Answer:
11
Step-by-step explanation:
On a fair six-sided die, there is a [tex]\frac{1}{6}[/tex] chance of rolling each number. Therefore, for each of the rolls, the number 6 has a [tex]\frac{1}{6}[/tex] chance of being rolled. This can be read as for every 6 rolls, one 6 should appear.
Since the die is being rolled 66 times, we have the following proportion:
[tex]\frac{1}{6}=\frac{x}{66}[/tex], where [tex]x[/tex] is the theoretical number of times a roll of "6" occurs.
Multiply both sides by 66:
[tex]x=\frac{1}{6}\cdot 66=\boxed{11}[/tex]
Pls help me with this problem
[tex]3x - 8 = 4x - 17 \\ \\ \sf \longmapsto \: 3x + 4x = - 17 + 8 \\ \\ \sf \longmapsto \: 7x = - 9 \\ \\ \sf \longmapsto \: x = \frac{ - 9}{7} [/tex]
A 12-member jury is to be selected from 15 men and 13 women. Find the probability that this jury has 6 or 7 males.
Answer:
The right solution is "0.5545".
Step-by-step explanation:
According to the question,
The probability of having 6 or 7 males will be:
= [tex]P(6 \ males)+ P(7 \ males)[/tex]
= [tex]\frac{15_C_6\times 13_C_6}{28_C_{12}} + \frac{15_C_7\times 13_C_5}{28_C_{12}}[/tex]
= [tex]\frac{5005\times 1716+6435\times 1287}{30421755}[/tex]
= [tex]\frac{16870425}{30421755}[/tex]
= [tex]0.5545[/tex]
Pls help i need help on this homework equation m% of n will mark brainliest
Answer:
m% of n is (m/100)(n)
Step-by-step explanation:
When removing a %, you just move the period two places to the left (ex. 50% = 0.50), or just divide the number by a 100 (ex. 50% = 50/100). So then, m% of n is just the product of m/100 and n.
Victoria has $200 of her birthday gift money saved at home, and the amount is modeled by the function h(x) = 200. She reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.05)x−1. Explain how Victoria can combine the two functions to model the total amount of money she will have in her bank account as interest accrues after she deposits her $200. Justify your reasoning.
WILL GIVE BRANLIEST
Solution :
Amount of money Victoria has = $200
The amount modelled by function = h(x) = 200
According to the function,
s(x) = (1.05)x - 1
It means that the total amount of the interest that Victoria will receive s(x) is equal to original amount of $200 which multiplied by the rate of interest (1.05) and then multiplied by the time that Victoria keeps the money in the bank (x) minus 1.
The total amount of money she will have in her bank account as interest accrues after she deposits her $200 is 200 [tex](1.05)^{x-1}[/tex]
Exponential functions
THe standrd exponential function is exprressed as:
y = a(1±r)^t
Given the following parameters
h(x) = a = 200
s(x) = [tex](1.05)^{x-1}[/tex]
Combining both expressions will given 200 [tex](1.05)^{x-1}[/tex]
Hence the total amount of money she will have in her bank account as interest accrues after she deposits her $200 is 200 [tex](1.05)^{x-1}[/tex]
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by selling a mobile set of rupees 4800 Ramesh gains 25% how much will have we gained by selling it at rupees 4080
Answer:
240
Step-by-step explanation:
Gain=25%
Gain=selling price - cost price
Gain = ((selling price - cost price )× 100)/ cost price
25c=(4800-c)100
25c=480000-100c
125c=480000
cost price = 3840
second statement
The selling price was 4080
Cost price 3840
therefore
Gain=selling price - cost price
Gain = 4080-3840
=240
Victoria's favorite cookie recipe uses 170170170 grams of butter for every 250250250 grams of flour. Victoria's daughter made cookies using 340340340 grams of butter for every 400400400 grams of flour. What will Victoria think of her daughter's cookies?
