If two events, event A with probability P(A) and event b with probability P(B) are complementary events then the sum of the probability of events A and B will be one.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
When one event happens if and only if the other one doesn't, two occurrences are said to be complimentary. The odds of two complementary events equal one.
P(A) + P'(A) = 1
The chance of events A and B added together will equal one if events A with probability P(A) and event B with probability P(B) are complementary occurrences.
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Find the equation of the line show
Answer:
the equation is y=1/2+0.5
Q/R = g/F solve for F
Answer:
the answer is
Step-by-step explanation:
Q/R= G/F
= QF=GR
divide both sides by Q
Q and Q are off so
therefore F= GR/Q
Four lines are plotted on the coordinate plane.
Line 1
-10
Line 1
Line 2
Line 3
-10
O Line 4
10
Which line shows a proportional relationship?
Line 2
Line 3
Line 4
Answer:
Line 3
Step-by-step explanation:
Proportional relationship:
• They are straight lines that have a constant slope
• The line must pass through the origin at (0,0)
• The y intercept is zero
The only line passing through the origin at the point (0,0), is Line 3
TASK 2-Percentages (34 Marks)
Topic: Finding Percentages
1. Suppose you have a grandmother who gives you one cent on your first birthday. The
next year she gives you 3 cents, the following year 9 cents. Each year she triples the
amount she gave the year before until you are 13.
How much money would you have on your 12 birthday? you would have
$154
72
(a) Complete the table below (BMarks)
Birthday
1
2
3
4
5
6
7
8
9
10
11
12
13
Total
Money
1c
3c
9c
27c
81c
$2.43
34 86
39 72
$19 34
338 68
377 36
$154 72
Percentage
3309-44
$309 44
(b) What percentage is the amount of money on your 12th birthday to the total money
given by your grandmother. Your percentage need to be corrected to two decimal
places. You need to show all the steps for your percentage calculation.
Answer:
1; 1
2:3
3:9
4:27
5:81
6:243
7:729
8:2,187
9:6,561
10:19,683
11:59,049
12:177,147
Which choice shows 17+14+ 13 rewritten correctly using the commutative
property and then simplified correctly?
Answer:
Could I see the available choices?
Step-by-step explanation:
Answer:
didnt have the choices but any that would have it as the same problem different order
Step-by-step explanation:
17+14+13=13+14+17=14+13+17=14+17+13=17+13+14=13+17+14
Rewrite literal equations.
Solve for m:
e=mc squared.
Answer:
m = e/c
Step-by-step explanation:
Jorge Rodriguez earns an annual salary of $48,000. What are his weekly wages?
Answer:
923.08
Step-by-step explanation:
48000/52 weeks
Answer:
923.08
Step-by-step explanation:
There are 52.1429 weeks in a year, so divide.
(3x-5)/4 is less than or equal to -1
How to solve for x?
Step-by-step explanation:
[tex] \frac{3x - 5}{4} \leq1[/tex]
[tex]3x - 5 \leq1 .4[/tex]
[tex]3x - 5 \leq4[/tex]
[tex]3x \leq4 + 5[/tex]
[tex]3x \leq9[/tex]
[tex]x \leq \frac{9}{3} [/tex]
[tex]x \leq3[/tex]
x = {3,2,1,0,...}
What formula would you use to find 50 is what percent of 20?
a) p = rb
b) r = p/b
c) i = prt
d) b = p/r
We would use r = p/b formula to find 50 is what percent of 20.
The correct answer is an option (b)
For given question,
we need to find the formula which we use to find 50 is what percent of 20
We make the assumption that 20 is 100% since it is our output value.
Let the value we seek be m.
So, 100 % = 20 ...............(1)
m % = 50 ..............(2)
By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
[tex]\frac{100\%}{m\%}=\frac{2}{5}[/tex]
So, m = 250%
This means, 50 is 250% of 20
The formula PERCENTAGE p = rb – The result obtained when a number is multiplied by a percent.
The formula BASE ( b = p/r) – The whole in a problem. The amount you are taking a percent of.
The formula RATE (r = p/b) – The ratio of amount to the base. It is written as a percent.
Therefore, we would use r = p/b formula to find 50 is what percent of 20.
The correct answer is an option (b)
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PLEASE HELP (at least c)
A machinist is required to manufacture a circular metal disk with area 715cm squared
. Give your answers in exact form. Do not write them as decimal approximations.
a) What radius, x , produces such a disk?
b) If the machinist is allowed an error tolerance of ±5cm2 in the area of the disk, how close to the ideal radius in part (a) must the machinist control the radius?
c) Using the ε / δ definition of a limit, determine each of the following values in this context:
f(x)=
a=
L=
ε=
δ=
The 715 cm² area of the disc and the ±5 cm² error tolerance, gives;
a) x = √(715/π) cm
b) The range for the radius is; [√(710/π) cm, √(720/π) cm]
c)
f(x) = π•x²
L = 715 cm²
E = 5 cm
d = √(5/π) cm
How can the variables in the [tex] \epsilon / \delta [/tex] definition of limits be found?Area of the circular metal disk = 715 cm²
a) Required; The disk radius
Let A represent the area of the disk and let x represent the radius, we have;
A = π•x²
Therefore;
x = √(A/π)
Which gives;
x = √(715/π) cm
b) Allowed area error tolerance = ± 5 cm²
The allowed range of values for the area is therefore;
710 ≤ A ≤ 720Which gives;
√(710/π) ≤ x ≤ √(720/π)
c) From the [tex] \epsilon / \delta [/tex] definition of limits, we have;
[tex] \lim\limits_{x → √(715/π)} f(x) = 715 [/tex]
Which gives;
f(x) = A = π•x²
L = 715
|f(x) - L| < E = 5 cm
|x - √(715/π)| < d = √(5/π)
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find the sum or standard form of 10⁰+9⁰+7⁰+5⁰+3⁰+1¹⁰⁰
Answer:
6
Step-by-step explanation:
10⁰=1
9⁰=1
7⁰=1
5⁰=1
3⁰=1
1¹⁰⁰=1
so,
10⁰+9⁰+7⁰+5⁰+3⁰+1¹⁰⁰=1+1+1+1+1+1=6
Answer:
6
Step-by-step explanation:
We are working with exponents
Any number to the power of 0 is 1
a^0 = 1
1 to a power is 1
10⁰+9⁰+7⁰+5⁰+3⁰+1¹⁰⁰
1 + 1 + 1 + 1 + 1 + 1
6
Choose the graph that depicts one-to-one function
Answer:
Using the horizontal line test, the one to one functions are those which do not intersect with the line more than one time
In the given graphs, the fourth graph represents the one - one fucntion.
Use the concept of graph of fucntion defined as:
Drawing the curve that represents a function on a coordinate plane is known as graphing a function. Every point on the curve will satisfy the function equation if the curve (or graph) reflects the function.
The graph of a one-to-one function is a representation that shows each input value (x) uniquely paired with a corresponding output value (y), with no repetition or overlap in the mapping.
It passes both the vertical line test and horizontal line test, ensuring each input has a distinct output and vice versa.
In the fourth graph:
Apply the vertical line test and we get,
Each input has a distinct output.
Hence,
The fourth graph represents the one-one fucntion.
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A basketball player's free throw percentage is 82.5%, or 0.825.
Write this as a fraction.
A. Identify the place value of the last digit in the terminating
decimal. Use this to determine the denominator of the
fraction. The digits to the right of the decimal point are
the numerator of the fraction.
0.825 = 825
Answer:
The 5 is in the thousandths place.
825/1000
Step-by-step explanation:
Simplified this would be 33/40
825/1000 Divide the top and bottom by 25
Help me with this please
The correct option is the first one, (1.176*10¹) is 14.7 times larger than (8*10⁻¹)
How many times larger is the first number than the second number?Here we want to see how many times larger is (1.176*10¹) larger than (8*10⁻¹), we can see that both numbers are in scientific notation.
To check that, we just need to take the quotient between the two numbers, we will get:
(1.176*10¹)/(8*10⁻¹) = (1.176/8)*(10¹/10⁻¹)
(1.176/8)*(10¹/10⁻¹) = (1.176/8)*(10¹⁻⁽⁻¹⁾) = (1.176/8)*10² = 0.147*10²
Now, returning to standard notation, we can rewrite:
0.147*10² = 14.7
The correct option is the first one, (1.176*10¹) is 14.7 times larger than (8*10⁻¹)
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B
Set-up an equation and solve for x.
2x-12
H
C
x+9
12
D
+
|| || ||
0000
Answer:
2x – 12 + 12 = x + 9
2x = x + 9
x = 9
three quarters of the 84 crayons are broken. How many crayons are broken?
Answer:
63 crayons are broken
Step-by-step explanation:
84 ÷ 4 = 21
21 x 3 = 63
can be checked by 84 - 63 = 21
gerry withdraws all the principal and interest after the first year and deposits it into another one year account at the same rate. what will his interest be for the second year? d. what will his balance be after two years ?
a. Interest of the first year = $26.93
b. Balance after the first year = $1256.93
c. Interest for the second year = $27.52
d. Balance after the second year = $1284.45
Although a part of your question is missing, you might refer to this full question: Gerry deposited $1230 in an account that pays 2.19% simple interest for one year.
a. How much interest will he earn in one year?
b. What will be his balance after one year?
c. Gerry withdraws all of the principal and interest after the first year and deposits into another one-year account at the same rate. What will be his interest for the second year?
d. What will his balance be after two years?
Principal = $1230
Rate = 2.19%
Formula to be used:
Simple interest = (P*R*T)/100
where P = principal
R = rate
T = time in years
Calculating interest for the first year:
S.I = (1230*2.19*1)/100
S.I = 26.93
So, he will earn $26.93 as interest in the first year
And balance after the first year will be $1256.93
Solving for the second year:
P = 1256.93
S.I = (1256.93*2.19*1)/100
= 27.52
So, interest for the second year will be $27.52
And balance after the second year will be $1284.45
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Please help due soon.
Answer:
Step-by-step explanation:
Answer:D
Step-by-step explanation:
33. In this code puzzle each letter has a different numerical value. The totals for each word are reached by adding together individual values. What is the total value of the word ENTREE?
tea = 30
neat = 50
tan = 40
ten = 35
tear = 55
Answer:
tear 35 is ans
pla mark me brainliest ans
Answer:
Hello,
Answer 80
Step-by-step explanation:
[tex]\left\{\begin{array}{cccc}t+e+a&=&30&(1)\\n+t+e+a&=&50&(2)\\t+a+n&=&40&(3)\\t+e+n&=&35&(4)\\t+e+a+r&=&55&(5)\end{array} \right.\\\\\\\left\{\begin{array}{cccc}n&=&20&(2)-(1)=(6)\\t+a&=&20&(7)\\t+e&=&15&(8)\\r&=&25&(5)-(1)=(9)\\t+e+a&=&30&(1)\end{array} \right.\\\\\\\left\{\begin{array}{cccc}n&=&20&(6)\\t&=&5&(7)+(8)-(1)=(10)\\a&=&15&(7)\ and \ (10)\\e&=&10&(8)\ and \ (10)\\r&=&25&(9)\\\end{array} \right.\\[/tex]
[tex]\\\\\boxed{ENTREE=3*e+n+t+r=3*10+20+5+25=80}\\[/tex]
The number of rabbits on a farm at the end of month n is Pn The number of rabbits at the end of the next month is given by Pn+1 = 1.2P - 50 At the end of March there are 200 rabbits on the farm. (a) Work out how many rabbits there will be on the farm at the end of June. (b) Considering your results in part (a), suggest what will happen to the number of rabbits on the farm after a long time.
We need to know how to solve the equations by substituting values for this problem. (a)The number of rabbits on the farm at the end of June is 164 and (b) after a long time the number of rabbits on the farm will become zero.
In the given question we know that the number of rabbits on a farm at the end of month n is [tex]P_{n}[/tex] and that the number of rabbits at the end of the next month is [tex]P_{n+1} =1.2P_{n} -50[/tex]. We know that the number of rabbits at the end of March is 200, so we can have [tex]P_{1}[/tex]=200, we need to find the number of rabbits at the end of June, which will be [tex]P_{4}[/tex], we can form an equation from here
[tex]P_{4} =1.2P_{3} -50[/tex]
Since we don't know what [tex]P_{3}[/tex] is we can replace it by [tex]P_{2}[/tex] and then replace that by [tex]P_{1}[/tex].
[tex]P_{4} =1.2P_{3} -50\\P_{4} =1.2(1.2P_{2} -50)-50\\P_{4} =1.2(1.2(1.2P_{1} -50)-50)-50 = 1.2(1.44P_{1} -60-50)-50=1.728P_{1} -72-60-50=1.728P_{1} -182[/tex]
We know that [tex]P_{1} =200[/tex]
So, [tex]P_{4}[/tex]=1.728x200-182=345.6-182≈164
Therefore the number of rabbits at the end of June is 164 and after a long time the number of rabbits on the farm might become zero since the number of rabbits is decreasing with every month.
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The tallest building in the world is the Burj Khalifa tower in Dubai in the United Arab Emirates2. The elevator within the tower descends at a rate of 33 feet per second.3
Suppose you get on the elevator at the observation deck. After
10 seconds, you look at the display and see that you are now
1,490 feet above ground. Use the point-slope formula to find the linear equation for this situation. Let H(t) represent the height of the elevator above the ground t seconds after the elevator begins to descend.
The linear equation to calculate the height is H(t)=33t.
Given that the elevator descends at the speed of 33 feet/second.
