Answer:
The experimental probability of spinning a number less than 2
P( x<2) = 0.14
Step-by-step explanation:
Given data table
x 7 10 8 8 8 9 = total 50
P(X=x) [tex]\frac{7}{50} = 0.14[/tex] [tex]\frac{10}{50} = 0.2[/tex] [tex]\frac{8}{50} = 0.16[/tex] [tex]\frac{8}{50} = 0.16[/tex] [tex]\frac{8}{50} = 0.16[/tex] [tex]\frac{9}{50} = 0.18[/tex]
Sum of the probabilities is equal ∑x P(x=x)
= 0.14 +0.2 +0.16 +0.16+0.16 +0.18
=1
Given data table
spinning
a spinner 1 2 3 4 5 6
x 7 10 8 8 8 9
P(X=x) 0.14 0.2 0.16 0.16 0.16 0.18
The experimental probability of spinning a number less than 2
P( x<2) = P( x=0) +P(x=1)
= 0 + 0.14
The experimental probability of spinning a number less than 2
P( x<2) = 0.14
WILL GIVE BRIANLIEST FOR THE FIRST ANSWER! The solution to an equation is [tex]n=-5[/tex]. The equation has parentheses on at least one side of the equation and has variables on both sides of the equation. What could the equation be?
Answer:
1*2(3-2n) = 2(n-2)
Thanks for giving question. I am working my way up to brainliest and Master Answerer
PLZZZZZZZZZZZZZZZZZZZ ANSWER THIS QUESTION I WILLL MARK BRAINLIEST
Answer:
Okay, so, your picture kinda blurry but I'll still help you:
to find y intercepts you just see where the line crosses the y axis and write the coordinate down for each line.
To find the gradient, just pick two points on a line and do
1)the difference between both y axis points
2)the difference between the x axis points
and then divide 1) by 2) to get the gradient.
Hope this helps!!
make r the subject of the formula t=r/r-3
Answer:
r = t(r-3)
Step-by-step explanation:
t = r/r-3
r/r-3 = t
r = t x (r-3)
4. The interior angles of a triangle are 60°, 45° and 75°. The shortest side is 10 cm less than the
longest side. Determine the perimeter of the triangle to the nearest cm.
Answer:
Step-by-step explanation:
The length of each side corresponds to the sizes of each angle respectively.
To determine the length of each side, we would apply sine rule which is expressed as
a/sinA = b/SinB = c/SinC
The diagram of the triangle is shown in the attached photo. The longest side is c. If the shortest side is 10 cm less than the longest side, it means that the length of the shortest side is c - 10
Therefore,
c/Sin75 = (c - 10)/Sin45
c/0.966 = (c - 10)/0.707
Cross multiplying, it becomes
c × 0.707 = 0.966(c - 10)
0.707c = 0.966c - 9.66
0.966c - 0.707c = 9.66
0.259c = 9.66
c = 9.66/0.259
c = 37.3 cm
The shortest side is
37.3 - 10 = 27.3 cm
Applying the sine rule again,
b/Sin60 = 37.3/Sin75
b/0.866 = 37.3/0.966
Cross multiplying, it becomes
0.966b = 0.866 × 37.3
b = 32.3018/0.966
b = 33.4 cm
The perimeter is
27.3 + 33.4 + 37.3 = 98 cm
Which equation can be solved using the expression StartFraction negative 3 plus-or-minus StartRoot (3) squared + 4 (10) (2) EndRoot Over 2 (10) EndFraction for x?
Answer:
A quadratic equation
Step-by-step explanation:
Given
[tex]\frac{-3 +- \sqrt{3^2 + 4(10)(2)}}{2(10)}[/tex]
Required
Which equation can be solved using the above expression
Using the above expression, the equation that can be solved is the roots of a quadratic equation
The general format of the roots of a quadratic equation is given as
[tex]x= \frac{-b +- \sqrt{b^2- 4ac}}{2a}[/tex]
When [tex]x= \frac{-b +- \sqrt{b^2- 4ac}}{2a}[/tex] is compared to [tex]\frac{-3 +- \sqrt{3^2 + 4(10)(2)}}{2(10)}[/tex], one would observe that they have the same format;
Solving [tex]\frac{-3 +- \sqrt{3^2 + 4(10)(2)}}{2(10)}[/tex] further to get the values of x
[tex]x = \frac{-3 +- \sqrt{3^2 + 4(10)(2)}}{2(10)}[/tex]
[tex]x = \frac{-3 +- \sqrt{9 + 4*10*2}}{2*10}[/tex]
[tex]x = \frac{-3 +- \sqrt{9 + 80}}{20}[/tex]
[tex]x = \frac{-3 +- \sqrt{89}}{20}[/tex]
So;
[tex]x = \frac{-3 + \sqrt{89}}{20} \ or \ x = \frac{-3 - \sqrt{89}}{20}[/tex]
Answer:
B) 2 = 3x + 10[tex]x^{2}[/tex]
Step-by-step explanation:
took the test
Topic: Probability
Only complete question 7.
Answer:
see below
Step-by-step explanation:
Pls help with this (im not trying to be annoying)
which number is one less than a cube number?
20
22
24
26
The number less than a cube is 26.
What is cube of a number?The cube of a number is obtained by multiplying the number three times.
Determine the cube of 3.
3·3·3=27
So, the cube of 3 is 27.
From the given options it can be observed that the number 26 is 1 less than 27.
Thus, the number one less than cube is 26.
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How would you go on dividing 7/893
Answer:
0.00783874
Step-by-step explanation:
7/893= 0.00783874
I just put it in the calculator
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answer:
JKM AND GHK
Step-by-step explanation:
THE SUM OF THE TWO ANGLES IS 180°
_______________________________
Hey!!
The supplementary angles are <IHK and < IHF
Supplementary angles are those angles which is exactly 180 degree.
Hope it helps..
Solve for x in the equation 3 x squared minus 18 x + 5 = 47.
(I need this to be an answer like X=3+\_ square root 23)
Answer:
(4+√142)/(3) or x=(4-√142) /3
Step-by-step explanation:
(4+√142)/(3) or x=4-√142 /3
UN RECOLECTOR COMPLETA CUATRO CAJAS DE CAFE CADA CAJA LE CAVE 25/2 DE KILOGRAMOS DE CAFE SI SE RECOJE DIARIAMENTE CUATRO CAJAS¿CUANTOS KILOGRAMOS DE CAFE RECOJE EN TOTAL?
Answer:
El recolector recoge un total diario de 50 kilogramos.
Step-by-step explanation:
(The following problem is written in Spanish and for such reason explanation will be held in the same language)
La masa total diaria recogida es igual al número de cajas recogidas por día y la capacidad de la caja. Entonces:
[tex]m = n \cdot m_{unit}[/tex]
[tex]m = (4\,cajas)\cdot \left(\frac{25}{2}\,\frac{kg}{caja} \right)[/tex]
[tex]m = 50\,kg[/tex]
El recolector recoge un total diario de 50 kilogramos.
The length of a rectangle is 11 less than 9 times the width. The
perimeter of the rectangle is 18 inches.
Answer:
Length = 7 Width = 2
Step-by-step explanation:
L = Length
W = Width
L=9w-11
2L+2W=18
2(9W-11) + 2W = 18
18W - 22 +2W = 18
20W -22 = 18
20W = 40
W = 2
L = 9(2)-11
L=18-11
L=7
The length and width of the rectangle is equals to 7inches and 2inches respectively.
What is rectangle?" Rectangle is defined as the quadrilateral whose opposite sides are congruent and parallel to each other , one of the interior angle is of measure 90°."
Formula used
Perimeter of the rectangle = 2 (length + width)
According to the question,
Given,
Perimeter of the rectangle = 18inches
'x' represents the width of the rectangle
As per the condition given,
Length of the rectangle = [tex]9x -11[/tex]
Substitute the value in the formula we get,
[tex]2(9x -11 +x)=18[/tex]
⇒[tex](10x-11)=\frac{18}{2}[/tex]
⇒[tex]10x= 9+11[/tex]
⇒[tex]x= 2inches[/tex]
Length of the rectangle = [tex]9(2)-11[/tex]
= [tex]18-11[/tex]
= [tex]7inches[/tex]
Hence, length and width of the rectangle is equals to 7inches and 2inches respectively.
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HELP PLSSSSSS I NEED TO GET THIS DONE
Answer:
1). a = 10, b = 6
2). a = 5, b = 3, c = 8
Step-by-step explanation:
Given expression is,
1). [tex]\frac{7^{6}\times 7^8}{7^4}[/tex] = [tex]\frac{7^a}{7^4}=7^4[/tex]
= [tex]\frac{7^{2+8}}{7^4}[/tex] [Since [tex]x^{m}\times x^n=x^{(m+n)}[/tex]]
= [tex]\frac{7^{10}}{7^4}[/tex]
= [tex]7^{{10-4}}[/tex]
= [tex]7^{6}[/tex]
Therefore, a = 10 and b = 6
2). [tex]\frac{2^5}{4}=\frac{2^5}{2^a}=2^b=c[/tex]
= [tex]\frac{2^5}{2^2}[/tex]
= [tex]2^{{5-2}}[/tex]
= [tex]2^{3}[/tex]
= 8
Therefore, a = 5, b = 3 and c = 8
Find the sum of ( 1- 1/n) + (1 - 2/n) + ( 1 - 3/n)...upto n terms
Answer:
(n-1) / 2
Step-by-step explanation:
We have that the sum has the form of:
Sn = n / 2 [2 * a + (n-1) * d]
we compute the terms of a and d
a = 1 - 1 / n
a = (n - 1) / n
, that is, the first term, in the case d is the subtraction between the second and the first term, thus:
d = 1 - 2 / n - (1 - 1 / n)
d = 1 - 2 / n - 1 + 1 / n
d = - 1 / n
now if replacing these values:
Sn = n / 2 * [2 * (n - 1) / n + (n-1) * (- 1 / n)
Sn = n / 2 * [2 * (n-1) - (n-1)] / n
Sn = 1/2 * (n-1)
Therefore, the value of that sum is (n-1) / 2
Two of the opposite vertices of a square have the coordinates (4, - 4) and ( - 3, 3) respectively as shown on the grid below. Which of the following are the coordinates of the OTHER two vertices of the square?
Answer:
(4 , 3 ) and (-3 , -4)
Step-by-step explanation:
Other two vertices will be in 1st quadrant and 3 rd quadrant
Answer: (4 , 3 ) and (-3 , -4)
Step-by-step explanation: Other two vertices will be in 1st quadrant and 3 rd quadrant
I WILL GIVE YOU BRAINLIEST!!!!!
Answer: C
Step-by-step explanation:
If you look at the patterns in the table, you will notice that y is always the square of x. So y = x^2 (C)
Answer:
c
Step-by-step explanation:
When you multiply any negative number by any power the answer is the same as the positive of that number.Just make sure you put it in like this into the calculator:
[tex](-4)^{2}[/tex]
The points (-3, 5) and (3,5) are two verticles of a square. list all other order pairs that could be the other two verticles of the square.
Answer:
((-3,-1),(3,-1)),((-3,11),(3,11))
Step-by-step explanation:
The distance between the two vertices is 6
So, add 6 and minus 6 to the y coordinates.
Answer:
( - 3, - 1 ), ( 3, - 1 ) / ( - 3, 11 ), ( 3, 11 )
Step-by-step explanation:
Let us first consider the distance between points ( - 3, 5 ) and ( 3, 5 );
[tex]( - 3, 5 ), ( 3, 5 )\\Distance = 3 + 3 = 6 units[/tex]
If these are points that are vertices of the square, it should be that the other 2 points are 6 units farther from these points;
[tex]Distance = 6 units,\\( - 3, 5 ) - ( - 3, - 1 )\\( 3, 5 ) - ( 3, - 1 )[/tex]
[tex]Distance = 6 units,\\( -3, 5 ) - ( - 3, 11 )\\( 3, 5 ) - ( 3, 11 )[/tex]
Let us confirm ( -3, - 1 ) and ( 3, - 1 ) are 6 units apart, respectively ( -3, 11 ) and ( 3, 11 ) to say they are the other two vertices;
[tex]( - 3, - 1 ), ( 3, - 1 )\\Distance = 3 + 3 = 6 units[/tex]
[tex]( -3, 11 ), ( 3, 11 )\\Distance = 3 + 3 = 6 units[/tex]
Thus, the possible vertices are ( - 3, - 1 ) and ( 3, - 1 ) or ( - 3, 11 ) and ( 3, 11 )
Kerry read 2/3 of her chemistry book containing 420 pages. David read 3/4 of the same. Who read more pages and by how many pages?
Answer:
Kerry = 2/3 * 420 = 280
David = 3/4 * 420 = 315
David read more pages compared to Kerry.
David read 35 more pages than Kerry.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Chemistry book contains 420 pages.
Kerry read 2/3 of her chemistry book,
= 2/3 x 420
= 280 pages.
David read 3/4 of her chemistry book,
= 3/4 x 420
= 315 pages.
315 - 280 = 35 pages.
Therefore, David read more pages.
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Share 35 sweets in the ratio 4:3
number sweet is 35
we divided ratio =4x:3x
total = 4x+3x
7x= 35
= 35/7
x= 5
1 st part will be 4x = 4*5= 20 sweets.
2 nd part will be 3x = 3*5= 15sweets
=ñ
= 80° and m
= 40°, then m
<1 =
VU
ST
60
20
40
Answer:
Option (2).
Step-by-step explanation:
In the figure attached,
PB is a tangent and m(arc VU)= 80°, m(arc ST) = 40°
By theorem of angle between intersecting secants,
"If two secants have been drawn to a circle from a point outside the circle, then the angle between the secants will measure the half of the difference of the intercepted arcs."
[tex](m\angle 1)=\frac{1}{2}(m\widehat{VU}-m\widehat{ST})[/tex]
[tex]=\frac{1}{2}(80-40)[/tex]
= 20°
Therefore, Option (2) will be the answer.
City Middle School held its annual musical production last weekend. Of the 700 tickets sold, 55% were for the Saturday performance. How many tickets were sold for the Saturday show?City Middle School held its annual musical production last weekend. Of the 700 tickets sold, 55% were for the Saturday performance. How many tickets were sold for the Saturday show?
Answer: 385 tickets
Step-by-step explanation:
From the question, City Middle School held its annual musical production last weekend and of the 700 tickets that were sold, 55% were for the Saturday performance. The number of tickets that were sold for the Saturday show will be 55% of 700. This can be expressed mathematically as:
= 55% of 700
= 55/100 × 700
= 55 × 7
= 385 tickets
385 tickets were sold for the Saturday show.
Answer:
ITS IS A= 385
Step-by-step explanation:
If 153 = 2 (z +z)n, then what is the value of 4nz + 20
Answer:
The value of 4 n z + 20 = 173
Step-by-step explanation:
Explanation:-
Given 153 = 2 (z +z )n
2 ( z + z) n = 153
2 ( 2 z ) n = 153
4 z n = 153
Adding '20' on both sides , we get
4 z n + 20 = 153 + 20
4 z n + 20 = 173
Final answer:-
The value of 4 n z + 20 = 173
Please do quickly Thank you
Answer:
21x+4
Step-by-step explanation:
To find the perimeter you have to add up all the sides
can you please help me with functions
Option D is the right answer
(-1,4),(1,7),(2,10)
It is a function because input X values have its unique output y values.
hope it helps
Good luck on your assignment
acute angle of rhombus whose side is a mean proportional between the diagonal is mean proportional of a and b is root ab
Answer:
Step-by-step explanation:
Find the equation of a line which passes through (2,3)and is perpendicular to y-3x+1=0.give your answer in the form y=mx+c
Answer:
3x - 1 = 0
Step-by-step explanation:
3x + 1 = 0
The perpendicular of a line has a slope that is the negative reciprocal of that lines slope.
So the answer is 3x - 1 = 0
Can someone explain me how to find square root by prime factorization ?
Answer:
STEPS Step I: Obtain the given number. Step II: Resolve the given number into prime factors by successive division. Step III: Make pairs of prime factors such that both the factors in each pair are equal. Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors. Step IV: Take one factor from each pair. Step V: Find the product of factors obtained in step IV. Step VI: The product obtained in step V is the required square root.ExampleFind the square root of 324
324 = 2 x 162 = 2 x 2 x 81 = 2 x 2 x 3 x 27 = 2 x 2 x 3 x 3 x 9 = 2 x 2 x 3 x 3 x 3 x 3 ∴ √324 = √( 2 x 2 x 3 x 3 x 3 x 3 ) √324 = 2 x 3 x 3 √324 = 18someone help plz :(((( !!!
Answer: 9/4a^2|b^3|c^4
Step-by-step explanation:
81/16
Square root(81) = 9
Square root(16) = 4
9/4
Since 4 is the index of the radical, all of the exponents divide by 4
(index 4)a^8 = a^2
(index 4)b^12 = b^3
(index 4)c^16 = c^4
Now put the variables together to get the answer:
9/4a^2|b^3|c^4
point A (-3,-5) and point M is at (-1,-7) what are the coordinates point of be
point M is the midpoint off point A and point B
Answer: B = (1,-9)
Step-by-step explanation:
[tex]x_M=\frac{x_A+x_B}{2} \\\\y_M=\frac{y_A+y_B}{2} \\\\\\x_B = 2x_M-x_A=2(-1)-(-3)=1\\\\y_B = 2y_M-y_A=2(-7)-(-5)=-9\\[/tex]
Answer:
the answer is b
Step-by-step explanation:
