The probability of drawing a red ball from both urns is found by multiplying the probability of drawing a red ball from Urn I by the probability of drawing a red ball from Urn II. After simplification, the probability is [tex]\(\frac{77}{180}\)[/tex], which corresponds to answer choice D.
To calculate the probability of drawing a red ball from each of two urns, we must first determine the probability of drawing a red ball from Urn I, and then multiply that by the probability of drawing a red ball from Urn II. In Urn I, there are 14 red balls and a total of 24 balls (10 green + 14 red). So, the probability of drawing a red ball from Urn I is [tex]\(\frac{14}{24}\)[/tex].
In Urn II, there are 11 red balls and a total of 15 balls (4 green + 11 red). Hence, the probability of drawing a red ball from Urn II is [tex]\(\frac{11}{15}\)[/tex].
The joint probability of two independent events is the product of their individual probabilities, so to find the probability of drawing a red ball from both urns (P(red and red)), we multiply the two probabilities:
[tex]\(P(red \,\text{from Urn I}) \times P(red \,\text{from Urn II}) = \frac{14}{24} * \frac{11}{15}\)[/tex].
To simplify the calculation:
Simplify [tex]\(\frac{14}{24}\) to \(\frac{7}{12}\)[/tex].Multiply [tex]\(\frac{7}{12}\) by \(\frac{11}{15}\)[/tex].[tex]\(\frac{7}{12} \times \frac{11}{15} = \frac{77}{180}\)[/tex].Therefore, the correct answer is D. 77/180.
1) 3х • 3х
Can someone help please I don’t get this shiii
If x = 2 and y=-3, then -xy^2 =
A) -36
B) 18
C) -12
D) - 18
Answer:
-18
Step-by-step explanation:
-xy^2 =
Let x=2 and y = -3
-(2) (-3)^2
-2 (9)
-18
If x = 2 and y=-3, then -xy² B) 18.
To solve the given mathematical problem, we will substitute the given values of x and y into the expression and calculate the result step by step.
Given:
x = 2
y = -3
We need to calculate the value of the expression:
[tex]-xy^2[/tex]
Substitute the given values into the expression:
[tex]-xy^2 = -(2)(-3)^2[/tex]
Now, calculate the square of y:
[tex](-3)^2 = 9[/tex]
Next, multiply the values together:
[tex]-xy^2 = -(2)(9)[/tex]
[tex]-xy^2 = -18[/tex]
Since there is a negative sign outside the parentheses, the result will be the negative of the product inside:
[tex]-xy^2 = 18[/tex]
Therefore, the final answer is 18.
a(b)^x-c =d solve for x
Answer:
( ln((d + c) / a) ) / ( ln(b) )
Step-by-step explanation:
ab^x = d + c
b^x = (d + c) / a
ln(b^x) = ln((d + c) / a)
xln(b) = ln((d + c) / a)
x = ( ln((d + c) / a) ) / ( ln(b) )
Alex and hope were trying to solve -6x > 24. Whose inequality shows the solution? Show your work.
(Alex's inequality is x > -4)
(Hope's inequality is x < -4)
Answer:
x>-4
Step-by-step explanation:
divide both sides by -6 without changing the sign
What is the volume of the prism?
ft3
1
12 ft
6 ft
8 ft
V=lwh
V=8×12×6=576 ft³
Answer: V=576 ft³
The volume of the prism is calculated by multiplying the length, width, and height, resulting in 576 cubic feet.
To calculate the volume of the prism, we have to use the formula for the volume of a rectangular prism, which is length times width times height. Given the dimensions of the prism as 12 feet in length, 6 feet in width, and 8 feet in height, the volume is calculated as follows:
Multiply the length by the width: 12 ft times 6 ft = 72 ft².Multiply the result by the height: 72 ft² times 8 ft = 576 ft³.Therefore, the volume of the prism is 576 cubic feet (ft³).
If (-3)^-5=x/1, what is the value of x?
Answer:
-1/243.
Step-by-step explanation:
(-3)^-5 = x/1
x = (-3)^-5
x = 1 / (-3)^5
x = 1 / -243
= -1/243.
whats,9 -3 x 9/4 + 257,
Answer:
[tex]9 - 3 * \frac{9}{4} +257\\[/tex] = [tex]\frac{1037}{4}[/tex]
Step-by-step explanation:
[tex]3*\frac{9}{4} =\frac{27}{4} \\\\=9-\frac{27}{4} +257[/tex]
Add the numbers: [tex]9+257=266[/tex]
[tex]=-\frac{27}{4} +266[/tex]
Convert element to fraction: [tex]266 = \frac{266*4}{4\\}[/tex]
[tex]=\frac{266 * 4}{4} -\frac{27}{4}[/tex]
Since the denominators are equal, combine the fractions: [tex]\frac{a}{c} \±\frac{b}{c} =\frac{a \± b}{c}[/tex]
[tex]=\frac{266*4-27}{4}[/tex]
[tex]266*4-27=1037\\\\=\frac{1037}{4}[/tex]
Hope I helped, if so may I get brainliest and a thanks?
