You have a box with 6 blue marbles, 7 red marbles, and 2 yellow marbles. You are going to pull out one
marble, record its color, put it back in the box and draw another marble. What is the probability of
pulling out a yellow marble followed by a blue marble?
Answer:
12/225 or 4/75.
Step-by-step explanation:
I hope this helps!
Answer as a fraction = 4/75
Answer in decimal form = 0.05333 (approximate)
Answer in percent form = 5.333% (approximate)
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Work Shown:
A = event of pulling a yellow marble on the first selection
P(A) = 2/15 since there are 2 yellow out of 6+7+2=15 total.
B = event of pulling a blue marble on the second selection
P(B) = 6/15 = 2/5
Note how the 15 does not drop to 14 since we put the first marble back. Therefore events A and B are independent
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P(A and B) = probability of getting yellow, then blue
P(A and B) = P(A)*P(B)
P(A and B) = (2/15)*(2/5)
P(A and B) = (2*2)/(15*5)
P(A and B) = 4/75
P(A and B) = 0.05333 approximately
P(A and B) = 5.333% approximately
the compound interest of a sum of money for 1 year and 2 years are rs 450 and rs 945 respectively. find the rate of interest compounded yearly and he sum.
Answer:
The answer is below
Step-by-step explanation:
The compound interest is given by the formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
Where A is the final amount, p is the principal (initial amount), r is the rate, t is the number of period and n is the number of times it was compounded per period.
Given that:
The interest is compounded yearly, i.e n = 1, for 1 year, t = 1, the compound interest is Rs 450 i.e A = 450. Therefore:
[tex]450=P(1+\frac{r}{1} )^{1*1}=P(1+r)\\450=P(1+r).\ .\ .\ (1)[/tex]
For 2 year, t = 2, the compound interest is Rs 945 i.e A = 945. Therefore:
[tex]945=P(1+\frac{r}{1} )^{1*2}=P(1+r)^2\\945=P(1+r)^2.\ .\ .\ (2)[/tex]
Dividing equation 2 by equation 1 gives:
2.1 = 1 + r
r = 2.1 - 1 = 1.1
r = 1.1
Put r = 1.1 in 450 = P(1 + r)
450 = P(1 + 1.1)
450 = 1.11P
P = 405.4
Therefore the rate is 1.1 = 110% and P = Rs 405.4
Julie has 12 gummy worms on her plate. She also has some gummy worms in a bag. All together, she has 36 gummy worms. The letter g stands for the number of gummy worms in the bag. Which equation can you use to find g?
Answer:
12 + g = 36
Step-by-step explanation:
If you work out the Two-Step Equation, you will get the amount for g.
Twice a number subtracted from four times that same number added to fifteen
Which best describes how to determine the decimal number that is modeled? 7 of 100 parts have been shaded, and 7 hundredths is written as 0.07 7 of 10 parts have been shaded, and 7 tenths is written as 0.7 7 of 100 parts have been shaded, and 7 hundredths is written as 0.7 7 of 10 parts have been shaded, and 7 tenths is written as 0.07
Answer:
7 of 100 parts have been shaded, and 7 hundredths is written as 0.07
Step-by-step explanation:
Note that we have a grid of 100 squares and 7 of those squares are shaded. We can represent the shaded portion by saying 7/100 which is equivalent to .07.
With this information, we can say 7 out of 100 is shaded and is representative of 7 hundredths.
Note that each digit after the decimal is a multiple of (1/10). We can express this as (1/10)^n where n is the digit place after the decimal.
In this case, we have 7, two digits after the decimal so it will be equivalent to 7 * (1/10)^2 = 7 * (1/100) = 7/100.
Cheers.
Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. She wrote an equation to find the number of bottles she needs to sell to earn $100. 1.25x + 1.49 = 100 What error did Barbara make in writing the equation? Barbara’s equation did not consider the number of bottles of water. Barbara’s equation did not consider the number of bottles of iced tea. Barbara’s equation did not use the correct price for the bottles of iced tea. Barbara's equation did not use the correct total for sales.
Answer:
B
Step-by-step explanation:
Just took the quiz!
The solution is : B = Barbara’s equation did not consider the number of bottles of iced tea.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
here, we have,
given that,
Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle.
Let the water bottles she needs to sell be = x
Let the iced tea she needs to sell be = y
As she wants $100, she has to sell the following numbers of drinks.
