Please help! Fin, the measures of the numbered angLes 1 and 4!

Please Help! Fin, The Measures Of The Numbered AngLes 1 And 4!

Answers

Answer 1

Applying the properties of a rhombus, the measures of the numbered angles are:

m<1 = 58°

m<2 = 90°

m<3 = 32°

m<4 = 58°

What are the Properties of a Rhombus?

Some properties of a rhombus include:

Angles that are opposite each other are congruent/equal.Diagonals intersect each other at right angles.Diagonals bisect each angle in a rhombus.Adjacent angles are supplementary.

Given the rhombus in the image above, the numbered angles are:

m<3 = 32° [opposite angles are equal]

m<2 = right angle = 90°

m<1 = 180 - 90 - 32 = 58°

m<1 = m<4

m<4 = 58°

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Related Questions

Ill give 100 points good luck

Ill give 100 points good luck

Answers

Answer:

1/2

Step-by-step explanation:

Answer

1/2

Explanation

Good Luck ^-^

*Eight is added to three times a number 'x' gives 15".​

Answers

Answer:

x+8 =15

x=15-8

x=7 .

this is the answer

Answer:

3x + 8 = 15

(If you wanted to solve it then:) x = 7/3

Step-by-step explanation:

Let's convert that into an equation.

Let "x" be the number.

3x + 8 = 15

If the question was to answer it, look below:

3x + 8 = 15

3x = 7

x = 7/3

Hope this helped! If not, please let me know! <3

3. A construction company uses the function (p), where P is the number of
people working on a project, to model the amount of money it spends to
complete a project. A reasonable domain for this function would be
(3)
positive integers
positive real numbers
(2) both positive and negative integers
(4) both positive and negative real numbers

3. A construction company uses the function (p), where P is the number ofpeople working on a project,

Answers

The domain of the function would be a positive integer.

So option 1) positive integer is correct.

What is the domain of the function?

Domain of a function is the set of values accepted by the function.

So in this question the value is always a integer.

Consider the function y = f(x), which has the independent variable x and the dependent variable y. A value for x is said to be in the domain of a function if it successfully allows the production of a single value y using another value for x.

And the model is made to determine the amount of money spend to complete the project.

We can't define money in negative term.

So it must be a positive integer.

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noah works at a coffee shop that offers a special limited edition drink during the month of june. it is always a hassle to get his colleagues to agree on the special drink, so he started providing them with a different sample each morning starting well before june. one day, every employee agreed that the daily sample would be a good choice to use as the limited edition beverage in june, so they chose that drink as the special and didn’t taste any more samples. escalation satisficing intuition brody is an experienced manager who needs to hire a new financial analyst. there are five people who might be right for the job. when brody meets the first applicant, he knows instantly that he doesn’t like her and doesn’t want her working for him. as a result, he cuts short his interview with her and moves on to the next candidate. satisficing escalation intuition last month, the pilots association held a meeting to discuss its plans for next year. last year, the group spent more than $50,000 to develop plans for a new airport hub. the hub was criticized by airport officials, who suggested that they would not be interested in the project at any time. the group decided to continue developing their plans, because they had already invested so much in the project. intuition satisficing escalation choose the best answer to complete the sentence. mikaela started attending a zumba class on tuesday and thursday afternoons and found that it gave her a good workout, so that has been her exercise routine ever since. the involved in this decision-making process ensures mikaela exercises on a regular schedule.

Answers

The decision-making process involved in Mikaela's decision to attend a Zumba class on Tuesday and Thursday afternoons and make it her regular exercise routine is "escalation."

In the scenario described, Mikaela initially started attending the Zumba class on Tuesday and Thursday afternoons. She found that it gave her a good workout and was satisfied with the results. As a result, she continued attending the class on those days and made it her regular exercise routine. This decision to stick to the same schedule without considering other options or making changes over time is an example of escalation.

Escalation in decision-making refers to the tendency to persist with a chosen course of action even if it may not be the most optimal or efficient choice. It occurs when individuals continue to invest time, effort, and resources into a decision or course of action, even if there may be better alternatives available. In this case, Mikaela has decided to stick with the Zumba class on Tuesday and Thursday afternoons because she found it effective and enjoyable, and she hasn't explored other exercise options since then.

