Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find the probability of a bone density test score greater than −1.66.

Answer:

y = - x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (6, 0) ← 2 points on the line

m = [tex]\frac{0-6}{6-0}[/tex] = [tex]\frac{-6}{6}[/tex] = - 1

The line crosses the y- axis at (0, 6 ) ⇒ c = 6

y = - x + 6 ← equation of line

Answer:

Step-by-step explanation:

write an equation to present total (T) that each team has raised after selling (x) number of raffle tickets

Volleyball Team:  T(V) = 2.50x(V)

The problem staes use x for the number of tickets, but I've noted these numbers as a function of basketball, x(B), and volleyball, x(V).

We know the amounts each team has raised, sio we can calculate the number of tickets:

Basketball

 $275 = $4.50x(B)

x(B) = 61.11  [There can't be 0.11 ticket, so round down to 61 and declay an error in making change]:  61 tickets from the Baseball team

 $500 = $2.50x(V)

x(V) = 200 tickets from the Volleyball team

---

"write an equation that would represent when the basketball team would have more money than the volleyball team."

We want the ratio of T(B) to T(V) to be greater than 1 [the total basketball sales are greater than the total Volleyball sales.]

T(B)/T(V) = ($4.50x(B))/($2.50x(V))

1 <= ($4.50/$2.50)*(x(B)/x(V))

1 <= 1.8(x(B)/x(V))

x(V) <= 1.8*(x(B))

The baseball team needs to sell 1.8 times the number of tickets sold by the baseball team.

----

The basketball team is jealous and wants to know how many more tickets they need to sell to catch up with the volleyballers.

To reach $500:

 $500 = $4.50*x(B)

x(B) = 111.11  (Another rounding problem, but we don't need to worry.  It wants to kniow "how many MORE."

(111.11 - 61.11) = 50 more tickets to reach the same $500 the Volleyball team has collected.

we have (6/7c)^2 = (6^2)/(7c)^2 = 36/49c^2

so the answer is D

ok done. Thank to me :>

Answer:

c  the factor of the inequality is correct - took this test already

Step-by-step explanation:

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

You find the x-intercept by setting y=0 and solving for x.

  8x -1/3(0) = 16

  8x = 16

  x = 16/8 = 2

The x-intercept is 2.

_____

Additional comment

As you can see, the x-intercept is the ratio of the constant to the x-coefficient. The same is true for the y-intercept. It is 16/(-1/3) = -48.

Answer: See below.

Step-by-step explanation:

See attachment. It depends on what is considered the "third" term. If n=2 then the result is 16. If 3, the result is 36.

Answer:

-3xy^3 (7xy^2z-4y-12)

Step-by-step explanation:

Simply factor out "-3xy^3." GL!

Answer:

so in both you can see that 7xy is common . Thus it is a common factor.Step-by-step explanation:

Answer:

90

Step-by-step explanation:

start from the beginning, then if you go 2 steps at a time, then you have 1 step left over at the end, let's assume the length of the stair case is x, so then we will be going up 2/3x steps, and have 1/3 x steps left.

2/3 x = somewhere between 80 and 90, so that means it must be divisible by 3, so 81,84,87,90

3/5 x ==> only 90

Answer:

5/12

Step-by-step explanation:

Answer: y=9

Step-by-step explanation:

both points have 9 as the y coordinate

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

[tex]\large\bold{Equation:}[/tex]

[tex]\large\bold{Solution:}[/tex]

Let's solve for f

[tex]\large\sf{F(4p + 3) = 8 - 5(4p + 3)}[/tex]

1st step: Factor out variable f

2nd step: Divide both sides by 4p+3

[tex]\large\bold{Answer:}[/tex]

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

How is it? Hope you appreciate and understand my answer. Have a great and nice day ahead!!

^^

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer....

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

0

Step-by-step explanation:

-5/6 - (-5/6)

Negative times a negative is a possitive

-5/6 + 5/6

0

Hopes this answers your question. :)

Answer: 0

Step-by-step explanation:

-5/6 - -5/6 =

-5/6 + 5/6 =

-5 + 5

   6

= 0/6

=0

Answer:

22

Step-by-step explanation:

it's 22 percent I don't get how do u need help

Answer:

about 1 cup maybe less

Step-by-step explanation:

Answer:

what do you need help with

Answer:

Step-by-step explanation:

-6x-2y= -26

3(-6x-2y)= -26*3

-18x-6y= -78

(subtract this from the first equation)

(-2x-6y)-(-18x-6y)= -14+78

16x=64

x=4

Now that we know x= 4 we can plug that into an equation and solve for y

-2(4)-6y= -14

-8-6y= -14

-6= -6y

y= 1

x=4

y= 1

(4,1)

the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.

In a 30°-60°-90° triangle, the ratios of the side lengths are as follows:

- The side opposite the 30° angle is half the length of the hypotenuse.

- The side opposite the 60° angle is √3 times smaller than the hypotenuse.

- The hypotenuse is twice the length of the side opposite the 30° angle.

Let's denote the length of the shortest side as "x" (which is half an inch, i.e., x = 0.5 inches).

