Identify an equation in point-slope form for the line perpendicular to
y=-2x + 8 that passes through (-3,9).
O A. y - 9 =-2(x+3)
O B. y+3 (x-9)
O C. y-9 - (x+3)
O D. y + 9 = 2(x-3)

Answers

Answer 1

Answer:

[tex]y - 9 = \frac{1}{2}(x +3)[/tex]

Step-by-step explanation:

Given

Function; [tex]y = -2x + 8[/tex]

Required

Find an equation perpendicular to the given function if it passes through (-3,9)

First, we need to determine the slope of:  [tex]y = -2x + 8[/tex]

The slope intercept of an equation is in form;

[tex]y = mx + b[/tex]

Where m represent the slope

Comparing  [tex]y = m_1x + b[/tex] to [tex]y = -2x + 8[/tex];

We'll have that

[tex]m_1 = -2[/tex]

Going from there; we need to calculate the slope of the parallel line

The condition for parallel line is;

[tex]m_1 * m_2 = -1[/tex]

Substitute [tex]m_1 = -2[/tex]

[tex](-2) * m_2 = -1[/tex]

Divide both sides by -2

[tex]m_2 =\frac{ -1}{-2}[/tex]

[tex]m_2 =\frac{1}{2}[/tex]

The point slope form of a line is;

[tex]y - y_1 = m_2(x - x_1)[/tex]

Where [tex](x_1,y_1) = (-3,9)[/tex] and [tex]m_2 =\frac{1}{2}[/tex]

[tex]y - y_1 = m_2(x - x_1)[/tex]becomes

[tex]y - 9 = \frac{1}{2}(x - (-3))[/tex]

Open the inner bracket

[tex]y - 9 = \frac{1}{2}(x +3)[/tex]

Hence, the point slope form of the perpendicular line is:

[tex]y - 9 = \frac{1}{2}(x +3)[/tex]


Related Questions

10 Points! Help is aprreciated!! :)

Answers

Answer:

A

Step-by-step explanation:

Since the the value is greater than 1, f(x),g(x), and h(x) are exponential functions.

The table represents the multiplication of two binomials. A geometric model with 2 columns and 2 rows. The first column is labeled negative 2 x with entries A, C. The second column is labeled 3 with entries B, D. The first row is labeled 4 x with entries A, B. The second row is labeled 1 with entries C, D. Which letters from the table represent like terms? A and B B and C A and D B and D

Answers

Answer:

  B and C

Step-by-step explanation:

Like terms are terms with the same constellation of variables. The like terms in this product are (12x) and (-2x). The cells containing those are designated B and C.

Answer:

B and C

Step-by-step explanation:

help meee plz plz me now

Answers

Answer:

if they are proportional he will give away 20

Answer:

20 should expect to get lizard treats

Step-by-step explanation:

There are 4+10+6 treats = 20 treats

10 out of the 20 are lizard treats

10/20 = 1/2

There are 40 people

1/2 * 40 = 20

20 should expect to get lizard treats

What is the area of this figure?
13 mi
5 mi
8 mi
6 mi
3 mi
7 mi
square miles

Answers

Answer:

86 square miles

Step-by-step explanation:

To answer this question you have to separate the shape into smaller ones. In this case, you can separate the shape into one larger rectangle on top and one smaller rectangle on bottom.

Area of large rectangle on top:

13 miles x 5 miles = 65 square miles

Area of smaller rectangle on bottom:

3 miles x 7 miles = 21 square miles

65 + 21 = 86 square miles

Answer:

The answer is 86 square miles

Step-by-step explanation:

First of all you can seperate this shape into shapes that you already know how to solve. Then the rest is easy...You can see how I solved it in more detail  by looking at the image below. I hoped it was helpful!

Which statement could be an interpretation of the graph’s x-intercept or y-intercept?

On a coordinate plane, a line goes through points (0, 4) and (8, 0).
Tabitha took 6 hours to drive to her friend’s house.
Matthew used 12 gallons of gas in all.
Rosa will pay off her loan in the eighth month.
Eight members of Hoi's family were each charged $4 to go to a movie.

Answers

Answer:

1. Consider the x-axis to represent months to pay off the loan, and the y-axis to represent $ owed.

2. the ordered pair (8,0) would show that at 8 months there is no more money owed.

