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kolezko [41]
3 years ago
10

Martha is following a recipe for 13 liters of punch that uses 8 liters

Mathematics
1 answer:
trasher [3.6K]3 years ago
8 0

Answer:

For every 1 liter of lemonade Martha has to add 1.6 liters of pineapple juice.

The ratio of liters of pineapple juice to liters of punch is 8:13

Step-by-step explanation:

13 - 8 = 5

5 divided by 5 is 1

8 divided by 5 is 1.6

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Trucks in a delivery fleet travel a mean of 120 miles per day with a standard deviation of 18 miles per day. The mileage per day
kvv77 [185]

The probability that a truck drives between 150 and 156 miles in a day is 0.0247. Using the standard normal distribution table, the required probability is calculated.

<h3>How to calculate the probability distribution?</h3>

The formula for calculating the probability distribution for a random variable X, Z-score is calculated. I.e.,

Z = (X - μ)/σ

Where X - random variable; μ - mean; σ - standard deviation;

Then the probability is calculated by P(Z < x), using the values from the distribution table.

<h3>Calculation:</h3>

The given data has the mean μ = 120 and the standard deviation σ = 18

Z- score for X =150:

Z = (150 - 120)/18

   = 1.67

Z - score for X = 156:

Z = (156 - 120)/18

  = 2

So, the probability distribution over these scores is

P(150 < X < 156) = P(1.67 < Z < 2)

⇒ P(Z < 2) - P(Z < 1.67)

From the standard distribution table,

P(Z < 2) = 0.97725 and P(Z < 1.67) = 0.95254

On substituting,

P(150 < X < 156) = 0.97725 - 0.95254 = 0.02471

Rounding off to four decimal places,

P(150 < X < 156) = 0.0247

Thus, the required probability is 0.0247.

Learn more about standard normal distribution here:

brainly.com/question/26822684

#SPJ1

5 0
1 year ago
What all needs to be known in 8th grade math?
Firlakuza [10]

Answer:

Technically, it depends on which school you attend, which state, city, or area you live in, and if you have an honor-based program or just the basic class. Although, in the basic level of 8th grade, you will learn measurements, a bit of geometry, algebra, and probability.

Hope this helps and good luck!

4 0
2 years ago
(8x-17)(5x+19)<br> Find the converse and x
pychu [463]

(8x-17)(5x+19)\\40x^{2}+152x-85x-323\\ 40x^{2}+67x-323

4 0
2 years ago
What is the equation of the line that passes through the point (3,-7) and has a slope of -4/3?
Gemiola [76]

Answer:

4x + 3y + 9 = 0

Step-by-step explanation:

When a slope of a line and a point passing through it is given then we use slope - one point form to determine the equation of the line.

It is given by:

                      $ (y - y_1) = m (x - x_1) $

where $m$ is the slope of the line and

           $ (x_1, y_1) $ is the point passing through it.

Here, $ m = \frac{-4}{3} $ and $ (x_1 , y_1) = (3 , -7) $.

Substituting in the formula y +  7 = \frac{-4}{3} (x - 3)

$ \implies 3y + 21 = -4x + 12 $

$ 4x + 3y + 9 = 0 $

3 0
3 years ago
If y varies directly<br> as x and y =4 when x=-4, what is y when x=-7?
Inga [223]

Answer:

7

<em>good luck, i hope this helps :)</em>

6 0
3 years ago
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