In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 23% of your total grade, each major test is worth 25%, and the final exam is worth 27%. Compute the weighted average for the following scores: 74 on the lab, 69on the first major test, 62 on the second major test, and 85 on the final exam. (Enter your answer to one decimal place.)

Answers

Answer 1

Answer:

72.7 is the weighted average score

Step-by-step explanation:

The weighted average score

= score of lab * % share of total grade + score of first major test  * % share of total grade + score of second major test  * % share of total grade + Score of the final exam  * % share of total grade

Substituting the given values, we get -

0.23 * 74 + 0.25 * 69 + 0.25 * 62 + 0.27 * 85

= 72.7


Related Questions

Suppose the true proportion of voters in the county who support a restaurant tax is 0.54. Consider the sampling distribution for the proportion of supporters with sample size n = 168.
What is the mean of this distribution?
What is the standard error of this distribution?

Answers

Answer:

The correct answer is:

(a) 0.54

(b) 0.0385

Step-by-step explanation:

Given:

Restaurant tax,

p = 0.54

Sample size,

n = 168

Now,

(a)

The mean will be:

⇒ μ [tex]\hat{p}= p[/tex]

         [tex]=0.54[/tex]

(b)

The standard error will be:

[tex]\sigma \hat{p}[/tex] = [tex]\sqrt{[\frac{p(1-p)}{n} ]}[/tex]

    = [tex]\sqrt{[\frac{(0.54\times 0.46)}{168} ]}[/tex]

    = [tex]\sqrt{[\frac{(0.2484)}{168} ]}[/tex]

    = [tex]0.0385[/tex]

Admission prices for a concert are $19 for adults and $11 for students. The concert will not be booked unless total ticket sales are at least $4500. Write the inequality that
expresses this information. (Let the x refer to the number of adult tickets and the y refer to the number of student tickets.)

Answers

Answer:  [tex]19x+11y \ge 4500[/tex]

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

Explanation:

x = number of adults

y = number of students

The expression 19x represents the money from all the adults while 11y represents the money from all the students (since we get $19 per adult and $11 per student).

In total, the money collected is 19x+11y dollars.

We want this total to be $4500 or larger.

So that's how we get the final answer of [tex]19x+11y \ge 4500[/tex]

A surveyor is estimating the distance across a river. The actual distance is . The surveyor's estimate is . Find the absolute error and the percent error of the surveyor's estimate. If necessary, round your answers to the nearest tenth.

Answers

Question:

A surveyor is estimating the distance across a river. The actual distance is 284.5 m. The surveyor's estimate is 300 m. Find the absolute error and the percent error of the surveyor's estimate. If necessary, round your answers to the nearest tenth.

Answer:

(i) Absolute error = 15.5m

(ii) Percent error = 5.5%

Step-by-step explanation:

Given:

Actual measurement of the distance = 284.5 m

Estimated measurement of the distance by the surveyor = 300 m

(i) The absolute error is the magnitude of the difference between the estimated value measured by the surveyor and the actual value of the distance across the river.

i.e

Absolute error = | estimated value - actual value |

Absolute error = | 300m - 284.5m | = 15.5m

(ii) The percent error (% error) is given by the ratio of the absolute error to the actual value then multiplied by 100%. i.e

% error = [tex]\frac{absoluteError}{actualValue}[/tex] x 100%

% error = [tex]\frac{15.5}{284.5}[/tex] x 100%

% error = 0.05448 x 100%

% error = 5.448%

% error = 5.5%  [to the nearest tenth]

If the sum of the interior angle of a polygon is 2700 how many sides does the polygon have??

Answers

17 side how many sides does a polygon have if the sum of its angle measures is 2700. So there are 17 sides. Answer
Answer:  17 sides

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

Work Shown:

S = sum of all interior angles of a polygon

S = 180(n-2)

2700 = 180(n-2)

180(n-2) = 2700

n-2 = 2700/180

n-2 = 15

n = 15+2

n = 17

There are 17 sides to this polygon.

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

Extra info (optional section):

We call this a 17-gon. Simply start with "n-gon" and replace n with 17.

