The recommended adequate intake (RAI) of calcium for adults is 1000 mg. per day. To investigate the calcium intake of people living below the poverty level, a researcher obtained a random sample of 18 adults below the poverty level and found a mean daily calcium intake of 947.4 mg.

Required:
a. Determine the margin of error
b. Find 95% confidence interval fo rthe population mean
c. Interpret the confidence inteval. ( explain what it tells us about the estimated mean daily camlium intake for the population).

Answer:

Step-by-step explanation:

The total number of marbles is 20

Question A

P(Red) = 4/20 = 1/5

P(yellow) = 9/20

P(Red then Yellow) = 1/5 * 9/20 = 9 / 100

Question B

P(B) = 6/20

P(B again) = 5/19 because you  have 1 less total plus 1 less blue.

P(B and B) = 6/20 * 5/19

P(B and B) = 30/ 380 = 3/38

Answer:

[tex]V=7.45\times 10^{15}\ mm^3[/tex]

Step-by-step explanation:

The radius of each lollipop is 121212 mm

We need to find the volume of each lollipop. The volume of a sphere is given by :

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

Put all the values,

[tex]V=\dfrac{4}{3}\times 3.14\times (121212 )^3\\\\V=7.45\times 10^{15}\ mm^3[/tex]

So, the volume of each lollipop is equal to [tex]7.45\times 10^{15}\ mm^3[/tex].

Option A is the answer of this question.

Answer:

22 yards

Step-by-step explanation:

p = 4s

88 = 4s

22 = s

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

Given

[tex]y = -2x^2 + 12x +7[/tex]

Required

The x coordinate of the vertex

Using the general form:

[tex]y = ax^2 +bx +c[/tex]

The x coordinate is:

[tex]x = -\frac{b}{2a}[/tex]

In [tex]y = -2x^2 + 12x +7[/tex]

[tex]a = -2[/tex]

[tex]b = 12[/tex]

[tex]c = 7[/tex]

So, we have:

[tex]x = -\frac{b}{2a}[/tex]

[tex]x = -\frac{12}{2*-2}[/tex]

[tex]x = -\frac{12}{-4}[/tex]

[tex]x = \frac{12}{4}[/tex]

[tex]x = 3[/tex]

Answer:

10

Step-by-step explanation:

4x=40

40/4= 10

Answer:

Yes, the given triangle is right angled

Step-by-step explanation:

To confirm if the given triangle is right angled, we have to apply pythagoras theorem. It states, if a triangle is right angled then

Hypotenuse² = Base² + Perpendicular²

We know that the longest side is hypotenuse.

ie; (145)² = (143)² + (24)²

(145)² = 20449 + 576

21025 = 21025

As LHS = RHS, it is clear that the given triangle with sides 24, 143 and 145 units is right angled

Answer :

Cost of running shoes = $92

Cost of total expenditure = $122

It is given that the four pairs of socks cost the same so if we let the cost of one pair of socks as s then 4 pairs of socks will cost us $ 4s

Thus the equation formed will be ,

Option D is the correct answer

Answer: mean; time to complete round; quantitative

Step-by-step explanation:

Based on the information given in the question, the time to complete the round will be the variable of interest.

The confidence interval for a population (mean) should be constructed because the variable of interest is (time to complete round) which is a (quantitative) variable.

Answer:

[tex]P(x > 4.5)= 0.983943[/tex]

Step-by-step explanation:

Given

[tex]\mu = 6[/tex]

[tex]\sigma = 0.7[/tex]

Required

[tex]P(x > 4.5)[/tex]

Start by calculating the z score

[tex]z = \frac{x - \mu}{\sigma}[/tex]

So:

[tex]z = \frac{4.5 - 6}{0.7}[/tex]

[tex]z = \frac{-1.5}{0.7}[/tex]

[tex]z = -2.143[/tex]

So, we have:

[tex]P(x > 4.5)= 1 - P(x < 4.5)[/tex]

This gives:

[tex]P(x > 4.5)= 1 - P(x < z)[/tex]

[tex]P(x > 4.5)= 1 - P(x < -2.143)[/tex]

Using the z score probability table, we have:

[tex]P(x > 4.5)= 1 - 0.016057[/tex]

[tex]P(x > 4.5)= 0.983943[/tex]

Answer:

The answer is "3.329".

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]\text{test statistic t} = \frac{slope}{standard \ error}[/tex]

                      [tex]=\frac{0.789}{0.237}\\\\=3.329[/tex]

Answer:

84.82

Step-by-step explanation:

Answer: 84.82

Step-by-step explanation:

Answer:

16 yd

Step-by-step explanation:

If a is missing, then use the square root of c^2-b^2. In this case that means you find the square root of 20^2-12^2. 20^2 is 400, and 12^2 is 144. When you subtract 144 from 400 you get 256. The square root of 256 is 16. I hope this helps :)

Answer:

16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

Identify variables

Leg a = a

Leg b = 12

Hypotenuse c = 20

Step 2: Solve for a

Answer:

According to hypotenuse

39²+b²=65²

b²=65²-39²

b²=4225-1521

b=√2,704

b=52 km

Answer:

I don't see where the question is...

