Answer:
The correct option is a.
Step-by-step explanation:
It is given that Nell's mortgage is $50,150 at 10 percent for 30 years and she must pay $8.78 points per $1,000.
EMI on $1000 is $8.78, so EMI on $1 is
EMI on $1 = 8.78/1000 = 0.00878
EMI on $50150 is
EMI on $50150 = 0.00878 x 50150 = 440.317 = 440.32
Therefore the correct option is a.
Hope this help you! ^_^
2.77777777778 simplified
Answer:
Step-by-step explanation:
Answer is in the pic I promise nothing bad.
To choose the three players fairly, Coach Bennet decides to set up a free throw contest. The three players who make the most consecutive free throws will get to go to the summer basketball clinic.
Part A
Question
How many different orders of top-three finishers are possible?
The number of different orders of top-three finishers in the free throw contest depends on the total number of participants. The specific number of participants is not provided in the given information.
To determine the number of different orders of top-three finishers, we need to know the total number of participants in the free throw contest. The order of finishers can be calculated using the concept of permutations, where the order matters.
If there are "n" participants, the number of different orders of top-three finishers can be calculated using the formula nP3, which represents the number of permutations of "n" objects taken 3 at a time. However, since the total number of participants is not provided in the given information, we cannot determine the exact number of different orders of top-three finishers.
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which graph represents a function
Answer:
the first one is an ellipse.is ellipse a function Gods plan I think the second one is a function.
what is the product of (5.1x10^3)x(3.2x10^3)
Answer:
Step-by-step explanation:
0 is the answer
fernando competed in an 80 mile bike race. after 0.5 hour, he had ridden 9 miles. after 1 hour of riding, fernando had biked 18 miles. assuming he was traveling at a constant speed, how far will fernando have traveled after 3.5 hours?
Fernando will have traveled 63 miles after 3.5 hours.
To find the distance Fernando will have traveled after 3.5 hours, we can determine his average speed and then calculate the total distance covered.
We are given that after 0.5 hours, Fernando had ridden 9 miles, and after 1 hour, he had ridden 18 miles. By comparing these two data points, we can see that Fernando is traveling at a constant speed of 18 miles per hour.
To calculate the distance traveled after 3.5 hours, we can multiply the speed (18 miles per hour) by the time (3.5 hours):Distance = Speed × Time = 18 miles/hour × 3.5 hours = 63 miles.
Therefore, Fernando will have traveled 63 miles after 3.5 hours.
It is important to note that this calculation assumes a constant speed throughout the entire race. If the speed varied during the race, the result may be different. However, based on the given information of constant speed, we can conclude that Fernando will have traveled 63 miles after 3.5 hours.
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the number of buses arriving at a bus stop in any interval of minutes is a poisson random variable on average, a bus arrives every minutes. (a) for an interval of minutes, (b) what is the probability of buses arriving in a -minute interval? (c) what is the probability of no buses arriving in a -minute interval? (d) how much wait time is necessary to guarantee at least one bus with % probability?
(a) The mean number of buses arriving in any interval of minutes is λ = 1.
(b) The probability of buses arriving in a t-minute interval is P(X > 0) = 1 - P(X = 0), where X is a Poisson random variable with parameter λt.
P(X = 0) = \(e^{(-λt)}\) = \(e^{(-t)}\)Therefore, P(X > 0) = 1 - \(e^{(-t)}\).(c) The probability of no buses arriving in a t-minute interval is P(X = 0) = \(e^{(-λt)}\) = \(e^{(-t)}\).
(d) The probability of at least one bus arriving in a t-minute interval is
P(X ≥ 1) = 1 - P(X = 0) = 1 - \(e^{(-t)}\).
To guarantee at least one bus with a certain percentage of probability, we need to solve the inequality:
1 - \(e^{(-t)}\) ≥ pwhere p is the desired probability. Solving for t, we get:
t ≥ -ln(1-p)Therefore, the minimum wait time necessary to guarantee at least one bus with a probability of p is -ln(1-p) minutes.
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14. Samples of size n = 9 are selected from a population with μ = 80 with σ = 18. What is the standard error for the distribution of sample means?a. 80b. 6c. 18d. 2
The standard error for the distribution of sample means is 6.
To find the standard error for the distribution of sample means, we use the formula:
SE = σ / √n
Where SE is the standard error, σ is the standard deviation of the population, and n is the sample size.
In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values.
A low standard deviation indicates that the values tend to be close to the mean (also called the expected value) of the set, while a high standard deviation indicates that the values are spread
Plugging in the given values, we get:
SE = 18 / √9
SE = 18 / 3
SE = 6
So, the correct answer is option b. 6.
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What is the slope and y-intercept of 8x – 2y = -16?
Answer:
4x+8=y
Step-by-step explanation: This is because you take everything and isolate the y you take the 8x and subtract it from the other side then after that you divide everything by -2 to get your answer
For his phone service, Reuben pays a monthly fee of $17, and he pays an additional $0.07 per minute of use. The least he has been charged in a month is $88.05.
What are the possible numbers of minutes he has used his phone in a month?
Use m for the number of minutes, and solve your inequality for m.
Answer:$68.40
Step-by-step explanation:
Pls Help 100 points. JK, KL, and LJ are all tangent to circle O. JA = 14, AL= 12, and CK= 8. What is the perimeter of triangle JKL?
The perimeter of triangle JKL is determined as 68 units.
What is the perimeter of triangle JKL?The perimeter of triangle JKL is calculated as follows;
The perimeter of triangle JKL is the sum of all the distance round the triangle.
Perimeter = length JK + length LK + length JL
AL = CL = 12
Length LK = CL + CK = 12 + 8 = 20
JA = JB = 14
KB = CK = 8
Length JK = JB = KB = 14 + 8 = 22
Length JL = JA + AL = 14 + 12 = 26
The perimeter of triangle JKL is calculated as;
Perimeter = 20 + 22 + 26
Perimeter = 68 units.
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A researcher collects data on the outcomes when a fair 6-sided die is rolled. unfortunately, she has forgotten her die at home and needs to submit her results to her teacher. which statistical design would be best utilized to approximate the results of rolling a 6-sided die?
She could make her approximation in the multiples of 1/6.
Whats is Statistic and probability ?Probability is the chance of happening a certain event of all the possible events that can occur.
Statistics is a branch of mathematics where organising and interpretation of data analysing is needed.
A fair 6 sided dice has 6 sides having numbers from 1 to 6 and for a fair dice each side has a probability of 1/6. So she could make her approximation in the multiples of 1/6 for example 6/36 and the numerator she can vary by ±10 % for approximation.
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What is the sign of 4.3•(-3.2)•0?
Answer:
no sign (not positive or negative)
Step-by-step explanation:
The value of the expression
4.3 ⋅ (-3.2) ⋅ 0
is 0, as the value of any number multiplied by zero is 0.
The number zero is neither positive or negative; hence there is no sign.
please help asap will give brainliest
1. The angles measures are larger than the original angle measures is a false statement.
2. If two sides parallel in the original figure, then those sides are parallel in the final figure is true statement.
3. The final angle measure are the same as the original angle measure is false statement.
4. The original figure and the final figure may not be congruent is true statement.
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A new bank customer with $3,000 Wants to open a money market account.The bank is offering a simple interest rate of 1.1%.What will be the account balance after 20 years
Step-by-step explanation:
here's ..............the answers
Suppose is analytic in some region containing B(0:1) and (2) = 1 where x1 = 1. Find a formula for 1. (Hint: First consider the case where f has no zeros in B(0; 1).) Exercise 7. Suppose is analytic in a region containing B(0; 1) and) = 1 when 121 = 1. Suppose that has a zero at z = (1 + 1) and a double zero at z = 1 Can (0) = ?
h(z) = g(z) for all z in the unit disk. In particular, h(0) = g(0) = -1, so 1(0) cannot be 1.By using the identity theorem for analytic functions,
We know that if two analytic functions agree on a set that has a limit point in their domain, then they are identical.
Let g(z) = i/(z) - 1. Since i/(z)1 = 1 when |z| = 1, we can conclude that g(z) has a simple pole at z = 0 and no other poles inside the unit circle.
Suppose h(z) is analytic in the unit disk and agrees with g(z) at the zeros of i(z). Since i(z) has a zero of order 2 at z = 1, h(z) must have a pole of order 2 at z = 1. Also, i(z) has a zero of order 1 at z = i(1+i), so h(z) must have a simple zero at z = i(1+i).
Now we can apply the identity theorem for analytic functions. Since h(z) and g(z) agree on the set of zeros of i(z), which has a limit point in the unit disk, we can conclude that h(z) = g(z) for all z in the unit disk. In particular, h(0) = g(0) = -1, so 1(0) cannot be 1.
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The following X and Y scores produce a regression equation of Y = 4x - 3. What is the value of SSerror?x y1 22 33 10a. 3b. 6c. 15d. 107
Therefore, the best value for the SS error is 15. This is not an exact calculation, but it is the most reasonable estimate given the information provided. The correct option is c.
To calculate SS error, we first need to find the predicted values of Y using the regression equation.
Y = 4x - 3
For x = 1, Y = 4(1) - 3 = 1
For x = 2, Y = 4(2) - 3 = 5
For x = 3, Y = 4(3) - 3 = 9
For x = 10, Y = 4(10) - 3 = 37
Now we can calculate the sum of squared errors (SSE) as follows:
SSE = (y1 - ŷ1)^2 + (y2 - ŷ2)^2 + (y3 - ŷ3)^2 + (y4 - ŷ4)^2
SSE = (2 - 1)^2 + (3 - 5)^2 + (10 - 9)^2 + (a - 37)^2
We don't know the value of "a," so we can't calculate SSE exactly. However, we can still choose the answer choice that makes the most sense.
Option A (3) seems unlikely since the SSE for just one data point (2) is already greater than 3.
Option B (6) also seems unlikely since the SSE for three data points is likely to be greater than 6.
Option D (107) seems too large and unlikely given the small range of the data.
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a rectangle has width that is 2 feet less than the length the arrea of the rectangle is 80 square feet find the dimensions of the rectangle
The dimensions of the rectangle are 10 feet (length) and 8 feet (width).
To find the dimensions of the rectangle with an area of 80 square feet and a width that is 2 feet less than the length,
follow these steps:
1. Let the length of the rectangle be L feet and the width be W feet.
2. According to the given information, W = L - 2.
3. The area of a rectangle is calculated by multiplying its length and width: Area = L × W.
4. Substitute the given area and the relationship between L and W into the equation: 80 = L × (L - 2).
5. Solve the quadratic equation: 80 = L² - 2L.
6. Rearrange the equation: L² - 2L - 80 = 0.
7. Factor the equation: (L - 10)(L + 8) = 0.
8. Solve for L: L = 10 or L = -8 (since the length cannot be negative, L = 10).
9. Substitute L back into the equation for W: W = 10 - 2 = 8.
So, the dimensions of the rectangle are 10 feet (length) and 8 feet (width).
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could someone help me with this?? thanks!
Angie is playing a math game to help her write equations.
The question on the card reads: “One fourth the sum of x and ten is identical to x minus 4.”
Help Angie create the correct equation.
Answer:
Step-by-step explanation:
1/4 ( x+10) = x -4
one fourth the sum of x and 10 is identical to x minus 4
(ASAP!) In the diagram the smaller triangle is an image of the larger triangle. a) Name the angle in the image that corresponds to in the preimage. b) List all pairs of corresponding sides.
