The volume of a gas, such as helium or air, varies inversely with the pressure on it. If the volume of air is 325 cubic inches under a pressure of 11 psi, what pressure has to be applied to decrease the volume to 143 cubic inches?

Answers

Answer 1

ANSWER

The pressure is 25 psi

STEP-BY-STEP EXPLANATION:

From the question provided, you can see that the relationship between the volume of a gas and the pressure is an inverse relationship.

The volume of a gas varies inversely with the pressure on it

This implies that as the volume of the gas increases the pressure of the gas decreases and vice versa.

The next thing is to assign variables

Let the volume of the gas be V

Let the pressure of the gas be P

Mathematically, this can be represented as

[tex]\begin{gathered} V\text{ }\propto\text{ }\frac{1}{P} \\ \text{Introduce a proportionality constant K} \\ V\text{ = }\frac{K}{P} \\ \text{Cross multiply} \\ K\text{ = VP -------- equation 1} \\ \end{gathered}[/tex]

The next step is to find the value of K from the given information in the question

• Volume = 325 cubic inches

,

• Pressure = 11 psi

Recall that, K = VP

K = 325 * 11

K = 3,575

Since you have gotten the value of K, then, you can now find your pressure when the volume Is 143 cubic inches

[tex]\begin{gathered} V=143inches^3 \\ K\text{ = 3,575} \\ K\text{ = VP} \\ \text{Divide both sides by V} \\ \frac{K}{V}\text{ = }\frac{VP}{V} \\ P\text{ = }\frac{K}{V} \\ P\text{ = }\frac{3575}{143} \\ P\text{ = 25 ps}i. \end{gathered}[/tex]

Hence, the pressure is 25 psi


Related Questions

F (x)=x^2+4 what is f(-4)

Answers

ANSWER

f(-4) = 20

EXPLANATION

To find f(-4) we just have to replace x by -4 in function f(x):

[tex]f(-4)=(-4)^2+4[/tex]

First solve the exponents. Remember that if the exponent is even and the result is always positive, either the base is positive or negative:

[tex]f(-4)=16+4=20[/tex]

NEED ANSWER ASAP Solve this system of equations:3x - 2y = - 8y= 3/2x - 2I NEED ALL THE STEPS

Answers

Let's solve it by replacing in the first equation.

3x-2y=-8

y=3/2x-2

So,

3x-2(3/2x -2)=-8

3x-3x+4=-8

SOLVE PLEASE -2x^2+18x+____

Answers

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

- 2x² + 18x + _________

Step 02:

(a + b) = a² + 2ab + b²

a² = -2x²

[tex]a\text{ = }\sqrt[]{-2\cdot x^{2}}\text{ = x }\sqrt[]{-2}[/tex]

[tex]a\text{ = }\sqrt[]{2}i[/tex]

2ab = 18x

[tex]2(x\sqrt[\text{ }]{-2)}\cdot\text{ b = 18 x}[/tex][tex]b\text{ = }\frac{18x}{2x\sqrt[]{-2}}=\frac{9}{\sqrt[]{-2}}=\frac{9}{\sqrt[]{2\text{ }}i}[/tex]

Two ways to express the solution:

[tex]\begin{gathered} -2x^{2\text{ }}+\text{ 18x + 9/}\sqrt[]{-2} \\ -2x^2+18x\text{ + 9 / }\sqrt[]{2}i \end{gathered}[/tex]

15. Graph the rational function ya*-*Both branches of the rational function pass through which quadrant?Quadrant 2Quadrant 3Quadrant 1Quadrant 4

Answers

SOLUTION:

CONCLUSION:

Both branches of the rational function pass through Quadrant 1.

What is the approximate diameter of the largest Circle she can make

Answers

We have that the circumference of a circle can be represented with the following equation:

[tex]C=\pi d[/tex]

where d represents the diameter of the circle.

In this case, we have a circle of circumference C = 30 ft made with the lights, then, using the equation and solving for d, assuming that pi equals 3.14, we get:

[tex]\begin{gathered} 30=(3.14)d \\ \Rightarrow d=\frac{30}{3.14}=9.55\approx10ft \end{gathered}[/tex]

therefore, the approximate diameter of the largest circle is 10 ft

Simplify. Final answer should be in standard form NUMBER 18

Answers

4(2 - 3w)(w^2 - 2w + 10) =

(8 - 12w)(w^2 - 2w + 10) =

8w^2 - 16w + 80 - 12w^3 + 24w^2 - 120w =

- 12w^3 + 32w^2 - 123w + 80

What are all the ordered pairs that are solutions to the inequality 2x-3y>=12

Answers

To answer this question, we need to solve this inequality for y as follows:

[tex]2x-3y\ge12[/tex]

Then, we have:

[tex]-3y\ge12-2x\Rightarrow\frac{-3y}{-3}\leq\frac{12}{-3}-\frac{2x}{-3}\Rightarrow y\leq-4+\frac{2x}{3}[/tex]

As we can see the direction of the inequality changed because we multiplied it by a negative number.

Then, if we can see the inequality, we find that the values that make this inequality true

are infinite values (the values of y are in function of the values of x).

Then, since we have the values given in the options, we need to check which of these values make the inequality true or we can graph a line for this inequality.

We have that the line is given by:

y = 2x/3 - 4

The x-intercept for this line is:

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what is the GCF of 20 and 32

Answers

Given the following numbers

[tex]20,32[/tex]

To find the greatest common factor, G.C.F.

The factor that can divide through two or more numbers evenly is the G.C.F

The factors of 20 and 32 are as follows

[tex]\begin{gathered} 20\Rightarrow1\times2\times2\times5 \\ 32\Rightarrow1\times2\times2\times2\times2\times2 \end{gathered}[/tex]

The common factors between 20 and 32 is

[tex]\begin{gathered} \text{Common factors }=2,2 \\ G\mathrm{}C\mathrm{}F=2\times2=4 \\ G\mathrm{}C\mathrm{}F=4 \end{gathered}[/tex]

Hence, the GCF of 20 and 32 is 4

Alternatively

Finding the G.C.F using table to find the G.C.F of 20 and 32

Therefore, the G.C.F is

[tex]G.C.F\Rightarrow2\times2=4[/tex]

Hence, the G.C.F of 20 and 32 is 4

Last weekend, 5% of the tickets sold at Seaworldwere discount tickets. If Seaworld sold 60 tickets inall, howmany discount tickets did it sell? Use thepercent proportion.

Answers

Let:

N = Total tickets

d = discount tickets

r = percent of discount tickets sold

so:

[tex]\begin{gathered} d=N\cdot r \\ where\colon \\ N=60 \\ r=0.05 \\ so\colon \\ d=60\cdot0.05 \\ d=3 \end{gathered}[/tex]

3 discount tickets were sold

For each ordered pair, determine whether it is a solution to the sytem of equations.

Answers

Given

We have the system of equations:

[tex]\begin{gathered} 3x\text{ - 2y = -4} \\ 2x\text{ + 5y = -9} \end{gathered}[/tex]

The ordered pair that would be a solution to the given system of equations must satisfy both equations. There can only be one ordered pair and this can be obtained by solving the system of equations simultaneously

Using a graphing tool, the plot of the lines is shown below:

The point where the lines intercept is the solution to the system of equations.

Hence the ordered pair that is a solution is (-2, -1)

Answer:

(4,8) - No

(8, -5) - No

(0, 3) - No

(-2, -1) - Yes

Which of the following rational expressions has the domain restrictions X = -6 and x = 1?

Answers

The domain of the function is possible values of independant varaible such that function is defined or have real values.

So the expression

[tex]\frac{(x+2)(x-3)}{(x-1)(x+6)}[/tex]

is not defined for x = -6 and for x = 1, as expression becomes undefined for this values of x (Denominator becomes 0).

So answer is,

[tex]\frac{(x+2)(x-3)}{(x-1)(x+6)}[/tex]

Option B is correct.

(a) Find an angle between 0 and 2pi that is coterminal with 10pi/3.(b) Find an angle between 0° and 360° that is coterminal with -300°.Give exact values for your answers.(a) __ radians(b) __ °

Answers

To find a coterminal angle between 0 and 2pi, you can subtract 2pi from the given angle, like this

[tex]\frac{10\pi}{3}-2\pi\text{ }[/tex]

To do the subtraction, you can convert 2pi into a fraction, like this

[tex]\frac{2\pi\cdot3}{3}=\frac{6\pi}{3}[/tex]

So, you have

[tex]\frac{10\pi}{3}-2\pi=\frac{10\pi}{3}-\frac{6\pi}{3}=\frac{4\pi}{3}[/tex]

Therefore, 4pi/3 is the angle between 0 and 2pi that y is coterminal with 10pi/3.