If a person gets on the elevator at the observer deck and after 10 seconds he finds himself at 1490 feet above the ground then height descended in 10 seconds= 33×10
= 330 feet
The height of the observer deck from the ground = 1490+330
= 1820 feet
The required equation to calculate the height of above the ground H(t)=33t.
We can calculate the height of the elevator at any instant using the above expression.
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Brittney is 4 years older than Dakota. The variable b stands for Brittney's age. Which expression stands for Dakota's age?
A. 4b
B. 4 - b
C. b + 4
D. b - 4
Evaluate Piecewise Functions, please help asap! Thank you!
Answer:
4, -1, 5, -2
Step-by-step explanation:
*PLS HELPPP*
Yolanda is buying supplies for school. She buys n packages of pencils at $1.10 per package and m pads
of paper at $1.70 each. What does each term in the expression 1.1n +1.7m represent? What does the
entire expression represent?
The term 1.1n represents the (select)
The term 1.7m represents the (select)
The expression represents the (select)
Answer:
1.1n represents the cost of the pencils
1.7m is the cost of the pads of paper
The expression represents that she bought a package of pencils and a pad of paper
Step-by-step explanation:
Suppose that an angle is bisected to form two smaller angles that measure (3+30)° and (5+6)° . What is the measure of the original angle?
°
Based on the angles addition theorem, the measure of the original angle = 44°.
What is the Angles Addition Theorem?The angles addition theorem states that if an angle is bisected to form two smaller angles, then the sum of the measures of the two smaller angles equals the measure of the original angle that is bisected.
Given that the two smaller angles formed when bisected are: (3+30)° and (5+6)°. Based on the angles addition theorem:
The measure of the original angle = (3+30)° + (5+6)°
The measure of the original angle = 33° + 11°
The measure of the original angle = 44°
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-1. 64 as a mixed number in simplest form
Answer:
Step-by-step explanation:
Describe maysa's error. explain how you would use a model or place-value concepts to help maysa build understanding. give the correct answer in your explanation.
2/3 would use a model or place-value concepts.
What is probability?
The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the formula for probability.The possible rolls are 1,2,3,4,5,6 total of 6
2 or less than 5 rolls are 1,2,3,4 total of 4
P (2 or less than 5) = total number of choices of 2 or less than 5 / total
=4/6
=2/3
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Money is borrowed at 18% simple interest. after one year, $610.06 pays off the loan. how much was originally borrowed?
The original amount borrowed was $517.
Simple Interest is the method to calculate the interest charged for a given number of years and given rate , in simple interest the principle remains same for each year.
Simple interest =[tex]\frac{P*R*T}{100}[/tex]
where P= principle, R=rate in % , T= time
We know that Amount= Principle+ Simple Interest........(1)
According to the question
Amount=$610.06
Rate=18%
time = 1yr
Substituting the value in equation (1) we get
[tex]610.06=P+\frac{P*18*1}{100}[/tex]
[tex]610.06=\frac{100P+18P}{100}[/tex]
[tex]610.06=\frac{118P}{100}[/tex]
[tex]61006=118P[/tex]
[tex]P=\frac{61006}{118}[/tex]
[tex]P=517[/tex]
Therefore , The original amount borrowed was $517.
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The line y=x+1 intersects the graph of y=x^2-3x-11 at the points A and B
Find the coordinates of A and B
Answer:
(6, 7) and (-2, -1)
Step-by-step explanation:
if y=x+1 intersects with y=x^2-3x-11
then we need to find x and y such that both of those equations are true.
If y = x + 1 is true and y=x^2-3x-11, then
y - y = x^2-3x-11 - x - 1 is also true
0 = x^2 - 4x - 12
use your preferred method to solve the quadratic equation
0 = (x - 6)(x + 2)
x = 6 or x = -2
now for each x we take y from either equation, but y = x + 1 is simpler.
for x = 6 the coordinates are (6, 7) and for x = -2 the coordinates are (-2, -1)
Splash city water park has 14 different rides. Each customer goes on an average of 8.4 rides, with standard deviation of 2. The distribution of rides customers go on is normal. What percent of the riders go on more than 10 rides? Round to the nearest percent.
Using the normal distribution, it is found that 21% of the riders go on more than 10 rides.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 8.4, \sigma = 2[/tex]
The proportion of riders that go on more than 10 rides is one subtracted by the p-value of Z when X = 10, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (10 - 8.4)/2
Z = 0.8
Z = 0.8 has a p-value of 0.7881.
1 - 0.7881 = 0.2119 = 21.19% = 21%(rounded to the nearest percent)
21% of the riders go on more than 10 rides.
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