Answer:
D
Step-by-step explanation:
Answer:
D m-2
Step-by-step explanation:
Because you can see that input is m and the answer is the output
35-2=33
36-2=34
hope this helps!
pls brainliest
can someone please help with this
All correct proportions include the following:
A. \(\frac{AC}{CE} =\frac{BD}{DF}\)
D. \(\frac{CE}{DF} =\frac{AE}{BF}\)
What are the properties of similar geometric figures?In Mathematics and Geometry, two geometric figures are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Hence, the lengths of the pairs of corresponding sides or corresponding side lengths are proportional to one another when two (2) geometric figures are similar.
Since line segment AB is parallel to line segment CD and parallel to line segment EF, we can logically deduce that they are congruent because they can undergo rigid motions. Therefore, we have the following proportional side lengths;
\(\frac{AC}{CE} =\frac{BD}{DF}\)
\(\frac{CE}{DF} =\frac{AE}{BF}\)
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Gloria borrows 100,000 to be repaid over 30 years. You are given: (i) Her first payment is X at the end of year 1. (ii) Her payments increase at the rate of 100 per year for the next 19 years and remain level for the following 10 years. (iii) The effective rate of interest is 5% per annum. Calculate X: A) 5505 B) 5555 C) 5605 D) 5655 E) 5705
The value of X is $5555, the correct option is B.
We are given that;
Amount= 100000
Time= 30years
Now,
To calculate the first payment of the loan with increasing payments over time, we can use the formula for the present value of an increasing payment. The formula is:
PV = PMT1 / (r - g) * (1 - (1 + g / (1 + r))^(-n))
Where:
- PV is the present value of the loan
- PMT1 is the first payment
- r is the effective annual interest rate
- g is the growth rate of payments
- n is the number of payments
We can solve for PMT1 by substituting all other values into the formula.
The effective annual interest rate is 5% per annum.
The growth rate of payments is 100 per year for the next 19 years and remain level for the following 10 years.
Therefore, g = 100 for 19 years and 0 for 10 years. The number of payments is 30.
Substituting these values into the formula gives:
100000 = PMT1 / (0.05 - 0.01) * (1 - (1 + 0.01 / (1 + 0.05))^(-30))
Solving for PMT1 gives:
PMT1 = $5,555.00
Therefore, by percentage the answer will be $5555.
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How long does it take to travel 100km at a speed of 80 km/h?
find the value of w, need help quick pleaseeee
Answer:
w = 3
Step-by-step explanation:
we can solve with a proportion between the sides and the segments of the sides
9 ÷ 15 = w ÷ 5
w = 9 × 5 ÷ 15
w = 45 ÷ 15
w = 3
-------------------------
check9 ÷ 15 = 3 ÷ 5
0.6 = 0.6
same value the answer is good
What is the volume of a hemisphere with a diameter of 8 inches?
Answer:
Mind if ya brainiest meh
Step-by-step explanation:
The volume of the hemisphere is 1071.78 ft^3
how many square numbers are between 1,000 and 2,000
Please help, basic algebra. Find the value of x
Answer:
76 degrees
Step-by-step explanation:
The corresponding angles help you solve this.
The vertical angle of x (meaning the one practically in front of it) is 76 degrees, since x is vertical to 76, the degree will be the same.
4% of flowers of a certain species bloom early (before May 1st). You work for an arboretum and have a display of these flowers.
Round all probabilities to 4 decimal places.In a row of 40 flowers, what is the probability that exactly 11 will bloom early?In a row of 40 flowers, what is the probability that fewer than 12 will bloom early?As you walk down a row of these flowers, how many flowers do you expect to have to observe (on average) in order to see the first one that blooms early? Round your answer to two decimal places.In a row of 25 flowers, what is the probability that more than 13 will bloom early?In a row of 25 flowers, what is the probability that between 5 and 8 (inclusive) will bloom early?In a row of flowers, what is the probability that you will have to observe 5 flowers in order to see the first one that blooms early?In a row of flowers, what is the probability that you will observe more than 5 flowers before you see the first one that blooms early?
1. The probability of exactly 11 flowers blooming early is approximately 0.1638.
2. The probability of fewer than 12 flowers blooming early is approximately 0.8795.
3. You would need to observe 25 flowers to see the first one that blooms early.
What are the responses to other questions?Let's first define the probability of a flower blooming early as p = 0.04.
1. To find the probability of exactly 11 flowers blooming early in a row of 40, we can use the binomial distribution formula:
P(X = 11) = (40 choose 11) * 0.04^11 * (1-0.04)^(40-11)
P(X = 11) ≈ 0.1638
So the probability of exactly 11 flowers blooming early is approximately 0.1638.
2. To find the probability of fewer than 12 flowers blooming early in a row of 40, we can use the cumulative binomial distribution formula:
P(X < 12) = P(X = 0) + P(X = 1) + ... + P(X = 11)
P(X < 12) = ∑(i=0 to 11) (40 choose i) * 0.04^i * (1-0.04)^(40-i)
P(X < 12) ≈ 0.8795
So the probability of fewer than 12 flowers blooming early is approximately 0.8795.
3. To find the expected number of flowers you need to observe to see the first one that blooms early, we can use the geometric distribution formula:
E(X) = 1/p
E(X) ≈ 25
So on average, you would need to observe 25 flowers to see the first one that blooms early.
4. To find the probability of more than 13 flowers blooming early in a row of 25, we can use the cumulative binomial distribution formula:
P(X > 13) = P(X = 14) + P(X = 15) + ... + P(X = 25)
P(X > 13) = ∑(i=14 to 25) (25 choose i) * 0.04^i * (1-0.04)^(25-i)
P(X > 13) ≈ 0.0354
So the probability of more than 13 flowers blooming early is approximately 0.0354.
5. To find the probability of between 5 and 8 flowers (inclusive) blooming early in a row of 25, we can use the cumulative binomial distribution formula:
P(5 ≤ X ≤ 8) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)
P(5 ≤ X ≤ 8) = ∑(i=5 to 8) (25 choose i) * 0.04^i * (1-0.04)^(25-i)
P(5 ≤ X ≤ 8) ≈ 0.4363
So the probability of between 5 and 8 flowers (inclusive) blooming early is approximately 0.4363.
6. To find the probability of observing 5 flowers before seeing the first one that blooms early, we can use the geometric distribution formula:
P(X = 5) = (1-p)^(5-1) * p
P(X = 5) ≈ 0.0354
So the probability of observing 5 flowers before seeing the first one that blooms early is approximately 0.0354.
7. To find the probability of observing more than 5 flowers before seeing the first one that blooms early, we can use the complementary probability:
P(X > 5) = 1 - P(X ≤ 5)
P(X > 5) = 1 - [(1-p)^5]
P(X > 5) ≈ 0.1486
So the probability of observing more than 5 flowers before seeing the first one that blooms early is approximately 0.1486.
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what is the common ratio of the geometric series produced by the nth order maclaurin series for h of x equals 1 over quantity 1 minus x end quantity question mark
The common ratio of the geometric series produced by the nth-order Maclaurin series for h(x) = 1/(1-x) is x.
The Maclaurin series for h(x) = 1/(1-x) is an infinite geometric series with the general term given by:
h(x) = x⁰ + x¹ + x² + x³ + ...
The nth order Maclaurin series for h(x) = 1/(1-x) is the sum of the first n terms of this infinite series. The common ratio of a geometric series is the ratio of any term to the previous term.
In this case, each term is the previous term multiplied by x, so the common ratio is x.
It's important to note that the Maclaurin series is a type of Taylor series that is used to approximate a function and it's useful when the function is evaluated at zero, in this case, when x is zero, the function becomes 1/(1-0) = 1, the function is equal to 1 when x=0.
In conclusion, the common ratio of the geometric series produced by the nth-order Maclaurin series for h(x) = 1/(1-x) is x. It's the ratio of any term to the previous term, and it's the same for all the terms in the series.
The Maclaurin series is a type of Taylor series that is used to approximate a function and it's useful when the function is evaluated at zero.
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a basketball player makes 80% of her free throws. what is the standard deviation of the successes from 100 free throws?
