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3 years ago

Two 6-sided dice are tossed simultaneously. what is the probability of the total being equal to 9?

1 answer:

3 0

Total number of outcomes = 36

Number of outcomes with total being 9 = 4
(6, 3) (5,4), (4, 5) (3, 6)

P(equal to 9) = 4/36 = 1/9

Answer: 1/9 (Answer A)

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The ratio of men to women in a room is 3:4. Eight women enter the room, no men enter the room and none of the original people in

vampirchik [111]

There are 64 people in the room.

Since the ratio for women increases 1 when 8 women enter the room, for every time there is 1 in the ratio there are 8 people. That means that originally you have to do 3x8 and 4x8. You get 24 and 32 which equals 56. Then when 8 more women enter the room, you get 64.

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2 years ago

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Given the geometric sequence where a1=1 and the common ratio is 6, what is the domain for n?

kari74 [83]

We have been given that a geometric sequence's 1st term is equal to 1 and the common ratio is 6. We are asked to find the domain for n.

We know that a geometric sequence is in form $a_n=a_1(r)^{n-1}$ , where,

$a_n$ = nth term of sequence,

$a_1$ = 1st term of sequence,

r = Common ratio,

n = Number of terms in a sequence.

Upon substituting our given values in geometric sequence formula, we will get:

$a_n=1\cdot (7)^{n-1}$

Our sequence is defined for all integers such that n is greater than or equal to 1.

Therefore, domain for n is all integers, where $n\geq 1$ .

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3 years ago

Marcus needs 3 1/10 m of blue fabric and 1 1/5 m of yellow fabric to make his costume. How much more blue fabric than yellow fab

Kamila [148]

Answer:

$1\frac{9}{10}\ m$

Step-by-step explanation:

we know that

To find out how much more blue fabric than yellow fabric does Marcus need, subtract the quantity of yellow fabric from the quantity of blue fabric

step 1

Convert mixed number to an improper fraction

$3\frac{1}{10}\ m=\frac{3*10+1}{10}=\frac{31}{10}\ m$

$1\frac{1}{5}\ m=\frac{1*5+1}{5}=\frac{6}{5}\ m$

step 2

Subtract the numbers

$\frac{31}{10}-\frac{6}{5}=\frac{31}{10}-\frac{12}{10}=\frac{19}{10}\ m$

Convert to mixed number

$\frac{19}{10}\ m=\frac{10}{10}+\frac{9}{10}=1\frac{9}{10}\ m$

7 0

2 years ago

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What is the slope of the graph?

VMariaS [17]

<u>Given</u>:

Given that an aquarium is being filled with water.

The given graph shows the height of the water over time as the aquarium is being filled.

We need to determine the slope of the graph.

<u>Slope</u>:

The slope of the given graph can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Since, the slope is same for all the points on the straight line, then let us consider the points (2,5) and (4,10)

Substituting these points in the above formula, we get;

$m=\frac{10-5}{4-2}$

Simplifying, we get;

$m=\frac{5}{2}$

$m=2.5$

Thus, the slope of the given graph is 2.5

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3 years ago

Calculate the surface area of an open cuboid which is 12 cm long,8cm wide,6cm high

Vsevolod [243]

Answer:

432 cm²

Step-by-step explanation:

To find the surface area of a cuboid, there is a formula.

2lw+2lh+2hw

Length is l, height is h, and width is w.

2(12)(8)+2(12)(6)+2(6)(8)

Multiply all the terms.

336+96

Add both the terms.

= 432

The surface area of the open cuboid is 432cm².

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3 years ago

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