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Bingel [31]
1 year ago
12

When flipping a fair coin 4 times in a row, which outcome is more likely: HTHT or HHHH.

Mathematics
1 answer:
Vlad1618 [11]1 year ago
3 0

Answer:

See below

Step-by-step explanation:

equal probability    each occurs 1 time out of 16 possibilities

tttt

ttth

ttht

tthh

thtt

thth

thhh

httt

htth

thth

<u>htht</u>

hthh

hhtt

hhth

hhht

<u>hhhh</u>

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What is the domain and range of the set of ordered pairs?​
Delvig [45]

Answer:

D) would be the answer

Step-by-step explanation:

Domain is always the set of x-coordinates in the pairs and the range is always the set of y-coordinates in the pairs.

D: 7, -2, 4, -9, 0

R: 3, -2, 1, 0, 7

Put them in order from least to greatest.

D: -9, -2, 0, 4, 7

R: -2, 0, 1, 3, 7

5 0
3 years ago
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3 years ago
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A car dealership sells 0, 1, or 2 luxury cars on any day. When selling a car, the dealer also tries to persuade the customer to
melisa1 [442]

Answer:

Mean = 1.42

Variance = 0.58

Step-by-step explanation:

Given: X denote the number of luxury cars sold in a given day, and Y denote the number of extended warranties sold.

Also, joint probability function of X and Y are given.

To find:

mean and variance of X

Solution:

From the given joint probability function of X and Y,

P(X=0)=\frac{1}{6}\\P(X=1)=\frac{1}{12}+\frac{1}{6}=\frac{1+2}{12}=\frac{3}{12}\\P(X=2)=\frac{1}{12}+\frac{1}{3}+\frac{1}{6}=\frac{1+4+2}{12}=\frac{7}{12}

Mean of X:

E(X)=\sum XP(X)\\=0\left ( \frac{1}{6} \right )+1\left ( \frac{3}{12} \right )+2\left ( \frac{7}{12} \right )\\=0+\frac{3}{12}+\frac{14}{12}\\=\frac{17}{12}=1.42

Variance of X:

E(X^2)=\sum X^2P(X)\\=0^2\left ( \frac{1}{6} \right )+1^2\left ( \frac{3}{12} \right )+2^2\left ( \frac{7}{12} \right )\\=0+\frac{3}{12}+\frac{28}{12}\\=\frac{31}{12}

var(X)=E\left [ X^2 \right ]-\left ( E\left [ X \right ] \right )^2\\=\frac{31}{12}-\left ( \frac{17}{12} \right )^2\\=\frac{31}{12}-\frac{289}{144}\\=\frac{372-289}{144}\\=\frac{83}{144}\\=0.58

5 0
3 years ago
(25 points!) Caleb bought a $795 necklace for his wife's birthday. If he bought it on credit with an interest rate of 16.25% how
Sliva [168]

Answer:

The total amount that he would have paid after 3 years is $1183.

Step-by-step explanation:

We would apply the formula for determining simple interest which is expressed as

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R represents interest rate

T represents the duration for which the amount was owed in years.

P = $795

R = 16.25

T = 3 years

I = (795 × 16.25 × 3) ÷ 100

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Total amount that he would have paid after 3 years is $795 + $388 = $1183

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7.\\A(n+1;\ m)\\\\8.\\A(k;\ 0)
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