The following radical equation has a solution set {x = ?} and an extraneous root x = ?.

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

Answer:

The expected number of days per week the captain can leave port is 4.05.

Step-by-step explanation:

We are given the following distribution:

[tex]P(X = 0) = 0.2[/tex]

[tex]P(X = 1) = 0.05[/tex]

[tex]P(X = 2) = 0.05[/tex]

[tex]P(X = 3) = 0.05[/tex]

[tex]P(X = 4) = 0.15[/tex]

[tex]P(X = 5) = 0.1[/tex]

[tex]P(X = 6) = 0.15[/tex]

[tex]P(X = 7) = 0.25[/tex]

What is the expected number of days per week the captain can leave port.

We multiply each outcome by its probability. So

[tex]E = 0*0.2 + 1*0.05 + 2*0.05 + 3*0.05 + 4*0.15 + 5*0.1 + 6*0.15 + 7*0.25 = 4.05[/tex]

The expected number of days per week the captain can leave port is 4.05.

Answer:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90

Step-by-step explanation:

hi

Answer:

9,18,27,36,45,54,63,72,81,90

Step-by-step explanation:

Answer:

hi

hi hi hi hi hi h hi hi hi hi hi hi hi

Step-by-step explanation:

Answer:

29.25 / 29 1/4 MPH (Miles Per Hour)

Step-by-step explanation:

2/3 of an hour equals 40 minutes, so 19 1/2 miles is 40 minutes. 20 minutes is 1/3 of an hour, which is the missing amount of 2/3. Divide 19 1/2 miles by 2 to get 9 3/4 miles (which is how far Ms. Sanchez can go in 20 minutes). multiply by 3 to get 29 1/4 Miles Per Hour.

Answer:

The corresponding side is JG

Step-by-step explanation:

Given

JGH similar to PMO

Required

Determine the similar side to PM

To do this, we follow the naming convention of both triangle name, since there is no attachment to support the given parameters.

So:

By comparison: The corresponding side is JG

Answer:

B aka JG

Step-by-step explanation:

right on edge

Answer:

Statistical inference consists in the use of statistics to draw conclusions about some unknown aspect of a population based on a random sample from that population. ... The goal of hypothesis testing is to decide which of two complementary statements about a population is true.

hope it's help

Answer: a = 1.25, b = 2.5, c = 1.25

Step-by-step explanation:

Use vertex form and substitute a point into it (1, 5)

5 = a(1 + 1)^2 + 0

5 = a(2)^2 + 0

5 = 4a

a = 5/4

y = 5/4 (x + 1)^2

y = 5/4 (x^2 + 2x + 1)

1.25 x^2 + 2.5x + 5/4

Is there a "c" value otherwise it's not possible

Answer:

True

Step-by-step explanation:

Hope this helps you

Answer: c is the answer

Step-by-step explanation: the formuals for volume is length x width x height, 6x7x5, which is 210

Answer: C

Step-by-step explanation: Easy, just do length x width x height(l x w h). So, 6x7x5 = 210

Answer:

48π

Step-by-step explanation:

Given that,

The radius of the sphere is increasing at a rate of 3cm/minute, [tex]\dfrac{dr}{dt}=3\ cm/minute[/tex]

The volume of a sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

Differentiating both sides wrt t.

[tex]\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3r^2\times \dfrac{dr}{dt}\\\\=4\pi r^2\times \dfrac{dr}{dt}[/tex]

Put r = 2 cm and dr/dt = 3 cm/minute

So,

[tex]\dfrac{dV}{dt}=4\pi r^2\times \dfrac{dr}{dt}\\\\\dfrac{dV}{dt}=4\pi \times 2^2\times 3\\\\\dfrac{dV}{dt}=48\pi[/tex]

Hence, the correct option is (a) "48π".

Answer:

750 divided by 3. Equals 250

Step-by-step explanation:

If it says how much is needed and it gives the amount the person has, you will need to divide.

