The heights of adult men in America are normally distributed, with a mean of 69.1 inches and standard deviation of 2.65 inches. It is sometimes said that women don't like to dance with shorter men. To get a dancing partner, a 6-foot two-inch tall woman draws from a hat the name of an adult American male. What is the probability that he will be as tall as she?

Answer:

Option D:  [tex]\displaystyle\mathsf{-\frac{4}{5}\:\leq\:x}[/tex]

Step-by-step explanation:

GIven the following inequality statement:

[tex]\displaystyle\mathsf{7x\:+\:6\:\geq \:\frac{-x}{2}}[/tex]

Start by eliminating the fraction on the right-hand side.

Multiply both sides of the inequality statement by 2:

[tex]\displaystyle\mathsf{2(7x\:+\:6)\:\geq \:\bigg[\frac{-x}{2}\bigg](2)}[/tex]

2(7x + 6) ≥ -x

Next, distribute 2 into the terms inside the parenthesis:

14x + 12 ≥ -x

Subtract 12 from both sides:

14x + 12 - 12 ≥ -x - 12

14x  ≥ -x - 12

Add x to both sides:

14x + x  ≥ -x + x - 12

15x ≥ - 12

Divide both sides by 15 to isolate x:

[tex]\displaystyle\mathsf{\frac{15x}{15}\:=\:\frac{-12}{15}}[/tex]

[tex]\displaystyle\mathsf{x\geq -\frac{4}{5}}[/tex] or  [tex]\displaystyle\mathsf{-\frac{4}{5}\:\leq\:x}[/tex]

Therefore, the correct answer is Option D:  [tex]\displaystyle\mathsf{-\frac{4}{5}\:\leq\:x}[/tex]

Answer:

1) Make sure the bottom numbers (the denominators) are the same.

2) Subtract the top numbers (the numerators). Put the answer over the same denominator.

3) Simplify the fraction (if needed).

Step-by-step explanation:

Hope this helps!

Answer:

Lisa earned $247.50 for working 33 hours.

Step-by-step explanation:

WAY 1: proportional reasoning

7.50 x

------ = ----

1 h 33h

33 / 1 = 33

7.50 x 33 = 247.5

WAY 2: unit rate reasoning

7.50 per hour so x value of money for 33 h

7.50 x 33 = 247.5

Answer:

247.50 Dollars

Step-by-step explanation:

If Lisa earns 7.50$ per hour and she has worked for 33 hours, and then if the question asks how much money she earned it'd have to be 7.50*33. Which is 247.50, and its asking how much money so then you'd have to write the dollars next to the answer, so the answer is,

247.50 Dollars

Answer:

10×5

Step-by-step explanation:

put a zero at the end of five and make it 50

Answer:

y = 139 + x³ + 17

Step-by-step explanation:

The word "sum" means the amount resulting from addition in an equation. This means that we are adding all of these numbers together.

The word "product" means the amount resulting from multiplication in an equation, this means we need to find the product of a number multiplied by itself three times. Since we don't know what number it is, we can use the variable 'x'.

So, you would be adding 139, the product of x³, and 17, which would be written as y = 139 + x³ + 17.

Answer:

I'm going to call the length of the bracelet the number of times you have to add to get back to the first bead. This is the same as the number of beads, except in one case:

The shortest bracelet has length 1 and starts with (0,0). If you add one time, you get back to the first 0. But the bracelet has two beads. (Every bracelet has to have at least two beads to start.)

The next shortest bracelet starts with (0,5), and has length 3:

0 5 5

There is a bracelet of length 4 that starts with (2,6) (the first example on the main page):

2 6 8 4

There is a bracelet of length 12 that starts with (1,3) (the second example on the main page):

1 3 4 7 1 8 9 7 6 3 9 2

There is a bracelet of length 20 that starts with (0,4)

0 4 4 8 2 0 2 2 4 6 0 6 6 2 8 0 8 8 6 4

There is a bracelet of length 60 that starts with (0,1)

(I'll let you have the fun of writing all the beads.)

Step-by-step explanation:

Answer:

7.5minutes

Step-by-step explanation:

If it travels 2kilometers every 3 min, that means it travels 2/3 kilometer per minute. Then divide 5 kilometers by 2/3kilometers/min, which gets you 7.5minutes

Answer:

1950-1980

Step-by-step explanation:

...........

[tex]2x^2-8x=2x(x-4)[/tex]

Answer:

2x ( x - 4)

Hope that helps?

Answer:

Yes, it does

Step-by-step explanation:

More Men like the Pizza and Hambugers more than the girls. Both like shushi Equaly but 2 beats 1 am a right.

Answer:

1. 59  2.90  4.31   3. Sorry I dunno

Step-by-step explanation:

1. the 59 degrees is the same.

2. It's a perfect angle

3. Sorry

4.180-90-59=31

The statement that a ratio of two measurements having different units of measure IS ONE is false

Ratios are used to relate measurements of different quantities.

The measures of the quantities may or may not be one (1).

When the second quantity has a measure of one, then the ratio is called a unit rate.

So, the quantities may be one, but it is not a requirement that the measure of one or both quantities be one.

