Find the equation of the line that is parallel to the line y = -2x +3 and passes through the point (5,4).y = − 1/2x + 6.5y = 2x - 14y = -2x + 14y = 1/2x + 1.5

Answers

Answer 1

lets remember how to find the equation of a parallel line

two lines are parallel if they don"t intersect, that means they slopes are the same

y=-2x+3

slope as we see is m=-2

the other line has to pass through point (5,4)

y-y1=m(x-x1)

y-4=-2(x-5)

we solve the equation

y= 4-2x+10

y= -2x+14

i will send you a picture

green line is y=-2x+14

Find The Equation Of The Line That Is Parallel To The Line Y = -2x +3 And Passes Through The Point (5,4).y

Related Questions

2) through: (-2,5), perp. to 1 = 7 1 1 LU perp m 1 2 b Sub y, m, and

Answers

Answer:

y = (-7/2)x - 2

Step-by-step explanation:

Equation of a line:

The equation of a line is given by:

y = mx + b

In which m is the slope and b is the intercept.

We want the equation of a line perpendicular to y = (2/7)x - 4.

This slope is 2/7.

When two lines are perpendicular, the multiplication of their slopes is -1.

We want to find m. So

(2/7)*m = -1

2m = -7

m = (-7/2)

So

y = (-7/2)x + b

Through the point (-2,5):

This means that when x = -2, y = 5. So

y = (-7/2)x + b

5 = (-7/2)*(-2) + b

7 + b = 5

b = 5 - 7

b = -2

So, the equation is:

y = (-7/2)x - 2

P. The Shah family basement floor is shaped like a trapezoid. The basement has sides of and 24 feet and two sides of 21 feet. They are going to carpet the basement. The carpeting will cost $35 per square yard. A. What is the area, in square feet, of the basement foor? Show your work. B. What is the cost to carpet the basement floor? Explain how you found your answer

Answers

A.

In order to calculate the area of the trapezoid, we need to calculate its height:

Using the Pythagorean Theorem, we have:

[tex]\begin{gathered} 21^2=h^2+6^2 \\ 441=h^2+36 \\ h^2=441-36 \\ h^2=405 \\ h=20.12 \end{gathered}[/tex]

Now, calculating the area:

[tex]\begin{gathered} A=\frac{(B+b)h}{2} \\ A=\frac{(36+24)20.12}{2} \\ A=60\cdot10.06 \\ A=603.6 \end{gathered}[/tex]

B.

If each square yard is $35, first let's convert the area from ft² to yd² (1 yard = 3 feet, 1 yd² = 9 ft²):

[tex]A=603.6\text{ ft}^2=\frac{603.6}{9}\text{ yd}^2=67.07[/tex]

So the total cost is:

[tex]\text{cost}=67.07\cdot35=2347.45[/tex]

So the cost is approximately $2347.45.

What is the surfacearea of the cone?2A 225π in²B 375m in²C 600T in²D 1000 in 225 in.15 in.

Answers

We are given a cone whose radius is 15 inches and slant height is 25 inches. We need to solve for its surface area.

To find the surface area of a cone, we use the following formula:

[tex]SA=\pi rl+\pi r^2[/tex]

where r = radius and l = slant height.

Let's substitute the given.

[tex]\begin{gathered} SA=\pi(15)(25)+\pi(15^2) \\ SA=375\pi+225\pi \\ SA=600\pi \end{gathered}[/tex]

The answer is 600 square inches.

One-third of a number b multiplied by -11 is more than 3 2

Answers

[tex]\frac{b}{3}\times(-11)>\frac{2}{3}[/tex]

35+3(8-4)
(please explain how you did it)

Answers

Answer:47

Step-by-step explanation: First multiply 3x8=24 then subtract 3x4=12 from it. Which will get you 12 then add 35 to 12 which will get you 47.

35 + 3(8-4) = ?

Do the parentheses first : 8 - 4 = 4

= 35 + 3(4)

Then multiply- that's the one that is in parentheses : 3 x 4 = 12

= 35 + 12

Then just straight up add : 35 + 12 = 47

35 + 3(8-4) = 47

So ? = 47

The diameter of a circle has endpoints P(-12, -4) and Q(6, 12).

