Answer:
a. x is 55
b. 20 white marbles
Step-by-step explanation:
Question: A box contains 60 identical marbles where 'x' of them are red while the rest are white; (given that in the original question, the box only contains red and yellow marbles, the yellow can be replaced by white to explain the question idea)
a. The number of identical marbles in the box, n = 60
The number of red marbles = x
The number of white marbles = The rest of the marbles which are not red
The probability that a marble drawn is white, P(y) = 1/12
Let 'y' represent the number of white marbles
From probability theory, we have;
The number of white marbles, y = n × P(y) = 60 × 1/12 = 5
The number of red marbles, x = n - y = 60 - 5 = 55
x = 55
b. The number of white marbles that must be added to make the probability of choosing a white marble = 5/16 is given as follows;
Let Δy represent the number of white marbles added, therefore;
P(y) = (y + Δy)/(y + Δy + x)
∴ P(y) = (5 + Δy)/(5 + Δy + 55) = 5/16
5 × (60 + Δy) = 16 × (5 + Δy)
300 + 5·Δy = 80 + 16·Δy
16·Δy - 5·Δy = 300 - 80
11·Δy = 220
Δy = 220/11 = 20
The number of white marbles that must be added, Δy = 20 white marbles
Select the correct answer.
Write an expression to represent the product of 6 and the square of a number plus 15.
In your expression, what is the value of the coefficient?
A. 6
B. 15
C. 1
D. 2
A pie chart is being made with four sectors. Each sector will be a certain percentage of the total area. The table below shows the size of each sector as a percentage of the total area. Sector 1 = 5%
Sector 2 =30%
Sector 3 = 50%
Sector 4 = 15%
What will be the measure of the central angle of sector 4?
A. 27°
B. 54°
C. 5.4°
D. 57°
Answer:
B. 54°
Step-by-step explanation:
There are 360° in a circle and sector 4 consists of 15% of it.
We just have to multiply the 2 numbers.
15% = 0.15
0.15(360) = 54
In the diagram below, OPis circumscribed about quadrilateral ABCD. What is
the value of x?
Answer:
x+10+88=180
x. =180-98
x. =82
Ninas car exponentially depreciate at a rate of 8% per year. If Nina bought the car when it was 6 years old for 12,045 , what was the original price
Answer: $19,864.60
Step-by-step explanation:
The future value formula could have been used to find the price in the 6th year. As we now know the price, the formula can now be used to find the original price.
Price at 6th year = Original price * ( 1 + rate) ^ number of years
12,045 = Og * ( 1 - 8%) ⁶
12,045 = Og * 0.606355001344
Og = 12,045 / 0.606355001344
Og = $19,864.60
Rate is subtracted because price was reducing.
I need help ASAP!!! 40points!!!
Answer: rfthhhhh
Step-by-step explanation:
Answer:
what
Step-by-step explanation:
find the length, width, area, and perimeter of a rectangle where the length is 5 units more than the width and the perimeter is 9 times the width
Step-by-step explanation:
L= W+5
P= 9W
P= 2L+ 2W
9W= 2(W+5) + 2W
9W= 2W +10 +2W
9W = 4W +10
5W = 10
W = 2
L=7
P= 9(2)
P= 18
A= LW
A= 7 x 2
A= 14
Could you help me answer this questions?
Answer:
C, D, B.
Step-by-step explanation:
y=mx+b
look at what numbers are in the variable spots.
Find the y-intercept for the parabola defined by
this equation:
y=-6x² – 7x – 2
Separate the values with a comma.
Answer:
the y intercept will be the c value of the parabola so the y intercept is -2, (0,-2)
Step-by-step explanation:
You and your family are driving to the Wild Animal Park in Escondido, CA. The distance from your house to the park is 528 miles. You hope to get there in 8 hours of driving time. What would be your average driving speed. Explain your thinking
Answer:
66 m/h
average speed = distance / time
528/8 = 66m/h
Step-by-step explanation:
1% of what number is 4?
Answer:
400.
Step-by-step explanation:
4 x 100 = 400
What is g(x)?
A. g(x) = -x
B. g(x) = -2
C. g(x) = -1
D. g(x) = x²
Answer:
C. g(x) = -|x|
Step-by-step explanation:
|x| is an upwards v centered at the origin
- |x| is a downwards v centered at the origin
please solve the question with the process
Answer:
Step-by-step explanation:
1-2(2x+1)=1-(x-1)
-1(2x+1)=1-(x-1)
-2x-1=1-x-1
-2x+x=0+1
-x=1
x=-1
HELP MEEEEE
Find the percent of increase from 3 inches to 7.5 inches.
Answer:
150% increase
Identify the correct phrase to complete the statement.
A central angle has a measure of 1 radian if the length of the intercepted arc is ___.
A. 6.28 units
B. the same as the length of the diameter
C. the same as the length of the radius
D. pi/4 units
A central angle has a measure of 1 radian if the length of the intercepted arc is the same as the length of the radius.
What is the measure of 1 radian?One radian is the measure of a central angle that intercepts an arc s equal in length to the radius r of the circle. Since the circumference of a circle is 2πr, one revolution around a circle of radius r corresponds to an angle of 2π radians because of sr⇒2πrr=2π radians.
Learn more about radian here https://brainly.com/question/19758686
#SPJ2
Answer in simplest from
Answer:
5 4/5
Step-by-step explanation:
Answer:
6 1/10
Step-by-step explanation:
Add 4 1/2 and 1 3/5. To add that, you need to multiply the denominators and the numerators, in this case that equals 10. So then add the fractions first 5/10+ 6/10=11/10. Since that is an improper fraction, add +1 to the hole numbers, so you answer would be 6 1/10
PLEASE HELP ME I'M FALLING PLSSS
Answer:
the value of x equals 11.25°
Step-by-step explanation:
6x + 2x =90°
8x=90°
---------
x=90/8
x=11.25°
what is 10^x=1/100?
solve for x
Answer:
10^x=1/100
10^x=10^-10
x=-10
Step-by-step explanation:
Please help me with all 6 questions ASAP DUE SOON AND SHOW WORK !!!!
Answer:
654 mutiply 78 plus is 28
Answer:
7. V = pi(r)^2(h)
V = pi(7)^2(20)
V = 3078.76
8. Same formula as 7.
V = 502.65
10. Same formula again
V = 62.83
11. V = 4/3*pi(r)^3
V = 4/3*pi(6)^3
V = 904.78
look at the attached question and answer it with steps and explanation pls...... best and correct answer will be marked brainliest.
Answer:
There ya go, gotta love mathaway :P
#1: Find the area of the triangle shown below.*
6 ft
14 ft
Answer:
42 Square feet
Step-by-step explanation:
A=(1/2)bh
A=(1/2)(14)(6)
A=42
Find the area of the trapezoids. What is the Area of the trapezoids
A= Square units
Answer:
[tex]area = area \: of \: rectangle + area \: of \: triangles \\ = (6 \times 2) + ( \frac{1}{2} \times 6 \times 2) + ( \frac{1}{2} \times 6 \times 4) \\ = 12 + 6 + 12 \\ = 30 \: sq \: units[/tex]
Answer:
30
Step-by-step explanation:
can you help me with this problem please?
Answer:
PR = 2*36 = 72
SU = (1/2)54 = 27
RS = 36
Step-by-step explanation:
By the Midpoint Theorem, the argent that connects midpoints of the sides of a triangle equals half the parallel side. That said,
PR is the full side that corresponds to midpoint segment TU. Therefore it's twice the distance of TU.SU is the midpoint segment that corresponds to fill side PQ and therefore half the distance.RS is half the the length of PR since S is the midpoint.please provide an answer
Answer:
[tex]<D=95[/tex]
Step-by-step explanation:
The opposite angles in a quadrilateral theorem states that when a quadrilateral is inscribed in a circle, the angles that are opposite each other are supplementary, their degree measures add up to 180 degrees. One can apply this here by using the sum of (<C) and (<A) to find the measure of the parameter (z). Then one can substitute in the value of (z) to find the measure of (<B). Finally, one can use the opposite angles in a quadrilateral theorem to find the measure of angle (<D) by using the sum of (<B) and (D).
Use the opposite angles in an inscribed quadrialteral theorem,
<A + <C = 180
Substitute,
14x - 7 + 8z = 180
Simplify,
22z - 7 = 180
Inverse operations,
22z = 187
z = [tex]\frac{187}{22}[/tex]
Simplify,
z = [tex]\frac{17}{2}[/tex]
Now substitute the value of (z) into the expression given for the measure of angle (<B)
<B = 10z
<B = 10([tex]\frac{17}{2}[/tex])
Simplify,
<B = 85
Use the opposite angles in an inscribed quadrilateral theorem to find the measure of (<D)
<B + <D = 180
Substitute,
85 + <D = 180
Inverse operations,
<D = 95
The weight of a newborn baby panda weights 2.2 x 10-1 pounds. If an adult panda can weigh up to 1.2103 times more than a newborn panda how many pounds does an adukt panda weigh
Answer: [tex]0.4862\ \text{Pounds}[/tex]
Step-by-step explanation:
Given
Weight of a newborn baby is [tex]2.2\times 10^{-1}\ \text{pounds}[/tex]
If an adult panda weighs up to 1.2103 times more than a newborn panda
Then weight of an adult is given by
[tex]\Rightarrow 2.2\times 10^{-1}+2.2\times 10^{-1}\times 1.2103\\\Rightarrow 2.2\times 10^{-1}+2.6626\times 10^{-1}\\\Rightarrow 0.4862\ \text{Pounds}[/tex]
‼️ PLEASEEE HELPPPP ‼️
Answer: answer is in the photo
Step-by-step explanation:
Answer:
x=7
Angle = 102
Step-by-step explanation:
Both angles are congruent, meaning they have the same measure.
Set your formula up as
15x-5=13x+9
15x=13x+9+5
15x-13x=9+5
2x=14
x=14/2
x=7
Now plug in 7 for x
15x-3
15*7-3
105-3
102
Find the value of x.
Answer:
x = 4
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
(19x + 3)° is an exterior angle of the triangle, then
11x - 2 + 9x + 1 = 19x + 3
20x - 1 = 19x + 3 ( subtract 19x from both sides )
x - 1 = 3 ( add 1 to both sides )
x = 4
Todd bags fruit. He has
483 oranges, 822 apples,
199 pears, and 552
bananas. If he puts
8 pieces of fruit in each
bag, how many bags can
he make?
Answer:
60
Step-by-step explanation:
hope it helps!
Answer pls
The hint part also
PLEASE HELP ME ASAP!! What is the value of x in simplest radical form? х 13 84
Answer:
x =2[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Use pythag to create your equation.
x^2+5^2=7^2
x=[tex]\sqrt{24}[/tex]
In simplest radical form: x =2[tex]\sqrt{6}[/tex]
what is the answer for this word problem??
The school that Scott goes to is selling tickets to a play. On the first day of ticket sales the school sold 9 adult tickets and 4 student tickets for a total of $177. The school took in $73 on the second day by selling 1 adult ticket and 4 student tickets. Find the price of an adult ticket and the price of a student ticket.
Price of an adult ticket $
Price of a child's ticket $
Answer:
adult $13 student $15
Step-by-step explanation:
A=adult S = student
9A + 4S = 177
1A + 4S = 73
Multiply the second by (-1)
9A +4S = 177
-1A -4S = -73
ADD BOTH (4S will be cancelled)
8A = 104
A = 13 ( Adult ticket = $13)
13 + 4S = 73
4S = 60
S = 15 ( student ticket $15)