You could also call it a heptadecagon

hepta = 7

deca = 10

so heptadeca means 17. Personally, I prefer 17-gon as the better name since it's easier to remember.

X- 2y = 3 5x + 3y = 2 The lines whose equations are shown intersect at which point? O (1, -1),(-1,1),(0'3/2)​

Answers

The answer is (1,-1).

PLEASEEEE HELP QUICKKKK

Answers

Given:

Line A goes through (0,y) and (-2,0).

Line B goes through (1,2) and (3,10).

To find:

The value of y for which the system of given linear equation (equation of line A and line B) has no solutions.

Solution:

Two linear equation has no solutions if they are parallel line.

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We know that the slopes of two parallel lines are the same.

So, the given system of given linear equation has no solutions if

Slope of line A = Slope of line B

[tex]\dfrac{0-y}{-2-0}=\dfrac{10-2}{3-1}[/tex]

[tex]\dfrac{-y}{-2}=\dfrac{8}{2}[/tex]

[tex]\dfrac{y}{2}=4[/tex]

Multiply both sides by 2.

[tex]\dfrac{y}{2}\times 2=4\times 2[/tex]

[tex]y=8[/tex]

Therefore, the required value of y is 8.

Ik desperate please help the question is:

how many times more people will there be in the town after 15 years than after 10 years??? I need help ASAP!??!?!?!?!? 20 points?!?!?!!
pleaseeeee​

Answers

Answer:

good point I don't know that either

A triangle has sides measuring 2 inches and 7 inches. If x represents the
length in inches of the third side, which inequality gives the range of possible
values for x?
O A. 5sxs 9
O B. 2 sxs7
O C. 2 OD. 5

Answers

Answer is

5 gives the range of possible values for x.

Calculate the sample standard deviation and sample variance for the following frequency distribution of hourly wages for a sample of pharmacy assistants.

Class Frequency
8.26 20
10.01-11.75 38
11.76 36
13.51-15.25 25
15.26-17.00 27

Sample Variance: ___________
Sample Standard Deviation: _________

Answers

Answer:

(a) The sample variance is 16.51

(a) The sample standard deviation is 4.06

Step-by-step explanation:

Given

[tex]\begin{array}{cc}{Class} & {Frequency} & 8.26 - 10.00 & 20 &10.01-11.75 & 38 &11.76 - 13.50& 36 & 13.51-15.25 &25&15.26-17.00 &27 &\ \end{array}[/tex]

Solving (a); The sample variance.

First, calculate the class midpoints.

This is the mean of the intervals.

i.e.

[tex]x_1 = \frac{8.26+10.00}{2} = \frac{18.26}{2} = 9.13[/tex]

[tex]x_2 = \frac{10.01+11.75}{2} = \frac{21.76}{2} = 10.88[/tex]

[tex]x_3 = \frac{11.76+13.50}{2} = \frac{25.26}{2} = 12.63[/tex]

[tex]x_4 = \frac{13.51+15.25}{2} = \frac{28.76}{2} = 14.38[/tex]

[tex]x_5 = \frac{15.26+17.00}{2} = \frac{32.26}{2} = 16.13[/tex]

So, the table becomes:

[tex]\begin{array}{ccc}{Class} & {Frequency} & {x} & 8.26 - 10.00 & 20&9.13 &10.01-11.75 & 38 &10.88&11.76 - 13.50& 36 &12.63& 13.51-15.25 &25&14.38&15.26-17.00 &27 &16.13\ \end{array}[/tex]

Next, calculate the mean

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

[tex]\bar x = \frac{20*9.13 + 38 * 10.88+36*12.63+25*14.38+27*16.13}{20+38+36+25+27}[/tex]

[tex]\bar x = \frac{1845.73}{146}[/tex]

[tex]\bar x = 12.64[/tex]

Next, the sample variance is:

[tex]\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f - 1}[/tex]

So, we have:

[tex]\sigma^2 = \frac{20*(9.13-12.63)^2 + 38 * (10.88-12.63)^2 +...........+27 * (16.13 -12.63)^2}{20+38+36+25+27-1}[/tex]

[tex]\sigma^2 = \frac{2393.6875}{145}[/tex]

[tex]\sigma^2 = 16.51[/tex]

The sample standard deviation is:

[tex]\sigma = \sqrt{\sigma^2}[/tex]

[tex]\sigma = \sqrt{16.51}[/tex]

[tex]\sigma = 4.06[/tex]

if you are just given the two points it is the same formula. Find the midpoint between the points (4,−5) and (−4,5).