Answers

ANSWER

[tex](x+3)^{2}+(y-4)^{2}=145[/tex]

EXPLANATION

The equation of a circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

where (h, k) = center of the circle

r = radius of the circle

The center of a circle is the midpoint of the endpoints of the diameter of the circle. Hence, to find the center of the circle, we have to find the midpoint of the diameter:

[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

where (x1, y1) and (x2, y2) are the endpoints of the diameter.

Hence, the center of the circle is:

[tex]\begin{gathered} M=(\frac{-12+6}{2},\frac{-4+12}{2}) \\ M=(\frac{-6}{2},\frac{8}{2}) \\ M=(-3,4) \end{gathered}[/tex]

To find the radius of the circle, we have to find the distance between any endpoint of the circle and the center of the circle.

To do this apply the formula for distance between two points:

[tex]r=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Therefore, the radius of the circle is:

[tex]\begin{gathered} r=\sqrt{(6-(-3))^2+(12-4)^2}=\sqrt{9^2+8^2} \\ r=\sqrt{81+64}=\sqrt{145} \end{gathered}[/tex]

Hence, the equation of the circle is:

[tex]\begin{gathered} (x+3)^2+(y-4)^2=(\sqrt{145})^2 \\ (x+3)^2+(y-4)^2=145 \end{gathered}[/tex]

Preston drove to his new college and then back home.Round trip he traveled 642 miles. Preston drives aHonda Civic and gets 38 miles for every gallon of gas. IfPreston needs to make 15 round trips a year how muchwill it cost him in gas assuming the price of gas stays at$2.48 a gallon for all his trips?$Round all answers to the nearest hundredthsDo not put a label, just the numeric value

Answers

1) Gathering the data

Preston

642 miles

38 miles/gallon

15 round trips

1 gallon = $2.48

2) Considering that each round trip consists of 642 miles

So Preston in 15 roundtrips is going to make

15 x 642 miles =9,630 miles

His car gets 38 miles per gallon. So we can write a proportion for that:

38 miles ---------1 gallon

9,630 miles ----- x

Cross multiplying it:

38x = 9,630 Divide by 38

x =9630/38

x=253.42 gallons

Finally, let's set another proportion to find out the cost of it

1 gallon -------------- $2.48

253.42 -------------- y

y= 253.42 x 2.48

y=628.4816

3) Rounding off to the nearest hundredth

$628. 48 That's how much Preston will spend.

A Snack company can pack 15 granola bars in a box how many boxes are needed for 600 granola bars ?

Answers

Answer:40

Step-by-step explanation: 15 bars to a box.

600 bars in total.

600/15= 40

40 boxes of granola bars

Picture translating A ABC three units to the left and five units up.What are the coordinates of A'?A(2,-2)

Answers

The coordinates of point A are (2, -2)

If the picture is translated 3 units to the left, we need to subtract 3 units to the x coordinate as:

( 2 - 3, -2) = (-1, -2)

Then, if the picture is translated 5 units up, we need to sum 5 units to the y-coordinate as:

( -1 , -2 + 5) = (-1, 3)

So, the coordinates of A' are (-1, 3)

Answer: (-1, 3)

A restaurant serving 150 side dishes of skinless mashed potatoes each day produces two orders of mashed potatoes from each 8 ounce potato. when the skins are discarded, the potatoes have a yield percentage of 90%. However, to reduce waste and promote sales, the potato skins are instead used as an appetizer. what is the edible portion of the potato skins in ounces?​

Answers

The edible portion of the potato skins in ounces is = 0.8%

What are potatoes?

Potatoes are vegetable tubers that can be eaten with the skin when properly cooked.

The number of side dishes of skinless mashed potatoes= 150

Two orders of mashed potatoes = 8 ounce potato.

The potatoes with discarded skin = 90% yield

The potatoe skin= 10% of the 8 ounces

That is;

= 10/100×8

= 80/100 = 0.8 ounce

Therefore, the portion of the potatoes that consists of the skin in ounce is = 0.8 ounce

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You invent a game that is played on a perfect 12 foot by 12 foot square. What is the longest distance between any two points on the square? A. 12 feetB. 15 feetC. 17 feetD. None of the aboveI will really appreciate the help on this problem.

