Answer: A) 2/11
Step-by-step explanation:
P(green) = 5 green marbles out of 11 total marbles = [tex]\dfrac{5}{11}[/tex]
P(black) = 4 black marbles out of 10 remaining marbles = [tex]\dfrac{4}{10}[/tex]
P(green) and P(black) - "and" means to multiply them
[tex]\dfrac{5}{11}\times \dfrac{4}{10}=\dfrac{20}{110}\quad = \large\boxed{\dfrac{2}{11}}\quad when\ simplified[/tex]
The probability of selecting a green marble for the first trial and black marble for the second trial is 2/11. Hence, option A is the right choice.
What is the probability of an event?The probability of any event A is the chance of the occurrence of that event.
It is determined as the ratio of the number of favorable outcomes to event A (n), to the total number of possible outcomes (S).
Hence, the formula for the probability of event A is given as:
P(A) = n/S.
How to solve the question?In the question, we are informed that a student selects a marble from a bag, keeps it, and selects another. The bag contains 5 green marbles, 4 black marbles, and 2 blue marbles.
We are asked to find the probability of selecting a green marble for the first trial and black marble for the second trial.
Let the event of selecting a green marble on the first trial be A.
The number of outcomes favorable to the event A (n) = 5 {the number of green marbles}.
The total number of outcomes (S) = 11 {The total number of marbles in the bag}.
Therefore, the probability of event A is,
P(A) = n/S = 5/11.
Let the event of selecting a black marble on the second trial be B.
The number of outcomes favorable to the event B (n) = 4 {the number of black marbles}.
The total number of outcomes (S) = 10 {The total number of marbles in the bag. It is one less as one marble has been taken out}.
Therefore, the probability of event B is,
P(B) = n/S = 4/10.
Now, the probability of selecting a green marble for the first trial and black marble for the second trial is the product of P(A) and P(B).
Therefore, the probability = P(A) * P(B) = 5/11 * 4/10 = 2/11.
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What is the measure of angle B in degrees? A triangle has angles A, C, 51 degrees. Angle A has exterior angle B and angle C has an exterior angle with measure of 112 degrees. °
Step-by-step explanation:
The angle adjacent to 112° will form a straight angle along with 112° adding to 180°. That makes C: 68°
a+c+51 = 180
a+68°+51° = 180°
a+119° = 180°
a = 180° - 119°
a = 61°
a+b = 180°
61+b = 180
b = 180-61
b = 119°
The measure of angle B is 119 degrees.
What is Exterior angle?Exterior angle is an measure of rotation between one extended side(we extend it virtually) of the polygon with its adjacent side which is not extended.
All the exterior angles are of same measure, and therefore, their measure is (360/n)°.
The angle adjacent to 112° will form a straight angle along with 112° adding to 180° which makes angle C: 68°
Then;
a+c+51 = 180
a+68°+51° = 180°
a+119° = 180°
a = 180° - 119°
a = 61°
Now,
a+b = 180°
61+b = 180
b = 180-61
b = 119°
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You are selling decorative eggs for your club.
Medium Eggs sold for $3 each. Large Eggs sold for
$6 each. A total of 190 Eggs were sold, and sales
totaled $870. How many Large Eggs did you sell?
What’s the evaluation to 5x(2) + x for x =3
Answer:
48
Step-by-step explanation:
5 x^2 +x
Let x = 3
5 * 3^2 +3
Exponents first
5 * 9+3
Multiply next
45+3
48
Answer:
33
Step-by-step explanation:
If x=3, we have to plug it into 5x(2)+x.
1: Plug it into the equation
(5(3))(2)+3
2: Mutiply it all out
15(2)+3
30+3
33
Hope this helped! :)
What is the probability that two randomly chosen players completed the walk in 2.9 hours or more? Show your work.
