The circle graph shows the percentage of numbered tiles in a box. If each numbered tile is equally likely to be pulled from the box, what is the probability of pulling out a tile with a 6 on it? (Hint: Remember that percents are based out of 100% and probability is represented as a fraction of 100%)

Answers

Answer 1

Answer: [tex]\dfrac{1}{5}[/tex]

Step-by-step explanation:

From, the circle graph in the attachment below,

The percentage of portion taken by 6 (dark blue) = 20%  

So, the probability of pulling out a tile with a 6 on it = percentage of portion taken by 6 (dark blue) = 20%     [Probability can also be written as a percentage]

[tex]=\dfrac{20}{100}\\\\=\dfrac{1}{5}[/tex]  [we divide a percentage by 100 to convert it into fraction]

Hence, the probability of pulling out a tile with a 6 on it = [tex]\dfrac{1}{5}[/tex]

The Circle Graph Shows The Percentage Of Numbered Tiles In A Box. If Each Numbered Tile Is Equally Likely

Related Questions

H0:p=0.45 ; Ha:p>0.45
The p-value for this hypothesis test is 0.025.
The level of significance is α=0.05

Select the correct answer below:

a. There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%.
b. There is NOT sufficient evidence to conclude that the proportion of agenda-less meetings isgreater than 45%.
c. There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 55%.
d. There is NOT sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 55%.

Answers

Answer:

Option A is correct

Step-by-step explanation:

From the question we are told that

  The  Null Hypothesis  is  [tex]H_o : p = 0.45[/tex]

   The alternative hypothesis [tex]H_a : p > 0.45[/tex]

   The  level of significance is  [tex]\alpha = 0.05[/tex]

    The  p-value is  [tex]p-value = 0.025[/tex]

Now looking at the given data we see that the the p-value is less than [tex]\alpha[/tex]

Generally when this occurs in a hypothesis test we reject the null hypothesis which mean that the result which we obtain is statistically significant.

Hence the alternative hypothesis is correct, which means that,

  There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%. which is option A

help me pls pls pls​

Answers

Answer:

i think it is E

Step-by-step explanation:

What number is in between 10 and 16?

Answers

Answer:

13

Step-by-step explanation:

10 + 16 = 26

26 divided by 2 = 13

The middle number is 13

we assume you mean the number in the exact middle of the two numbers on a number line, as illustrated below, where X=10 and Y=16. Thus, the number halfway between 10 and 16 is 13

Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your finding to state whether or not the given r represents a significant linear correlation. Use a significance level of 0.05.

r=0.543, n=25

a. Critical values: r = ±0.396, no significant linear correlation
b. Critical values: r = ±0.396, significant linear correlation
c. Critical values: r = ±0.487, significant linear correlation
d. Critical values: r = ±0.487, no significant linear correlation

Answers

Answer:

a. Critical values : r = ±0.396, no significant linear correlation.

Step-by-step explanation:

The critical value is 0.396 and  test statistic is 0.543. The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value Test statistics is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. In the given case test statistics value is greater than critical value then we should accept the null hypothesis.

An angle measures 125.6° less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

The measure of each angle:

152.8°   and     27.2°

Step-by-step explanation:

Supplementary angles sum 180°

then:

a + b = 180°

a - b = 125.6°

then:

a = 180 - b

a = 125.6 + b

180 - b = 125.6 + b

180 - 125.6 = b + b

54.4 = 2b

b = 54.4/2

b = 27.2°

a = 180 - b

a = 180 - 27.2

a = 152.8°

Check:

152.8 + 27.2 = 180°

Answers:

152.8° & 27.2°

Step-by-step explanation:

Let x and y be the measures of each angle.

x + y = 180°

x - y = 125.6°

180 - 125.6 = 54.4

Now we divide 54.4 evenly to get y.

y = 27.2°

To get x, we substitute y into the equation.

x = 27.2 + 125.6

x = 152.8°

To check, we plug these in to see if they equal 180°.

27.2 + 152.8 = 180° ✅

I'm always happy to help :)

Please help. I’ll mark you as brainliest if correct!

Answers

Answer:

CDs: $30,000bonds: $90,000stocks: $50,000

Step-by-step explanation:

You can let c, b, s represent the investments in CDs, bonds, and stocks, respectively.

  c + b + s = 170000 . . . . . . total invested

  0.0325c +0.038b +0.067s = 7745 . . . . . . . annual income

  -c + b = 60000

You can solve this set of equations using any of a number of methods, including on-line calculators, graphing calculators, scientific calculators, Cramer's Rule, substitution, elimination, and more. The solution is ...

  c = 30,000

  b = 90,000

  s = 50,000

Maricopa's Success invested $30,000 in CDs, $90,000 in bonds, and $50,000 in stocks.