Answers

Answer:

[tex]M = (0,0)[/tex]

Step-by-step explanation:

Given

[tex](4,-5)[/tex] and [tex](-4,5)[/tex]

Required

The midpoint (M)

This is calculated as:

[tex]M = \frac{1}{2}(x_1 + x_2,y_1+y_2)[/tex]

So, we have:

[tex]M = \frac{1}{2}(4-4,-5+5)[/tex]

[tex]M = \frac{1}{2}(0,0)[/tex]

[tex]M = (0,0)[/tex]

the size of an interior angle of a regular polygon is 3x. It's exterior is (x- 20)°. Find number if the sides of the polygon.​

Answers

Answer: 12

Step-by-step explanation: Since the angles are supplements, 3x + x - 20 = 180. Solving this, we find that x = 50, and 3x = 150. Since dodecagons have interior angles of 150 degrees, the answer is 12 sides.

Answer:

Step-by-step explanation:

Since the angles are supplements, 3x + x - 20 = 180. Solving this, we find that x = 50, and 3x = 150. Since dodecagons have interior angles of 150 degrees, the answer is 12 sides.

Brooke decided to ride her bike from her home to visit her friend Adam. Two miles away from home, her bike got a flat tire and she had to walk the remaining four miles to Adam's home. She could repair the tire and had to walk all the way back home. How many more miles did Brooke walk than she rode.

Answers

Answer:

8 miles

Step-by-step explanation:

I'm going to assume the question said that she "couldn't" repair the tire and was forced to walk back home, that makes more sense.

With that in mind:

She rode her bike 2 miles.

She walked 4 miles on the way there, and 6 miles on the way back.

You can deduce that it was a 6 mile walk back because of the 2 mile bike ride, then the 4 mile walk that it took to get there.

All in all that rounds out to 10 mile walking, and 2 mile biking. That is 8 miles more walking than biking.

Find the volume and surface area of the rectangular solid. The length is 4 meters, the width is 6 meters, and the height is 3 meters.

Answers

Answer:

Volume = h * w * l (height, width, length)

Volume = 4* 6 * 3

Volume = 72 cube meters

Surface area is finding the are of every 2D plane on the solid.

2(w * h) + 2(l*h) + 2(w * l)

Surface are = 108 square meters

Equilateral triangle L N M is shown.
The sides of an equilateral triangle are 8 units long. What is the length of the altitude of the triangle?

5 StartRoot 2 EndRoot units
4 StartRoot 3 EndRoot units
10 StartRoot 2 EndRoot units
16 StartRoot 5 EndRoot units

Answers

Answer:

4 StartRoot 3 EndRoot units

Hope this answer is right!!

Step-by-step explanation:

Since AD is perpendicular to BC, so ΔABD will be aright-angled triangle. Thus, the length of the altitude is 4√3 units.

The length of the altitude of the equilateral triangle is 4√3  units.

The given parameters;

Length of a side of the equilateral triangle, L = 8 units

The half length of the base of the triangle is calculated as follow;

[tex]x = \frac{8 \ units}{2} \\\\x = 4 \ units[/tex]

The height of the triangle is calculated by applying Pythagoras theorem as follows;

[tex]h^2 = L^2 - x^2\\\\h = \sqrt{(8^2) - (4^2)} \\\\h = \sqrt{48} \\\\h = \sqrt{16 \times 3} \\\\h = 4\sqrt{3} \ \ units[/tex]

Thus, the length of the altitude of the equilateral triangle is 4√3  units.

