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3 years ago

You flip a coin and roll a six-sided die. How many possible outcomes are in the sample space?

2 answers:

7 0

1: heads or tails (2 possibilities)
2: 1, 2, 3, 4, 5, 6 (6 possibilities)

6 * 2 = 12 outcomes

{1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T}

Artyom0805 [142]3 years ago

6 0

Answer:

There are two outcomes for the coin because it has two sides and there six outcomes for the dice because it has 6 sides.

Step-by-step explanation:

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32) Out of 525 people surveyed, 210 answered yes. Estimate how many people would answer yes if 900

allsm [11]

Answer:

360 people

Step-by-step explanation:

$\frac{ 210}{525}*900$ $=360$

Hope this helped! :)

8 0

2 years ago

The image of trapezoid ABCD has coordinates A'(-2,-5), B'(-1, -2), C'(2,-2), and D'(3,-5). It was translated by the

dolphi86 [110]

Answer:

Step-by-step explanation:

JUST TOOK THE TEST

7 0

3 years ago

Read 2 more answers

What is the coefficient of the x5y5-term in the binomial expansion of (2x – 3y)10? 10C5(2)5(3)5 10C5(2)5(–3)5 –10C5(2)5(–3)5 10C

butalik [34]

ANSWER

$10C_5(2)^{5}( - 3)^5$

EXPLANATION

The given binomial expansion is:

${(2x - 3y)}^{10}$

Compare this to

${(a + b)}^{n}$

we have a=2x , b=-3y and n=10

We want to find the coefficient of the term

${x}^{5} {y}^{5}$

This implies that, r=5.

The terms in the expansion can be obtained using

$T_{r+1}=nC_ra^{n-r}b^r$

We substitute the given values to obtain;

$T_{5+1}=10C_5(2x)^{10-5}( - 3y)^5$

$T_{6}=10C_5(2x)^{5}(3y)^5$

$T_{6}=10C_5(2)^{5}( - 3)^5 {x}^{5} {y}^{5}$

Hence the coefficient is;

$10C_5(2)^{5}( - 3)^5$

5 0

4 years ago

Read 2 more answers

A village was founded four hundred years ago by a group of 20 people. In this village, the population triples every one hundred

Paha777 [63]

Answer:

Step-by-step explanation:

Treat this like compound interest: Use A = P(1 + r)^t.

Here, P is the initial population and A is 3 times that, or 3P. Since P = 20 people, 3P = 60 people,

and this population is reached after 100 years.

We need to determine r, substitute its value into the formula A = P(1 + r)^t, and then determine the population of the village after 400 years.

60 = 20(1 + r)^100

Simplifying, 3 = (1 + r)^100.

Taking the natural log of both sides,

ln 3 = 100 ln (1 + r), or

ln 3

ln (1 + r) = ---------------

100

= 1.0986 / 100 = 0.01986

We must solve this for r. Raising e to the power ln (1 + r), on the left side of an equation, and raising e to the power 0. 01986 on the right side, we get:

1 + r = 3, so r must = 2.

Now find the pop of the village today. Use the same equation: A = P (1+r)^t.

A = 20(1 +2)^4 (hundreds),

A = 20(3)^4, or

A = 81

The population after 400 years is 81.

8 0

3 years ago

Divide 3 1/3 by 2/3 bbbbbbbb

iris [78.8K]

Answer:

jgjhi

Step-by-step explanation:

vbnhjkui

5 0

3 years ago

You flip a coin and roll a six-sided die. How many possible outcomes are in the sample space?​

You flip a coin and roll a six-sided die. How many possible outcomes are in the sample space?