Answers

The given figure is a square that measures 12 foot by 12 foot. please see illustration below;

The square in the sketch above shows the longest distance between two opposite diagonals, and that is the hypotenuse, labelled as a.

In the triangle ADC, using Pythagoras' theorem;

[tex]\begin{gathered} AD^2+DC^2=AC^2 \\ 12^2+12^2=a^2 \\ 144+144=a^2 \\ 288=a^2 \\ \sqrt[]{288}=a \\ a=16.97 \end{gathered}[/tex]

The longest distance which is a (that is AC) is approximately 17 ft as shown above (16.97 ft).

Ride 'em Rodeo is a traveling rodeo show. Last night, there were 5 people wearing
boots at the rodeo for every 2 people who were not wearing boots.
If there were 125 people wearing boots at the rodeo last night, how many people were
there altogether?

Answers

The total number of people that were there altogether at the radio show is 175 people.

How to calculate the value?

From the information, there were 5 people wearing boots at the rodeo for every 2 people who were not wearing boots.

It was also illustrated that there were 125 people wearing boots at the rodeo last night, those that aren't wearing boots will be illustrated by x.

2/5 = x/125

Collect like terms

5x = 125 × 2

5x = 250

Divide

x = 250/5

x = 50

Those not wearing boots = 50

Total number of people will be:

= Those wearing boots + Those not wearing

= 125 + 50

= 175

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Answer:

175

Step-by-step explanation:

can you help me to find midpoint

Answers

First, locate the given points.

Then, draw the line that connects them

Next, add the two x-coordinates of the endpoints and divide by 2. In this case, (1 + 4)/2 = 5/2 = 2.5

Then, draw a line perpendicular to the x-axis that passes through x = 2.5, until it intersects the other line. The intersecting point is the midpoint.

In this case, the coordinates of the midpoint are (2.5, 0.5), as can be seen in the figure

Yesterday Ali had n Baseball cards. Today he gave away 6. Using n, Write an expression for the number of cards Ali has left

Answers

Yesterday Ali had n Baseball cards.

Today he gave away 6 cards.

We are asked to write an expression for the number of cards Ali has left.

Ali had a total of n cards and he gave away 6 from them.

So, we have to simply subtract 6 cards from the total n cards.

[tex]n-6[/tex]

Therefore, the expression is n - 6 represents the number of cards Ali has left.

What function makes the HIV virus unique?

Answers

The function which makes the HIV virus unique is: B. It has viral DNA that is transmitted through indirect contact with infected persons.

HIV is an acronym or abbreviation for human immunodeficiency virus and it refers to a type of venereal disease that destabilizes and destroys the immune system of an infected person, thereby, making it impossible for antigens to effectively fight pathogens.

Generally, the high mutation or replication rate of the human immunodeficiency virus (HIV) owing to its enormous genetic diversity (deoxyribonucleic acid - DNA) makes it easily transmittable from an infected person to another.

This ultimately implies that, the HIV virus is unique among other viruses because it can be transmitted without having a direct contact with an infected person such as:

Sharing a hair clipper with him or her.

Using an object that has been infected by a HIV patient.

Additionally, it is extremely difficult to develop an effective and accurate vaccine against the HIV virus because it possesses a high error rate.

Using pH=-log{H3O+}, what is pH for 3.4 X 10^-4 ?

Answers

The value of the pH for pH=-log{H3O+} is found as 3.47.

What is defined as the pH?The pH of aqueous or some other liquid solutions is a quantitative measure of their acidity or basicity. The concentration of hydrogen ion, which normally ranges between around 1 and 10∧14 gram-equivalents per litre, is converted into a number between 0 and 14. The concentration of hydrogen ion in pure water, which really is neutral (nor acidic and neither alkaline), is 10∧7 gram-equivalents per litre, corresponding to a pH of 7. A solution with such a pH less than 7 is classified as acidic, while one with pH greater than 7 is classified as basic, or alkaline.

