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OLEGan [10]
3 years ago
15

Who is farthest from the school

Mathematics
1 answer:
postnew [5]3 years ago
7 0

Using the law of cosines:

The grocery store to the school:

Distance = √(7^2 + 10^2 - 2*7*10*cos(100)

Distance = 13.16 miles


The movie store to the school:

Distance = √(7^2 + 10^2 - 2*7*10*cos(120)

Distance = 14.80 miles


The friend is further away.

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Yesterday a car rental agency rented 4 vehicles, of which 2 were pickup trucks. what is the experimental probability that the fi
irina [24]

Using it's concept, it is found that the experimental probability that the first vehicle rented today will be a pickup truck is of 0.5 = 50%.

<h3>What is a probability?</h3>

A probability is given by the<u> number of desired outcomes divided by the number of total outcomes</u>. For an experimental probability, these number of outcomes are taken from previous trials.

In this problem, we have that out of 4 vehicles, 2 are pickup trucks, hence the experimental probability is given by:

p = 2/4 = 1/2 = 0.5.

More can be learned about probabilities at brainly.com/question/14398287

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2 years ago
How to solve quadratic inequalities.
Digiron [165]

Find all the zeros of the polynomial, and arrange the zeros in increasing order. ...

Plot those numbers on the number line as open or closed points based upon the original inequality symbol.

Choose a test value in each interval to see if the interval satisfies the inequality or not.

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2 years ago
What is the volume of the cylinder below?​ ​
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the volume of the cylinder is d)168 units

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3 years ago
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mel-nik [20]
140 tickets sold at the door

Step by Step Explanation:

x = tickets sold in advance
y = tickets sold at the door

We use the formula ax+by=c and a+b=c

x + y = 514
17x + 20y = 9158

y = 514 - x
17x + 20(514 - x)
17x + 10,280 - 20x = 9,158
-3x + 10,280 = 9,158
-3x = -11222
x = 374

This is for tickets sold in advance so we need to find y

374 + y = 514
y = 140

140 tickets were sold at the door

8 0
3 years ago
Let x denote the lifetime of a mcchine component with an exponential distribution. The mean time for the component failure is 25
aliina [53]

Answer:

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

The mean time for the component failure is 2500 hours.

This means that m = \frac{2500}, \mu = \frac{1}{2500} = 0.0004

What is the probability that the lifetime exceeds the mean time by more than 1 standard deviations?

The standard deviation of the exponential distribution is the same as the mean, so this is P(X > 5000).

P(X > x) = e^{-0.0004*5000} = 0.1353

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

4 0
2 years ago
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