Answer:
n(A) + n(B) - n(AnB) = n(AUB)
12 + 7 - n(AnB) = 10
19 - n(AnB) = 10
19 - 10 = n(AnB)
n(AnB) = 9
Step-by-step explanation:
Step-by-step explanation:
n(A)=12
n(B)=7
n(AUB)=10
n(AnB)=?
let,n(AnB) be x
We know that,
or, n(AUB) = n(A)+n(B)-n(AUB)
or, 10 =12+7+x
or, 10 =19+x
or, 10-19=x
or,9=x
so, the value of x is 9
then (AnB)=9
Sarah went on a run. On her run she found 6 rocks. When she was going back home she found 7 more rocks. When she got home she relized she lost 2 of the rocks. How many rocks does she have now?
Answer:
11
Step-by-step explanation:
first you add 6 + 7 = 13
then you 13 - 2 which gives you eleven!
Could a polyhedron exist with the given number of faces, vertices, and edges? Drag yes or no to each combination
Answer:
(a) No
(b) No
(c) No
Step-by-step explanation:
Given
See attachment
Required
Select Yes or No for each
To do this, we make use of Euler's formula
[tex]F + V - E = 2[/tex]
Where
[tex]F \to Faces; V \to Vertices; E \to Edges[/tex]
[tex](a):\ Faces = 8; Vertices = 12; Edges = 6[/tex]
Using: [tex]F + V - E = 2[/tex]
[tex]8 + 12 - 6 = 2[/tex]
[tex]14 = 2[/tex]
The above equality is false. Hence, (a) does not exist
[tex](b):\ Faces = 6; Vertices = 6; Edges = 4[/tex]
Using: [tex]F + V - E = 2[/tex]
[tex]6 + 6 - 4 = 2[/tex]
[tex]8 = 2[/tex]
The above equality is false. Hence, (b) does not exist
[tex](c):\ Faces = 20; Vertices = 30; Edges = 12[/tex]
Using: [tex]F + V - E = 2[/tex]
[tex]20 + 30 - 12 = 2[/tex]
[tex]38 = 2[/tex]
The above equality is false. Hence, (c) does not exist
Brainlest if correct!!!
During one month, the mean high temperature in Boise, Idaho, was 52.1°F with a standard deviation of 6.5° F. During the same month, the mean high temperature in Death Valley, California, was 81.9° F with a standard deviation of 6.4° F. Select all the statements that are true.
Answer:
B. The average high temperature in Death Valley was greater than the average in Boise
C. The variation of high temperature in Death valley was about the same as the variation in Boise
Step-by-step explanation:
Step 1: In a normal distribution, about 95% of the values are ±2 standard deviations from the mean. ±2 standard deviation from the mean high temperature of Boise is 39.1 to 65.1. Therefore, option A is wrong
Step 2: The average temperature high temperature of each of the places isngiven by their mean high temperatures.
The mean high temperature in Boise, Idaho, was 52.1°F while the mean high temperature in Death Valley, California, was 81.9°F.
Difference between the mean high temperatures is (81.9 - 52.1) = 29.8°F
Therefore, the average high temperature in Death Valley was greater than the average in Boise. Option B is correct.
Step 3: Standard deviation measures how spread out data is. It is a measure of variation of data.
The standard deviation of the high temperature in Boise, Idaho was 6.5° F, while the standard deviation of the high temperature in Death Valley, California was 6.4° F. This two values are about the same. Therefore, option C is correct.
Step 4: In a normal distribution, about 68% of the values are ±1 standard deviations from the mean. ±1 standard deviation from the mean high temperature of Death Valley is 75.5 to 88.3. Therefore, option D is wrong
Step 5: In a normal distribution, about 99.7% of the values are ±3 standard deviations from the mean. ±3 standard deviation from the mean high temperature of Boise is 32.6 to 71.6. Therefore, option E is wrong
In the figure below, ∠PQR and ∠TQS are vertical angles. What is the value of x? *
A. 16
B. 32
C. 48
D. 66
Answer:
A) 16
Step-by-step explanation:
∠PQR and ∠TQS are vertical, meaning they equal each other
set up your formula as
3x+18=66
3x=66-18
3x=48
x=48/3
x=16
Subtract 4.25 and 12.835
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]12.835 - 4.25 \\ = 12.835 - 4.250 \\ = 8.585[/tex]
NOTE:-
⇻ You must subtract the smaller number from the bigger number.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
please help and describe and correct the error in finding a solution of the equation in two variables! i will mark you brainliest !!!!
Answer:
see below
Step-by-step explanation:
The student put 5 in for y and 1 in for x. It should be x=5 and y =1
y = 3x+2
1 = 3*5 +2
1 = 15+2
1 = 17
This is not true so this is not a solution
Answer:
see below
Step-by-step explanation:
The student put 5 in for y and 1 in for x. It should be x=5 and y =1
y = 3x+2
1 = 3*5 +2
1 = 15+2
1 = 17
This is not true so this is not a solution
What is the inverse of the function g(x) = x + 16?
Answer:
[tex]g {}^{ - 1} (x) = 2 \sqrt[3]{x - 16} [/tex]
choose (2)
4 out of 5 phones that are recycled, have cracks on the screens. If 30 phones got recycled today, how many probably had cracks on their screens?
Answer:
24
Step-by-step explanation:
The unit rate of 4:5 is 0.8 because 4 divided by 5 is 0.8
0..8 x 30= 24
calculate the compound interest on an investment of R6500 at 7,5% per annum invested for 3 years
Answer:
Compound interest = Rs 1,575 (Approx.)
Step-by-step explanation:
Given:
Amount invested = R.s 6,500
Rate of interest = 7.5% per annum
Number of year = 3 year
Find:
Amount of compound interest
Computation:
Compound interest = P[(1+r)ⁿ - 1]
Compound interest = 6500[(1+7.5%)³ - 1]
Compound interest = 6500[(1+0.075)³ - 1]
Compound interest = 6500[(1.075)³ - 1]
Compound interest = 6500[1.2423 - 1]
Compound interest = 6500[0.2423]
Compound interest = 1574.95
Compound interest = Rs 1,575 (Approx.)
In the figure, RV, WS, and QT intersect at point P.
What is the value of x? Show your work.
Answer:
x = 12
Step-by-step explanation:
67+42+6x-1=180
108+6x=180
6x=72
x=12
simplify
[tex] \sqrt{12} [/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\huge\boxed{2\sqrt{3}}[/tex]
»»————- ★ ————-««
Here’s why:
[tex]\boxed{\text{Simplifying the square root of 12}}\\\\\rightarrow\sqrt{12}\\\\\text{4 can be factored out of 12.}\\\\\rightarrow\sqrt{4(3)}\\\\\text{Two '2's can be factored out of 4.}\\\\\rightarrow\sqrt{2*2*3}\\\\\rightarrow\sqrt{2^2(3)}\\\\\text{Pulling out the terms from under the radical...}\\\\\rightarrow\boxed{2\sqrt{3}}[/tex]
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Quadrilateral HIJK is similar to quadrilateral LMNO. Find the measure of side OL. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.
Answer:
x = 77.5
Step-by-step explanation:
1. Use cross-multiplication to find x.
[tex]\frac{13}{21} =\frac{48}{x}[/tex]
[tex]13x =1008[/tex]
2. Divide and round.
x ≈ 77.5
If point A is between points Band C and AB = 26 and BC = 50, find AC.
24
66
78
16
Answer:
24
Step-by-step explanation:
if A is a point between B and C, then'
BA + AC = BC
GIven
AB = 26 and BC = 50
BA = 26
Substitute
26 + AC = 50
AC = 50 - 26
AC = 24
Hence thelength of AC is 24
PLZZZZ HELP I WILL MARK BRAINLIEST!!!
Answer:
41.1 feet of ribbon was leftover
(fraction form: 41 1/10)
Step-by-step explanation:
122 1/2 = 122.5
32 2/5 = 32 4/10 = 32.4
122.5 x 0.4 = 49
122.5 - 49 = 73.5
73.52 - 32.4 = 41.1
41.1
Answer:
Step-by-step explanation:
40% of 122.5 [tex](122\frac{1}{2})[/tex] is 49.
Equation: y=p%·x
p=40% x=122.5
Solve the equation for y.
y=p%·x
y=40%·122.5'
Converting percent to decimal.
p = 40%/100 = 0.4
y=0.4·122.5
y=49
[tex]49-32\frac{2}{5}[/tex]
[tex]49-\frac{162}{5}[/tex]
[tex]\frac{83}{5}[/tex]
[tex]16\frac{3}{5}[/tex]
Answer:
Exactly [tex]16\frac{3}{5}[/tex] feet of ribbon remains.
Find the approximate surface area of the cylinder below. Round your answer to the nearest tenth.
Lateral
7cm
5cm
cm?
..Its C right.????........
How much would you pay for a shirt that is marked at $85, but is on sale for 30% off? (no Tax)
Answer:
59.50
Step-by-step explanation:
What is the value of -4d2 + 15d2 = 5 for d = 1?
Answer:
Step-by-step explanation:
-4(1)^2 + 15(1)^2 =5
-4 + 15 = 5
since the equation is false, 15-4 does not equal 5 , then something has been left off the equation. look carefully , did you forget anything?
I NEED HELP RIGHT NOW PLEASE!!!!!
NO LINKS
Answer:
48
Step-by-step explanation:
The blank would be 48 because 3 times 4 is 12. 12 times 4 is 48. And 48 times 4 would be 192
how to convert 2km into SI unit
Answer:
km is a unit of distance
and si unit of distance is meters.(m)
1 km = 10³ m
•°• 2 km = 2 × 10³ m
in SI unit 2km = 2 × 10³ m or 2000 m
Victo scored 8, 10, 8, 9, and 10 points on his first five math quizzes. He calculated the median before and after he took the sixth quiz. The median did not change. How many points did he score on his sixth quiz? pls help!
Answer:
9
Step-by-step explanation:
the median is 9 and to keep it the same you put 9
Hope this helps!!!
The length of a rectangle is 10x² – 13x - 3 / 4x + 3 and the width is 4x² + 11x + 6 / 2x - 3 inches. Find the area of the rectangle.
Answer:
use this formula ot find area of rectangl 2l +2w
Perform the operation.
(4x^2 + 6x + 7) - (-8x^2 – 2x + 6)
[tex]12 {x}^{2} + 8x + 1[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex](4 {x}^{2} + 6x + 7) - ( - 8 {x}^{2} - 2x + 6) \\ = 4 {x}^{2} + 6x + 7 + 8 {x}^{2} + 2x - 6 \\ = 4 {x}^{2} + 8 {x}^{2} + 6x + 2x + 7 - 6 \\ = 12 {x}^{2} + 8x + 1[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PLEASEEEEEEEEEEEE im confused
Answer:
1.B,C,D
2.A,D,E
I don't really know how to explain it to you but thats your answer :D
pLEASE I BEG OF U HELP - ill give brainliest
Answer:
123 cm²
Step-by-step explanation:
You add the sum of all the faces in the shape
Answer:
Step-by-step explanation:
8 x 9= 72…. 3 x 8= 24…. 3 x 9= 27…. 72 x 2= 144…. 24 x 2= 48…. 27 x 2= 54… 144 + 48+ 54 = 246.
therefor Your answer is 246 cm2
I would really appreciate the help guys!
Answer: 6
Step-by-step explanation: The answer is 6
ill give brainliest to the correct answer
Answer:
7 x 4 = 28
28 x 1/2(dividing by 2) = 14, 14 x 2(two triangles) = 28
4 x 5 = 20(area of square in the middle)
5 x 8 = 40(area of square on one side), 40 x 2 = 80(area of squares on both sides)
Now lets add the given areas:
28 + 20 + 80 = 128 square is your answer.
(2x - 7y )( 2x + 7y )
Answer:
Step-by-step explanation:
(2x-7y)(2x+7y)
2x(2x+7y)-7y(2x+7y)
4x^2+14xy-14xy-49y^2
4x^2-49y^2
(2x)^2-(7y)^2
Answer:
[tex] {4x}^{2} - 49y^{2} [/tex]
Step-by-step explanation:
Use (a - b) (a + b) = a^2 -b^2 to simplify the product.
[tex](2x)^{2} - (7y)^{2} [/tex]
To raise the product to a power, raise each factor to that power:
[tex] {4x}^{2} - (7y)^{2} \\ {4x}^{2} - 49y^{2} [/tex]
please help me with this one
Step-by-step explanation:
15*8= 120
120/2= 60
60*13= 780
So its B.
What is the value of x?
56
89
360
104
If the three angles in a figure having four sides are 124°,76°,71° then the value of x is 89°.
Given the measure of three angles 124°,76°,71°.
We are required to find the value of x which is an angle of a quadrilateral.
Quadrilateral is a figure or shape that is having four sides and four angles.
We know that the sum of all four angles of a quadrilateral is 360°.
So the following expression will appear from the above rule:
x+124+76+71=360
Now solve the aove expression for the value of x.
x+271=360
x=360-271
x=89
Hence if the three angles in a figure having four sides are 124°,76°,71° then the value of x is 89°.
Learn more about angles at https://brainly.com/question/25716982
#SPJ1