1. ∠B is the primage of ∠B'. They are similar triangles.
2. AC ≈AC'
CB ≈ CB'
AB ≈ AB'
what is meant by the preimage when discussing angles?When discussing angles, the preimage refers to the original angle before any transformation has occurred.
In geometry, a transformation refers to the process of moving or changing the position, shape, or size of an object. For example, if an angle is rotated or reflected, the resulting image of the angle would be the transformed angle.
The preimage is the angle before the transformation occurred. It is used to determine the relationship between the original angle and the transformed angle, such as whether they are congruent, similar, or related by another geometric property.
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What is the equation of the line that passes through the point (6,1) and has a slope of -1/2
Answer:
y = - \(\frac{1}{2}\) x + 4
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - \(\frac{1}{2}\) , then
y = - \(\frac{1}{2}\) x + c ← is the partial equation
to find c substitute (6, 1 ) into the partial equation
1 = - \(\frac{1}{2}\) (6) + c = - 3 + c ( add 3 to both sides )
4 = c
y = - \(\frac{1}{2}\) x + 4 ← equation of line
Arthur is interested in the effects of sleep deprivation usage on number of calories consumed. He asks a group of 20 college students to spend the night in the sleep lab under one of these conditions: no sleep, 2 hours of sleep, 4 hours of sleep, 6 hours of sleep, or 8 hours of sleep. Arthur measures how many calories are consumed by the students in the sleep lab, which is stocked with various food items. After collecting these data, Arthur performs an ANOVA and finds that he can reject the null hypothesis. On the basis of this, what does Arthur know
Answer:
Arthur knows that there is a difference among the groups somewhere, but he does not know where
Step-by-step explanation:
An ANOVA test is a test to find out whether the results of an experiment or a survey are significant or not. ANOVA test helps the researcher or the experimenter to decide whether they reject the null hypothesis or accept the alternate hypothesis in the experiment. In ANOVA test, the experimenter wants to find if there is a difference between them or not.
In the context, Arthur is doing a study and he wishes to find out effect of a sleep deprivation on the number of the calories that people consumed. He collects some data from his subject group from the sleep lab and after running the ANOVA test, he finds out that he can reject the null hypothesis. So on this basis, Arthur knows that there is some basic difference among the members of the group somewhere, but he does not know where actually the difference is.
2x+3x+1=21
Solve and show work
Answer:
x=4
Step-by-step explanation:
2x+3x+1=21
(2x+3x)+(1)=21
5x+1=21
5x+1=21
Step 2: Subtract 1 from both sides.
5x+1−1=21−1
5x=20
Step 3: Divide both sides by 5.
Answer:
x=4
Step-by-step explanation:
2x+3x+1=21
Simplify both sides of the equation.
2x+3x+1=21
(2x+3x)+(1)=21(Combine Like Terms)
5x+1=21
5x+1=21
Subtract 1 from both sides.
5x+1−1=21−1
5x=20
Divide both sides by 5.
5x /5 = 20 /5
x=4
x = 4
Graph the linear equation
Answer:
Step-by-step explanation:
A linear equation has only more than one additional, that may be expressed as , and the further discussion can be defined as follows:
In this, No factor has been raised the power which is greater than one or utilized as the denominator of a fraction.
When we discover pairs of values that satisfy a linear model and plot them on a coordinate grid, all the points fall on the same line.
Please find the attached file of the graph.
In a fraction with a denominator of 15, which value could the numerator be to produce a repeating decimal?
A. 15
B. 9
C. 11
D. 12
Answer:
11
Step-by-step explanation:
Step 1:
\(\frac{11}{15}\) = 0.7333333333333
2p+3q=-7
3p+5q=-12
What is the solution in an ordered pair?
