There are 8 soccer matches per day at Greenville's annual soccer tournament, which lasts 17 days. Estimate the number of soccer matches during the tournament by rounding the larger number to the nearest ten.

Answers

Answer 1
Final answer:

The estimation of the total number of soccer matches in Greenville's annual tournament, with 8 matches each day for around 20 days, is approximately 160 matches.

Explanation:

The student is asking for an estimation of the total number of soccer matches in Greenville's annual tournament. There are 8 matches each day, and the tournament runs for 17 days. The part of the question that asks you to round to the nearest ten refers to the 17 days, as this is the larger number. Rounding 17 days to the nearest ten would give us 20 days. Therefore, to estimate:multiply the rounded number of days (20) by the number of matches per day (8), yielding an estimate of 160 soccer matches during the tournament.

Learn more about Estimation here:

https://brainly.com/question/14992908

#SPJ12

Answer 2

Final answer:

The estimated number of soccer matches during Greenville's annual soccer tournament is 160 matches, calculated by rounding 17 days to 20 and multiplying by 8 matches per day.

Explanation:

To estimate the number of soccer matches during Greenville's annual soccer tournament, we round the larger number (17 days) to the nearest ten. Since 17 is closer to 20 than it is to 10, we round up to 20 days for our estimation. With 8 soccer matches per day, we then calculate the estimated number of matches as 8 matches/day × 20 days.

8 matches/day × 20 days = 160 matches

Therefore, an estimated 160 soccer matches will be played during the tournament.


Related Questions

x+3y=6
x-3y = 12
Using elimination

Answers

Answer:

look at the picture shown

Answer:

x = 9 ; y = -1

Step-by-step explanation:

because one equation is 3y and the second is -3y they will cancel out (eliminate) so the term y will be gone and you combine (add) the rest of the terms and end up with

[tex]2x=18[/tex]

then divide both sides by 2 to get: x = 9

plug in the value of x into one of the original problems

[tex]9+3y=6[/tex]

and solve for y

[tex]3y=-3\\y=-1[/tex]

if you plug in the values of x and y into the equations it should be true

it’s solve system by elimination!!! plz help asap

Answers

Answer:

look at the picture shown

Simplify - 10x -4 +3x​

Answers

Combine the like terms -10x and 3x to get -7x.

The answer would be -7x - 4

[tex]\text{Hey there!}[/tex]

[tex]\mathsf{Simply: -10x - 4+3x}[/tex]

[tex]\mathsf{First\ group\ your\ like\ terms}[/tex]

[tex]\mathsf{Like\ terms:-10x\ \&\ 3x}[/tex]

[tex]\mathsf{-10x+3x=-7}[/tex]

[tex]\mathsf{New\ equation: -7 x- 4}[/tex]

[tex]\boxed{\boxed{\bf{Answer:\mathsf{-7x-4}}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Chords NP and MQ intersect at point S in circle R.
If MS = 3, NS = 2, and SQ = 8, what is the length of SP?

Answers

Option C:

The length of SP is 12.

Solution:

In the given circle, NP and MQ are chords of the circle.

MS = 3, NS = 2, SQ = 8

To find the length of SP:

Segments of chords theorem:

If two chords intersects in the interior of a circle, then the product of the lengths of the segment of one chord is equal to the product of lengths of the segments of the other chord.

By this theorem,

NS × SP = MS × SQ

⇒ 2 × SP = 3 × 8

⇒ 2 SP = 24

Divide by 2 on both sides of the equation, we get

SP = 12

Option C is the correct answer.

The length of SP is 12.

Final answer:

Using the Intersecting Chord Theorem, we find that the length of SP is 3/4 by setting up the equation 3 * 2 = SP * 8 and solving for SP.

Explanation:

The student is asking about finding the length of a chord segment in a circle where two chords intersect. Since chords NP and MQ intersect at point S inside circle R, we can apply the Intersecting Chord Theorem.

This theorem states that the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord. In formula terms, MS × NS = PS × SQ.

We are given MS = 3, NS = 2, and SQ = 8. To find the length of SP, we just substitute into the theorem's formula: (3) × (2) = SP × (8). From this, we calculate that SP = 3/4, which is the length of the segment SP.

