Suppose that an individual has a body fat percentage of 19.1% and weighs 142 pounds. How many pounds of his weight is made up of fat? Round your answer
to the nearest tenth.

Given that an integer is a whole number, 12 floors written as an integer is 12.

An integer is a number that is not a fraction but a whole number. Integers can be both positive and negative. Examples of an integer include -1, 0, 4, 5...etc.

From the question we are told that "An elevator goes up 12 floors", we are to write the number of floors as an integer.

Since an integer is a whole number, hence 12 floors written as an integer is 12.

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The solution to the system of equations is x = -3 and y = -4.

To solve the system of equations:

Equation 1: 2x - y = -10

Equation 2: 3x + 2y = -1

We can use the method of substitution or elimination to find the values of x and y.

Let's use the method of elimination:

Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:

2(2x - y) = 2(-10)

4x - 2y = -20

Now, we can eliminate y by adding Equation 2 and the modified Equation 1:

(3x + 2y) + (4x - 2y) = -1 + (-20)

7x = -21

x = -3

Substitute the value of x into Equation 1 to solve for y:

2(-3) - y = -10

-6 - y = -10

y = -10 + 6

y = -4

Therefore, the solution to the system of equations is x = -3 and y = -4.

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Answer:

The total amount of fluids infused per day is 3,120 ml.

Step-by-step explanation:

Given that a patient is receiving a normal saline solution, infusing continuously at 80 ml / hr, and a tube feeding formula, Glucerna, infusing continuously at 50 ml / hr, to determine what is the total amount of fluids infused per day the following calculation must be done:

(80 x 24) + (50 x 24) = X

1,920 + 1,200 = X

3.120 = X

Therefore, the total amount of fluids infused per day is 3,120 ml.

Answer:

so 15 hour for the 100 to become 200 and then it will become 400 in another 15 hours. but we need to find the time for 300 so it will take half of 15 hours

+ 15 hours for it to become 300 cells which is: 7 1/2 + 15 = 22 hours and 30 minutes

Step-by-step explanation:

answer from gauth math

Answer:

22 hours and 30 minutes

Step-by-step explanation:

Answer:

Over 300 students did not support start time after 8:00am

Step-by-step explanation:

Given

\(N = 600\) --- population

\(n = 40\) --- sample

See attachment for dataset

Required [True/False]

Over 300  wants start time after 8:00am

First, we calculate the number of samples that wants start time after 8:00am

\(x = 8:30am\ start + 9:00am\ start\)

For sample 1

\(x_1 = 18\)

The corresponding value of x1 in the overall population is:

\(X_1 = \frac{x_1}{n} * N\)

\(X_1 = \frac{18}{40} * 600\)

\(X_1 = \frac{18 * 600}{40}\)

\(X_1 = \frac{10800}{40}\)

\(X_1 = 270\)

For sample 2

\(x_2 = 19\)

The corresponding value of x2 in the overall population is:

\(X_2 = \frac{x_2}{n} * N\)

\(X_2 = \frac{19}{40} * 600\)

\(X_2 = \frac{19* 600}{40}\)

\(X_2 = \frac{11400}{40}\)

\(X_2 = 285\)

None of X1 and X2 is greater than 300.

Hence, over 300 students did not support start time after 8:00am

None of X1 and X2 is greater than 300. so, over 300 students did not support start time after 8:00 am.

The population is 600 and the sample is 40.

The population of inference refers to the population (or universe) to which the results from a sample survey are meant to generalize.

Over 300 students did not support start time after 8:00 am

For sample 1

\(\rm x_{1} =18\\\)

The corresponding value of x1 in the overall population is:

\(\rm X_{1} =\frac{x_{1} }{n} \times N\\\rm X_{1} =\frac{18}{40} \times 600\\\rm X_{1} =\frac{10800}{40}\\ \rm X_{1} =270\\\)

For sample 2

\(\rm x_{2} =19\)

The corresponding value of x2 in the overall population is:

\(\rm X_{2} =\frac{x_{2} }{n} \times N\\\rm X_{2} =\frac{19}{40} \times 600\\\rm X_{2} =\frac{11400}{40}\\ \rm X_{2} =285\\\)

None of X1 and X2 is greater than 300.

Hence, over 300 students did not support start time after 8:00 am.

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Answer:

x=1

Step-by-step explanation:

y=3x so just add 1+3=4 then add veriable y=4x

Answer:

arc AB = 3.14 in

Step-by-step explanation:

circumference of full circle = π2r = (3.14)(2)(6) = 37.68 in

arc AB = (30°/360°)(37.68) = 3.14 in

The linear equation that could be used to find her monthly pay rate will be y = 12x + 50.

It is referred to as the relationship between two variables, and a straight line is produced when the linear equation's graph is shown. The equation is referred to as a linear equation in one variable if just one variable is contained in the linear equation.

It is given that, Esther is employed by a marketing firm. She makes $12 per hour and receives a $50 monthly travel reimbursement.

Suppose x be the number of months,

The linear equation could be used to find her monthly pay rate is,

Total amount = Amount per hour×number of hour+ travel allowance

y = 12x + 50

Thus, the obtained linear equation for a given condition will be y = 12x + 50.

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The solution set of this inequality is {x| x > -6.1}

Here we have the inequality:

2x + 8 > -4.2

To find the solution set, we need to isolate the variable x in one of the sides of the inequality. Doing that we will get:

2x + 8 > -4.2

2x > -4.2 - 8

2x > -12.2

x > -12.2/2

x > -6.1

So the set of all numbers larger than -6.1, this in number form is:

{x| x > -6.1}

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Answer:

W=P-2L / 2

Step-by-step explanation:

P=2(L+W)

P=2L+2W

-2L -2L

P-2L=2W

W=P-2L / 2

Answer:

A.) yes because the scale does not start at 0

Step-by-step explanation:

edge

Answer:

A

Step-by-step explanation:

Answer:

8 ml

Step-by-step explanation:

Answer:

C. middle school grades

Step-by-step explanation:

Colleges want to see if students challenged themselves by taking rigorous courses, and they also want to know what kind of grades students were able to maintain. They also like to take into account the scores you get on standardized tests because these tests can give a relatively accurate idea of a student's mastery of certain subjects. The only thing they don't pay attention to are the grades you earned in middle school. Since these grades aren't very recent, they don't serve as an accurate measure of a student's academic ability, which is why colleges prefer to look at the grades a student earns during their time in high school.

Hope this helps :)

Answer:

  2

Step-by-step explanation:

You want to know the average rate of change on the interval -8 ≤ x ≤ -7 of the cubic function shown in the graph.

The average rate of change of a function f(x) on interval [a, b] is given by ...

  rate of change = (f(b) -f(a))/(b -a)

Here, we have ...

Using these values in the formula for rate of change, we get ...

  rate of change = (2 -0)/(-7 -(-8)) = 2/1 = 2

The average rate of change of f(x) on [-8, -7] is 2.

The surface area of the square Pyramid with a side length of 2 yards and a slant height of 2 yards is 12 square yards.

The surface area of a square pyramid, we need to calculate the area of each face and then sum them up.

A square pyramid has four triangular faces and one square base. The area of the base is equal to the side length squared, while the area of each triangular face can be found using the formula: (1/2) * base * height.

Given that the side length of the square pyramid is 2 yards and the slant height is also 2 yards, we can calculate the surface area as follows:

Area of the base = (side length)^2 = 2^2 = 4 square yards

Area of each triangular face = (1/2) * base * height = (1/2) * 2 * 2 = 2 square yards

Now, let's calculate the total surface area of the square pyramid:

Total surface area = Area of the base + 4 * Area of each triangular face

Total surface area = 4 + 4 * 2 = 4 + 8 = 12 square yards

Therefore, the surface area of the square pyramid with a side length of 2 yards and a slant height of 2 yards is 12 square yards.

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Answer:

x=14?

Step-by-step explanation:

2(x+4)=2x+8, so 3x-6=2x+8. Subtraxt 2x from each side to get x-6=8. Then add 6 to both sides to get x=14

Answer:

One solution

Step-by-step explanation:

3x-6 = 2(x+4)

3x-6=2x+8

3x-2x-6=8

x-6=8

x=14

Answer:

\(5800\)

Step-by-step explanation:

Hope it is helpful...

Answer:

5800

Step-by-step explanation:

5763

7 is in the hundreds place

We look at the tens place to determine how to round

If the tens place is 5 or above we round up, if it is 4 or less- leave it alone

Since 6 is 5 or above, we round the 7 up

5763 rounds to 5800

Answer:

1. y = 0.437798+0.829539X

2. there is a significant effect

3. 7.523

4. 41.914

5. no

6. 0.8777

Step-by-step explanation:

1.

from the regression output we have

intercept = 0.437798

slope = 0.829539

the regression line would therefore be =

y = 0.437798 + 0.829539X

2.

h0 = regression is not significant

h1: regression is significant

alpha = 0.05

p value = 0.0001

we compare p-value with alpha

0.0001<0.05

we therefore reject H0 and conclude that hours spent studying have significant effect on total points.

3.

To get standard error of estimate:

mean sum of squared error = MSE

MSE = 56.5974

= √56.5974

= 7.523

4.

points of a student who spent 50 hours studying. we calculate this from the regression line

y = 0.437798 + 0.829539X

x = 50

y = 0.437798 + 0.829539(50)

y = 41.914

5.

no I would not be comfortable using estimate regression equation to predict his point of a student spent 120 hours studying. this value is out of range of the predictor values (independent variables)

6. to get r² (r squared)

r² = SSR/SST

SSR = 3249.72

SST = 3702.5

r² = 3249.72/3702.5

= 0.8777

7.

we are supposed to solve question 7 from question 8. but no question 8 was given. hence no solution

Answer:

each card's thickness ×no of cards=total thickness

3/160×X=3/4

X=3/4×160/3

X=40

40 cards r in the stack

Answer:

the answer is D. 8

Step-by-step explanation:

2x+14=3x+6

14=x+6

8=x

D

Answer:

19

Step-by-step explanation:

they give you xz, and they want half, so just divide 38 by 2

Answer:

72

Step-by-step explanation:

Assuming that the right column is obtained by multiplying the value in the left column by 6, 12 times 6 is 72.

Answer:

72

Step-by-step explanation:

We can see that the numbers in the left column is being multiplied by 6 to obtain the numbers in the right column respectively

Therefore, C = 12 x 6

The inequality to use to find the number of pounds for Earthen red clay and Porcelain white clay is:

0.75r + 1.1w ≥ 100

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

A ceramic artist orders two types of clay.

Earthen red clay

Porcelain white clay

Amount to spend = $100 or more

Earthen red clay costs = $0.75 per pound

Porcelain white clay costs = $1.10 per pound.

The inequality to use to find the number of pounds for Earthen red clay and Porcelain white clay.

= 0.75r + 1.1w ≥ 100

where r is the number of pounds of earthen red clay, and w is the number of pounds of porcelain white clay.

Thus,

The number of pounds for Earthen red clay and Porcelain white clay can be found using the inequality:

0.75r + 1.1w ≥ 100

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Answer:

3, 5 and 15

Step-by-step explanation:

According to the triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. This means that you cannot draw a triangle with side lengths 3, 5 and 15, since 3 + 5 is less than 15.

The value of x for each item is given as follows:

28. x = 5.

29. x = 3.44.

For item 28, we apply the crossing chord theorem, which states that the products of the parts of the chords are equal, hence the value of x is obtained as follows:

16x = 10 x 8

16x = 80

x = 5.

For item 29, we apply the two secant theorem, hence the value of x is obtained as follows:

10(x + 10) = 12(12 + 25)

10x + 100 = 444

10x = 344

x = 3.44.

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Answer:

should be 2.24. I am sorry if I am wrong

Step-by-step explanation:

31.36÷14=2.24

Given statement solution is :- It takes approximately 1.122 seconds for the ball to reach its maximum height.

To find the time it takes for the ball to reach its maximum height, we need to determine the vertex of the parabolic function given by the equation h(t) = \(-4.9t^2 + 11t + 7.\)

The vertex of a parabola in the form y = \(ax^2 + bx\) + c is given by the formula t = -b / (2a).

Comparing the equation h(t) = \(-4.9t^2 + 11t + 7\) to the standard form, we have:

a = -4.9

b = 11

Using the formula for the vertex, we can calculate the time it takes to reach the maximum height:

t = -11 / (2 * -4.9)

t = -11 / -9.8

t ≈ 1.122

Therefore, it takes approximately 1.122 seconds for the ball to reach its maximum height.

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(1) 6 students read all three courses.

(II) 37 students read only one course.

(III) 77 students read exactly two courses.

(IV) 73 students read Accountancy irrespective of Sociology or French.

Let A represent the number of students reading Accountancy, S represent the number of students reading Sociology, and F represent the number of students reading French.

Let X be the number of students reading all three.

From the information given:

A ∩ S = 19

A + S - 27 = 120 - 53 + 19 = 86 (number of students reading Accountancy or Sociology but not French)

S - A - X = 27

S + F - X = 53

F - X = 19

A - X = 86 - 19 = 67

Total = A + S + F - (A ∩ S) - (A ∩ F) - (S ∩ F) + X = 120

Solving, we get X = 6, A = 73, S = 52, F = 25.

(1) 6 students read all three courses.

(II) 37 students read only one course.

(III) 77 students read exactly two courses.

(IV) 73 students read Accountancy irrespective of Sociology or French.

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