It's important to note that escalation may not always be the best approach in decision-making. It's always a good idea to periodically reassess and evaluate the choices we make to ensure they still align with our goals and needs. Mikaela might benefit from periodically evaluating her exercise routine to see if it still meets her fitness goals and if there are other options she could explore for variety or improved results.

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Please help!!! Angles!

Please help!!! Angles!

Answers

Answer:

m∠JKM = 63°

m∠MKL = 27°

Step-by-step explanation:

Since ∠JKL is a right angle. This means that by summing up both m∠JKM and m∠MKL will result in the same as ∠JKL figure. Thus, m∠JKM + m∠MKL = m∠JKL which is 90° by a right angle definition.

\(\displaystyle{\left(12x+3\right)+\left(6x-3\right) = 90}\)

Solve the equation for x:

\(\displaystyle{12x+3+6x-3 = 90}\\\\\displaystyle{18x=90}\\\\\displaystyle{x=5}\)

We know that x = 5. Next, we are going to substitute x = 5 in m∠JKM and m∠MKL. Thus,

m∠JKM = 12(5) + 3 = 60 - 3 = 63°

m∠MKL = 6(5) - 3 = 30 - 3 = 27°

Find 3 consecutive odd integers such that 10 times the first is 59 more than the third

Answers

9514 1404 393

Answer:

  7, 9, 11

Step-by-step explanation:

Let x represent the middle integer. Then the first is x-2, and the third is x+2. The given relation is ...

  10(x -2) = 59 +(x +2)

  10x -20 = x +61 . . . . eliminate parentheses

  9x = 81 . . . . . . . . . . . add 20-x

  x = 9 . . . . . . . . . . . . . divide by 9

The integers are 7, 9, 11.

_____

Check

  7·10 = 11 +59 . . . true

What is the value of the expression
-13(21 4/9)

Answers

The value of the expression is 284 5/ 9

What is a fraction?

A fraction can be defined as the part of a whole.

Some types of fractions are;

Mixed fractionsSimple fractionsImproper fractionsProper fractions

Given the fraction;

-13(21 4/9)

First, we convert the mixed fraction in the bracket to a proper fraction

- 13( 197/ 9)

Now, let's expand the bracket

-2561/ 9

Find the quotient

284 5/ 9

Thus, the value of the expression is 284 5/ 9

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If the initial amount of iodine-131 is 537 grams , how much is left after 10 days?

Answers

Answer:

225.78 grams

Step-by-step explanation:

To solve this question, we would be using the formula

P(t) = Po × 2^t/n

Where P(t) = Remaining amount after r hours

Po = Initial amount

t = Time

In the question,

Where P(t) = Remaining amount after r hours = unknown

Po = Initial amount = 537

t = Time = 10 days

P(t) = 537 × 2^(10/)

P(t) = 225.78 grams

Therefore, the amount of iodine-131 left after 10 days = 225.78 grams

need help please: show that 2^2020+2^2022=5.2^2020​

Answers

The expression 2^2020+2^2022=5.2^2020​ is proved below

How to show the expression

From the question, we have the following parameters that can be used in our computation:

2^2020+2^2022=5.2^2020​

Express 2022 as 2020 + 2

So, we have the following representation

2^2020+2^(2020 + 2) = 5.2^2020​

When expanded, we have

2^2020+2^(2020) * 2^2 = 5.2^2020​

Factor out 2^2020

2^2020 * (1 + 2^2) = 5.2^2020​

Evaluate

2^2020​ * 5 = 5. 2^2020​

This implies that

5.2^2020​ = 5.2^2020​

HEnce, the expression has been proved

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What is the answer to |745 - 325|

Answers

Answer:

420

Step-by-step explanation:

Simplify: 745 - 325745 - 325 = 420

I hope this helps!

A manufacturer makes two types of handmade fancy paper bags: type A and type B. Identify the number of bags of each type to be manufactured to obtain maximum profit.