Answer:
8.08%
Step-by-step explanation:
Suppose several high schools in a city are sponsoring a walk-athon to raise money for a local charity. A certain route is mapped out through the city and each participant finds sponsors to donate money for the walk. If a participant completes the walk under a certain time, extra money will be donated. You are responsible for recording the finishing times for each of the participants. After collecting all of the data, you determine that the finishing times are normally distributed with a mean of 2.6 hours and a standard deviation of 0.3 hour.
Answer:
Given that:
Mean (μ) = 2.6 hours and standard deviation (σ) = 0.3 hour, n = 2
The z score is used in statistics to determine the amount of standard deviation by which the raw score is above or below the mean. It is given by the equation:
[tex]z=\frac{x-\mu}{\sigma}[/tex], where x is the raw score.
If the sample size (n) is taken then the z score is given by:
[tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
Therefore for this problem the z score is:
[tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }=\frac{2.9-2.6}{\frac{0.3}{\sqrt{2} } }=1.41[/tex]
From the normal distribution table, probability that two randomly chosen players completed the walk in 2.9 hours or more = P(x > 2.9) = P(z > 1.41) = 1 - P(z < 1.41) = 1 - 0.9192 = 0.0808 = 8.08%
Find the enthalpy change per mole of sodium when sodium reacts with water 8 grams of sodium reacts with 227 cm of water, producing a temperature change from 298
Kto 308.4 K The specific heat capacity of water is 4.18 J/K 9.
Answer:
The enthalpy change per mole of sodium when sodium reacts with water is 28.36 kJ
Step-by-step explanation:
The given parameters are;
Mass of sodium = 8 grams = 0.008 kg
Volume of water = 227 cm³ = 0.000227 m³
Initial water temperature, T₁ = 298 K
Final water temperature, T₂ = 308.4 K
Specific heat capacity of water = 4.18 J/(K·g)
Density of water = 1000 kg/m³
Mass of water = 1000×0.000227 = 0.227 kg = 227 g
Heat change, ΔH = m×c×ΔT = m×c×(T₂ - T₁)
ΔH = 227*4.18*(308.4 - 298) = 9868.144 J = 9.868 kJ
Molar mass of sodium = 22.989769 g/mol
Therefore, 8 grams contains;
8/22.989769 = 0.348 moles of Na
Which gives the enthalpy change per 0.348 moles of Na when sodium reacts with water = 9.868 kJ
Therefore, when one mole of Na reacts with water we have;
The enthalpy change per 0.348/0.348 = 1 mole of Na when sodium reacts with water = 9.868 kJ/0.348 = 28,358.3 J = 28.36 kJ.
(-2a-4b-6c) - (-a - 2b +3c)
━━━━━━━☆☆━━━━━━━
▹ Answer
-a - 2b - 9c
▹ Step-by-Step Explanation
(-2a - 4b - 6c) - (-a - 2b + 3c)
Remove parentheses
-2a - 4b - 6c - (-a - 2b + 3c)
Collect like terms
-a - 4b - 6c + 2b - 3c
Final Answer
-a - 2b - 9c
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer: -a - 2b -9c
Step-by-step explanation:
-2a - (-a) = -a
-4b - (-2b) = -2b
-6c - (3c) = -9c
-a - 2b - 9c
Which of the following is the complete factorization of the polynomial below
x3 + x2 - 17x+15
Answer:
[tex]\boxed{\sf \ \ \ (x-1)(x-3)(x+5) \ \ \ }[/tex]
Step-by-step explanation:
Hello,
1 is a trivial zero so we can write
[tex]x^3+x^2-17x+15=(x-1)(x^2+2x-15) = (x-1)(x^2+5x-3x-15)\\==(x-1)(x(x+5)-3(x+5))=(x-1)(x-3)(x+5)[/tex]
hope this helps
Please help me with this question
Answer:
∠BFA = 75º
Step-by-step explanation:
First, let's add the three angle degrees provided.
[tex]30+45+60 = 135[/tex]
Then, we subtract 135 from 360º, which is all the angles added together.
