Answer:
11
Step-by-step explanation:
The answer is 11 because if you put -2 you multiply the -4 and-2 which is 8.
Solve 15x squared + 40x
Answer:
265x{2} + 40x
Step-by-step explanation:
Squared mean to multiply the number times itself. So 15x times 15x.
\(15x^{2} = 225x\){2}
Then the problem says to add, but because one is squared and th other is not, they cannot be combined. So the answer is:
\(225x{2} + 40x
Answer:
see below
Step-by-step explanation:
15x^2 + 40x
These are not like terms so they cannot be combined.
If you mean
(15x) ^2 + 40x
(15x * 15x) + 40x
225x^2 + 40x
They are still not like terms so they cannot be combined.
The radius of a circular field is 35m. Calculate the area path 3.5m wide running inside the field.
Answer: Twenty one meeters!!
Answer: The area of the path running around the inside edge of the field is 731.2 m²
If the path is across the middle of the field, the area of that path is about 245m²
Step-by-step explanation:
The radius of the field is 35m, subtracting 3.5 from that leaves the radius of the inside edge of the path at 31.5 m
The area of the path will be the difference between the two areas.
π × 35² = 3848.45
π × 31.5² = 3117.25
3848.45 - 3117.45 = 731.2
If the path is across the middle of the field, use the diameter, 70m, times the width of the path, 3.5m, to find the area of that path: 245m²
I hope this helps.
Will mark brainliest! Please help me :(
Michael is planting a garden. It has the shape of a right triangle. He wants 4 plants for each square yard of area. How many plants does he want in the garden?
Answer:
336 plants
Step-by-step explanation:
Area of a right triangle= 1/2•base•height
A= 1/2bh
A= 1/2•7•24
A= 84 yards^2
# of plants= yards^2•4
84•4= 336 plants
Hope this helped! Let me know my math was off of if you have any questions
FILL IN THE BLANK. Study with Quizlet and memorize flashcards containing terms like ____ are the categories by which data are grouped
Data categorization is a process of organizing and grouping data into meaningful classes or categories.
This process is often used to simplify data and make it easier to understand and analyze. Data categorization involves breaking down a large set of data into smaller, more manageable groups. For example, a company may group customers into categories based on their age, income, or location. Each group can then be analyzed separately to better understand customer behavior. Categorizing data can also help identify trends or patterns that may not be visible when looking at the data as a whole. Categorization can also be used to identify outliers or anomalies in the data. By breaking down the data into smaller groups, it becomes easier to see which elements don’t fit the pattern or are not part of the normal range. Categorizing data can be done using a variety of methods. For example, data can be divided into numerical ranges or grouped into categories such as low, medium, and high. Data can also be grouped using descriptive terms, such as customer type or product type. Once the data is categorized, calculations such as averages, medians, and modes can be used to analyze the data. This can help to identify patterns or trends that can be used to make decisions or draw conclusions.
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At age 25, Gherman Titov was the youngest person to travel into space. This is 52 years less than the oldest
person to travel in space, John Glenn. How old was John Glenn? Use the bar diagram to help write and solve an
equation.
Answer:
77 years old
Step-by-step explanation:
"
PROBLEM S (24 pts): Construct the angle bisector t of a Poincaré angle ZBAB' in the Poincaré disk model, where Ao
In the Poincaré disk model, the angle bisector of an angle ZBAB' can be constructed as follows:
1. Draw the chords AB and A'B' in the Poincaré disk, which represent the lines forming the angle ZBAB'.
2. Find the midpoints M and M' of the chords AB and A'B', respectively. These midpoints can be obtained by finding the intersection points of the chords with the unit circle.
3. Draw a straight line passing through the center O of the unit circle and the midpoints M and M'. This line represents the angle bisector t.
4. Extend the line t from the unit circle to the boundary of the Poincaré disk.
The resulting line t is the angle bisector of the angle ZBAB' in the Poincaré disk model.
Please note that constructing the angle bisector in the Poincaré disk model involves geometric construction techniques and may require tools such as a compass and straightedge.
The complete question is:
Construct the angle bisector t of a Poincaré angle ∠BAB' in the Poincaré disk model, where A≠0. (hint: there are two ways to do this, one of which involves picking B and B' so that AB≅ AB' in the Poincaré disk)
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a lamp manufacturer has developed five lamp bases and four lampshades that could be used together. how many different arrangements of base and shade can be offered? a. 5 b. 10 c. 15 d. 20
Different lampshades that could be used together are A) 5.
How to determine the value of any factorial value?
The factorial function (symbol:!) instructs us to multiply all whole numbers starting at the number we have chosen down to one.
Examples:
4! = 4 × 3 × 2 × 1 = 24
7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040
according to the question, five lamp bases and four lampshades that could be used together. so the calculation will be 5C4
using factorial,
Hence, 5 different arrangements of base and shade can be offered together. (using factorial)
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Kevin can travel 22 1/2 miles in 1/3 hour. What is his average speed in miles per
hour?
G. 67.5 mph
H. 68 mph
F. 65 mph
I. 70 mph
Cynthia invests some money in a bank which pays
5% compound interest per year.
She wants it to be worth over £8000 at the end of 3 years.
What is the smallest amount, to the nearest pound, she can invest?
Answer: £6910.7
Step-by-step explanation:
Given
Rate \(R=5\ \%\)
Amount \(A=\)£\(8000\)
Time \(T=3\ years\)
In compound interest, the Amount is given by
\(A=P[1+\frac{R}{100}]^T\)
\(8000=P[1+\frac{5}{100}]^3\)
\(P=\dfrac{8000}{1.1576}\)
\(P=\)£\(6910.7\)
a mother and daughter are on a seesaw in the park. how far from the center must the 125 lb mother sit in order to balance the 53 lb daughter sitting 7 ft from the center? answer in units of ft.
To balance her daughter, the mother should sit 2.97 feet from the center of the seesaw.
The fulcrum or the pivot point of the seesaw is in its center.
The moment of force in the center should be equal to zero.
Let's define the variables:
wm = weight of the mother
wd = weight of the daughter
x = mother's distance from the center of the seesaw
d = daughter's distance from the center of the seesaw
Applying the law of moment of force,
Net moment = 0
wm · x - wd · d = 0
wm · x = wd · d
Substitute:
wm = 125 lb
wd = 53 lb
d = 7 ft
Then,
125 x = 53 · 7
x = 53 · 7 /125 = 2.97 ft
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One card is drawn from deck of 15 cards numbered through 15_ Find the following probabilities (Enter your probabilities as fractions.) (a) Find the probability that the card is even and divisible by 3. (b) Find the probability that the card even or divisible by 3
a) The probability of drawing a card that is even and divisible by 3 is 2/15.
b) The probability of drawing a card that is even or divisible by 3 is 11/15.
(a) To find the probability that the card is even and divisible by 3, we need to determine the number of cards that satisfy both conditions and divide it by the total number of cards.
The numbers that are even and divisible by 3 within the range of 1 to 15 are 6 and 12. Therefore, there are 2 cards that meet both conditions.
Since there are 15 cards in total, the probability of drawing a card that is even and divisible by 3 is 2/15.
(b) To find the probability that the card is even or divisible by 3, we need to determine the number of cards that satisfy either condition and divide it by the total number of cards.
The numbers that are even within the range of 1 to 15 are 2, 4, 6, 8, 10, 12, and 14, which are a total of 7 cards. The numbers divisible by 3 within the same range are 3, 6, 9, 12, and 15, which are a total of 5 cards. However, we should not count 6 twice since it satisfies both conditions.
Therefore, there are 7 + 5 - 1 = 11 cards that are either even or divisible by 3.
Since there are 15 cards in total, the probability of drawing a card that is even or divisible by 3 is 11/15.
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Events E and F are mutually exclusive.
P(E)=0.4 and P(F)=0.1
Find P(E∩F′)
P(E∩F′)=?
Answer:
0
Step-by-step explanation:
P(F') = 1 - P(F) = 1 - 0.1 = 0.9
P(E∩F) = 0
P(E∩F') = 0
Solve for N:
-24 - N = 12
Explain how you solved it.
Answer: n=-36
Step-by-step explanation: Hope this help :D
Answer:
The answer is - 36
Step-by-step explanation:
-24-N=12
or, - N = 12+24
N = - 36
is 2/10 equivalent to 20/100
Answer:
Yes it is
Step-by-step explanation:
You know it is equal because 2/10 is equal to .20 or .2
Answer:
I’m sure they are both equivalent to 1/5
Step-by-step explanation:
What is the value of x in the equation??????
.
15 points!!
Please hurry :)
Answer:
-8
Step-by-step explanation:
Consider the following function. f(x) = ex x8 (a) find the intervals of increase or decrease. (enter your answers using interval notation.)
The interval of increase for the function f(x) = ex x8 is (0, ∞).
To determine the intervals of increase or decrease for the given function, we need to analyze the sign of the derivative.
Let's find the derivative of f(x) with respect to x:
f'(x) = (ex x8)' = ex x8 (8x7 + ex)
To determine the intervals of increase, we need to find where the derivative is positive (greater than zero).
Setting f'(x) > 0, we have:
ex x8 (8x7 + ex) > 0
The exponential term ex is always positive, so we can ignore it for determining the sign. Therefore, we have:
8x7 + ex > 0
Now, we solve for x:
8x7 > 0
Since 8 is positive, we can divide both sides by 8 without changing the inequality:
x7 > 0
The inequality x7 > 0 holds true for all positive values of x. Therefore, the interval of increase for the function is (0, ∞), which means the function increases for all positive values of x.
The function f(x) = ex x8 increases in the interval (0, ∞).
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a student at another business school surveys 100 of 1000 graduates from last year and asks about their salaries. the researcher finds that the average income is $65, 000, with a standard deviation of $8000. if you wanted to be 95% sure that the real mean of all 1000 students is within a range of the sample mean, what would you set your confidence interval lower and upper bounds to be?
As per the given standard deviation, the confidence interval is 495.84, upper bound is $65,495.8 and the lower bound is $64,504.2
Confidence interval
Confidence interval means a range of values, bounded above and below the statistic's mean, that likely would contain an unknown population parameter.
Given,
A student at another business school surveys 100 of 1000 graduates from last year and asks about their salaries. the researcher finds that the average income is $65, 000, with a standard deviation of $8000.
Here we need to find the confidence interval lower and upper bounds if you wanted to be 95% sure that the real mean of all 1000 students is within a range of the sample mean.
While we looking into the given question, we have identified the following values,
standard deviation = $8,000
Average income = $65,000
Sample size = 1000
Confidence level = 95%
Then the value of confidence interval is calculated by the formula,
Then we get the value of
Lower bound = 64504.2
Upper bound = 65495.8
Confidence interval (±) = 495.84
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80 volunteers take a meningitis test to help doctors see how accurate this test is at identifying whether someone has meningitis or not. a positive result means the test has identified you as having meningitis. of the volunteers, only 17 people have meningitis. the results show 5 people who have meningitis gets a negative result and 7 people who don't have meningitis get a positive result. what was the accuracy of the test?
Using it's formula, it is found that the accuracy of the test was of 0.85 = 85%.
What is the accuracy of a test?The accuracy of a test is given by the number of correct results divided by the number of results.
In this problem, there are 80 tests, and of those, 5 + 7 = 12 had incorrect results, hence 68 had correct results.
Hence the accuracy of the test is given by:
a = 68/80 = 0.85 = 85%.
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look at photo i dont know what it is.
Answer: 130\(\pi\)
Step-by-step explanation:
SA=2\(\pi\)rh+2\(\pi\)r²
Substitute Values:
SA=2\(\pi\)5×8+2\(\pi\)5²
Solve by removing \(\pi\):
2×5×8+2×5² = 130
Plug \(\pi\) back in to get:
130\(\pi\)
Can someone help me please ?
Hannah sold 3 times more tickets than Andrea.
If Hannah sold 66 tickets, then Andres sold 22
Hannah needs to give the money for 22 tickets to Andres
How to fill the blanksBased on the given information, we know that Hannah sold 3 times as many tickets as Andrea.
If we represent the number of tickets Andrea sold as h, then the number of tickets Hannah sold would be 3h.
If Hannah sold 66 tickets, we can substitute this value into the equation:
3h = 66
h = 66/3
h = 22
Therefore, Andrea sold 22 tickets.
To submit evenly to the cash registers they are supposed to have equal numbers. Hence, each person will have (66 + 22)/2
= 88/2
= 44
Hannah will reduce 66 - 44 = 22
Andres add 22 + 22 = 44
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14÷966 I need help doing this pls help
Answer:
0.01
Step-by-step explanation:
i hope this help only that u need to do next time is to divide 966 with a number that is close to the sum
Consider the equation cos 2
θ+tan 2
θ=2. a. Graphically determine a general solution to the equation, to the nearest hundredth of a radian. b. Verify the solution by substitution. Complete at least one verification for each set of coterminal angles.
a) Graphical determination of a general solution to the equation cos 2θ+tan 2θ=2 can be done by using the trigonometric circle and applying basic trigonometry.
The equation can be rewritten as:
cos2θ+sin2θ/cos2θ=2
2cos2θ/cos2θ=2
cos2θ=1
2θ = 2πn, where n is an integer number.
θ = πn, where n is an integer number.
The solution for the equation is:
θ = πn/2, where n is an integer number.
To the nearest hundredth of a radian:
θ = 0, π/2, π, 3π/2 radians.
b) Verification of the solution can be done by substituting the value of θ in the equation and checking if it holds true or not. For coterminal angles, we need to use the fact that coterminal angles have the same value of trigonometric functions.
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Given the semi-circle shown, find the values of both x and y .
Check the picture below.
a corporate bond has the probability of repayment of 92% in year 1 and 88% in year. what is the probability of default over the two-year period? a corporate bond has the probability of repayment of 92% in year 1 and 88% in year. what is the probability of default over the two-year period? 16.75% 18.74% 20.18% 19.04%
The probability of default over the two-year period is approximately 19.04%.The probability of default over a two-year period for a corporate bond with a 92% repayment probability in year 1 and an 88% repayment probability in year 2 can be calculated using the complementary rule in probability theory.
First, we need to find the probability of successful repayment in both years. To do this, we multiply the probabilities of repayment for each year:
P(Repayment in Year 1 and Year 2) = P(Repayment in Year 1) × P(Repayment in Year 2 | Repayment in Year 1) = 0.92 × 0.88 ≈ 0.8096
Now, we use the complementary rule to find the probability of default over the two-year period. The complementary rule states that the probability of an event not happening is equal to 1 minus the probability of the event happening:
P(Default over the two-year period) = 1 - P(Repayment in Year 1 and Year 2) = 1 - 0.8096 ≈ 0.1904
To express the probability as a percentage, we multiply by 100:
0.1904 × 100 ≈ 19.04%
Therefore, the probability of default over the two-year period is approximately 19.04%.
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Sarah launches a snowball at
a rate of 16 feet per second
from a hill that is 32 feet off
the ground.
When does the
snowball hit the
ground?
What is the maximum
height the snowball
reaches?
Step-by-step explanation:
We can use the kinematic equations of motion to solve this problem. Let's assume the initial velocity of the snowball is 16 feet per second and its initial height is 32 feet. Also, we know that the acceleration due to gravity is -32.2 feet per second squared (assuming downward direction as negative).
To find out when the snowball hits the ground, we can use the equation:
h = 32 + 16t - 16t^2
where h is the height of the snowball at time t. We want to find the value of t when h = 0 (since the snowball hits the ground at that point). Therefore, we can rewrite the equation as:
16t^2 - 16t - 32 = 0
Dividing both sides by 16, we get:
t^2 - t - 2 = 0
Solving for t using the quadratic formula, we get:
t = (1 ± √(1 + 8))/2
t = 2 seconds or -1 second
Since time cannot be negative, the snowball hits the ground after 2 seconds.
