Answer:
combination
Step-by-step explanation:
permutation is when there is a specific order, whereas combination is when they are not in any specific pattern (in this case, 5/13 students, not in any particular order. just 5.
I don't want to explain circular permutation right now (it's difficult to explain), but it's not it from my knowledge
The number of ways selecting 5 out of the 13 students will ride in a car instead of a van is 1287.
The way of selecting 5 out of the 13 students will ride in a car instead of a van is evaluated by the combinations.
We consider the group of 5 students can be selected to ride in a car instead of a van.
Thus, for selecting a random group of the data from the universal data, we have to apply combinations to evaluate it.
Therefore, the ways can be formulated as:
[tex]^{13}C_5=\dfrac{13!}{5! \times 6!}\\=1287\;\rm{ways}[/tex]
Thus, the number of ways selecting 5 out of the 13 students will ride in a car instead of a van is 1287.
To know more about the combinations, please refer to the link:
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Leila and Jo are two of the partners in a business. Leila makes $4 in profits for every $5 that Jo makes. If Jo makes $60 profit, how much profit does Leila make?
Answer:
Leila would make a profit of $48
Step-by-step explanation:
~ Knowing that there is some sort of proportion that can be formed through Leila and Jo's profit, we could form even a proportionality to compute the profit Leila makes given jo's profit of $60 ~
If is is known that Leila: Jo, 4: 5, we could form such a proportion:
4 5 ⇒ where x - Leila's profit knowing Jo's profit of $60
x 60
Now let us solve for x, through cross multiplication:
5x = 60 * 4,
5x = 240,
x = profit of $48
what is the 15th n term of the sequence 22 18 14 10 6
Answer:
-34
Step-by-step explanation:
All you have to do is subtract by 4 until you count to 15 which then leads you to the number -34
How many fourths are in 2 1/2?
Answer:
There are 10 fourths.
Step-by-step explanation:
There are four 1/4ths in 1. So 2.5 x 4 = 10.
Answer:
2 1/2 is the same as 5/2 which is the same as 10/4, so 10 is the answer :)
Step-by step solution
7(5+2x)+x=65 someone please help me with this equation
Answer:
x=2
Step-by-step explanation:
7(5+2x)+x=65
35+14x+x=65
35+15x=65
15x=65-35
15x=30/15
x=2
Answer:
x=2
Step-by-step explanation:
7×5=35
7×2x=14x+=65
so the equation would be
35+14x+x=65
add the variables together so:
35+15x=65
subtract 35 from 65 which makes it 30 so:
15x=30
now divide both sides by 15
which makes the anwer x=2
The ratio of cars to trucks passing the intersection of Reyes Adobe and TO Blvd is 7:2. If 108 vehicles pass this intersection, how many are cars?
Answer:
84 cars
Step-by-step explanation:
the the ratio is 7 to 2. There were 108 vehicles. 108/ 9=12
12 x 7= 84.... or at least that's how I think of it.
Find the smallest number to be Find the smallest number to be added to 2345 to get the nearest perfect square.
Answer:
48^2 =2304 < 2345 < 2401 = 49^2
=> Smallest number should be: 2401 - 2345 = 56
Hope this helps!
:)
Answer:
56
Step-by-step explanation:
sqrt(2345) = 48.425...
Nearest integer is 49
So, the nearest perfect is 49²
49² = 2401
To be added:
2401 - 2345
56
Simplify. 6x+3−(x+1) =
Answer:
5x +2
Step-by-step explanation:
6x+3−(x+1) =
Distribute the minus sign
6x +3 -x -1
5x +2
Answer:
[tex]5x + 2[/tex]
Step-by-step explanation:
[tex]6x + 3 - (x + 1) \\ 6x + 3 - x - 1 \\ = 5x + 2[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Someone help me pleaseeee
Answer: x=44°
explanation: because the angles in a triangle add up to 180° and since the latter or whatever goes straight up it is 90° and the other angle is 46° so 180=90+46+x.
Subtract 90 from both sides of the = and it becomes 90=46+x.
Then you subtract 46 on both sides and you get 44=x
A manufacturer claims that its cleaning product is best because over half of the cleaning services surveyed used the product. Which BEST decreases the validity of the claim? A.Only 50 cleaning services were surveyed. B.Cleaning services were selected at random. C.A well-known company conducted the survey. D.Only one cleaning product was asked about in the survey.
