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4 years ago

We have 10 gallons of gas in the car. we use 1 5/8 gallons each hour. How many hours of gas do we have?

1 answer:

5 0

So you have 10 gallons of gas
You use 1.625 or 1.63 an hour

You can either do 10/1.625 = 6 hours and 15 mins
You can either do 10/1.63 = 6 hours and 13 mins

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I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS 3

sveticcg [70]

Answer:

$x=8$

Step-by-step explanation:

The best way to go about this is to use a trig identity. You have the unknown opposite the angle and the hypotenuse, so its best to use the sine identity: $sin(x)=\frac{O}{H}$ , where O is the opposite side, and H is the hypotenuse.

Set up the equation as: $sin(27)=\frac{x}{17}$ , and solve for X.

I got x=7.718, rounded to x=8.

If I helped, a brainliest answer would be greatly appreciated!

6 0

3 years ago

The students at Woodward Elementary voted for a school mascot. The falcon won with 58 of the votes and the eagle came second wit

Anuta_ua [19.1K]

Answer:

67 students voted for the eagle

Step-by-step explanation:

The students at Woodward Elementary voted for a school mascot. The falcon won with 5/8 of the votes and the eagle came second with 1/3 of the remaining votes. If 536 students voted for a mascot, how many students voted for the eagle

Total students who voted = 536

Falcon won with 5/8 of the votes

5/8 of 536

=5/8 × 536

= 2,680/8

= 335 votes

Falcons won with 335 votes

Remaining votes = Total votes - falcons votes

= 536 - 335

= 201 votes

There are 201 votes remaining

Eagle came second with 1/3 of the remaining votes

1/3 of the remaining votes

= 1/3 × 201

= 201/3

= 67 votes

67 students voted for the eagle

5 0

3 years ago

Find the slope y - 2 = -3 (x+1) <br><br> (show steps!!)

Vsevolod [243]

y - 2 = -3 (x+1)

point slope form

y-y1 = m(x-x1)

looking at the above equation

the slope is -3

6 0

3 years ago

In Illinois, 9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders; that is, they have been arre

Veseljchak [2.6K]

Answer:

a) 21.58% probability that exactly 3 people are repeat offenders

b) 97.91% probability that at least one person is a repeat offender

c) 3.69

d) 1.83

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders

This means that $p = 0.09$

41 people arrested for DUI in Illinois are selected at random.

This means that $n = 41$

a. What is the probability that exactly 3 people are repeat offenders?

This is P(X = 3).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{41,3}.(0.09)^{3}.(0.91)^{38} = 0.2158$

21.58% probability that exactly 3 people are repeat offenders

b. What is the probability that at least one person is a repeat offender?

Either none are repeat offenders, or at least one is. The sum of the probabilities of these outcomes is 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$ .

Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = 0) = C_{41,0}.(0.09)^{0}.(0.91)^{41} = 0.0209$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0209 = 0.9791$

97.91% probability that at least one person is a repeat offender

c. What is the mean number of repeat offenders?

$E(X) = np = 41*0.09 = 3.69$

d. What is the standard deviation of the number of repeat offenders?

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{41*0.09*0.91} = 1.83$

4 0

3 years ago

Ms. Aniston asked seven students in her class to collect pet food cans for a local animal shelter. The dot plot shows the number

Firlakuza [10]

The answer is 7

you want to take your line plot and write each number on it as many times as the dots appear above it. since you have 7 numbers the center would be the 4th one. in order out of these numbers the 7 occurs fourth then giving you your answer.

7 0

3 years ago