Hence, the statement is false

Read more about ratios at:

https://brainly.com/question/14341008

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve ~

Hence, the required power in fractional form is ~

Answer:

0(-2+2)=0

Step-by-step explanation:

x=0

x=-2

0(-2+2)=0

Answer:

Please send a picture or explain properly

Answer:

what ang hirap nmn anong grade ka na ba

Answer:

Step-by-step explanation:

36 inches  = 3 ft

max height of lumber stack is 7 - 3 = 4 ft.

4 ft = 48 inches

48 inch / 1.5 inch/board = 32 boards

ithink this is the literal answer

Answer:

See below

Step-by-step explanation:

W (-1, 0) W' (-2, 0)

X (2, 2) X' (4, 4)

Y (2, -1) Y' (4, -2)

Plot these 3 points on the graph.

The simulation design could she use to estimate the probability is

Number cube

Let 1, 6 = literature

Let 2, 5 = fiction

Let 3, 4 = poetry

Roll the cube three times. Repeat.

Simulation is the process of creating a model or representation of a real-world system or process and conducting experiments with the model to observe how it behaves or performs under different conditions.

We have,

This simulation design assigns each book in the teacher's collection a unique number from 1 to 6, with literature books assigned the numbers 1 and 6, fiction books assigned the numbers 2 and 5, and poetry books assigned the numbers 3 and 4.

Rolling a number cube simulates the teacher randomly selecting a book each day, and repeating this process three times allows for the estimation of the probability that three consecutive selections will be literature books.

This simulation design is appropriate because it accurately represents the probabilities of selecting literature, fiction, and poetry books from the teacher's collection and allows for repetition to simulate multiple days of book selections.

Thus,

The simulation design could she use to estimate the probability is

Number cube

Let 1, 6 = literature

Let 2, 5 = fiction

Let 3, 4 = poetry

Roll the cube three times. Repeat.

Learn more about simulations here:

https://brainly.com/question/16670333

#SPJ7

Answer:

Line EF

Step-by-step explanation:

Planes intersect at lines

The planes ABFE and EFGH intersected by line EF.

A prism is a polyhedron in geometry made up of an n-sided polygon basis, a second base that is a rigidly translated copy of the first base, and n additional faces that must all be parallelograms and connect the corresponding sides of the two bases.

We have cuboidal prism which have faces ABFE and EFGH.

To find the point for intersecting we have to find a point or line which is common in both planes.

Here the point E and F are common.

But the plane EF is also common

Thus, the intersecting line is line EF.

Learn more about Prism here:

https://brainly.com/question/29722724

#SPJ2

Answer:

Step-by-step explanation:

B

whether the negative sign is next to the fraction bar or next to the numerator, it doesnt matter.

A results in the last number being different from the one in the question.

answer is B

Answer:

Invalid

Step-by-step explanation:

This is invalid because you don't have to go some were to love something.

Answer:

Invalid

Step-by-step explanation:

All graduates love football;

This means all people who are graduates will love the football, it tells us nothing at all about people who are not graduates;

These people may love football or they may not;

Tom loves the football, thats all we are told;

He could, therefore, fall into either category, being a graduate since all graduates love the football or not being a graduate, since these might also love the football.

Answer:

25%

Step-by-step explanation:

[tex] \frac{1200}{960} \times 100 \%= 1.25\% \\ [/tex]

so it increases 25%

Answer:

The dots have a weak positive correlation.

Step-by-step explanation:

The values on the graph, or dots, are generally going upwards, meaning they are positive. If they were generally going downwards, or from the top left to bottom right, they would be negative.

The values are not tightly packed together. If they were, they would have a strong positive correlation. Instead, they are loosely around each other. But because they are not completely random all over the graph, the correlation is weak.

Hence, the values on the graph have a weak and positive correlation.

Answer:

[tex]\huge\boxed{-y^2+2y}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]y\cdot\left(7\sqrt[3]{8y^2}-\sqrt[3]{y^5}-4y\sqrt[3]{27y^2}\right)\\\\=(\sqrt[3]y)(7\sqrt[3]{8y^2})-(\sqrt[3]y)(\sqrt[3]{y^5})-(\sqrt[3]y)(4y\sqrt[3]{27y^2})\\\\=7\sqrt[3]{(y)(8y^2)}}-\sqrt[3]{(y)(y^5)}-4y\sqrt[3]{(y)(27y^2)}\\\\=7\sqrt{8y^3}-\sqrt{y^6}-4\sqrt{27y^3}\\\\=7\sqrt[3]{2^3y^3}-\sqrt{y^{2\cdot3}}-4\sqrt{3^3y^3}\\\\=7\sqrt[3]{(2y)^3}-\sqrt{(y^2)^3}-4\sqrt{(3y)^3}\\\\=7\cdot2y-y^2-4\cdot3y\\\\=14y-y^2-12y\\\\=-y^2+2y[/tex]

Used:

[tex]a(a+b)=ab+ac\\\\\sqrt[3]{a\cdot b}=\sqrt[3]a\cdot\sqrt[3]b\\\\\sqrt[3]{a^3}=a\\\\(a^n)^m=a^{n\cdot m}[/tex]