. COUPONS Kendra used 35 cents more
in coupons at the store than Leanne.
Leanne used 75 cents less than Becca,
who used 50 cents more than Jaclyn.
Jaclyn used 40 cents in coupons. What
was the value of the coupons Kendra
used?​

Answers

Answer:

Kendra used 50 cents

Step-by-step explanation:

Jaclyn used 40 cents. Becca used 50 more than Jaclyn (90). Leanna used 75 cents less than Becca (15). Kendra used 35 cents more than Becca (50).

J=40

B=90

L=15

K=50

Hope this helps! c:

Using the given information, the value of the coupons Kendra used IS 50 cents.

Substitution method: Multiple equations can be solved using the substitution method, where we substitute the value of one variable in different equations to calculate the value of other variables.

Let,

Cents used by Kendra in coupons= K

Cents used by  Leanne in coupons= L

Cents used by  Becca in coupons= B

Cents used by  Jaclyn in coupons= J

Using the given information,

Kendra used 35 cents more in coupons at the store than Leanne,

K=L+35......................................................................................(1)

Leanne used 75 cents less than Becca,

L+75=B......................................................................................(2)

Becca used 50 cents more than Jaclyn,

B=J+50......................................................................................(3)

Jaclyn used 40 cents in coupons,

J=40

Substituting J=40 in (3),

B=90

Substituting B=90 in (2),

L=15

Substituting L=15 in (1),

K=50

Thus, Kendra used 50 cents in coupons.

Learn more about equations, here:

https://brainly.com/question/19297665

#SPJ4

Is 48 a solution to 2y = 24

Answers

Answer:

No

Step-by-step explanation:

2y = 24

y = 24/2

y = 12

so the answer is incorrect

Answer:

False

Step-by-step explanation:

The correct answer is 12

Which expressions are equal to 9/41. If u answer I’ll give you best brainliest

Answers

Option a: Sin F equal to [tex]\frac{9}{41}[/tex]

Option e: Cos G equal to [tex]\frac{9}{41}[/tex]

Explanation:

Option a : Sin F

Let us determine the value of Sin F from the right triangle.

The formula for Sin F is [tex]\sin F=\frac{o p p}{h y p}[/tex]

Thus, substituting the values, we get,

[tex]\begin{aligned}\sin F &=\frac{o p p}{h y p} \\&=\frac{H G}{F G} \\&=\frac{9}{41}\end{aligned}[/tex]

Hence, [tex]\begin{aligned}\sin F &=\frac{9}{41}\end{aligned}[/tex] which is equal to [tex]\frac{9}{41}[/tex]

Hence, Option a is the correct answer.

Option b : Cos F

The formula to determine the value of Cos F is [tex]\cos F=\frac{a d j}{h y p}[/tex]

Thus, substituting the values, we get,

[tex]\begin{aligned}\cos F &=\frac{a d j}{h y p} \\&=\frac{F H}{F G} \\&=\frac{40}{41}\end{aligned}[/tex]

Hence, [tex]\begin{aligned}\cos F &=\frac{40}{41}\end{aligned}[/tex] which is not equal to [tex]\frac{9}{41}[/tex]

Hence, Option b is not the correct answer.

Option c: tan F

The formula to determine the value of tan F is [tex]\tan F=\frac{o p p}{a d j}[/tex]

Thus, substituting the values, we get,

[tex]\begin{aligned}\tan F &=\frac{o p p}{a d j} \\&=\frac{F H}{H G} \\&=\frac{9}{40}\end{aligned}[/tex]

Hence, [tex]\begin{aligned}\tan F &=\frac{9}{40}\end{aligned}[/tex] which is not equal to [tex]\frac{9}{41}[/tex]

Hence, Option c is not the correct answer.

Option d : Sin G

The formula to determine the value of Sin G is [tex]\sin G=\frac{o p p}{h y p}[/tex]

Thus, substituting the values, we get,

[tex]\begin{aligned}\sin G &=\frac{o p p}{h y p} \\&=\frac{FH }{F G} \\&=\frac{40}{41}\end{aligned}[/tex]

Hence, [tex]\begin{aligned}\sin G &=\frac{40}{41}\end{aligned}[/tex] which is not equal to [tex]\frac{9}{41}[/tex]

Hence, Option d is not the correct answer.