Learn more about equilateral triangle here: https://brainly.com/question/15294703

if y equal to-1 calculate the value of the expression​

Answers

Answer:

thiếu giữ liệu không thể trả lời được

Step-by-step explanation:

Can someone help please

Answers

Answer:

2x^2 + 4

Step-by-step explanation:

f(g(x)) just means to first solved g(x) and put the solution into f(x).

Therefore, it becomes f(x)=(10x^2+5)/5 + 3, and you can simplify that into

2x^2 + 4.

what is a line passing through the points (1, -1) and (9, 3) in equation form?

Answers

Answer:

[tex]x-2y=3[/tex]

Step-by-step explanation:

[tex]We\ are\ given,\\Line\ passes\ through\ the\ points\ (1,-1) and (9,3). Hence,\ this\ means\ that\ the\\ points\ are\ indeed\ solutions\ of\ the\ equation,\ which\ represents\ the\ line.\\Hence,\\We\ know\ that,\\The\ equation\ of\ a\ line\ (Point-Slope)\ is\ given\ by:\\y-y_1=m(x-x_1),\ where\ m\ is\ the\ slope\ of\ the\ graph.[/tex]

[tex]So\ first,\\Lets\ find\ the\ Slope\ of\ the\ Graph.\\Slope(m)=\frac{Rise}{Run}=\frac{y_2-y_1}{x_2-x_1}\\Hence,\\Here,\\Considering\ (1,-1)\ as\ the\ First\ Point\ and\ (9,3)\ as\ the\ Second\ Point,\ we\ have:x_1=1,x_2=9\ and\ y_1= -1, y_2=3\\Plugging\ the\ values\ in\ the\ Equation\ for\ the\ Slope,\ we\ have:\\[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{3-(-1)}{9-1}=\frac{3+1}{9-1}= \frac{4}{8}=\frac{1}{2}\\Hence,\\Coming\ back\ to\ our\ Point-Slope\ Formula\ for\ the\ equation:\\\ We\ already\ have:\\y-y_1=m(x-x_1)\\Substituting\ m=\frac{1}{2} , x_1=1,\ y_1=-1,\ we\ have: \\y+1=\frac{1}{2}(x-1)\\\therefore 2(y+1)=x-1\\\therefore 2y+2=x-1\\\therefore 2y-x=-3\\Multiplying\ with\ (-1)\ on\ both\ sides:\\\therefore x-2y=3\\Hence,\\x-2y=3,\ is\ our\ desired\ equation.[/tex]

Milauskasville Middle School's Crazy Hair Club sold tickets to it's "Hair Today, Gone Tomorrow" talent show. A total of 55 tickets were sold in the amount of $176.50. If adult tickets cost $3.75 and student tickets cost $2.00, how many adult tickets and student tickets were sold?​

Answers

Answer:

Adult ticket = 38

Student ticket = 17

Step-by-step explanation:

Let :

Adult ticket = x

Student ticket = y

x + y = 55 - - - - (1)

Cost per x = 3.75

Cost per y = 2

3.75x + 2y = 176.50 - - - (2)

From (1):

x = 55 - y

Put in (2)

3.75(55 - y) + 2y = 176.50

206.25 - 3.75y + 2y = 176.50

-1.75y = - 29.75

y = - 29.75 / - 1.75

y = 17

From :

x = 55 - y

x = 55 - 17

x = 38

The scatter plot below shows what kind of trend?
A positive trend
B no trend
C random trend
D negative trend

Answers

the answer is b no trend

Write a linear function g(x) where g(1) = 4 and g(-3) = -2

Answers

Answer:g(x) = 3/2x + 2 and a half?

Step-by-step explanation: sorry not good at college math, but at least i tried.

Choose all measurements that are equivalent to 45 meters.

a. 450 centimeters
b. 4,500 centimeters
c. 0.045 kilometer
d. 0.45 kilometer
e. 4,500 millimeters

Answers

Answer:

option : b, c

Step-by-step explanation:

1 meter = 100 centimeters

45 meters = 4500 centimeters

1000 meter = 1 kilometer

 [tex]45 \ meters = \ \frac{45}{1000} = 0.045 \ kilometers[/tex]

1 meter = 1000 millimeters

45 meters = 45, 000 millimeters

One wall inside an art studio is used to display paintings with oval frames and rectangular
frames. There are a total of 68 paintings on this display. There are 3 times as many
rectangular frames as there are oval frames in this display. How many oval frames and
rectangular frames are on the display?

