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3 years ago

A single die is rolled on time. Find the probability of rollung a number greater than 5 or less than 4

Mathematics

1 answer:

suter [353]3 years ago

7 0

Answer:

$\dfrac{2}{3}$

Step-by-step explanation:

A single die is rolled on time.

All possible outcomes are $1,2,3,4,5,6$ (6 in total)

Rolling a number greater than 5 or less than 4 means rolling numbers $6$ or $1,2,3$ so

All favorable outcomes are $1,2,3,6$ (4 in total)

The probability of rolling a number greater than 5 or less than 4 is

$P=\dfrac{\text{Number of all favorable outcomes }}{\text{Number of all possible outcomes}}\\ \\=\dfrac{4}{6}\\ \\=\dfrac{2}{3}$

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PLEASE HELP !!!!!Factor 16x2 - 6x - 7.

Trava [24]

Answer:

Step-by-step explanation:

Here you go mate

Step 1

16x^2-6x-7 Question

Step 2

16x^2-6x-7 Factor

answer

(2x+1)(8x-7)

6 0

3 years ago

Samuel is solving the equation 3(x - 1) + 4 = 2 - (x + 3). Which equivalent equations might Samuel use? Select the TWO correct a

mote1985 [20]

A= 3, and 4. (c & d)

1. Solve the Equation: $3(x - 1) + 4 = 2 - (x + 3)\\$ , to get

------------------------------------------

1a. Use the distributive property to multiply 3 by x−1.

$3x−3+4=2−(x+3)$

1b. Add −3 and 4 to get 1.

$3x+1=2−(x+3)$

1c. To find the opposite of x+3, find the opposite of each term.

$3x+1=2−x−3$

1d. Subtract 3 from 2 to get −1.

$3x+1=−1−x$

1e. Add x to both sides.

$3x+1+x=−1$

1f. Combine 3x and x to get 4x.

$4x+1=−1$

1g. Subtract 1 from both sides.

$4x=−1−1$

1h. Subtract 1 from −1 to get −2.

$4x=−2$

1i. Divide both sides by 4.

$x=4−2$

1j. Reduce the fraction 4−2=−0.5 to lowest terms by extracting and canceling out 2.

$x=−21$ or x = -21

-------------------------------------

Now that you know the answers, solve the others:

2. A= 1, so this is wrong. How I solved it is shown below:

-----------------------------------

1a. Add −3 and 4 to get 1.

3x+1=2−x+3

1b. Add 2 and 3 to get 5.

3x+1=5−x

1c. Add x to both sides.

3x+1+x=5

1d. Combine 3x and x to get 4x.

4x+1=5

1e. Subtract 1 from both sides.

4x=5−1

1f. Subtract 1 from 5 to get 4.

4x=4

1g.Divide both sides by 4.

x=44

1h. Divide 4 by 4 to get 1.

x=1

----------------------------

3. A= .5, so it is Correct. Work below

-----------------------------

3a. Add x to both sides.

$3x+3+x=5$

3b. Combine 3x and x to get 4x.

$4x+3=5$

3c. Subtract 3 from both sides.

$4x=5−3$

3d. Subtract 3 from 5 to get 2.

$4x=2$

3e. Divide both sides by 4.

$x=42$

3f. Reduce the fraction 42=0.5 to lowest terms by extracting and canceling out 2.

$x=21$ (A = 1/2 or .5)

-----------------------------

4. A= .5, so it is correct. Work below. Now we have our 2, so we don't need to do it again.

-------------------------------

4a. Add −1 and 4 to get 3.

$3x+3=2−x+3$

4b. Add 2 and 3 to get 5.

$3x+3=5−x$

4c. Add x to both sides.

$3x+3+x=5$

4d. Combine 3x and x to get 4x.

$4x+3=5$

4e. Subtract 3 from both sides.

$4x=5−3$

4f. Subtract 3 from 5 to get 2.

$4x=2$

4g. Divide both sides by 4.

$x=\frac{2}{4}$

4h. Reduce the fraction 42=0.5 to lowest terms by extracting and canceling out 2.

$x=\frac{1}{2}$

7 0

3 years ago

Carl collects coins compulsively, but he only likes quarters ($0.25) and dimes ($0.10). Carl currently has 125 coins for a total

Bogdan [553]

Answer:

Carl has 35 dimes and 90 quarters

Step-by-step explanation:

Let the number of quarters be q and the number of dimes be d

Total number of coins is 125;

Hence;

q + d = 125 •••••••••(i)

The total value of quarters present = q * 0.25 = 0.25q

The total value of dimes present = d * 0.1 = 0.1d

Adding both gives the total

0.25q + 0.1d =26 ••••••••(ii)

So we need to solve both equations simultaneously;

From i,

q = 125 - d

Substitute this into ii

0.25(125-d) + 0.1d = 26

31.25 -0.25d + 0.1d = 26

31.25 -26 = 0.25d -0.1d

5.25 = 0.15d

d = 5.25/0.15

d = 35

Recall; q = 125 - d = 125 -35 = 90

7 0

3 years ago

#3 The sales tax on a $20 shirt was 9%.

saveliy_v [14]

Answer:

Step-by-step explanation:

sales tax on the shirt= 20(0.09)=1.8 dollars

total cost with sales tax =20+20(0.09)=21.8$

3 0

3 years ago

12345 [234]

Answer: $28.35\ minutes$

Step-by-step explanation:

Let be "x" the time in minutes a 150-pound person must walk at 4 mph to use at least 190 calories.

The amount of calories that a 150-pound person uses in 1 minute when walking at a speed of 4 mph is:

$Calories\ per\ minute=6.7$

Therefore, knowing this, we can write the following proportion:

$\frac{1}{6.7}=\frac{x}{190}$

Finally, we must solve for "x" in order to find its value.

Multiplying both sides of the equation by 190, we get this result:

$(190)(\frac{1}{6.7})=(\frac{x}{190})(190)\\\\x=28.35$

3 0

3 years ago

A single die is rolled on time. Find the probability of rollung a number greater than 5 or less than 4​

A single die is rolled on time. Find the probability of rollung a number greater than 5 or less than 4