Answer:
Step-by-step explanation:
Victoria used : 170 g of butter for 250 g of flour.
So, 1 g of flour requires = 170/250 g of butter = 0.68 g of butter.
Victoria's daughter used: 340 g butter for 400 g flour
So, 1 g of flour requires = 340/400 g of butter = 0.85 g of butter
Thus, the cookies are not good made by the daughter as the butter is not in appropriate proportion.
Which graph represents an odd function?
y
6
4
.
2
.
O
-6..
4
-2.
2.
.
B
х
لند
4
9
TV
Answer:
the odd graph represented is
y
6
4
1st graph represents the odd function because it is symmetric about origin
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
For a function f to be odd, it should satisfy the following equation:
f(-x) = -f(x)
For a function f to be even
f(-x)=f(x)
The graph of an odd function will always be symmetric about the origin.
By observing the graphs we can say that:
1st graph is symmetric about origin and hence it is an odd function.
2nd graph is symmetric about y-axis.Hence it is not an odd function.
Hence, 1st graph represents the odd function because it is symmetric about origin
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If 1125 = 3^m × 5^n ;find the value of m and n.
9514 1404 393
Answer:
m = 2
n = 3
Step-by-step explanation:
1125 = 9·125 = 3^2 · 5^3
m = 2
n = 3
_____
Additional comment
Using divisibility rules, you can keep dividing by the obvious factors until the quotient is 1.
1125/5 = 225
225/5 = 45
45/5 = 9
9/3 = 3
3/3 = 1 . . . . . . 5 is a factor 3 times; 3 is a factor 2 times.
Horizontal and parallel lines e and f are cut by transversals c and d. All angles are described clockwise, from uppercase left. At the intersection of lines e and c, the angles are: 1, 2, 4, 3. At the intersection of lines f and c, the angles are 5, 6, 8, 7. At the intersection of lines e and d, the angles are: 9, 97 degrees, 12, 11.
At the intersection of lines f and d, the angles are 13, 14, 16, 15.
What is the measure of Angle15?
A. mAngle15 = 77°
B. mAngle15 = 83°
C. mAngle15 = 93°
D, mAngle15 = 97°
Answer:
jnkj
Step-by-step explanation:
jnojn[jn[
A force of 9 lb is required to hold 35lb crate on a hill. What angle does the hill make with the horizontal?
Answer: [tex]14.9^{\circ}[/tex]
Step-by-step explanation:
Given
Applied force is 9 lb to hold of 35 lb crate on a hill
Suppose the hill makes an angle of [tex]\theta[/tex] with horizontal
There will be two component of weights i.e. along and perpendicular to the hill
Only the component along the hill pulls the crate backwards
So,
[tex]\Rightarrow 35\sin \theta=9\\\\\Rightarrow \sin\theta =\dfrac{9}{35}\\\\\Rightarrow \theta =14.89^{\circ}\approx 14.9^{\circ}[/tex]
Find the equation of the line:
Answer:
y = -1/4x - 2
Step-by-step explanation:
y = -1/4x - 2
Complete the standard form equation representing the quadratic relationship displayed above, where a, b, and c are constants.
Answer:
Y =-10X +5
Step-by-step explanation:
x1 y1 x2 y2
1 -5 0 5
(Y2-Y1) (5)-(-5)= 10 ΔY 10
(X2-X1) (0)-(1)= -1 ΔX -1
slope= -10
B= 5
Y =-10X +5
Answer:
y = -2x2 + 8x + 5.
Step-by-step explanation:
How many units the function y = |x - 8| is translated from the parent function?
Answer:
8 Units, let me know if you didn't understand anything.
Step-by-step explanation:
Translation is the simple movement of just left, right, up or down. when dealing with the absolute value function here are the transformations.
