Answer:
3 is the common factor
Step-by-step explanation:
3 x 3 =9
3 x 4= 12
3 x 5 =15
3 x 6 =18
hope it helps
Answer:
Factors for 9: 1, 3, and 9
Factors for 12: 1, 2, 3, 4, 6, and 12
Factors for 15: 1, 3, 5, and 15
Prime Factors for 9: 3 and 3
Prime Factors for 12: 2, 2, and 3
Prime Factors for 15: 3 and 5
GCF = 3
pls help. ;0 This is for iready.
Answer:
10.6 ounces
Step-by-step explanation:
1. Divide the total spent by the cost per ounce to get number of ounces bought.
2.65 ÷ 0.25 = 10.6 ounces
Pablo randomly picks three marbles from a bag of seven marbles (four red ones, two green ones, and one yellow one).
How many outcomes are there in the sample space?
How many outcomes are there in the event that all of the marbles he picks are red?
Answer:
354Step-by-step explanation:
You want to know the number of outcomes in the sample space when 3 marbles are chosen from 7. If four are red marbles, you want to know the number of outcomes when all chosen are red.
OutcomesThere are C(7,3) = 7!/(4!·3!) = 35 ways to choose 3 marbles from 7. Given that there are different colored marbles involved, not all of these outcomes are unique.
There are 35 possible outcomes.
3 RedThere are C(4, 3) = 4 ways to choose 3 red marbles from 4 red marbles.
There are 4 possible outcomes with all red marbles.
__
Additional comment
The 35 possible outcomes are ...
(RRR) - 4, (RRG) - 12, (RRY) - 6, (RGG) - 4, (RGY) - 8, (GGY) - 1
<95141404393>
What is the answer to 1/3 + -5/6?
Please help me fast. Trying to figure this out. Answer a-C. You don’t need to explain
Imani spent a third of her savings on airfare for a vacation. She then spent another $300 on hotels. If she has $250 left for meals and souvenirs, with how much did she have in savings before the trip?
The amount the she had in her savings before the trip was $825
Calculating amountFrom the question, we are to calculate how much Imani has in her savings before the trip
Let the amount she has in her savings before the trip be x
From the given information,
"Imani spent a third of her savings on airfare for a vacation"
That is,
She spent (1/3)x
The amount remaining after this time will be x - (1/3)x = (2/3)x
"She then spent another $300 on hotels"
The amount remaining after this time will be (2/3)x - $300
"If she has $250 left for meals and souvenirs"
That is,
(2/3)x - $300 = $250
Now, solve for x
(2/3)x - $300 = $250
(2/3)x = $250 + $300
(2/3)x = $550
x = $550 × 3/2
x = $825
Hence, the amount the she had in her savings before the trip was $825
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Z(z + 2) = (z + 6)(z - 6)
z=
4 more than 3 times a number is equal to 6 more than 2 times the number
Answer:
x=2
Step-by-step explanation:
3x+4=2x+6
3x=2x+2
x=2
From the top of abuilding, Cecilia finds that the angle of depression of a table on the ground is 30 degrees. If the table is 40 m from the base of the building, find the height of the building
The height of the building is 23.09m.
Let the height of the building be "h".The distance between the table and the base of the building is 40 m.From the top of the building, the angle of depression of the table on the ground is 30°.The angle of depression is the angle formed by the horizontal line and the item as seen from the horizontal line. It is mostly used to calculate the distance between two objects where the angles and distance from the ground are known.We can also say that, from the table, the angle of elevation of the top of the building is 30°.For a better visualization of the problem, see the image attached below.Apply trigonometry.Tan(30°) = h/401/√3 = h/40h = 40/√3h = 23.09mTo learn more about angles, visit :
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please help will give Brainly look at the picture’
Answer:
Step-by-step explanation:
The minimum is the smallest value in a data set.
Ordering the data from least to greatest, we get:
1 2 3 5 6 7 9 11 12 13 14 16 17 19 20
So the minimum is 1
The first quartile (or lower quartile or 25th percentile) is the median of the bottom half of the numbers. So, to find the first quartile, we need to place the numbers in value order and find the bottom half.
Quartile 1 is 5,
1 2 3 5 6 7 9 11 12 13 14 16 17 19 20
The first half is
1 2 3 5 6 7 9, the median of these numbers is 5 so Quartile 1 = 5
The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.
The median is 7, 1 2 3 5 6 7 9 11 12 13 14 16 17 19 20
The third quartile (or upper quartile or 75th percentile) is the median of the second half of the numbers. So, to find the third quartile, we need to place the numbers in value order and find the upper half.
Quartile 3 is 16,
1 2 3 5 6 7 9 11 12 13 14 16 17 19 20
The upper half is
12 13 14 16 17 19 20, the median of these numbers is 16 so Quartile 3 = 16
The maximum is the greatest value in a data set.
Ordering the data from least to greatest, we get:
1 2 3 5 6 7 9 11 12 13 14 16 17 19 20
So, the maximum is 20.
Which step is included in the graph of the function f(x)=[x-1] ?
O y=-5 for-4≤x <-3
O y=-2 for -2
Oy=-2 for 2
O y=-5 for -4
The step which is included in the graph of the function is Option(a)
y=-5 for -4≤ x <-3.
What is the greatest integer function?A function that yields an integer that is closest to the input real number is said to be the greatest integer function. The step function is another name for it. When rounding a number, the greatest integer function chooses the integer less than or equal to a given number. It is symbolized by the letter [x] where x can represent any number.The greatest integer function has R as its domain and Z as its range.From the properties of the greatest integer function y = [x], we know that
y = 0 for, 0 ≤ x < 1
y = -1 for, - 1 ≤ x < 0
y = -2 for, - 2 ≤ x < -1
Here,we are given a greatest integer function f(x) or y =[x-1]
Hence, the step which is included in the graph of the function is
y=-5 for -4 ≤ x <-3.
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Neon (Ne), hydrogen (H), helium (He), and Carbon (C) are examples of...
a. Compounds- you can tell because they all have chemical formulas
b. Mixtures- because they don't have definite compositions
c. Elements- you can tell because they can be found on the periodic table
Neon (Ne), hydrogen (H), helium (He), and Carbon (C) are examples of; C: elements you can tell because they can be found on the periodic table
What are the chemical elements?
Elements are pure substances which are composed of only one type of atom. Compound are substances which are formed by two or more different types of elements that are united chemically in fixed proportions.
Now, Neon (Ne), hydrogen (H), helium (He), and Carbon (C) are examples of elements. This is because they are all composed of only one type of atom and they can as well be found in the periodic table that contains only elements.
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5 divided by the sum of 5 and a number
Answer: 5/(5+n)
Step-by-step explanation:
Let "a number" be represented by "n"
[tex]5/(5+n)[/tex]
Describe the meaning of |−36|.(1 point) the absolute value of negative 36 the absolute value of negative 36 one divided by negative 36 one divided by negative 36 the absolute value of 36 the absolute value of 36 negative 36 minus zero
The meaning of |-36| is the absolute value of negative 36.
We know that, the absolute value of any real number m is the positive value of m.
For any ±m ∈ R,
| ±m | = m
The absolute value of a number is also know as modulus of number.
In this question we have been given an absolute value |-36|
|-36| = 36
So, the meaning of |-36| would be,
- the absolute value of negative 36
Therefore, the meaning of |-36| is the absolute value of negative 36.
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A health food store was charging $4.10 for a small salad but raised the price 8%. The new price after the increase is $4.43.Enter an expression to show how the new price was calculated.
Answer: $4.10*0.08%=0.33
Step-by-step explanation:
Susan is buying supplies for a party. If spoons only come in bags of 8 and
forks only come in bags of 6, what is the least number of spoons and the
least number of forks she can buy so that she has the same number of
each?
Answer:
24
Step-by-step explanation:
8. 6
16. 12
24. ✔️ 18
32. 24✔️
40. 30
48. 36
56. 42
64. 48
72. 54
80. 60
A fish tank at an aquarium has a volume of 648 cubic feet and a depth of 8 feet. If the base of the tank is square, what is the length of each side of the tank?
