a bag contains 6 white marbles and 4 black marbles. a marble is drawn without replacing the first one. what is the probability of drawing a white marble on the first draw, followed by a white marble on the second?
Answer:
30/90 or 1/3
Step-by-step explanation:
This is because we know that 6+4=10. So we know the odds of drawing a white marble first is 6/10. And if we draw one without replacing it. This makes the second time 5/9 for white and 4/9 for black. We can then multiply 6/10 by 5/9 and get 30/90 which is equal to 1/3.
Hope this helps!
Answer:
1/3
Step-by-step explanation:
P=6/10 ×5/9=30/90=1/3
Evaluate each expression if x= 10, y= -2, and z= -5
Answer:
There are no expressions provided in the question.
Find all points on the x-axis that are 14 units from the point (4, -7).
(Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)
Answer:
The points are: (16.12,0),(-8.12,0).
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]\bigtriangleup = b^{2} - 4ac[/tex]
Distance between two points:
Suppose we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Find all points on the x-axis that are 14 units from the point (4, -7).
Being on the x-axis mean that they have y-coordinate equal to 0, so the point is (x,0).
The distance is 14. So
[tex]\sqrt{(x-4)^2+(0-(-7))^2} = 14[/tex]
[tex]\sqrt{x^2 - 8x + 16 + 49} = 14[/tex]
[tex]\sqrt{x^2 - 8x + 65} = 14[/tex]
[tex](\sqrt{x^2 - 8x + 65})^2 = 14^2[/tex]
[tex]x^2 - 8x + 65 - 196 = 0[/tex]
[tex]x^2 - 8x - 131 = 0[/tex]
So [tex]a = 1, b = -8, c = -131[/tex]
[tex]\bigtriangleup = (-8)^{2} - 4(1)(-131) = 588[/tex]
[tex]x_{1} = \frac{-(-8) + \sqrt{588}}{2} = 16.12[/tex]
[tex]x_{1} = \frac{-(-8) - \sqrt{588}}{2} = -8.12[/tex]
The points are: (16.12,0),(-8.12,0).
Tanya is printing a report. There are 100 sheets of paper in the printer, and the number of sheets p after t minutes of printing is given by the function p(t)=-8t+100.
Answer:
0=-8t + 100
8t=100
t=12.5 minutes
Step-by-step explanation:
Hope this helped! Im sorry if it didn't. Here is the link:
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Which are characteristics of life?
Which transformation of line segment AB would result in an image parallel to AB?
2(z + 5) + 4 = -12 What does z equal?
Answer: z = -13
Step-by-step explanation:
2z + 10 + 4 + = - 12
2z = -10 -4 - 12
2z = -26
z = -13
Leticia has two bouquets of flowers. Each bouquet contains 6 daisies. • Bouquet S contains 30 flowers. • Bouquet T contains 12 flowers. Which statement is true? The probability of randomly selecting a daisy from Bouquet Sis 50% The probability of randomly selecting a daisy from Bouquet Tis 20% The probability of randomly selecting a daisy from Bouquet S is equal to the probability of randomly selecting a daisy from Bouquet T. The probability of randomly selecting a daisy from Bouquet S is less than the probability of randomly selecting a daisy from Bouquet T. PLS HELP ASAP
Answer:
The probability of selecting a daisy from S is less than the probability of selecting a daisy from T.
Step-by-step explanation:
The probability of selecting a daisy from S is 6/30=20%.
The probability of selecting a daisy from T is 6/12=50%
The probability of selecting a daisy from S is not equal to the probability of selecting a daisy from T.
The probability of selecting a daisy from S is less than the probability of selecting one from T.
Hello, happy Friday, I am just here with some geometry questions.
Please only answer this if you know the answer. If you have a comment, please add it to the comment box. Only answer the question if you can explain your answer and why you think it is accurate. Thanks, good luck!
Be sure to show your answer and work using a coordinate plane.
Answer:
U'(-14, 8)Step-by-step explanation:
The transformations include:
T<-2,2>·D3This is a dilation by a scale factor of 3 and then translation 2 units left and 2 units up.
The transformation applied to the point U:
U(-4,2) → U'(-4*3 - 2, 2*3 + 2) = U'(-14, 8)Your teacher has disabled instant marking. Your marks will appear after the due date.
A community centre organises a raffle to raise money for charity.
There is 1 prize to be won in the raffle.
Daniel buys 17 raffle tickets.
A total of 280 tickets were sold.
Find the probability that Daniel does not win the prize?
Answer:
0.9393 = 93.93% probability that Daniel does not win the prize
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, we have that:
There are 280 tickets.
Daniel does not have 280 - 17 = 263 of them. So
263/280 = 0.9393
0.9393 = 93.93% probability that Daniel does not win the prize
Is the function linear, exponential or neither ? Help me please
Hello! :)
[tex]\large\boxed{\text{Linear.}}[/tex]
The function pictured is a straight line, so it has a constant slope for all x values.
