Find the amount of time. I=$70, P=$350, r=4%
Answer:
5years
Step-by-step explanation:
I=70
P=350
R=4
I=PRT/100➜PRT=100 I
➜T=100 I/PR
➜100×70/350×4
➜7000/1400
➜5years
assuming the outcomes to be equally likely, find the probability that the tosses are all the same. the probablility that the tosses are the same is
The probability that the tosses are all the same is 1/2^n, where n is the number of tosses.
This is because the probability of each toss being the same is 1/2 (heads or tails). So the probability of all three tosses being the same is the product of the probabilities of the individual tosses:
1/2 * 1/2 * 1/2 = 1/2^3 = 1/8.
The reason for this is that the probability of each toss being the same is independent of the others. That is, the result of one toss does not affect the result of another toss.
As a result, the probability of all tosses being the same is the product of the probabilities of the individual tosses.
In summary, the probability of all tosses being the same is 1/2^n, where n is the number of tosses.
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You buy a watch for $60. a. There is a 6% sales tax. What is your total cost for the watch? b. Your friend buys the same watch a month later. It is now sold at a discount of 15%. What is the new sale price? c. What is your friend's total cost for the watch including tax? Original Price Percent of Discount Sale Price is? D. what is the percent of change in the total cost?
a. The sales tax is 6% of the original price of $60, which is:
0.06 x $60 = $3.60
So the total cost of the watch including tax is:
$60 + $3.60 = $63.60
b. The discount is 15% of the original price of $60, which is:
0.15 x $60 = $9
So the sale price of the watch is:
$60 - $9 = $51
c. To find the total cost of the watch including tax, we need to calculate the sales tax on the discounted price of $51:
0.06 x $51 = $3.06
So the total cost of the watch for your friend is:
$51 + $3.06 = $54.06
d. The percent change in the total cost can be calculated using the formula:
percent change = (new value - old value) / old value x 100%
For you, the old value was $60 and the new value (including tax) was $63.60. So the percent change is:
(percent change) = ($63.60 - $60) / $60 x 100% ≈ 6%
For your friend, the old value was $60 and the new value (including tax and discount) was $54.06. So the percent change is:
(percent change) = ($54.06 - $60) / $60 x 100% ≈ -9% (note that this is a decrease, since the new value is less than the old value)
which of the following is a fair gamble? question 2 options: one coin toss: win $10 if heads, lose $10 if tails. two coin tosses: win $10 if two heads, lose $10 if two tails, no change of wealth otherwise. a game in which you win $100 with probability 50%, lose $200 with probability 25%, and gain nothing with probability 25%. all of the above are fair gambles.
Out of all the given situations, all are fair gambles,
Any gamble is considered to be a fair gamble if the expectation of it is 0. Here, gamble means any situation which has a probabilistic uncertainty attached to it.
The expectation of any game is
E(X) = ∑xp(x)
In the first case
The probability to get a had or tails on flipping a coin is 1/2
Hence the expectation will be
E(X) = 0.5 X 10 + 0.5 X (-10)
= 5 - 5
= 0
Hence this is a fair gamble
In the next gamble, two coins are tosses
The probability to get 2 head is 1/4
The probability to get 2 tails is 1/4
The probability to get one head and one tail is 1/2
Hence,
E(X) = 0.25 X 10 + 0.25 X (-10) + 0.5 X 0
= 2.5 - 2.5
= 0
Hence this too is a fair gamble
Here,it is given that
Probability Gain
0.5 $100
0.25 - $200
0.25 $0
Therefore,
E(X) = 0.5 X 100 + 0.25 X (-200) + 0.25 X 0
= 50 - 50
= 0
Hence, all are fair gambles.
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Correct Question
which of the following is a fair gamble?
one coin toss: win $10 if heads, lose $10 if tails.
two coin tosses: win $10 if two heads, lose $10 if two tails, and no change of wealth otherwise.
a game in which you win $100 with a probability of 50%, lose $200 with a probability of 25%, and gain nothing with a probability of 25%.
all of the above are fair gambles.
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PLEASE HELP WILL MARK BRAINLIEST NO RANDOM ANSWERS
Answer:
2 is the correct answer
In a survey, 20 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $44 and standard deviation of $10. Estimate how much a typical parent would spend on their child's birthday gift (use a 99% confidence level). Give your answers to one decimal place. Provide the point estimate and margin or err
Based on the survey results, a typical parent would spend around $44 on their child's birthday gift, with a margin of error of approximately $2.9 at a 99% confidence level.
To estimate how much a typical parent would spend on their child's birthday gift, we use the sample mean and standard deviation as estimates of the population parameters. The sample mean of $44 serves as the point estimate for the population mean.
To determine the margin of error, we use the standard error, which is the standard deviation divided by the square root of the sample size. In this case, the standard error is approximately $2.5 (standard deviation of $10 divided by the square root of 20). Multiplying the standard error by the critical value corresponding to a 99% confidence level (z-value of 2.58 for a large sample size) gives us the margin of error.
Therefore, the typical amount spent on a child's birthday gift is estimated to be $44, with a margin of error of approximately $2.9. This means that we can be 99% confident that the true mean amount spent by parents falls within the range of $41.1 to $46.9.
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PLEASE HELP QUICK AHHHH <333
Answer:
=> ( -6,-10 )Step-by-step explanation:
Given :
x = -6
-7x + 6y = -18 ... i)
Putting the value of x in equation ...i)
=> -7 (-6) + 6y = -18
=> 42 + 6y = -18
=> 6y = -18 -42
=> 6y = - 60
=> y = -60/6
=> y = -10
The value of y = -10 and x = -6
Answer:
x= 4, y=6
Step-by-step explanation:
9x-9y = -18
9x=-18+9y
x=-2+y
-6(-2+y) + 9y = 6
-12-6y+9y=6
3y=18
y=6
9x -9(6)=-18
9x-54=-16
9x=36
x=4
Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. The total cost in dollars for ordering 5 tickets is $108.00. Which linear function represents c, the total cost, when x tickets are ordered? (A service fee is a single fee applied to the total, no matter the number of tickets purchased)
The linear function represents c, the total cost, when x tickets are ordered is c=21.6x+5.50.
What is linear function?A linear function is a function that represents a straight line on the coordinate plane. The standard form of a linear function is y = mx + b.
Given that, tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee.
The total cost in dollars for ordering 5 tickets is $108.00.
The cost of 1 ticket =108.00/5
=$21.6
Let c be the total cost of tickets.
So the cost of x tickets is
c=21.6x+5.50
Therefore, the linear function for the given situation is c=21.6x+5.50.
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A snail can move 3 inches in 2 minutes. At this rate, how many feet can it move in 6 hours?
Answer:
45 in 6 hours
Step-by-step explanation:
3 inches in 2 minutes
So every hour, it can do 90 inches (since we multiply 2 times 30, we have to multiply 3 times 30)
So next we need to find out how much it goes in 6 hours, so we take 6 x 90. That gives us 540.
Lastly, we take 540 and divide it by 12 (since there are 12 inches in a foot) and that gives us 45 feet in 6 hours.
Answer:
540 feet
Step-by-step explanation:
Convert hours to minutes - 6 * 60 = 360 minutes
3 inches in 2 minutes = 1.5 inches in 1 minute (I did this just to make the next steps easier)
Figure out the number of feet moved in 6 hours - 1.5 * 360 = 540 feet
:)
4. What is the correct ratio for sin A?
A) 5/12
B) 12/13
C) 5/13
D) 13/12
Answer:
sin A = 12 /13
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin A = opp / hyp
sin A = 12 /13
a) Calculate the size of angle x in the diagram
below.
b) Work out the bearing of A from B.
The angle x in the diagram is 98 degrees.
How to find the angles in parallel lines?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.
Therefore, let's find the angle of x using the angle relationships as follows:
The size of the angle x can be found as follows:
82 + x = 180(same side interior angles)
Same side interior angles are supplementary.
Hence,
82 + x = 180
x = 180 - 82
x = 98 degrees
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in the 2002 Winter Olympics in salt lake city , the United States and Canada earned a total of 51 metals. the United States earned twice as many as Canada. how many medals did each country earn?
Answer:
United States:34
Canada:17
Answer:
17 and 34
Step-by-step explanation:
the United States earned 34, while the Canada earned 17
x2 + 5x - 36 which binomial is a factor of the polynomial?
PLEASE HELP ME PLEASE
Answer:
8.5
Step-by-step explanation:
15x+10+6x+2=180 (add up to we 180 because they are alternate eachother
21x+12=180 combine like terms
21x=178 subtract 12 from both sides
x~~8.5 divide both sides by 21
16 - b = -3.5 b = what is b I really need help
a unit of measurement equal to one thousand meters is_____
A unit of measurement which is equal to one thousands meters is known as one kilometers.
Different units of measurements are meters , kilometers, centimeters, millimeters and so on.Measuring small length basically we use centimeters and very small length in millimeters.Measuring medium length we use unit known as meters.When we have measure long distance unit which is used is known as kilometers.Relation between different units of length are:1centimeters is equal to 10 millimeters1 meter is equal to 100 centimeters1 kilometers is equal to 1000 metersTherefore, the given units of measurement equal to one thousand meters is called one - kilometers.
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What Does C equal in
\(\sqrt{8c+4}\)
Along with the answer, please provide an explanation on how to do the +4
Answer:
See below.
Step-by-step explanation:
We have the expression:
\(\sqrt{8c+4}\)
And we want to determine the domain restrictions of the expression.
Remember that the radicand (expression under the square root) must always be positive or 0. This is because we can't take the square root of a negative (and the square root of 0 is just 0). So, to find the domain restrictions, we can write and solve for the following inequality:
\(8c+4\geq0\)
This is saying (8c+4) must be greater than or equal to 0. In other words, it's positive or 0.
So, solve for c. Subtract 4 from both sides:
\(8c\geq-4\)
Now, divide both sides by 8. This yields:
\(c\geq4/8\\c\geq -1/2\)
So, our c must be greater than or equal to -1/2. If it is less than -1/2, we won't have a solution.
Which of the following below is a solution to y=4x-3
(2,5)
(5,5)
(4,5)
(3,5)
\( \fbox{(2,5)}\)
Step-by-step explanation:Hello, substitute all the given coordinates & see if RHS match with LHS
given equation,
y = 4x-3
First coordinate,
(x,y) = (2,5)
5= 4×2-3
5=5
Hence, first solution satisfies the given equation,
let's solve for rest other cordinates,
second coordinate,
(x,y) = (5,5)
5= 4×5-3
5 ≠ 17
does not satisfy,
third coordinate,
(x,y) = (4,5)
5= 4×4-3
5 ≠ 13
does not satisfy,
fourth coordinate,
(x,y) = (4,5)
5 = 4×3-3
5 ≠ 9
does not satisfy.
Hence the correct answer is (2,5)
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there are 208 students going on the school field trip each bus can carry 32 students how many buses will be needed
Answer:
7 busses
Step-by-step explanation:
208students divided by the number of students per bus 32The answer is 6.5 you can't split a kid in half so you will need to take 7 busses
The sum of an infinite geometric series is twice its first term.
a. A student says the common ratio of the series is 3/2 . What is the student's error?
The student's error is that the common ratio would not be equal to 3/2.
What is Common Ratio:
The general form of representing a geometric progression is a1, (a1r), (a1r2), (a1r3), (a1r4) ,... where a1 is the first term of GP, a1r is the second term of GP, and r is the common ratio.
Common Ratio Formula:
Common ratio,
r =a n / a n−1
where,
an is the nth term of the geometric progression.
an−1 is the (n - 1)t h term of the geometric progression.