For point (b), you can add 360° at the angle given, like this

[tex]360+(-300)=360-300=60[/tex]

Therefore, an angle between 0° and 360° that is coterminal with -300° is 60°.

8Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to determine the value of c so that the following is true.p=(-c ≤ Z ≤ c ) =0.9127Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places.

Answers

The value of c such that [tex]P(-c\leq Z\leq c)=0.9127[/tex] is true is 0.0873 where Z follows the standard normal distribution.

It is given to us that -

[tex]P(-c\leq Z\leq c)=0.9127[/tex] is true

It is also given that Z follows the standard normal distribution.

We have to find out the value of c.

Since Z follows the standard normal distribution, so we can say that

Z ∼ N(0,1)

To find out c,

[tex]P(-c\leq Z\leq c)=0.9127\\= > P(Z\leq c)-P(Z\leq -c)=0.9127\\[/tex]

Since there is a symmetric z-distribution, the above equation can be represented as -

[tex][1-P(Z\leq -c)]-P(Z\leq -c) = 0.9127\\= > 1-P(Z\leq -c) - P(Z\leq -c) = 0.9127\\= > 1-2P(Z\leq -c)=0.9127\\= > 2P(Z\leq -c)=0.0873\\= > P(Z\leq -c)=0.04365[/tex]

=> -c ≈ 0.0873 (Using online calculator)

Therefore, the value of c such that [tex]P(-c\leq Z\leq c)=0.9127[/tex] is true is 0.0873 where Z follows the standard normal distribution.

To learn more about standard normal distribution visit https://brainly.com/question/14916937

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Answer:

The value of c such that  is true is 0.0873 where Z follows the standard normal distribution.

Step-by-step explanation:

solve the system by substitution type your stepsx=2y-53x-y=5

Answers

Answer:

The solution to the system of equations is

x = 3

y = 4

Explanation:

Given the pair of equations:

[tex]\begin{gathered} x=2y-5\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\text{.}(1) \\ 3x-y=5\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\text{.}(2) \end{gathered}[/tex]

To solve these simultaneously, use the expression for x in equation (1) in equation (2)

[tex]\begin{gathered} 3(2y-5)-y=5 \\ 6y-15-y=5 \\ 6y-y-15=5 \\ 5y-15=5 \\ \\ \text{Add 15 to both sides} \\ 5y-15+15=5+15 \\ 5y=20 \\ \\ \text{Divide both sides by 5} \\ \frac{5y}{5}=\frac{20}{5} \\ \\ y=4 \end{gathered}[/tex]

Using y = 4 in equation (1)

[tex]\begin{gathered} x=2(4)-5 \\ =8-5 \\ =3 \end{gathered}[/tex]

Therefore, x = 3, and y = 4

The number of visits to public libraries increased from 1.2 billion in 1990 to 1.6 billion in 1994. Find the average rate of change in the number of public library visits from 1990 to 1994.

Answers

Okay, here we have this:

Considering the provided information, we are going to calculate the requested rate of change, so we obtain the following:

We will replace in the rate of change formula with the following points: (1990, 1.2) and (1994, 1.6), then we have:

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

Rate of change=(1.6-1.2)/(1994-1990)

Rate of change=0.4/4

Rate of change=0.1 Billion

Finally we obtain that the average rate of change in the number of public library visits from 1990 to 1994 is 0.1 billion.

If cos(0) = 24/25, and 0 is in Quadrant I, then what is cos(0/2)? Simplify your answer completely, rationalize the denominator, and enter it in fractional form.

Answers

The given information is:

[tex]\begin{gathered} \cos (\theta)=\frac{24}{25} \\ \theta\text{ is in quadrant I} \end{gathered}[/tex]

cos (theta/2) is given by:

[tex]\cos (\frac{\theta}{2})=\pm\sqrt[]{\frac{1+\cos\theta}{2}}[/tex]

In Quadrant I, cos (theta) is positive, then the answer is positive. By replacing the known values:

[tex]\begin{gathered} \cos (\frac{\theta}{2})=\sqrt[]{\frac{1+\frac{24}{25}}{2}} \\ \cos (\frac{\theta}{2})=\sqrt[]{\frac{\frac{25+24}{25}}{2}} \\ \cos (\frac{\theta}{2})=\sqrt[]{\frac{\frac{49}{25}}{2}} \\ \cos (\frac{\theta}{2})=\sqrt[]{\frac{49}{25\times2}} \\ \cos (\frac{\theta}{2})=\sqrt[]{\frac{49}{50}} \\ \cos (\frac{\theta}{2})=\frac{\sqrt[]{49}}{\sqrt[]{50}} \\ \cos (\frac{\theta}{2})=\frac{7}{\sqrt[]{50}} \\ \cos (\frac{\theta}{2})=\frac{7}{\sqrt[]{50}}\cdot\frac{\sqrt[]{50}}{\sqrt[]{50}} \\ \cos (\frac{\theta}{2})=\frac{7\sqrt[]{50}}{50} \\ \cos (\frac{\theta}{2})=\frac{7\sqrt[]{25\times2}}{50} \\ \cos (\frac{\theta}{2})=\frac{7\cdot\sqrt[]{25}\cdot\sqrt[]{2}}{50} \\ \cos (\frac{\theta}{2})=\frac{7\cdot5\cdot\sqrt[]{2}}{50} \\ \text{Simplify 5/50} \\ \cos (\frac{\theta}{2})=\frac{7\sqrt[]{2}}{10} \end{gathered}[/tex]

Mr. Fowler's science class grew two different varieties of plants as part of anexperiment. When the plant samples were fully grown, the studentscompared their heights.PlantvarietyHeight of plant(inches)20, 17, 19, 18, 21Mean Mean absolute deviation(Inches)Variety A191.2Variety B13, 18, 11,9,14132.4Based on these data, which statement is true?O A. The maximum height for plants from variety B is greater than forvariety A.B. Plants from variety A always grow taller than plants from variety B.C. The height of a plant from variety B is likely to be closer to themean.D. The height of a plant from variety A is likely to be closer to themean.

Answers

Let's analyze all the statements and see why they are false or true.

A. FALSE

The tallest plant in variety B is just 18 tall, while the variety A we have 21.

B. FALSE

We do have plants in A that have the same height as B.

C. FALSE

The standard deviation measure how far it's from the mean, the variety B has a 2.4 standard deviation, which means that the height can be more distant from the mean than in variety A.

D. True

Justified by C. Variety A has a 1.2 standard deviation, which means it's more likely to be closer to the mean

How does g(t) = 1/2t change over the interval t = 0 to t = 1?

Answers

we have the equation

[tex]g(t)=\frac{1}{3^t}[/tex]

Find out the rate of change over the interval [0,1]

Remember that

the formula to calculate the rate of change is equal to

[tex]\frac{g(b)-g(a)}{b-a}[/tex]

In this problem

a=0

b=1

g(a)=g(0)=1

g(b)=g(1)=1/3

therefore

the function decreases by a factor of 3

is it option one or two I don't need to work

Answers

From the options, the function has the next form

[tex]y=a\cdot b^x[/tex]

where a and b are two constants.

The function pass through the point (0, 2), then:

[tex]\begin{gathered} 2=a\cdot b^0 \\ 2=a\cdot1 \\ 2=a \end{gathered}[/tex]

The function pass through the point (1, 10), then:

[tex]\begin{gathered} 10=2\cdot b^1 \\ \frac{10}{2}=b \\ 5=b \end{gathered}[/tex]

Therefore, the function is:

[tex]y=2\cdot5^x^{}[/tex]

2-18 72 20=34-To=315)-10=35 5)EXTENSION: a) In right A DEF, m D = 90 and mZF is 12 degrees less than twice mze. Find mZE. b) in AABC, the measure of ZB is 21 less than four times the measure of LA, and the measure of ZC is 1 more than five times the measure of ZA. Find the measure, in degrees, of each angle of ABC.

Answers

As given by the question

There are given that in the right triangle DEF, angle D is 90 degrees and angle f is 12 degrees less than angle E.

Now,

The sum of the three measures of a triangle is always 180 degree

So,

[tex]m\angle D+m\angle E+m\angle F=180[/tex]

Where angle D is 90 degree

Then,

[tex]\begin{gathered} m\angle D+m\angle E+m\angle F=180 \\ 90+m\angle E+m\angle F=180 \\ m\angle E+m\angle F=90 \end{gathered}[/tex]

Also we are given that

[tex]\begin{gathered} F+12=2E \\ F=2E-12 \end{gathered}[/tex]

Therefore, substituting for F back into E+F=90

Then,

[tex]\begin{gathered} E+(2E-12)=90 \\ 3E-12=90 \\ 3E=102 \\ E=34 \end{gathered}[/tex]

So, angle E is 34 degrees, which is the answer.

(06.04)The line of best fit for a scatter plot is shown:A scatter plot and line of best fit are shown. Data points are located at 1 and 4, 2 and 6, 2 and 3, 4 and 3, 6 and 1, 4 and 5, 7 and 2, 0 and 6. A line of best fit passes through the y-axis at 6 and through the point 4 and 3.What is the equation of this line of best fit in slope-intercept form? (4 points)y = −6x + three fourthsy = 6x + three fourthsy = negative three fourthsx + 6y = three fourthsx + 6

Answers

Answer:

[tex]y\text{ = -}\frac{3}{4}x\text{ + 6}[/tex]

Explanation:

Given the y-intercept and a point, we want to get the equation of the line of best fit

We have the slope-intercept form as:

[tex]y\text{ = mx + b}[/tex]

where m is the slope and b is the y-intercept:

[tex]y\text{ = mx + 6}[/tex]

Now, to get m, we substitute the point (4,3)

We substitute 3 for y and 4 for x

We have that as:

[tex]\begin{gathered} 3\text{ = 4m + 6} \\ 3-6\text{ = 4m} \\ 4m\text{ = -3} \\ m\text{ = -}\frac{3}{4} \end{gathered}[/tex]

Thus, the equation of the line of best fit is:

[tex]y\text{ = -}\frac{3}{4}x\text{ + 6}[/tex]

a square pyramid has a base height edge length of 3m and a slant height of 6m. find the lateral area and surface area of the pyramid

Answers

hello

given that the pyramid has the shape of a triangle, we can easily find the height of the pyramid using pythagoran's theorem

from triangle b, let's use the formula and solve for y

[tex]\begin{gathered} x^2=h^2+z^2 \\ 6^2=h^2+1.5^2 \\ 36=h^2+2.25 \\ \text{collect like terms} \\ h^2=36-2.25 \\ h^2=33.75 \\ \text{solve for h} \\ h=\sqrt[]{33.75} \\ h=5.809\approx5.81m \end{gathered}[/tex]

having known the value of the heigh of the pyramid, we can now proceed to solve for the lateral area and surface area

for the lateral area, the formula is given as

[tex]\begin{gathered} A_l=l\sqrt[]{l^2+4h} \\ l=\text{edge length} \\ h=\text{height of pyramid} \end{gathered}[/tex][tex]\begin{gathered} A_l=l\sqrt[]{l^2+4h} \\ l=3m \\ h=5.81m \\ A_l=3\sqrt[]{3^2+4\times5.81_{}} \\ A_l=17.03m^2 \end{gathered}[/tex]

the lateral area of the figure is 17.03 squared meter.

let's solve for the surface area

the formula for the surface area of a square pyramid is given as

[tex]\begin{gathered} A=l^2+2l\sqrt[]{\frac{l^2}{4}+4h^2} \\ l=3m \\ h=5.81 \\ A=3^2+2\times3\sqrt[]{\frac{3^2}{4}+4\times5.81^2} \\ A=9+6\sqrt[]{\frac{9}{4}+135.0244} \\ A=79.298\approx79.3m \end{gathered}[/tex]

Which is the greatest number?A. 50 – 16piB. 16 - sqrt(410)C. -sqrt(20) + 1/2D. 7/3 - (7pi/3)فر

Answers

First, we need to develop each case or take care of the following:

One number is greater than another if it is more at the right of the Real Line.

A negative number is lower than a positive number.

Between two negative numbers, the greater is the one near to zero.

Let develop the numbers:

A. 50 - 16pi is approximately -0.265472

B. 16 - sqrt(410) approximately equals to -4.24845

C. -sqrt(20) + 1/2 is approximately equals to -3.97213

D. 7/3 - (7*pi)/3 is approximately equaled to -4.99705

So taking into account the previous reasons at the beginning, we have that the number near to zero is -0.265472, which is the first option. Option A.