For the given equation,

pH = - log [H3O+]

and , H3O+ = 3.4 X 10^-4

The, the pH will be estimated as;

pH = - log [ H3O+]

pH = - log [ 3.4 x10 ^-4]

pH = - [log 3.4 + log 10^-4]

pH = - [0.53 + (-4)]

pH  = -[-3.47]

pH = 3.47

Thus, the value of the pH is found as 3.47.

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The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is less than 2". Let B be the event "the outcome is greater than 4". Find P(A or B). Outcome Probability 1 0.15 2 0.31 3 0.35 4 0.08 5 0.11

Answers

The general rule of P(A or B) is given by the formula

[tex]undefined[/tex]

call Scott's is collecting canned food for food drive is class collects 3 and 2/3 pounds on the first day in 4 and 1/4 lb on second day how many pounds of food has they collected so far

Answers

The food collected on first day,

[tex]\begin{gathered} 3\frac{2}{3} \\ =\frac{3\times3+2}{3} \\ =\frac{9+2}{3} \\ =\frac{11}{3} \end{gathered}[/tex]

The food collected on second day,

[tex]\begin{gathered} 4\frac{1}{4} \\ =\frac{4\times4+1}{4} \\ =\frac{16+1}{4} \\ =\frac{17}{4} \end{gathered}[/tex]

The total amount of food collected can be calculated as,

[tex]\begin{gathered} T=\frac{11}{3}+\frac{17}{4} \\ =\frac{11\times4+17\times3}{3\times4} \\ =\frac{44+51}{12} \\ =\frac{95}{12} \\ =7\frac{11}{12} \end{gathered}[/tex]

Therefore, the total amount of food collected so far is 7 11/12 pounds.

5. Find the arclength that subtends a central angle of 175° in a circle with radius 3 feet.

Answers

As given by the question

There are given that the central angle is 175 degrees and the radius is 3 feet.

Now,

The length of an arc given it subtends a known angle at the centre is:

[tex]\text{arc length=2}\times\pi\times r\times\frac{175}{360}[/tex]

Then,

[tex]\begin{gathered} \text{arc length=2}\times\pi\times r\times\frac{175}{360} \\ \text{arc length=2}\times3.14\times3\times\frac{175}{360} \\ \text{arc length=}9.16 \end{gathered}[/tex]

Hence, the arclength is 9.16.

A herd of 23 white-tailed deer is introduced to a coastal island where there had been no deer before. Their population is predicted to increase according to A=276/1+11e^(- .35t)where A is the number of deer expected in the herd after t years.(a) How many deer will be present after 3 years? Round your answer to the nearest whole number.(b) How many years will it take for the herd to grow to 50 deer? Round your answer to the nearest whole number.

Answers

Given:

[tex]A=\frac{276}{1+11e^{-0.35t}}[/tex]

Where A is the number of deer expected in the herd after t years.

We will find the following:

(a) How many deer will be present after 3 years?

So, substitute t = 3 into the given equation:

[tex]A=\frac{276}{1+11e^{-.35*3}}\approx56.9152[/tex]

Rounding to the nearest whole number

So, the answer will be A = 57

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

(b) How many years will it take for the herd to grow to 50 deer?

substitute A = 50 then solve for t

[tex]\begin{gathered} 50=\frac{276}{1+11e^{-.35t}} \\ 1+11e^{-.35t}=\frac{276}{50} \\ \\ 11e^{-.35t}=\frac{276}{50}-1=4.52 \\ e^{-.35t}=\frac{4.52}{11} \\ -0.35t=ln(\frac{4.52}{11}) \\ \\ t=\frac{ln(\frac{4.52}{11}_)}{-0.35}=2.54 \end{gathered}[/tex]

Round your answer to the nearest whole number.

So, the answer will be t = 3

Based on the experimental probability, predict the number of times that you will roll a 5 if you roll the number cube 300 timesExperiment result on previews question: The number 5 was rolled 9 times out of 20 on a previous question

Answers

Explanation: To understand this problem we need to know that there are two different types of probability. The experimental probability and the theoretical probability.