Now,
\(S_{infinity} = 2a_{1} \\\\= a_{1} / 1-r\\\\2a_{1} = a_{1} / 1-r\\\\= 1-r = 1/ 2\\\\r = 1/2 - 1\\\\r = 1/2\)
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Solve pls brainliest
Answer:
It's B, and the last one
Step-by-step explanation:
because 20% of omnivores like to exercise as opposed to the 14% of vegetarians.
Also about 16% of everybody LIKES to exercise, meaning more than 80% DON'T like to exercise
Write the square root for each number
Step-by-step explanation:
7=2 8=12 10=10 11=9
Answer:
√(4) is 2
√(100) is 10
√(144) is 12
√(81) is 9
Find the mean of the data plot below.
=============================================
Explanation:
The dot plot indicates we have this data set: {20, 23, 25, 28}
Add up those values to get 20+23+25+28 = 96
Then divide by 4 since there are 4 values being added up here
96/4 = 24
So the arithmetic mean is 24.
Solve for y= 1/2x -1
Find the greatest common factor of 28 and 63
Answer:
The Greatest Common Factor (GCF) for 28 and 63, notation CGF(28,63), is 7.
Step-by-step explanation:
The factors of 28 are 1,2,4,7,14,28;
The factors of 63 are 1,3,7,9,21,63.
So, as we can see, the Greatest Common Factor or Divisor is 7, because it is the greatest number that divides evenly into all of them.
Brainlist maybe? :)
Can someone solve then explain the process of solving this?
Answer: angle A is none of those
Step-by-step explanation:
the sum of all angles in a triangle = 180
one of the triangles is 90
we can form an equation:
90 + (x+69) + (x+39) = 180
90 + 2x + 108 = 180
198 + 2x = 180
2x = 180 - 198
2x = -18
x = - 9
angle A = x+39
substitute x = -9
angle A = -9 + 39 = 30
so angle A is none of those
A circle with its center at O (6,5) has a radius of 5 units. Point P (2,y) lies on the circle. Also y<4. Find y
3х - 5 = 13
solve the equation
Answer:
x=6
Step-by-step explanation:
3(6)-5=13
18-5=13
13=13
Answer:
6
Step-by-step explanation:
3x - 5 =13
3x =15 +3
3x =18
x=18 :3
x=6
The regression line relating verbal SAT scores and college GPA for the data exhibited in Figure 3.12 is
a. Estimate the average GPA for those with verbal SAT scores of 600.
b. Explain what the slope of 0.00362 represents in terms of the relationship between GPA and SAT.
c. For two students whose verbal SAT scores differ by 100 points, what is the estimated difference in college GPAs?
d. Explain whether the intercept has any useful interpretation in the relationship between GPA and verbal SAT score. Keep in mind that the lowest possible verbal SAT score is 200.
(a) The GPA for those with verbal SAT scores of 600 is: 3.097
(b) The slope of 0.00362 represents the average change in the college GPA that is associated with a one-unit increase in the verbal SAT score
a. Estimate the average GPA for those with verbal SAT scores of 600.
The regression line relating verbal SAT scores and college GPA for the data exhibited in Figure 3.12 is y = 0.275 + 0.00362x.
The GPA for those with verbal SAT scores of 600 is:
y = 0.275 + 0.00362(600)
= 3.097
b. Explain what the slope of 0.00362 represents in terms of the relationship between GPA and SAT.
The slope of 0.00362 represents the average change in the college GPA that is associated with a one-unit increase in the verbal SAT score
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The sum of two consecutive integers is at least 36. What does the equation look like and what is the least possible pair of integers?
A.x+x+1≤36
18 and 17
B.x+x+1≥36
17 and 19
C.x+x+1≥36
18 and 19
D.x+x+1≤36
18 and 18
Answer:
The answer is B
Step-by-step explanation:
the ans has to be 36 or more. so A and D can't B the answer. amongst B and C the lowest possible value is B - 36. so 36 is the answer