Answer:
60
Step-by-step explanation:
(5/12)*144 = 5*(144/12) = 5*12 = 60
Answer:
60
Step-by-step explanation:
Need help take your time and thank yoh
Answer:
(x - 3)(x - 12)
Step-by-step explanation:
Assuming you require to factor the expression
x² - 15x + 36
Consider the factors of the constant term (+ 36) which sum to give the coefficient of the x- term (- 15)
The factors are - 3 and - 12, since
- 3 × - 12 = + 36 and - 3 - 12 = - 15 , then
x² - 15x + 36 = (x - 3)(x - 12) ← in factored form
A relay race is 1/4 mile long and is run by 4-member teams. If each team member runs the same distance, what fraction of a mile does each team member run? Explain how you found your answer
Answer:
0.0625 miles
Step-by-step explanation:
There is a faster way but this way makes more sense
1/4 miles = 440 yards
440/4 (since 4 people)
110 yards per person
Put back into miles
Everyone ran 0.0625 miles
Help please! See attached photo
x = ___ ft
Answer:
Is it drawn to scale
Step-by-step explanation:
Answer:
97.5 or 48.75
Step-by-step explanation:
if you look at the picture there is a line over the triangle it says 97.5ft x is under the line so my guess is x= 97.5
if its not x then 97.5 divided by 2 = 48.75
you divide by 2 because you are able to partition the triangle into 2
I hoped this helped
I need the answer please help me
Answer:
-29.988 or if you round up -30
Step-by-step explanation:
1) Convert fractions to decimals
3.6 x (-8.33) = -29.988
Answer:
I think its this but not sure
Mike has his birthday in june,the date is a multiple of 4,the date is also a multiple of 10,what is the date of mike is birthday. show the working
i dont know please help
Answer:
less than or equal to x
Step-by-step explanation:
For example
[4 ] = 4
[4.3 ] = 4
[- 2 ] = - 2
[- 2.4 ] = - 2
What expression is equivalent to
P/3 + (3s + 7)
Answer:
(P+9s+21)/3
Step-by-step explanation:
hello :
P/3 + (3s + 7) = P/3 + 3(3s + 7)/3 = (P+9s+21)/3
PLEASEEEE HELP MEEE
Matching equations with diagrams & finding unknown ancies
is on line WY. Find the value of b.
Which equation(s) and angemeurerents go with the
diagram. Choose ALL that apply
(Select all that apply.)
In Problems 1-22 solve the given differential equation by separation of variables. 1. dy = sin 5x dx dy 2. = (x + 1)2 dx - 3. dx + 23«ily = 0 dy 5. x 4. dy = (y = 1)?dx = 0 dy 6. + 2xy2 = 0 dx -- = 4y dx 7. dy = €3x+2y dx dy 8. e'y dx e+e-2x+y
By using separation of variables method, we get y = (-1/5)cos 5x + C.
Given differential equations are:
1. dy = sin 5x dx
2. y' = (x + 1)2 dx - 3. dx + 2
3. ydy = 0 dx
4. dy = (y = 1)?dx = 0
5. x dy = 4y dx
6. dx + 2xy2 = 0
7. dy = €3x+2y dx
8. e'y dx = e+e-2x+y dy
We have to solve the above differential equations using the separation of variables.
Separation of variables:
Suppose that the differential equation of the form given below,
y'=g(y)·h(x), then, by using the separation of variables, we get
dy / g(y) = h(x) dx
And by integrating both sides, we get the solution to the differential equation. Here, we get the solution in terms of x and y.
1. y = (-1/5)cos 5x + C
2. (1 / 3) (x + 1)3 - 3x2 + 23x = C
3. y = C
4. y = Ce
5. x2 / 2 - 4ln |y| = C
6. y = Ke-x2 / 2
7. 3e-3x/2 - 2y = Ce-3x/2
8. e-y+2x = C / e2x
We can find out the constant using the initial condition given. Solving differential equations using the separation of variables involves separating the equation into two parts concerning the independent and dependent variables, integrating both parts separately, and then equating them with a constant.