- The experimental probability occurs once you conduct the experiment and after the experiment, you calculate the probability using the result of the experiment.

- The theoretical probability occurs before the experiment. Once you have information about the situation so you calculate the probability the get a specific result before trying.

Step 1: For this question, once we have a number cube with faces 1,2,3,4,5 and 6 and we want to know the experimental probability to get a 5 once you roll the cube 300 times you would need to get in real life a number cube and to roll it 300 times. After this experiment we would get all the results of each time we roll it and we would know how many times (from 300 times) we got a number 5. After that, we would use the following formula

[tex]Experimental_{probability}=\frac{number\text{ of times we got a number 5}}{300}[/tex]

Once the get this result we finish the question.

f(x) = log 2(x+3) and g(x) = log 2(3x + 1).(a) Solve f(x) = 4. What point is on the graph of f?(b) Solve g(x) = 4. What point is on the graph of g?(c) Solve f(x) = g(x). Do the graphs off and g intersect? If so, where?(d) Solve (f+g)(x) = 7.(e) Solve (f-g)(x) = 3.

Answers

Given

[tex]\begin{gathered} f(x)=log_2(x+3) \\ and \\ g(x)=log_2(3x+1) \end{gathered}[/tex]

a)

[tex]\begin{gathered} f(x)=4 \\ \Rightarrow log_2(x+3)=4 \\ \Leftrightarrow x+3=2^4 \\ \Rightarrow x+3=16 \\ \Rightarrow x=13 \end{gathered}[/tex]

The answer to part a) is x=13. The point on the graph is (13,4)

b)

[tex]\begin{gathered} g(x)=4 \\ \Rightarrow log_2(3x+1)=4 \\ \Leftrightarrow3x+1=2^4 \\ \Rightarrow3x+1=16 \\ \Rightarrow3x=15 \\ \Rightarrow x=5 \end{gathered}[/tex]

The answer to part b) is x=5, and the point on the graph is (5,4).

c)

[tex]\begin{gathered} f(x)=g(x) \\ \Rightarrow log_2(x+3)=log_2(3x+1) \\ \Rightarrow\frac{ln(x+3)}{ln(2)}=\frac{ln(3x+1)}{ln(2)}] \\ \Rightarrow ln(x+3)=ln(3x+1) \\ \Rightarrow x+3=3x+1 \\ \Rightarrow2x=2 \\ \Rightarrow x=1 \\ and \\ log_2(1+3)=log_2(4)=2 \end{gathered}[/tex]

The answer to part c) is x=1 and graphs intersect at (1,2).

d)

[tex]\begin{gathered} (f+g)(x)=7 \\ \Rightarrow log_2(x+3)+log_2(3x+1)=7 \\ \Rightarrow log_2((x+3)(3x+1))=7 \\ \Leftrightarrow(x+3)(3x+1)=2^7 \\ \Rightarrow3x^2+10x+3=128 \\ \Rightarrow3x^2+10x-125=0 \end{gathered}[/tex]

Solving the quadratic equation using the quadratic formula,

[tex]\begin{gathered} \Rightarrow x=\frac{-10\pm\sqrt{10^2-4*3*-125}}{3*2} \\ \Rightarrow x=-\frac{25}{3},5 \end{gathered}[/tex]

However, notice that if x=-25/3,

[tex]log_2(x+3)=log_2(-\frac{25}{3}+3)=log_2(-\frac{16}{3})\rightarrow\text{ not a real number}[/tex]

Therefore, x=-25/3 is not a valid answer.

The answer to part d) is x=5.

e)

[tex]\begin{gathered} log_2(x+3)-log_2(3x+1)=3 \\ log_2(\frac{x+3}{3x+1})=3 \\ \Leftrightarrow\frac{x+3}{3x+1}=2^3=8 \\ \Rightarrow x+3=24x+8 \\ \Rightarrow23x=-5 \\ \Rightarrow x=-\frac{5}{23} \end{gathered}[/tex]

The answer to part e) is x=-5/23

The population of Canada, as estimated every five years since 1960, is shown in the table. 1. . Calculate the finite differences for the data set.

