Suppose that an individual has a body fat percentage of 16.7% and weighs 188 pounds. How many pounds of his weight is made up of fat? Round your answer to the nearest tenth.

Answer:

The matrix that represents the system of equations is:

[tex]\left[\begin{array}{ccc}0&1&10\\4&-5&3\end{array}\right][/tex]

Step-by-step explanation:

We will use the first column for x, the second to y and the last for the independent term.

We have:

[tex]y=10\rightarrow0x+1y=10\\\\4x-5y=3[/tex]

Then, we can write the matrix to represent the system of equations as:

[tex]\left[\begin{array}{ccc}0&1&10\\4&-5&3\end{array}\right][/tex]

Answer: They can do 56 different combinations.

Step-by-step explanation:

Answer: The required area of the exposed 2-dimensional shape would be 137.5 sq. inches.

Step-by-step explanation:

Given, There is a rectangular prism with a length of 12.5 in., a width of 11 in. and a height of 4 in.

If we make a horizontal slice through it, then we will have two-dimensional figure called 'rectangle' with dimensions length by width as 12.5 in. by 11 in.  [As per given]

Then, the area of the exposed 2-dimensional shape = Area of the reactngle

= Length x width

[tex]=12.5\text{ in.}\times11\text{ in.}\\\\=137.5\text{ in.}^2[/tex]

Hence, the required area of the exposed 2-dimensional shape would be 137.5 sq. inches.

Answer: [tex]\$8.62/\text{Pound}[/tex]

Step-by-step explanation:

Given

There is [tex]7\ kg[/tex] of ham available which costs

cost[tex]=\$\ 19/kg[/tex]

i.e.

[tex]1\ kg\ \text{costs}\ \$19[/tex]

and we know

[tex]1\ kg=2.204\ \text{pound}[/tex]

So, [tex]2.204\ \text{Pound costs}\ \$19[/tex]

thus [tex]1\ \text{Pound costs}\ \dfrac{19}{2.204}=\$8.62/\text{Pound}[/tex]

Answer:

B

Step-by-step explanation:

For example let's set up a quadratic equation.

Let's use

f(x) = (x + 10)^2 + 7

The seven is the y intercept so let's ignore that and focus on the ten.

When we graph this we end up getting the picture below. Now, why is the vertex at -10? The reason is the equation starts off with a negative sign.

f(n) = (h - x) + k

So, if x is positive then it will remain negative but still go in positive just because the equation has a subtraction sign in it.

As a result when the equation has + 10, it shows that the x is negative because x = -10 and when you do

h- (-10) it becomes h + 10.

Hoped this helps

Answer:

(4, -25)

Vertex form: (h, k)

Answer:

Hey!

Your answer is (4, -25) in the vertex form which is (h,k)

Step-by-step explanation:

HOPE THIS HELPS!!

Answer:

y=2x-16

Step-by-step explanation:

So since we have a point and the slope, we can use the point-slope equation to find our equation of a line

y - y₁ = m(x - x₁)

Here our (x₁, y₁) point is (4, -8) and our m is 2

Plugging in these values to our equation gives us:

y - (-8) = 2(x - (4)) → distributing the negative to the -8 gives y + 8 = 2(x - 4) → distributing the 2 to the (x - 4) gives y + 8 = 2x - 8 → and finally subtracting the  8 from both sides gives our equation of a line y = 2x - 16

Answer:

  40 in³

Step-by-step explanation:

You want the volume of a cone if the volume of a cylinder with the same radius and height is 120 in³.

The formulas for the volume of a cylinder and cone are ...

  V = πr²h . . . . . volume of a cylinder with radius r and height h

  V = 1/3πr²h . . . . . volume of a cone with radius r and height h

If the volume of the cylinder is such that ...

   πr²h = 120 in³,

we can substitute for πr²h in the formula for the volume of the cone:

  V = 1/3πr²h = 1/3(120 in³) = 40 in³

The volume of the cone is 40 in³.

Answer: They are similar because they intersect with each other at (-1,3).

Answer:

Mean : 66

Mode: 80

Median:70

Step-by-step explanation:

Mean: sum divided by number of numbers. So, 330 divided by 5 which is 66

Mode most occurring, so 80.

Median arrange in ascending order and find middle value, so 70

Answer:

indeed it is

Step-by-step explanation:

Answer:

546.208

Step-by-step explanation:

Let's break this down.

5 x 100 = 500

4 x 10 = 40

6 x 1 = 6

2 x 1/10 = .2

8 x 1/1000 = .008

Now, let's add to find the number.

500 + 40 + 6 + .2 + .008 = 546.208

Therefore, the number in standard form is 546.208

The final answer of Mrs. bell expression will be 546.208

What is distributive property of multiplication over addition ?

If we multiply a number by the sum of more than two, we use the distributive property of multiplication over addition.

the expanded form of a number is written as :

5 x 100 + 4 x 10 + 6 x 1 + 2 x 1/10 + 8 x 1/1000

Let's calculate it bit by bit :

[tex]\begin{aligned}5 \cdot 100 = 500\\4 \cdot10 = 40\\6 \cdot 1 = 6\\2 \cdot \frac{1}{10} = .2\\8 \cdot \frac{1}{1000} = .008\\\end{aligned}[/tex]

Now, let's add all the terms we get :

500 + 40 + 6 + .2 + .008 = 546.208

Therefore, the number in standard form of expression written by Mrs. bell is 546.208

Read more about property of addition here :

https://brainly.com/question/14391436

#SPJ2

Answer:

36

Step-by-step explanation:

60/40 = 3/2

so you need z to be 3/2 *24 for it to be saved. 1.5*24= 36

Answer:

I want brainliest!!! u promisteed

Step-by-step explanation:

1) 180-114 = 66

angle three = 66

360 = 70 + 70 + angle two + angle two

220 = angle two + angle two

angle two = 110

Answer:

Option (2)

Step-by-step explanation:

Equation of the circle has been given as x² + 12y + 22x + y²- 167 = 0

Now we will convert this equation into the standard equation of the circle.

x² + 12y + 22x + y² - 167 = 0

(x² + 22x) + (y² + 12y) = 167

[x² + 2(11)x] + [y² + 2(6y)] = 167

[x² + 2(11)x + (11)²- (11)²] + [y² + 2(6)y + (6)²- (6)²] = 167

[x² + 1(11)x + (11)²] - (11)² +[y² + 2(6)y + 6²] - (6)² = 167

(x + 11)² + (y + 6)²- (11)²- (6)² = 167

(x + 11)² + (y + 6)² - 121 - 36 = 167

(x + 11)² + (y + 6)² - 157 = 167

(x + 11)² + (y + 6)²- 157 + 157 = 167 + 157

(x + 11)² + (y + 6)² = 324

Therefore, option (2) will be the standard equation of the given circle.

Question:

Some smells are perceived as being more feminine or more masculine. Researchers asked a random sample of 300 American adults to score quantitatively the perceived gender-orientation of lavender. Smaller scores indicate a more feminine scent and larger scores a more masculine scent. In this design, a gender-neutral scent would have a perceived gender-orientation score of 12. The participants gave the scent of lavender an average score of 10.28.

Is this evidence that the scent of lavender is not gender neutral, on average? Select the correct statement of H0, Ha, and the hypotheses parameter in the corresponding test. -

a) Let µ be the mean gender-orientation score for all smells being studied. We test H0: µ=12 versus Ha: µ≠12 ; The alternative is two-sided because we want to test if all of the smells are not gender-neutral.

b) Let µ be the mean gender-orientation score for lavender. We test H0:µ=1.28 versus Ha:µ≠10.28; The alternative is two-sided because we want to test if lavender is not gender-neutral.

c) Let µ be the mean gender-orientation score for lavender. We test H0: µ=12 versus Ha: µ≠12; The alternative is two-sided because we want to test if lavender is not gender-neutral.

d) Let µ be the mean gender-orientation score for lavender. We test H0: µ < 12 versus Ha: ≥ 12 ; The alternative is not two-sided because we want to test if lavender is gender-neutral.

Answer:

c) Let µ be the mean gender-orientation score for lavender. We test H0: µ=12 versus Ha: µ≠12; The alternative is two-sided because we want to test if lavender is not gender-neutral.

Step-by-step explanation:

Here, some smells are perceived to be more feminine while some are more masculine. The researcher picked a sample size of 300 american adults to score quantitatively the perceived gender-orientation of lavender.