Since 80 out of 100 free throws were successful, the standard deviation of the success rate would be 8, and the standard deviation of a binomial distribution is the square root of (p*q)/n, where p is the probability of success, q is the probability of failure (1-p), and n is the total number of trials.
Standard deviation is calculated as follows:
p*q/n = 0.8*0.2/100 = 0.0016 = 0.04 = 8
Since 80% of 100 equals 80 successful free throws, the standard deviation of the successes from 100 free throws would be 8. The dispersion in a set of data is measured by standard deviation. A binomial distribution's standard deviation is equal to the square root of (p*q)/n, where p is the success probability, q is the failure probability (1-p), and n is the number of trials. Since the success rate in this instance is 80%, p = 0.8, q = 0.2, and n = 100. The standard deviation is then equal to the square root of (p*q/n): (0.8*0.2/100) = (0.0016) = (0.04), which equals 8. Therefore, the standard deviation of the successes from 100 free throws for a basketball player who makes 80% of them would be 8.
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I need help asap please
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). Find the 49th term. 8, 14,20,. Hint its not 294
Answer: 296
Step-by-step explanation: explicit rule formula for an arithmetic sequence:
a_n = a_1 +(n-1)(d)
20-14= 6
d= 6
a_1 = 8
a_n = 8 + (n-1)(6)
= 8+6n-6
a_n= 6n+2
substitute to find answer:
a_49= 6(49) +2
= 294+2
=296
. Select all expressions that represent a correct solution to the equation 6( + 4) = 20.Show steps for solving 6( + 4) = 20 to help you choose.
a) (20 − 4) ÷ 6
b) (20 − 4)
c) 20 − 6 − 4
d) 20 ÷ 6 − 4
e) (20 − 24)
f) (20 − 24) ÷ 6
Answer:
i do think any of the answer is there correct
Step-by-step explanation:
Which of the following is equivalent to 4x+5y=12?
Answer: Slope=−
2.000
1.600
=−0.800
x−intercept=
4
12
=3
y−intercept=
5
12
=2.40000
Step-by-step explanation:
Michelle used a 20 bill to pay for a notebook that only costs p dollars.
How much change did Michelle receive from the cashier?
Write your answer as an expression.
Answer:
20-p
Step-by-step explanation:
this is ur expression for how much change she will get back
Answer:
20-p
Step-by-step explanation:
cause she has 20 dollars and buys p notebooks so her total 20 dollars and -p note books
The integers r, s and t all have the same remainder when divided by 5. What is the value of t?
(1) r + s = t
(2) 20 <= t <= 24
Let's analyze the given information and the statements provided.
We are told that the integers r, s, and t all have the same remainder when divided by 5. This means that these integers can be written in the form:
r = 5n + k
s = 5m + k
t = 5p + k
where n, m, and p are integers representing quotients and k is the common remainder.
Statement (1) r + s = t:
If r + s = t, we can substitute the expressions for r and s:
(5n + k) + (5m + k) = 5p + k
Combining like terms:
10n + 10m = 5p
Dividing both sides by 5:
2n + 2m = p
From this equation, we can see that p must be an even number. However, we cannot determine the exact value of t based on this equation alone. Statement (1) is not sufficient to answer the question.
Statement (2) 20 ≤ t ≤ 24:
This statement provides a range for the possible values of t. Since t has the same remainder when divided by 5 as r and s, it must be congruent to k modulo 5. From the given range, the only number that satisfies this condition is t = 20.
However, we need to consider the combined information from both statements to reach a conclusion.
By considering both statements, we find that the only value that satisfies both conditions is t = 20.
the value of t is 20.
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Please help me with those questions please thank
Answer:
3) -3, 1, 5, 9
6) 3.75, 5, 6.25, 7.5, 16.25
Step-by-step explanation:
er... no explanation for this, cuz its easy.. so yea :)
Liz flips a coin 60 times. The coin lands heads up 42 times and tails up 18 times. Complete eachstatement.The theoretical probability of the coin landing heads up is [%.
Given:
The number of times coin flipped is N = 60.
The number of heads is n(H) = 42.
The number of tails is n(T) = 18.
The objective is to find the theoretical probability of coin landing heads up.