360º - 135º = 225
Since ∠BFC is 2xº, then we have to divide 225 by 3.
[tex]\frac{225}{3} = 75[/tex]
∠BFC is twice the amount of x, so ∠BFC is 75 * 2 = 150º
xº is 75º
To check our answer, we can add all these angles and if they add up to 360º, we are correct.
30 + 45 + 60 + 75 + 150 = 360º :)
Write the following Arithmetic sequence using an Explicit Formula: a1 = 8, an = an-1 -2
Answer:
an = 8 - 2*(n - 1)
Step-by-step explanation:
a1 ; .... ; an-1 ; an
r = an - an-1
r = (an-1 - 2) - an-1
r = an-1 - 2 - an-1
r = -2
So:
an = a1 + r*(n - 1)
an = 8 + (-2)*(n - 1)
an = 8 - 2*(n - 1)
The nth term of the arithmetic sequence using the explicit formula will be [tex]a_{n}[/tex] = 8 - 2(n - 1) thus option (A) is correct.
What is Arithmetic progression?The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).
The arithmetic progression has wider use in mathematics for example sum of natural numbers.
As per the given,
First term a₁ = 8
[tex]a_{n} =a_{n-1}-2[/tex]
The common difference between the AP will is,
d = [tex]a_{n} -a_{n-1}[/tex]
d = -2
The nth term of an AP is given as a + (n - 1)d
Thus,
[tex]a_{n}[/tex] = 8 + (n - 1)(-2)
[tex]a_{n}[/tex] = 8 - 2(n - 1)
Hence "The nth term of the arithmetic sequence using the explicit formula will be [tex]a_{n}[/tex] = 8 - 2(n - 1)".
For more about Arithmetic progression
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Subtract simplify your answer completely
Answer:
Answer is A
Step-by-step explanation:
Answer:
[tex] \frac{3x + 13}{ {x}^{2} + 4x + 5} [/tex]Option A is the correct option
solution,
[tex] \frac{8x + 7}{ {x}^{2} + 4x + 5 } - \frac{5x - 6}{ {x}^{2} + 4x + 5} \\ = \frac{8x + 7 - (5x - 6)}{ {x}^{2} + 4x + 5} \\ = \frac{8x+ 7 - 5x + 6}{ {x}^{2} + 4x + 5 } \\ = \frac{8x - 5x + 7 + 6}{ {x}^{2} + 4x + 5 } \\ = \frac{3x + 13}{ {x}^{2} + 4x + 5 } [/tex]
Hope this helps...
Good luck on your assignment...
TIME PEMARENG
59:20
The table represents an exponential function
What is the multiplicative rate of change of the function?
х
1
O 02
0.25
2
3
4
y
0.25
0.125
0.0625
0.03125
O 0.5
O 0.75
Answer:
Every time x increases by 1, y is multiplied by 0.5. That is the multiplicative rate of change.
Step-by-step explanation:
Well, I am not sure whether this is your question, but I kind of arranged the values into a more clear table.
x 1 2 3 4
y 0.25 0.125 0.0625 0.03125
To find the rate of change, you want to find what can be multiplied by the y-value to get another y-value as the x-value increases.
For example, you can see that when x is 1, y is 0.25. When x increases by 1, y is 0.125.
0.125 / 0.25 = 0.5. That means that when x increases by 1, y is multiplied by 0.5. You can check this by multiplying the rest of the values and seeing whether they match.
0.125 * 0.5 = 0.0625
0.0625 * 0.5 = 0.03125
Since the pattern continues, you can be sure that the multiplicative rate of change for y is 0.5.
The multiplicative rate of change of the exponential function is 0.5
From the table, we have the following representations
x 1 2 3 4
y 0.25 0.125 0.0625 0.03125
Divide yn by yn-1, to calculate the multiplicative rate (r) of change of the function
So, we have:
[tex]r = \frac{y_n}{y_{n - 1}}[/tex]
Let n = 2.