Answer:
D. Only one cleaning product was asked about in the survey.
Any given company can use more than one cleaning product or even use a combination of different cleaning products. The question was not specific enough, since it should have probably asked which cleaning products are used and which ones are used more frequently.
Step-by-step explanation:
the other options are wrong because:
A. Only 50 cleaning services were surveyed. ⇒ This actually would increase the validity of the claim because it satisfies the the condition for a valid confidence interval [np and n(1 - p) are larger than 10]-B. Cleaning services were selected at random. ⇒ This actually would increase the validity of the claim. C. A well-known company conducted the survey. ⇒ This actually would increase the validity of the claim.the radius of a circle with a circumstance of 28 pie into units
Answer:
The radius is 14
Step-by-step explanation:
The circumference of the circle is 28 pi
C = 2* pi *r where r is the radius
28 pi = 2 pi *r
Divide each side by 2 pi
28 pi/2pi = 2 pi *r/2pi
14 = r
Help with this question please!!
Answer:
Width = 160
Length = 110
Step-by-step explanation:
Perimeter is the sum of all the sides
They tell you that the length is 50 m shorter than the width
so L = W - 50
W = W
540 = W + W + W-50 + W-50
540 = 2W + 2(W-50)
540 = 2W + 2W - 100
540 = 4W - 100
640 = 4W
W = 160
L = 160 - 50
L = 110
Answer:
Length: 110 m
Width: 160 m
Step-by-step explanation:
The formula for perimeter of a rectangle is P = 2L + 2W.
We can write the length in terms of width if width is w:
Length: w - 50
Width: w
Plug the values into the formula.
540 = 2(w - 50) + 2w
540 = 2w - 100 + 2w
540 = 4w - 100
640 = 4w
w = 160
find length by subtracting 50 from the width
160-50=110
Therefore, the length is 110 and the width is 160.
HELPP MEE FASTT I HAVE LESS THAN 10 MIN
Farrah borrowed $155 from her brother. She has already paid back $15. She plans to pay back $35 each month until the debt is paid off.
Which describes the number of months it will take to pay off the debt? Select three options.
x + 15 + 35 = 155
35 x + 15 = 155
35 x = 155 minus 15
It will take 8 months to pay off the debt.
It will take 4 months to pay off the debt.
Answer:
35x + 15 = 155
35x = 155 minus 15
it will take 4 months to pay off the debt.
Hope this helps. Mark brainliest please!
Answer:
35x + 15 = 155
35x = 155 - 15
It will take 4 months to pay off debt
Step-by-step explanation:
Its mental so idk but trust me <3
A company is designing a new cylindrical water bottle. The volume of the bottle will be 187 cmcubed. The height of the water bottle is 7.3 cm. What is the radius of the water bottle? Use 3.14 for pi.
Answer:
2.86cm
Step-by-step explanation:
Step 1:
Data obtained from the question. This includes the following:
Volume (V) = 187cm3
Height (h) = 7.3cm
Pi (π) = 3.14
Radius (r) =..?
Step 2:
Determination of the radius of the cylindrical water bottle.
The radius of the cylindrical water bottle can be obtained as follow:
V = πr^2h
187 = 3.14 x r^2 x 7.3
Divide both side by 3.14 x 7.3
r^2 = 187 / (3.14 x 7.3)
Take the square root of both side
r = √[187 / (3.14 x 7.3)]
r = 2.86cm
Therefore, the radius of the cylindrical water bottle is 2.86cm
Michael has three quarters two dimes + 3 nickels in his pocket he randomly draws two coins from his pocket at one time and they are both times he says the probability of that occurring as 1 out of 4 because two of the eight coins are dimes is he correct explain
Answer:
He is correct
Step-by-step explanation:
Here, we have 3 types of coins which are;
3 quarters
2 dimes
3 nickels
Now, we want to obtain the probability that if two coins are selected, both will be dimes.
Now, this probability is kind of delicate. This is because he is selecting only at a single time, the two coins.
Thus, the probability of the two coins coming out at the same time and they are both dimes will be 2/8 = 1/4
This shows that she is correct.
Kindly note that our answer is 1/4 because she is making the selection at the same time and not once at a time
Is it possible to triangulate a quadrilateral and get more or fewer than two triangles? Determine whether this investigation verifies that the sum of the interior angles of a quadrilateral is always 360°.
Answer:
No.
Step-by-step explanation:
It’s not possible. No matter what type of quadrilateral it is, there will only be two triangles formed, verifying that the sum of the interior angles of a quadrilateral is always 360°.
It’s not possible to triangulate a quadrilateral and get more or fewer than two triangles. It is verifies that the sum of the interior angles of a quadrilateral is always 360°.
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
It’s not possible to triangulate a quadrilateral and get more or fewer than two triangles. No matter what type of quadrilateral it is, there will only be two triangles formed.
We know that The sum of internal angle of a quadrilateral is 360°.
The sum of angle in a triangle is 180°. By Adding the two triangle angle together, we will get the sum as 360°.
The Sum of the interior angle of a polygon = 180(n-2) .
It is verifies that the sum of the interior angles of a quadrilateral is always 360°.
Learn more about quadrilateral;
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easy geometric shapes question!
Answer:
Cylinder
Step-by-step explanation:
The given geometric shape is of a cylinder.
Answer:
Cylinder
Step-by-step explanation:
The shape will make a cylinder if put together.
Mary's dog weighs 185 pounds. Her dog needs to lose between 9 and 15 pounds. Between what two percentages, rounded to the nearest whole numbers, should Mary's dog lose weight with respect to its current weight of 185 pounds. Select your answers from the drop-down lists.
Answer:
5-8% of the weight
Step-by-step explanation:
The dog needs to lose a weight within the values 9-15 pounds
To answer this question, what we just need to do is to know the percentage of 185 pounds that is 9 and the percentage of 185 pounds that is 15
The percentage decrease can be calculated using the formula;
(difference)/old value * 100%
For the 9 pound loss, we have ;
9/185 * 100% = 4.86 which is approximately 5%
For the 15 pound loss, we have;
15/185 * 100% = 8.11% which is approximately 8%
Thus, the dog is losing between 5-8% of its weight
What is the probability of rolling a number cube and getting a number greater than four?
Can you please help me
Answer:
the length of the car in Ivan's drawing is 12 cm, or the second option.
Step-by-step explanation:
Scale drawing length : actual car length = 2 cm:1 cm
Since it's the same car, we know that the length would be 6 cm.
Therefore, we can set up a proportion and solve for x.
2/1=x/6
x=12
Therefore, the length of the car in Ivan's drawing is 12 cm, or the second option.
I hope this helped and have a good rest of your day!
find out three rational numbers lying between 2/3 and 3/4
PLEASE HELP...... I NEED TO SUBMIT IT NOW......
Answer:
33/48, 34/48, 35/48
Step-by-step explanation:
2/3 is equal to 32/48 and 3/4 is equal to 36/48. The fractions in between them are all rational numbers. Hope this helped <3
s= ut + 1/2 at x2
u=10
a=-2
t=1/2
work out the value of s
Answer:
s = 4 3/4.
Step-by-step explanation:
The formula is s = ut + 1/2 at^2
so s = 10^1/2 + 1/2 * -2 * (1/2)^2
s = 5 - 1/4
= 4 3/4.
You spin the spinner below once. What is the probability that the arrow will land on 3
Answer:
how many numbers are there and if there is more of the same number then that will be ur probability
Step-by-step explanation:
What type of sequence is 0,12,24,36,48 geometric or arithmetic?
Answer:
Arithmetic
Step-by-step explanation:
Since each number is 12 larger than the last, this is an arithmetic sequence. A geometric sequence is one in which each next number in the sequence is the previous one multiplied by a certain set coefficient, while in an arithmetic sequence it's a certain number added. Hope this helps!
Answer:
It is arithmetic because to get from one term to the next, you add 12, and in an arithmetic sequence, you add/subtract a common difference to get from one term to the next. Hope this helps!
Mark has invested $300 at age 16 into a money market account earning 6%. How many times will Mark's investment double before age 52? What will his investment be worth? What would Mark's investment be if he had invested at age 28?
Answer:
A.3times
B.$1214.68
Step-by-step Explanation
A
Using compound interest formula
A=P(1+I)^n
A is the amount
P is the principal=$300
I is the interest=0.06
n is the time ( between 52 and 16years)=36years
A=300(1+0.06)^36
A=$2444.175
Which means 300 would have become
$2444.175 which is 8 folds.
That means it would have doubled 3times(2×2×2) at age of 52.
B. The time would change to (52-28)=24
Using compound interest formula
A=300(1+0.06)^24
A=$1214.68
Therefore his investment would have been $1214.68.
3. This table shows a linear relationship between the amount of water in a tank and
time.
time (minutes) water (gallons)
0 T| 30 G
5 T| 20 G
10T| 10 G
Which of these statements is true?
OD
A.The water in the tank is increasing at a rate of 2 gallons per minute.
B.The water in the tank is increasing at a rate of 10 gallons per minute.
C.The water in the tank is decreasing at a rate of 2 gallons per minute.
D.The water in the tank is decreasing at a rate of 10 gallons per minute.
OL
Answer:
c because 10gallons per min is to much
Step-by-step explanation:
The water in the tank is decreasing at a rate of 2 gallons per minute. Therefore, option C is the correct answer.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
The given table shows a linear relationship between the amount of water in a tank and time.
From the table we have (0, 30), (5, 20) and (10, 10).
Now, slope m=(20-30)/(5-0)
m= -2
Substitute (x, y)=(0, 30) and m=-2 in y=mx+c, we get
30=-10(0)+c
c=30
Now equation is y=-2x+30
Here, the water in the tank is decreasing at a rate of 2 gallons per minute.
Therefore, option C is the correct answer.
To learn more about the equation of a line visit:
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Please help will mark brainliest!!!
How would you describe the graph of the function at interval 3? Select all that apply.
image below
Answer:
B and E
Step-by-step explanation:
In the graph, the altitude represents Y axis while time represents the X axis. we can see that at interval 1 the function is dramatically decreasing. At Interval 2 the function is constant. At interval 3 the function is increasing but I can't say definitively if the slope is positive or negative. Hope this helped!
Three fifths of the sum of 13 and 6
Answer: 11.4
Step-by-step explanation:
change to numbers [tex]\frac{3}{5} (13+6)[/tex]
simplify [tex]\frac{3}{5} (19)\\11.4[/tex]
Which statement about the angle measure is true
Answer:
D
Step-by-step explanation:
each angle of the triangle is 95° and the second angle has to be in alphabetical order
The true statement is ∠BAC + ∠ABC = 95°
What is an angle?An angle is a figure formed by two rays or lines that share a common endpoint, called the vertex.
Angles can lie in a plane or be formed by the intersection of two planes or two curves. A reflex angle is an angle that is greater than 180 degrees but less than 360 degrees.
Given is a figure, we need to find the correct answer from the option,
We know that,
The sum of two opposite interior angles of a triangle is equal to the measurement of the exterior angle.
Therefore,
∠BAC + ∠ABC = ∠ACD
∠BAC + ∠ABC = 95°
Hence, the true statement is ∠BAC + ∠ABC = 95°
Learn more about angles, click;
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what is the answer of 24a-18b
Answer:
6(4a−3b)
Step-by-step explanation:
You have to factor out this expression, so i would recommend the UMBRELLA method.
Answer:
6(4a-3b)
Step-by-step explanation:
This is the answer because
find what number is divisible by both 24 and 18. The answer there is 6So then you write an equation that would equal 24a-18bTherefore since 24a is part one of the equation you would do what times 6 equals 24a. 6 times 4a=24aSo place four a in the parenthesis. Then find out what times 6 = -18bThe answer to that is -3b because a negative times a positive is always positive. So your final answer is 6(4a-3b)Imani sells shirts packed in boxes that are each 15in. x 10in. x 2in. Imani stacked 3 boxes and wrapped them with one piece of paper. How much paper did she use, not including overlap?
Answer:
She used 600 square inches of paper.
Step-by-step explanation:
Since the box are 15 in x 10 in x 2 in and are stacked on top of each other, they form a bigger rectangular prism with 15 in x 10 in x 6 in. In order to calculate how much paper she used, we need to calculate the surface area of this prism, this is done by using the following formulla:
surface area = 2*width*length + 2*width*height + 2*length*height
surface area = 2*15*10 + 2*15*6 + 2*10*6 = 300 + 180 + 120
surface area = 600 in².
She used 600 square inches of paper.