1.25x + 1.49y = 100
But, Barbara wrote an equation
1.25x + 1.49 = 100
She did not put a variable with 1.49, that will depict the number of iced teas she needs to sell.
Hence, option B is correct.
To learn more on equation click:
brainly.com/question/24169758
#SPJ7
Use the flowchart to determine whether the opposites of the numbers
in questions 1 through 4 are positive or negative. Then give the
opposite of each number.
1. -2.7
2. 2/7
3. 3 1/8
4. – 0.9
Hi pls help if you’re good at trigonometry, tysm
Answer:
1) a = 65
2) b = 61
3) c = 55
Step-by-step explanation:
1)
a + 115 = 180
a = 65
2)
b + 119 = 180
a = 61
3)
c + 75 + 50 = 180
c = 55
Sales Rise from 2000 per week to 2500 per week, calculate the percentage change..
Answer:
[tex]\huge\boxed{25\%}[/tex]
Step-by-step explanation:
Previous Price = 2000
Current = 2500
Increase:
=> 2500 - 2000
=> 500
%age change:
=> [tex]\frac{500}{2000} * 100 \%[/tex]
=> ( 5 * 5 ) %
=> 25%
Answer:
Percentage change = 25%Step-by-step explanation:
To find the percentage change we use the formula
[tex]Percentage \: \: change \: \: = \frac{change}{original \: \: quantity} \times 100[/tex]To find the change subtract the lesser one from the larger one
Original price = 2000
Final price = 2500
Change = 2500 - 2000 = 500
So the percentage change is
[tex] \frac{500}{2000} \times 100[/tex][tex] = \frac{1}{4} \times 100[/tex]We have the final answer
Percentage change = 25%Hope this helps you
What equation represents a population of 300 animals at the crease and an annual rate of 23%
Which function is a quadratic function? A. c(x) = 6x + 3x3 B. d(x) = x – 8x4 C. p(x) = –5x – x2 D. k(x) = 2x2 + 9x4
This is the same as p(x) = -x^2-5x
The degree is the largest exponent to determine what kind of polynomial we're dealing with.
For choice C, the degree is 2, so we have a quadratic here.
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Extra info:
Choice A is cubic because the largest exponent is 3 (degree = 3)Choice B is a quartic of degree 4Choice D is the same story as choice Bwhat would the vairable be in this equation 1÷k=2
Answer:
yes
Step-by-step explanation:
A yacht sailed from wharf A in a south-east direction for 10km and north-east for 24km. Find how far the yacht is from wharf A.
(A)26km
(B)21km
(C) 45km
(D) 40km
Answer:
D
Step-by-step explanation:
The answer is 40km.
24 plus 10 equals to 34 and a few extra km would lead to 40km
from the numbers below
4. Which correlation coefficient is stronger 0.52 or -0.52?
Answer:
They are both the same because the coefficient of -0.52 is negative and 0.52 is a positive which makes 0.52 a stronger coefficient.
If the hypotenuse of a right angled triangle is 37cm long and a side is 35cm. Find the length of the third side. 9cm
10cm
11cm
12cm
Answer:
From the pythagorean theorem:
AB²+BC²=AC²
x+35²=37²
x+1225=1369
x=1369-1225
x²=144 cm
x=radical 144=12
Answer:
[tex]\huge\boxed{b = 12 cm}[/tex]
Step-by-step explanation:
Using Pythagorean Theorem:
[tex]c^2 = a^2 + b^2[/tex]
Where c is hypotenuse(37 cm), and one of the side is 35 cm.