Question 14 (5 points)
Which of the following gives the correct intercept points and vertex point for the function f(x) = x2 + 3x - 18?

A. y-intercept: (0,18); vertex point: ( – ; – 20_); xintercepts: (-3, 0) and (6,
0)

B. y-intercept: (0, -18); vertex point: (-1, – 19); x-intercepts: (-3, 0) and (-6,
0)

C. y-intercept: (0, -18); vertex point: ( - 2/3, - 20 1/4); x-intercepts: (3, 0) and (-
6,0)

D. y-intercept: (0, 18); vertex point: (-1, – 19); x-intercepts: (3,0) and (6, 0)

Answers

Answer:

C. y-intercept: (0, -18); vertex point: ( [tex]-\frac{2}{3}[/tex], [tex]-20\frac{1}{4}[/tex]); x-intercepts: (3, 0) and (-

6,0)

Step-by-step explanation:

Hope it helped

Answer:

C. y-intercept: (0, -18); vertex point: ( - 2/3, - 20 1/4); x-intercepts: (3, 0) and (-

6,0)

Step-by-step explanation:

It's a positive parabola, so that means it opens upward. Crossing the x-axis at -6 and 3 it's minimum is -20 and crosses the Y-axis at -18.

Which graph shows the solution to the system of linear inequalities? y ≥ 2x + 1 y ≤ 2x – 2

Answers

The graph which shows the solution to the system of inequalities is attached in the picture below :

Given the inequalities :

y ≥ 2x + 1

y ≤ 2x - 2

From y ≥ 2x + 1 ;

Since the inequality sign is , a solid line is used to draw the straight line graph of  y ≥ 2x + 1

From :

y = mx + c

Where, m = slope ; c = intercept

Hence, a straight line graph with ;

Intercept, c = 1 (where the line crosses the y-intercept)

Slope, m = 2

Consider a point, which isn't on the line ;

Take point (0,0) and use it to test the inequality :

0 ≥ 2(0) + 1

0 ≥ 0 + 1

0 ≥ 1

This is false, hence, the portion of the graph which does not contain (0, 0) is shaded.

From : y ≤ 2x - 2

Since the inequality sign is , a solid line is used to draw the straight line graph of  y ≤ 2x - 2

Graph the line y ≤ 2x - 2, with ;

Intercept, c = - 2

Slope = 2

Consider a point, which isn't on the line ;

Take point (0,0) and use it to test the inequality y ≤ 2x - 2:

0 ≤ 2(0) - 2

0 ≤ 0 - 2

0 ≤ - 2

This is false, hence, the portion of the graph which does not contain (0, 0) is shaded.

Learn more : https://brainly.com/question/19670553

Answer:

Its graph B on edge 2022

Step-by-step explanation:

the petit chef co has 11.7 percent coupon bonds on the market with elven years left to maturtiy. The bonds make annuly payments and have a par value of 1000. If the bonds curtently sell for 1153.60 what is tje ytm

Answers

Answer:

9.40%

Step-by-step explanation:

Given:

Annual coupon rate = 11%

Time left to maturity = 11 years

Par value of bond = 1000

Present value of bond = 1153.60

Required: Find Yeild to Maturity (YTM)

To find the yield to maturity, use the formula below:

YTM = [Annual coupon+(Face value-Present value)/time to maturity]/(Face value+Present value)/2

where annual coupon = 1000 * 11% = 110

Thus,

[tex]YTM = \frac{\frac{110+(1000-1139.59}{9}}{\frac{(1000+1139.59)}{2}}[/tex]

YTM = 9.40%

Therefore the approximate YTM is 9.40%

In a clinical​ trial, out of patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that ​% of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than ​% of this​ drug's users experience flulike symptoms as a side effect at the level of​ significance?

Answers

Answer:

Step-by-step explanation:

Hello!

Out of 846 patients taking a prescription drug daily, 18 complained of flulike symptoms.

