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3 years ago

Write “252 miles per 8 gallons” as a rate in simplest form.

1 answer:

3 0

Okay so since we have to put 252 miles per 8 gallons into the simplest form I'm going to say that we divide 252/8=31.5 so we should have 31.5 miles per gallon as our answer

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Can anyone asnwer this ?

igor_vitrenko [27]

Answer:

11 play the flute and piano, while 14 play the flute and 3 play the piano separately, and 10 play neither. That would tell me that it’s just simple addiction, so...

11+14+3+10=38

There are 38 pupils in the class.

6 0

3 years ago

Solve this equation will mark brainlyest

Ahat [919]

Answer:

x > 1⅘

Step-by-step explanation:

(⅔)x - ⅕ > 1

(⅔)x > 1⅕

(⅔)x > 6/5

x > 6/5 × 3/2

x > 9/5

x > 1⅘

7 0

3 years ago

Read 2 more answers

Five percent of all blue ray players manufactured by a large electronics company are defective. A quality control inspector rand

iVinArrow [24]

Answer:

0.1354 = 13.54% probability that exactly one of these three blue ray players is defective.

Step-by-step explanation:

For each player, there are only two possible outcomes. Either it is defective, or it is not. The probability of a player being defective is independent of any other ray. This means that the binomial probability distribution is used to solve this question.

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.

Five percent of all blue ray players manufactured by a large electronics company are defective.

This means that $p = 0.05$

A quality control inspector randomly selects three players from the production line.

This means that $n = 3$

What is the probability that exactly one of these three blue ray players is defective?

This is P(X = 1). So

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

$P(X = 1) = C_{3,1}.(0.05)^{1}.(0.95)^{2} = 0.1354$

0.1354 = 13.54% probability that exactly one of these three blue ray players is defective.

6 0

3 years ago

PLEASE HELP Given: △KLM LM=12, m∠K=60°, m∠M=45° Find: Perimeter of △KLM.

worty [1.4K]

We have to find the perimeter of the triangle KLM.

We have been given that the length of the side LM=12, $m\angleK=60^\circ$ , and $m\angle M= 45^\circ$

Refer the attached image.

In a triangle sum of three angles should be $180^\circ$ .

So,

$m\angle K+m\angle L+m\angle M=180^\circ$

Plugging the values of angle K and angle M, we get:

$60^\circ+m\angle L+45^\circ=180^\circ$

So,

$m\angle L=180^\circ-105^\circ=75^\circ$

Now, that we have the measure of angle L, we will apply sine rule to find the length of the sides KL and KM.

Using the sine law for the triangle KLM, we get:

$\frac{sin K}{LM}=\frac{sin L}{KM}=\frac{sin M}{KL}$

Refer the image. Plugging the value of the sides of the triangle KLM and the angles of the triangle KLM, we get:

$\frac {sin 60^\circ}{12}=\frac{sin 75^\circ}{y}=\frac{sin 45^\circ}{x}$

Now using,

$\frac {sin 60^\circ}{12}=\frac{sin 75^\circ}{y}$

We get the value of 'y'

$y=\frac{sin 75^\circ}{sin 60^\circ} \times 12=\frac{0.9659}{0.866} \times 12=13.38$

So the length of the side KM is 13.38 units.

Now using,

$\frac {sin 60^\circ}{12}=\frac{sin 45^\circ}{x}$

We get the value of 'x'

$x=\frac{sin 45^\circ}{sin 60^\circ} \times 12=\frac{0.707}{0.866} \times 12=9.79$

So the length of the side KL is 9.79 units.

Now, to find the perimeter of the triangle KLM we need to sum up the length of the sides of the triangle KLM.

The perimeter of the triangle KLM $= KL+ LM + KM = 9.79 + 12 + 13.38 = 35.17$ units

6 0

3 years ago

Read 2 more answers

What is -12 divided by 2/3 ? A:: -36 B: -24 C: -18 D: -8

natta225 [31]

$-12 \div \frac{2}{3}=-12 \times \frac{3}{2}=3 \times \frac{-12}{2}=3 \times (-6)=\boxed{-18} \Leftarrow \hbox{answer C}$

8 0

3 years ago

Read 2 more answers