Nick randomly selects a digit from the set { 0 , 1 , 2 , . . . , 9 } and a letter from the set { A, B, C, . . ., Z } . Matthew will try to guess both the digit and the letter. Which expression gives the probability that Matthew will incorrectly guess both the digit and the letter?

Answers

Answer 1
Answer:

Answer: 259/260 or 0.99615 (depending on which answer format your teacher wants)

There are 10 numbers in the set {0, 1, 2, ..., 9}. There are 26 letters in the set {A, B, C, ..., Z}. Multiply those values: 10*26 = 260. So there are 260 ways to pick a number followed by a letter. One example is 7P.

There is only one way Matthew can get the correct answer, and there are 260 - 1 = 259 ways to get the wrong answer. We divide 259 over 260 to get the probability of getting the incorrect answer, which is 259/260.

If you need this fraction in decimal form, then use a calculator to find that 259/260 = 0.99615 approximately


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Gabriella wants to tile a room with an area of 320 square feet. The width of the room is 4/5 its length. What are the length and width of the room?

Answers

lenght - a
width - b
Area= a*b
320=ab
b=4/5a
320=4a^(2)/5
400=a^(2)
a=√(400)
a=20
b=16

Answer:

Read below.

Step-by-step explanation:

A=l*w

320=l*(4/5)l

320=(4/5)(l2)

(5/4)(320)=(5/4)(4/5)(l2)

5(80)=l2   (320/4=80)

400=l2

√400=√l2

20=l

w=(4/5)(20)

w=4*4  (20/5=4)

w=16

length=20 feet

width=16 feet

If you don't understand square roots, maybe you understand prime factorization.

320=2*2*2*2*2*2*5=(2*2*2*2)*(2*2*5)=16*20 and 16 is 4/5 of 20

If you don't understand prime factorization you can use trial and error.

2*160

4*80

5*64

8*40

10*32

16*20  answer, because 16 is 4/5 or 0.8 times 20

If 2/3 y = 1/4 then y = ?

Answers

Answer:

3/8

Step-by-step explanation:

2/3 * y = 1/4

divide by 2/3 on both sides

y = (1/4) / (2/3)

y = 3/8

$36 for 4 pounds of shrimp as a unit rate

Answers

Answer:

$9/ per pound of shrimp

Step-by-step explanation:

Answer: $9  per pound

Step-by-step explanation:

The unit rate is the amount of money per pound of shrimp.

Divide the money by the number shrimp to find the unit rate.

36 / 4 = 9

The unit rate is $9  per pound.

3. (First picture answer options are the 4 graphs after it.)

Answers

Answer:

The correct graph is attached below.

Step-by-step explanation:

Given:

Initial temperature is 0°.

Decrease in temperature per hour is 12°.

Since, the initial temperature is 0°, the line must pass through the origin as temperature is plotted along the y-axis.

Also, decrease in temperature per hour is 12°. So, this represents the slope of the line. So, the slope should be -12 as there is decrease in temperature with increasing time.

So, the correct graph will be a line passing through origin and the slope of the line must be -12. Also, the temperatures will be along the negative y-axis as the values are decreasing with time.

Hence, the third graph is the correct one and is shown below.

18 is 20℅ of what of number?

Answers

18 is 20% of 90 

Change the percentage into a decimal by dividing it over 100:
(20)/(100) = 0.2

Divide 18 by 0.2:
(18)/(0.2) = 90
18 is 20% of 90.
18/90= 0.2 OR 20%

Factor completely x2 − 12x + 36.

Answers

Answer:

(x-6)^(2)

Answer:

(x -6) (x -6) or (x -6)^2

Step-by-step explanation:

Given :     x^2 − 12x + 36

since the leading coefficent for this equation is 1, we take 36 and find 2 factors that 36 has, and also adds up to -12. That would be  -6, and -6 because -6 + -6 = -12 AND -6 x -6 = 36 , therefore -6 and -6 are the numbers we are looking for. Which makes this the anwer:

(x -6) (x -6) or (x -6)^2

If you don't understand how I got my answer, you can watch this video:

https://youtu.be/-4jANGlJRSY

make sure to copy it, and paste it in your search bar.