It is known that the population proportion of patients that take the drug of the competition and complain of flulike is 1.8%

Be the variable of interest:

X: number of patients that complained of flulike symptoms after taking the prescription drug, out of 846.

sample proportion p'= 18/846= 0.02

You have to test if the population proportion of patients that experienced flulike symptoms as a side effect is greater than 1.8% (p>0.018)

Assuming that the patients for the clinical trial were randomly selected.

The expected value for this  sample is np=846*0.02= 1658 (the expected value of successes is greater than 10) and the sample is less than 10% of the population, you can apply the test for the proportion:

The hypotheses are:

H₀: p ≤ 0.018

H₁: p > 0.018

α: 0.01

[tex]Z= \frac{p'-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]≈N(0;1)

[tex]Z_{H_0}= \frac{0.02-0.018}{\sqrt{\frac{0.018*0.982}{846} } }= 0.437[/tex]

The p-value for this test is  0.331056

The decision rule is

If p-value ≤ α, reject the null hypothesis

If p-value > α, do not reject the null hypothesis

The p-value is greater than α, the decision is to reject the null hypothesis.

So at 1% significance level there is no significant evidence to reject the null hypothesis, you can conclude that the population proportion of patients that took the prescription drug daily and experienced flulike symptoms as a side effect is less or equal to 1.8%

I hope this helps!

Drag the labels to the correct locations

Answers

Answer:

Graph A

So it has two distinct real roots.

Graph B

It has one repeated real root

Graph C

So it has two complex roots.

Graph D

One real root and one complex root

Step-by-step explanation:

For graph A

The value of the roots is x= 1 and x= 3

And the minimum value = -3

It's a positive graph

So it has two distinct real roots.

For graph B

The value of the roots is x = 2 and x= 2

That is x= 2 twice

Has a maximum value of 0

It's an inverse graph

It has one repeated real root

For graph C

It's a positive graph but on the negative of x

Has a minimum value of 1

It didn't touch x at y = 0

And it's root will be negative

So it has two complex roots.

For Graph D

Value of the roots is x= 2 and x= -2

It's a positive graph

Minimum value of -4

One real root and one complex root

Simplify the expression:
2b – 5b + 7 + 3b

Answers

Answer:

7

Step-by-step explanation:

2b - 5b is -3b so it leaves the equation with -3b + 7 + 3b

-3b + 3b cancells out to 0 so it leaves the final answer to 7

Please answer this correctly without making mistakes


What is the correct answer


How far apart are the locksmith and the hotel?

Answers

The correct answer is 45.5 km

Explanation:

The total distance from the locksmith to the hotel, located in the east of the graph is not directly given; however, this distance can be calculated by considering the partial distances given. This includes the distance from the locksmith to the furniture store (18.3 km), and the distance between the furniture and the hotel (27.2) as the total distance = distance from the locksmith to the furniture store + distance from the furniture store to the hotel. Thus, the total distance is 18.3 km + 27.2 km which is equal to 45.5 km.

A transformation of KLM results in K'L'M'. Which transformation maps the pre-image to the image?
a. dilation
b.translation
c. reflection
d. rotation​

Answers

Answer:

a. dilation.

Step-by-step explanation:

In this problem, the triangle has been neither reflected nor rotated. Although you could say the triangle has been translated, translation will preserve the lengths of the legs of the triangle.

Since all the angles are still congruent, we can say that the triangle has been dilated. It has been enlarged.

Hope this helps!

The dilation is a transformation that transfers the pre-image to the final image. The correct answer is A.

What is a transformation?

When a point is relocated from its original place to a new location, it is changed. Different transformations include translation, rotation, reflection, and dilation.

As per the given figure, ΔKLM is transformed into ΔK'L'M'.

Here, the triangle hasn't been reflected or rotated.

Although we cannot claim the triangle has been translated, translation maintains the lengths of the triangle's legs.

We conclude that the triangle has been dilated because all of the angles are still congruent. It has grown in size.

Therefore, dilation is a transformation that transfers the pre-image to the final image.

To learn more about the transformations click here :

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Which of the following is represented by MN ?



A.
Radius of the circle

B.
Diameter of the circle

C.
A chord of the circle

D.
Circumference of the circle

Answers

Answer:

A

Step-by-step explanation:

That is the radius. Since its half of the diameter.

Answer:

A.  Radius of the circle

Step-by-step explanation:

A line segment that has as endpoints the center of a circle and a point on the circle is called a radius.

