MATHEMATICS HIGH SCHOOL

Han rolls a standard number cube once.

Whats the sample space?

Answers

Answer 1

Answer:

Answer: {1, 2 , 3, 4, 5,6}

Step-by-step explanation:

A sample space is the set containing all possible outcomes for an event.

Given : Han rolls a standard number cube once.

The possible outcomes for rolling a standard number cube = 1, 2 , 3, 4, 5 ,6

So, the sample space would be = {1, 2 , 3, 4, 5,6}

Hence, the required sample space for Han = {1, 2 , 3, 4, 5,6}

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What is the simplified form of the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n?n = −2
n = 4
n = fraction 1 over 2
n = fraction 2 over 3

Answers

Answer: The correct option is

(C) n = fraction 1 over 2.

Step-by-step explanation: We are to find the simplified form of the fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n.

From the given information, we can write the equation as follows:

$(4)/(5)n-(1)/(5)=(2)/(5)n.$

Solving the above equation, we get

$(4)/(5)n-(1)/(5)=(2)/(5)n\n\n\n\Rightarrow (4)/(5)n-(2)/(5)n=(1)/(5)\n\n\n\Rightarrow (4-2)/(5)n=(1)/(5)\n\n\n\Rightarrow (2)/(5)n=(1)/(5)\n\n\n\Rightarrow n=(5)/(2* 5)\n\n\n\Rightarrow n=(1)/(2).$

Thus, the required simplified form is $n=(1)/(2).$

Option (C) is CORRECT.

4/5n – 1/5 = 2/5n
Add 1/5 to both sides
4/5n = 2/5n + 1/5
Subtract 2/5n from both sides
2/5n = 1/5
Divide both sides by 2/5

n = 1/2

Allentown got 2 feet less than twice the amount of snow Georgetown got . Allentown got 3 feet more snow than Georgetown. How many feet of snow dis Allentown(x) and Georgetown (y) each get

Answers

Answer:

Allentown(x) got 8 feet of snow and Georgetown(y) got 3 feet of snow

Step-by-step explanation:

Allentown got 2 feet less than twice the amount of snow Georgetown got . Allentown got 3 feet more snow than Georgetown.

Allentown = x and Georgetown=y

To solve this we need to represent this information mathematically;

'Allentown got 2 feet less than twice the amount of snow Georgetown got' can be written mathematically as; x = 2y - 2

and

'Allentown got 3 feet more snow than Georgetown' can be mathematically written as x = y + 3

x= 2y - 2 ----------------------(1)

x = y + 3 --------------------------(2)

Subtract equation (2) from equation (1)

[ x-x=0 2y-y = y -2-3=-5]

0 = y - 5

To get the value of y, add 5 to both-side of the equation

0+ 5 = y-5+5

5=y

y=5

Substitute y=5 into equation (2)

x = y+3

x=5+3

x=8

Therefore Allentown(x) got 8 feet of snow and Georgetown(y) got 3 feet of snow

x=2y-2

x=y+3

Substitute the second equation into the first

y+3=2y-2

solve for y

y=5

plug into original

x=y+3=5+3=8 or x=2(5)-2=8

Allentown got 8 ft of snow, Georgetown got 5 ft of snow.

Add. Write your answer in simplest form.

4 6/7 + 3 5/7=____

Answers

First add the fractions.

6/7 + 5/7 = 1 4/7

Then add the whole numbers

4 + 3 = 7

Then add the mixed number to the whole number

7 + 1 4/7 = 8 4/7

Your answer is 8 4/7

Answer:

8 4/7

Step-by-step explanation:

The second term of an arithmetic sequence is -39. The rule a, = a -1 + 12 can be used to find the next term of thesequence. What is the explicit rule for the arithmetic sequence?
a, = -51+12(n-1)
O a = -39+12(n-1)
O a, = 12+(-39)(n-1)
O a = 12+(-51)(n-1)

Answers

Answer:

A. an = -51+12(n-1)

Step-by-step explanation:

edge quiz

The solution is, the explicit rule for the arithmetic sequence is

a n = -51 + ( n - 1 ) · 12 .

What is Arithmetic progression?

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

The nth term of AP : a_n = a + (n – 1) × d

here, we have,

given that,

a 2 = -39

a 2 = a 1 + 12

- 39 = a 1 + 12

a 1 = - 39 - 12

a 1 = - 51 ( first term )

The common difference is : d = 12

The explicit rule for the arithmetic sequence:

a n = a1 + ( n - 1 ) d

a n = -51 + ( n - 1 ) · 12

Hence, The solution is, the explicit rule for the arithmetic sequence is

a n = -51 + ( n - 1 ) · 12 .

To lean more on Arithmetic progression click:

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What is the squiggly line above the equal sign

Answers

if u are talking about triangles it would mean "congruent to"
example: ABC =~ DEF

Answer: it's congruent to

Step-by-step explanation:

What is the value of y in the equation 6.4x 2.8y = 44.4, when x = 3? user: what is the value of x in the equation x �� y = 30, when y = 15? 4 8 80 200