So, we have:
[tex]r = \frac{y_2}{y_{2 - 1}}[/tex]
This gives
[tex]r = \frac{y_2}{y_1}[/tex]
Substitute values for y2 and y1
[tex]r = \frac{0.125}{0.25}[/tex]
Divide
[tex]r = 0.5[/tex]
Hence, the multiplicative rate of change of the function is 0.5
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what is 6-3 plus the square root of 4
Answer:
5
Step-by-step explanation:
6 - 3 = 3
√4 = 2
3 + 2 = 5
Answer:
5
Step-by-step explanation:
6-3 + sqrt(4)
PEMDAS says do the sqrt first
6-3 +2
Then add and subtract
3 +2
5
A right rectangular prism has length 9 cm, width 5 cm, and height 3 cm. If the length, width, and height are doubled, what happens to the surface area?
The surface area is multiplied by 8.
The surface area is multiplied by 4.
The surface area is multiplied by 6.
The surface area is doubled.
Answer:
B - The surface area is multiplied by 4.
Step-by-step explanation:
The first step is to figure out the original surface area of the shape using this formula;
A = 2(wl + hl + hw)
Which in this problem, means:
A = 2 (5 × 9) + 2 (3 × 9) + 2 (3 × 5) = 174.
Now, we must figure out the surface area once the measurements are doubled, using the same equation:
A = 2 (10 × 18) + 2 (6 × 18) + 2 (6 × 10) = 696.
If we then take a look back at the original surface area, we can already tell the answer is not D, as 696 is too high to be double 174, considering 150 × 2 is 300, and 24 × 2 is 28.
We can also eliminate option A, as it's clear multiplying 174 by 8 would take us into the thousands, since 8 × 100 is 800, and already over our target.
So we're left with two options - Multiplied by 4, or multiplied by 6.
If we know that multiplying 174 by 8 would take our answer into the thousands, it's also safe to assume multiplying by 6 would do the same, because 6 × 100 is 600, and multiplying 74 by 6 would take us way over target, too.
However, just to be on the safer side, we can divide 696 by 6;
696 ÷ 6 = 116.
Now we have eliminated answer C.
So the answer is B - The surface area is multiplied by 4.
(Confirmation -
696 ÷ 4 = 174
174 × 4 = 696)
Hope this helped!
3a+4=a+18 pls help!!!!!!!!!!!!1
Answer:
a=7
Step-by-step explanation:
3a+4=a+18
-1a -1a
2a+4=18
-4 -4
2a = 14
÷2 ÷2
a=7
Answer:
a = 7
Step-by-step explanation:
3a + 4 = a + 18
Add -a and -4 on both sides.
3a - a = 18 - 4
2a = 14
Divide 2 into both sides.
a = 14/2
a = 7
Work out the perimeter of a semi circle with radius 3cm give your answer in terms of pi
Answer:
6(π + 1) cm
Step-by-step explanation:
d = 2r
P(s.circle) = πd + d
= π·2·3cm + 2·3cm
= π·6cm + 6cm
= 6(π + 1) cm
i need number 7 pls help :))
Answer:
3 pizza
Step-by-step explanation:
four people eat 3/4 of pizza
4*3/4=12/4=3 pizzas
Jessica used Fraction 2 over 3 yards of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 3 over 4 yards of fabric, and why?
Answer:
yes
Step-by-step explanation:
1/3/4 - 2/3
= 5/12
because the answer is a positive number
Pls answer ASAP I need help
Answer:
g=1.5
Step-by-step explanation:
-0.4+0.9=0.5
0.5*3 1.5
What must be subtracted from 4x4 - 2x3 -6x2 + x - 5 so that the result is exactly divisible by 2x2 + 3x - 2 ?
−3x−6+(−1) plz Answer
Answer:
The answer to this problem is -3x - 7
Step-by-step explanation:
-3x - 6 + (-1)
Add -6 to -1.