9. Find the volume of the triangular pyramid. (2pts)-10 mI9 m16 m

Answers

Answer:

240 m³

Explanation:

The volume of a pyramid is equal to:

[tex]V=\frac{1}{3}\times B\times H[/tex]

Where B is the area of the base and H is the height of the pyramid.

Then, the base of the pyramid is a triangle, so the area of a triangle is equal to:

[tex]B=\frac{b\times h}{2}[/tex]

Where b is the base of the triangle and h is the height of the triangle. So, replacing b by 16 m and h by 9 m, we get:

[tex]B=\frac{16\times9}{2}=\frac{144}{2}=72m^2[/tex]

Finally, replacing B by 72 m² and H by 10 m, we get that the volume of the pyramid is equal to:

[tex]V=\frac{1}{3}\times72\times10=\frac{1}{3}\times720=240m^3[/tex]

Therefore, the volume is 240 m³

There are 8 triangles and 20 circles. What is the simplest ratio of triangles to circles?

Answers

Answer:

2:5

Step-by-step explanation:

8:20

= 4:10 (simplifying)

= 2:5

Answer:

2:5

Step-by-step explanation:

8=2*2*2,    20=2*2*5

cancel out the numbers they have in common

8=2*2*2,  20=2*2*5

=2,5

as a ratio

2:5

Convert the radical to exponential form. Assume variables represent positive real numbers.

Answers

Exponential Form of Radicals

A radical can be expressed in exponential form by using the equivalence:

[tex]\sqrt[m]{x^n}=x^{\frac{n}{m}}[/tex]

We are given the expression:

[tex]\sqrt[4]{16a^4b^3}[/tex]

It can be separated into several radicals:

[tex]\sqrt[4]{16a^4b^3}=\sqrt[4]{16}\cdot\sqrt[4]{a^4}\cdot\sqrt[4]{b^3}[/tex]

Now we apply the equivalence on each individual radical:

[tex]\begin{gathered} \sqrt[4]{16a^4b^3}=\sqrt[4]{2^4}\cdot\sqrt[4]{a^4}\cdot\sqrt[4]{b^3} \\ \sqrt[4]{16a^4b^3}=2^{\frac{4}{4}}\cdot a^{\frac{4}{4}}\cdot b^{\frac{3}{4}} \end{gathered}[/tex]

Simplifying:

[tex]\sqrt[4]{16a^4b^3}=2ab^{\frac{3}{4}}[/tex]

Graph AABC with A(4, 7), B(0,0), and C(8, 1).a. Which sides of AABC are congruent? How do you know?b. Construct the bisector of ZB. Mark the intersection of the ray and AC as D.c. What do you notice about AD and CD?

Answers

a) Two sides of a triangle are concruent when they are the same length. First calculate the lenght of each side

[tex]\begin{gathered} AC^2=\text{ (X\_c-X\_a)}^2+(Y_a-Y_c)^2=(8-4)^2+(7-1)^2=\text{ 52} \\ AC=\sqrt{52}=7.2 \end{gathered}[/tex][tex]\begin{gathered} AB^2=(X_a-X_b)^2+(Y_a-Y_b)^2=(4-0)^2+(7-0)^2=\text{ 65} \\ AB=\sqrt{65}=8.06\approx8 \end{gathered}[/tex][tex]\begin{gathered} BC^2=(X_c-X_b)^2+(Y_c-Y_b)^2=(8-0)^2+(1-0)^2=\text{ 65 } \\ BC=\sqrt{65}=8.06\approx8 \end{gathered}[/tex]

Sides AB and BC aren congruent.

b)

The bisector divides the triangle in exact halves.

The bisector is the blue line, in green you'll se the length of each side.

c)

Erica is given the diagram below and asked to prove that AB DF. What would be the missing step of the proof? Given: Point B is the midpoint of EF, and point A is the midpoint of ED. Prove: AB DF

Answers

Given

To find the missi

a bag contains 30 marbles. 8 are pink, 11 are blue, 4 are yellow and 7 are purple. Calculate the probability of randomly selecting a marble that is not blue .

Answers

In order to find the probability of a marble not being blue, we need to find how many marbles are not blue.

To do so, we just need to sum the number of pink, yellow and purple marbles:

[tex]8+4+7=19[/tex]

Now, to find the probability, we just need to divide the number of non-blue marbles by the total number of marbles.

[tex]\frac{19}{30}=0.6333=63.33\text{\%}[/tex]

Given the following data, find the diameter that represents the 69th percentile.AnswerHow to enter your answer (opens in new window)Diameters of Golf Balls1.531.36 1.69 1.68 1.701.601.601.361.34 1.531.32 1.401.39 1.391.44

Answers

Given that there is a Table given of diameters

Other Questions
Solve two and one-third times four-fifths equals blank. four-sixths one and twelve-fifteenths one and thirteen-fifteenths four and four-sixths Keri eats seven hamburgers and five servings of French fries for lunch every singleday. She finishes her entire meal during the first 20 minutes of her lunch period anduses the final 10 minutes to do jumping jacks which causes her to throw up what shejust ate. What does this scenario MOST LIKELY demonstrate?anorexia nervosadepressionbulimia nervosabinge eating need the answer asap before class ends . Question 1-6Miriam is buying popsicles for her soccer team. She wants to spend the same amount of money at two different businesses. Food Hub sells popsicles for $1.75 each with a delivery fee of$5.00 and Foodie Eats sells popsicles for $1.80 each with a delivery fee of $4.39. She wrote an equation to determine the number of popsicles, p, she can buy. Her work is shown below.1.75p+5 = 1.80p + 4.39-1.75p-1.75p5 = 0.05p + 4.39- 4.39-4.390.61 0.050.05 0.0512.2 = pIs the solution to this equation viable in this context?The solutionviable because she . A Nucleopore membrane is characterised with permporometry using cyclohexane as condensable vapour. At a relative pressure of 0.78 a high oxygen flux can be observed which does not increase further upon decreasing the relative vapour pressure. The t-layer of cyclohexane in the pore is 0.5 nm. The experiment is performed at 34C. The saturation pressure of cyclohexane at 34C is 192.5 mbar. a) Calculate the vapour pressure of cyclohexane at a relative pressure of 0.78. b) What can you say about the pore size distribution in this membrane? c) What is/are the pore radius/radii in this membrane Find the length of each side of an equilateral triangle with perimeter 36 inches.Provide your answer below:inches4 8 squares and 10 triangles. What is the simplest ratio Using the diagram below, select all angles that are congruent.DLEoThere are three answers.O ZDOC / O ZAOCZAOBZDOBEODDEOCO 154= -4(8+6r)+24r I want to know the answer Need help confirming my answer, do I just put x=1 or x=1,-3/2 is 13/4 and 21/4 equivalent an equivalent fraction? The fox population in a certain region has a continuous growth rate of 9 percent per year. 751 body temperature measurements were taken. The sample data resulted in a sample mean of 98.1 F and a sample standard deviation of 0.7 F. Use the traditional method and a 0.05 significance level to test the claim that the mean body temperature is less than 98.6 F. NEED HELP DUE BY WEDNESDAY OR TOMMOROW. Solve each of the equations and select the numbers that represent solutions to more than one of the six equations. Select all that apply. 4x-3=17 8(x + 1) = 24 5(x - 2) = 20 34 - 7x = 20 31 - x = 29 3x +6=21. A. x=1. B. x=2. C. x=3. D. x=4.E. x=5. F. X = 6. Find the mean with and without the outlier: 66, 55, 65, 44, 54, 10 Which of the following is the equation of the ellipse with a vertical major axis, center at (1, -3), a = 7, and b = 5? 8. Which of the following ordered pairs is a solution to f(x) = 1/2x -8?(4, - 4)(2, - 7)(10, 3)(-6, 11) Which equation is correct? (6 points)Group of answer choicessec x = opposite adjacentcot x = opposite adjacentcosec x = opposite adjacentsec x = hypotenuse adjacent Harold filled his swimming pool over the weekend. The pool has a capacity of 540 gallons. Harold put in 180 gallons of water on Saturday. The garden hose that Harold used supplies 9 gallons of water per minute. How long did it take for Harold to fill the pool to capacity on Sunday? Define a variable for the unknown quantity. Write and solve an equation to answer the question. Is this a function or non-function {(3,4),(4,-6),(5,-7),(3,2),(-2,5)}