Answer: y=-2x+2
Step-by-step explanation:
Michelle is rolling two six-sided dice, numbered one through six. What is the probability that the sum of her rolls is 5?
Answer:
13.8888888889% or 0.1388888888889
Step-by-step explanation:
Place these 5 possible results of 6 over the total number of possible outcomes for rolling 2 fair 6-sided dice to obtain 5/(6×6) or 5/36 equal to 0.1388888888889 or 13.8888888889% Probability
:) :) :) :) :) :) :)
RJ has two loans. Loan H has a nominal rate of 5.68%, compounded daily. Loan I has a nominal rate of 6.33%, compounded monthly. Which loan's effective rate had the greater increase, relative to its nominal rate, and how much greater is its increase than that of the other loan?
a.
Loan I’s increase was 0.03 percentage points greater than Loan H’s.
b.
Loan I’s increase was 0.68 percentage points greater than Loan H’s.
c.
Loan H’s increase was 0.16 percentage points greater than Loan I’s.
d.
Loan H’s increase was 0.49 percentage points greater than Loan I’s.
Answer:
The correct answer for this question is:
The loan's effective rate that had the greater increase, relative to its nominal rate, and how much greater is its increase than that of the other loan is that 'loan H’s increase was 0.16 percentage points greater than Loan I’s.
Step-by-step explanation:
Answer:
A: Loan I’s increase was 0.03 percentage points greater than Loan H’s.
Hell please please please
The average commute to work (one way is 25 minutes according to the 2005 American Community Survey. If we assume that commuting times are normally distributed and that the standard deviation is 6.1 minutes, calculate the probability that a randomly selected commuter spends for the following cases. Round the final answers to four decimal places and intermediate z-value calculations to two decimal places. More than 31 minutes commuting one way P(X > 31) = Less than 8 minutes commuting one way P(X < 8)
The probabilities for this problem are given as follows:
P(X > 31) = 0.1635 = 16.35%.P(X < 8) = 0.0026 = 0.26%.How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation of the commute times are given as follows:
\(\mu = 25, \sigma = 6.1\)
The probability that the time is more than 31 minutes is one subtracted by the p-value of Z when X = 31, hence:
\(Z = \frac{X - \mu}{\sigma}\)
Z = (31 - 25)/6.1
Z = 0.98
Z = 0.98 has a p-value of 0.8365.
1 - 0.8365 = 0.1635 = 16.35%.
The probability that the time is less than 8 minutes is the p-value of Z when X = 8, hence:
Z = (8 - 25)/6.1
Z = -2.79
Z = -2.79 has a p-value of 0.0026.
More can be learned about the normal distribution at https://brainly.com/question/25800303
#SPJ1
x = -9 and y = 2 plz help me plz
Answer: 9 and -2
Step-by-step explanation: because of the way it's writen.
A transformation that does not change the size or shape of a geometric object is known as which of the following?
A an identity transform
B a complete mapping
C a congruent movement
D a rigid motion
Answer:
c
Step-by-step explanation:
The transformation that does not change the size or shape of a geometric object is known as an identity transform option (A) an identity transform is correct.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have a statement:
A transformation that does not change the size or shape of a geometric object is known as:
The transformation is known as an identity transformation because in the identity transformation the shape and size of the object remain the same or unchanged.
Thus, the transformation that does not change the size or shape of a geometric object is known as an identity transform option (A) an identity transform is correct.
Learn more about the geometric transformation here:
brainly.com/question/16156895
#SPJ2
what is 13 -90
then 50/90=
then + together both answers and then multiply by 26 and what is the answer =
Answer: if there is an option for -1,989 then it would be that one
Step-by-step explanation:
13 - 90 would give you -77 and then 50/90 is would give you 0.5555555. -77 + 0.5 would be -76.5 which then you multiply by 26 gives you -1,989.
Prove that the function
Answer:
See proof below
Step-by-step explanation:
Important points
understanding what it means to be "onto"the nature of a quadratic functionfinding a value that isn't in the rangeOnto
For a function with a given co-domain to be "onto," every element of the co-domain must be an element of the range.
However, the co-domain here is suggested to be \(\mathbb R\), whereas the range of f is not \(\mathbb R\) (proof below).
Proof (contradiction)
Suppose that f is onto \(\mathbb R\).
Consider the output 7 (a specific element of \(\mathbb R\)).
Since f is onto \(\mathbb R\), there must exist some input from the domain \(\mathbb R\), "p", such that f(p) = 7.
Substitute and solve to find values for "p".
\(f(x)=-3x^2+4\\f(p)=-3(p)^2+4\\7=-3p^2+4\\3=-3p^2\\-1=p^2\)
Next, apply the square root property:
\(\pm \sqrt{-1} =\sqrt{p^2}\)
By definition, \(\sqrt{-1} =i\), so
\(i=p \text{ or } -i =p\)
By the Fundamental Theorem of Algebra, any polynomial of degree n with complex coefficients, has exactly n complex roots. Since the degree of f is 2, there are exactly 2 roots, and we've found them both, so we've found all of them.
However, neither \(i\) nor \(-i\) are in \(\mathbb R\), so there are zero values of p in \(\mathbb R\) for which f(p)= 7, which is a contradiction.
Therefore, the contradiction supposition must be false, proving that f is not onto \(\mathbb R\)
if a coin is flipped 35 times and lands on heads 21 times what is the relative frequency of Landing on heads
Work Shown:
21/35 = (7*3)/(7*5) = 3/5
What is the area of this?
I need step by step
Answer:
Driveway Area = 218 square feetGarden Area = 230 square feetTotal Area = 448 square feetSee diagram below.
====================================================
Explanation:
Start at the lower left corner of the entire figure. Move 20 ft directly to the right until reach the end of the driveway at the bottom. Now move 10 ft up so you reach the other side of the driveway (the 26 ft side). In the process of moving 10 ft up, mark a new line segment. I've done so in red in the diagram below.
I've also drawn a green box. The red line and green box form a shape of a flag on a flagpole. The pole being 10 ft tall and the green box (flag) is a 6 by 3 rectangle. The 6 is from 26-20 = 6 and the 3 is from 10-7 = 3. Note how I'm subtracting the opposite side values to help figure out the dimensions of this green box.
The 10 ft by 20 ft portion of the driveway is 10*20 = 200 square feet. The green box adds on another 18 sq ft because 6*3 = 18. In all, we have 200+18 = 218 square feet for the driveway.
-------------------
If you want to know the area of the garden, then we first compute the overall area of everything shown. That's 32*14 = 448 square feet. Subtract off the driveway's area to get 448-218 = 230. Therefore, the garden's area is 230 square feet.
What's the answer?????
Answer:
0
Step-by-step explanation:
basically plug a and b back into the equation so (0)÷(48) will equal 0 which is equal to C because 0 out of any number is always equal 0 because you're not taking taking any value out of it
Answer:
Step-by-step explanation:
zero is always a nasty piece of work. You need to be careful how you handle it. What do you get when you divide 0 by 48?
Answer, you don't get anything because no matter if b is 1 or 48, you get 0 as the result.
Answer: B
Find the value of x for which m||n
Answer:
x = 61
Step-by-step explanation:
Alternate exterior angles must be congruent for the lines to be parallel.
3x - 43 = 2x + 18
x = 61
279+454546+21+968= solve answer
Answer:
455,814
Step-by-step explanation:
here you go have a good one
Answer: 279+454546+21+968= 455814
Step-by-step explanation:
add 279+21=300
Then add 968 to 300 witch 968+300= 1268
Lastly add 1268+454546=455814
Hey what is 0.18 x 0.02
Answer:
0.0036
Step-by-step explanation:
Answer: 0.0036
Step by step explin
food concession owner in a mall sold 120 beef, vegetable and pork sliders in 7 days. 20% of the sliders sold were beef and 15% were vegetable. How many pork sliders were sold?
The number of pork sliders sold is given as follows:
24 pork sliders.
How to obtain the number of pork sliders sold?The number of pork sliders sold is obtained applying the proportions in the context of the problem.
The total number of pork sliders is given as follows:
120 pork sliders.
The percentage of pork sliders sold is given as follows:
20%. (proportion of 0.2).
Hence the amount sold is given as follows:
0.2 x 120 = 24 pork sliders.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
Linda computed the average of her six biology test scores by mistakenly adding the totals of five scores and dividing by five, giving her an average score of 88. When Linda realized her error, she recalculated and included the sixth test score of 82. What is the average of Linda's six biology tests? O82 85 O86 O87 O 88 G
The average of Linda's six biology tests is 87.
Average:
Average is the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.
Given,
Linda computed the average of her six biology test scores by mistakenly adding the totals of five scores and dividing by five, giving her an average score of 88. When Linda realized her error, she recalculated and included the sixth test score of 82.
Here we need to find the average of 6 six biology subjects.
In the given question, we know that,
Average of 5 biology subjects = 88
So, the total mark in those five subject is calculated as,
=> 88 x 5 = 440
So, the new total including the sixth subject is,
=> 440 + 82
=> 522
Therefore, the average of 6 subjects is calculated as,
=> 522/6
=> 87
So, the average of 6 subjects is 87.
To know more about Average here.
https://brainly.com/question/16956746
#SPJ1
A 50 foot rope is stretched tight from the roof of a building to a spot 20 feet from the base of the
building. How tall is the building? Round your answer to TWO decimal places.
47.17 feet is the height of the building.
We can use the Pythagorean theorem to solve the problem:
Let h be the height of the building.
Then we have a right triangle with legs 20 and h, and a hypotenuse 50.
Using the Pythagorean theorem, we have:
\(50^2 = 20^2 + h^2\)
Simplifying and solving for h, we get:
\(h = \sqrt{(50^2 - 20^2)\)
h ≈ 47.17 feet (rounded to two decimal places)
Therefore, the height of the building is approximately 47.17 feet.
Learn more about right-angle triangles here:
https://brainly.com/question/3770177
#SPJ1
Find the equation of a parabola with a focus at (3,1) and a directrix at y = 3.
Question 5 options:
A)
y = 1∕4(x – 3)2 + 2
B)
y = –1∕4 (x – 3)2 + 3
C)
y = –1∕4 (x – 3)2 + 2
D)
y = 1∕4(x – 3)2 + 3
Answer:
c ) y = –1∕4 (x – 3)2 + 2
Step-by-step explanation:
Answer:
directrix is; y= {-5}
Step-by-step explanation:
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
Find an order pair (x, y) that is a solution to the equation
-x+6y=3
Assuming an average driving speed of 88 km/hr, how long will it take to drive from Toronto to buffalo (distance between Toronto and buffalo is 154km)
The distance it will take to drive from Toronto to buffalo (distance between Toronto and buffalo is 154km) is 1.75 hours.
We are given that;
distance = 154 km speed = 88 km/hr
Now,
we need to use the formula:
time = distance / speed
where time is in hours, distance is in kilometers, and speed is in kilometers per hour.
Plugging these values into the formula, we get:
time = 154 / 88 time ≈ 1.75
Therefore, by speed the answer will be 1.75 hours.
Learn more about speed here;
https://brainly.com/question/7359669
#SPJ1
2x² + 5x, what will it a Perfect Square? make
Answer:
2x² + 5x + c = 0
For this quadratic equation to have one double root, the discriminant must equal 0.
5² - 4(2)(c) = 0
25 - 8c = 0
c = 25/8
2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.
Explanation:2x² + 5x is not a perfect square.
A perfect square is an expression that can be factored into the square of a binomial. To determine if an expression is a perfect square, we can look at the coefficient of x². In this case, the coefficient is 2, which is not a perfect square.Learn more about Perfect Square here:https://brainly.com/question/34063927
#SPJ11
The ages of 6 girls at a summer camp are as follows :- 9yrs , 10yrs , 15yrs, 13yrs , 12 yrs and 10 yrs . Find the arithmetic mean for their ages
Answer:
81
Step-by-step explanation:
if you add all the ages its 81
Answer:
11.5
Step-by-step explanation:
arthematic mean=(sum of all terms/number of terms)
(9+10+15+13+12+10)/
=11.5
the radius of a clock is 8 3/4 in what is its area to the nearest whole number
Answer:
241 units² (nearest whole number)
Step-by-step explanation:
**Assuming the clock is a circular shape**
Area of a circle = \(\pi r^2\)
Given:
radius = 8 3/4 in = 8.75 in⇒ area = \(\pi\) × 8.75²
= 240.5281875...
= 241 units² (nearest whole number)
Answer:241
Step-by-step explanation:
What is 5.9% of 1105 ?
Answer:
using calculator its 65.195
What is the midpoint of the line segment graphed below?
The midpoint of the line joining the endpoints (-1, 5) and (-8, -4) will be (-4.5, 0.5).
Given that:
Endpoints, (-1, 5) and (-8, -4)
The coordinate of the mid-point of the line segment is given as,
(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]
The midpoint is calculated as,
(x, y) = [(-1 - 8) / 2, (5 - 4) / 2]
(x, y) = (-9 / 2, 1 / 2)
(x, y) = (-4.5, 0.5)
More about the mid-point of the line segment link is given below.
https://brainly.com/question/17188072
#SPJ1
Find the solution of the system for which
Answer:
3,0,-6,0
Step-by-step explanation:
x1=3 because 3+0+0=3
since x2 and s2=0.
-4y=6 how would I graph it
go to desmos. com then press graphing calculator then type it all in!
when somebody says why you like me what should i say
Answer:
Not even related to math. But say no.... Unless you really like them then say yes
Step-by-step explanation:
Solve the inequality.
3(x + 9) - 2(x + 2) > 15
Answer:
x>-8
Step-by-step explanation: