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3 years ago

Beth filled 8 jars with paint.

Mathematics

2 answers:

olya-2409 [2.1K]3 years ago

8 0

The answer is that Beth used 1 gallon of paint

sergey [27]3 years ago

5 0

Answer:

Beth used 1 gallon of paint

Step-by-step explanation:

1 pint x 8 jars = 8

if 1 pint = 0.125 gallons,

0.125 x 8 would equal 1

this means that 8 pints of paint, would equal 1 gallon of paint.

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One number exceeds another by 24. The sum of the numbers<br> is 58. What are the numbers?

Anna35 [415]

X + x + 24 = 58
x = (58-24)/2=17
the first number is 17 and the second number is the sum of 17 and 28. Finding it has been left as an exercise for the reader.

3 0

2 years ago

It is a well-known fact that 50% of the general population are rascals (P(R) = 0.5) and 50% of the general population are not ra

aleksley [76]

Answer:

The answer is D. 0.75

Step-by-step explanation:

Let call R the event that a person is rascal, RC a person is not rascal, TH a person use top hat and NTH a person don’t use top hat.

From the information on the question we have 4 options with their respective probability:

1. A person could be rascal and use top Hat: this probability is calculate as the multiplication of the probability of be a rascal (0.5) and use a top hat (0.9), then:

P(R y TH)=0.5*0.9=0.45

2. A person could be rascal and don’t use top Hat: this probability is calculate as the multiplication of the probability of be a rascal (0.5) and not use a top hat (0.9), then:

P(R y NTH)=0.5*0.1=0.05

3. A person could be not rascal and use top Hat: this probability is calculate as the multiplication of the probability of not be a rascal (0.5) and use a top hat (0.3), then:

P(RC y TH)=0.5*0.3=0.15

4. A person could be not rascal and not use top Hat: this probability is calculate as the multiplication of the probability of not be a rascal (0.5) and not use a top hat (0.7), then:

P(RC y NTH)=0.5*0.7=0.35

Then the probability that a person is a rascal given that he is wearing a top hat could be written and calculate as:

$P(R/TH)=\frac{P(R y TH)}{P(TH)}$

For calculate P(TH) we need to sum all the option in which TH is involve so:

P(TH) = P(R y TH)+ P(RC y TH)

P(TH)=0.45+0.15=0.6

Replacing values on the first equation we get:

$P(R/TH)=\frac{0.45}{0.6} =0.75$

So, the probability that a person is a rascal given that he is wearing a top hat is 0.75

5 0

3 years ago

Determine whether the sides given would form an acute, obtuse, or right triangle. 7, 7, 13

Brut [27]

Let a = 7 , b = 7, and c = 13. c is always the biggest number.

Acute Triangle is when $c^2 \ \textless \ a^2 + b^2$

Right Triangle is when $c^2 = a^2 + b^2$

Obtuse Triangle is when $c^2 \ \textgreater \ a^2 + b^2$

5 0

3 years ago

Find the slope of the line

Phantasy [73]

Answer:

Step-by-step explanation:

rise is 4

run is 1

4/1=4

5 0

3 years ago

Read 2 more answers

Please help me with this!<br><br><br> show that {1,2} ⊆ {x|x^4 - x^3 - x^2 - 5x + 6 = 0}

Llana [10]

The set $\{x\mid x^4-x^3-x^2-6x+6=0\}$ is the set of all values of $x$ that are solutions to the given equation. So all you need to do is check whether $x=1$ and $x=2$ satisfy the equation.

$x=1\implies 1^4-1^3-1^2-5+6=0$

$x=2\implies2^4-2^3-2^2-10+6=0$

The equation holds, so both 1 and 2 are solutions, and hence $\{1,2\}$ is a subset of the solutions.

6 0

3 years ago