First, add all the fractions:
1/2 + 1/3 + 1/6 = 3/6 + 2/6 + 1/6 = 6/6 = 1
subtract the result to 1
1-1 = 0
Gretel received 0 (zero)
A coin is tossed and -sided die numbered 1 through is rolled. Find the probability of tossing a and then rolling a number greater than . The probability of tossing a and then rolling a number greater than is nothing.
Answer:
hello your question has some missing parts here is the complete question
A coin is tossed and an eight-sided die numbered 1 through 8 is rolled. Find the probability of tossing tail and then rolling a number greater than 6. The probability of tossing a tail and then rolling a number greater than 6 is? Round to three decimal places as needed
Answer : 0.5, 0.25, 0.125
Step-by-step explanation:
A coin when tossed has only two outcomes which are ( Head or tail )
a)Therefore the probability of tossing a tail = 1/2 = 0.5
A die having eight sides when tossed will have 8 outcomes
B) Therefore the probability of rolling a number greater than 6
p( x > 6) = p(7) + p(8) = 1/8 + 1/8 = 0.25
C) The probability of tossing a tail and then rolling a number greater than 6 is
= p( x > 6 ) * p( tail )
= 0.25 * 0.5 = 0.125
A researcher who is interested in the behavior of chimps believes that temperature is related to aggression in this species of animal. She goes out to her local zoo during a particular weekend and adjusts the temperature of their climate-controlled habitat to 50-degrees, 70-degrees and 90-degrees Fahrenheit over the course of three days, noting the number of aggressive acts she observes at each temperature level.
A) What is the independent variable?
B) What is the dependent variable?
C) Is the dependent variable discrete or continuous?
D) What scale of measurement (nominal, ordinal, interval or ratio) is used to measure the dependent variable? What research method is being used (experimental or observational), and why?
The experimental research conducted by the scientist takes into account the following factors:
a)The change in temperature is the independent variable.
b) The effect of temperature on the chimp's act of aggression is the dependent variable.
c)The dependent variable is continuous.
d)The scale of measurement used to measure the dependent variable is interval.
e) The research method being used here is experimental.
In the above experiment the researcher wants to see the change in the aggression of the chimp when there is a change in temperature in the zoo.
In this experiment there are two variables that are being used, independent and dependent.The independent variable is the change in temperature as it is regulated by the researcher.The dependent variable is the change in the aggressive nature of the chimps, as the change in nature is directly affected by the change in temperature. The dependent variable(mood of the chimp) is continuous, as the value cannot be defined separately.Since the data is not discreet but continuous , the scale of measurement used is interval.The research method being used is experimental , because the researcher is controlling the variable temperature to see the effect of the temperature change on the chimps. So the researcher is directly experimenting on the chimps by changing an external factor. So the experiment is not observational.To learn more about research experiment and variables:
https://brainly.com/question/14501374
#SPJ9
convert 44 oz. to a mixed measure
The number of cups in 44 oz is \(5\frac{1}{2}\) as a mixed measure.
We have,
There are different types of mixed measures, but one common one is the mixed number and fraction form.
To convert 44 oz. to a mixed number and fraction, you need to divide the total amount by the size of each unit in the mixed measure and express the result as a whole number and a fraction.
For example,
If the units are cups and there are 8 oz. in a cup, then:
= 44 oz ÷ 8 oz / cup
= 5.5 cups
So
44 oz. is equivalent to 5 cups and 12 oz.
or
44 oz. = \(5\frac{4}{8}\) cups = 5 1/2 cups
Thus,
The number of cups in 44 oz is \(5\frac{1}{2}\) as a mixed measure.
Learn more about unit conversion here:
https://brainly.com/question/13899873
#SPJ1
Set up an equation for x and solve to the nearest degree
Answer:
Almost equals 28°
Step-by-step explanation:
cos(x)= 12/18
x= cos^-1 (12/18)
So it equals 48.1896°
A person places $1380 in an investment account earning an annual rate of 8.6%,
compounded continuously. Using the formula V = Pent, where Vis the value of the
account int years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 10 years.
Answer:
3261.16
Step-by-step explanation:
r=8.6\%=0.086
r=8.6%=0.086
Move decimal over two places
P=1380
P=1380
Given as the pricipal
t=10
t=10
Given as the time
V=Pe^{rt}
V=Pe
rt
V=1380e^{0.086( 10)}
V=1380e
0.086(10)
Plug in
V=1380e^{0.86}
V=1380e
0.86
Multiply
V=3261.1618\approx 3261.16
V=3261.1618≈3261.16
Use the nun
Se
2+n=8
Which is true?
A.n=4
B.n= 6
C.n=8
D.n= 10
E.n = 16
Answer:
it it B
Step-by-step explanation:
SUSTAINIBILTY COUNTS! ENERGY CHALLENGE WHAT TO DO: COMPARITIVE STUDY OF CONSECUTIVE ELECTRIC BILLS o of post summer break with all calculations.
SUSTAINIBILTY COUNTS! ENERGY CHALLENGE
WHAT TO DO: COMPARITIVE STUDY OF CONSECUTIVE ELECTRIC BILLS HOW TO DO: 1) Examine your electricity bills of pre summer break.
2) List the various electrical appliances used in your home.
3) Find out the power consumption, duration for the device in use.
Do estimate calculation of your bills as per power consumption.
4) Make an energy reduction plan and determine how far you could implement it.
5) Re – examine your electricity bill of post summer break with all calculations.
6) WRITE your reduction plan & change in the bill.
Given statement solution is :-
1) Gather your electricity bills from the period before the summer break.
2) Create a comprehensive list of all the electrical appliances used in your home.
Include major appliances like air conditioners, refrigerators, washing machines, and smaller devices like televisions, computers, and lights.
3) Research or locate the power consumption information for each appliance.
4) Identify areas where energy consumption can be reduced, such as:
Turning off lights when not in use.
Setting air conditioner temperatures at an optimal level.
Using energy-efficient appliances.
5) After the summer break, collect your electricity bill for the corresponding period.
6) Include details about your energy reduction plan, the changes implemented, and the resulting impact on energy consumption and cost.
Provide recommendations for further improvements or adjustments to achieve even greater sustainability.
To conduct a comparative study of consecutive electric bills and analyze the impact of a reduction plan, you can follow the steps below:
Examine your electricity bills of pre-summer break:
Gather your electricity bills from the period before the summer break.
Look for details such as total energy consumption (in kilowatt-hours or kWh), billing period, and the cost per unit of electricity.
List the various electrical appliances used in your home:
Create a comprehensive list of all the electrical appliances used in your home.
Include major appliances like air conditioners, refrigerators, washing machines, and smaller devices like televisions, computers, and lights.
Find out the power consumption and duration for each device in use:
Research or locate the power consumption information for each appliance.
This information is typically provided on the appliance itself or in the user manual.
Note down the power rating of each device in watts (W) or kilowatts (kW).
Estimate the average duration each device is used daily in hours (e.g., 2 hours for a television, 8 hours for a refrigerator).
Calculate the estimated electricity consumption and cost:
Multiply the power rating (in kW) of each device by its average daily usage (in hours) to find the daily energy consumption (in kWh).
Multiply the daily energy consumption by the number of days in the billing period to get the total energy consumption for that period.
Multiply the total energy consumption by the cost per unit of electricity to calculate the estimated cost for each appliance.
Sum up the estimated costs for all appliances to get the total estimated electricity bill.
Make an energy reduction plan and determine implementation:
Identify areas where energy consumption can be reduced, such as:
Turning off lights when not in use.
Setting air conditioner temperatures at an optimal level.
Using energy-efficient appliances.
Unplugging devices when not in use.
Determine the feasibility of implementing these energy reduction measures in your home.
Re-examine your electricity bill of post-summer break:
After the summer break, collect your electricity bill for the corresponding period.
Calculate the actual energy consumption and cost using the same method as in step 4.
Compare the actual post-summer break bill with the estimated pre-summer break bill.
Note any changes in energy consumption and cost, and analyze the effectiveness of your energy reduction plan.
Document your reduction plan and changes in the bill:
Write a report summarizing your findings and observations.
Include details about your energy reduction plan, the changes implemented, and the resulting impact on energy consumption and cost.
Provide recommendations for further improvements or adjustments to achieve even greater sustainability.
By following these steps, you can conduct a comparative study of consecutive electric bills, analyze the effectiveness of your energy reduction plan, and track changes in energy consumption and costs.
For such more questions on Sustainable Energy Bill Study
https://brainly.com/question/3159537
#SPJ8
After the party, a bag of ice weighs 7/8 pound. Before the party, the bag of ice weighed 3 times as much. How many pounds did the bac
party?
Drag the pointer to its correct location on the number line to show the weight of the bag of ice before the party.