Option e : Cos G

The formula to determine the value of Cos G is [tex]\cos G=\frac{a d j}{h y p}[/tex]

Thus, substituting the values, we get,

[tex]\begin{aligned}\cos G &=\frac{a d j}{h y p} \\&=\frac{HG}{F G} \\&=\frac{9}{41}\end{aligned}[/tex]

Hence, [tex]\begin{aligned}\cos F &=\frac{40}{41}\end{aligned}[/tex] which is equal to [tex]\frac{9}{41}[/tex]

Hence, Option e is the correct answer.

Option f : tan G

The formula to determine the value of tan G is [tex]\tan G=\frac{o p p}{a d j}[/tex]

Thus, substituting the values, we get,

[tex]\begin{aligned}\tan G &=\frac{o p p}{a d j} \\&=\frac{F H}{H G} \\&=\frac{40}{9}\end{aligned}[/tex]

Hence, [tex]\begin{aligned}\tan G &=\frac{40}{9}\end{aligned}[/tex] which is not equal to [tex]\frac{9}{41}[/tex]

Hence, Option f is not the correct answer.

Thus, the expression which is equal to [tex]\frac{9}{41}[/tex] is Sin F and Cos G

HELP PLEASE QUICK!!!

Answers

Answer

-6 -12

Step-by-step explanation:

What is the additive inverse of 6x^2+x-2

Answers

Answer:

https://brainly.com/question/11963602

Step-by-step explanation:

Write the expression 4/5 (x + 1) in standard form

Answers

multiply 4/5 ×1=4/1=4

4+1=5

Answer:

Step-by-step explanation:

[tex]\frac{4}{5}x+\frac{4}{5}[/tex]

Go math book unit 5 page 310 answer key

Answers

Step-by-step explanation:310 x 5=1550

There are 142 laptops and desktop computers in a lab. There are 6 more laptops than desktops. What is the total number of laptops in the lab

Answers

Answer:

77 laptops and 65 desktops

Step-by-step explanation:

142/2=71

71+6=77

71-6+65

Answer:

74 Labtops

Step-by-step explanation:

you first have to subtract 6 from 142

142-6= 136

divide 136 by two.... for the labtops and the computers.

136 ÷ 2 = 68

68 is the number of desktops...to find the number of labtops you just need to add 6 again.

68 + 6 = 74 Labtops

To check your answer you can just add

74+68 and if it equals to what you started with then that's your answer

74 + 68 = 142

Jarret walks his puppy outside every day for 30 minutes. Angela walked her puppy every day for 90 minutes. Find the number of minutes that each puppy was walked for 1, 2, 3, and 4 days. Then graph the results as ordered pairs. How many more minutes does Angela spend walking her puppy over 2 days compared to Jarret walking his puppy over 2 days?

Answers

Answer:

Read the answers below, including the graph.

Step-by-step explanation:

1. Let's find the number of minutes that each puppy was walked for 1, 2, 3, and 4 days.

                        Day 1    Day 2    Day 3    Day 4

Angela               90        180        270         360

Jarret                 30          60          90          120

Ordered pairs for Angela's puppy: (1,90); (2,180); (3,270); (4,360)

Ordered pairs for Jarret's puppy: (1,30); (2,60); (3,90); (4,120)

2. How many more minutes does Angela spend walking her puppy over 2 days compared to Jarret walking his puppy over 2 days?

180 - 60 = 120

Angela spend walking her puppy 120 more minutes over 2 days compared to Jarret

what is the perimeter of a football field 31 ft. by 20ft.?

Answers

Answer:102

Step-by-step explanation:you do 31+31=62 then 20+20=40 then 62+40=102

Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27\pi27π27, pi cm^3

3

cubed of melted purple liquid. The radius of the cone is 333 cm.

Answers

Question:

Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27\pi27π27, pi cm^3 3 start superscript, 3, end superscript of melted purple liquid. The radius of the cone is 333 cm. What is the height of the cone?

Answer:

The height of the cone is [tex]9 \ cm[/tex]

Explanation:

It is given that the radius of the cone is [tex]3 \ cm[/tex]

The volume of the cone is [tex]27\pi[/tex]

The height of the cone can be determine using the formula,  

[tex]$V=\frac{1}{3} \pi r^{2} h$[/tex]

Substituting the values [tex]V=27 \pi[/tex] and [tex]r=3[/tex], we get,

[tex]$27 \pi=\frac{1}{3} \pi(3)^{2} h$[/tex]

Multiplying both sides by 3, we have,

[tex]$81 \pi= 9\pi h$[/tex]

Dividing both sides by [tex]$9 \pi$[/tex], we have,

[tex]9=h[/tex]

Thus, the height of the cone is [tex]9 \ cm[/tex]

9 ten thousands scientific notation

Answers

Answer:

0.0009) is 9x10^-4

Step-by-step explanation:

PLEASE HELP WITH THESE TWO QUESTIONSSS 1. Which value is equivalent to sin20∘?