A manufacturer makes two types of handmade fancy paper bags: type A and type B. Identify the number of

Answers

Let a represent the number of bag A

Let b represent the number of bag B

From the information given,

A type A bag requires 2 hours o the cutter's time while type B requires 3 hours of the cutter's time.The total time the cutter is available is 108 hours. The inequality representing the total number of hours for the cutter is

2a + 3b ≤ 108

A type A bag requires 3 hours o the finisher's time while type B requires 1 hour of the finisher's time.The total time the cutter is available is 78 hours. The inequality representing the total number of hours for the finisher is

3a + b ≤ 78

We would plot these inequalities. The graph is shown below

The solution region is the purple region. The boundary lines are shown as well

The equation for the profit is

12a + 9b

We would substitute the values in the graph and select the maximum

For (0, 36),

Profit = 12(0) + 9(36) = 324

For (18, 24),

Profit = 12(18) + 9(24) = 432

For (26, 0),

Profit = 12(26) + 9(0) = 312

Thus, the correct option is C

A manufacturer makes two types of handmade fancy paper bags: type A and type B. Identify the number of

While cleaning out the garage, Nelson discovers some containers of oil that need to be taken in for recycling. The containers hold 25 fluid ounces, 2 cups, and 7 quarts, respectively. Find the total amount of oil ready to be recycled (in fluid ounces)

Answers

Answer:265

Step-by-step explanation: 2 cups is 16fluid Ounce, 7quaryz is 224 fluid ounce

Total will 265 fluid ounce (225+16+224)

HELPPPP PLS (marking brainliest!!)
The measures of the angled in triangle UVW are shown in the diagram below. X= ? Angle UVW= ? degrees

HELPPPP PLS (marking brainliest!!)The measures of the angled in triangle UVW are shown in the diagram

Answers

ans:

x= 45

UVW= 126

(the explanation in the pic is v rough tho so if u want a more detailed one please ask lol)

HELPPPP PLS (marking brainliest!!)The measures of the angled in triangle UVW are shown in the diagram

Washington High School is building a new running track. The track is
constructed from a rectangle and two semicircles, as shown.
10244
500R
What is the best estimate of the total distance around the track?
A) 1320 feet
B) 1000 feet
C 1204 feet
D) 1560 feet​

Answers

Hey there!

The correct option is:

B) 1000 feet

Explanation:

The best estimate of the total distance around the track is 1000 feet.

Hope it help you

A scientist has developed a time-travel machine, but the machine is malfunctioning. At first he goes forward three years in time, then jumps forward two times the current year. Then, the machine takes him back 2000 years. He ends up in the year 2023. What year did he first operate the time-travel machine?​

Answers

The scientist first operated the time-travel machine in the year 7.

To determine the year the scientist first operated the time-travel machine, we need to work backward from the given end point of 2023.

Since he ended up in 2023, we know that after going back 2000 years, the scientist was in the year 23. Going back even further, we subtract three years to account for the initial forward jump. This takes us to the year 20.

From there, we need to find the year when the scientist made the jump forward by two times the current year. To do this, we divide 20 by 2, resulting in 10. This means that the scientist made the jump forward in the year 10.

Finally, to determine the year when he first operated the time-travel machine, we subtract three more years from 10, which gives us the year 7.

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O is the centre of the circle and ABC and EDC are tangents to the circle

Answers

Answer:

what is your question?

Answer:

28

Step-by-step explanation:

The angle mBFD inscribes the arc mBD, so we have that:

mBFD = mBD/2

76 = mBD/2

mBD = 152°

The angle mBOD is a central angle related to the arc mBD, so we have that:

mBOD = mBD = 152°

In the quadrilateral BODC, the sum of internal angles needs to be equal to 360° (property of all convex quadrilaterals). The angles mCBO and mCDO are right angles, because EDC and ABC are tangents to the circle.

So, we have that:

mBOD + mCDO + mBCD + mCBO = 360

152 + 90 + mBCD + 90 = 360

mBCD = 360 - 90 - 90 - 152

mBCD = 28°

How do you know if triangles are congruent in SAS?

Answers

With the help of the figure we can say that triangles are congruent by SAS Rule

What is Congruence of Triangle?

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides are equal and all three of their corresponding angles are equal in size. These triangles can be moved, rotated, flipped, and turned to look exactly the same.

Solution:

By SAS rule, two triangles are said to be congruent if any two sides and the angle included between the sides of one triangle are comparable to the corresponding two sides and the angle included between the sides of the second triangle.