Explanation:
The general probability of coin landing heads is,
\(P(H)=\frac{n(H)}{N}\text{ . . . . . .(1)}\)On plugging the given values in equation (1),
\(P(H)=\frac{42}{60}=0.7\)To obtain the percentage of probability,
\(\begin{gathered} P(H)=0.7\times100 \\ =70\text{ \%} \end{gathered}\)Hence, the probability of the coin landing heads up is 70%.
sketch the solid whose volume is given by the iterated integral. 1 0 1− x 0 3 − 3z dy dz dx 0
The solid is a rectangular prism with a triangular cut-out.
The volume of the solid is given by the iterated integral 1 0 1− x 0 3 − 3z dy dz dx 0. The integral is taken over a three-dimensional rectangular region with x-coordinates between 0 and 1-x, y-coordinates between 0 and 3, and z-coordinates between 0 and 3-3z.
This describes a rectangular prism with length 1-x, width 3 and height 3-3z. However, the triangular cut-out is defined by the equation of the plane z = y/3. It's a triangular region in the zy-plane, with a height of 3 and a base of 3x. This triangular cut-out is "slicing" the rectangular prism from the corner (x,0,0) to the corner (x,3,3x/3) in the xyz-plane.
The final shape is a rectangular prism with a triangular cut out from the corner, with a base on the xy-plane and the vertex on the z-axis. The height, width and length of the rectangular prism are 3, 3 and 1-x respectively.
This type of iterated integral is useful to calculate the volume of a solid with complex boundaries, it's also easy to visualize the shape of the solid by looking at the limits of integration.
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Mike is 12 years old and his father is 38 years. In how many years will the father be twice as old as Mike
Answer:
To answer this question, we need to set up an equation that represents the relationship between Mike's age and his father's age.
Currently, Mike is 12 years old and his father is 38 years old. We want to find out in how many years (let's call this "x") the father will be twice as old as Mike.
We can express this relationship as follows:
Father's future age = Mike's future age * 2
In terms of their current ages and the unknown number of years, x, this becomes:
(38 + x) = 2 * (12 + x)
This is a simple linear equation that we can solve for x.
First, distribute the 2 on the right side of the equation:
38 + x = 24 + 2x
Then, subtract x from both sides to get all x terms on one side:
38 = 24 + x
Finally, subtract 24 from both sides to solve for x:
x = 38 - 24
x = 14
So, in 14 years, Mike's father will be twice as old as Mike.
how do i solve this??
5x - 7 < 13
Answer:
5x-7 has to equal to something smaller than 13
5x-7=5
Answer: x < 4
Step-by-step explanation:
Disregarding the lesser than sign, we can treat this equation as 5x-7=13. This doesn't work all the time as there are rules, but those rules don't apply to a simple inequality such as this.
5x-7<13
5x<20
x<4
And so, our answer is x<4
write the ratio as a fraction in simplest form with whole numbers in the numerator and denominator
45 : 5
Answer:
9/1
Step-by-step explanation:
45/5 = 9
the 3 conditions for sampling distributions must be met in order to calculate p-hat. group of answer choices true false
The correct answer is False because, If the sample size is large enough (n greater than or equal to 30) the sampling distribution is approximately normal regardless of the shape of the population.
The sample fraction, often called the "p-hat", is the ratio of the number of sample successes to the size of the sample. The standard deviation of (p) decreases as the sample size n increases. This is because n is included in the denominator of the standard deviation formula. That is, (p has) has fewer variables for larger samples. The P-hat (must be a lowercase p with a caret (^) circumflex) indicates the percentage of the sample (this is the x-bar, the average of the samples).
A p-hat (proportion) sampling distribution is a collection of equal-sized repeated sample proportions drawn from the same population to represent it. According to the central limit theorem, the sampling distribution of p-hat is approximately normally distributed for large sample sizes.
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What is the range of f/x )= sin x the set of all real numbers?
On solving the provided question we can say that - The Range of the given function, f(x) = sin(x) , Range = \(-1 < y < 1\)
What is Range?Range: the discrepancy between the top and bottom numbers. To get the range, locate the greatest observed value of the variable and deduct the least observed value (the minimum). The data points between the two extremes of the distribution are not taken into consideration by the range; just these two values are considered. Between the lowest and greatest numbers, there is a range. Values at the extremes make up the range. The data set 4, 6, 10, 15, 18, for instance, has a range of 18-4 = 14, a maximum of 18, a minimum of 4, and a minimum of 4.
The Range of the given function, f(x) = sin(x)
\(-1 < y < 1\)
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Himari is solving the equation 4(−12)=16 4 x -12 = 16 . Her first step is 4−12=16 4 x - 12 = 16 .
Answer:
Step-by-step explanation:
4(−12)=16
4 x -12 = 16
Himari's solution is incorect.
it should be like shown below.
4 - (−12 ) = 16
4 + 12 = 16
16 = 16
so it equates balance.
. Six years from now, P 5M will be needed to pay for a building renovation. In order to generate this surn, a sinking fund consisting of three beginaineof-year deposits (A) starting today is establishod. No further payments will be made after the said annual deposits. If money is worth 8% per annum, the value of A is closest io a) P1,132,069 c) P 1,457,985 sunk b) 1,222,635 d) P1,666,667
The value of A is closest to P1,132,069.
To determine the value of A, we can use the concept of a sinking fund and present value calculations. A sinking fund is established by making regular deposits over a certain period of time to accumulate a specific amount of money in the future.
In this scenario, we need to accumulate P5M (P5,000,000) in six years. The deposits are made at the beginning of each year, and the interest rate is 8% per annum. We want to find the value of each deposit, denoted as A.To calculate the value of A, we can use the formula for the future value of an ordinary annuity:
FV=A×( r(1+r)^ n −1 )/r
where FV is the future value, A is the annual deposit, r is the interest rate, and n is the number of periods.
Substituting the given values and Solving this equation, we find that A is approximately P1,132,069.
Therefore, the value of A, closest to the given options, is P1,132,069 (option a).
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The diagram shows an open rectangular box ABCDEFGH.
A straight stick AGM rests against A and G and extends outside the box to M.
a. Calculate the angle between the stick and the base of the box.
b. AM= 30 cm.
Show that GM= 4.8 cm, correct
to 1 decimal place.
The angle between the stick and the base of the box is 77. 9 degrees
How to determine the angleTo determine the angle between the stick and the base, we have to know the trigonometric identities.
These identities are;
sinecosinecotangenttangentsecantcosecantFrom the information given, we have;
sin A = FB/AB
Given that;
GB = 14.5cm
AB = 18. 6cm
substitute for the length of the sides, we have;
sin A = 14.5/18. 6
Divide the values, we have;
sin A = 0. 7796
Find the inverse sine
A = 77. 9 degrees
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what is bigger 5.6% or square root of 27
square root of 27 is bigger.
What is percentage ?
In math, one percent is equal to a hundredth part; thus, 100 percent represents the entire amount and 200 percent specifies twice that amount
First calculating square root of 27 :
\(\sqrt{27}=5.196\)
and 5.6 % is 0.056
clearly \(\sqrt{27}\) is greater than 5.6%
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What type of number is 2
Choose all answers that apply:
A
Whole number
B
Integer
Rational
D
Irrational
Answers A and B describe number 2
Answer:
A and B
Step-by-step explanation:
2 is a whole number (is not a fraction or decimal) and an integer is a positive or negative whole number, and irrational numbers never end or repeat.
what time is it after 50 minutes have passed from 8:30
Answer:
9:20
Step-by-step explanation:
one hour is 9:30, -10 minutes is 9:20
Answer:
9:20 is the time 50 minutes after 8:30
Ordered Pairs REMEMBER! There is only 1 output(y) for each input(x). Is this a function or not? (8,-3) , (3,8) , (9,4) , (-2,2)
answer:
a function
step-by-step explanation:
hello there!
as you said, there is only able one output ( y ) for each input ( x ) for it able to become a function
here is a little example of a "table" to help me explain this a little better for you!
input ( x ) | output ( y)
8 | -3
3 | 8
9 | 4
-2 | 2
since none the inputs have more then one output then that means it is a function
hope this helps you and please let me know if i had made a mistake in the problem, have a wonderful day!! :D