We are told that when the score is smaller it indicates a mord feminine scent, when the score is larger it indicates a more masculine scent while a score of 12 indicates a gender neutral scent.

In this case the participants gave lavender a score of 10.28

From the above information we have the following :

Mean, µ = 12

Sample size = 300

Sample mean x' = 10.28

Since the sample mean is less than 12, the null and alternative hypotheses will be:

H0 : µ = 12

Ha : µ ≠ 12

This is a two tailed test because the alternative hypothesis is not gender based, which means lavender could be perceived to be either more feminine or more masculine.

The correct option is option C.

c) Let µ be the mean gender-orientation score for lavender. We test H0: µ=12 versus Ha: µ≠12; The alternative is two-sided because we want to test if lavender is not gender-neutral.

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

a=10 students because there are 10 answers.

b=5

Step-by-step explanation:

a=10 students because there are 10 answers.

b, you need to list the numbers all out and rearrange them from smallest to largest.

0, 0, 1, 2, 3, 7, 9, 10, 13, 15

The median means the middle which is 3 and 7

Because we have two numbers, we need to find the middle number of 3 and 7 which is 5

Answer:

$383,500.68  

Step-by-step explanation:

The amount needed is the present value of the $30,000 that Anna will withdraw for 25 years compounded at 6% annually

=pv(rate,nper,pmt,fv)

rate is the annual rate of 6%

nper is the number of years of withdrawal which is 95-70=25

pmt is the amount of annual withdrawal which is $30,000

fv is the amount of withdrawals which is unknown

=pv(6%,25,-30000,0)=$383,500.68  

The amount of she required at 70 is $$383,500.68   which gives her the benefit of withdrawing $30,000 per year at retirement

Answer:

1/12

Step-by-step explanation:

Probability of 4 = 1/6

Probability tail = 1/2

Multiply them

Answer:

1/12

Step-by-step explanation:

Probability of 4 = 1/6

Probability tail = 1/2

1/6 x 1/2 = 1/12

Answer:

f ( x ) = $1000 - $25*x

( 40 days, $0 )

( 0 days , $1000 )

Step-by-step explanation:

Solution:-

- Every quarter Hannah receives $1000 in her account for meal plan.

- So for a quarter of a year she has $1000 to spend.

- She spends $25 on food each day; hence, an amount of $25 is deducted each day.

- We can mathematically express the amount remaining in her account after ( x ) days as follows:

                    y = f(x) = Initial deposit - (per day deduction)*x

Where,

               y: The amount remaining in Hannah's account after x days.

- The initial amount is the quarterly deposit of $1000 and per day deduction is her buying food each day for $25.

                   y= f(x) = $1000 - ($25)*x

- The thing to note is that the above function f(x) is only defined over the domain of a quarter of year i.e from the first day she receives her amount till the next deposit.

- The number of days it will take for Hannah to empty her account can be determined from finding the x-intercept or ( y = f(x) = 0 ) using the function defined above:

                    f ( x ) = 1000 - 25x = 0

                    x = 1000 / 25

                    x = 40 days

- So it will take 40 days for Hannah to empty her account. As an ordered pair it can be written as:

                    ( 40 days , $0 )  ... Answer

- The initial deposit of $1000 corroborates the y-intercept of the function defined f ( x ). Or we can evaluate the derived function at f ( 0 ):

                     f ( 0 ) = 1000 - 25*0

                     f ( 0 ) = $1000

- The ordered pair for the y-intercpet would be:

                     ( 0 days , $1000 )   ... Answer  

Answer:

There are going to be 7 sections in the path

Step-by-step explanation:

First Step:

Simplify 2/16 in 1/8

Second Step:

Since the path is 7/8 of a mile long, and the sections are 1/8 of a mile long. There will be 7 sections because 1/8 will go into 7/8 7 times.

For this equation you simply have to graph it.

First, you have to remember that these equations follow a formula: y=mx+b. m is the slope of you line and b is the y-intercept.

Next, you need to graph it. First, graph your b, in this case 2. You would go up 2 on you graph (graph (0,2)). Then, you would graph your slope which is 3.

Now, remember that slope equals y/x, so think of the number 3 being like 3/1. You would start at (0,2) and go up 3 points in the graph, then over 1 point (graph where you end up). You repeat that from each new point you make until you have enough points to create a straight line.

Hope this helps a bit,

Answer:

(a)31.42 inches

(b)942.48 Square Inches

Step-by-step explanation:

Given a sector of a circle with the following dimensions:

Radius of the circle =60 inches

Central Angle of the sector =30°

(a)Arc Length

Arc Length [tex]=\dfrac{\theta}{360^\circ}X2\pi r[/tex]

[tex]=\dfrac{30}{360^\circ}X2*60*\pi\\\\=10\pi\\\\=31.42$ Inches (correct to the nearest hundredth)[/tex]

(b)Area of the sector

Area of the sector [tex]=\dfrac{\theta}{360^\circ}X\pi r^2[/tex]

[tex]=\dfrac{30}{360^\circ}X\pi*60^2\\\\=300\pi\\\\=942.48$ Square Inches (correct to the nearest hundredth)[/tex]

Answer:

(a)31.42 inches

(b)942.48 Square Inches

Step-by-step explanation:

Answer:

r=0.96

Step-by-step explanation:

The Pearson product-moment correlation coefficient (PMCC) is a numerical value between -1 and 1 that shows the strength of the linear relationship between two variables.

Given the result of 10 hospital patients which were sampled below:

[tex]\left|\begin{array}{c|ccccccccccccc}$Patient&A&B&C&D&E&F&G&H&I&J\\$Age (X) in Years&20&25&50&30&45&60&10&15&35&70\\$B.P.(Y) in mmHg&80&85&125&90&100&135&80&70&100&140\end{array}\right|[/tex]

To determine the product moment correlation coefficient for the data, we follow the steps below:

Step 1: Find the following as it was done in the table below.

[tex]\sum{X}~,~ \sum{Y} ~,~ \sum{X \cdot Y} ~,~ \sum{X^2}~,~and \sum{Y^2}[/tex]

Step 2: Take the sum of every column to obtain:

[tex]\sum{X}=360 ~,~ \sum{Y}=1005 ~,~ \sum{X \cdot Y}=40425 ~,\\~ \sum{X^2}=16500 ~,~ \sum{Y^2}=106475[/tex]

Step 3: Use the following formula to find the PMCC.

[tex]r=\dfrac{n\cdot\sum{XY} - \sum{X}\cdot\sum{Y}}{\sqrt{\left[n \sum{X^2}-\left(\sum{X}\right)^2\right] \cdot \left[n \sum{Y^2}-\left(\sum{Y}\right)^2\right]}}[/tex]

[tex]=\dfrac{10\cdot 40425 - 360\cdot1005}{\sqrt{\left[10*16500}-\left(360\right)^2\right] \cdot \left[10*106475-\left(1005\right)^2\right]}}[/tex]

[tex]=\dfrac{42450}{\sqrt{1937265000}}\\=0.9645\\r\approx 0.96$ (correct to 2 decimal places)[/tex]

Interpretation

Since r=0.96 which is closer to 1, we conclude that there is a strong relationship between the age and the high blood pressure related deaths in the state.

Answer:

3p + q =7

2p - 2q = -6

6p +2q = 14

2p -2q = -6

8p = 8

p = 1

so q = 4

Step-by-step explanation:

Answer:

P= 1, q= 4

Step-by-step explanation:

3p + q = 7 -------------(1)

q=7-3p ------------------(1a)

2p- 2q= -6 -------------(2)

Substitute (1a) in (2)

We have :

2p - 2( 7- 3p) = -6

2p -14 + 6p = -6

8p= 14-6= 8

P= 8/8 =1

From, q=7 -3(1)

q= 7-3

q= 4

Answer:

  37

Step-by-step explanation:

Before her uncle's gift, Marie had 14 fewer than 51 shark teeth:

  51 -14 = 37

Marie had 37 shark teeth.

Answer:

hbbhhhhhggggg

Step-by-step explanation:

vgggggffffff

Answer:

[tex]12.56m[/tex]

Step-by-step explanation:

[tex] \frac{180}{360} \times 2\pi \: r \\ \frac{1}{2} \times 2 \times \pi \times 4 \\ = 12.56m[/tex]

Answer:

this answer is attached to the picture

Answer: 12.5

Step-by-step explanation:

Answer:

12.5

Step-by-step explanation:

i just did it