Then:

- The side opposite the 30° angle = x = 0.5 inches

- The side opposite the 60° angle = √3 * x = √3/2 inches

- The hypotenuse = 2 * x = 2 * 0.5 inches = 1 inch

So, the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.

Learn more about triangle here

https://brainly.com/question/16929864

#SPJ2

Answer:

A) AAS

D) CDE ≅ FDE

Step-by-step explanation:

∠C ≅ ∠F              Given

∠DEC ≅ ∠EDF    Given

DE ≅ DE               Reflexive property

ΔCDE ≅ ΔFDE        AAs congruent

Answer:

76 quarters, 3 dimes

Step-by-step explanation:

if the whole number is 19, you would have to figure out how many quarters would be in 19$. 76 quarters are in 19$. then you would have to figure out how many dimes are in 30 cents, there are 3 dimes in 230 cents

Answer:

66 Quarters and 28 dimes

Step-by-step explanation:

.10d + .25Q = 19.3Q

d + Q = 94

so d = 94 - Q

Substitution method:

.10(94 - Q) + .25Q = 19.30

9.4 - .10Q + .25Q = 19.30

9.4 + .15Q = 19.30

.15Q = 9.9

Q = 66 so d = 94 - 66 = 28

Answer:

793

Step-by-step explanation:

Arithmetic sequences are basically linear equations, so as input increase by one output always increases by the same amount. In sequences this is called common difference. To find it, just subtract one term by the term right before it.

So, -10--21=11 and also 1--10=11

so common difference is 11

now we will use the formula Asubn=Asub1+d(n-1)

D is Common difference and n is the term you're solving for. The n-1 is a result of the first term being in the formula. When one is plugged into n-1 you get zero and then multiply d by zero and you get zero and are left with Asub1

Anyways, Asub75=-21+11(75-1)=793

Answer:

5^(3) is the exponent form which equals 125desks

Step-by-step explanation:

A row has 5 desks

A classroom has 5 rows of desks= 5*5 desks

The school has 5 classrooms

=5*5+5*5+5*5+5*5+5*5 desks

=5^(2)+5^(2)+5^(2)+5^(2)+5^(2)

=5[5^(2)]

=5^(3) = 125 desks

Answer: 0 bricks

Step-by-step explanation:

2,913 milligrams (mg) is only 2.913 grams.  It takes 1,000 grams to make a kilogram.  2,913 mg is only 0.002913 kg.  

Explanation:

Because point A is the center of dilation, it will stay fixed. It never moves. Everything else around it will move. Specifically, every point but A will move inward closer to A.

To get from A to B, we move 9 spaces. The scale factor 1/2 means we'll move half that amount and 9/2 = 4.5 spaces will be between A' and B'. Relabel A' as point E, and change the name of B' to F.

To go from A to D, we do the following steps

Cut each of those values in half to get 9/2 = 4.5 and 6/2 = 3. The results 4.5 and 3 are the horizontal and vertical distances we must travel when going from A' to D'. We'll relabel point D' as point H.

To go from D to C, we move 3 spaces. This cuts in half (again because of the scale factor) to get 3/2 = 1.5 spaces which is the distance from D' to C', aka from H to G.

Everything is marked in the diagram below.

Answer:

x = 1/2 or x = 2/3

Step-by-step explanation:

6x^2 = 7x - 2

=> 6x^2 - 7x + 2 = 0

=> 6x^2 - 3x - 4x + 2 = 0

=> 3x (2x - 1) -2 (2x - 1) = 0

=> (2x - 1) (3x - 2) = 0

2x - 1 = 0

=> 2x = 1

=> x = 1/2

or

3x - 2 = 0

=> 3x = 2

=> x = 2/3

Hopefully this helps!!

Answer:

x = [tex]\frac{2}{3}[/tex] , x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

6x² = 7x - 2 ( subtract 7x - 2 from both sides )

6x² - 7x + 2 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 6 × 2 = 12 and sum = - 7

The factors are - 3 and - 4

Use these factors to split the x- term

6x² - 3x - 4x + 2 = 0 ( factor the first/second and third/fourth terms )

3x(2x - 1) - 2(2x - 1) = 0 ← factor out (2x - 1) from each term

(2x - 1)(3x - 2) = 0

Equate each factor to zero and solve for x

3x - 2 = 0 ⇒ 3x = 2 ⇒ x = [tex]\frac{2}{3}[/tex]

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]

Based on the weight of the old box of crackers, we can infer that the weight of the new box is 14.4 ounces.

The old box weighed 12 ounces and the new box has 20% more than the old box had.

The new box should therefore weigh 20% more than the old box which means that it weighs:

= Weight of old box x ( 1 + increase in new box)

= 12 x (1 + 20%)

= 14.4 ounces

In conclusion, the new box weighs 14.4 ounces.

Find out more at https://brainly.com/question/2051201.

Answer:

Step-by-step explanation:

To complete the 1st model you have to put 5 red chips

To complete the 2nd model you have to put 10 yellow chips

To complete the 3rd model you have to put 8 red chips

But to understand why we are putting a certain number of yellow or red chips

we have to understand the zero pairs method meaning one positive and one negative zero out each other

Answer:

97

Step-by-step explanation:

100-3(3y-4x)

97(3×7-4×5)

97(21-20)

97(1)

=97