2. What is the measurement of PQ?

Answers

Answer:

a) [tex]\cos(70\degree)[/tex]

b) 12.72 units

Step-by-step explanation:

Recall that the sine and cosine are completed functions.

This means that:  [tex]\sin(x)=\cos(90-x)[/tex]

[tex]\sin(20\degree)=\cos(90-20)[/tex]

[tex]\sin(20\degree)=\cos(70\degree)[/tex]

Recall that: sine ratio is opposite/hypotenuse

[tex]\sin 58=\frac{|PQ|}{15}[/tex]

This implies that:

[tex]|PQ|=15\sin 58[/tex]

[tex]|PQ|=15(0.848)[/tex]

[tex]|PQ|=12.72[/tex]

Ivanka has a ribbon that is 4.5 inches long. Michal has a ribbon that is 3 1/10 times the length of ivanka’s ribbon. How long is michal’s ribbon? Express the answer to the nearest hundredth

Answers

Answer:

6.30

Step-by-step explanation:

Ivanka’s ribbon = 4.5 inches long

Michal’s ribbon is 3 1/2 times ivanka’s

Therefore,

Michal’s = 3 1/2 x 4.5

= 7/5 x 4.5

= 31.5/5

= 6.3 = 6.30 to the nearest hundredth

nanci has a large fish tank that contains fish. The ratio of orange fish to black fish is 5:8. If nanci has a total of 20 orange fish, then how many black fish are inn the tank?

Answers

There are 32 black fish in the tank

Step-by-step explanation:

Nanci has a large fish tank that contains fish

The ratio of orange fish to black fish is 5 : 8Nanci has a total of 20 orange fish

We need to find how many black fish in the tank

∵ The ratio between the orange fish to the black fish is 5 : 8

∵ She has 20 orange fish

By using the ratio method

→  orange  :  black

→  5            :  8

→  20          :  x

By using cross multiplication

∵ 5 × x = 20 × 8

∴ 5 x = 160

- Divide both sides by 5

∴ x = 32

∵ x represents the number of the black fish

∴ The number of the black fish is 32

There are 32 black fish in the tank

Learn more:

You can learn more about the ratio in brainly.com/question/11286417

#LearnwithBrainly

Part B
Solve for w, b, and r using the proportions from part A. Show your work.

Answers

Answer:

w: 100w = 80 x 35 = 2800/100 = 28  strands in one pom pom

b: 100b = 80 x 25= 2000/100 = 20   strands in one pom pom

r: 100r = 40 x 80 = 3200/100 = 32  strands in one pom pom

Step-by-step explanation:

Answer:

Step-by-step explanation:

4/6 + 1/3 solve this plez

Answers

the answer is one i believe. hope this isn't too late

Yo sup??

[tex]4/6=2*2/2*3\\=2/3\\\\4/6+1/3\\=2/3+1/3\\=2+1/3\\=3/3\\=1\\[/tex]

Hope this helps

3h - j when h = 8 and j = 11

Answers

Answer#
13
Explanation#
Multiply 3 by 8 and, then - it with 11
3(8)-(11)=13
3X8=24
24-11=13

if the area of a square is 64 square centimeters, what's the length of you side?



PLEASE HELP!!!

Answers

Answer:

16

Step-by-step explanation:

64÷4=16

Answer:

the answer would be 8

Step-by-step explanation:

64 is the area squared so you need to find the square root of 64 because that would be the opposite.

Hugo and Koby are measuring the heights of plants in biology class.

Use the drop-down menus to complete the statements about the measured heights and the actual heights of the plants.

Answers

The answers are shorter, higher, 2cm, 15cm, 20% and 15%.

Step-by-step explanation:

Step 1; From the given data Hugo measured his plant higher than its original height. Hugo measured his plant as 12 cm while it was actually 10 cm. So Hugo's measurement was off by 2cm. Hugo's percent error is given by dividing the difference in values by the actual value.= multiplied by 100.

% error = (difference in values / actual value) × 100

Hugo's % error = (12 - 10)/ 10 × 100 = 2/10 × 100 = 20%.

Step 2; Koby measured his plant lower than his plant's original height. He measured it to be 85 cm while it was 100 cm tall. So Koby's measurement was off by 15cm. The percent error is calculated in the same way.

% error = (difference in values / actual value) × 100

Koby's % error = (100 - 85)/ 100 × 100 = 15/100 × 100 = 15%.

Step 3; Hugo had a percent error of 20% while Koby has a percent error of 15%. So Hugo had a higher percent error of the two.

Answer:

Step-by-step explanation:

This quarter circle has a radius of 7 centimeters. What is the area of this figure? Use 3.14 for pi.
Enter your answer as a decimal in the box. Round your answer to the nearest hundredth.

|_____|cm²

Answers

Answer:

[tex]area \: of \: quarter \: circle \\ = \frac{ \theta}{360 \degree} \times \pi \: {r}^{2} \\ \\ = \frac{90 \degree}{360 \degree} \times 3.14 \times \: {7}^{2} \\ \\ = \frac{1}{4} \times 3.14 \times \: {7}^{2} \\ \\ = \frac{1}{4} \times 3.14 \times \: 49 \\ \\ = 38.465 \: \: {cm}^{2} [/tex]

Answer:

38.47

Step-by-step explanation:

I just took the k12 test and 38.465 is wrong

Angle A and Angle B are supplementary angles. If
m angle A = (2x + 26)° and m angle B = (x + 25)', then find the measure
of Angle B.

Answers

Answer:

12 Degrees

Step-by-step explanation:

angle A and angle B are supplementary angles.

angle A is 14 times as large as angle B.

Let angle A be x and let angle B be y.

then we have x+y=180

 

x=14y

14y+y=180

15y=180

y=12

x=168

Angle A is 168 degrees and angle B is 12 degrees.

m x 12 = 12 x m
What property is this?

Answers

Answer:

[tex]It \: is \: called \: commutative \: property[/tex]

Solve for c.



3abc + b = 5

c =
c = 2 - ab
c = -

Answers

Answer:

c = [tex]\frac{5-b}{3ab}[/tex]

Step-by-step explanation:

Given

3abc + b = 5 ( isolate the term in c by subtracting b from both sides )

3abc = 5 - b ( divide both sides by 3ab )

c = [tex]\frac{5-b}{3ab}[/tex]

Answer: -b-5/3ab

Step-by-step explanation:

3abc + b = 5

3abc + b - b = 5 - b

3abc = 5 - b

3abc / 3ab = (5 - b) / 3ab

c = (5 - b) / 3ab



Triangle KNM is isosceles, where angle N is the vertex.

Isosceles triangle K N M is shown. N L is a perpendicular bisector of angle K N M. Angle K N L is (5 x + 10) degrees and angle L N M is (6 x minus 1) degrees.

What is the measure of angle K?
11º
25º
50º
65º

Answers

Answer:

25°

Step-by-step explanation:

In isosceles triangle KNM, NL is a perpendicular bisector of angle KNM.

This means

[tex]m\angle KNL=m\angle LNM[/tex]

Since

[tex]m\angle KNL=(5x+10)^{\circ}\\ \\m\angle LNM=(6x-1)^{\circ},[/tex]

you have

[tex]5x+10=6x-1\\ \\5x-6x=-1-10\\ \\-x=-11\\ \\x=11[/tex]

No, find the measure of angles KNL and LNM:

[tex]m\angle KNL=(5\cdot 11+10)^{\circ}=65^{\circ}\\ \\m\angle LNM=(6\cdot 11-1)^{\circ}=65^{\circ}[/tex]

and the measure of angle KNM is

[tex]m\angle KNM=m\angle KNL+m\angle LNM=65^{\circ}+65^{\circ}=130^{\circ}[/tex]

Angles adjacent to the base of isosceles triangle are congruent. The sum of the measures of all interior angles is 180°, then

[tex]m\angle K=\dfrac{1}{2}(180^{\circ}-130^{\circ})=25^{\circ}[/tex]

Answer:

25 Degrees

Step-by-step explanation:

f(x) = -2x2 – 7x + 4
What’s the vertex?