In given figure, sides AB= PQ, BC=QR and angle between AB and BC equal to angle between PQ and QR i.e. ∠B = ∠Q. Hence, Δ ABC ≅ Δ PQR.

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How do you know if triangles are congruent in SAS?

can someone help me solve this and find the volume please

can someone help me solve this and find the volume please

Answers

The volume of the right triangular prism is 330 cubic units.

Describe Right Triangle Prism?

A right triangular prism is a three-dimensional solid shape that has two parallel triangular bases and three rectangular faces. The triangular bases are perpendicular to the rectangular faces. The edges of the rectangular faces are perpendicular to both the triangular bases and the lateral faces. The right triangular prism is named so because it has a right angle or 90-degree angle between one of the rectangular faces and one of the triangular bases. The volume of a right triangular prism can be found by multiplying the area of the triangular base by the height of the prism. The surface area of a right triangular prism can be found by adding the areas of all the faces.

The base of the prism is a right triangle with base 5 and height 12, so the area of the base is:

(1/2)(5)(12) = 30

The volume of the prism is the area of the base times the height of the prism, which is 11. So:

V = 30(11) = 330

Therefore, the volume of the right triangular prism is 330 cubic units.

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Marco has two bags of candy. One bag contains three red lollipops and
2 green lollipops. The other bag contains four purple lollipops and five blue
lollipops. One piece of candy is drawn from each bag. What is the probability
of choosing a green lollipop and a purple lollipop?

Answers

The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45

We have to given that;

One bag contains 3 red lollipops and 2 green lollipops.

And, The other bag contains four purple lollipops and five blue lollipops.

Hence, The probability of choosing a green lollipop is,

P₁ = 2 / 5

And, The probability of choosing a purple lollipop is,

P₂ = 4 / 9

Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,

P = P₁ ×  P₂

P = 2/5 × 4/9

P = 8/45

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A store sells grape jelly in 15-ounce jars for $13.59. Find the price per ounce

Answers

Answer:

91 cents per ounce

Step-by-step explanation:

Divide 13.59 by 15

Answer: $0.91

Step-by-step explanation:

Take $13.59 divided by 15 = $0.91 per ounce

If you can, please give me a Brainliest, I need 2 more to get to the highest rank,  thank you!

Taylor Wilson bought 15, $1,000 Maryville Sewer District bonds at 103:228. The in the bonds?
broker charged

Answers

Answer:

Step-by-step explanation:Taylor Wilson purchased 15 Maryville Sewer District bonds at a price of 103 dollars and 228 cents per bond, each with a face value of 1,000 dollars, for a total investment of 15,453 dollars.

Alecia placed the numbers 0, 2, 14, -8, and -11 on the number line. Which of the numbers is furthest from zero?

Answers

Answer:

14

Step-by-step explanation:

For what intervals of x is f(x) increasing

For what intervals of x is f(x) increasing

Answers

Answer:

The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.

A sample of 8 households was asked about their monthly income (X) and the number of hours they spend connected to the internet each month (Y). The data yield the following statistics: = 324, = 393, = 1720. 875, = 1150, = 1090. 5. What is the y-intercept of the regression line of hours on income?

Answers

The y-intercept of the regression line can be calculated using the formula: y-intercept = mean of Y - slope × mean of X.
In this case, the mean of Y is 324, and the mean of X is 875.

To find the slope, we need to calculate the covariance and variance of X and Y.
First, let's calculate the covariance:
Cov(X,Y) = (ΣXY - (ΣX × ΣY) / n)

= ((393×324) + (1720×875) + (1150×1090)) - ((324+393+1720)×(875+1150+1090)) / 8

= 699366 - 1575000 / 8

= -87500 / 8

= -10937.5
Next, we calculate the variance of X:
Var(X) = (ΣX² - (ΣX)² / n)

= ((324²) + (393²) + (1720²)) - ((324+393+1720)²) / 8

= 2419201 - 1575000 / 8

= 844201 / 8

= 105525.125
Now we can find the slope:
slope = Cov(X,Y) / Var(X)

= -10937.5 / 105525.125

= -0.103725
Finally, we can calculate the y-intercept:
y-intercept = mean of Y - slope × mean of X

= 324 - (-0.103725 × 875)

= 324 + 90.556875

= 414.556875.