Answers

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given data set

STEP 2: Find the finite difference

We first find the differences in the output values which is the population as seen below

[tex]\begin{gathered} 19.68-17.91=1.77 \\ 21.32-19.68=1.64 \\ 23.21-21.32=1.89 \\ 24.59-23.21=1.38 \\ 25.94-24.59=1.35 \\ 27.79-25.94=1.85 \\ 29.35-27.79=1.56 \\ 30.77-29.35=1.42 \\ 32.31-30.77=1.54 \\ 34.01-32.31=1.70 \\ 35.75-34.01=1.74 \end{gathered}[/tex]

STEP 3: Find the second order difference

[tex]\begin{gathered} 1.64-1.77=-0.13 \\ 1.89-1.64=0.25 \\ 1.38-1.89=-0.51 \\ 1.35-1.38=-0.03 \\ 1.85-1.38=0.47 \\ 1.56-1.85=-0.29 \\ 1.42-1.56=-0.14 \\ 1.54-1.42=0.12 \\ 1.70-1.54=0.16 \\ 1.74-1.70=0.04 \end{gathered}[/tex]

STEP 4: Find the third order difference

[tex]undefined[/tex]

Interpreting the whale population on the graph. I think (A).

Answers

The y-intercept is the value in the vertical axis (y-value) when the value on the horizontal axis is zero (x = 0).

Looking at the horizontal axis, the value of x indicates the generation since 2007.

That means x = 0 indicates the generation in year 2007.

The value of y for x = 0 is 240, so the population in year 2007 is 240.

Correct option: A

Today's high temperature is 72°F. If yesterday's high temperature was 87"F, what was the change in high temperatures?

Answers

To find the change in temperature we have to do a subtraction:

Highest temperature-lowest temperature-

87-72= 15F

The change in high temperatures was 15 F .

Which points are on the graph of y = cot x? (Select all that apply)A. (/3 , √3/2)B. (/2 , 0)C. (0 , )D. (/4 , 1)E. ( , 0)

Answers

Solution:

The graph function is given below as

[tex]y=cotx[/tex]

The graph is given below as

Therefore,

The points on the graph are

[tex]\begin{gathered} \Rightarrow(\frac{\pi}{4},1) \\ \Rightarrow(\frac{\pi}{2},0) \end{gathered}[/tex]

OPTION B AND option D are the right answers

The proof below shows that sin theta -sin^3 theta=sin2theta cos^2 theta/2cos theta

Answers

Given:

Given the steps of the proof of the equation

[tex]\sin\theta-\sin^3\theta=\frac{2\sin2\theta\cos^2\theta}{2\cos\theta}[/tex]

Required: Expression missing on the thrd step

Explanation:

The second step is

[tex]\sin\theta-\sin^3\theta=\sin\theta(1-\sin^2\theta)\frac{2\cos\theta}{2\cos\theta}[/tex]

from which leads to

[tex]\sin\theta-\sin^3\theta=\frac{(2\sin\theta\cos\theta)(1-\sin^2\theta)}{2\cos\theta}[/tex]

The expression missing on the third step is

[tex]\frac{(2\sin\theta\cos\theta)(1-\sin^2\theta)}{2\cos\theta}[/tex]

Option D is correct.

Final Answer:

[tex]\frac{(2\sin\theta\cos\theta)(1-\sin^2\theta)}{2\cos\theta}[/tex]

Suppose that an airline uses a seat width of 16.2 in. Assume men have hip breadths that are normally distributed with a mean of 14 in. and a standard deviation of 1 in. Complete parts (a) through (c) below.

Answers

Given:

population mean (μ) = 14 inches

population standard deviation (σ) = 1 inch

sample size (n) = 126

Find: the probability that a sample mean > 16.2 inches

Solution:

To determine the probability, first, let's convert x = 16.2 to a z-value using the formula below.

[tex]x=\frac{\bar{x}-\mu}{\sigma\div\sqrt{n}}[/tex]

Let's plug into the formula above the given information.

[tex]z=\frac{16.2-14}{1\div\sqrt{126}}[/tex]

Then, solve.