=> [tex]37^2 = 35^2 + b^2[/tex]
=> [tex]b^2 = 37^2-35^2\\[/tex]
=> [tex]b^2 = 1369 - 1225\\[/tex]
=> [tex]b^2 = 144[/tex]
Taking sqrt on both sides
=> b = 12 cm
what is the coefficient of x in 4x/5 a)1/5 b.5 c.4/5 d.4 e.-0.8
Answer:
C
[tex] \frac{4}{5} [/tex]
Co efficient means the number or value beside preventing the variable from standing alone
Answer:
c. 4/5
Step-by-step explanation:
4x/5 is the same as 4/5 * x
y=-5x 2 + 15x - 10 fffffft
Answer:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): ( 2,0 ), ( 1,0 ) (2,0), (1,0)
y-intercept(s): ( 0, − 10 )
If a 2.2-kg ball is thrown with a velocity of 10m/s what is its KE
Answer:
110 joulesStep-by-step explanation:
[tex]Mass = 2.2kg\\Velocity = 10m/s \\K.E = \frac{1}{2} mv^2\\K.E = \frac{1}{2} \times 2.2 \times 10^2\\K.E = \frac{1}{2} \times 220\\K.E = \frac{220}{2} \\K.E = 110 joules[/tex]
Answer:
The answer is 110 JoulesStep-by-step explanation:
Kinetic energy ( KE) of an object is given by
[tex]KE = \frac{1}{2} m {v}^{2} [/tex]
where
m is the mass
v is the velocity
From the question
m = 2.2 kg
v = 10 m/s
Substitute these values into the above formula
That's
[tex]KE = \frac{1}{2} \times 2.2 \times {10}^{2} [/tex]
[tex]KE = 1.1 \times 10[/tex]
We have the final answer as
Kinetic energy = 110 JoulesHope this helps you
*ANSWER PLEASE, DIFFICULT QUESTION* A toy rocket is a composite of a cylindrical body with a cone for a nose. Find the volume of the rocket if the radius of the base is 1.25 inches, the height of the tip is 3 inches, and the height of the entire rocket is 15 inches. a.) 63.8 in3 b.) 56.3 in3 c.) 176.6 in3 d.) 58.9 in3
Answer:
a) 63.8 in³
Step-by-step explanation:
so the cylinder is 12 inches high
πr²h = π(1.25)²(12) = 58.90 in³
cone is 3 inches high
1/3πr²h = = 1/3π(1.25)²(3) = 4.91 in³
58.90 + 4.91 = 63.81 in³
Answer:
63.8 in
Step-by-step explanation:
the formula of te volume of the cone is : πr²h/3
the height of te cone is the height of the tip
V=π(1.25)² * 3/3
V1=4.91( rounded to the nearest hundredth)
volume of the cylinder =πr²h ( the height of cylinder=25-3=23)
V2=π(1.25)²*12
V2=58.90
V1+V2=4.91 +58.90=63.81 ≅63.8
(9.9 x 10^2)/(1.5 x 10^-14) =
Does anyone know how to solve this?
Answer:
6.6 × 10^16
Step-by-step explanation:
Omar uses the factor theorem to determine whether x−3 is a factor of 4x4−12x2−18x−162. How does he proceed to the correct answer? A-Omar evaluates 4x4−12x2−18x−162 when x = 3. He determines that the value of the expression is 108 and concludes that x−3 is a factor. B-Omar evaluates 4x4−12x2−18x−162 when x=−3. He determines that the value of the expression is 108 and concludes that x−3 is not a factor. C-Omar evaluates 4x4−12x2−18x−162 when x = 3. He determines that the value of the expression is 0 and concludes that x−3 is a factor. D-Omar evaluates 4x4−12x2−18x−162 when x=−3. He determines that the value of the expression is 0 and concludes that x−3 is a factor.
Answer:
C- Omar evaluates 4x⁴−12x²−18x−162 when x = 3. He determines that the value of the expression is 0 and concludes that x−3 is a factor.
Step-by-step explanation:
Factor Theorem can be defined as a method or theorem that is used in mathematics to simplify polynomials. It is used to confirm if a particular root is the real root of the polynomial.
Factor Theorem states that:
a) If p(x) is a polynomial of degree of n is greater than 1 (n > 1) and a is any real number, then
b) x – a is a factor of p(x)
if p(a) = 0, x – a is a factor of p(x).
In the question above, we are told that:
Omar uses the factor theorem to determine whether x−3 is a factor of 4x⁴ −12x² − 18x − 162.
Using Factor Theorem,
b) x – a is a factor of p(x)
if p(a) = 0, x – a is a factor of p(x).
x - 3 = 0, x = 3
p(x) = 4x⁴ −12x² − 18x − 162 = 0
p(3) = 4(3)⁴ - 12(3)² - 18(3) - 162 = 0
p(3) = 4(81) - 12(9) - 18(3) - 162 = 0
p(3) = 324 - 108 - 54 - 162 = 0
p(3) = 324 - 324 = 0
p(3) = 0 = 0
Hence, since p(3) = 0, x - 3 is a factor of polynomial 4x⁴ −12x² − 18x − 162 .
