1. Suppose that the weights of 3500 registered female Great Danes in the United States are
distributed normally with a mean of 125 lb. and a standard deviation of 5.2 lb.
Approximately how many of the Great Danes weigh more than 130.2 lbs.?

2. Body mass index, or BMI, of 18-year-old females are normally distributed with a mean of 24.6 and
a standard deviation of 2.4. Eighteen-year-old Sasha BMI has a z-score of 1.22.
What is Sasha’s BMI?

3. An experiment compares weight of fish for two different brands fish food. Nacho Average Minos
fish food has a mean fish weight 12 lbs., and a standard deviation of 1.4 lbs. Impossible Minos fish
food has a mean fish weight of 14 lbs. and a standard deviation of 1.2 lb. A fish is measured to be
13.1 lbs. Which brand of fish food, Nacho Average Minos, or Impossible Minos, is more likely to have
been used to feed this fish?


4. Height of 10th grade boys is normally distributed with a mean of 66.9 in. and a standard deviation
of 2.5 in.
The area greater than the z-score is the probability that a randomly selected 15-year-old boy
exceeds 71 in.
What is the probability that a randomly selected 10th grade boy exceeds 71 in.?
Use your standard normal table.

5. Heights for 16-year-old girls are normally distributed with a mean of 64 in. and a standard
deviation of 1.9 in.
Find the z-score associated with the 90th percentile.
Find the height of a 16-year-old girl in the 90th percentile.
State your answer to the nearest tenth of an inch.

Answer:

Radius = 8in

Step-by-step explanation:

[tex] \hookrightarrow \sf \: V = {\pi r}^{2} h[/tex]

Where,

⇢ 3014.4 = (3.14)(r²)(15)

⇢ 3014.4 = (r²)(47.1)

⇢ 3014.4 = 47.1r²

⇢ 3014.4/47.1 = 47.1r²/47.1

⇢ 64 = r²

⇢ r = √64

⇢ r = 8

[tex] \therefore [/tex] The value of radius is 8 inches

Answer:

D

Step-by-step explanation:

Its saying a line which is not two lines. Parallel lines contain 2 lines not 1.

Answer:

32 : 3

Step-by-step explanation:

Answer- 32 : 3

Divide Both Sides By 20

The gross margin cost for the case when the considered retailer’s gross margin on a $150 item is $40 is 26.67% approximately.

We want to know how much percent of 'b' is 'a'.

Then, it is calculated as:

[tex]\dfrac{a}{b} \times 100[/tex]

(in percentage)

Given that:

Here we assume that the term GMC is referring to gross margin cost.

Let this gross margin cost (GMC) $40 be P% of the original cost of the item $150.

Then, we get:

[tex]p = \dfrac{40}{150} \times 100 \approx 26.67 \text{(in percentage)}[/tex]

Thus, the gross margin cost for the case when the considered retailer’s gross margin on a $150 item is $40 is 26.67% approximately.

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Answer:

$7897.5

Step-by-step explanation:

..............

Answer:

So, draw a number line on a piece of paper. Then, divide it into eight parts and graph the points (I did them in the colors of the ribbons)

Answer:

- 0.2588

Step-by-step explanation:

Theory: sin(a - b) = sin(a)*cos(b) - cos(a)*sin(b)

In this case  a stands for 10 AND b stands for 25

Hence:

sin10cos25-cos10sin25 = sin (10 - 25) = sin (-15) = - sin(15) = - 0.2588

Answer:

D?

sorry if i am incorrect.

Answer:

4x+15

Step-by-step explanation:

divisor- x-3

dividend-4x^2+3x+2

to find the quotient,

dividend=(disivor X quotient)+ Reminder

4x^2+3x+2=(x-3 x 4x) + (15x+2)

4x^2 +3x+2= (x-3 x 4x + 15) + (47)

so the quotient would be 4x+15

Answer:

  x = 19

Step-by-step explanation:

The work shown is almost complete. It can be finished by multiplying both sides of the equation by the inverse of the coefficient of x.

  x-coefficient: -1/3

  inverse of x-coefficient = 1/(-1/3) = -3

Then you have ...

  [tex]-3\left(-\dfrac{19}{3}\right)=-3\left(-\dfrac{1}{3}x\right)\\\\19=x\qquad\text{simplify}\\\\\boxed{x=19}[/tex]

Answer: 5/9 of an apple

Step-by-step explanation:

Since there are more people than apples, you know that the aples are going to be cut and every person will get less than one apple. You just divide the 5 apples to the 9 people. The simple way is putting the numbers and making it a fraction. In this case, 5/9. 5 apples as the numerator and 9 people as the demoninator.

Answer:

30.56 yd²

Step-by-step explanation:

To determine the area of the composite shape, we need to:

Determining the area of shape 1 (Rectangle 1):

⇒ Area of rectangle = Lenght × Breadth

⇒                               = 2.1 × 4.8

⇒                               = 10.08 yd²

Determining the area of shape 2 (Rectangle 2):

⇒ Area of rectangle = Lenght × Breadth

⇒                               = 6.4 × 3.2

⇒                               = 20.48 yd²

Determining the area of the figure:

⇒ Area of figure = Area of rectangle 1 + Area of rectangle 2

⇒                         = 10.08 + 20.48

⇒                         = 30.56 yd²

Answer: b. x>5

Step-by-step explanation:

Answer:

the answer is x=0 and x=4

Answer:

Step-by-step explanation:

Reflection of the ocean, blue

Answer:

3

Step-by-step explanation:

9 - 3 = 6,

6 - 2 = 4,

4 - 1 = 3

Answer:

x=16

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(8+24) * 8 = x^2

32*8 = x^2

256  =x^2

Take the square root of each side

sqrt(256) = sqrt(x^2)

16 = x

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3500\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases}[/tex]

[tex]A=3500\left(1+\frac{0.02}{1}\right)^{1\cdot 5}\implies A\approx 3864.28~\hfill \underset{earned~interest}{\stackrel{3864.28~~ - ~~3500}{\approx 364.28}}[/tex]

Answer:

Whats the equation ?

Step-by-step explanation:

.

Answer:

2000+800+40+6+0.07+0.009

Step-by-step explanation:

Maybe?

The expanded form of the given term 2,846.079 can be written as; (2000+800+40+6+0.07+0.009)

The number is written in the form  [tex]a \times 10^b[/tex] where we have[tex]1 \leq a < 10[/tex] The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10.

We have to write the expanded notation for 2,846.079.

The expanded form of the given term is;

2,846.079 = 2000+800+40+6+0.07+0.009

Hence, The expanded form of the given term 2,846.079 can be written as; (2000+800+40+6+0.07+0.009)

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The difference in volume of the two cubes is 702 cm3

Step-by-step explanation :

Given-

Now, The formula for finding volume of any cube is -

Therefore, substituting values. . .

Volume of one cube = [tex] {(9)}^{3} [/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: = 9 \times 9 \times 9[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 729 \: {cm}^{3} [/tex]

Similarly,

Volume of second cube [tex] = {(3)}^{3} [/tex]

[tex] \: \: \: \: \: \: \:\: \: \: \:\: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \:\: \: \: \: \: \: = 3 \times 3 \times 3[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \:\: \: = 27 \: {cm}^{3} [/tex]

Now,

Difference in volume of two cubes = Volume of 1st cube - Volume of 2nd cube

[tex] \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \:= (729 - 27) {cm}^{3} [/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 702 \: {cm}^{3} [/tex]

Thus, the difference in volume of the two cubes comes out 702 cm3

Answer:

[tex]b = 24[/tex]

Step-by-step explanation:

Step 1:  Subtract 12 from both sides

[tex]\frac{b}{6} + 12 - 12 = 16 - 12[/tex]

[tex]\frac{b}{6} = 4[/tex]

Step 2:  Multiply both sides by 6

[tex]\frac{b}{6} * 6 = 4 * 6[/tex]

[tex]b = 24[/tex]

Answer: [tex]b = 24[/tex]

Answer:

nahh its says 10 points

Step-by-step explanation:

Answer:

idek wut that means but it says 10 not 20

The equation is (6 - x)² + 2 = -10.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

An absolute numerical number is referred to as a constant.

Variable: A symbol without a set value is referred to as a variable.

Given a phrase

“the square of the difference of six and a number, increased by two, is the same as negative 10”

the first part of phrase is,“the square of the difference of six and a number"

let the number be x

(6 - x)²

increased by 2

(6 - x)² + 2

is the same as negative 10

(6 - x)² + 2 = -10

Hence the equation is (6 - x)² + 2 = -10.

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To answer wait you put into the big, it would be .28 since when making a percentage a decimal you move the decimal point to the left twice. There is always an invisible decimal after a whole number (ex. 28.0). And to find out what 28% of 140 is you simply do .28 x 140 to find that, which is 39.2.

Hope this helps!

Answer:

86 Degrees

Step-by-step explanation:

First we need to apply the defenition of a Supplementary Angle: A supplrementary angle means an angle whos measure is 180degrees.

As we are given two angles labled supplementary we must know that angleA + angleB = 180degrees.

Now we are given two equations for the measure of each angle.

measure of A = 6x+10

measure of B = 4x+30

We simply plug this into the first equation I've stated above.

6x+10 + 4x+30 = 180

Simplify

10x+40 = 180
10x = 140
x = 14

Now that we have X, we plug this into the measure B equation to get the measure.

4x + 30
(Plug 14)
4(14) + 30

56 + 30

86 Degrees