(-1/4) ÷ 2/3 × (-1/2)

Classify the random variables below according to whether they are discrete or continuous.a. The time it takes for a light bulb t

kifflom [539]

Answer:

Discrete(b,c and d)

Continuous (a and e)

Step-by-step explanation:

Discrete

Discrete Random variables are variables that can only take on integer values. Therefore the following are discrete variables.

b. The number of fish caught during a fishing tournament. e.g. 6 fishes

c. The number of statistics students now reading a book. e.g. 12 Students

d. The number of textbook authors now sitting at a computer. e.g. 9 Authors

Continuous

Continuous random variables can take on an uncountable number of values.

a. The time it takes for a light bulb to burn out. e.g.178.897 seconds

e. The height of a randomly selected giraffe. e,g 16.67 feet

7 0

3 years ago

Sally gets a cup of coffee and a muffin every day for breakfast from one of the many coffee shops in her neighborhood. She picks

aniked [119]

Answer:

A. Mean of the amount Sally spends on breakfast daily = $ 3.90

Standard deviation of the amount Sally spends on breakfast daily = $ 0.34 (rounding to the next cent)

B. Mean of the amount Sally spends on breakfast weekly = $ 27.30

Standard deviation of the amount Sally spends on breakfast weekly = $ 0.89 (rounding to the next cent)

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Average price of a cup of coffee = $ 1.40

Standard deviation = $0.30

Average price of a muffin = $ 2.50

Standard deviation = $ 0.15

The two prices are independent of each other

2. What is the mean and standard deviation of the amount Sally spends on breakfast daily?

Let's recall that:

1. The mean of the sum of two independent variables is the sum of their means.

2. The variance of the sum of two independent variables is equal to the sum of their variances.

Therefore,

Mean of the amount Sally spends on breakfast daily = Average price of a cup of coffee + Average price of a muffin

Replacing with the values we know:

Mean of the amount Sally spends on breakfast daily = 1.40 + 2.50

Mean of the amount Sally spends on breakfast daily = $ 3.90

Variance of the amount Sally spends on breakfast daily = Variance of the price of a cup of coffee + Variance of the price of a muffin

Replacing with the values we know:

Variance of the amount Sally spends on breakfast daily = 0.30² + 0.15²

Variance of the amount Sally spends on breakfast daily = 0.1125

Standard deviation of the amount Sally spends on breakfast daily = √0.1125

Standard deviation of the amount Sally spends on breakfast daily = $ 0.34 (rounding to the next cent)

3. What is the mean and standard deviation of the amount she spends on breakfast weekly (7 days)?

Mean of the amount Sally spends on breakfast weekly = 7 * Mean of the amount Sally spends on breakfast daily

Mean of the amount Sally spends on breakfast weekly = 7 * 3.90

Mean of the amount Sally spends on breakfast weekly = $ 27.30

Variance of the amount Sally spends on breakfast weekly = 7 * Variance of the amount Sally spends on breakfast daily

Variance of the amount Sally spends on breakfast weekly = 7 * 0.1125

Variance of the amount Sally spends on breakfast weekly = 0.7875

Standard deviation of the amount Sally spends on breakfast weekly = √0.7875

Standard deviation of the amount Sally spends on breakfast weekly = $ 0.89 (rounding to the next cent)

3 0

4 years ago

X = ?????? Geometry

adelina 88 [10]

Answer:

$\boxed{x^2 = 16}$

Step-by-step explanation:

Using Tangent Secant theorem:

(x)² = (2)(2+6)

x² = 2(8)

x² = 16

7 0

3 years ago

11/4 hours 19/8 hours 2.6 hours witch is closest to 2 hours?

ExtremeBDS [4]

Answer:

$\frac{19}{8}$ hours is closest to 2 hours.

Step-by-step explanation:

We have been given three numbers and we need to decide which of the three numbers is closest to 2.

In order to decide that, we will convert each of the given numbers into decimals and then we will compare.

$\frac{11}{4} =2.750\\\frac{19}{8}=2.375\\2.6=2.600$

Upon comparing 2.750, 2.375 and 2.600 we know that 2.375 is closest to 2. Therefore, out of the given three numbers, $\frac{19}{8}$ is closest to 2.

4 0

4 years ago

Which value of K will make x^2-1/4x+k a perfect square trinomial?

lakkis [162]

To find it it is
ax^2+bx+c
if the first term (a) is 1 then c=b/2
b=-1/4
(-1/4)/2=-1/4 times 1/2=-1/8

k=-1/8

4 0

4 years ago

(-1/4) ÷ 2/3 × (-1/2)​

(-1/4) ÷ 2/3 × (-1/2)