Step-by-step explanation:

WILL MARK BRAINLIEST! Which of the following is a discrete random variable? a) length of time you play in a baseball game b) length of a car c) volume of water in a tank d) number of candies in a box

Answers

Answer:

d.which is number of candle's in a box

Answer:

number of candies in a box

Step-by-step explanation:

PLS HELP : D Each new triangle shown below has one more dot per side than the previous triangle. What is the total number of dots on the 200th triangle of this sequence?

Answers

Hey there!

Let's look for some patterns here.

In the first triangle, we see that there are six dots in total.

In the second triangle, there are nine dots in total.

And, for the third one, we see that there are 12 dots in total.

So, we see that it is counting up by threes because there is one more added to each side.

This is an arithmetic sequence, which means that there is a pattern of adding or subtracting from a base over and over again. There is a specific formula for calculating a certain term in a sequence and you can find proofs of it out there on the internet, but here is the formula.

To find a certain number in a sequence (in our case, 200), you

STEP 1: Take that certain number and subtract 1

200-1=199

STEP 2: You multiply this by the common difference, which is what you add or subtract to make the series. Since we keep on adding 3, our common difference is 3.

199×3=597

STEP 3: You add the first term in the series. In our case, this is the number of dots on the first triangle, which is six.

597+6=603

Therefore, the total number of dots on the 200th triangle of this sequence is 603 dots.

Now you can find a certain term in an arithmetic sequence! Have a wonderful day! :D

Which of the following best describes the relationship between (x-3) and the
polynomial x3 + 4x2 + 2?

Answers

Answer:

c. (x-3) is not a factor.

Step-by-step explanation:

A man has 3 different suits, 4 different shirts and 5 different pairs of shoes. In how many different ways can this man wear a suit, a shirt and a pair of shoes? 35 12 60 17

Answers

Answer:

60 ways

Step-by-step explanation:

Multiply the number of suits, shirts and shoes to find the number of ways

3 * 4 * 5

60 ways

Answer:

60

Step-by-step explanation:

(4 x 3) 5

Multiply and simplify
(x +1)3 x (x+1)4

Answers

Answer:

12x^2+24x+12

Step-by-step explanation:

(3x+3) * (4x+4)

12x^2+24x+12

Answer:

( x+1)^7

Step-by-step explanation:

(x +1)^3 * (x+1)^4

Replace x+1 with m

m^3 * m^4

The bases are the same so we can add the exponents

m^ (3+4)

m^7

Replace m with x+1

( x+1)^7

is this right? someone please help i’ll give brainliest :)

Answers

Answer:

x>-1

Step-by-step explanation:

Answer:

Your answer is incorrect.

Step-by-step explanation:

The answer that you should have gotten is;

x>-1

In 2005 , 12.1 out of every 50 employees at a company were woman if there are 49,239 total company employees estimate the number of women

Answers

Answer:

11915.8 when rounded up to the nearest tenth

Step-by-step explanation:

When you dived 12.1 by 50 to get the percent of people that fit this category, you get .242 or 24.2% you can use this number to figure out the precentage of employees who are woman by multiplying this number into 49,239 people to figure out what precent of people are woman

Hope this helps :D

Answer:

11915.8 when rounded up to the nearest tenth

Step-by-step explanation:

The ratio of the measures of the angles of a triangle is 3:2:1. Given that the shortest side of the triangle is 12 meters long, what is the number of meters in the longest side of the triangle?

Answers

Answer:

36 i think

Step-by-step explanation:

Answer:

14?

Step-by-step explanation:

The volume of a soup can with height of 6 cm and diameter of 4.4 cm = ____________ cm3. Use 3.14 for pi.

Answers

Answer:

about 91.2 cm³

Step-by-step explanation:

Radius (r) = diameter / 2 = 4.4 / 2 = 2.2

Volume of cylinder = πr²h, we know π = 3.14, r = 2.2 and h = 6

V = 3.14 * 2.2² * 6 = 91.2

Answer:

91.2

Step-by-step explanation:

To find the volume you need to use the formula [tex]\pi r^2h[/tex]

When you substitute all of the numbers the answer will be 91.1856

A principal of $4900 is invested at 4.75% interest, compounded annually. How much will the investment be worth after 7 years?
Use the calculator provided and round your answer to the nearest dollar.

Answers

Answer:

The investment will be worth $8,674 after 7 years.

brainliest?

Select the decimal that is greater than 1/3 and smaller than 1/2. A 0.299 B 0.300 c. 0.415 d 0.501

Answers

Answer:

C, 0.415

Step-by-step explanation:

Convert the fractions to decimals:

1/3 = 0.3333333...