Step-by-step explanation:

Answer: Choice A

A translation 4 units to the left followed by a dilation by 2

=============================================================

Explanation:

The following transformations will make the pre-image and image congruent to one another:

If you apply any of those transformations mentioned above, then the image is an identical copy of the pre-image. Nothing about the figure has changed other than it has been shifted, rotated, or reflected in some way. The figure retains its original size and shape. These transformations are called isometries.

A dilation on the other hand does not preserve the size. "Dilation by 2" means the scale factor is 2, so the image will be twice as large compared to the pre-image, in terms of linear dimension. This means there is no way the image is congruent to the pre-image if a dilation has occurred.

Based on all this, choice A is the answer. Choices B, C, and D only involve the three isometries mentioned earlier and no dilation at all, so they can be ruled out.

Answer:

[tex] y=0.46591x+7.71591[/tex]

Step-by-step explanation:

Labelled points are [tex] (21,\: 17.5)=(x_1,\:y_1) \: \&\:(43,\: 27.75)=(x_2,\:y_2) [/tex]

Slope of line (m) [tex] =\frac{27.75-17.5}{43-21} =\frac{10.25}{22} =\frac{41}{88} [/tex]

Equation of line in point - slope form is given as:

[tex] y-y_1 = m(x-x_1) [/tex]

[tex] \therefore y-17.5= \frac{41}{88} (x-21) [/tex]

[tex] \therefore y= \frac{41}{88} x-\frac{861}{88}+17.5[/tex]

[tex] \therefore y= \frac{41}{88} x+17.5-\frac{861}{88}[/tex]

[tex] \therefore y= \frac{41}{88} x+\frac{1,540-861}{88}[/tex]

[tex] \therefore y= \frac{41}{88} x+\frac{679}{88}[/tex]

[tex] \therefore y=0.465909091x+7.71590909[/tex]

[tex] \therefore y=0.46591x+7.71591[/tex]

Answer:

Answer D

Step-by-step explanation:

The answer here is D since all of the other ones have at least one option that is perpendicular to segment EF.

Answer:

A

Step-by-step explanation:

The product of  the expression [tex]\frac{x^2 - 16}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex]  is [tex]\frac{x(x- 1)(x - 4)}{x(x + 4)}[/tex]

An expression is an algebraic term used for a mathematical statement that include variables and mathematical operations

Below is how to calculate the product

The product expression is given as:

[tex]\frac{x^2 - 16}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex]

Express x^2 - 16 as a difference of two squares

[tex]\frac{(x - 4)(x + 4)}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex]

Divide the expression

[tex]\frac{x - 4}{2} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex]

Factorize the other fraction

[tex]\frac{x - 4}{2} * \frac{x(x^2 - 2x + 1)}{(x -1)(x + 4)}[/tex]

Further factorize

[tex]\frac{x - 4}{2} * \frac{x(x- 1)(x - 1)}{(x -1)(x + 4)}[/tex]

Divide

[tex]\frac{x - 4}{2} * \frac{x(x- 1)}{x + 4}[/tex]

Multiply the fractions

[tex]\frac{x(x- 1)(x - 4)}{x(x + 4)}[/tex]

Hence, the product of  [tex]\frac{x^2 - 16}{2x + 8} * \frac{x^3 - 2x^2 + x}{x^2 + 3x - 4}[/tex]  is [tex]\frac{x(x- 1)(x - 4)}{x(x + 4)}[/tex]

Read more about algebraic expressions at:

https://brainly.com/question/4344214

Answer:

x = -8 Hope that helps bye!

Step-by-step explanation:

1. Subtract 3x from both side -5=5x+11-3x

2. Simplify 5x+11-3x= 2x+11

3. Subtract 11 from both sides -5-11=2x

4. Simplify -5-11= -16=2x

5. Divide both sides by 2 -16/2=x

4. Simplify 16/2 = -8 = x

5. Switch sides x= -8 would be your answer and if you want to check it just do 3x-5=5x+11 let x=-8  1. 3×-8-5=5×-8+11

2. 3×-8= -24 do -24-5=5×-8+11

3. Simplify 5×-8= -40 do -24-5=-40+11

4. Simplify -24-5= -29 do -29= -40+11=-29

-29=-29 this shows that x= -8 is your answer if you want to see if I'm right.

Answer:

Hello!

5: -11

6: -10

7: 7

8: 6

Hope that helps!

Answer:

50.24 cm²

Step-by-step explanation:

a = πr^2

r = d/2 = 8/2 = 4

a = 3.14(4²)

a = 3.14 * 16

a = 50.24 cm²

Answer:

dony west receive $1830000

Answer:

c = 9.76165m

c = 9.8m

Step-by-step explanation:

The formula for this is [tex]a^{2} +b^{2} =c^{2}[/tex]

or [tex]c = \sqrt{a^{2} +b^{2} }[/tex]

Answer:

The aswer is buy a rabbit

Step-by-step explanation:

Answer:

1611.372

Step-by-step explanation:

Answer:

no pasa nada

Step-by-step explanation:

espero que eso te ayude:)

Answer:

Cualquier número dividido entre si mismo da como resultado 1