Answer:

check pdf

Step-by-step explanation:

Answer:

[tex]v = \frac{1}{3} \times h \times r {}^{2} \times \pi[/tex]

[tex]v = \frac{12cm \times (8cm) { }^{2} \times \pi}{3} [/tex]

[tex]v = \frac{768cm {}^{3}\pi }{3} [/tex]

[tex]v = 256\pi \: cm {}^{3} [/tex]

Answer:

60%

Step-by-step explanation:

6 dimes is 10x6 and a dollar would have 10 dimes so 60%

esdhvh,dsa,jgvgda,jkv,dkhfdshtrjea

Answer:

A

Step-by-step explanation:

It actually trying to trick you with a double negative

Answer:

A

Step-by-step explanation:

Squares do have right angles, if they did not have to then all other ssquares with no right angles would be considered rhombuses.

The question is sking which does not apply, a does not apply but thats what theyre asking so its a

Answer:

no, they are not.

Step-by-step explanation:

3z means a number multiplied by 3

so if z is 2, 3(2) = 6

but z^3 means z multiplied by z, and then multiplied by z again.

so if z is 2, it's 2x 2 = 4 x 2 = 8

let me know if you have questions

The two expressions are not equivalent to each other.

Equivalent expressions are expressions that are equal and synonyms to each other when used differently with various mathematical concepts.

From the expressions given:

Let us assume that:

z^3 = 3z

Now, let's replace 2 for the value of z on both sides, we have:

(2)^3 = 3(2)

8 ≠ 6

Learn more about equivalent expressions here:
https://brainly.com/question/2972832

Step-by-step explanation:

it is just 2.50 divided by 5 will give you 0.5

Answer:

$6.37

Step-by-step explanation:

You divide 2.80 by 20 to find the percentage of tax then you simply multiply your percentange by the cost. In this problem the tax was 14% or .14, so you multiply .14 by 45.50 to find the amount of tax on the purchase

Answer:

ya yeet 69 420 peepeepoopoo check

Step-by-step explanation:

Answer: y-3x=12. y=3x+12. If the line is perpendicular it means its slope is the negative reciprocal of the given lines slope. m = 3 negative reciprocal = -1/3. So the slope of the equation of the line

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

(-1)(m)^(-1)

this is the way to make a slope perpendicular

y=mx+b

m=slope

b=y-intercept

so:

(-1)(3)^(-1)

-1/3 is the slope of the line that is perpendicular to y=3x-12

Hope that helps :)

Please give brainliest

Answer:

The mean average of all "six" students is 36.83.

Step-by-step explanation:

Mean:

The mean is the sum of all scores divided by the number of scores.

A group of five students have a mean test score of "34.2." Another student has a score of 50.

This means that the sum is given by:

[tex]S = 5*34.2 + 50 = 171 + 50 = 221[/tex]

What is the mean average of all "six" students?

Sum of 6 students is 221. So

[tex]M = \frac{221}{6} = 36.83[/tex]

The mean average of all "six" students is 36.83.

Answer:

15x + 7

Step-by-step explanation:

i set this up

8x + 16 + 7x -9

the next step is to combine like terms

8x + 7x = 15x

16 - 9 = 7

15x = 7

15x + 7

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Explanation:

If you plug in x = -2, then,

y = 4x-2

y = 4(-2)-2

y = -8-2

y = -10

This shows that the answer must be choice D, as this is the only answer that has x = -2 lead to y = -10. Note the first column of table D.

We could stop here if you wanted.

----------------------

If we kept going and plugged in x = 0, then,

y = 4x-2

y = 4(0)-2

y = 0-2

y = -2

We have x = 0 lead to y = -2. This matches with the second column of table D.

-----------------------

Lastly, if we plugged in x = 2, then we get,

y = 4x-2

y = 4(2)-2

y = 8-2

y = 6

So the third column of table D is also confirmed.

Answer:

$260

Step-by-step explanation:

Divide $780.00 by 3.

780 ÷ 3 = $260

least common denominator is the lowest common multiple of the denominators of a set of fractions. It simplifies adding, subtracting, and comparing fractions.

Answer:

12

Step-by-step explanation:

Because it is the lowest number that both 4 and 6 can reach by multiplying with whole numbers

:)

Answer: Line J  

A is the answer