Answer: A.  Radius of the circle

someone could help me?​

Answers

Answer:

[tex]B= 3.14 * 4^4 = 50.24cm^2\\h = 16cm\\V=B*h=50.24*16=803.84cm^3[/tex]

Step-by-step explanation:

The area of the base is the area of a circle with a radius equal to 4 cm. It means that the area can be calculated as:

[tex]B = 3.14 * r^2\\B= 3.14 * 4^4 = 50.24cm^2[/tex]

The height of the cylinder is shown in the picture, it is equal to 16 cm.

Finally, the volume of the cylinder can be calculated as:

[tex]V = B*h=50.24*16 = 803.84cm^3[/tex]

Where B is the base and h is the height of the cylinder.

[tex]\lim_{x\to \ 4} \frac{x-4}{\sqrt{x}-\sqrt{4} }[/tex] Please answer this one

Answers

Answer:

[tex]\large \boxed{\sf \ \ \lim_{x\to \ 4} \dfrac{x-4}{\sqrt{x}-\sqrt{4} }=4 \ \ }[/tex]

Step-by-step explanation:

Hello,

We need to find the following limit.

[tex]\displaystyle \lim_{x\to \ 4} \dfrac{x-4}{\sqrt{x}-\sqrt{4} }[/tex]

First of all, for any x real number different from 4 and positive, we can write

[tex]\dfrac{x-4}{\sqrt{x}-\sqrt{4}} = \dfrac{(x-4)(\sqrt{x}+\sqrt{4})} {(\sqrt{x}-\sqrt{4})(\sqrt{x}+\sqrt{4})}} ==\dfrac{(x-4)(\sqrt{x}+\sqrt{4})}{x-4}=\sqrt{x}+\sqrt{4}[/tex]

so the limit is

[tex]\sqrt{4}+\sqrt{4}=2+2=4[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

A school has 39 vacancies for teachers.out of which 22 are for English language,21 are for mathematics and 17 are for fine arts.of these vacancies 11 are for both English language and mathematics,8 for mathematics and fine arts and 7 for both English and fine arts.calculate the number of teachers who must be able to teach all subjects and fine arts only

Answers

Answer:

12

Step-by-step explanation:

let

x= no. for English

y= no. for maths

z= no. for fine arts

a= no. for all subjects

x= 22

y= 21

z= 17

x+y+z= 39

x intersect y= 11

y intersect z= 8

x intersect z= 7

(4+a)+ (11-a)+ (7-a)+ (8-a)+ (2+a)+ (2+a)+ a= 39

34+a =39

a= 5

no.of teachers who teaches all & fine art only

= a + (2+a)

= 5+7

= 12

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Answers

Answer: 245 cu. cm.

Step-by-step explanation:

4/7-2/5=20/35-14/35=6/35

42 cm3 represents 6/35 of the total volume

how many 6/35's are in 35/35 ? (the total volume)

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

(5 5/6)*(42)=(35/6)*(42)=35*7=245 cm3 is the total volume

The point (5, -2) is rotated 90° about the origin. Its image is:

Answers

If rotated around the origin clockwise the new point is found at (-2,-5)

explain square roots

Answers

In mathematics, a square root of a number x is a number y such that y2 = x; in other words, a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x. For example, 4 and −4 are square roots of 16 because 42 = (−4)2 = 16.

Answer:A square root of a number is a value that, when multiplied by itself, gives the number. Example: 4 × 4 = 16, so a square root of 16 is 4. Note that (−4) × (−4) = 16 too, so −4 is also a square root of 16. The symbol is √ which always means the positive square root. Example: √36 = 6 (because 6 x 6 = 36)

Does the ordered pair (1,1) satisfy the following system of inequalities? {x−8y≤9−7x+5y<4

Answers

Answer:

YES

Step-by-step explanation:

Substitute x = 1 and y = 1 to the both inequalities:

[tex]x-8y\leq9\\\\1-8(1)\leq9\\1-8\leq9\\-7\leq9\qquad\bold{TRUE}\\==================\\-7x+5y<4\\\\-7(1)+5(1)<4\\-7+5<4\\-2<4\qquad\bold{TRUE}[/tex]

Answer:

(1,1) does satisfy

x - 8y ≤ 9

- 7x + 5y < 4

Step-by-step explanation:

Well, first we need to plug in (1,1) into,

x - 8y ≤ 9

- 7x + 5y < 4

→ 1 - 8(1) ≤ 9

- 7(1) + 5(1) < 4

1 - 8 ≤ 9

-7 + 5 < 4

-7 ≤ 9

-2 < 4

Thus,

(1,1) does satisfy

x - 8y ≤ 9

- 7x + 5y < 4.

Hope this helps :)

Find the valuds to complete the table

Answers

Answer:

Where is the table

Step-by-step explanation:

I cant answer without it

What is the given table?

A certain mixture of paint contains 5 parts white paint for every 4 parts blue paint. If a can of paint contains 75 ounces of white paint, how many ounces of blue paint are in the can?

Answers

Answer:

60 ounces

Step-by-step explanation:

A certain mixture of paint contains 5 parts white paint for every 4 parts blue paint, that is, the white paint (w) to blue paint (b) ratio is 5:4. We can apply this ratio to different units such as ounces. This means that the mixture has 5 ounces of white paint to 4 ounces of blue paint. If a can of paint contains 75 ounces of white paint, the ounces of blue paint in the can are:

75 oz w × (4 oz b/5 oz w) = 60 oz b

What is the y-value in the solution to this system of linear equations?
4x + 5y = -12
-2x + 3y = -16
-4.
-2
оооо
2
5

Answers

Answer:

y = -4

Step-by-step explanation:

4x + 5y = -12 ....eq1

-2x + 3y = -16 ...eq2

From eq1, solve for x:

4x + 5y = -12

4x = -12 - 5y

x = -12 - 5y/4

From eq2, substitute value of x:

-2(-12-5y/4) + 3y = -16

3y - 2 (-5y-12/4) = -16

3y - 2(-5y-12)/4 = -16

12y - 2(-5y - 12) = -16

4*3y - 4*2(-5y-12)/4 = 4*(-16)

12y - 2(-5y-12) = -64

12y + 10y + 24 = -64 (divide both sides by common factor 2)

6y + 5y + 12 = -32

11y = -32 - 12

11y = -44

Divide both sides by 11

11y/11 = -44/11

y = -4

The sum of Jason’s age and his brother’s age is 55. Jason is 7 years younger than his brother. How old is Jason?

Answers

Answer:

Jason is 24 years old

Step-by-step explanation:

Lets say that Jason's age is X, and his brother's age is Y.

We know that X + Y = 55.

We also know that (X + 7) = Y.

This means (X + 7) + Y = 62 (We got the 62 by adding 55 and 7)

Anyway if X+7= Y, and X+7 + Y = 62, then X+7 = 62/2, right?

We divide the 62 by 2 and we get 31.

Alright, so X+7 = 31.

substract both sides by 7.

We get X = 24

Sorry if this seemed longer or more complicated than it should've been, I don't know how to explain it better.

The parabola y= x2 - 4 opens:
O up
O down
O right
O left

Answers

Answer:

it opens up

goes up 4 but doesn't move left or right

In a cinema, there are eight seats in a row. Four of the seats in one row are occupied. What fraction of seats are available in that row?

Answers

Answer:

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

Step-by-step explanation:

Given,

There are 8 seats in a row.

There are 8 seats in a row.4 seats are occupied.

Available seats = 8 - 4 = 4 seats

Fraction of seats available:

[tex] \frac{number \: of \: seats \: available}{total \: number \: of \: seats} [/tex]

[tex] = \frac{4}{8} [/tex]

Reduce the fraction with GCF 4

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

Hope this helps..

Best regards!!

Answer:

Your correct answer is that there are 4 seats available. The fraction version is 1/2

Step-by-step explanation:

Since there are 8 in a row and 4 are taken, subtract 8 by 4.

8 - 4 = 4 seats that are available.

Triangle ABC is congruent with triangle CDA Find the value of the pronumeral x.

Answers

Answer:

x = 25

Step-by-step explanation:

Since the triangles are congruent then corresponding angles are congruent.

That is ∠ D and ∠ B are corresponding angles and congruent, thus

4x - 20 = 2x + 30 ( subtract 2x from both sides )

2x - 20 = 30 ( add 20 to both sides )

2x = 50 ( divide both sides by 2 )

x = 25

A cylindrical can is to be made to hold 50 cm3 of oil. Determine the dimensions of the can that will minimize its surface area. What is the minimum surface area

Answers

Answer:

S(min) = 59,66 cm²

Step-by-step explanation:

The volume of a cylindrical can is:

V(c) = π*x²*h         where   x is radius of the base and h the height

V(c) = 50 cm³

50 =  π*x²*h      (1)

The surface area of the can (Sc) is  Surface area of the base (Sb) plus surface lateral area (Sl)

