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Monica [59]
3 years ago
5

recipe for sparkling grape juice calls for 5/8 quarts of sparkling water and 1/5 quarts of grape juice how much sparkling water

would you need to mix with 6 quarts of grape juice?
Mathematics
1 answer:
ohaa [14]3 years ago
3 0

You would need 18 3/4 quarts of sparkling water.

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PLEASE HELP! GIVING BRAINLIEST! DUE SOON PLEASE HELP!
Mrrafil [7]

Answer:

4-9 = 4+(-9)

-6-7 = -6+(-7)

-4-(-9) = -4 + 9

6-(-7) = 6+7

Step-by-step explanation:

Double negatives means a positive and one positive and one negative is a negative.

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2 years ago
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According to a study done by Wakefield Research, the proportion of Americans who can order a meal in a foreign language is 0.47.
UNO [17]

Answer:

Probability that the proportion of Americans who can order a meal in a foreign language is greater than 0.5 is 0.19766.

Step-by-step explanation:

We are given that according to a study done by Wake field Research, the proportion of Americans who can order a meal in a foreign language is 0.47.

Suppose a random sample of 200 Americans is asked to disclose whether they can order a meal in a foreign language.

<em>Let </em>\hat p<em> = sample proportion of Americans who can order a meal in a foreign language</em>

The z-score probability distribution for sample proportion is given by;

          Z = \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion

p = population proportion of Americans who can order a meal in a foreign language = 0.47

n = sample of Americans = 200

Probability that the proportion of Americans who can order a meal in a foreign language is greater than 0.5 is given by = P( \hat p > 0.50)

  P( \hat p > 0.06) = P( \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } > \frac{0.5-0.47}{\sqrt{\frac{0.5(1-0.5)}{200} } } ) = P(Z > 0.85) = 1 - P(Z \leq 0.85)

                                                               = 1 - 0.80234 = <u>0.19766</u>

<em>Now, in the z table the P(Z  </em>\leq <em>x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.85 in the z table which has an area of 0.80234.</em>

Therefore, probability that the proportion of Americans who can order a meal in a foreign language is greater than 0.5 is 0.19766.

4 0
4 years ago
A rectangle with sides measuring x in. and 4x-1 in. has an area of 663in.^2. What are the dimensions of the rectangle?
serious [3.7K]

9514 1404 393

Answer:

  13 in by 51 in

Step-by-step explanation:

The area is the product of the dimensions, so is ...

  663 = x(4x -1)

  4x^2 -x -663 = 0 . . . . . . subtract 663 to put in standard form

Using the quadratic formula, we can find the solutions.

  x = (-(-1) ±√((-1)^2 -4(4)(-663)))/(2(4))

  x = (1 ± √10609)/8 = (1 ±103)/8

Only the positive solution is of any use in this problem, so ...

  x = 104/8 = 13

  4x-1 = 4(13)-1 = 51

The dimensions of the rectangle are 13 inches by 51 inches.

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I find it easiest to solve these using a graphing calculator.

8 0
3 years ago
Larissa is writing a coordinate proof to show that the diagonals of a square are perpendicular to each other. She starts by assi
Llana [10]

The slope of KH is 1

The slope of GJ is -1

The product of the slopes of the diagonals is -1

Therefore, KH is perpendicular to GJ

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3 years ago
Marley's parents deposited $1,000 into a savings account as a college fund when she was born. How much will Marley have after 18
Andrews [41]
Marley will have $1,778.37 when she is 18.

See the attached picture for details.

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8 0
3 years ago
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