Answer:
7
Step-by-step explanation:
Let's call the missing card number "x".
The mean is the sum divided by the number of elements, so we know that:
[tex]\frac{12 + 6 + 15 + x}{4} = 10\\~\\12 + 6 + 15 + x = 40\\33 + x = 40\\x = 7[/tex]
The number on the 4th card is 7 according to the given question when The mean of the 4 numbers on Ed's cards is 10
To work out the number on the 4th card, we can use the information given about the mean of the four numbers.
Mean is calculated by summing all the values and then dividing by the number of values. In this case, the mean is 10 and there are four numbers.
Given:
Mean = 10
Number of cards = 4
To find the sum of the four numbers, we multiply the mean by the number of cards:
Sum of the four numbers = Mean * Number of cards
Sum of the four numbers = 10 * 4
Sum of the four numbers = 40
Now, let's find the number on the 4th card. We subtract the sum of the three known numbers from the sum of the four numbers:
Number on the 4th card = Sum of the four numbers - Sum of the three known numbers
Number on the 4th card = 40 - (12 + 6 + 15)
Number on the 4th card = 40 - 33
Number on the 4th card = 7
Therefore, the number on the 4th card is 7.
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Full question
Ed has 4 cards.
There is a number on each card.
12
6
15
?
The mean of the 4 numbers on Ed's cards is 10
Work out the number on the 4th card.
( No graph Needed)
What is 3x2 [-2 3 0. -4 2 6. 6 -5 6.]
Answer:
The correct answer is choice B. Have a good day!
If the sum of six consecutive odd integers is 252, what is the smallest of the six integers?
Answer:
37 smallest number
Step-by-step explanation:
If your integer is x
The next 5 odd integers are:
x+2
x+4
x+6
x+8
x+10
x+x+2+x+4+x+6+x+8+x+10=252
6x+30=252
6x=252-30
6x=222
x=222/6
x=37
a theater can hold 120 giants or 144 elves, if 90 giants are already in the theater how much elves can be admitted?
Answer:
36 more elves
Step-by-step explanation:
90 giants takes up 90/120 = 0.75 of the whole theater, leaving 0.25 empty for the elves.
0.25 * 144 = 36
36 more elves can fit.
Answer:
36 elves
Step-by-step explanation:
Hope this helps
joption
[tex]x \sqrt{?} [/tex]
Answer:
???
Step-by-step explanation:
The area of a trapezoid is 144cm2. The height is 16cm and the length of one of the parallel sides is 6cm. Find the length of the second parallel side. Express your answer as a simplified fraction or a decimal rounded to two places.
Step-by-step explanation:
hope this will help you have a great day!
Answer:
0.12
Step-by-step explanation:
I don't know how to explain it to you, but I hope you'll understand from the picture. hope it helps.
plz help will give crown
Answer:
C. [tex] a \leqslant 4[/tex]
Step-by-step explanation:
[tex]a \leqslant 4[/tex]
Option C is the correct answer.
need the GCF of the following term
Answer:
x²y²
Step-by-step explanation:
Refer to image below:
What is the surface area of the right cone below?
Radius 8
Slanted height 14
A. 896 units2
B. 1677 units2
C. 1767 units2
D. 2247 units
Total surface area of cone is 176π
Explanation:
Surface area of curved surface of a cone is give by π⋅r.l , where r is the radius and l is the slant height of the cone.
Hence surface area of curved surface of a cone is π×8×14=112π .
As surface area of base is π×82=64π .
Hence total surface area is 112π+64π=176π
The surface area of the given cone is 552.64 units²
What is surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Given that, a cone has a radius of 8 and slant height of 14 units, we need to find its surface area,
The surface area of cone = π ·r²+ π·r·l, where l is the slant height,
So,
SA = (3.14 × 8²) + (3.14 × 8 × 14)
= 200.96 + 351.68
= 552.64
Hence, the surface area of the given cone is 552.64 units²
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Solve the system of equations by substitution.
5x + y =18
Y=4x
Answer:
x =2 y= 8
Step-by-step explanation:
A school librarian ordered new books
Answer:
35
Step-by-step explanation:
Answer:
8232
Step-by-step explanation:
A bowl contains 10 red balls and 10 blue balls.A woman selects balls at random without looking at them. How many balls must she select to be sure of having at least three balls of the same color?
Answer:
5 balls
Step-by-step explanation:
Sorry if it's wrong.
What is the range of F?
Answer:
A should be right :)
Answer:
I think D as that's the highest point
Step-by-step explanation:
I think D as that's the highest point
For the polynomial x^3-7x^2+12x-6, 1 is a zero. Express g(x) as a product of linear factors.
Answer:
(x–1)(x²–6x+6)
Explanation:
Given that 1 is a zero, we can use synthetic division to compute the factor.
If 1 is a zero (x–1) is a factor.
Here is the process:
| 1 | 1 -7 12 -6
↓ +(1) +(-6) +(6)
↓ ↓ ↓
1 -6 6 0
→ [1]x² + [-6]x + [6]1 + [0]/x–1 =
x² – 6x + 6.
Therefore the factors are (x–1)(x²–6x+6)
The diagonal length of a TV is 32 inches, and the height is 17 inches. How wide is the TV?
Pls
Answer:
7√15
Step-by-step explanation:
32²-17²=735
√735
Name the solid that is formed from the net.
a. Square Pyramid
b. Triangular Pyramid
c. Triangular Prism
d. Cylinder
e. Rectangular Prism
f. Cone
g. Cube
Which angle is an adjacent interior angle?
solve from missing angle
Will give brainliest! If you are unsure do not answer.
Make sure you answer both parts and be detailed in your explanation.
a) The equation 2x + 8 = 2(x+4) works for all values of x. Explain how you know.
b) The equation 3x +7 = 3(x+7) works for no values of x. Explain how you know.
Answer:
a) because of the distributive property when you distribute you get 2x+8=2x+8
b) because when you distribute, you get 3x+7=3x+21 which is not equal so no value of x will work
Answer:
a) 2x + 8 = 2(x + 4) has infinite solutions because it simplifies down to x = x. Here is the work where this equation is solved.
2x + 8 = 2(x + 4)
2x + 8 = 2(x) + 2(4)
2x + 8 = 2x +8
2x + 8 - 8 = 2x + 8 -8
2x = 2x
2x/2 = 2x/2
x = x
So, because the equation ends in x = x, you can substitute any value for x and the equation will remain true.
----------------------------------------------------------------------------------------------------------------
b) 3x + 7 = 3(x + 7) has no solutions because it simplifies down to an untrue statement. The equation is simplified below.
3x + 7 = 3(x + 7)
3x + 7 = 3(x) + 3(7)
3x + 7 = 3x + 21
3x + 7 - 7 = 3x + 21 - 7
3x = 3x + 14
3x/3 = 3x/3 +14
x = x + 14
However, this is false. x cannot be equal to itself plus 14.
x ≠ x + 14
The simplification of this equation is untrue, so there is no solution to it.
----------------------------------------------------------------------------------------------------------------
I hope this helps ^^
Good luck mate
it took bryan one hour to ride 6 1/4 miles on his bike. how far will bryan be able to ride in 3 1/2 hours?
A 21 7/8
B 9 3/4
C 5 1/2
D 9 1/4
A yard contains 16 ounces. 9 ounces is what fraction of a pound?
9514 1404 393
Answer:
9/16
Step-by-step explanation:
We presume an error in the problem statement. A yard is a measure of distance, not weight.
A pound contains 16 ounces. Then 9 ounces is 9/16 of a pound.
__
As a decimal fraction, that is 0.5625 lb.
determine which of the following pairs of fractions are equivalent.
1)4/5 and 16/20
no links or photo
Answer:
explanation
Step-by-step explanation:
just multiply the numerator and the detonator by 4 and u get 16/20
Help me it’s really important
Answer:
Step-by-step explanation:
Quadratic equation has been given as,
[tex]y=-x^{2} +6x+4[/tex]
Converting this equation into vertex form,
[tex]y=-(x^{2}-6x)+4[/tex]
[tex]y=-[x^{2}-2(3x)+9-9]+4[/tex]
[tex]y=-[x^{2}-2(3x)+3^2]+4+3^2[/tex]
[tex]y=-(x-3)^2+4+9[/tex]
[tex]y=-(x-3)^2+13[/tex]
By comparing this equation with the vertex form of a quadratic equation,
y = (x - h)² + k
Here, (h, k) is the vertex of the parabola.
Vertex of the parabola → x = 3, y = 13
Axis of symmetry → x = 3
What number goes on top?
Answer:
33
Step-by-step explanation:
16+17 math that is why
What is the distance between the two points?
(0.5, 1.3), (-0.4, -1.2)
Answer:
2.66 (rounded to the nearest hundredth)
It is 8 degrees at 8pm. By midnight, the temperature has dropped 12 degrees. What is the
new temperature outside?
Answer:
-4
Step-by-step explanation:
8-12=-4
Answer:
-4
Step-by-step explanation:
8-12=-4
Can someone help me pls
Answer:
57°
Step-by-step explanation:
180-56=114
114÷2=57
Answer:
57°
Step-by-step explanation:
AO and BO are both the radius of the circle, so they are equal. Since it makes an iscosoles triangle, angles A and B are equal.
180-66=114
114/2=57
If 2x⁴ + 2y⁴ + 2z⁴ = 144, what is the mean of x⁴, y⁴ and z⁴
Answer: 24
Step-by-step explanation:
Given
[tex]2x^4+2y^4+2z^4=144[/tex]
dividing whole equation by 2, we get
[tex]\Rightarrow x^4+y^4+z^4=72[/tex]
Mean is given by the sum of the value of entities divided by the total no of entities
[tex]\Rightarrow \text{Mean}=\dfrac{x^4+y^4+z^4}{3}\\\\\Rightarrow \text{Mean}=\dfrac{72}{3}\\\\\Rightarrow \text{Mean}=24[/tex]
The question is attached in the photo PLEASE HELP ASAP!!!!!!
THIS IS DUE TODAY!!!!!!!!!!!!
*** I will make you brainiest if the answer is correct ***
Find the value of x. Round to the nearest tenth
9514 1404 393
Answer:
42.3
Step-by-step explanation:
The appropriate trig ratio is ...
Tan = Opposite/Adjacent
tan(78°) = x/9
x = 9×tan(78°)
x ≈ 42.3
A market sells coffee from Brazil for $3 per pound and coffee from Colombia for $4 per pound. How
many pounds of each should be used in order to sell the blend of 100 pounds for $3.50 per pound?
Answer:
It would be 28 brazilian and 4 Colombian
Step-by-step explanation:
I multiplied alot and please forgive me if this is wrong
