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Liono4ka [1.6K]
3 years ago
10

A recipe that makes 4 servings calls for Two-thirds cup of flour. How much flour is required to make 20 servings? 6 cups 3 and o

ne-third cups two-thirds cups StartFraction 2 over 15 EndFraction cups
Mathematics
2 answers:
Vlad [161]3 years ago
6 0

Answer:

3 1/3 cups of flour

Step-by-step explanation:

20/4 = 5

20 servings is 5 times 4 servings, so you need 5 times the amount of ingredients.

5 * 2/3 = 10/3 = 3 1/3

Answer: 3 1/3 cups of flour

Verizon [17]3 years ago
4 0

Answer:

3 1/3 cups of flour is your answer.

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Suppose the number of messages that an inbox receives may be modeled by a Poisson distribution. If the average number of message
docker41 [41]

Answer:

0.36427

Step-by-step explanation:

Mean = λ = 18 messages per hour

P(X = x) = (e^-λ)(λ⁻ˣ)/x!

P(X ≤ x) = Σ (e^-λ)(λ⁻ˣ)/x! (Summation From 0 to x)

But the probability required is that the messages thay come in an hour is between 15 and 20, that is, P(15 < X < 20)

P(15 < X < 20) = P(X < 20) - P(X ≤ 15)

These probabilities will be evaluated using a cumulative frequency calculator.

P(X < 20) = 0.65092

P(X ≤ 15) = poissoncdf(18, 15) = 0.28665

P(15 < X < 20) = P(X < 20) - P(X ≤ 15) = 0.65092 - 0.28665 = 0.36427.

You can use the Poisson distribution calculator here

https://stattrek.com/online-calculator/poisson.aspx

4 0
2 years ago
Write the equation of the line that passes through the points (0,8) and (-1,-4).
Anettt [7]

Step-by-step:

Use slope formula to find the slope. (y - y)/(x - x)

Make sure the x and y in front of the minus is a pair that goes together, as well as the x and y behind the minus sign. So

8 - -4 goes on top, that's 12

0 - -1 goes under, thats 1

12/1 is the slope which is just 12. Use either point to fill in the second x and the second y in the point-slope equation. m is the slope.

y - y = m(x - x)

y - 8 = 12(x - 0)

y - 8 = 12x

5 0
2 years ago
Sketch the region that is common to the graphs of x ≥ 2,
Oliga [24]

a. Find the graph of their common region in the attachment

b. The area of the common region of the graphs is 8 units²

<h3>a. How to sketch the region common to the graphs?</h3>

Since we have x ≥ 2, y ≥ 0, and x + y ≤ 6, we plot each graph separately and find their region of intersection.

  • The graph of x ≥ 2 is the region right of the line x = 2.
  • The graph of y ≥ 0 is the region above the line y = 0 or x-axis.
  • To plot the graph of x + y ≤ 6, we first plot the graph of x + y = 6 ⇒ y = -x + 6. Then the graph of x + y ≤ 6 is the graph of y ≤ - x + 6.

So, the graph of x + y ≤ 6 is the region below the line y = - x + 6

From the graph, the regions intersect at (2, 0), (2, 4) and (6, 0)

Find the graph of their common region in the attachment

<h3>b. The area of the common region</h3>

From the graph, we see that the common region is a right angled triangle with

  • height = 4 units and
  • base = 4 units

So, its area = 1/2 × height × base

= 1/2 × 4 units × 4 units

= 1/2 × 16 units²

= 8 units²

So, the area of the common region of the graphs is 8 units²

Learn more about region common to graphs here:

brainly.com/question/27932405

#SPJ1

6 0
1 year ago
If two rays are opposite rays, then they have a common endpoint.​
Ilia_Sergeevich [38]

The statement is true.

3 0
3 years ago
What expression is equivalent to 5 (x+6)-2x+9.
myrzilka [38]
5x+30- 2x+9

3x+39 is the expression.
7 0
2 years ago
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