Answers

Answer:

Oval frames = 17

Rectangular frames = 51

Step-by-step explanation:

Given that :

Paintings on wall are either oval or rectangular ;

Let :

Oval painting = x

Rectangular painting = y

According to the information given :

x + y = 68 - - (1)

Rectangular frames = 3 times oval frames

y = 3x - - - (2)

Put y = 3x in equation (1)

x + 3x = 68

4x = 68

x = 68/4

x = 17 frames

From :

x + y = 68

17 + y = 68

y = 68 - 17

y = 51

Oval frames = 17

Rectangular frames = 51

Use an appropriate series in (2) in Section 6.1 to find the Maclaurin series of the given function. Write your answer in summation notation. 1 5 x

Answers

Answer:

[tex]e^{\frac{1}{5}x} = \sum\limits^{\infty}_{k=0} \frac{1}{5}^k \cdot \frac{x^k}{k!}[/tex]

Step-by-step explanation:

Poorly formatted question.

The given parameters can be summarized as:

[tex]e^x = \sum\limits^{\infty}_{k=0} \frac{x^k}{k!}[/tex] ----- the series

Required

Determine [tex]e^\frac{1}{5}^x[/tex]

We have:

[tex]e^x = \sum\limits^{\infty}_{k=0} \frac{x^k}{k!}[/tex]

Substitute [tex]\frac{1}{5}x[/tex] for x

[tex]e^{\frac{1}{5}x} = \sum\limits^{\infty}_{k=0} \frac{(\frac{1}{5}x)^k}{k!}[/tex]

Split

[tex]e^{\frac{1}{5}x} = \sum\limits^{\infty}_{k=0} \frac{1}{5}^k \cdot \frac{x^k}{k!}[/tex]

What is the probability that a marble chosen at random is shaded or is labeled with a multiple of 3?

Two-elevenths
Three-elevenths
Five-elevenths
Six-elevenths

Answers

The probability that a marble chosen at random is shaded or is labeled with a multiple of 3 is 6/11.

We have given that options

Two-elevenths

Three-elevenths

Five-elevenths

Six-elevenths

We have to determine the probability that a marble chosen at random is shaded or is labeled with a multiple of 3.

What is the probability?

Probability is an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

Therefore the probability that a marble chosen at random is shaded or is labeled with a multiple of 3 is 6/11.

To learn more about the probability visit:

https://brainly.com/question/25870256

#SPJ2

6/11

Step-by-step explanation:

At 3:15 p.m., Sten began packing snacks to take to the park.

He spent 20 minutes packing snacks for his friends.
He spent 5 minutes loading the snacks into his backpack.
Using the number line, how many minutes does he now have until he leaves for the park at 4:00 p.m.?

Answers

Answer:

20 minutes

Step-by-step explanation:

20 minutes after 3:15 is 3:35, then 5 more minutes is 3:40. Therefore Sten has 20 minutes left until 4pm.

if x represents the number since 1988 what does x=32 represents

Answers

Answer: The year 2020

Explanation:

x is the number of years since 1988

x = 0 represents the year 1988

x = 1 is the year 1988+1 = 1989

x = 2 is the year 1988+2 = 1990

etc

x = 32 is the year 1988+32 = 2020

Convert 7,34 cm to meters​

Answers

Answer:

Value of 7.34 centimeter into meter is 0.0734

Step-by-step explanation:

Given value;

7.34 centimeter

Find:

Value of 7.34 centimeter into meter

Computation:

We know that

⇒ 1 centimeter = 0.01 meter

So,

⇒ 7.34 centimeter = 7.34 x 0.01

⇒ 7.34 centimeter = 7.34 x 1/100

⇒ 7.34 centimeter = 7.34 / 100

⇒ 7.34 centimeter = 0.0734 meter

Value of 7.34 centimeter into meter is 0.0734

Can someone please help me?

Answers

Answer:

use the Desmos graphing calculator.  Type the first one in.  Then type your answer choices in.  See which lines are the same.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Just simplify

Arithmetic or geometric 18,13,8

Answers

Answer:

That is Arithmetic

Step-by-step explanation:

Arithmetic Sequence is described as a list of numbers, in which each new term differs from a preceding term by a constant quantity. Which is -5 in this case.

Hope this helps

Find the volume. Help please it’s due tomorrow

Answers

Answer:

2cm

Step-by-step explanation:

vbjufdxcvhjjkknvxzdhjkbcxdf

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In the data set shown below, what is the value of the quartiles? {42, 43, 44, 44, 48, 49, 50} A. Q1 = 43.5; Q2 = 44; Q3 = 49 B. Q1 = 43; Q2 = 44; Q3 = 48.5 C. Q1 = 43.5; Q2 = 44; Q3 = 48.5 D. Q1 = 43; Q2 = 44; Q3 = 49 The distance in the x-coordinates from A(2, 2) to the center of dilation F(1, 1) is unit(s).The distance in the y-coordinates from A(2, 2) to the center of dilation F(1, 1) is unit(s).The vertex A' of the image is . A Rectangle is formed by placing two identical squares side-by-side the area of the rectangle is two cm. What is the perimeter of one square Which of the following may have influenced neumatic notation?A. Byzantine chant notationB. Muslim chant notationC. Hindu chant notationD. Ancient Roman music John bought 8 birds and 6 pigeons for $2400. If he had bought 1 more pigeon and 2 fewer birds, he would have paid $200 more. What is the cost for 1 love bird and 1 pigeon? A carton of orange juice is 9 centimeters long and 24 centimeters tall. If I drink one-third of the fruit juice, what is the volume of the fruit. Juice left in the carton? Give your answer in liters and milliliters. Steve Jobs described early computers as the most remarkable tool that weve ever come up with... its equivalent of a bicycle for our minds. Would you describe smartphones as bicycles for our minds? Why or why not? i need help plz help me Are the authors in disagreement with some other way of thinking? That is to say, is their a "They say" in their "I say"? Who are "they" and what is Mischel disagreeing with? What is he bifurcating from? And what does he discover in his research? how to write 0.12 repeating as a fractiom 2. Do you agree with the results of Schenck's case? Why or why not?help plzzz The Play It Again Sports chain carries all kinds of sports equipment at much lower prices than the typical sporting goods store. Typically, merchandise sold in the store has little, if any, wear. Being both a place for people to get rid of unwanted equipment and a source for people to buy affordable equipment and a source of new-to-you equipment,what is Play It Again Sports emphasizing? A) geographic lifestyles.B) public relations.C) the family life cycle.D) positioning. Which parts of this excerpt from Jefferson Davis's Inaugural Address suggest that the Confederate States' decision to secede from the Union was motivated by their desirefor freedom? 100 points in three well constructed paragraphs. Be as specificas you can citing the text to support your responses. 3. Twelve Angry MenA. 'Twelve Angry Men depicts the way in which economic, social and cultural factors canhave a significant impact on the process of justice.' Discuss. Describe the aesthetic impact the author intends for this excerpt to have on thereader. Be sure to use specific details from the text to support your answer. Select all of the following substances that can be addicting.cigaretteschewing tobaccolegal drugsillegal drugsalcoholPLZ HELP FOR A TEST Explain why the following is an incorrect IUPAC name. 1,3-Dimethylbutane a. The longest chain is chosen incorrectly. b. The name of substituent is given incorrectly. c. The longest chain is numbered incorrectly. d. Substituents are not listed in alphabetical order. Which of the following shows the solution set of the inequality x 7 -5? can someone help me please Give the algebraic expression by using variables and constant and arithmetic operations: i. Sum of the squares of x and y. ii.Product of "x" and "y" subtracted from 9. Pls fast