which expression is the best estimate of the product of 7/8 and 8 1/10
Answer:
1 x 8
Step-by-step explanation:
7/8 rounded up equals 1 whole. 8 1/10 rounded makes 8.
You purchased a share of stock for $30. one year later you received $1.50 as a dividend and sold the share for $32.25. what was your holding-period return?
To calculate the holding-period return, add the dividend, selling price, and initial investment, then divide by the initial investment. In this case, the holding-period return is 12.5%.
Holding-Period Return Calculation:
Initial investment: $30
Dividend received: $1.50
Selling price: $32.25
Holding-Period Return = (Dividends + Selling Price - Initial Investment) / Initial Investment
Substitute the values: ($1.50 + $32.25 - $30) / $30 = $3.75 / $30 = 0.125 or 12.5%
What is the probability that the wine cooler would be less than 45 degrees?
To win at lotto in one state, one must correctly select 5 numbers from a collection of 58 numbers (1 through 58). the order in which the selection is made does not matter. how many different selections are possible?
A certain kind of animal weighs about 75 pounds at birth and gains about 2 pounds per day for the first few weeks. Determine those days for which the animal's weight is more than 125 pounds.
The animal's weight is more than 125 pounds when the animal is more than
........... days old.
25
Step-by-step explanation:Let w represent the weight of the animal in pounds, and d the age in days. The problem statement tells us ...
... w = 75 +2d
We want to find d when w > 125.
... 75 +2d > 125 . . . . . substitute the above expression for w
... 2d > 50 . . . . . . . . . subtract 75
... d > 25 . . . . . . . . . . . divide by 2
The animal will weigh more than 125 pounds when it is more than 25 days old.
A bucket contains 3 red balls, 4 yellow balls, and 5 purple balls. one ball is taken from the bucket and is not replaced. another ball is taken from the bucket. what is the probability that the first ball is red and the second ball is purple?
The probabilities are 0.25 and 0.454.
ProbabilityProbability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Given
A bucket contains 3 red balls, 4 yellow balls, and 5 purple balls.
To findThe probability that the first ball is red and the second ball is purple.
How to find the probability that the first ball is red and the second ball is purple?We know the formula
[tex]\rm Probability = \dfrac{favorable\ events}{total\ events}[/tex]
For the first ball is red, then
Total event = 12
Favorable event = 3
[tex]\rm Probability = \dfrac{favorable\ events}{total\ events}\\\\\rm Probability = \dfrac{3}{12}\\\\\rm Probability = 0.25[/tex]
For the second ball is purple, then
one ball is taken from the bucket and is not replaced
Total event = 11
Favorable event = 5
[tex]\rm Probability = \dfrac{favorable\ events}{total\ events}\\\\\rm Probability = \dfrac{5}{11}\\\\\rm Probability = 0.454[/tex]
Thus the probabilities are 0.25 and 0.454.
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The probability that the first ball drawn is red and the second ball drawn is purple, in a situation where the drawn ball is not replaced, is 5/44.
Explanation:In this probability question, we are dealing with a situation where sampling occurs without replacement, meaning, the first ball drawn is not put back into the bucket before the second ball is drawn. This impacts the probability of the outcomes.
There are 3 red balls, 4 yellow balls, and 5 purple balls in the bucket, making a total of 12 balls. The probability of drawing a red ball first is the number of red balls divided by the total number of balls, so P(Red1) = 3/12 = 1/4.
After taking out a red ball, there are now 11 balls left. The probability of drawing a purple ball next is the number of purple balls divided by the new total number of balls. So, P(Purple2 | Red1) = 5/11.
The question asks for the probability that the first ball is red and the second ball is purple. In probability theory, the probability of two independent events happening is computed by multiplying the probability of the first event by the probability of the second event given that the first one has occurred. So, the answer is P(Red1 and Purple2) = P(Red1) * P(Purple2 | Red1) = 1/4 * 5/11 = 5/44.
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what is the answer of 10a2b + ab2 – 10ab + 3a2b + 4ab – 7ab2
The cost of producing transistors decreases by 20% every year. If it currently costs $440 to produce a billion transistors, how much will it cost to produce a billion transistors in 7 years? If necessary, round your answer to the nearest cent.
Important!
For what values of x and y are the triangles congruent?
The simple linear regression model is yiequalsbeta0plusbeta1xiplusepsiloni. for what does yi stand? choose the correct answer below.
a. it is the slope of the population regression line.
b. it is the residual of the ith observation in the population.
c. it is the observed value of the response variable for the ith observation in the population.
d. it is the value of the explanatory variable for the ith observation in the population.
e. it is the y-intercept of the population regression line.
In the simple linear regression model, y[tex]_i[/tex] represents the observed value of the response variable for the [tex]i_{th}[/tex] observation. Therefore, the correct answer is option c.
The simple linear regression model is expressed as y[tex]_i[/tex] = β₀ + β₁x[tex]_i[/tex] + ε[tex]_i[/tex]. In this equation, y[tex]_i[/tex] stands for the observed value of the response variable for the i[tex]_{th}[/tex] observation in the population.
The equation y[tex]_i[/tex] = β₀ + β₁x[tex]_i[/tex] + ε[tex]_i[/tex] is used to model the relationship between a single explanatory variable and the response variable.
In this equation, y[tex]_i[/tex] denotes the observed value of the response variable.
The key components include β0 (y-intercept), β1 (slope), xi (explanatory variable), and εi (error term).
So, option c. it is the observed value of the response variable for the i[tex]_{th}[/tex] observation in the population, is the correct answer.
QM Q8.) Use the model to determine when the population of the country will be 855 million.
kelly ate 5/8of a pizza,lilly ate 2/6 of a pizza,ray ate 8/11 of a pizza,and marlin ate 2/5 of a pizza.which girl ate the least amount of pizza?
A thin layer of paint is 7x10^-7 m thick. In contrast, a coin is 3.43 x 10^-3 m thick. How many layers of paint are in a stack that is the height of the coin?
Kalinda is 68.7 inches tall and wants to know how many inches taller she is than Terrence. If t represents Terrence’s height in inches, which expression can she use to find the answer.
It would be 68.7 - t
What is the volume of a ball if its diameter is 6 inches? Leave your answer in terms of π. A) V = 12 π cubic inches Eliminate B) V = 36 π cubic inches C) V = 288 π cubic inches D) V = 27.75 π cubic inches
Answer:
V = 36 π cubic inches
Step-by-step explanation:
Test
The Community center for Watercrest has a large glass wall that looks out the lake Find The Area For the glass wall
A ship is sailing east. at one point, the bearing of a submerged rock is 44 degrees 20 prime44°20′. after the ship has sailed 15.715.7 mi, the bearing of the rock has become 308 degrees 40 prime308°40′. find the distance of the ship from the rock at the latter point.
your total savings varies inversely with the amount spent on Bill's. if your savings is $300 when your cost of Bill's are $65. What would your savings be when your cost of Bills is $145.
WILL MARK BRAINLEST HELP FASTTT
A ball is thrown into the air with an upward velocity of 32 ft/s. Its height h in feet after t seconds is given by the function h = –16t2 + 32t + 6. a. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. b. What is the ball’s maximum height?
a) It will reach the maximum in 1 second;
b) the maximum height is 22 feet.
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
We find the maximum by finding the vertex.
We first find the axis of symmetry, whose equation is,
x = -b/2a
x = -32/2(-16)
x = -32/-32
x = 1
This gives us that it reaches the maximum in 1 second.
And, To find the y-coordinate, the maximum height, we substitute this into the equation:
h(1) = -16(1²)+32(1)+6
h(1) = -16+32+6 = 22
Hence, It reaches a height of 22 feet.
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IMPORTANT HELP HURRY
Andrew is two years older than Beatrice, and Chris is three years younger than Beatrice. The product of Andrew's age and Chris' age is 66. How old is Beatrice? (1 point) Extra Content
HINT: Look at the Answers
A. A b2 − b − 72 = 0; 8 years old
B. B b2 − b − 72 = 0; 9 years old
C. C b2 − b − 72 = 0; 10 years’ old
D. D b2 − b − 72 = 0; 11 years’ old
Seven of the 10 children at Art can't make an average of 8 paintings. The remaining children make an average of 12 paintings. What is the average number of paintings made by children that are Camp. Enter your answer in the Box
Heather made a total of $451.78 last month at her part-time job. If she worked 14 hours, how much did she make per hour?
Heather made $32.27 per hour at her part-time job.
Explanation:To find out how much Heather made per hour at her part-time job, we need to divide her total earnings by the number of hours she worked. Heather made a total of $451.78 and worked 14 hours, so we can calculate her hourly rate by dividing $451.78 by 14.
$451.78 / 14 = $32.27 per hour
Therefore, Heather made $32.27 per hour at her part-time job.
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hey can you please help me posted picture of question
The diagram below shows the radius of the circular opening of a drinking cup. which of the following is the closest to the circumference of the opening in cm
Answer:
Its a 12
Step-by-step explanation:
PLZ HELP ASAP FEATURES OF A CIRLE FROM EXPANDED EQUATION
Find the volume of a square pyramid with a height of 10 m and base edges of 8 m
Final answer:
The volume of a square pyramid with a base edge of 8 m and a height of 10 m is calculated using the formula V = (1/3) x (base area) x (height), which results in a volume of 213.33 cubic meters.
Explanation:
To find the volume of a square pyramid with a base edge of 8 m and a height of 10 m, we can use the formula for the volume of a pyramid, which is V = (1/3) × (base area) × (height). First, we calculate the area of the square base, which is base edge squared, so the base area is 8 m × 8 m = 64 m². Next, we apply the volume formula:
V = (1/3) × (64 m²) × (10 m) = (1/3) × 640 m³ = 213.33 m³
Therefore, the volume of the square pyramid is 213.33 cubic meters.
Carols pencil is 18 centimeters long .How many millimeters long is the pencilCarol Spencer is 18 cm long how many millimeters long is the pencil
Please help with question, thanks
How many ways can you choose one insect from a collection of 5 butterflies and 11 ants? (b) how many ways can you choose one flower from a garden of two roses, six lilies, and eight birds of paradise? (c) how many ways can you choose two pieces of fruit from a bowl containing one persimmon and four mangoes?