3
4
Weight of Bag of Ice Before Party
2
4
Finish Late
The weight before the party could be any positive number
The weight of the bag of ice after the party was 7/8 pounds. So we can set up an equation:
x - weight used at the party = 7/8
We know that the weight used at the party is the weight before the party minus the weight after the party.
So we can substitute 3x for the weight before the party:
3x - (7/8) = weight used at the party
We don't know the exact weight used at the party, but we do know that it was less than or equal to the weight before the party.
So we can set up another inequality:
weight used at the party ≤ 3x
Putting it all together:
3x - (7/8) ≤ 3x
Simplifying:
-(7/8) ≤ 0
To learn more on Inequality click:
https://brainly.com/question/28823603
#SPJ1
Unit rate
Find each unit rate.
1. $140 for 18 ft2
Answer:
$17.50
Step-by-step explanation:
140 divided by 18 equals 17.50, the unit rate is dollars per foot.
Answer:
$7.78 : 1 ft²
Step-by-step explanation:
140 : 18
÷18 ÷18
7 7/9 : 1
or
$7.78 : 1 ft²
What input is NOT allowed for f(x)
4/-X + 1
Answer:
x ≠ 1
Step-by-step explanation:
If 1 is used, this will happen:
f(x) = 4/-(1) + 1
f(x) = 4/-1 + 1
f(x) = 4/0 = Undefined
Benjamin Took a $500 loan from Village Bank to start up his company website he plans on paying it back by paying $75 each month which equation represents the total amount of money he owes the bank y based on the number of months x he has been paying back the loan
geometry need help asap
The value of angle LAF in the intersecting chords is determined as 104⁰.
What is the value of angle LAF?The value of angle LAF is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.
Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.
m∠LAF = ¹/₂ (arc LF + arc YS)
From the diagram, we have arc LF = 160⁰ and YS = 48⁰
m∠LAF = ¹/₂ (160 + 48)
m∠LAF = 104⁰
Thus, the value of angle LAF is calculated by applying intersecting chord theorem.
Learn more about chord angles here: brainly.com/question/23732231
#SPJ1
Sergey is solving 5x2 + 20x – 7 = 0. Which steps could he use to solve the quadratic equation by completing the square? Select three options. 5(x2 + 4x + 4) = –7 + 20 x + 2 = Plus or minus StartRoot StartFraction 27 Over 5 EndFraction EndRoot 5(x2 + 4x) = 7 5(x2 + 4x + 4) = 7 + 20 5(x2 + 4x) = –7
The steps Sergey could use to solve the quadratic equation by completing the square is 5(x2 + 4x) = –7
How to use the completing the square method?We should know that in completing the square method both sides of the equation are made perfect squares.
The given equation is 5x²+20x-7=0
Solving this equation by completing the square method we have
5(x²+4x+4)=-7
This means that (x+2)=±√27/5
Simplifying further we have
5(x²+4x)=7
Then expanding to make ²HS a perfect square we have
5(x²+4x+4)=7+20
This means that 5(x²+4x)=-7
Therefore the step he could use is 5(x²+4x)=-7\
Learn more about completing the square on https://brainly.com/question/4822356
#SPJ1
Three partners A, B, C start a business. B's Capital is four times C's capital
and twice A's capital is equal to thrice B's capital. If the total profit is Tk. 16500
at the end of a year, Find out B's share in it.
Suppose C's capital = x then
B's capital = 4x (Since B's Capital is four times C's capital)
A's capital = 6x ( Since twice A's capital is equal to thrice B's capital)
A : B : C =6x : 4x : x
= 6 : 4 : 1
B's share = 16500×411
= 1500 × 4 = 6000.
What is meant by Capital?
A factory and its equipment, intellectual property like patents, or the financial assets of a company or a person are all examples of things that provide value or benefit to their owners and fall within the wide definition of capital.
While money in and of itself might be considered capital, the term is most frequently used to refer to money that is being used for investments or productive purposes. In general, capital is an essential part of managing firm day-to-day and funding its expansion in the future.
Business capital may be generated via activities or obtained through debt or equity finance. Typical sources of funding are as follows:
individual savings
relatives and friends
Angel backers
financiers for startups (VC)
Corporations
State, municipal, or federal governments
Personal loans
Working or conducting business
getting an IPO to go public
Working capital, equity capital, and debt capital are the three types of capital that firms of all sizes commonly concentrate on when creating budgets. A company in the financial sector names trading capital as the fourth element.
