Answer:
P43=4!(4–3)!=241=24 24 possible choices
Step-by-step explanation:
There are four choices you can make for the lead reindeer. For each possible choice, there are then three remaining you can choose to fly second, making 4×3=12 choices for the lead pair. For each possible choice there are two remaining reindeer to take up the back position, making 12×2=24 choices for the team of three.
This type of problem is called a permutation problem, and we write Pnr for the number of ways of choosing r items from n possibilities when the order of the items matters. In this case we are choosing 3 reindeer from 4 possibilities, and the order they appear in the flying line does matter, so the answer we want is P43. The general formula is Pnr=n!(n−r)!. For the answer we are looking for we therefore have:
P43=4!(4–3)!=241=24
Brainliest?
Emily has a spinner that has 5 equal sections: red, blue, green, purple, and orange. She spins the spinner 150 times. About how many times should Emily expect the spinner to land on either purple or orange? *
20 points
2
20
40
60
Answer:
60
Step-by-step explanation:
the height of both oblique and right prisms is ALWAYS
A) the perpendicular distance between the bases
B) the length of a lateral edge
C) longer than the altitude of the prism
D) drawn vertically
Answer:
Option A is correct.
The height of both oblique and right prisms is ALWAYS the perpendicular distance between the bases.
Step-by-step explanation:
Prisms are 3-D shapes that have two parallel faces (called bases) separated at some distance apart (the height of the prism) with the lateral face in between the two parallel bases.
For right prisms, the lateral face is a rectangle while it is a parallelogram for oblique prisms.
The height of a prism is the perpendicular distance between the two bases. In a right prism, the height is a lateral edge as this edge is equal to the perpendicular distance between the two bases.
In the case of the oblique prism, the height is the shortest line segment between the extended bases, the perpendicular distance between the two bases.
So, the height isn't always a length of a lateral edge, isn't always longer than the altitude of the prism and isn't always drawn vertically as the prism sometimes is pictured not resting on its bases, leading to the height drawn horizontally.
So, only option A is totally correct.
Hope this Helps!!!
What is the standard deviation of the data? Round to the nearest whole number.
Answer:
Where's the data?
Step-by-step explanation:
A survey of athletes at a high school is conducted, and the following facts are discovered: 68% of the athletes are football players, 26% are basketball players, and 23% of the athletes play both football and basketball. An athlete is chosen at random from the high school: what is the probability that the athlete is either a football player or a basketball player
Answer:
71% probability that the athlete is either a football player or a basketball player
Step-by-step explanation:
We solve this problem building the Venn's diagram of these probabilities.
I am going to say that:
A is the probability that an athlete is a football player.
B is the probability that an athlete is a basketball players.
We have that:
[tex]A = a + (A \cap B)[/tex]
In which a is the probability that an athlete plays football but not basketball and [tex]A \cap B[/tex] is the probability that an athlete plays both these sports.
By the same logic, we have that:
[tex]B = b + (A \cap B)[/tex]
23% of the athletes play both football and basketball.
This means that [tex]A \cap B = 0.23[/tex]
26% are basketball players
This means that [tex]B = 0.26[/tex]. So
[tex]B = b + (A \cap B)[/tex]
[tex]0.26 = b + 0.23[/tex]
[tex]b = 0.03[/tex]
68% of the athletes are football players
This means that [tex]A = 0.68[/tex]. So
[tex]A = a + (A \cap B)[/tex]
[tex]0.68 = a + 0.23[/tex]
[tex]a = 0.45[/tex]
What is the probability that the athlete is either a football player or a basketball player
[tex]A \cup B = a + b + (A \cap B)[/tex]
[tex]A \cup B = 0.45 + 0.03 + 0.23 = 0.71[/tex]
71% probability that the athlete is either a football player or a basketball player
Answer:
71%
Step-by-step explanation:
Applying Venn's diagram
probabilty that an athlete plays either football or basketball
P ( A ∪ B ) = a + b + ( A ∩ B ) equation 1
note:
P ( A ) = a + ( A ∩ B )
( A ∩ B ) = 23% = 0.23
a = P( A ) - 0.23 = 0.68 - 0.23 = 0.45
P ( B ) = b + ( A ∩ B )
b = P ( B ) - ( A ∩ B ) = 0.26 - 0.23 = 0.03
back to equation 1
P ( A ∪ B ) = 0.45 + 0.03 +( 0.23 )
= 0.48 + ( 0.23 ) = 0.71 = 71%
P( A ) = probability of football players
P ( B ) = probability of basketball players
a = probability of playing football but not basketball
b = probabilty of playing basketball but not football
I have to give the answer in by 8pm
Answer:
15
Step-by-step explanation:
TV = TU+UV
= 12 + 3
TV = 15
what is the answer to log100
Answer:
the answer is 2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Simplify this equation p+p+3 = 13*
O 2+p+ 2 = 13
O 2p+ 3 = 13
O
2p = 10
Answer:
P=3 hope this helps! Sorry if I get it wrong. Hope I get brainliest! :D
Step-by-step explanation:
Simplifying
3p + -1 = 5(p + -1) + -2(7 + -2p)
-1 + 3p = 5(p + -1) + -2(7 + -2p)
-1 + 3p = 5(-1 + p) + -2(7 + -2p)
-1 + 3p = (-1 * 5 + p * 5) + -2(7 + -2p)
-1 + 3p = (-5 + 5p) + -2(7 + -2p)
-1 + 3p = -5 + 5p + (7 * -2 + -2p * -2)
-1 + 3p = -5 + 5p + (-14 + 4p)
-1 + 3p = -5 + -14 + 5p + 4p
-5 + -14 = -19
-1 + 3p = -19 + 5p + 4p-1 + 3p = -19 + 9p
Solving
-1 + 3p = -19 + 9p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-9p' to each side of the equation.
-1 + 3p + -9p = -19 + 9p + -9p
Combine like terms: 3p + -9p = -6p
-1 + -6p = -19 + 9p + -9p
Combine like terms: 9p + -9p = 0
-1 + -6p = -19 + 0
-1 + -6p = -19
Add '1' to each side of the equation.
-1 + 1 + -6p = -19 + 1
Combine like terms: -1 + 1 = 0
0 + -6p = -19 + 1
-6p = -19 + 1
Combine like terms: -19 + 1 = -18
-6p = -18
Divide each side by '-6'.
p = 3
Simplifying
p = 3
The oblique rectangular prism below has a length of 6 cm, a width of 8 cm, and a height of 7 cm. An oblique rectangular prism has a length of 6 centimeters, a width of 8 centimeters, and a height of 7 centimeters. What is the area of the base of the prism?
Answer:
48 cm²
Step-by-step explanation:
They are only asking for the area of the base of the prism, which is the length of the prism times the width of the prism.
B = area of base
l = length = 6 cm
w = width = 8 cm
B = l * w
B = 6 cm * 8 cm
B = 48 cm²
The area of the base of the prism is 48 cm²
Answer:
48
and
336
I just did it
Suppose you want to fly for a party. Three rolls of streamers and 15 party hats cost $30. Larry, you've got two rolls of streamers in for a party hats for $11. How much did each role of streamers cost? How much did each party hat cost? Suppose you want to fly for a party. Three rolls of streamers and 15 party hats cost $30. Where, you bought two rolls of streamers and four party hats for $11. How much did each role of streamers cost? How much did each party hat cost?
Answer:
Each steamer costs $2.5 and each party hat costs $1.5
Step-by-step explanation:
Let the cost of 1 steamer =x
Let the cost of 1 party hat =y
Three rolls of streamers and 15 party hats cost $30
3x+15y=30Two rolls of streamers and four party hats for $11.
2x+4y=11We solve the two equations simultaneously.
Multiply equation 1 by 2 and equation 2 by 3
6x+30y=60
6x+12y=33
Suntract
18y=27
y=1.5
From 6x+30y=60
6x+30(1.5)=60
6x+45=60
6x=60-45=15
x=2.5
Since x=2.5 and y=1.5
Each steamer costs $2.5 and each party hat costs $1.5
Answer:
each role of streamers cost $2.5
each party hat cost $1.50
Step-by-step explanation:
Let 's' represent rolls of streamers and 'h' represent party hats
Lets form an equation first
=>For three rolls of streamers and 15 party hats cost $30.
3s + 15h = 30
s= (30-15h)/3 ----> eq(1)
=>For 2 rolls of streamers and 4 party hats cost $11.
2s + 4h = 11
s= (11 -4h)/2 ----> eq(2)
Lets equate eq 1 and 2 in order to find 'h'
(30-15h)/3= (11 -4h)/2 ---->(applying cross multiplication)
60 - 30h = 33 - 12h
60-33 = 30h -12h
27 = 18 h
h= 27/18 => 1.50
therefore, each party hat cost $1.50
substitute above value in eq 1
(1)=> s= (30-15h)/3
s= 30-(15 x 1.5) / 3
s= 2.5
Therefore, each role of streamers cost $2.5
A canal is 10 miles long. It had a lock every 2/3 mile. How many locks are on the canal?
To find the number of locks on the canal, divide the length of the canal by the distance between each lock. The canal is 10 miles long and there is a lock every 2/3 mile. Therefore, there are 15 locks on the canal.
Explanation:To find the number of locks on the canal, we need to divide the length of the canal by the distance between each lock. The canal is 10 miles long and there is a lock every 2/3 mile. We can divide 10 by 2/3 to find the number of locks.
Using the rule of dividing by a fraction, we can rewrite the expression as 10 ÷ \(\frac{2}{3}\). This is equivalent to multiplying by the reciprocal of the fraction, so the expression becomes 10 × \(\frac{3}{2}\). Now we can multiply 10 by 3 and divide by 2 to get the answer.
10 × 3 = 30
30 ÷ 2 = 15
Therefore, there are 15 locks on the canal.
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What is the surface area of the square pyramid?
The surface area is ____ yd2.
Answer:
16
Step-by-step explanation:
Answer:
it is 16
Step-by-step explanation:
Five pumpkin pies sit in front of 12 hungry people. If they finish the pies, and each person eats the same amount find the unit rate in the pumpkin pie per person
Answer:
The rate is 0.42 pumpkin pies per person
Step-by-step explanation:
In this question, we are to calculate the amount of pie eaten per person.
This is a rate question.
We have 5 pies and 12 hungry people who ate the same amount of pies as the next person.
The unit rate which is pumpkin pie person is mathematically calculated by dividing the number of pumpkins pies by the number of persons
Mathematically that would be 5/12 = 0.42 pies per person approximately
INVESTING Maria invests $1000 in a savings account that pays 4% interest compounded annually. The value of the account A at the end of five years can be determined from the equation log10 A = log10[1000(1 + 0.04)5]. Write this equation in exponential form
Answer:
[tex]A=1000(1+0.04)^5[/tex]
Step-by-step explanation:
-The general expression of an exponential function is :
[tex]A=P(1+r)^n[/tex]
where:
[tex]A[/tex] is the amount after time t.[tex]P[/tex] is the initial amount[tex]r[/tex] is the rate of growth[tex]t[/tex] is the time.We substitute our parameter values in the equation as:
[tex]A=1000(1+0.04)^5[/tex]
Final answer:
To write the given equation in exponential form, raise the base value of 1000 to the power of (1 + 0.04)⁵.
Explanation:
To write the given equation in exponential form:
Start with the base value, in this case, 1000.
Raise the base to the power of the exponent, which is (1 + 0.04)⁵.
The exponential form would be 1000 * (1 + 0.04)⁵.
To prove part of the triangle midsegment theorem using
the diagram, which statement must be shown?
O
The length of JK equals the length of JL.
The length of GH is half the length of KL.
The slope of JK equals the slope of JL.
The slope of GH is half the slope of KL.
The statement that must be shown to prove part of the triangle midsegment theorem is: B. The length of GH is half the length of KL
What is the Midsegment Theorem?The Midsegment Theorem of a triangle states that the length of the midsegment (line segment joining two sides of a triangle) is half the length of the third side (the base) of the triangle.Midsegment = ½(third side/base)Given ΔJKL with a midsegment of GH as shown in the diagram attached below:
GH is the midsegment
KL is the base (third side)
Therefore, the statement that must be shown to prove part of the triangle midsegment theorem is: B. The length of GH is half the length of KL
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Which is the solution to the system of equations:
x + y = -7
3x + 2y = -17
O (-1,-6)
O (3, -13)
O (4, -11)
O (-3,-4)
Answer:
HOW IS THIS HIGH SCHOOL?! ITS SO EASY ITS D
Step-by-step explanation:
Answer:
The fourth one
Step-by-step explanation:
if you plug the values in then you would get
(-3) + (-4) = -7
3(-3) + 2(-4) = -17
-7 = -7
-8 + -9 = -17
-17 = -17
True
find the slope of the line (-3,-3) (1,1)
Answer: The slope is m = 1
Step-by-step explanation:
-To find the slope, you need the slope formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex] where you have [tex](x1,y1)[/tex] and [tex](x2,y2)[/tex] on the equation.
-Next, you put the two points to the equation:
[tex]m=\frac{1+3}{1+3}[/tex]
-And then you solve the equation:
[tex]m=\frac{1+3}{1+3}[/tex]
[tex]m=\frac{1+3}{1+3} = \frac{4}{4}=1[/tex]
[tex]m=1[/tex]
The slope of line having (-3,-3) (1,1) as points is 1 .
Given,
Points: (-3,-3) (1,1)
To find the slope, you need the slope formula:
m = y2 -y1 /x2 - x1
Here,
(x1 , y1 ) = (-3,-3)
(x2 , y2) = (1,1)
So,
Substitute the values in slope formula ,
m = y2 -y1 /x2 - x1
m = 1 - (-3)/1 - (-3)
m = 4/4
m = 1
Thus the slope of line is 1 .
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30 square root the nearest tenth
Answer:
Step 1: Calculate
We calculate the square root of 30 to be:
√30 = 5.47722557505166
Step 2: Reduce
Reduce the tail of the answer above to two numbers after the decimal point:
5.47
Step 3: Round
Round 5.47 so you only have one digit after the decimal point to get the answer:
5.5
To check that the answer is correct, use your calculator to confirm that 5.52 is about 30.
Answer:
I think its 5.5
Step-by-step explanation:
Which of the following phrases are equations?
Choose 2 answers:
© b = 9
© 7+ 19 = 26
© a +9 > 72
©
X
+Y-
Colo
Answer:
d
Step-by-step explanation:
The two phrases that are equations are 'b = 9' and '7 + 19 = 26' because both have an equals sign, indicating that two expressions are set equal to each other.
An equation is a mathematical statement that asserts the equality of two expressions, and it is characterized by the presence of an equals sign '='. From the given options, the two phrases that qualify as equations are b = 9 and 7 + 19 = 26. These both show a relationship where two expressions are set equal to each other.
The phrase a +9 > 72 is not an equation, but an inequality because it uses a greater than symbol '>' instead of an equals sign. The last option provided seems to be typos or irrelevant content and does not constitute an equation.
To find the average or mean of a set of numbers, add up all the items and divide by…?
Answer: divide it by the number of numbers you added up.
Step-by-step explanation:
For example, let's say you had to find the average of 1, 2, and 3. You add all the numbers up to get 6. Since you had to add 3 numbers together (1, 2, 3) to get 6, you divide 6 by 3 to get the mean/average, which in this case, is 2
To find the average or mean of a set of numbers, add up all the items and divide by how many numbers there are.
How do you find the average set of numbers that add up all the items and divide by?The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words, it is the sum divided by the count.
How do you find the mean in a set of numbers?The mean, or average, is calculated by adding up the scores and dividing the total by the number of scores.
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Find the center and the radius of the circle given the equation of a circle
below.
(x - 2)^2 + (y – 5)^2 = 49
A: Center: (2,5) & Radius=7
B: Center: (5,2) & Radius=49
C: Center: (-2,-5) & Radius=49
D: Center: (-5,-2) & Radius= 7
Option A) Center: (2,5) & Radius=7 is the correct one.
Step-by-step explanation:
The general form of the equation of the circle is given as :
⇒ (x-h)² + (y-k)² = r²
where,
(h, k) are coordinates of the center point of the circle.r is the radius of the circle.Therefore, you need to compare the given equation with the general equation of the circle.
The given equation of circle is (x-2)² + (y-5)² = 49
From the given equation, it can be determined that
h = 2 and y = 5 and r² = 49
The center (h,k) of the circle is (2,5).
To find the radius r :
⇒ r² = 49
⇒ r = 7
The radius of the circle is 7.
∴ Option A) Center: (2,5) & Radius=7 is the correct one.
Mike claims that (2^3)^5= 2^15. Sarah claims that (2^3)^5= 2^8. Who is correct? Explain your reasoning.
Mike is correct, because the rules for powers and exponentiation say that when you elevate a certain base which is already being elevated to a certain power, the powers multiply.
This means that:
[tex] {( {a}^{b} )}^{c} = {a}^{bc} [/tex]
Or, using your example:
[tex] {( {2}^{3} )}^{5} = {2}^{3 \times 5 } = {2}^{15} [/tex]
Determine the surface area of the triangular prism below
A. 2,001
B. 2,376
C. 2,592
D. 4,320
Answer:
2376 square feet
Step-by-step explanation:
40 x 15 = 600
40 x 24 = 960
1/2 x (24 x 9) = 108
600 + 600 + 960 + 108 + 108 = 2376
Tablet: $439, 40% off find the discount
Answer:
439 x 0.4 = 175.6 so the discount is 175.6
Step-by-step explanation:
40% is equal to 0.4 and you just multiply. If you want to find the discount price just subtract the discount off.
Hope this helps can I have brainliest
Final answer:
The discount on the tablet is $175.60.
Explanation:
To calculate the discount on the tablet which is 40% off the original price of $439, we need to use the formula:
Discount = Original Price × Discount Rate
Therefore:
Discount = $439 × 40%
First, convert 40% into a decimal, which is 0.40:
Discount = $439 × 0.40
Do the multiplication to find the discount:
Discount = $175.60
So, the discount is $175.60, and the tablet would then cost $439 - $175.60 = $263.40 after applying the discount.
Brainliest answer
Jack has 2 apples he gives one away to his sister how much apples does jack have left.
Answer:
1
Step-by-step explanation:
Answer:
1 apple
Step-by-step explanation:
2 - 1 = 1 <3
(25 points) Find the probability that a randomly selected student drives to school.
Answer:
2/5
Step-by-step explanation:
40 students drive to school
40/100 drive to school
2/5
Step-by-step explanation:
Hello there!
Add all of the values in the table to get the total amount of students.
25+25+20+13+5+5+3+2+2=(70)+(23)+(4)=97
Then, make your probability:
P(Drive to school)=(How many students drive)/(All students)
P=40/97
;)
I need help. Look at picture
Choose 1 answer:
A. -4.63 x 10^13
B. -28.7
C. -1.65
D. -0.14
Find the area of the semicircle. Round your answer to the nearest whole number.
Answer:
2513
Step-by-step explanation:
A=πr^2
A=π40^2
A=π x 1600
A=5026
5026÷2=2513
Answer:
its 628
Step-by-step explanation:
Un local de Santa Bárbara fue pintado por 4 personas emprendedoras que se unieron para montar un negocio de lácteos; Juan, Pedro, Carlos y Mario; Juan pintó 2/7 del local, Pedro pintó 5/14 y Carlos pintó 2/14; ¿qué fracción pintó Mario?
Answer:
The proportion of premises painted by Mario is [tex]\frac{3}{14}[/tex].
Step-by-step explanation:
The question is:
A local in Santa Bárbara was painted by 4 enterprising people who got together to start a dairy business; Juan, Pedro, Carlos and Mario; Juan painted 2/7 of the premises, Pedro painted 5/14 and Carlos painted 2/14; What fraction did Mario paint?
Solution:
Consider the proportion of the total premises painted is 1.
The four enterprising people who got together to start a dairy business are:
Juan (J), Pedro (P), Carlos (C) and Mario (M).
The proportion of premises painted by Juan is:
[tex]P(J)=\frac{2}{7}[/tex]
The proportion of premises painted by Pedro is:
[tex]P(P)=\frac{5}{14}[/tex]
The proportion of premises painted by Carlos is:
[tex]P(C)=\frac{2}{14}[/tex]
Compute the proportion of premises painted by Mario as follows:
P (M) = 1 - P (J) - P (P) - P (C)
[tex]=1-\frac{2}{7}-\frac{5}{14}-\frac{2}{14}\\=\frac{14-4-5-2}{14}\\=\frac{3}{14}[/tex]
Thus, the proportion of premises painted by Mario is [tex]\frac{3}{14}[/tex].
what is the volume in cubic ft of a rectangular prism with a height of 17ft a width of 13 ft and a length of 12ft
Answer:
The answer is 2652 ft^3 (cubed)
Step-by-step explanation:
To find the volume of a rectangular prism, you need to multiply base X height or Bh.
1. Multiply length by width12 X 13 = 156 ft^2 (squared)2. Multiply base by height156 ft (squared) X 17 ft = 2652 ft^3 (cubed)Answer:2654
Step-by-step explanation:
Find the value of x
46.
92.
78.
98.
Answer:
x = 92
Step-by-step explanation:
The segment of measure 46 joins the midpoints of 2 sides of the triangle and is one half the measure of the third side, thus
x = 2 × 46 = 92