The four integers are 7, 7, 8, 10
What are the integers ?
Four integers are a, b, c, d
Mean = Sum of integers/Total number of integers
= (a+b+c+d)/4
According to the question,
Mean = 8
i.e. (a+b+c+d)/4 = 8
⇒ a+b+c+d = 32 ......(1)
Median (for even no. of integers) = ([tex]\frac{n}{2}^{th} +(\frac{n}{2}+1)^{th}[/tex] term)/2
= (2nd+3rd term)/2
= (b+c)/2
According to the question,
Median = 7.5
i.e. (b+c)/2 = 7.5
⇒ b+c = 15 .....(2)
We know that, most frequent data is the mode.
So, mode = 7 means the number 7 occurs most frequently.
7 is not more than 2 times, because if 7 occurs 3 times, then 2nd & 3rd term will be 7 & median will be (7+7)/2 i.e. 7, so 3rd term must be larger than 7 to adjust the median value, which is 7.5
Then 1st two integers are 7 & 7
i.e. a = b = 7
Now, from (2), b+c = 15
⇒ 7+c=15
⇒ c =15-7
⇒ c = 8
Now, from (1) we get, a+b+c+d = 32
⇒ 7+7+8+d = 32
⇒ 22+d = 32
⇒ d = 32-22
⇒ d = 10
So, a = 7, b = 7, c = 8, d = 10
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What number should be placed in the box to help complete the division calculation?
Answer:
160
Step-by-step explanation:
226
-160
____
66
-64 (4 in the quotient)
____
2
Liz flips a coin 70 times. The coin lands heads up 28 times and tails up 42 times. Complete each
statement.
Answer:
whar state ment
Step-by-step explanation:
Solve the equation in the interval from 510^\circ510 ∘ 510, degrees to 1050^\circ1050 ∘ 1050, degrees. Your answer should be in degrees. \sin(x)=0sin(x)=0
Answer:
540°, 720° and 900°Step-by-step explanation:
Given equation sin(x) = 0 lying between the interval 510°≤x≤1050°. To find the value of x within this range, we first find the value of from the equation as shown;
sin(x) = 0
taking the arcsin of both sides;
[tex]sin^{-1}(sinx) = sin^{-1} 0\\x = 0^{0}[/tex]
Since x is positive in the first and second quadrant, in the second quadrant, the value of x will be 180°-0° = 180°
Subsequent value of x equivalent to 0° will be addition of 180° to each previous value gotten. The values of x within the range given are as shown
x1 =0°
x2 = 180°-0° = 180(2nd quadrant)
x3 = 180°+180° = 360°
x4 = 360°+180° = 540°
x5 = 540°+180°=720°
x6 = 720°+180° = 900°
x7 = 900°+180° = 1080°
We can see from the values above that the values of x that falls within the given range are 540°, 720° and 900°. This gives the required answers in degrees.
Round to nearest hundreth
If I take the shortest route do I take a new road ? Please explain. How far is the longer route than the shorter route and assume they are all straight. This is Pythagorean theorem.
Answer:
the new road is new so it will be a new way which makes it shorter if yuo think about it
A building in a downtown business area casts a shadow that measures 88 meters along the ground. The straight-line distance from the top of the building to the end of the shadow it creates is at a 32° angle with the ground. What is the approximate height of the building? Round your answer to the nearest meter. The building is meters high.
The height of the building with a shadow of 88 feet is 55 feet.
Trigonometric ratioTrigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let h represent the height of the building, hence using trigonometric ratios:
tan(32) = h / 88
h = 88 * tan (32) = 55 feet
The height of the building with a shadow of 88 feet is 55 feet.
Find out more on Trigonometric ratio at: https://brainly.com/question/4326804
Answer: 55
Step-by-step explanation: The building is 55 meters high
A word game has 100 tiles, including 2 blank tiles and 56
consonant tiles. There are 42 tiles with a vowel on each, and 12 have an "E." If the tiles are turned face down, and Dante selects one, what is the probability he will select a tile with an "E" on it?
Select One:
A.)2/7
B.)3/14
C.)I/12
D.)3/25
Answer:
D) 3/25
Step-by-step explanation:
Total number of tiles:
100Number of tiles with "E" on it:
12Probability of selecting a tile with "E" on it:
12/100 = 3/25Answer choice: D) 3/25
Write the standard form of the line that passes through the given points. (-3,5) and (-2,-6)
Answer:
Step-by-step explanation:
What you’ll do is subtract -3 and -2 and then subtract 5 and -6
A store makes a $0.45 profit on every toy they sell. If they made $237.15 in profit last month, how many toys did they sell?
Answer:
527
Step-by-step explanation:
237.15/0.45 = 527
Answer:
They sold 527 toys.
Step-by-step explanation:
If they make 0.45$ profit on every toy.
Total profit of a month is $237.15.
then no of toys sold = total profit divided by individual profit
Number of toys= 237.15/0.45 =527
Problem:
The pile of blocks above weighs 2 pounds. How many ounces do the blocks weigh?
A
32 ounces
B
16 ounces
C
1 ounce
D
64 ounces
End
Session
the answer is 32 ounces this same queston is in my notes
hope it likes you...
The following table shows how many multiplication problems 4 students were able to solve in different amounts of time. For example, Murray solved 58 problems in 2 minutes.
Student Problems Minutes
Murray 58 2
Kris 78 3
Logan 84 3
Taylor 92 4
Which student solved problems at a rate of 28 per minute?
Answer:
logan
Step-by-step explanation:
84 divided by 3 = 28
Answer: Logan
Step-by-step explanation:
Here the given table,
Student : Murray Kris Logan Taylor
Problem : 58 78 84 92
Time(min) : 2 3 3 4
Therefore, Only Logan can solve the problem at the rate of 28 per minutes.
How many solutions does this equation have?
–n − 5 = –n
Answer:
0
Step-by-step explanation:
-n+n-5 = 0
-5 = 0
Answer:
no solutions
Step-by-step explanation:
–n − 5 = –n
Add n to each side
–n+n − 5 = –n+n
-5 = 0
This is never true so there are no solutions
Triangle RST is rotated using the origin as the center of rotation. The preimage and image are shown in the graph below.
On a coordinate plane, triangle T R S has points (negative 2, negative 3), (2, negative 3), (0, negative 5). Triangle T prime R prime S prime has points (3.5, 0.8), (0.7, 3.8), (3.5, 3.8).
The figure is rotated counterclockwise. Which rotation could have taken place?
a 45° rotation
a 90° rotation
a 135° rotation
a 225° rotation
Answer:
a 135° rotation.Step-by-step explanation:
As you can observe in the image attached, the preimage RST is a tringle "pointing" to the negaitve side of the vertical axis (taking point S as reference).
The transformed triangle R'S'T' is pointing to the diagonal of the first quadrant, with a 45°, approximately.
The rotation needed in such transformation would be 90° + 45° = 135°, becasue from -y to +x there're 90°, then we rotate 45° to reach the position of R'S'T'.
Therefore, the right asnwer is a 135° rotation.
Answer:
a 135° rotation.
Step-by-step explanation:
As you can observe in the image attached, the preimage RST is a tringle "pointing" to the negaitve side of the vertical axis (taking point S as reference).
The transformed triangle R'S'T' is pointing to the diagonal of the first quadrant, with a 45°, approximately.
The rotation needed in such transformation would be 90° + 45° = 135°, becasue from -y to +x there're 90°, then we rotate 45° to reach the position of R'S'T'.
Therefore, the right asnwer is a 135° rotation.
What is the volume of this rectangular prism?
-
4.8 cm
4.1 cm
15 cm
Answer:
295.2 cm^3
Step-by-step explanation:
Volume of a prism = length * width * height.
Here the volume = 4.8 * 4.1 * 15
= 295.2 cm^3.
The volume of rectangular prism is 295.2[tex]cm^{3}[/tex]
What is rectangular prism?A rectangular prism is a polyhedron with two congruent and parallel bases. It is also called a cuboid. A rectangular prism has six faces, and all the faces are in a rectangle shape and have twelve edges. Because of its cross-section along the length, it is said to be a prism.
What is the volume of rectangular prism?To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
According to question
Length of rectangular prism = 4.8cm
Breath of rectangular prism = 4.1cm
Height of rectangular prism = 15cm
Volume of rectangular prism = Length * Breath * height
= 4.8*4.1*15
= 295.2[tex]cm^{3}[/tex]
Hence, Volume of rectangular prism is 295.2[tex]cm^{3}[/tex]
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Find the volume of a cylinder if the radius is 5 in. and the height is 20 in.
Answer:
V=πr^2h
V = ?
π = 22/7
r = 5
h=20
V = 22/7× 5^2× 20
V = 11000/7
V = 1571.42
The Volume is approximately 1571cm^3
Step-by-step explanation:
What is the range? 5,10,5,4,5,10,3,10
Help me pls
Answer: the answer is 7
Step-by-step explanation: the lowest number is 3 and the biggest one is 10 so you substract 10-3 and you get 7
Answer:
7.
Step-by-step explanation:
In order to find the range, you need to:
1. Arrange the set of numbers in order from smallest to largest.
2. Identify the smallest and largest numbers in the set.
3. Subtract the smallest number from the largest.
Therefore, your answer is 7.
Happy to help. :)
Need help someone help !
Answer:
A = 2x^2 + 2x - 12
Step-by-step explanation:
A = (2x-4)(x+3)
(use FOIL to solve)
A = 2x^2 + 2x - 12
Which of these situations can be considered a binomial experiment?
A.
Drawing one marble from a bag containing 12 red and 8 blue marbles (replacing after each draw) until you have drawn 5 blue marbles
B.
Asking 25 students how tall they are and recording their answers
C.
Rolling a single number cube until you get a 5
D.
Tossing a coin 50 times and recording the number of times it lands on heads
Answer:
D. Tossing a coin 50 times and recording the number of times it lands on heads
Step-by-step explanation:
It is best to analyze each option and see if it meets the conditions of a binomial experiment or not, the most important thing is that the binomial distribution can be used when the results of each experiment / trace in the process are yes / no or success / failure .
A. Drawing one marble from a bag containing 12 red and 8 blue marbles (replacing after each draw) until you have drawn 5 blue marbles
Does not meet the conditions, although there are two options, The tests are not independent of each other. The result of one test does affect the results of subsequent tests. because there is a replacement.
B. Asking 25 students how tall they are and recording their answers
There are not two options
C. Rolling a single number cube until you get a 5
There are not two options
D. Tossing a coin 50 times and recording the number of times it lands on heads
Yes there are two options and they are events are independent of each other, therefore it is the correct answer.
Answer:
D. Tossing a coin 50 times and recording the number of times it lands on heads
Step-by-step explanation:
A P 3 X
Please help me any thing you can do just help me
Answer:if u need help go to a Psychiatric hospital
Step-by-step explanation:
simplify (3mn)4 (with work please)
Answer:
12mn
Step-by-step explanation:
Just multiply 4 by 3
need help will give brainliest and 5 stars
Answer:
(-2, -2)
Step-by-step explanation:
You have to find the lowest point of the graph. That would be 2 to the left of the origin and 2 down. Note that the scale on the graph differs for the x- and y-axis.
I need help guys this time it is 6 points cuz I'm poor so PLZ help I really need it !!!!!!!!
Answer:
Answer is option d mark as brainiest give 100 point
what is the difference 4 1/3 - (-2/3)
Answer:
5
Step-by-step explanation:
2 negatives always equal a positive.
We have to convert 4 1/3 into a improper fraction which is 13/3. Since we know 2 negatives equal a positive, we add both fractions. 13/3 + 2/3 ewuals 15/3 which equals 5.
hey can anyone pls help me out in dis i will give 30 points!!!!!
Answer:
First box = I would use the slope formula. The slope formula is y2 - y1/x2 - x1.
Second box horizontally = the method I would use is using the slope formula
Second row of boxes = I would graph it using the computer.
What is a set of ordered pairs
Answer:
A relation is a set of ordered pairs. The set of all first components of the ordered pairs is called the domain of the relation and the set of all second components of the ordered pairs is called the range of the relation.
Step-by-step explanation:
I Know It’s A Bit Much But U Would Be Doing Me A Huge Favor
Answer:
1. x^8
2.1
3.x^15
4.x^10
5.x^6
6.x^5y^5
7.x^-6
8.x^9
9.x^14
10.x^5
11.x^-1
12.x^11
Step-by-step explanation:
A paper cup in the shape of a cone has a radius of 6 cm and is 5 cm high. What is the volume of the cup ?
Jeremy’s dad is making cupcakes for his birthday. He needs 50 cupcakes in all. So far he made 13 chocolate cupcakes and 15 vanilla cupcakes. How many more cupcakes must he make?
Answer:
22 cupcakes
Step-by-step explanation:
13+15=28
50-28=22
Answer:
22 cupcakes
Step-by-step explanation:
First, let's find how many cupcakes he has already made.
He made 13 chocolate and 15 vanilla. If we add them together, we can find how many he has made total.
13+15=28
So far, he has 28 cupcakes.
He needs 50 cupcakes, and he has already made 28. The difference of the two numbers will be how many he must still make.
Subtract 28 from 50
50-28=22
So, he still has to make 22 cupcakes
Simplify, and then write in exponential form. Do not evaluate.
(7^2)^4
Answer:
7^8
Step-by-step explanation:
(7^2)^4
We know a^b^c = a^(b*c)
(7^2)^4 = 7^(2*4)
= 7^(8)
Garth buys 24 kilograms of candy. He then repacks the candy into small bags of 34 kilogram each. How many bags does he pack? A. 18 bags B. 28 bags C. 32 bags D. 36 bags
Corrected Question
Garth buys 24 kilograms of candy. He then repacks the candy into small bags of 3/4 kilogram each. How many bags does he pack?
Answer:
C. 32 bags
Step-by-step explanation:
Total Weight of Bag bought =24 kilograms
Since Garth wants to repack the candy into small bags of 3/4 kg, we simply divide 24 by 3/4 to obtain the number of small bags.
[tex]24 \div \dfrac{3}{4}= 24 X \dfrac{4}{3}\\=32[/tex]
There will be 32 small bags of 3/4 kg.
The correct option is C.