1/2 = 0.5

So the decimal must be greater than 0.3333333... and smaller than 0.5,

from the options,

only 0.415 matches with the requirements.

Answer:

c.415

Step-by-step explanation:

1/3 = 0.333333...

1=2 = 0.5

Therefore the "c option - 0.415" as it is greater than 1/3 and lesser than 1/2

Hope ths helps....

Pls mark my ans as brainliest :)

PLS PLS PLS

I want to rank up....

Dat y pls mark my ans as brainliiest :)

Practice: Assignment, Help is appreciated! I will mark brainliest for correct answers! :)​

Answers

Answer:

19:36.83 or 37        20:4.5

Step-by-step explanation:

Answer:

For #19, it would probably be around 37

For #20, it would be 4.5.

Step-by-step explanation:

For #19, the mean is 36.83333.... so a reasonable prediction would be about 37 ˚C.

For #20, the list would be in this order:

3.2, 3.9, 4.5, 4.6, 5.5, 6.5, 8.7, 9.1

So, the 3rd value is 4.5.

Solve the system of equations using substitution. Write your answer as an ordered triple in the form (x, y, z).
X+ y + z = 2
4x + 5y + z = 12
2x = -4

Answers

Answer:

  (x, y, z) = (-2, 4, 0)

Step-by-step explanation:

Solving the last equation first, we have ...

  2x = -4

  x = -2 . . . . . divide by 2

__

Putting this in the first equation, we can write an expression for z:

  -2 +y +z = 2

  z = 4 -y . . . . . . . add 2-y

__

Putting this in the second equation, we have ...

  4(-2) +5y +(4 -y) = 12

  -4 +4y = 12

  -1 + y = 3 . . . . . divide by 4

  y = 4 . . . . . . . . add 1

__

Substituting this into the equation for z, we have ...

  z = 4 - 4 = 0

The solution is (x, y, z) = (-2, 4, 0).

Answer:

X+y+z=2 equation 1

4x + 5y + z = 12 equation 2

2x = -4 equation 3

Step-by-step explanation:

step 1 :

from equation 3 : 2x = -4

x= -4/2 = -2

step 2:

sub value x = -2 in equation 1

y + z = 4 _______ equation 4

step 3:

sub value of x in equation 3

5y + z = 20 _________ equation 4

solve equation 3 and 4

y + z = 4

5y + z = 20 sign change

__(-)_________

-4y = -16

__________

y = 4

substitute x = -2 & y = 4 in equation 1

z = 0

Hence x = -2 , y = 4 & z = 0

24 ÷ [ 33- (1+2)^2] = ?

21 + 3 (2-2^2) = ?

[(14+[tex]\sqrt 4[/tex])÷2^3] - 14 = ?

20 + [18÷(4+1)] - (3^2 + 2) = ?

please simplify the expressions using the proper order of operations.

Answers

Answer:

Below in bold.

Step-by-step explanation:

24 ÷ [ 33- (1+2)^2]

= 24 / ( 33 - 3^2)

= 24 / 24 = 1.

21 + 3 (2-2^2)

= 21 + 3(2 - 4)

= 21 + 3 * -2

= 21 - 6

= 15.

[(14+√4)÷2^3] - 14

= [ (14 + 2) / 8] - 14

= 16/8 - 14

= 2 - 14

= -12.

20 + [18÷(4+1)] - (3^2 + 2)

= 20 + [18÷ 5] - (9 + 2)

= 20 + 3.6 - 11

= 23.6 - 11

= 12.6.

Determine if the two triangles shown are similar. If so, write the similarity statement. options: A) ΔUVW ∼ ΔFGH B) The triangles are not similar. C) ΔWUV ∼ ΔFGH D) Impossible to determine.

Answers

Answer:

B (from down below) They are similar but your q does not match up with the picture

Step-by-step explanation:

to determine if two triangles are similar you have to make sure the ratios are the same. So 10 / 8 = 1.25, so all sides should have this ratio. 15 / 12 is also 1.25 so you know to sides are similar and also the triangles ARE SIMILAR. So The statement would be KMN is similar to KLP.

What is the slope of the line that passes through the points (–20, 18) and (30, 14)?

Answers

Answer:  the fraction -2/25

Explanation:

Use the slope formula. We subtract the y values together, and do the same for the x values as well. Subtract in the same order each time. Then you divide the two results. Reduce the fraction if possible.

m = (y2 - y1)/(x2 - x1)

m = (14 - 18)/(30 - (-20))

m = (14 - 18)/(30 + 20)

m = -4/50

m = -2/25

Answer:

[tex]-\frac{2}{25}[/tex]

Step-by-step explanation:

Slope is rise over run.

[tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (–20, 18) and (30, 14).

[tex]m=\frac{14-18}{30+20}=\frac{-4}{50}=-\frac{4}{50}=-\frac{4/2}{5/2}=\boxed{-\frac{2}{25}}[/tex]

The slope is -2/25.

Brainilest Appreciated.

Brett is making chocolate bars. He wants to make 35 bars from Monday to Friday. One cocoa pod makes ⅚ of bar. If he harvests the same number of cocoa pods each day, how many cocoa pods should he harvest each day to reach his goal of making 35 bars total from Monday to Friday?

Answers

Answer:

9

Step-by-step explanation:

one cocoa pod makes 5/6 bar

to make 35 bars, he needs

35 / (5/6) = 35 * 6/5 = 42 pods

Monday - Friday is 5 days

42/5 = 8.4

He needs more than 8 pods per day, so he must harvest 9 pods per day.

Answer:

8.4

Step-by-step explanation:

Emily has driven 600 miles so far on her way to the beach. If her total trip will be 850 miles‚ about what percentage of the drive does she have left to complete? a) 15% b) 29% c) 40% d) 73%

Answers

Answer:

B) 29%

Step-by-step explanation:

First, we subtract 600 from 850 to get the distance she has left. 850 - 600 = 250. Next, we take 250 and divide it by 850 to get the decimal which is 0.294117647. We can round this answer to 0.29 and convert this answer to a percentage which is 29%.

Answer:

B. 29%

Step-by-step explanation:

Percentages can be found by dividing the part by the whole, then multiplying by 100.

(part/whole) * 100

We have to find the percentage of the drive she has left.

Therefore, the part is the miles she has left and the whole is the total trip.

(miles left/total trip) * 100

First, we need to find how many miles she has left. We must subtract the miles she has driven from the total trip.

total - miles driven

She has 850 total miles and has driven 600 miles.

850-600

250

She has 250 miles left.

Now we know the miles she has left.

(miles left/total trip) * 100

miles left = 250

total trip= 850

(250/850) * 100

Solve inside the parentheses first. Divide 250 by 800.

(0.29411765)*100

Multiply

29.411765

Round to the nearest whole number. The 4 in the tenth place tells us to leave the whole number as is.

29

Therefore, she has about 29% of her trip left.

10. The easily accessible part of an emergency fund is
O cash
O credit cards
O savings
O CDs

Answers

Answer:Si está tratando de ahorrar dinero a través de un presupuesto pero todavía acarrea una deuda grande, comience por la deuda. ¿No está convencido? Sume cuánto gasta por mes en la manutención de la deuda y rápidamente se dará cuenta. Una vez que esté libre de pagar intereses sobre su deuda, ese dinero puede ahorrarse fácilmente. Una línea de crédito personal es solo una opción para consolidar la deuda, para poder cancelarla mejor.

Step-by-step explanation:

Answer: A. Cash

Cash is the most liquid, meaning that it can be accessed quickly and (nearly) everyone accepts it as payment. Though there are some vendors who only accept credit cards.

CD stands for Certificate of Deposit. This is like a savings account but with a higher interest rate. The catch is that the money must be locked into the account for a certain length of time. You cannot withdraw the money unless you want to incur a penalty.

A line passes through the point (2,-5) and is perpendicular to the line with the
equation y= 1/5x+ 5. What's the equation of the line?
OA) y = -1/5X + 1
B) y = -5x + 5
OC) y = 5x - 2
D) y=1/5x+4

Answers

Answer: B) y = -5x+5

slope = -5, y intercept = 5

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

Explanation:

The given equation has slope 1/5. We can see that by comparing it to y = mx+b, with m as the slope.

Flip the fraction and the sign to go from 1/5 to -5/1 = -5. The perpendicular slope is -5. We can stop here since only choice B has such a slope.

---------------

If you're curious about finding the y intercept, then you would use m = -5 along with (x,y) = (2,-5) to find the value of b

y = mx+b

-5 = -5(2)+b

-5 = -10+b

-5+10 = -10+b+10 ... adding 10 to both sides

5 = b

b = 5 is the y intercept

So we have y = mx+b update to y = -5x+5 as the perpendicular line.

Answer:

[tex]y = - 5x + 5[/tex]

Step-by-step explanation:

[tex]y = \frac{1}{5} x + 5 \\ m = \frac{1}{5} \\ m1 = \frac{ - 1}{m2} [/tex]

.

