What is the formula for finding the initial value?

On a map, the distance between Greenville and Fairview is 7 1/4 inches. If the map uses a scale of 1/2 inch = 40 miles, what is

lubasha [3.4K]

The actual distance between cities is 580 miles.

Step-by-step explanation:

Map distance = $7\frac{1}{4}$ inches = $\frac{29}{4}\ inches$

Scale used;

$\frac{1}{2}\ inches = 40\ miles$

Multiplying both sides by 2

$2*\frac{1}{2}=40*2\\1\ inch = 80\ miles\\$

Now,

$\frac{29}{4}\ inches = \frac{29}{4}*80\\\\\frac{29}{4}=29*20\\\\\frac{29}{4}\ inches = 580\ miles$

The actual distance between cities is 580 miles.

Keywords: fraction, multiplication

Learn more about fractions at:

#LearnwithBrainly

4 0

3 years ago

If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au

Marta_Voda [28]

Answer:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:

$X \sim Binom(n=8, p=0.9)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And for this case we want to find this probability:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

7 0

3 years ago

Read 2 more answers

One of the ancient stone pyramids in Egypt has a square base that measures 140 m on each side. The height is 96 m. What is the v

miv72 [106K]

Volume of a pyramid = $\frac{1}{3}*base*height$

Given base is = 140 m

Given height is = 96 m

Volume = $\frac{1}{3}\times140\times96=4480$

Hence, volume of pyramid is 4480 m³

4 0

3 years ago

NEED HELP!!!

Dahasolnce [82]

Answer:

No.

Step-by-step explanation:

The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation.

7 0

3 years ago

a farmer hires 110 workers to harvest apples from his trees.it takes the 12 days to harvest the farmers entire crop.how long doe

bazaltina [42]

Answer:

110 = 12

110 + 110 + 110 + 110 = 440

so 110 × 4 = 440

4 × 12 =<em><u> 48 days</u></em>

hope this helps

5 0

3 years ago