Answers
Answer:
1) Answer is D
2) Answer is C
3) Answer is D
Step-by-step explanation:
Problem 1
Since we are given 12 numbers to choose from, there's a 2/12 chance of selecting a 2. Additionally, there's a 3/11 chance of selecting a number divisible by 4 AFTER selecting a 2. Thus, since the two events are independent, their probabilities are multiplied, so the probability of selecting a 2 and then a number divisible by 4 is (2/12)(3/11) = 6/132 = 1/22, so option D is correct.
Problem 2
There's a 4/12 chance of selecting an odd number and a 6/11 chance of selecting an even number AFTER selecting an odd number (remember that 0 is neither even nor odd). Multiplying the probabilities, the probability of drawing an odd number and then drawing an even number is (4/12)(6/11) = 24/132 = 2/11, so option C is correct.
Problem 3
There's a 2/12 chance of selecting a zero and a 1/11 chance of selecting a second zero. Thus, multiplying their probabilities, the probability of drawing 2 zeroes is (2/12)(1/11) = 2/132 = 1/66, so option D is correct.
Related Questions
Guys I have a calculus test tomorrow and need help ASAP
Answers
Answer:
1) (Un) is a geometric sequence.
2) Un+1 - Un ≤ 0.
3) (Un) is decreasing.
4) (Un) is convergent.
5) sum = 155
Step-by-step explanation:
Un+1 = 0.5Un
U₀ = 80
1) U is a geometric sequence (reason : Un+1 = 0.5Un).
2) Un+1 - Un = 0.5Un - Un = Un×(0.5 - 1) = -0.5Un ≤ 0 (because Un ≥ 0).
Remark: use Mathematical induction to prove that Un ≥ 0
3) Un+1 - Un ≤ 0
then
Un+1 ≤ Un
then
the sequence U is decreasing.
4) U is decreasing and Un ≥ 0
Then U is convergent.
5) Since U is geometric sequence with first term U0 = 80 and common ratio = 0.5 .
Important: review the sum of consecutive terms of a geometric sequence.
Then
[tex]U_0+ U_1+ U_2+ U_3+ U_4=U_{0}\times \frac{1-\left( 0.5\right)^{5} }{1-0.5}=160\times(1-\left( 0.5\right)^{5} )=155[/tex]
Jen spent $12 on school supplies. Percy spent 3 times as much on school supplies, and also bought a reusable water bottle for $6. How much money did Percy spend?
1 block is labeled Jen's purchase, 12 dollars. A rectangle divided into 4 blocks is labeled Percy's purchase. 1 of the blocks is labeled 6 dollars. 12 times 3 = 36. 36 minus 6 = 30.
What error did Percy make in his calculation? its C i guessed it correct
Answers
Answer:
12 * Answer:
12 x 3 = 36 + 6 = 42,
Step-by-step explanation:
Step-by-step explanation:
Solve the inequations
3(1-2x) > 3-6x
Answers
Answer:
no solutions
Step-by-step explanation:
3(1-2x) > 3 -6x, distribute multiplication by 3 over the subtraction
3 - 6x > 3 - 6x, because the left side is the same as the right side
this statement is never true, therefore this inequality has no solutions.
What is the circumference of the circle? (use 3.14 for pi)
(WORTH 30 POINTS)
Answers
Answer:
119.32
Step-by-step explanation:
[tex]A = 2 * 3.14 * 19 = 119.32[/tex]
(Score for Question 1: ___ of 10 points)
1. There are 8 ounces in 1 cup and 16 cups in 1 gallon.
(a) Diane brought 4.5 gallons of water to a campout. How many ounces of water did she bring? Show your work.
(b) Diane started a hike with 24 ounces of water in her backpack. What fraction of a gallon of water did she start the hike with? Show your work.
Answer:
Answers
The total ounces of water Diane brought are 576 ounces and the fraction of a gallon of water did she start the hike with is 3/16.
What is cost price per ounce?The cost price per ounce is the amount of money required to buy one ounce of a brand or goods.
To find the cost price per ounce, divide the total amount of cost of the goods to the total number of goods.
1. There are 8 ounces in 1 cup and 16 cups in 1 gallon. Diane brought 4.5 gallons of water to a campout. Let x ounces of water, did she bring. Thus,
[tex]x=4.5\times16\times8\\x=576\rm\; ounces[/tex]
Diane started a hike with 24 ounces of water in her backpack. The fraction of gallons in 24 ounces is,
[tex]n=\dfrac{24}{8\times16}\\n=\dfrac{3}{16}[/tex]
Thus, the total ounces of water Diane brought are 576 ounces and the fraction of a gallon of water did she start the hike with is 3/16.
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What is a good estimate and the actual measurement for this angle measurement?
A. 110 and 109
B. 95 and 96
C. 90 and 91
D. 70 and 71
Answers
Reason
Using theory that all angles combined will equal 360
Using theory of alternate interior angles, using 110 means alternate interior will be 110. To complete the angle the other side is 70 for the 180 degree angle.
Doing the same thing on the other side using 109 and 71 = 180
The picture might help
If point A is reflected across both axes, what are the coordinates of the reflected point?
(6, 3)
(-6, 3)
(-6, -3)
(6, -3)
Answers
Answer:
When you are reflecting a point, you are reversing its' axes. In this case, the reflection of (-6,-3) is (6,3).
Step-by-step explanation:
PLEASE MARK BRAINLESS
Question 2 of 10
The expression √3x is equivalent to the expression x√3.
Answers
Answer:
See below
Step-by-step explanation:
[tex]\sqrt{3}[/tex] x IS equivalent to x [tex]\sqrt{3}[/tex]
[tex]\sqrt{3x}[/tex] is NOT equivalent to x [tex]\sqrt{3}[/tex]
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!
Answers
Step-by-step explanation:
the last 2 answer options are completely useless and outright nonsense, because all limits are going against +4.
so, an asymptote at x = -4 is not an option anywhere.
g(x) is always y, and the limit of the function is the limit of the y values.
we just evaluate for what x value is then y reaching that limit. but the sign of the y limit has no direct impact on the sign of the x value.
it is true that the case x = -4 needs to be checked too, but it turns out this just delivers g(-4) = 0.
now, about x = 4 :
when coming from the left side of +4 (increasing x), what is the sign of the function ?
we can simply use x = 3 to test this :
g(3) = 2(3+4)²/(3² - 16) = 2×49/-7
so, it is negative.
that means when getting closer and closer to +4 coming from that side we what get negative values, and the limit is -infinity.
when coming from the right side of +4 (decreasing x), what is the sign of the function ?
we can simply use x = 5 to test this :
g(3) = 2(5+4)²/(5² - 16) = 2×81/9
so, it is positive.
that means when getting closer and closer to +4 coming from that side we what get positive values, and the limit is +infinity.
so, the second answer option is correct.
because of these y limits, there is a vertical asymptote at x = 4 that kind of "connects" -infinity and +infinity in y direction at that location and symbolizes the limits of y.
which expression is equivalent
to -14 - 35 d please help for 50 points
Answers
Answer:
number 1
Step-by-step explanation:
5. A student gets 9 out of 15 problems correct on a
homework assignment. What percent of the
assignment did the student get correct?
Answers
Answer:
60%
Step-by-step explanation:
9/15 as a decimal is 0.6 (use calculator) as a percentage it's %60 (0.6 * 100)
Find the solution(s) to the system of equations represented in the graph? A circle with a line intersection at (-2,0) and (0,2)
Answers
Answer:
This is your teacher if you do this again, I will contact your parents and you will get in big trouble.
Step-by-step explanation:
Which of the following figures has a circumference that is closest to 121 inches?
A
a circle with a diameter of 38.5 inches
B
a circle with a diameter of 19.3 inches
C
a circle with a radius of 38.5 inches
D
a circle with a radius of 6.2 inches
Answers
Answer:
B
a circle with a diameter of 19.3 inches
In parallelogram JKLM if LJ=28 find LN.
Answers
Answer:
LN = 14
Step-by-step explanation:
In parallelogram diagonals bisect each other. That means that one diagonal cuts the other in half.
LJ is the diagonal and LN is a half of the diagonal.
[tex]\text{LN} = \frac{28}{2} = 14[/tex]
What is the common difference if the arithmetic sequence below? -5,-1,3,7…..
Answers
Answer:
4
Step-by-step explanation:
-1 - (-5) = 4
3 - (-1) = 4
7 - 3 = 4
What is the volume of this box? Cardboard box A. 15 cm3 B. 96 cm3 C. 120 cm3 D. 148 cm3
Answers
a natural number when divided by 12 15 18
Answers
Answer:
173
Step-by-step explanation:
Assume the natural number is x.
x/12 = ... R 5
x/15 = ... R 8
x/18 = ... R 11
Thus, x+7 is divisible by 12, 15 and 18 all together.
The smallest possible number of x+7 can be calculated with prime factorization.
12=2^2 * 3
15=3 * 5
18=2 * 3^2
The smallest possible number for x+7 is 2^2 * 3^2 * 5 = 4 * 9 * 5 = 180.
Therefore, the smallest possible solution for x is 180 - 7 = 173.
Write the equation of the line in fully simplified slope-intercept form.
Answers
Answer:
y = -3/2x + 8
Step-by-step explanation:
Slope: y2 - y1 / x2 - x1
= 5-2 / 2-4
= -2/3
Y intercept is 8
Describe the reflection of the figure. A) reflection over the x-axis B) reflection over the y-axis C) reflection over the line y = 4 D) reflection over the line y = −4
Answers
Answer:
A) reflection over the x-axis
Step-by-step explanation:
use the figure to answe the question
Answers
Step-by-step explanation:
Where is the Question?
Can't answer without question
marking brainliest
please help!!!!
Answers
You have to find the height then use the height to find the x value
Is this figure a quadrilateral?
a.
c.
Cannot determine.
b.
no
Please select the best answer from the choices provided
A
B
C
Answers
Answer:
Yes its a quadrilateral
Step-by-step explanation:
It has 4 sides
Answer:
yes
Step-by-step explanation:
It is an irregular quadrilateral
Hope this helps
A sequence has a common second difference of 4 between terms. The first two terms are 3 and 12. Write down the 3rd and 4th terms.
Answers
The first two terms of the sequence are 3 and 12 and the 3rd and 4th terms are 25 and 42.
3rd and 4th terms from second level differenceThe 3rd and 4th terms of the sequence is determined from second level difference as shown below;
let the first term = asecond term = bthird term = cfourth term = d(c - b) - (b - a) = 4 ----(1)
(d - c) - (c - b) = 4 ---- (2)
from (1);
(c - 12) - (12 - 3) = 4
(c - 12) - (9) = 4
c - 21 = 4
c = 25
from (2);
(d - 25) - (25 - 12) = 4
d - 38 = 4
d = 42
The sequence = 3, 12, 25, 42
check
first difference = (12 - 3), (25-12), (42-25) = 9, 13, 17
second difference = (13 - 9), (17 - 13) = 4, 4
Thus, the first two terms of the sequence are 3 and 12 and the 3rd and 4th terms are 25 and 42.
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help asap please and thank you !!!!!
Answers
Answer:
Hope this helps
Step-by-step explanation:
Y = 3x - 10
So, 4x + 5y = 7
= 4x + 5(3x - 10) = 7
= 4x + 15x - 50 = 7
= 19x - 50 = 7
= 19x = 7 +50
= 19x = 57
= X = 57/19
X = 3
Complete the statement.
The polynomial function f(x) =_____.
(x + 2)(x - 2)(x + 13)
(x + 2)(x + 3)(x - V3)
(x - 2)(x + 13)(x - 13)
(x + 2)(x - 2)(x + 13)(x - 13)
(x - 2)+ √3
Answers
Answer:
b
Step-by-step explanation:
Because i know
A survey was given to 90 high school students. They were asked if they preferred fiction or non-fiction and if they preferred indoor or outdoor activities. Partial survey results are shown in the table.
What percent of students in the survey, to the nearest whole number, prefer outdoor activities given they prefer non-fiction?
Enter a number in the box.
P(outdoor | non−fiction)= _%
Answers
Answer:
11% of people preferred outside and non-fiction
Step-by-step explanation:
Table attached,
10/90 = 0.11
0.11 = 11%
The percent of students in the survey that prefer outdoor activities given they prefer non-fiction is 11%.
What is the percent?The first step is to determine the total number of people that like fiction: 24 + 30 = 54
Now, determine the total number of people that like non-fiction: 90 - 54 = 36
The third step is to determine the total number of people that like indoor activities and non-fiction: 50 - 24 = 26
The fourth step is to determine the total number of people that like outdoor activities given they prefer non-fiction: 36 - 26 = 10
Percentage of people that prefer outdoor activities given they prefer non-fiction = (10 / 90) x 100 = 11%
To learn more about percentages, please check: https://brainly.com/question/25764815
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Maria started the year with $235 in the bank and is saving $15 a week. Sergio started with $685 and is spending $35 a week. When will they both have the same amount of money in the bank? Write an equation(s) to represent the situation and then solve. Be sure to define your variable(s) and clearly answer the question.
Answers
Answer:
9 weeks
Step-by-step explanation:
let the time when they will both have the same amount be x
since Maria is saving then her money is bound to increase
therefore amount she will have after x weeks=235+15x
Sergio is spending so his money is reducing
therefore amount he will have after x weeks=
685-35x
so
235+15x=685-35x
685-235=15x+35x
450=50x
x= 450/50
9weeks
From a population consisting of 52% females and 48%
males, an individual, drawn at random, is found to be color blind. If we
assume that the proportions of color-blind females and males are 25% and
5%, respectively, what is the probability that the individual drawn is a
male
Answers
Answer:
2.4%
Step-by-step explanation:
Given information :
% of Females = 52%% of Males = 48%% color blind Females = 25%% color blind Males = 5%Solving :
P (male & color blind)48% x 5%0.48 x 0.050.0242.4%You invest $700 at 6.5% and it’s compounded semi-annually for 3 years. How much will your $700 be worth in 3 years?
Answers
Answer:
$10,700.
Step-by-step explanation:
Chords AB and CB intersect at E in circle O, as shown in the diagram below. Secant
PFA and tangent PD are drawn to circle O from external point and chord AC is drawn. The ratio of BF:FC:CA:AB = 3:3:4:8. Find the measures of FC,∠P,∠CEA, and ∠ABC.
Answers
Answer:
Step-by-step explanation:
