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3 years ago

How do I Solve and graph the inequality |6 – v| < 9?

Mathematics

1 answer:

Vaselesa [24]3 years ago

7 0

|6 – v| < 9 can be written as two separate inequalities:

+(6 - v) < 9, or -v < 3, or v > -3: (-3, infinity)

-(6-v) < 9, or -6 + v < 9, or v<15: (-infinity, 15)

These two intervals overlap: (-3,15)

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37% of women consider themselves fans of professional baseball. you randomly select six women and ask each if she considers hers

valina [46]

Answer:

(a) 2.22

(b) 1.3986

Step-by-step explanation:

Let X denote the number of women who consider themselves fans of professional baseball.

The proportion of women who consider themselves fans of professional baseball is, p = 0.37.

A random sample of n = 6 women are selected and each was asked if she considers herself a fan of professional baseball.

Each woman's reply is independent of the others.

The random variable X thus follows a binomial distribution with parameters n = 6 and p = 0.37.

(a)

Compute the mean of the binomial distribution as follows:

$\text{Mean}=np=6\times 0.37=2.22$

(b)

Compute the variance of the binomial distribution as follows:

$\text{Variance}=np(1-p)=6\times 0.37\times (1-0.37)=1.3986$

(c)

Compute the standard deviation of the binomial distribution as follows:

$\text{Standard Deviation}=\sqrt{np(1-p)}=\sqrt{6\times 0.37\times (1-0.37)}=1.183$

5 0

2 years ago

State the necessary value of nn that will make each statement true. 0.0004 × 0.002 = 8 × 10^n

vodka [1.7K]

Answer:

$-7 = n$

Step-by-step explanation:

$0,002 \times 0,0004 = 0,0000008$

$0,0000008 = 8 \times {10}^{-7}$

* You must make sure that you have seven zeros in your decimal.

I am joyous to assist you anytime.

6 0

3 years ago

Can some one explain and help me and answer it

brilliants [131]

Answer

Sal spent 43 minutes jogging per day last week.

Elena spent 45 minutes jogging per day last week.

Step-by-step

Part 1: Find the number of minutes Sal jogged.

1. Find the number of minutes out of the week that were spent jogging.

240 - 25 = 215

Sal spent 215 minutes jogging.

2. Find the number of minutes per day he spent jogging.

215 / 5 = 43

Sal spent 43 minutes jogging per day last week.

Part 2: Find the number of minutes Elena jogged.

1. Find the number of minutes out of the week that were spent jogging.

300 - 15(5) = 300 - 75 = 225

Elena spent 225 minutes jogging.

2. Find the number of minutes per day she spent jogging.

225 / 5 = 45

Elena spent 45 minutes jogging per day last week.

4 0

3 years ago

Jace is a songwriter who collects royalties in his songs whenever they are played in a commercial or a movie. Jace will earn $50

VashaNatasha [74]

Jace's song were played on 8 commercials and 2 movies

<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

Elimination Method
Substitution Method
Graph Method

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

Let:

Number of Commercials = C

Number of Movies = M

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