Answer:
(p, q ) = (1, - 3 )
Step-by-step explanation:
2p + 3q = - 7 → (1)
3p + 5q = - 12 → (2)
Multiplying (1) by 3 and (2) by - 2 and adding the result will eliminate p
6p + 9q = - 21 → (3)
- 6p - 10q = 24 → (4)
Add (3) and (4) term by term to eliminate p
0 - q = 3
-q = 3 ( multiply both sides by - 1 )
q = - 3
Substitute q = - 3 into either of the 2 equations and solve for p
Substituting into (1)
2p + 3(- 3) = - 7
2p - 9 = - 7 ( add 9 to both sides )
2p = 2 ( divide both sides by 2 )
p = 1
The Great Western Trail is 355 miles longer than 4 times the length of the Iditarod Trail. The Iditarod Trail is 1,025 miles long. How long is the Great Western Trail?
Answer:
The Great Western Trail = 4,455 miles
Step-by-step explanation:
The Iditarod Trail = 1,025 miles long
The Great Western Trail is 355 miles longer than 4 times the length of the Iditarod Trail.
The Great Western Trail = (4 × 1,025) miles + 355 miles
= 4,100 miles + 355 miles
= 4,455 miles
The Great Western Trail = 4,455 miles
What is the y-intercept of the line that passes through the points(2, -1) and (-3,9)
Answer:
Step-by-step explanation:
Which of these expressions is equivalent to:
3x^3 y^5 + 3x^5 y^ 3 − (4x^5 y^3 − 3x^3 y^5)
The equivalent expression is: \(-x^5 y^3 + 6x^3 y^5\).
Let's simplify the given expression step by step using the given terms:
Expression:
\(3x^3 y^5 + 3x^5 y^3 - (4x^5 y^3 − 3x^3 y^5)\)
Distribute the negative sign outside the parentheses to the terms inside:
\(3x^3 y^5 + 3x^5 y^3 - 4x^5 y^3 + 3x^3 y^5\)
Combine like terms, which are terms that have the same variables raised to the same power:
\((3x^3 y^5 + 3x^3 y^5) + (3x^5 y^3 - 4x^5 y^3)\)
Add or subtract the coefficients of the like terms:
\(6x^3 y^5 - x^5 y^3\)
So, the simplified expression is:
\(6x^3 y^5 - x^5 y^3\)
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PLZ HELP IM STUCK
(c-d)/5 - 2 = 0
c-6d=0
Given the equations, what is the value of c/d?
PLZ HELP WILL MARK BRAINLIEST
Answer:
On the first equation, which is (c-d)/5 - 2 = 0 Let's start by solving c.
First, you need to add 1/5d to both sides:
1/5 c + -1/5 d - 2 + 1/5 d = 0 + 1/5 d
1/5 c - 2 = 1/5 d
Next, add 2 to both sides:
1/5 c - 2 + 2 = 1/5 d + 2
1/5 c = 1/5 d + 2
Now, divide both sides by 1/5:
1/5 c/ 1/5 = 1/5 d + 2/ 1/5
c = d + 10
so, therefore, your answer is c = d + 10
____________________________________________________________
Now we are going to do the 2nd equation, which is c-6d=0 Lets solve c.
The only thing you need to do is you need to add 6d to both sides:
c − 6d + 6d = 0 + 6d
c = 6d
So, therefore, your answer is c = 6d
You deposit $3500 in a savings account that has a rate of 6% compounded semiannually. How much is in the account after 3 years?
Answer:
$4,179
Step-by-step explanation:
According to the scenario, calculation of the given data are as follows,
Total deposit (P)= $3,500
rate of interest = 6%
Rate of interest (semiannual) (r) = 3%
Time = 3 years
Time period (t) (semiannual) = 6
So, we can calculate the total amount after 3 years by using following formula,
FV = P \((1+r)^{t}\)
By putting the value, we get
FV = $3,500 ( 1 + 0.03)^6
FV = $3,500 ( 1.03)^6
= $3,500 × 1.194
= $4,179