Therefore, the y-intercept of the regression line of hours on income is approximately 414.56.

This means that when the monthly income is zero, the predicted number of hours spent connected to the internet is around 414.56.

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The triangles are similar, find the length of the unknown side. Round your answers to the nearest tenth (0.1), if necessary.
please help me

The triangles are similar, find the length of the unknown side. Round your answers to the nearest tenth

Answers

Answer:

\(22\)

Step-by-step explanation:

Similar shapes must have corresponding sides in a constant proportion. Therefore, we can set up the following equation and solve for \(?\):

\(\frac{28}{42}=\frac{?}{33}\) (divide corresponding sides)

\(\frac{28}{42}=\frac{?}{33},\\\\?=\frac{28\cdot 33}{42}=\boxed{22}\)

Is the height of these students a function of their wrist circumference?

Yes because as wrist circumference increases height also increases.
O Yes because a line can be fit to these data to predict other pairings.
No because the height of 151 cm is paired with two wrist circumferences.
O No because the wrist circumference of 16 cm is paired with two heights,

Is the height of these students a function of their wrist circumference?Yes because as wrist circumference

Answers

No because the wrist circumference of 16 cm is paired with two heights

hope this helps

Whats 3 x 5
pls i give brainlieistsd

Answers

Answer:

the answer is 15 hdkdiemidd

let f(x) = x 4 2x 2 − x − 3. verify, using algebraic manipulations, that if f(p) = 0 then each of the following four functions have a fixed point at p
g1(x)=(3+x-2x2)1/4
g2(x)=(x+3-x4/2)1/2
g3(x)=x+3/x2+2)1/2
g4(x)=3x4+2x2+3/4x3+4x-1

Answers

We cannot verify if each of the four functions g1(x), g2(x), g3(x), and g4(x) have a fixed point at p when f(p) = 0.

To verify that if f(p) = 0, then each of the four functions g1(x), g2(x), g3(x), and g4(x) have a fixed point at p, we need to substitute p into each function and check if the result is equal to p.

g1(x) = (3+x-2x^2)^(1/4)

Let's substitute p into g1(x):

g1(p) = (3+p-2p^2)^(1/4)

To verify if g1(p) = p, we need to show that (3+p-2p^2)^(1/4) = p.

Since this is not an algebraic manipulation that can be solved easily, we cannot confirm if g1(x) has a fixed point at p without further calculations or approximations.

g2(x) = (x+3-x^4/2)^(1/2)

Let's substitute p into g2(x):

g2(p) = (p+3-p^4/2)^(1/2)

To verify if g2(p) = p, we need to show that (p+3-p^4/2)^(1/2) = p.

Since this is not an algebraic manipulation that can be solved easily, we cannot confirm if g2(x) has a fixed point at p without further calculations or approximations.

g3(x) = (x+3/x^2+2)^(1/2)

Let's substitute p into g3(x):

g3(p) = (p+3/p^2+2)^(1/2)

To verify if g3(p) = p, we need to show that (p+3/p^2+2)^(1/2) = p.

Since this is not an algebraic manipulation that can be solved easily, we cannot confirm if g3(x) has a fixed point at p without further calculations or approximations.

g4(x) = (3x^4+2x^2+3)/(4x^3+4x-1)

Let's substitute p into g4(x):

g4(p) = (3p^4+2p^2+3)/(4p^3+4p-1)

To verify if g4(p) = p, we need to show that (3p^4+2p^2+3)/(4p^3+4p-1) = p.

Since this is not an algebraic manipulation that can be solved easily, we cannot confirm if g4(x) has a fixed point at p without further calculations or approximations.

Therefore, based on algebraic manipulations alone, we cannot verify if each of the four functions g1(x), g2(x), g3(x), and g4(x) have a fixed point at p when f(p) = 0. Further calculations or approximations would be required to determine the fixed points of these functions.

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Ship A receives a distress signal from the north, And ship B receives a distress signal from the same vessel from the southeast. At what location is the vessel in distress located? Describe how you arrived at your conclusion using compete sentences. You must show all work in order to receive credit.

Answers

The coordinates of Ship A and B are missing, so i have attached it

Answer:

The vessel in distress is located at the coordinate (1, 2)

Step-by-step explanation:

The coordinates attached shows that;

Coordinates of A are (3, 4) while that of B are (1, 1).

We are told that Ship A receives a distress signal from the north, And ship B receives a distress signal from the same vessel from the southeast.

Now, from the image attached, If we imagine extending the line of ship A that is getting distress signal from southeast and also same thing for ship B that is getting signal from north,we'll discover that the lines intersect at a point with co-ordinates of approximately; (1, 2)

Ship A receives a distress signal from the north, And ship B receives a distress signal from the same

katrina wants to earn $600 this week in commission what is the minimum amount she needs sell in order to earn $600 if she earns a 7.5% commission on everything she sells

Answers

Answer:

$8,000

Step-by-step explanation:

Let minimum amount she needs to sell = x

Commission rate = 7.5%

Amount of commission = $600

7.5% of x = 600

7.5/100 * x = 600

0.075 * x = 600

0.075x = 600

x = 600/0.075

= 8,000

x = $8,000

The minimum amount she needs to sell in order to earn $600 if she earns a 7.5% commission on everything she sells is $8,000

Other Questions
initially the concentration of HF was 0.250 M. Before the reaction reaches equilibrium, the pH was measured to be 3.47. What is the value of Q Simplify.(2 + 8i) + (3 + 8i) Write a persuasive essay in response to the following prompt: Students should/ should not be allowed to have cell phones in class.At least 400 words please Find 5 consecutive integers such that: the sum of 7the first and 7 times the third is equal to 70 less than 4 times the sum of the second, fourth, and fifth If the radius of a semi circle was 135cm squared what would the circumference be? Please round to the nearest centimetre to make it easier for me. I will give brainliest. How much would $200 invested at 5% interest compounded monthly be worth after 9 years? Round your answer to the nearest cent. A.$363.82B.$310.27C.$313.37D.$207.63 llusions result from of sensory input; extrasensory perception involves perception that is sensory input. a.representations; greater than b.misperceptions; independent of c.manipulation; false d.damage; beyond Which of the following is most likely to cause Gaussian noise ona network? Loose cable connection Power spike Power outage Trafficon the highway autry company manufactures veterinary products. one joint process involves refining a chemical (dactylyte) into two chemicals: dac and tyl. one batch of 5,000 gallons of dactylyte can be converted to 2,000 gallons of dac and 3,000 gallons of tyl at a total joint processing cost of $12,000. at the split-off point, dac can be sold for $3 per gallon and tyl can be sold for $4 per gallon. autry has just learned about a new process to convert dac into prodac. the new process costs $4,000 and yields 1,700 gallons of prodac for every 2,000 gallons of dac. prodac sells for $5 per gallon.should autry process dac further? What would be the safest thing to do if you encountered a honey badger? Cite evidence from the text to support your argument. In the following schematic drawing of the cytosolic side of human red blood cell plasma membrane, which of the labeled proteins is spectrin?A, the peripheral membrane protein 1) Advertisement XYZ Company charges $35 for the first four lines and $5.25 per extraline to run the ad for one week. Jacqueline plans to sell her house and places a 15-linead.a. What will Jacqueline's ad cost to run for one week?b. What will Jacqueline's ad cost to run for four weeks? Q1. Draw the probability distributions (pdf) for Xbin (8, p) (x) for p = 0.25, p = 0.5, p = 0.75, in their respective diagrams.ii. What kind of effect has a higher value for p on the graph, compared to a lower value?iii.You must hit a coin 8 times. You win if there are exactly 4 or exactly 5 coins, but otherwise lose. You can choose between three different coins, with pn = P (coin) respectively p1 = 0.25, p2 = 0.5, and p3 = 0.75. Which of the three coins gives you the highest probability of winning? Does the human genome contain 23 pairs of genes?. 3 square feet divided by 1/7 foot point a has coordinates of (3.6) A) write down the coordinates of point BB) find the gradient of line AB unnecessary information, words, and phrases are considered to be ________, and do not help the communicator achieve their purpose. how do temperatures in the paleocene and eocene generally compare with temperatures in the holocene? Nitrogen (N) has one more proton than Carbon (C) where did the proton come from in this reaction?What type of reaction is depicted in the equation above? Use the Z score formula and the information below to find the mean round your answer to one decimal place if necessary