-3x - 7
So, the final answer to this problem is -3x - 7.
In △ABC, AB=BC=29, and AC=42. What is the area of △ABC?
Answer:
420 unit^2.
Step-by-step explanation:
Use the formula area = √(s(s-a)(s-b)(s-c) where s = the semi-perimeter and ab and c are the 3 sides. (it is called Heron's Formula).
s = (29+29+42)/ 2
= 100/2
= 50.
Area = √50(50-29)(50-29(50-42)
= √176400
= 420.
The area of △ABC is 420 square units.
The formula for calculating Heron's formula is expressed as √(s(s-a)(s-b)(s-c)
where:
s = the semi-perimeter and abc are the 3 sides.Get the value of "s"
s = (29+29+42)/ 2
s = 100/2
s = 50.
Get the required area:
Area = √50(50-29)(50-29(50-42)
Area = √176400
Area = 420.
Hence the area of △ABC is 420 square units.
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A district manager has 8 different stores. He wants to reward some of his
employees by giving them a position as a manager in one of these stores. If he
has 5 qualified employees, how many ways can this be done?
Answer:
Please explain the question more.... but he can have 5 managers at 5 stores while he looks for other qualified individuals or manages the others himself.
Step-by-step explanation:
Mathematicians use "..." to mean that a pattern continues: it
means to fill in everything in-between.
Let A represent 1+3+5+ ... + 99, the sum of all the odd
numbers less than 100.
Let B represent 2+4+6... + 98, the sum of all the even
numbers less than 100.
Which is bigger, A or B, and by how much? Do this without adding
them up the long way. A full solution to this challenge problem
means that you must explain why your answer is correct - you
can't just give a number, you have to prove it!
Answer:
Step-by-step explanation:
We khow that A is the sum of all odd numbers that are less than 100
So A= 1+3+5+...+99
We can calculate this sum without adding all this numbers one by one
A = the number of terms *( first term + last one ) over 2
To get the number of terms we substract the first term from the last term then we add one
We khow that odd numbers are wiritten this way : 2*n +1 where n is an integer
So 99= 2*49+1
1= 2*0+1
So the number of terms is : 49-0+1 =50
So A= 50*(1+99)/2 = 2500
Foloowing the same method we get :
B= (49-1+1)*(2+98)/2= 2450
A>B
Draw the graph of y=4x. From the graph find the value y when x= -2
here is the answer hope this helps
What is the value of the expression All of 2.6 multiplied by 10 to the power 9 over all of 1.3 multiplied by 10 to the power 2? 1.3 × 107 2.0 × 107 1.3 × 1011 2.0 × 1011
Answer: The answer is A:
[tex]1.3[/tex] × [tex]10^{7}[/tex]Step-by-step explanation:
2.6 multiplied by 10 to the power 9 over all of 1.3 multiplied by 10 to the power 2 looks like this-
[tex]2.6[/tex] × [tex]10^{9}[/tex] / [tex]1.3[/tex] × [tex]10^{2}[/tex] or [tex]2.6[/tex] × [tex]10^{9}[/tex] ÷ [tex]1.3[/tex] × [tex]10^{2}[/tex]
Basically a fraction means dividing.
Formula example picture:
According to the Quotient Rule, you have to divide two exponents with the same base, and keep the base and subtract the powers.
Back to the Explanation:
Since you have to divide or subtract with the same base,
[tex]10^{9} - 10^{2}[/tex] remember only subtract the exponents with the quotient rule, and subtract in the same order.
so [tex]10^{9} -10^{2} = 10^{7}[/tex]
now lets move on to 2.6 and 1.6, like the exponents we subtract 2.6 and 1.6.
[tex]2.6 -1.3=1.3[/tex]
so the final answer would be [tex]1.3[/tex] × [tex]10^{7}[/tex]
Hope you understood! Drink some water and take a break, don't stress! You got this! :)
An arithmetic sequence has this recursive formula: What is the explicit formula for this sequence? A. an=-6+(n-2)8 B. an=8+(n-6)(-1) C. an=8+(n-1)(-6) D. an=8+(n-1)6
Answer:
an = 8 + (n-1) *(-6)
Step-by-step explanation:
The explicit formula is
an = a1+ d (n-1) where a1 is the initial value and d is the common difference
The initial value is 8 so a1 = 8
The common difference is what we are adding or subtracting each time
We are subtracting 6 each time as we see from the recursive forumla
so d = -6
an = 8 -6(n-1)
or
an = 8 + (n-1) *(-6)
Answer:
C
Step-by-step explanation:
[tex]a_{n}-a_{n-1}=-6\\d=-6\\a_{n}=a_{1}+(n-1)d\\a_{n}=8+(n-1)(-6)[/tex]
Amy works for 36 hours per week for 10 weeks during the summer, making $\$3000$. If she works for 30 weeks during the school year at the same rate of pay and needs to make another $\$3000$, how many hours per week must she work?
Answer:
12 hours
Step-by-step explanation:
$3000 / 36hours / 10weeks = $8.33333333333
$3000 / 30weeks / $8.33333333333 = 12hours
Answer:
12
Step-by-step explanation:
Since she only needs to make the same amount of money, if she works for 3 times as many weeks, she can work 3 times fewer hours per week, meaning she can work 1/6x36= 12 hours per week
Mr. Brown is creating examples of systems of equations. He completes the steps to find the solution of the equation below.
5x+2y=8
-4(1.25x+0.5y=2)/5x+2=8
-5x-2y=-8/0=0
Based on this work, what is the solution to the system?
(-4, -4)
(0, 0)
no solution
infinitely many solutions
Answer:
Option D.
Step-by-step explanation:
The given system of equations is
[tex]5x+2y=8[/tex] ...(1)
[tex]-4(1.25x+0.5y=2)[/tex] ...(2)
On simplifying the second equation, we get
[tex]-5x-2y=-8[/tex]
On dividing by -1, we get
[tex]5x+2y=8[/tex] ...(3)
It is clear that equation (1) and (3) are same equations. It means equation (1) and (2) represent the equivalent equation.
So, the given system of equations has infinitely many solutions.
Therefore, the correct option is D.
Answer:
infinitely many solutions
Step-by-step explanation:
Because if it is at zero zero the equations represent the same line on a graph.
It can't be A because -4 -4 is a point on a graph would intersect there and that means -4-4 is answer to the equation
It cant be B for the same reason as A
It cant be no solution because then the graph lines would be parellel
Finnaly i took the test on edge2020 and got a 100
Hope this helps yall pls hit that THANKS button below have a great day
This is the question that is after it and it goes along with the question above so I thought why not kill two birds with one stone
The system of equations shown is solved using the linear combination method
StartLayout 1st row 1st column 6 x minus 5 y = negative 8 right-arrow 2nd column 6 x minus 5 y = negative 8 right-arrow 6x minus 5 y = negative 8 2nd row 1st column negative 24 x + 20 y = 32 right-arrow one-fourth (negative 24 x + 20 y = 32) right-arrow negative 6 x + 5 y = 8 with Bar Underscript 3rd row 3rd column 0 = 0 EndLayout
What does 0 = 0 mean regarding the solution to the system?
There are no solutions to the system because the equations represent parallel lines.
There are no solutions to the system because the equations represent the same line.
There are infinitely many solutions to the system because the equations represent parallel lines.
There are infinitely many solutions to the system because the equations represent the same line.
The correct answer is C also because of my first answer and response to the other question
Can someone please help me graph these 4?
Answer:
These are ordered 1, 2, 3, 4
A bakery mixes cookie dough in large batches. For chocolate chip cookies, 10 cups of sugar and 20 cups of flour are needed
Answer:
around 30
Step-by-step explanation: dont quote me though