A function that has the same slope on its domain and when graphed is a straight line is a linear function.
HELP PLEASE!
The sum of angles P and Q is 126 degrees. Write and solve an equation to determine the value of x.
Answer:
Step-by-step explanation:
R = 180°-P-Q = 180°-(P+Q) = 180°-126° = 54°
9x = 54°
x = 6°
You are choosing between two health clubs. Club A offers membership fee of $16 plus a monthly fee of $23. Club B offers membership for a fee of $20 plus a monthly fee of $21. After how many months will the total cost of each health club be the same? What will be the total cost for each club?
Answer:
After five months, the total cost would be the same.
Step-by-step explanation:
You'd have to write equations for the price per month for each club.
Let
x
equal the number of months of membership, and
y
equal the total cost.
Club A's is
y
=
25
x
+
40
and Club B's is
y
=
30
x
+
15
.
Because we know that the prices,
y
, would be equal, we can set the two equations equal to each other.
25
x
+
40
=
30
x
+
15
. We can now solve for
x
by isolating the variable.
25
x
+
25
=
30
x
.
25
=
5
x
.
5
=
x
After five months, the total cost would be the same.
Sarah and Jack go shopping Jack spends 20 percent of his money and Sarah spends 1/4 of her money how spends more?
I really need help !!
Answer:
x =44
Step-by-step explanation:
180 - 86 - 50 = 44
find the missing length indicated
Answer:
C) 6
Step-by-step explanation:
Explain why a regular polygon cannot have an interior angle that is 40°.
Answer:
Explained below.
Step-by-step explanation:
The formula for the interior angle of any regular polygon is given as;
Interior Angle = 180(n - 2)/n
Where n is number of sides
We are told the interior angle is 40°
Thus;
180(n - 2)/n = 40
Cross multiply to get;
180n - 360 = 40n
180n - 40n = 360
140n = 360
n = 360/140
n = 2.57
Number of sides of a regular polygon cannot be in decimal nor can it have less than 3 sides.
Thus, a shape with interior angle of 40 cannot be a polygon.
There is no regular polygon that has just 2 sides, therefore, a regular polygon cannot have an interior angle that is 40°.
The sum of all the interior angles of a regular polygon is given as, (n - 2)180.
Thus, assuming an interior angle is 40°, thus, let's find out if there is any regular polygon that has an interior angle that measures 40° using the formula, (n - 2)180.
Thus:
(n - 2)180 = 40
Solve for n180n - 360 = 40
180n = 40 + 360
180n = 400
Divide both sides by 180n = 400/180
n = 2.22
Thus, there is no regular polygon that has just 2 sides, therefore, a regular polygon cannot have an interior angle that is 40°.
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A beverage factory produced 337.2 liters of cream soda in 4 minutes. How much cream soda, on average, did the factory produce
each minute?
A)
82.55
B)
84.25
84.30
D)
85.10
PLEASE HELPPP
I literally don’t understand what to do
In △ABC, m∠B = 90°, m∠C = 15°, M ∈
BC. If m∠BAM = 60°, AM = 10 in. Find: AB
URGENT
Answer:
Step-by-step explanation:
You end up with a 30°-60°-90° triangle inside of △ABC.
The sides of a 30°-60°-90° triangle are always in the ratio 1:√3:2.
AB is opposite the 30° angle. AM is opposite the 90° angle and has length 10, so AB is half the length of AM.
AB = 5 units.
Which number line model represents the expression -4+7.25
Answer: c
Step-by-step explanation: start at -4 then add 7 to that then .5
12) A study conducted at a certain college shows that 55% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that among 7 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating
Answer:
[tex]P(At\ least\ 1) = 0.9963[/tex]
Step-by-step explanation:
Represent the probability that a graduate finds a job with p
[tex]p = 55\%[/tex]
Required
Determine the probability that at least 1 of 7 gets a job.
In probability:
[tex]P(At\ least\ 1) = 1 - P(None)[/tex]
So, we calculate the probability that none of the 7 gets a job.
Represent the probability that a graduate will not get a job with q.
[tex]q= 1 - p[/tex]
[tex]q= 1 - 55\%[/tex]
[tex]q=45\%[/tex]
Represent as decimal
[tex]q = 0.45[/tex]
The probability that none of the 7 will get a job is [tex]q^7[/tex]
i.e.
[tex]P(None) = q^7[/tex]
So, we have:
[tex]P(At\ least\ 1) = 1 - P(None)[/tex]
[tex]P(At\ least\ 1) = 1 - q^7[/tex]
Substitute 0.45 for q
[tex]P(At\ least\ 1) = 1 - 0.45^7[/tex]
[tex]P(At\ least\ 1) = 1 -0.00373669453[/tex]
[tex]P(At\ least\ 1) = 0.99626330547[/tex]
[tex]P(At\ least\ 1) = 0.9963[/tex] -- approximated
Simplify Rewrite the expression in the form 6^-6/6^-5
Answer:
6^-1
Step-by-step explanation:
The simplified form of the expression is 6⁻¹
What are exponents?Exponent is a mathematical operation, written as an. Here the expression an involves two numbers, the base 'a and the exponent or power 'n'. Exponents are used to simplifying algebraic expressions.
Giiven here: 6⁻⁶/6⁻⁵ = 6⁻⁶⁺⁵
= 6⁻¹
Hence, The simplified form of the expression is 6⁻¹
Learn more about exponents here:
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NEED THIS ANSWER IN 5 MINS PLSGraph parabola functions
WILL GIVE BRAINLIEST PLS I BEG U PLS PLS PLS PLLS ANSWER THIS
Answer:
18
Step-by-step explanation:
you divide each value by 2 and times by 3 to get the values in the bigger triangle. this logic makes the missing side 18
Answer:
17
Step-by-step explanation:
Do You Understand?
1. Jesse has a bottle that contains 1o liter
of water. He drinks 7 liter. Jesse says he
has liter left. Is he correct? Explain.
Answer:
Ok, so this is a word game, basically. The answer would be no, he is not correct BECAUSE...⬇
Step-by-step explanation:
It looks to be asking "Is Jesse correct in saying that he has EXACTLY one liter left?" That would be a no because even though 10L-7L= 3L, the problem asks if he does have exactly ONE liter left, and Jesse says he DOES. But, according to my little equation above, if he drank 7L, he would have 3L left, NOT 1L. Soo, my answer would be "No, Jesse is not correct because 10L-7L=3L and if he says there is 1L left, he would not be correct because there are 3L left." Hope that helps!
Solve, using a proportion.
If there are 75 pepperoni on
5 large pizzas, how many pepperoni
are there on 3 large pizzas?
Answer:
45/3 i believe.
Step-by-step explanation:
75 divided by 5 is 15 so 15 X 3 is 45 so coverting it into a pproportion should be 45/3
Answer:
45
Step-by-step explanation:
The 24/7 Truck Rental Company has been charging an initial rental fee of $29 plus $2.50 per hour for rental of their small trucks. After a change in pricing policy, the new fee will be $19 up front plus $3.25 per hour. After how many hours of renting the truck will the new plan be more expensive than the old plan
Answer:
14 hours
Step-by-step explanation:
Old plan :
Initial fee =. $29
Hourly fee = $2.50
New plan :
Initial fee = $19
Hourly fee = 3.25
Let number of hours = x
When new plan will be more expensive than old plan :
19 + 3.25x > 29 + 2.50x
3.25x - 2.50x > 29 - 19
0.75x > 10
x > 10 / 0.75
x > 13.3333
After 14 hours
Assume that when adults with smartphones are randomly selected, 44% use them in meetings or classes. If 8 adult smartphone users are randomly selected, find the probability that exactly 2 of them use their smartphones in meetings or classes.
Answer: The probability is 0.448
Step-by-step explanation:
First, 44% of adults use their smartphones in meetings or classes, then the probability that a random adult uses their smartphone on a meeting is:
p = 0.44
Then the probability that a random adult do not use it is:
q = 1 - 0.44 = 0.66
If 8 adult smartphone users are randomly selected, find the probability that exactly 2 of them use their smartphones in meetings or classes.
For a random (and fixed) case, the probability will be equal to the product of the individual probabilities for each person, this leads to:
P = (0.44)*(0.44)*(0.66)*(0.66)*(0.66)*(0.66)*(0.66)*(0.66)
P = (0.44)²*(0.66)⁶ = 0.016
And now we need to consider the different combinations. If we have C combinations, then the probability for the event will be C*P.
Remember that if we have N elements, the total number of different groups of K elements (from these N elements) is:
[tex]C(N,K) = \frac{N!}{(N - K)!*K!}[/tex]
In this case, we have N = 8, and K = 2
Then we get:
[tex]C(8, 2) = \frac{8!}{(8 - 2)!*2!} = \frac{8!}{6!*2!} = \frac{8*7}{2} = 4*7 = 28[/tex]
Then there are 28 different combinations.
This means that the probability is:
Probability = 28*P = 28*0.016 = 0.448
Probability = 0.448
Pleeeeaase help me!! ;-;
what is the vertex of
f(x)= |x - 3| + 2
A. (2, 3)
B. (3, 2)
C. (2, -3)
D. (5, 5)
B . (3,2)
Step-by-step explanation:
I'm unsure of how to explain it but it is B :) have a good day !