A|B(x - C)| + D where A is the vertical stretch that multiplies all y values by A save where y=D. B is the horizontal shrink, so you divide all x values by B except for where x=C. C is the horizontal shift, which is a translation. C makes ALL points on the graph move to the right by C or if C is negative it moves them to the left. it could also look like |x + C|. keep in mind, +C is actually -C because - -C = C. D shifts up and down, so it is also a translation. if D is positive it moves up and if D is negative it moves down.
Nowthe only transformation in your problem is -8, which is a horizontal shift to the right. so the graph moves 8 to the right. There is your answer, 8 units.
A school in Delhi has its own flag, which is rectangular and divided into 4 rows and 6 columns. The word ‘SCHOOL' is inscribed in the first row, ‘FLAG' in the fourth row, and a purple coloured rhombus is in the middle
The question is incomplete. The complete question is :
A school in Delhi has its own flag, which is rectangular and divided into 4 rows and 6 columns. The word ‘SCHOOL’ is inscribed in the first row, ‘FLAG’ in the fourth row, and a purple colored rhombus is in the middle, as shown in the given figure.
Based on this picture of the school flag, answer the following questions:
(a) What fraction of the flag has the purple rhombus?
Solution :
From the figure, the total number of squares in the flag of 4 rows and 6 columns are : 4 x 6 = 24 blocks
The purple colored rhombus is made on the half of the 4 blocks.
i.e. [tex]$\frac{1}{2} \times 4 = 2\ \text{blocks}$[/tex]
Therefore, the fraction of the flag that has the purple rhombus is :
[tex]$=\frac{2}{24}$[/tex]
[tex]$=\frac{1}{12}$[/tex]
Which of the following answer choices correctly expresses the number 64?
A. 4'6
B. 4'5
C. 4'4
D. 4'3
Answer:
4’3
Step-by-step explanation:
Took test
Answer:
4’3
Step-by-step explanation:
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Answer: Advertisement?
Do I need an explanation? : Y e s I d o
Triangle ABC is shown below with line DE passing through the center:
Triangle ABC is shown with line DE running horizontally through the center of the figure.
If triangle ABC is dilated by a scale factor of three about the center of the triangle, dilated line D'E' will (6 points)
be parallel to the original line
shift three units to the right
be perpendicular to the original line
pass through points D and E
Answer:
D'E' be parallel to the original line
Step-by-step explanation:
Given
[tex]\triangle ABC[/tex]
Line [tex]DE[/tex]
[tex]k = 3[/tex] -- scale factor
Required
The relationship between [tex]DE[/tex] and [tex]D'E'[/tex]
When [tex]\triangle ABC[/tex] is dilated by a scale factor of 3, [tex]\triangle A'B'C'[/tex] will be three times as big as [tex]\triangle ABC[/tex].
Also:
Line [tex]D'E'[/tex] will be three times as long as [tex]DE[/tex]
Since no further transformation is done on [tex]\triangle ABC[/tex] and line [tex]DE[/tex], then [tex]D'E'[/tex] will be parallel to [tex]DE[/tex]
y = -4(x + 6)(x - 8)
How do you write this in standard form?
Answer:
[tex]y = -4x^2 + 8x + 192[/tex]
Step-by-step explanation:
Hi there!
Standard form: [tex]y=ax^2+bx+c[/tex]
[tex]y = -4(x + 6)(x - 8)[/tex]
Use the distributive property to multiply (x+6) and (x-8)
[tex]y = -4(x(x - 8) + 6(x - 8))\\y = -4(x^2 - 8x + 6x - 48)\\y = -4(x^2 - 2x - 48)[/tex]
Multiply the parentheses by -4
[tex]y = -4x^2 + 8x + 192[/tex]
I hope this helps!
Match the number with its opposite -5.4
ILL GIVE BRAINLEST!!! An ice cream shop sold a combined total of 429 ice cream cones in the flavors of
chocolate or vanilla. They sold 105 more chocolate cones than vanilla. How many vanilla
ice cream cones did they sell?