The length of each side of the tank is 9 feet.
How to calculate the value?Height = 8
Volume = 648
Let y be the cross sectional area
Therefore, 648 = 8y
y² = 648/8
y² = 81
Therefore, y = ✓81
y = 9
The length of each side of the tank is 9 feet.
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Find 3 consecutive odd integers such that the sum of 2 times the first and the last term is equal to 5 times the middle integer.
The 3 consecutive odd integers are -3, -5 and -7
Linear functionLet the 3 consecutive odd integers be 2x-1, 2x+1 and 2x+3
If the sum of 2 times the first and the last term is equal to 5 times the middle integer, then;
2(2x-1)+2x+3 = 5(2x+1)
Expand
4x-2 + 2x +3 = 10x+5
6x +1 = 10x + 5
6x - 10x = 5 - 1
-4x = 4
x = -1
Determine the numbers
First number = 2(-1) - 1 = -3
Second number = -5
Third number = -7
Hence the 3 consecutive odd integers are -3, -5 and -7
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please help me with this problem
Using the Poisson and the normal distributions, the probabilities are given as follows:
a) 0.0895 = 8.95%.
b)
Without correction, P(X < 8) = 0.1251 = 12.51%.
With continuity correction, P(X < 8) = 0.0968 = 9.68%.
c)
Without correction, P(16 < X < 24) = 0.1248.
With correction, P(16 < X < 24) = 0.1558 = 15.58%.
What is the Poisson distribution?In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successese = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval.In this problem, the mean is given by:
[tex]\mu = 12[/tex]
Hence the probability that X is less than 8 is given by:
P(X < 8) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7).
In which:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-12}12^{0}}{(0)!} = 0.00001[/tex]
...
[tex]P(X = 7) = \frac{e^{-12}12^{7}}{(7)!} = 0.04368[/tex]
The middle values are found applying the same formula, and adding them, the probability is given by:
P(X < 8) = 0.0895 = 8.95%.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The Poisson distribution can be approximated to the normal with [tex]\sigma = \sqrt{\mu}[/tex]Without continuity correction, the probability that X is less than 8 is the p-value of Z when X = 8, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{8 - 12}{\sqrt{12}}[/tex]
Z = -1.15
Z = -1.15 has a p-value of 0.1251.
Hence:
Without correction, P(X < 8) = 0.1251 = 12.51%.
With continuity correction, as the Poisson distribution is discrete and the normal is continuous, the probability is P(X < 7.5), which is the p-value of Z when X = 7.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7.5 - 12}{\sqrt{12}}[/tex]
Z = -1.3
Z = -1.3 has a p-value of 0.0968.
Hence:
With continuity correction, P(X < 8) = 0.0968 = 9.68%.
For item c, without correction, the probability is the p-value of Z when X = 24 subtracted by the p-value of Z when X = 16, hence:
X = 24:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{24 - 12}{\sqrt{12}}[/tex]
Z = 3.46
Z = 3.46 has a p-value of 0.9997.
X = 16:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{16 - 12}{\sqrt{12}}[/tex]
Z = 1.15
Z = 1.15 has a p-value of 0.8749.
0.9997 - 0.8749 = 0.1248.
Hence:
Without correction, P(16 < X < 24) = 0.1248.
With correction, the probability is the p-value of Z when X = 23.5 subtracted by the p-value of Z when X = 15.5, hence:
X = 23.5:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{23.5 - 12}{\sqrt{12}}[/tex]
Z = 3.32
Z = 3.32 has a p-value of 0.9996.
X = 15.5:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{15.5 - 12}{\sqrt{12}}[/tex]
Z = 1.01
Z = 1.01 has a p-value of 0.8438.
0.9996 - 0.8438 = 0.1558.
Hence:
With correction, P(16 < X < 24) = 0.1558 = 15.58%.
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To charter a bus to carry students to New York City, the cost is $100 to make the booking , plus $25 for each student who is a passenger on the bus. Then, the cost function C(x) giving the cost if x students are ( what is m and b) mxtb
The value of m is $25 and value of b is $100, the cost is $300 and the number of students is 12.
As per the given relation in the question, we see that b is calculated once and m is calculated based on the variable value x, which is the number of students. Hence, for correct calculation, value of m is $25 and value of b is $100.
The cost if 8 students are passengers will be calculated by keeping the value of x and other constants as per the above answer.
Cost = 25×8 + 100
Cost = 200 + 100
Cost = $300
Number of students will again be found as the value of x, by keeping the values as specified above.
400 = 25x + 100
25x = 400 - 100
25x = 300
x = 300 ÷ 25
x = 12
Hence, value of m is $25 and value of b is $100, the cost is $300 and the number of students is 12.
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The complete question is attached in figure.
10. Alice bought 2.3
pounds of apples for $2.99
per pound. How much did
she spend on apples?
Answer:
2.3(2.99)=$6.877
Step-by-step explanation:
Multiply the pounds (2.3) by the price of apples per pound.
Hope this helps! :)
Answer:
2.3(2.99)=$6.877
Step-by-step explanation:
Hope this helps!
A school is organizing a weekend trip to a nature preserve. For each student, there is a $60 charge, which covers food and lodging. There is also a $40 charge per student for the bus. The school must also pay a $30 cleaning fee for the bus. If the total cost of the weekend is $4,030, how many students will be going on the trip?
31 students
40 students
41 students
66 students
The number of students who will be going on the trip is B. 40 students.
What is a mathematical expression?A mathematical expression is a rule-based set of numbers, variables, and mathematical operations performed to compute the output value.
The mathematical operations used to solve mathematical expressions include additions, subtractions, divisions, and multiplications.
Data and Calculations:The total of the weekend trip = $4,030
The cost of cleaning for the bus = $30
The cost of food and lodging per student = $60
The bus charge per student = $40
Total cost per student = $100 ($60 + $40)
The total cost, y = 4,030 - 30 - 100x
The number of students = x
x= (4,030 - 30)/100
= (4,000/100)
= 40.
Thus, the number of students who will be going on the trip is B. 40 students.
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Find the mean, median, and mode of the following data. If necessary, round to one more decimal place than the largest number of decimal places given in the data. Rate of Fatal Alcohol Impaired Car Crashes per 100 Million Vehicle Miles of Travel 0.79 0.51 0.52 0.51 0.68 0.65 0.79 0.37 0.79 0.29 0.57 0.34 0.46 0.62 0.63 0.77 0.57 0.35 0.30 0.58
Mean = 0.5545, Median =0.57, Mode = 0.79 of the following data.
What is mean median and mode?
A data set's mean (average) is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set. When a data collection is ranked from least to greatest, the median is the midpoint. The number that appears most frequently in a data set is called the mode.For the given data 0.29, 0.3, 0.34, 0.35, 0.37, 0.46, 0.51, 0.51, 0.52, 0.57, 0.57, 0.58, 0.62, 0.63, 0.65, 0.68, 0.77, 0.79, 0.79, 0.79.
The mean is calculated as:
Mean = (0.29 + 0.3 + 0.34 + 0.35 + 0.37 + 0.46 + 0.51 + 0.51 + 0.52 + 0.57 + 0.57 + 0.58 + 0.62 + 0.63 + 0.65 + 0.68 + 0.77 + 0.79 + 0.79 + 0.79)/20
= 11.09/20
Mean = 0.5545
Median is the middle value of the data set and since the sample size is even which is 20 hence the median is found between n/2 and n/2 +1 which is 10th value and 11th value when the data set is arrange in ascending order.
so, the 10th value is 0.57 and 11th value is also 0.57 so, the median is (0.57 + 0.57)/2 = 0.57
Median:
The median is the most occuring value in the dataset and as we can see that 0.79 appeared 3 times hence 0.79 is Mode.