Learn more about Capital visit: https://brainly.com/question/104830
#SPJ1
160 students went on a field trip. Five buses were filled and 15 students traveled in cars. How many students were in each bus?
Each bus had ____ students.
Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
find the gcf of 2³×3² and 2³×3⁴ please no links
Answer:
Step-by-step explanation:
GCF - List out the prime factors that are common to both numbers
2³ * 3²
2³ * 3⁴
GCF = 2³ * 3² = 8 *9 = 72
Please help me! My teacher gave us this and has only taught us about rectangles, not rhombi. My classmates and I are very confused
Step-by-step explanation:
It is important to know that the diagonals of a rhombus are PERPINDICUALR bisectors of each other . Opposite angles are equal and adjacen angles sum to 180 degrees .
Then remember alternate angles are equal and there are 180 degrees inside of a triangle .....then you should be able to solve these...here is the first one
What would be the Total Surface Area for the picture of the Triangular box attached below?
Answer:
Surface area of the box is 3345cm^2
Step-by-step explanation:
First you need to find the surface area of the sides. In order to find the sides you would do 70cm times 15cm to find one of the area of the sides. This would give you that one of the area is 1050cm^2. Since there are three you need to multiply by 3. This means that all the rectangles on the side would have a surface area of 3150cm^2. Then you need to find the area of the triangles. So the Area= Height times (1/2)base. Area= 13cm* times 7.5cm. Therefore the area of the triangle is equal to 97.5cm^2. Since there are two this means that the surface area of the two triangles would be equal to 195cm^2. Then in order to find the total surface area you would need to add the triangles with the rectangles which is equal to 3150cm^2 plus 195cm^2 which totals to 3345cm^2.
Therefore the total surface area for the triangle box is 3345cm^2
Multiply: 4(−5 2/3) Enter your answer as a fraction in simplest form, like this: 42/53
Answer:
The amount that came is \(\frac{-68}{3}\)
Step-by-step explanation:
The computation is shown below:
According to the question, it is mentioned that
Multiply 4 by \(-5\frac{2}{3}\)
First open the equation in a fraction it would be \(\frac{-17}{3}\)
Now multiplied the above fraction by a 4
That gives the result of \(\frac{-68}{3}\)
Hence, the amount that came is \(\frac{-68}{3}\)
We simply multiply the 4 with the given fraction
Thus the above represents the simplest form of the fraction
A cost accountant is developing a regression model to predict the total cost of producing a batch of printed circuit boards as a function of batch size (the number of boards produced in one lot or batch). The independent variable is:
Answer:
"Variable cost" is the appropriate answer.
Step by-step explanation:
Let an equation,
⇒ \(y=a+bx\)
here,
y = Total costa = Fixed costx = Variable costor,
We can say that, "y" is a dependent variable as well as "x" is an independent variable.
Thus the independent variable is Variable cost.
PLEASE HELP QUICKLY(25 points)!!
Match the description with the correct answer.
(questions)
———————
y-intercept -
slope-
domain-
range-
is this graph increasing, decreasing or both-
x-intercept-
———————
(answer choices)
(4,0), (0,4), (-2,0), (0,-2), +2, -4,
input values, increasing, decreasing,
both increasing and decreasing, output values
———————
please help quickly its worth 10.34 points on my test
Answer: In that picture the slope is increasing
Step-by-step explanation: positive rise and positive run (uphill from left to right)
Suppose a triangle has sides a, b, and c, and that a² + b² < c². Let 9 be the
measure of the angle opposite the side of length c. Which of the following
must be true? Check all that apply.
A. The triangle is not a right triangle.
B. cose < 0
C. cose > 0
□ D. a² + b²-c² = 2abcose
SUBMIT
Using trigonometry we know that option (B) "cosθ < 0" is correct.
What is Trigonometry?The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.For a right-angle triangle, the sum of the square of the legs is equal to the hypotenuse side(longest side).
Therefore, for a right triangle
a² + b² = c²For the triangle that has a² + b² > c², it shows it is not a right triangle.
Let θ be the measure of the angle opposite the side of length c.We have to find the statements which are must be true.Cosine law:
c² = a² + b² - 2abcosθSubstitute the value then we get:
c² < c² - 2abcosθSubtracting c² on both sides of the inequality:
c² - c² < c²- c² - 2abcosθ0 < -2abcosθAdding 2abcosθ on both sides then we get:
2abcosθ < -2abcosθ + 2abcosθ = 02abcosθ < 0cosθ < 0cosθ is negative in the second quadrant and third quadrants.