To find the maximum height the snowball reaches, we can use the fact that the maximum height occurs at the vertex of the parabolic trajectory. The x-coordinate of the vertex is given by:
t = -b/2a
where a and b are the coefficients of the quadratic equation. In this case, a = 16 and b = -16, so:
t = -(-16)/(2*16) = 0.5 seconds
To find the corresponding height, we can substitute t = 0.5 seconds into the equation for h:
h = 32 + 16(0.5) - 16(0.5)^2
h = 36 feet
Therefore, the maximum height the snowball reaches is 36 feet.
{5, 3, 1, -1, ...} find a18
Answer: The numbers are decreasing by 2. So that means that the eighteenth number would be -29.
Explanation:
{5, 3, 1, -1, -3, -5, -7, -9, -11, -13, -15, -17, -19, -21, -23, -25, -27, -29...}
The members of a men’s club have a choice of wearing black or red vests to their club meetings. A study done over a period of many years determined that the percentage of black vests worn is 70%. If there are 10 men at a club meeting on a given night, what is the probability, to the nearest thousandth, that at least 8 of the vests worn will be black?
Answer:
Step-by-step explanation:
Let x be a random variable representing the number of the members of a men’s club that wear black vests to their club meetings. This is a binomial distribution since the outcomes are two ways. It is either they wear black or red. The probability of success, p = 70/100 = 0.7
The probability of failure, q would be 1 - p = 1 - 0.7 = 0.3
a) Number of samples, n = 10
We want to determine P(x ≤ 8)
From the binomial distribution calculator,
P(x ≤ 8) = 0.851
Answer:
The probability that at least 8 of the vest worn will be black is 0.75490
Step-by-step explanation:
The parameters given are;
The percentage of black vest worn = 70%, p₀ = 0.7
Number of men in sample, n = 10
Required number of men who wore black = 8
Proportion of sample \(\hat p\) = 8/10 = 0.8
The z score of a proportion is given by the relation;
\(z = \dfrac{\hat p - p_0}{\sqrt{\dfrac{p_0(1 - p_0)}{n} } }\)
Plugging in the vales, we have;
\(z = \dfrac{0.8 - 0.7}{\sqrt{\dfrac{0.7(1 - 0.7)}{10} } } = 0.69\)
From the z table we have probability = p(z < 0.69) = 0.75490
The probability that at least 8 of the vest worn will be black = 0.75490.
answer the top two which is multiplying the fractions
this is my answer, and i hope this helps...
when driving her american hybrid car in canada, heidi knows that she drives 55 miles for every gallon of gas. she has exactly 6 gallons left in her tank when she reaches a sign that says she has 550 kilometers to travel until she reaches calgary. if she drives until the tank is empty, approximately how many kilometers will she have remaining on her trip when the tank reaches empty? (note: 1 kilometers
Heidi will have approximately 360 kilometers remaining on her trip when her tank is empty.
This is calculated by dividing the total kilometers to travel, 550, by the miles per gallon, 55. This results in a total of 10 gallons of fuel needed to complete the trip. Subtracting the 6 gallons Heidi has in her tank from the 10 gallons needed leaves 4 gallons that need to be acquired.
Multiply the 4 gallons by the miles per gallon to find the distance travelled in miles, which equals 220 miles. To convert to kilometers, divide 220 miles by 0.62, which is approximately equal to 360 kilometers.
To sum up, Heidi will have 360 kilometers remaining on her trip when her tank is empty. She needs to purchase 4 gallons of gas to complete the trip, and will travel a total of 220 miles. To convert this to kilometers, divide 220 miles by 0.62. This results in an approximate total of 360 kilometers.
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There are 450 people traveling to watch a playoff football game. Each bus can seat up to 55 people. Write an equation that represents the number of buses it will take to transport the fans. Use a table to find a solution.
Answer:
Step-by-step explanation: 55x=450