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zlopas [31]
3 years ago
13

Select the indicated real nth root(s) of a. n=3, a = 64

Mathematics
1 answer:
arsen [322]3 years ago
5 0

9514 1404 393

Answer:

  4

Step-by-step explanation:

∛64 = ∛(4³) = 4

_____

The real root when the root index is odd will have the same sign as the value whose root it is. 64 is positive, so the real cube root will be positive.

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If 9% of a number equals 10, find 90% of that number.
Levart [38]

Answer:

100

Step-by-step explanation:

In this problem 10 represents 9% of a number. So, to find 90% you must multiply 10 by 10. You do this because 9% times 10 equals 90%; therefore, 100 must be 90%.

This can also be proven through cross multiplication. To set up a proportion put the percent over the number like, \frac{9}{10}=\frac{90}{x}. Then cross multiply to get the equation, 9x=900. Finally, divide both sides to get x=100.

5 0
3 years ago
LaVelle is making a pitcher of caffe mocha. For each ounce of chocolate syrup, she uses five ounces of coffee. How many ounces o
Nataly [62]

Answer:

40 ounces of coffee

Step-by-step explanation:

we know that

To make caffe mocha, LaVelle uses one ounce of chocolate syrup,and five ounces of coffee

so

To make 6  ounces of caffe mocha (one ounce of chocolate syrup plus 5 ounces of coffe), LaVelle uses one ounce of chocolate syrup,and five ounces of coffee

using proportion

Find out how many ounces of coffee does she need to make 48 ounces of caffe mocha

Let

x ---> ounces of coffee needed to make 48 ounces of caffe mocha

\frac{6}{5}\ \frac{oz\ caffe\ mocha}{oz\ coffee} =\frac{48}{x}\ \frac{oz\ caffe\ mocha}{oz\ coffee}\\\\x=48(5)/6\\\\x=40\ oz\ coffee

7 0
3 years ago
Write the sum of 8x^2 - x + 4 and x - 5<br><br> Show all work
tigry1 [53]

okey

you needed the sum or division?

3 0
3 years ago
Wright et al. [A-2] used the 1999-2000 National Health and Nutrition Examination Survey(NHANES) to estimate dietary intake of 10
xxMikexx [17]

Complete question :

Wright et al. [A-2] used the 1999-2000 National Health and Nutrition Examination Survey NHANES) to estimate dietary intake of 10 key nutrients. One of those nutrients was calcium in all adults 60 years or older a mean daily calcium intake of 721 mg with a standard deviation of 454. Usin these values for the mean and standard deviation for the U.S. population, find the probability that a randonm sample of size 50 will have a mean: (mg). They found a) Greater than 800 mg b) Less than 700 mg. c) Between 700 and 850 mg.

Answer:

0.10935

0.3718

0.9778

0.606

Step-by-step explanation:

μ = 721 ; σ = 454 ; n = 50

P(x > 800)

Zscore = (x - μ) / σ/sqrt(n)

P(x > 800) = (800 - 721) ÷ 454/sqrt(50)

P(x > 800) = 79 / 64.205295

P(x > 800) = 1.23

P(Z > 1.23) = 0.10935

2.)

Less than 700

P(x < 700) = (700 - 721) ÷ 454/sqrt(50)

P(x < 700) = - 21/ 64.205295

P(x < 700) = - 0.327

P(Z < - 0.327) = 0.3718

Between 700 and 850

P(x < 850) = (850 - 721) ÷ 454/sqrt(50)

P(x < 850) = 129/ 64.205295

P(x < 700) = 2.01

P(Z < 2.01) = 0.9778

P(x < 850) - P(x < 700) =

P(Z < 2.01) - P(Z < - 0.327)

0.9778 - 0.3718

= 0.606

3 0
3 years ago
Using this distribution, find the probability
kaheart [24]

Answer:

P = 0.3

Step-by-step explanation:

Here, we are to use the probability distribution in the table to calculate the probability that a children has 4 or more shoes in his or her closet

When we say 4 or more, what we mean by this is that the teenager has 4 shoes or 5 shoes

In probability expressions, when we use the term ‘or’ we are simply talking about adding the terms involved

So what we can do here is to add the probability that the teenager has 4 shoes to the probability that the teenager has five shoes

From the table that would be; 0.1 + 0.2 = 0.3

6 0
4 years ago
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