Thank you, have a good day! =)
The expression 9 - 3 * 9 / 4 + 257 equals 259.25.
To solve the expression 9 - 3 * 9 / 4 + 257, we follow the order of operations (PEMDAS/BODMAS):
Calculate the multiplication and division from left to right: -3 * 9 / 4.
-3 * 9 = -27.
-27 / 4 = -6.75.
Now, the expression is:
9 - 6.75 + 257.
Perform the addition and subtraction from left to right:
9 - 6.75 = 2.25.
2.25 + 257 = 259.25.
Therefore, the value of 9 - 3 * 9 / 4 + 257 is 259.25.
of all the mutations, we can conclude that one mutation would MOST LIKELY contribute to a rapid rate of extinction. That is
A) blindness
B) paddle hands
C) no peripheral vision
D) fused hands, no range of motion
Answer:blindness I did it
Step-by-step explanation:
Blindness is likely the one mutation, that contributes to a rapid rate of extinction. Option A is correct.
Any change in a cell's DNA sequence. Mutations can be generated by errors during cell division or by exposure to DNA-damaging substances in the environment.
Here,
The most frequent kind, red-green color blindness, is caused by a genetic mutation on the X chromosome that is passed on to children. At fertilization, an egg has an X chromosome, and a sperm cell can have either an X or a Y chromosome.
Thus, Blindness is likely the one mutation, that contributes to a rapid rate of extinction. Option A is correct.
Learn more about mutation here:
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find the perimeter of a right triangle whose hypotenuse is 2 and whose area is 1.
Answer:
can i get the pic of it?
Step-by-step explanation:
.........
A newsstand spends $500 a month on rent and electricityand it spends $1.50 for each magazine that it sells. The newsstand charges $4.50 for each magazine. If nis the number of magazines, which equation represents the profit function of the newsstand?
Answer:
n(3.5)-500= p
Step-by-step explanation:
*The p represents the profit.
Answer: p = 3n -500
Step-by-step explanation:
AP3X
In the figure above, angles are as marked. The angle labeled with a measure of bº is an exterior angle. What is the measure of b?
Answer:
105
Step-by-step explanation:
First, solve for a
2a-15+2a+15+3a-5+a+5=360(Sum of interior angles of quadrilateral is 1360)
8a=360
a=360/8
a=45
Now,Look at the angles formed in straight line
b+2a-15=180(Sum of angles formed in a straight line is 180)
b+2×45=180+15
b=195-90
b=105
hi, please help.
what are some things you wonder about simple machines?? it doesn't have to be too complicated.
(plz i am suffering)
The function f(x) = −x2 + 60x − 116 models the monthly profit, in dollars, a shop makes for repairing windshields, where x is the number of windshields repaired. Determine the vertex, and explain what it means in the context of the problem. (30, 784); The vertex represents the maximum profit.
(30, 784); The vertex represents the minimum profit.
(2, 58); The vertex represents the maximum profit.
(2, 58); The vertex represents the minimum profit.
Answer:
Even tho the answer is not up there but its
(30, 784); The vertex represents the maximum profit.
Step-by-step explanation:
....
For the quadratic equation f(x) = -x^2 + 60x - 116, the vertex is (30, 784), and it is a maximum.
How to get the vertex?
For a general quadratic equation:
y = a*x^2 + b*x + c
The vertex is at the x-value:
h = -b/2a
To get the y-value, we evaluate the quadratic equation in h.
In our case, we have:
y = -x^2 + 60x - 116
Then:
h = -60/(2*-1) = 30
To get the y-value of the vertex, we evaluate in x = 30.
y = -(30)^2 + 60*30 - 116 = 784
And, as you can see, the leading coefficient of the quadratic equation is negative. This means that the arms open downwards, so the vertex is a maximum.
Then, concluding, the vertex is (30, 784), and it is a maximum.
If you want to learn more about quadratic equations, you can read:
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The two-way table shows the ages of the players on different soccer teams.
Answer:
C
Step-by-step explanation:
In the picture attached, the complete question is shown.
The probability that a randomly selected player on Team A is 8 years old is = 4/15
The probability that a randomly selected 8-year-old player is on Team C is = 8/21
The probability that a randomly selected player on Team C is 10 years old is = 5/16
The probability that a randomly selected 10-year-old player is on Team B is = 3/14
Mary estimated that it would take 3 hours to write a book report, but it actually took her 5 hours. What is the percent error for her estimate? (Hint: subtract and then divide by actual number)
Answer:
The percent error is 40%.
