answer is d y=2

_ x

11

Step-by-step explanation:

I got it right on the test

2/11 is lower than 2/9, therefore the equation that will represent a lower unit rate (k) of both relationships given is: D. y=2/11

A proportional relationship between variable y and x can be expressed as:

y = kx

k is the unit rate/constant of proportionality.

k = y/x

Thus, find the equation for the table and the graph respectively in order to determine which equation represents the lower unit rate.

Equation for the table using a pair of coordinates, say (11, 2):

Find, unit rate (k) by substituting x = 11, and y = 2 into k = y/x

k = 2/11

Plug in the value of k = 2/11 into y = kx

The equation for the table is:

y = 2/11x

Equation for the graph using a point on the line, say (9, 2):

Find, unit rate (k) by substituting x = 9, and y = 2 into k = y/x

k = 2/9

Plug in the value of k = 2/9 into y = kx

y = 2/9x

In conclusion, 2/11 is lower than 2/9, therefore the equation that will represent a lower unit rate (k) of both relationships given is: D. y=2/11

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Answer:

Slope equals 1 1/2

Answer:

3/2 i think

Step-by-step explanation:

Answer:

2.375 or 2 3/8

Step-by-step explanation:

You want to do total weight over total number of items.

14 1/4 / 6 books = 2.375

Answer:

14.25 / 6 = 2.375 or 2 3/8

Answer:

Lea swam 14 laps.

Step-by-step explanation:

8+6=14

Answer:

The general rule for estimating is to look at the digit to the right of the digit you want to estimate. Estimating or rounding to the nearest whole number means looking at the digit to the right of the decimal. If you see a digit greater than 5, round up, and if it's less than 5, round down.

Step-by-step explanation:

Answer:

Planet D

Step-by-step explanation:

1.5*10^9 = 1,500,000,000

1.07*10^8 = 107,000,000

5.7*10^7 = 57,000,000

2.29*10^6 = 2,290,000

It has the least amount.

Answer:

Planet C

Step-by-step explanation:

1.5 x 10e9 = 1.5 billion

1.07 x 10e8 = 107 million

5.7 x 10e7 = 57 million

2.29 x 10e8 = 229 million

Answer:

The slope of the line would be 1

(4-1)/(6-3)= 1

Answer:

Do you mean this 100000000* 300000000*650000*(-200)*100-100000000 if so the answer is -3.9E26

Step-by-step explanation:

Remove the parentheses from the (-200)

Multiply the numbers 100000000*300000000*650000*200*100

= -3.9E26-100000000

Subtract the numbers -3.9E26-100000000

= -3.9E26

Answer:

Jon can make 9 pancakes.

Step-by-step explanation:

first add the milk and flour volumes and gives you 1 1/2. After that divide that by 1/6 which gives you 9 so Jon can make 9 pancakes.

Answer:

4k^2 + 14k - 8

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ÷)

Step-by-step explanation:

T1=a

T2=ar

r=T2÷T1

r=--18÷6

r=-3

T11=ar^10

T11=6×-3^10

T11=-354294

Answer:

354294

Step-by-step explanation:

a11=6*(-3)10=354294

Answer:it’s c

Step-by-step explanation:

Because it’s 146%

Answer:

2cm

Step-by-step explanation:

to get the radius u divide the diameter by 2

hope this is correct and helps

Step-by-step explanation:

Hey there!

Answer is 2cm.

Reason:

Diameter is given = 4 cm

Radius = d/2

= 4/2 = 2cm.

Hope it helps..

Answer:

$1,054

Step-by-step explanation:

i dont have explination pls dont remind me

Answer:

y=-1

Step-by-step explanation:

Answer:

18 inches

Step-by-step explanation:

5x12=60

60-42=18

18 inches is the correct answer

Answer:

Distance between the points Q and R is 1 unit while the distance between the points R and S is 3 units

Step-by-step explanation:

Here, we want to use the absolute value of the coordinates to find the distances.

Since we are using absolute values, the negative points becomes positive;

Thus;

Q = (4,2)

R = (3,2)

S = (3,5)

Mathematically, the distance between two points in the Cartesian plane can be calculated using the formula;

D = √(x2-x1)^2 + (y2-y1)^2

The distance QR is thus;

D = √(3-4)^2 + (2-2)^2

D = √(-1)^2 + 0

D = √1 = 1 unit

The distance RS is thus;

D = √(3-3)^2 + (5-2)^2

D = √(0) + (9)

D = √9 = 3 units

Answer:

C

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

f(x + 3) = f(x) + f(5)    (Given) so:

f(2 + 3) = f(2) + f(5)

and f(2) = f(2 + 3)  - f(5)

= f(5) - f(5) = 0.

f(-1) = f(-1 +3) - f(5)

= f(2) - f(5)

= f(-3)

So - f(-1) = f(3)

Also:

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

= f(x + 3 - x)

= f(3).

But f(3) = -f(-1)  ( shown above),

So f(5) = -f(-1).

Let the missing number be x .

Then :-

[tex]4(11 + 7) = x + 28[/tex]

[tex]4 \times 18 = x + 28[/tex]

[tex]72 = x + 28[/tex]

[tex]x + 28 = 72[/tex]

[tex]x = 72 - 28[/tex]

[tex]x = 44[/tex]

Therefore , 4 ( 11 + 7 ) = 44 + 28 .