Question 1:

marty has 1 1/3 jugs of apple juice. he uses 3/4 of the juice to make freeze pops. what fraction amount of a jus doe marty have?

Vedmedyk [2.9K]

Answer:

=2 $\frac{1}{12}$

Step-by-step explanation:

We have to make the fractions equal so we can add them

1 $\frac{1}{3}$ ×4= 1 $\frac{4}{12}$

$\frac{3}{4}$ ×3= $\frac{9}{12}$

1 $\frac{4}{12}$ + $\frac{9}{12}$ =2 $\frac{1}{12}$

5 0

3 years ago

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businessText message users receive or send an average of 62.7 text messages per day. How many text messages does a text message

KiRa [710]

Answer:

(a) The probability that a text message user receives or sends three messages per hour is 0.2180.

(b) The probability that a text message user receives or sends more than three messages per hour is 0.2667.

Step-by-step explanation:

Let X = number of text messages receive or send in an hour.

The random variable X follows a Poisson distribution with parameter λ.

It is provided that users receive or send 62.7 text messages in 24 hours.

Then the average number of text messages received or sent in an hour is: $\lambda=\frac{62.7}{24}= 2.6125$ .

The probability of a random variable can be computed using the formula:

$P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!} ;\ x=0, 1, 2, 3, ...$

(a)

Compute the probability that a text message user receives or sends three messages per hour as follows:

$P(X=3)=\frac{e^{-2.6125}(2.6125)^{3}}{3!} =0.21798\approx0.2180$

Thus, the probability that a text message user receives or sends three messages per hour is 0.2180.

(b)

Compute the probability that a text message user receives or sends more than three messages per hour as follows:

P (X > 3) = 1 - P (X ≤ 3)

= 1 - P (X = 0) - P (X = 1) - P (X = 2) - P (X = 3)

$=1-\frac{e^{-2.6125}(2.6125)^{0}}{0!}-\frac{e^{-2.6125}(2.6125)^{1}}{1!}-\frac{e^{-2.6125}(2.6125)^{2}}{2!}-\frac{e^{-2.6125}(2.6125)^{3}}{3!}\\=1-0.0734-0.1916-0.2503-0.2180\\=0.2667$

Thus, the probability that a text message user receives or sends more than three messages per hour is 0.2667.

6 0

3 years ago

What is the length of the hypotenuse in the following figure.

xeze [42]

Answer:

5

Step-by-step explanation:

what do you mean ?? its already written there

8 0

3 years ago

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Can someone help free points..

vazorg [7]

Step-by-step explanation:

I hope you got the hang of it.

I didn't had a place to draw the verbal questions, so I just did them in my head - if you want to understand it better

I suggest that you draw those triangles

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ÷)

5 0

3 years ago

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Can you please help?

Liula [17]

Answer:

$\huge\boxed{3.873}$

Step-by-step explanation:

Note that the squares are on the sides of these triangles are on the hypotenuse/one leg.

We know that the area of a square is $l^2$ where l is the length. Since we know the area, we can find the square root of the area to find the side length.