[tex] \frac{1}{5} = \frac{ - 1}{m2 } \\ m2 = - 5 \\ x = 2 \: y = - 5 \\[/tex]

[tex] y = mx + c \\ - 5 = - 5(2) + c \\ - 5 = - 10 + c \\ - 5 + 10 = c[/tex]

[tex]c = 5 \\ m = - 5 \\ y = mx + c \\ y = - 5x + 5[/tex]

Sam's total expenses last month were $1840. What was his total variable cost for last
month?
Expense
Amount
Rent
$100
Groceries and drinks
$1000
$10
Insurance premiums
Loan interest payment
Clothes
$30
$200
&
Utilities
$300
Home security fee
$200​

Answers

Answer:

$1500

Step-by-step explanation:

It is given that

Rent  = $100

Groceries and drinks = $1000

Insurance premiums   = $10

Loan interest payment  =$30

Clothes  = $200

Utilities  = $300

Home security fee  = $200​

Fixed cost are costs that does not vary and variable cost are costs that vary with goods and services.

In the given problem, rent , insurance premiums, loans interest payment ad home security fee are fixed cost.

Groceries and drinks, clothes and utilities are variable cost.

So, total variable cost for last month is

[tex]\text{Total variable cost}=\$1000+\$200+\$300=\$1500[/tex]

Therefore, total variable cost for last month is $1500.

Answer:

$1500

Step-by-step explanation:

I just took the test and got it right

Find the area of the following shape.

Answers

Answer:8

Step-by-step explanation:

Answer:

How do you figure 8?

A=1/2(L*W) triangle but what is the work?

ASAP!! can someone help solve any of these? whoever answers the most gets brainliest, i underlined the questions

Answers

Answer:

can u please type out the photo is too dark to see the questions

Step-by-step explanation:

The temperature at noon is -4 degrees Celsius. The temperature at 6:00 is -12 degrees Celsius. What is the difference between the noon and the 6:00 pm temperatures?

Answers

Answer:

-8 degrees

Step-by-step explanation:

12-4 is 8 so the difference is -8

There is a difference of 8 degrees Celsius.
-4-(-12)= 8

A chess player moves a knight from the location (3, 2) to (5, 1) on a chessboard. If the bottom-left square is labeled (1, 1), the translation made is (options, 2 squares up and 1 square right, 1 square down and 2 squares left, 1 square down and 2 squares right or 2 squares down and 1 square right) If the player moves the knight from (5, 1) to (6, 3), the translation made is (options, 1 square up and 1 square right. 2 squares up and 1 square right, 4 squares up and 2 squares right or 2 squares up and 1 square left)

Answers

Answer:

1. one square down two squares right

2. two squares up one square right

Answer:

one square down two squares right

Step-by-step explanation:

.

Other Questions
a supermarket sells 4 brands of detergents a,b,c and d on a particular day 15% of the total boxes sold was brand a and 45% was brand c.Find the ratio of number of boxes of brand a sold to the number of boxes sold. Give your answser in a fraction Search Results Web results Klumper Corporation is a diversified manufacturer of industrial goods. The companys activity-based costing system contains the following six activity cost pools and activity rates: Activity Cost Pool Activity Rates Supporting direct labor $ 9 per direct labor-hour Machine processing $ 3 per machine-hour Machine setups $ 40 per setup Production orders $ 170 per order Shipments $ 115 per shipment Product sustaining $ 750 per product Activity data have been supplied for the following two products: Total Expected Activity K425 M67 Number of units produced per year 200 2,000 Direct labor-hours 1,050 40 Machine-hours 2,800 30 Machine setups 17 2 Production orders 17 2 Shipments 34 2 Product sustaining 2 2 Required: How much total overhead cost would be assigned to K425 and M67 using the activity-based costing system? Which image below represents the electric field lines between two positively charged particles? (2 points)A positive particle sits in the center of a dotted circle. There is a negative particle along the dotted circle.Two particles sit side by side. There are curved field lines that point from one particle to the other in a counter clockwise direction above the particles and a clockwise direction below the particles.Two particles sit side by side. There are curved field lines that point away from each particle. The particle on the right has field lines pointing to the right. The particle on the left has field lines pointing to the left.One particle sits in the center of curved field lines that extend beyond the particle then return to the particle. Arrows along the curved field lines point in a clockwise direction above the particle and a counter clockwise direction below the particle. Fuller Food Company distributes coupons which may be presented (on or before a stated expiration date) to grocers. The grocers are reimbursed when they send the coupons to Fuller. In Fuller's experience, 50% of such coupons are redeemed, and generally one month elapses between the date a grocer receives a coupon from a consumer and the date Fuller receives it. During 2012 Fuller issued two separate series of coupons as follows: Issue On Total Value Consumer Expiration Date Amount Disbursed as of 12/31/121/1/12 $720,000 6/30/13 $300,0007/1/12 500,000 12/31/12 190,0001. The December 31, 2012 balance sheet should indicate a liability for unredeemed coupons of:a. $730,000b. $60,000c. $124,000d. $120,000e. $365,0002. Case Corporation issues $100,000, 10%, five-year bonds at 94. The total interest expense over the life of the bonds is:a. $56,000b. $44,000c. $50,000d. $54,000e. $46,000 The closeness of particles of gas and their low speeds allow intermolecular forces to become important at certain pressures and temperatures. Which best describes this statement? This is a limitation of the kinetic-molecular theory. This is a postulate of the kinetic-molecular theory. This describes ideal gas behavior using the kinetic-molecular theory. This describes ideal gas behavior without the kinetic-molecular theory. suppose y varies inversely with x, and y = 6 when x = 3. Find x when y = 12. Which politician is seen as an ally of big business and the trusts? 4. A 120 V potential difference is applied to a space heater whose resistance is 14 when hot. a) At what rate is electrical energy transferred to thermal energy? b) What is the cost for 5.0 h at $0.05/kWh? 5. Which piece of evidence bestsupports the idea thatdehumanization increases immoralbehavior?A "When given an order bysomeone in authority, peoplewould deliver what they believedto be extreme levels of electricalshock to other study participantswho answered questionsincorrectly." ( Paragraph 4)B "Bandura found students weremore apt to deliver what theybelieved were increased levels ofelectrical shock to the otherstudents if they had heard themcalled animals." ( Paragraph 8)C The experiment showed thatinstitutional forces and peerpressure led normal studentvolunteer guards to disregard thepotential harm of their actions onthe other student prisoners."Paragraph 14)D'You don't need a motive,Zimbardo said. All you really needis a situation that facilitates moving across that line of good and evil.(Paragraph 15) Write Lincoln's call to action in your own wordsWith malice toward none, with charity for all, with firmness in the right as God gives us to see the right, let us strive on to finish the work we are in, to bind up the nations wounds, to care for him who shall have borne the battle and for his widow and his orphan, to do all which may achieve and cherish and just and lasting peace among ourselves and with all nations what does the variable k represent in the following equation : k/2 +1/2=3 (06.01 MC)What is the value of the expression 2 + 3^2 (3 1)? A magazine provided results from a poll of adults who were asked to identify their favorite pie. Among the respondents, % chose chocolate pie, and the margin of error was given as percentage points. Describe what is meant by the statement that "the margin of error was given as percentage points.Which one would be a true statement?A. The statement indicates that the study is 100%3%=97% confident that the true population percentage of people that prefer chocolate pie is 11%B. The statement indicates that the interval 11%+3% is likely to contain the true population percentage of people that prefer chocolate pie.C. The statement indicates that the true population percentage of people that prefer chocolate pie is in the interval 11%3%.D. The statement indicates that the study is only 3% confident that the true population percentage of people that prefer chocolate pie is exactly 11%. A simple random sample of 100 observations was taken from a large population. The sample mean and the standard deviation were determined to be 80 and 14 respectively. The standard error of the mean is Does the function (x) = 7x + 3 represent exponential growth, decay, or neither? Pine trees that are too tall or too short do not do as well as pine trees that are average in height. The short trees do not get as much light as tall or average trees. The tall trees are more likely to break off in storms. Tell how this is an example of stabilizing selection. Be sure to define stabilizing selection in your answer. The belief that spirits inhabit natural objects in the world around us is known as Please Help ASAP! Will name Brainliest! Question: Minimize the objective function P = 5x + 8y for the given constraints. x 0 y 0 2x + 3y 15 3x + 2y 15 Answer: 25, 46, 39, 37.5 Compute the mean and variance of the following probability distribution. (Round your answers to 2 decimal places.) x P(x) 6 0.10 12 0.35 18 0.25 24 0.30 Which could be used to evaluate the expression43)O (-6)(4)+(-010 (-6)(4) (-6) (3O (-6+4)+ -6G0 (-6+4)*|-6-