[tex]z=\frac{2.2}{0.089087}[/tex][tex]z=24.6949[/tex]

The equivalent z-value of x = 16.2 is z = 24.6949

Since we are looking for the probability of greater than 16.2 inches, let's find the area under the normal curve to the right of z = 24.6949.

Based on the standard normal distribution table, the area from the center to z = 24.6949 is 0.5

Since we want the area to the right, let's subtract 0.5 from 0.5.

[tex]0.5-0.5=0[/tex]

Therefore, the probability that a sample mean of 126 men is greater than 16.2 inches is 0.

If he paints 1/2 of the wall blue, hoy many square feet will be blue?

Answers

To determine how much of the wall is blue we first need to find its area. The wall is a rectangle, then its area is the product of its height and length:

[tex]\begin{gathered} A=(8\frac{2}{5})(16\frac{2}{3}) \\ A=(\frac{42}{5})(\frac{50}{3}) \\ A=(14)(10) \\ A=140 \end{gathered}[/tex]

Hence, the area of the wall is 140 square ft. To determine how much of the wall is already painted we multiply this by 1/2, then:

[tex](140)(\frac{1}{2})=70[/tex]

Therefore, 70 square ft are blue.

what is the density of a 10g box measuring 10 cm by 5 cm by 5 cm

Answers

Answer:1 g/cm^3

Step-by-step explanation:

Other Questions
Which equation demonstrates the identity property?? (question 2\10 in 6th g math) ( be fast pls need this right now)A. (3x4)+(3x5)=3(4+5)B. 3x5=5x3C. 3(4x5)=(3x4)x5D. 4x1=4(15 points) Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 149 millimeters, and a standard deviation of 8 millimeters. If a random sample of 50 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by more than 3.3 millimeters? Round your answer to four decimal places. The table shows a proportional relationship.x 12 8 24y 3 2 6Describe what the graph of the proportional relationship would look like.A: A line passes through the point (0, 0) and continues through the point (3, 12).B: A line passes through the point (0, 0) and continues through the point (2, 8).C: A line passes through the point (0, 0) and continues through the point (6, 24).D: A line passes through the point (0, 0) and continues through the point (12, 3). 3. If you ordered a pizza to share with others, which of the following sets ofnumbers would best describe the part of the pizza you ate.a. Integerb. WholeC. Naturald. Rational O GRAPHS AND FUNCTIONSDomain and range from the graph of a piecewise function f(x)= x-6/2g(x)=x-4Express the function gf in the form gf(x) = ...Give your answer as simply as possible. Surface are of the wood cube precision =0.00The weight of the woo cube precision =0.00 The volume was 42.87 in3 Do you think that America is headed for a revolution? Is it inevitable? a simple pendulum has a period t on the earth. if it were used on planet x, where the acceleration due to gravity is 3 times what it is on earth, its period would be the sum of two numbers is 24 . one number is 3 times the other number . find the two numbers how do people organize the world? For the parabola given by 4y 9 = x2 6x, find the vertex and focus. 2) Use a graph to find the length of DE if D(4, -3) and E(-5, -7) in pythagoras theorem. I need help with this answer its a bit tricky question 8 a large hotel chain sees about 500 customers per week. a data analyst working there is gathering data through customer satisfaction surveys. they are anxious to begin analysis, so they start analyzing the data as soon as they receive 50 survey responses. this is an example of what? select all that apply. write the slope-interference form of the equation of each line Express 1.27times 10^3 in decimal notation in part 2 of the experiment, you will be analyzing a sample of household bleach. a 0.0854 g sample of household bleach is completely reacted with ki(s). the resulting solution is then titrated with 0.150 m nas2o3 solution. 0.890 ml of the solution is required to reach the colorless endpoint. what is the mass percent of naocl (mm aldol condensation is an easy way of making: group of answer choices carbon-carbon bond carbon-oxygen bond carbon-nitrogen bond carbon-hydrogen bond all of these bond types f(x) = x ^ 3 + 3x ^ 2 + 4x + 5 and g(x) = 5 , then g(f(x)) =