Answers

Answer:

( - 7/4, 81/8 )

Step-by-step explanation:

Other Questions
WILL GIVE BRAINLIEST You can draw a quadrilateral with no parallel lines and at least one right angle. True/ False Solve, graph, and give interval notation for the compound inequality:2x 4 > 6 AND 3(x + 2) 18 Read the excerpt from "Flowers for Algernon."That crazy TV kept up all night. How can I sleep with something yelling crazy things all night in my ears. And the nuttypictures. Wow. I don't know what it says when Im up so how am I going to know when Im sleeping.How does Charlie's opinion of the doctors' tests change from the beginning of the story?He used to think the tests were easy, now he thinks they are hard.He used to understand how the sts worked; now he doesn'tHe used to want to do well on the tests, now he is frustrated by them.He used to think the tests were meaningless now he knows they aren't Which factor had the greatest influence on the growth of ranching in Texas?The cattle breeds from Texas avoided carrying the deadly tick that killed otherbreeds.High demand for Texas cattle in the north offered the opportunity for largeprofits.Texas ranchers were welcomed in Missouri railroad towns where cattle wereshipped east.Texas cattle could be shipped around the world from ports on the Gulf ofMexico Which is an example of physical weathering?(1 point)acid rain breaking down compounds inrock statuesrock breaking apart when it falls from acliffoxygen interacting with minerals in rockbits of iron in rock rusting when exposedto oxygen and water in How does the setting and character development in a passage work together? PLEASE HELP ME FAST. WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER The following data set is graphed on a coordinate plane: (10,45), (25,70), (46,105). If the y-intecept of the line of best fit is at 28.5 ,what would be the most reasonable slope of line: 1/3, 5/3, or -4/3? Show/explain how you know. The st. Lawrence is in the epicenter of..... a. THE GPD b. winter sports c. fishing d. trade between the US and canada this is how dora subtracts 73-26. 73-3=70. 70-?=50. ?-?=? fill in the blanks to solve The perimeter of a rhombus is 64 and one of its angles has measure 120. Find the lengths of the diagonals. Whenever dry nitrogen from a portable cylinder is used in service and installation practice, what item is of most importance in consideration of safety? PLEASE ANSWER!! I WILL GIVE BRANLIEST!!!A wealthy businessman is campaigning for state governor. During a debate he states, "I will use the leadership and financial skills I acquired as a successful businessman to restructure the state system, eliminating waste and inefficiency." Which of the following is it most important for voters to do in evaluating these statements? Review his record in business. Agree with his position on key issues. Analyze his lifestyle and spending. Examine his background and family. PLEASE HELP I NEED TO PASS THIS TEST!!! (first actual answer gets brainliest) Iliana rotated trapezoid WXYZ 180 about the origin.*graph below*What is the correct set of image points for trapezoid WXYZ? A segment is dilated, and the resulting segment is shorter than the original.Which of the following options could be the scale factor of the dilation?Select all that apply.3/8151/5 A landscaping company is putting small stones around a circular fish pond with a diameter of 5.5 yards. If each bag of stones fills a distance of 4 yards, how many bags do they need Question 3 (1 point)a nonconformity is a "hiatus" in time between rock layers. This is usually shown by uneven meeting point between 2 layers. Why does thisoccur?igneous intrusionweathering and erosion of the old layerlithification of a new layerheat and pressure on the old layer Increasing muscle mass and decreasing fat content in your body can increase ones use of energy. Why is this? When Alice spends the day with the babysitter, there is a 0.6 probability that she turns on the TV and watches a show. Her little sister Betty cannot turn the TV on by herself. But once the TV is on, Betty watches with probability 0.8. Tomorrow the girls spend the day with the babysitter.a) What is the probability that both Alice and Betty watch TV tomorrow?b) What is the probability that Betty watches TV tomorrow?c) What is the probability that only Alice watches TV tomorrow? What would happen of scientific knowledge was not debated and confirmed by scientist? The XO Group Inc. conducted a survey of 13,000 brides and grooms married in the United States and found that the average cost of a wedding is $29,858 (XO Group website, January 5, 2015). Assume that the cost of a wedding is normally distributed with a mean of $29,858 and a standard deviation of $5600.a. What is the probability that a wedding costs less than $20,000 (to 4 decimals)?b. What is the probability that a wedding costs between $20,000 and $30,000 (to 4 decimals)?c. For a wedding to be among the 5% most expensive, how much would it have to cost (to the nearest whole number)?