Answer:
They sold 162 vanilla cones.
Step-by-step explanation:
429-105=324
324/2=162
162+105=267 (chocolate)
267(chocolate)+162(vanilla)=429(total)
which of the following is not a rational number
A.2
B.-3
C.0.5
they are all rational..
Brown’s time for running a mile in gym class is 9.9 minutes, Ray’s time is 9.47 minutes and Malcolm’s time is 9.76 minutes. Who ran the mile in less time?
Given:
Brown’s time for running a mile in gym class = 9.9 minutes
Ray’s time for running a mile in gym class = 9.47 minutes
Malcolm’s time for running a mile in gym class = 9.76 minutes
To find:
Who ran the mile in less time?
Solution:
It is given that the time taken by Brown, Ray and Malcolm to cover a mile are 9.9 minutes, 9.47 minutes and 9.76 minutes respectively.
9.47 < 9.76 < 9.9
Since, 9.47 minutes is the lowest time, therefore Ray can run a mile in less time.
. State the length of the missing side. Note: This quadrilateral is a parallelogram.
7.7
Step-by-step explanation:
In a parallelogram opposite sides are congruent.
The length of the missing side TQ in the parallelogram is 7.7.
Here, we have, from given figure that, SRQT is a parallelogram.
now, we have,
To find the length of the missing side TQ in the parallelogram,
we can use the properties of a parallelogram.
In a parallelogram, opposite sides are equal in length.
Therefore, we can determine the length of TQ by finding the length of its opposite side, SR.
Given that SR = 7.7,
we know that TQ must also have a length of 7.7.
So, we get,
the length of the missing side TQ in the parallelogram is 7.7.
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To the nearest tenth of a second, the ball is in the air for s.
Answer:
2.4
Step-by-step explanation:
Took the assignment
Answer:
2.4 seconds is the correct answer.
Step-by-step explanation:
Just completed it.
PLEASE DO THIS ASAP! MUST SHOW WORK!
NO LINKS
Answer:
P = 64 meters
Step-by-step explanation:
P = 2(l+w)
l = 14 and w = 18
P = 2(14+18)
P = 2( 32)
P = 64 meters
Perimeter of rectangle = 2 ( L + B )
L represents length of rectangle. B represents breadth of rectangle. So ,L = 14 metersB = 18 metersNow , Substuting the valuesPerimeter of rectangle = 2 ( 14 + 18 )
Perimeter of rectangle = 2 ( 32 )
Perimeter of rectangle = 64 meters.
Write an equation for the line that passes through (-5, 4) and (-4, 2).
Answer:
y = - 2x - 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, 4) and (x₂, y₂ ) = (- 4, 2)
m = [tex]\frac{2-4}{-4-(-5)}[/tex] = [tex]\frac{-2}{-4+5}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 4, 2 ) , then
2 = 8 + c ⇒ c = 2 - 8 = - 6
y = - 2x - 6 ← equation of line
Can someone help me out
Answer: [tex]V=3369.3ft^3[/tex]
Step-by-step explanation:
[tex]V=\frac{4}{3}\pi r^3\\V=\frac{4}{3}\pi (9.3)^3\\V=3369.3ft^3[/tex]
What is the explicit formula for the geometric sequence with this recursive formula
Answer:
Hello,
Answer A
Step-by-step explanation:
[tex]a_1=-6\\\\a_2=a_1*(\dfrac{1}{4} )^1\\\\a_3=a_2*(\dfrac{1}{4} )^1=a_1*(\dfrac{1}{4} )^2\\\\\\\\a_n=a_1*(\dfrac{1}{4} )^{n-1}\\\\Answer\ A\\[/tex]
please help me (geometry)
What is the fraction called that is used to convert one unit to another?
Answer:
ratio
Step-by-step explanation:
by using a conversion factor and a fraction, a ratio can be created to convert one unit to another.