Therefore,Option C- "Omar evaluates 4x⁴−12x²−18x−162 when x = 3. He determines that the value of the expression is 0 and concludes that x−3 is a factor. " is the correct answer.
Answer:
Answer is D on edge2020
Step-by-step explanation:
Omar should factor out a negative from one of the groups so the binomials will be the same.
which ones does not belong 1/2 5/3 2/10 2/5
Answer:
the one that doesn't belong is 5/3
find the area of a regular octagon with a perimeter of 80 ft and an apothem of 12.07 feet
Answer:
The area of a regular octagon with a perimeter of 80 ft and an apothem of 12.07 feet is 482.8 ft².
Step-by-step explanation:
An octagon is a polygon with eight sides. An octagon is regular (also called a regular octagon) is a polygon with all eight sides equal.
The apothem of a regular octagon is the shortest distance between the center and any of its sides, in other words, it is the distance that separates the center of the polygon from the central point of each side of the octagon.
The area is calculated using the following formula:
[tex]Area=\frac{n*L*Ap}{2}[/tex]
Where:
n is the number of sides. L is the length of one of the sides. Ap is the value of the apothem.Being n = 8 being an octagon and the perimeter P the sum of the sides of the octagon (P = 8 * L), the area of the regular octagon can be calculated by:
[tex]Area=\frac{P*Ap}{2}[/tex]
In this case:
P=80 ftAp=12.07 ftReplacing:
[tex]Area=\frac{80ft*12.07ft}{2}[/tex]
Solving:
Area=482.8 ft²
The area of a regular octagon with a perimeter of 80 ft and an apothem of 12.07 feet is 482.8 ft².
if x and y vary directly and x= 60 when y=5, what is the value of y when x=36?
Answer:
12
Step-by-step explanation:
A new Community sports complex is being built in Erie. The perimeter of the rectangular playing is 292 yards. The length of the field is 7 yards less than double the width. What are the dimensions of the playing field?
Answer:
length = 95 yardswidth = 51 yardsStep-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
Perimeter = 292 yards
The statement
The length of the field is 7 yards less than double the width is written as
l = 2w - 7
Substitute the expression into the above formula and solve for the width
292 = 2( 2w - 7) + 2w
292 = 4w - 14 + 2w
292 = 6w - 14
6w = 292 + 14
6w = 306
Divide both sides by 6
w = 51
Substitute this value into l = 2w - 7
That's
l = 2(51) - 7
l = 102 - 7
l = 95
Therefore we have
length = 95 yards
width = 51 yards
Hope this helps you
What is negative 1/2 divided by 4/5
Answer:
-0.625
Step-by-step explanation:
- 0.5 / .8 = -0.625
-0.625 x .8 = - 0.5
Answer:
- 5/8
Step-by-step explanation:
What is negative 1/2 divided by 4/5
-1/2 ÷ 4/5 =-1/2 × 5/4 =- 1×5/2×4 =-5/8plz help ASAP !! will mark u brainlist
Answer:
D. The 4th choice.
Step-by-step explanation:
We can see from the graph that the point (-2, -5) is excluded from the line since there is there an open circle.
The domain is all real numbers except -2.
The range is all real numbers except -5.
D. The 4th choice.
D. The 4th choice.
D. The 4th choice.
D. The 4th choice.
D. The 4th choice.
D. The 4th choice.
D. The 4th choice.
D. The 4th choice.
Find the value of c and a.
Answer:
c = 93.5° , a = 52°Step-by-step explanation:
x = 52°
b = ¹/₂(2x) = x = 52°
y = 180° - 90° - x
y = 90° - 52° = 38°
a = 180° - 90° - y = 90° - 38° = 52°
p = 83°
q = ¹/₂p = 41.5°
(180° - c) + b + q = 180°
180° - c + 52° + 41.5° = 180°
- c = - 93.5°
c = 93.5°
What is the value of x? 4/5 times 1/10 =3/10
Answer:
D) 1/2
Step-by-step explanation:
4/5x-1/10=3/10
4/5x=3/10+1/10
4/5x=4/10
4/5x=2/5
x=2/5÷4/5
x=2/5*5/4
x=10/20
x=1/2