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“The auditorium can hold a maximum of 150 people.”
Answer:
\(x \leq 150\)
Step-by-step explanation:
Given
The statement above
Required:
Translate & Solve
Represent the people in the auditorium with x
When we say maximum, we mean "less than or equal to"
So:
A maximum of 150 people means \(\leq 150\)
Since, the population is represented with x, the expression can then be properly written as:
\(x \leq 150\)
Each outcome on the spinner below has equal probability. If you spin the spinner three times and form a three-digit number from the three outcomes, such that the first outcome is the hundreds digit, the second outcome is the tens digit and the third outcome is the units digit, what is the probability that you will end up with a three-digit number that is divisible by $4$?
So, the probability of ending up with a three-digit number that is divisible by 4 is 1/24.
To find the probability of ending up with a three-digit number that is divisible by 4 when spinning the spinner three times, we need to consider the possible outcomes that satisfy this condition and divide it by the total number of possible outcomes. Let's analyze the given spinner and its possible outcomes:
Spinner: [1, 2, 3, 4, 5, 6]
To form a three-digit number, the hundreds digit will be determined by the first spin, the tens digit by the second spin, and the units digit by the third spin. A number is divisible by 4 if the last two digits (tens and units digits together) form a number divisible by 4. Therefore, we need to find the number of possible outcomes for the tens and units digits that satisfy this condition.
Possible outcomes for the tens digit: [2, 4, 6]
Possible outcomes for the units digit: [2, 4, 6]
Combining the possible outcomes for the tens and units digits, we have a total of 9 (3 possibilities for the tens digit multiplied by 3 possibilities for the units digit) favorable outcomes. The total number of possible outcomes for each spin is 6 (since there are 6 numbers on the spinner). Since we are spinning the spinner three times independently, the total number of possible outcomes for spinning it three times is 6^3 = 216. Therefore, the probability of ending up with a three-digit number divisible by 4 is:
Probability = favorable outcomes / total outcomes
Probability = 9 / 216
Probability = 1 / 24
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Points A, B, and C are collinear. Point B is between A and C. Find the length indicated.
Answer:
BC = 12
Step-by-step explanation:
23 - (2 + 9)
23 - 11 = 12
BC = 12
find the volume of the cylinder
Step-by-step explanation:
8 volume
If j(x) = x^2 + 1, find j(a + 1)
Answer:
\((a + 1) ^{2} + 1\)
\(a ^{2} + 2a + 2\)
Gabriella bought 6 7/14 yards
of red fabric and 7 1/7 of
blue. How much cloth did she
buy in all?
Answer:
13 9/14
Step-by-step explanation:
Add the blue + red fabric
1. Make the denominator the same
6 7/14 + 7 2/14
2. Add
6 7/14 + 7 2/14 = 13 9/14
Answer:
13 9/14
Step-by-step explanation: You would change 1/7 into 2/14 for a common denominator then add 2/14 and 7/14 and get 9/14 and 6+7=13 so it would be 13 9/14. Plzzzz give me brainliest
one condition for performing a hypothesis test is that the observations are independent. mary is going to take a sample from a population of 500 students. how many students will mary have to sample without replacement to treat the observations as independent?
Mary will have to take a sample of 30 to 40 students to treat observations as independent.
According to the central limit theorem, one condition for performing a hypothesis test is that the observations are independent. Mary is going to take a sample from a population of 500 students.
According to the requirement of the central limit theorem, when performing a hypothesis test, the observations should be independent. In order to treat observations as independent, Mary will have to take a sample without replacement.
For a sample to be independent, each of the students in the population should have an equal chance of being selected. Since the total population of students is 500, Mary should pick any number of students that will represent the entire population.Usually, a sample size of about 30 to 40 students is enough to represent the entire population.
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a. To use the fact that (-1)(-1) = 1 to find -4 • (-9), what do you do first? A. Write each factor as the product of -1 and a positive number. B. Write each factor as the product of 1 and a negative number. C. Write each factor as the product of 1 and a positive number. D. Write each factor as the product of -1 and a negative number. b. Find the product - 4 • (-9).
Answer:
a. C
b. -4(-9)
since - *- =+
-4(-9) = 36
Hey There,
Please Help me with the Following
Interior Angles
Exterior Angles
Thank You Guys
Interior angles: the angle formed inside a polygon .
Exterior angles: the angles formed between sides of polygon and extended adjacent side.
She must determine height of the clock tower using a 1.5 m transit instrument (calculations are done 1.5 m above level ground) from a distance 100 m from the tower she found the angle of elevation to be 19 degrees. How high is the clock tower from 1 decimal place?
Step-by-step explanation:
We can use trigonometry to solve this problem. Let's draw a diagram:
```
A - observer (1.5 m above ground)
B - base of the clock tower
C - top of the clock tower
D - intersection of AB and the horizontal ground
E - point on the ground directly below C
C
|
|
|
|
| x
|
|
|
-------------
|
|
|
|
|
|
|
|
|
B
|
|
|
|
|
|
|
|
|
|
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A
```
We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:
tan(ACD) = CE / AB
tan(19) = CE / 100
CE = 100 * tan(19)
CE ≈ 34.5 m (rounded to 1 decimal place)
Therefore, the height of the clock tower is approximately 34.5 m.
the mean weight of an adult is 66 kilograms with a variance of 144 . if 123 adults are randomly selected, what is the probability that the sample mean would be greater than 66.7 kilograms? round your answer to four decimal places.
Answer:
The mean weight of an adult is 66 kilograms with a variance of 144. If 123 adults are randomly selected, the sample mean would follow a normal distribution with a mean of 66 kilograms and a standard deviation of sqrt(144/123) = 3/sqrt(123) kilograms.
We can standardize the sample mean to find the probability that it would be greater than 66.7 kilograms. The standardized value for 66.7 is (66.7 - 66) / (3/sqrt(123)) = 2.3094.
Using a standard normal distribution table, we find that the probability of a standard normal variable being greater than 2.3094 is approximately 0.0104.
Therefore, the probability that the sample mean would be greater than 66.7 kilograms is approximately 0.0104, rounded to four decimal places.
Step-by-step explanation:
Guys I need help with this question. I need ASAP
The total amount of the finance charge is $328.11
Calculating the total amount of the finance chargeGiven that, we have the following readings from the question
Amount = $3542.18Months = 12Finance rate = 20%Using the table as a guide, we have rate to calculate the finance charge to be
Rate = 0.09263
The total amount of the finance charge is then calculated as
Total amount = Amount * Rate
By substitution, we have
Total amount = $3542.18 * 0.09263
Evaluate the products
So, we have
Total = $328.11
Hence, the total is $328.11
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In how many different ways can five women and three men stand in a line if no two men stand next to each other
There are 24,000 different ways to arrange five women and three men in a line if no two men stand next to each other.
If no two men can stand next to each other, we can first arrange the women in the line, and then insert the men in the spaces between the women.
There are 5! ways to arrange the 5 women in the line.
We can visualize the 5 women standing like this:
W W W W W
To ensure that no two men stand next to each other, we need to insert the 3 men into the 4 spaces between the women. We can use the stars and bars method to count the number of ways to do this.
We can represent the spaces between the women with 4 bars:
| | | | |
To insert the 3 men into these spaces, we need to place 3 stars in these 4 spaces. We can use the stars and bars formula to calculate the number of ways to do this:
C(3 + 4 - 1, 3) = C(6, 3) = 20
So there are 20 ways to arrange the 3 men in the spaces between the 5 women.
Therefore, the total number of ways to arrange 5 women and 3 men such that no two men stand next to each other is:
5! × 20 = 24,000
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Bd=16 and ac is the perpendicular bisector of bd. 2x-14 37-x d 2y-2 3 y=[?] enter
The value of y from the given expression is 5
Perpendicular Bisector
Given:
BD = 16
BC = 2y - 2
CD = y + 3
Since AC is a perpendicular bisector of BD:
BC = CD
2y - 2 = y + 3
2y - y = 3 + 2
y = 5
Hence, the value of y from the given expression is 5
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What factor could you pull out of 10x AND 5?
2
x
10
5
WILL GIVE BRAINLY
Hi! I hope you're enjoying your day!
The common factor of 10x and 5 is
5.
What is a factor?
It's a number that a number is evenly divisible by.
Example: 2 is a factor of 10, because 10 is evenly divisible by 2.
Also, it may be tempting to say, "Well, 2 is the common factor!"
And that's not true in this case, because 5 isn't divisible by 2.
x is also not a common factor; 5 is a constant, it doesn't have any variables next to it.
Hence, the factor is
\(\boxed{\boxed{\bold{5}}}\)
Hope everything is clear.
If you have any questions, please comment.
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From a prior national study, we are able to infer that the probability of a high school student going to college, when the parents make over $75,000 per year, is about 0.60. assume that toms river has 125 graduating seniors next year, and all the parents are assumed to make over $75,000. if six students are randomly selected, what is the probability that less than two of them will actually go to college?
The probability of less than two students going to college if six students are randomly selected from a school of 125 graduating seniors, and all the parents make over $75,000 per year is 0.0014 or 0.14%.
Given, Probability of a high school student going to college, when the parents make over $75,000 per year is 0.60.The total number of graduating seniors is 125.And, six students are randomly selected.
Let X be the number of students who go to college.If we assume that each student is independent of each other, then the probability that a student goes to college is 0.60, and the probability that a student does not go to college is 1 - 0.60 = 0.40.
Then the probability mass function of X is given by,\(P(X = k) = nCk * pk * (1 - p)n - kwhere n = 6, k = 0,1.P(X < 2) = P(X = 0) + P(X = 1) = (6C0 * 0.6^0 * 0.4^6) + (6C1 * 0.6^1 * 0.4^5) = (1 * 1 * 0.01024) + (6 * 0.6 * 0.32768) = 0.0014\)or 0.14%.Therefore, the probability that less than two students will actually go to college is 0.0014 or 0.14%.
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i need help asap! anyone know this?
Answer:
1 = 0
12x12 = 4
100=1
I think the last one is also 1
Step-by-step explanation:
Mia buys 4 pens and 5 rubbers for £5.75.
Elise buys 1 pen and 4 rubbers for £3.5.
Work out the cost of one pen and one rubber.
Answer:
one pen costs 0.5 euros
one rubber costs 0.75 euros
Step-by-step explanation:
4p+5r=5.75
p+4r=3.5
-4r. -4r
p=3.5-4r
4(3.5-4r)+5r=5.75
14-16r+5r=5.75
14-11r=5.75
-14. -14
-11r=-8.25
r=0.75
One rubber cost 0.75 euros
Now to find cost of one pen we just fill in what we know
p+4(0.75)=3.5
p+3=3.5
-3. -3
p=0.5
1 pen cost 0.5 euros
Hopes this helps please mark brainliest
What is the average rate of change of the function from x=1 to x=3?
Answer:
3
Step-by-step explanation:
Solve x/3 = 9.
anyone wanna help lol?
Answer:
x=27
Step-by-step explanation:
Answer:
The answer would be 27
Step-by-step explanation:
Times three by nine to get the value of x.
A bodybuilder consumed 4,400 calories yesterday. Today, he consumed 3,600 calories.
What is the percent decrease in number of calories consumed?
Answer:
4400 - 3600 = 800
Decrease = 800 Calories
Original value was 4400 Calories.
After Rounding off,
Decrease percentage will be 18 %
Step-by-step explanation:
hope this helps