S(b) =  π*x²  

And  S(l) = 2*π*x*h

Then

S(c) =  π*x²  +  2*π*x*h

And  surface area as a function of x is

From equation (1)

h = 50 /π*x²   and plugging this value in the previous expression

S(x) =  π*x²  +  2*π*x*(50/π*x²)

S(x) =  π*x²  + 100/x

Taking derivatives on both sides of the equation

S´(x) = 2*π*x - 100/x²

S´(x) = 0     means       2*π*x - 100/x² = 0

π*x - 50/x²  = 0

π*x³ - 50  = 0

π*x³  = 50

x³ = 50 / 3,14

x³ = 15,92

x  = 2,51 cm

And  h =  50 / π* (2,51)²

h = 2,53 cm

Then minimum surface area of the can is:

S(min) = 19,78 + 39,88

S(min) = 59,66 cm²

Other Questions
Near the end of Act Two, Nora speaks the following words to Mrs. Linde: "Something glorious is going to happen." Contrary to what some people think, Nora is not going to kill herself; instead, she thinks that something else is going to happen. What is that glorious thing that she thinks is going to happen, and does it happen? Can any kind soul help me Describe Reid Hoffman the founder and creator Linkedln? Calculate mole fraction of ethyleneGlycol in solutioncontaining 20% g C2H6O2 by mass. x2 =16x64 whats there answer? has a margin of safety percentage of 20% based on its actual sales. The break-even point is $759000 and the variable expenses are 60% of sales. Q: Given this information, the actual profit is: Possible interaction with other medications is a risk when choosing a new health product.Please select the best answer from the choices provided.Of The country of Morson has decided to privatize the state-owned cable television company. How can the country help this newly privatized industry succeed PLEASE HELP A hire purchase agreement offers gym equipment, with a marked price$897, for $87 deposit and $46.80 a month payable over 2 years.Calculate :a) the total hire-purchase priceb) the amount ofamount of interest charged Select the best answer for this dialogue.-Doctor: Hola. Sebastin.-Young child Sebastin: Buenas tardes, doctor.-DoctorSebastin?-Young child Sebastin: Estoy mal.-Doctor: Lo sientoA)Cmo est longB)Cmo estsC)Ms o menosD)Bien What is the purpose of a board of directors?O A. To run a corporationO B. To elect stockholdersO C. To hire workersO D. To sell goodsother businesses is lactase exergonic If Andrew has $72 in his wallet, what is the largest number of bags of sugar he can afford? (Each bag of sugar costs $6.33) Complete the following vocabulary exercise related to DNA replication.Match the words in the left-hand column with the appropriate blank in the sentences in the right-hand column.1. During DNA replication, an open section of DNA, in which a DNA polymerase can replicate DNA, is called a_______ .2. After replication is complete, the new DNAs, called_______ , are identical to each other.3. The enzyme that can replicate DNA is called_______ .4. _________are the short sections of DNA that are synthesized on the lagging strand of the replicating DNA.5. The new DNA strand that grows continuously in the 5' to 3' direction is called the________.leading strandokazaki fragmentsreplication forkDNA polymerasedaughter DNA You want to buy a new sweater. The regular price was$48 dollars. The sale price was $34. What was thepercent of discount to the nearest percent? 1EnglishTIME REMAINING58:10The radius of the large sphere is double the radius ofthe small sphere.How many times is the volume of the large sphere thanthe small sphere?O 24608 NEED HELP ASAP!!What is the equation of the line that is parallel to thegiven line and has an x-intercept of -3?O y = x + 3O y = ?X + 2Oy=-3x + 3y=-3x+2 Which expression can be used to find the surface area of the following square pyramid?A 16+16+55+55+8816+16+55+55+8816, plus, 16, plus, 55, plus, 55, plus, 88 (Choice B) B 10+10+55+55+8810+10+55+55+8810, plus, 10, plus, 55, plus, 55, plus, 88 (Choice C) C 8 +8+55+55+888+8+55+55+888, plus, 8, plus, 55, plus, 55, plus, 88 (Choice D) D 16+8816+8816, plus, 88 QUESTION 6 Which of the following is a class A IPv4 address? a. 118.20.210.254 b. 183.16.17.30 c. 215.16.17.30 d. 255.255.0.0 Julie is a girl who is sexually attracted to other girls. She was assigned male at birth and Julie's pronouns are she/her. Which gender does Julie best identify with? cisgender intersex transgender asexual