Step-by-step explanation:
5 (actual time) - 3 (estimated time) = 2
2 divided by 5 (actual time) = 0.4
0.4 x 100 = 40%
Write an equation in slope-intercept form that goes through the points (-3, -4) and (3,4).
Answer:
Y = 4/3x + 0
Step-by-step explanation:
(-3,-4) and (3,4) can be plugged in to rise over run.
y 4 -(-4) = 8
x 3 - (-3) = 6
8/6 = 4/3
Plug into slope intercept form
4 = 4/3(3) + b
4 = 12/3 +b
4 = 4 +b
Subtract from both sides
0 = b
Y = 4/3x + 0
The equation in slope intercept form that goes through the points (-3,-4) and (3,4) is [tex]y=\frac{8}{6}x[/tex]
What is Slope of the line?The slope of a line gives the measure of its steepness and direction.
What is the Slope intercept form?The equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.
Given,
Slope of the line passing through the points (-3,-4) and (3,4)
Slope of the line m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}=\frac{4+4}{3+3}=\frac{8}{6}[/tex]
Therefore slope of the line is [tex]\frac{8}{6}[/tex]
Find the y intercept using the slope and the point (-3,-4)
y=mx + b
-4 = [tex]\frac{8}{6}[/tex]×-3 + b
-4 =-4+b
b=-4+4 =0
Then,
The equation in slope intercept form is
y = mx + b
y = [tex]\frac{8}{6}[/tex]x + 0
[tex]y=\frac{8}{6}x[/tex]
Hence, the equation in slope intercept form that goes through the points (-3,-4) and (3,4) is [tex]y=\frac{8}{6}x[/tex]
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Solve the system y = 3x + 2 and 3y = 9x + 6 by using graph paper or graphing technology. What is the solution to the system? (2 points)
No Solutions
Infinite Solutions
(3.2)
(9,2)
Infinite Solutions . :)
Answer: Infinite Solutions
Step-by-step explanation:
y= 3x+2
3y=9x+6
Divide by 3 to get the y by itself
y=3x+2
------------------
y= 3x+2
y= 3x+2
Given the function g(x) = 2(5x + 5) - (3x + 2), determine the value of x for which g(x) = 43?
Vgjvhkhj
Answer:
x = 5
Step-by-step explanation:
g(x) = 2(5x + 5) - (3x + 2) = 43
2(5x + 5) - (3x + 2) = 43
10x + 10 - 3x -2 = 43
7x + 8 = 43
7x = 43 - 8
7x = 35
x = 35/7
x = 5
Help !
Will mark as brainliest
Answer:
[tex]3x^{2} y^{4} X 2x^{6} y =6x^{8} y^{5}[/tex]Hope this helps!
:)
Hurry! Someone please help me I only have 5 minutes to do this quiz I don’t need you to show all your work just the answer because I may run out of time while your showing your work please only answer if you know your answer is 100% correct thank you!
Answer:
(x+x)(x+x+x)
Step-by-step explanation:
Below is the graph of a trigonometric function. It has a maximum point at (-5pi/4,6.7) and an amplitude
of 4.1. What is the midline of the function? Y=____
We have been given that the maximum point at the graph of a trigonometric function is [tex](-\frac{5\pi}{4},6.7)[/tex] and amplitude of the function is 4.1. We are asked to find the mid-line of the given function.
We will use mid-line formula to solve our given problem.
[tex]\text{Mid-line value}=\text{Maximum value}-\text{Amplitude}[/tex]
Upon substituting our given values in above formula, we will get:
[tex]\text{Mid-line value}=6.7-4.1[/tex]
[tex]\text{Mid-line value}=2.6[/tex]
Therefore, the mid-line of the given function would be [tex]y=2.6[/tex].
Create a graph of the polynomial function g(x) = x3 + 2x2 − 9x − 18.
The graph is shown below
find the measurement of this angle :)
Answer:
56
Step-by-step explanation:
By adding the other two angles you can calculate the missing angles. And since they are the same angles they are the same measure. Add the two angles provided and then subtract that from 180 and you get your answer.
:)
Answer:
∠1=56°
∠2=56°
∠3=74°
Step-by-step explanation:
Degrees in a triangle is 180°
180°-(66°+58°)=∠1
180°-124°=∠1
∠1=56°
∠1=∠2- Vertical angles
∠1=56°
∠1=∠2
∠2=56°
∠3=180°-(56°+50°)
∠3=180°-106°
∠3=74°
d) I the length of the cable from L to E is 80 feet, E to the ground is 35 feet, and F to the ground is 40
feet, what is the length of the cable from Jto F?
The length of the cable from J to F is calculated by adding the length of the cable from L to E to the length from E to F which is difference in distance to the ground from E and F. The total length of the cable from J to F is 85 feet.
Explanation:
In this problem, we need to determine the length of the cable from J to F. To solve this, we will be using the principles of geometry. The cable from L to E to F forms a triangle. We know that the distance from L to E is 80 feet and that from E to F can be determined by subtraction, given that the distance from E to the ground is 35 feet and from F to the ground is 40 feet. From this information, we can get that the length from E to F is 5 feet. The total length from L to F (through E) is 80 feet + 5 feet, which equals 85 feet. Therefore, the length of the cable from J to F is 85 feet.
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A random survey of 500 people in North Carolina showed that 80 had taken a trip to the Great Smokey Mountains National Park within a year or less. In a random survey of 200 North Carolinians, how many could be predicted to have taken a trip to the Great Smokey Mountains within a year or less?
a. 16
b. 32
c. 48
d. 80
(with explanation)
Answer:
B
Step-by-step explanation:
500 divided by 200 = 2.5
80 divided by 2.5 = 32
A flower bed in the shape of a rectangular prism is 10 feet long, 1 foot wide, and 0.5 foot deep.
Which measurement BEST represents the volume in the flower bed?
Answer:
it is 5 feet squared
Step-by-step explanation:
multiply them all
Answer:
5 cubic feet
Step-by-step explanation:
What is the volume of a cone with a radius of 4 centimeters and a height of 10 centimeters? Cone V = 1 3 Bh 1. Rewrite the formula for the base area: V = 1 3 πr2h 2. Substitute the values into the formula: V = 1 3 π(42)(10) 3. Evaluate the power: V = 1 3 π(16)(10) 4. Simplify to find the volume of the cone to be Pi centimeters cubed.
Answer: its 160/3
Step-by-step explanation:
Answer:
160/3
Step-by-step explanation:
the probability of landing on yellow when spinning a spinner is 1/8 choose the likelihood that best describe the probability of this event
A) unlikely
B) likely
C) certain
D) neither likely or unlikely
Answer:Unlikely
Step-by-step explanation:
Given
Probability of landing is [tex]\frac{1}{8}=0.125[/tex]
i.e. [tex]12.5\%[/tex]
Thus Probability is less than [tex]50\% [/tex]
Therefore it cannot be likely because for that Probability must be greater than [tex]50\%[/tex]
Therefore the following event is Unlikely because it is greater than 0.
Answer:
The answer is A my children
Step-by-step explanation:
You have been asked to make lemonade for this year’s Back to School Night. In order to make the lemonade taste irresistible, you will make 10- cup batches that consist of 50% water, 25% lemonade mix, 10% lemonade juice, and 15% sugar. You are supplied with 44 cups of mix, 80 cups of water, 36 cups of lemon juice, and 40 cups of sugar. Discover the maximum number of batches you can make with the given ingredients. Remember that each batch makes 10 cups.
Answer:
16 batches of lemonade
Step-by-step explanation:
each batch requires (10 cups of lemonade):
5 cups of water2.5 cups of lemonade mix1 cup of lemon juice1.5 cups of sugaryou are given:
80 cups of water ⇒ makes up to 16 batches44 cups of lemonade mix ⇒ makes up to 17.6 batches 36 cup of lemon juice ⇒ makes up to 36 batches40 cups of sugar ⇒ makes up to 26.67 batchesthe ingredient that determines the total amount of batches we can make is water which is enough to produce only 16 batches.
you would use:
80 cups of water (no water left)40 cups of lemonade mix (4 cups left)16 cups of lemon juice (20 cups left)24 cups of sugar (16 cups left)A restaurant offers four sizes of pizza, two types of crust and eight toppings how many possible combinations of pizza with one topping are there
Answer:
64
Step-by-step explanation:
You know that:
there are four different sizes of pizza
two types of crust
and eight toppings
With a one-topping pizza, all you have to do is multiply 4 by 2 and then by 8
If it helps to branch it all out so you can visually see it, that would be a great idea
But in short, 4x2x8 is 64, so there are 64 combinations
:)
Final answer:
The number of possible pizza combinations with one topping is 64, calculated by multiplying the number of sizes, crust types, and toppings available, which are 4, 2, and 8 respectively.
Explanation:
To determine the number of possible combinations for a pizza with one topping, we apply the Fundamental Principles of Counting and use the Multiplication Principle.
Since there are four sizes of pizza, two types of crust, and eight toppings, we multiply these numbers together.
The calculation would be as follows:
Number of sizes = 4Number of crust types = 2Number of possible single toppings = 8Therefore, the number of possible pizza combinations with one topping is:
4 (sizes) x 2 (crust types) x 8 (toppings) = 64 combinations.