So, finally:
Mean = 0.5545
Median =0.57
Mode = 0.79
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I need help with this
Given that
m∠1 = (x+38)° andm∠2 = 3x°To find
The angles measures.So, according to the question
We have,
m∠1 = (x+38)° andm∠2 = 3x°∵ From figure m∠1 and m∠2 divided 90° into two parts
∴ m∠1 + m∠2 = 90° ----------------------(1)
Now putting the values of m∠1 and m∠2 in equation (1)
m∠1 + m∠2 = 90° ----------------------(1)
(x+38)° + 3x° = 90°
x°+38° + 3x° = 90°
4x° = 90° - 38°
4x° = 52°
x° = (52/4)°
x° = 13°
So,
m∠1 = (x+38)°
= (13+38)°
m∠1 = 51°
And
m∠2 = 3x°
= (3 × 13)°
m∠2 = 39°
The angles are
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If f(x) = 3x +4, find f'(x)
what is 83.1 divided by 5
Answer: The answer is 16.62
How to find the least common multiple of three numbers
Answer:
The way I would best say is listing all the multiples then circle all the ones that are alike then find the lowest one they all have.
Example
Find the common multiples of 12,15,20
Multiples of 12:12, 24, 36, 48, 60, 72, 84, 96, 120……….
Multiples of 15:15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405,……..
Multiples of 20:20, 40, 60, 80, 100, 120, 140, 160, 180, and 200.
Step-by-step explanation:
They all have 60 so your lcm is 60
Find the (perpendicular) distance from the line given by the parametric equations
x(t)= -2-6t
y(t)= 1-3t
z(t)= -5+7t
to the point (-8,9,8)
Answer:
[tex]\sqrt{(-\frac{806}{94}+8)^2+(-\frac{215}{94}-9)^2+ (-\frac{251}{94}-8)^2}[/tex] Whatever this number may be
Step-by-step explanation:
The distance will be on the plane containing the point, and perpendicular to the line - which exists as long as the point doesn't sit on the line, but in that case our distance will simply be zero. Good news, since the line is given in parametric equation, the equation of the plane is easy to write by simply computing the dot product between the vector generating the line - or any multiple of it! - and the vector joining a random point x y z of the space with our given point, and setting it equal to zero. The equation of our plane is thus
[tex]6(x-(-8)) + 3(y-9) -7(z-8) = 0\\6(x+8)+3(y-9)-7(z-8)=0[/tex]
We could multiply now or later, doesn't matter, so let's wait. Now, we need to know when the line passes through the plane, so let's plug the (parametric) coordinate of the line and let's see for which value of t that happens:
[tex]6(-2-6t+8) +3(1-3t -9) -7(-5+7t-8) =0\\6(6-6t) -3(8+3t)+7(13-7t)=0\\36-36t-24-9t+91-49t = 0\\t=103/94[/tex]
Found this value of t, we can use it to find the coordinate of the point in common between the line and the plane:
[tex](-2-6\frac {103}{94};1-3\frac {103}{94}; -5+7\frac {103}{94}) = (-\frac{806}{94};-\frac{215}{94};-\frac{251}{94})[/tex]
At this point it's simply a matter of calculating the distance between two points in 3D space, given by the usual [tex]\sqrt{\Delta x^2+\Delta y^2+\Delta z^2}[/tex], whatever abomination of a number it might become:
[tex]\sqrt{(-\frac{806}{94}+8)^2+(-\frac{215}{94}-9)^2+ (-\frac{251}{94}-8)^2}[/tex]
At this point is a simple exercise in number crunching which I refuse to entertain more - but please double check all calculation above in case I didn't notice something.
PLS HELP!!! algebra 2.
How do I express 5 gallons 5 quartz 48 ounces in standard notation?
880 oz
Step-by-step explanation:
Simon says that 7 x 2 is equal to 8 x 1 because both sets of factors add to 9. Do you agree with Simon's reasoning? Explain why or why not.
Answer:
No, I do not agree with Simon's reasoning.
Step-by-step explanation:
7*2=14
8*1=8
BUT
7+2=9
8+1=9
YET
Simon isn't properly solving the equation with the right basic operation of arithmetic. He must multiply, not use addition.
Hope this helps.