Therefore, using trigonometry we know that option (B) "cosθ < 0" is correct.
To know more about Trigonometry click on the link
brainly.com/question/24349828
#SPJ13
Alex records the running time—the number of minutes a movie lasts from start to finish—of 50 popular movies. The distribution of times, in minutes, is displayed in the histogram below.
A histogram titled Movie running times has time (minutes) on the x-axis and frequency on the y-axis. 80 to 90, 8; 90 to 100, 15; 100 to 110, 13; 110 to 120, 6; 120 to 130, 4; 130 to 140, 2; 140 to 150, 1; 150 to 160, 1.
Which of the following correctly describes the shape of the distribution?
A. uniform
B. skewed left
C. skewed right
D. roughly symmetric
The shape of the distribution is skewed right.
Option C is the correct answer.
What is a histogram?A histogram is an representation of the distribution of data with intervals.
We have,
From the histogram, we see that,
The shape of the distribution is skewed right.
For skewed distributions,
We have one tail of the distribution considerably longer relative to the other tail.
A skewed right distribution is one in which the tail is on the right side.
We get,
Mode > Mean > Median.
A skewed left distribution is one in which the tail is on the left side.
A figure is given below to compare the distribution.
Thus,
The shape of the distribution is skewed right.
Learn more about histograms here:
https://brainly.com/question/16819077
#SPJ1
Which ordered pair lies on the function f(x) = x2 + 3?
A) (–1,4)
B) (–1,–4)
C) (1,–4)
D) (–4,–1)
Answer:
(-1,4)
Step-by-step explanation:
to find out we just fill in the values to see if it’s true
(x,f(x))
4=-1^2+3
4=1+3
4=4
True
-4=-1^2+3
-4=1+3
-4=4
Not true
-4=1^2+3
-4=1+3
-4=4
Not true
-1=-4^2+3
-1=16+3
-1=19
Not true
Hopes this helps please mark brainliest
(-3, 7) and (6, -8) linear equations
Amanda is going to build some large wooden storage boxes. The boxes are shaped like rectangular prisms, as shown below. She wants to cover all the sides of each box with special wallpaper. If she has a total of of wallpaper, how many boxes can she cover?
The number of boxes that Amanda can cover with W square inches of wallpaper will be equal to W/2(lw + lh + wh).
Let's assume that Amanda wants to build n wooden storage boxes. All of these boxes are shaped like rectangular prisms, as shown in the image below.
She wants to cover all the sides of each box with special wallpaper. If she has a total of W square inches of wallpaper, we need to find out how many boxes she can cover. Let's solve this problem mathematically.
Mathematical Solution:
Each rectangular prism has six sides (faces). If we want to cover all the six sides of a rectangular prism with special wallpaper, we need to find the total surface area of that rectangular prism. Therefore, the surface area of each rectangular prism can be calculated by the formula:
Surface Area = 2lw + 2lh + 2wh,
where l, w, and h are the length, width, and height of the rectangular prism, respectively.
We know that Amanda has W square inches of wallpaper to cover all the boxes. Therefore, the total surface area of n boxes will be:
n × Surface Area = W.
Substituting the value of the Surface Area, we have:
n × (2lw + 2lh + 2wh) = W
2n(lw + lh + wh) = W
n(lw + lh + wh) = W/2
n = W/2(lw + lh + wh).
To learn more about : number
https://brainly.com/question/24644930
#SPJ8
A lock consists of 2 dials, where each dial has 6 letters. What is the probability of guessing the right combination in one try?
Answer:
i dont know the answer either
Step-by-step explanation:
thanks
An airplane cruises 1 kilometer in 1 12 of a minute. What is its cruising speed?
Answer:
Step-by-step explanation: 12 ur welcome
Speed is Distance traveled/time, then 12 kilometer per min is the cruising speed of airplane when airplane cruises 1 kilometer in 1 12 of a minute.
What is speed?Speed=Distance traveled/time
An airplane cruises 1 kilometer in 1 12 of a minute. We need to find the speed.
Given distance=1 km
time=1/12 min
We need to find speed.
Speed=Distance traveled/time
=1/(1/12)
=1*12/1
=12kilometerperminute
Therefore 12 kilometer per meter is the speed required.
To learn more on speed click:https://brainly.com/question/28224010
#SPJ2
$300 to $200 is how much of an increase?
Answer:
$100
Step-by-step explanation:
$300-$200=$100
or
$200+$100=$300
Answer:
50%
Step-by-step explanation: