Answer:
false
Step-by-step explanation:
A, B, and C are collinear points:
C is between A and B.
If AC = 2x + 1, CB = 3x - 1, and AB = 35, findX.
Answer:
X = 7
Step-by-step explanation:
Find the P-value for the hypothesis test with a standardized test statistic z. Decide whether toreject the null hypothesis for the level of significance α.a. Left-tailed test, z = -1.32, α = 0.10b. Right-tailed test, z = 2.46, α = 0.01c. Two-tailed test, z = -1.68, α = 0.05
Answer:
1.) We don't reject the null
2.) We reject the Null
3.) We do not reject the null
Step-by-step explanation:
Obtaining p values using test statistic:
Given that ; we have a standardized test statistic and α - values ;
Let's define the decision region :
If Pvalue < α ; Reject H0 ; otherwise, fail to reject H0
A.)
Left tail , Z = - 1.32 ; α = 0.10
We can use the Pvalue calculator from Z score :
Pvalue = 0.934
Pvalue > α ; Hence, we fail to reject the null, H0
B.)
Right-tailed test, z = 2.46, α = 0.01
Pvalue from Zscore calculator ;
Pvalue = 0.0069
Pvalue < α ; Hence, we reject the null, H0
C.)
Two-tailed test, z = -1.68, α = 0.05
Pvalue from Zscore calculator ;
Pvalue = 0.093
Pvalue > α ; Hence, we fail to reject the null, H0
whats the area of a rectangle
:)
Answer:
Baguette. :)
Step-by-step explanation:
Answer:
I don't know you lollollollll
The distance between two points is 10 units, if the coordinates of one of the endpoints are (4, -7), find x if the coordinates of the other endpoint are (x, 1).
Answer:
10
Step-by-step explanation:
let the distance = d
d² = (x2-x1)² + (y2-y1)²
=>
10²= (x-4)²+(1+7)²
100 = (x-4)²+64
(x-4)²=100-64
= 36
x-4 = √36
x-4=6
x= 6+4
x= 10
Assume that you purchased a new car today and financed $55,000 of the price on a 72-month payment contract with a nominal rate of 6.00%. Further, assume that you plan on paying off the balance of the car loan after you make your 48th payment. How much will your loan balance be when you pay off the car?
Answer:
The amount that your loan balance will be when you pay off the car is $20,566.18.
Step-by-step explanation:
Step 1. Calculation of monthly payment
This can be calculated using the formula for calculating the present value of an ordinary annuity as follows:
PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)
Where;
PV = Present value or the cost of the new car = $55,000
P = Monthly payment = ?
r = Monthly nominal rate = Nominal rate / 12 = 6% / 12 = 0.06 / 12 = 0.005
n = number of months = 72
Substitute the values into equation (1) and solve for P, we have:
$55,000 = P * ((1 - (1 / (1 + 0.005))^72) / 0.005)
$55,000 = P * 60.3395139355201
P = $55,000 / 60.3395139355201 = $911.51
Step 2. Calculation of the loan amount balance when you pay off the car
This can be calculated using the ballon payment formula as follows:
P = (PV - (Ballon / (1 + r)^n)) * (r / (1 – (1 + r)^-n)) ...................... (1)
Where:
P = Monthly payment = $911.51
PV = Present value or the cost of the new car = $55,000
Ballon = Ballon payment or the loan amount balance when you pay off the car = ?
r = Monthly nominal rate = Nominal rate / 12 = 6% / 12 = 0.06 / 12 = 0.005
n = number months to pay off the loan amount balance = 48
Substituting the values into equation (1) and solve for Ballon, we have:
911.51 = (55,000 - (Ballon / (1 + 0.005)^48)) * (0.005 / (1 - (1 + 0.005)^-48))
911.51 = (55,000 - (Ballon / 1.27048916109538)) * 0.0234850290479363
911.51 / 0.0234850290479363 = 55,000 - (Ballon / 1.27048916109538)
38,812.39 = 55,000 - (Ballon / 1.27048916109538)
Ballon / 1.27048916109538 = 55,000 - 38,812.39
Ballon / 1.27048916109538 = 16,187.61
Ballon = 16,187.61 * 1.27048916109538
Ballon = $20,566.18
Therefore, the amount that your loan balance will be when you pay off the car is $20,566.18.
How many one-to-one functions are there from the set {A, B, C} to the set {x, y, z, t, w, k}?
Answer:
120 different one-to-one functions
Step-by-step explanation:
A one-to-one function means that each element from the domain can be mapped into only one element from the range (like for a typical function), and each element from the range can be mapped only once.
This means that, for two different inputs x₁ and x₂, we can't have:
f(x₁) = f(x₂)
Because that would mean that two different values of the domain are being mapped into the same element from the range.
Ok, now that we know this, let's count the number of possible "mappings" for each element in the domain.
For the first element, A, we have the options {x, y, z, t, w, k} (a total of 6 options).
For the second element, B, we will have an option less (because one was already taken) so here we have 5 options.
For the last element on the domain, C, there will be again an option less than in the previous case, so here we have 4 options.
The total number of combinations (each combination defines a different one-to-one function) is equal to the product between all the options for each case, then the total number of one-to-one functions is:
C = 6*5*4 = 120
There are 120 different one-to-one functions.
what is the simplest interest rate if $126.77 in interest is earned on a deposit of $1434.85 in one year?
Answer:
9%
Step-by-step explanation:
Principal x interest rate=yearly interest
1434.85 x interest rate =126.77
interest rate = 126.77/1434.85
interest rate=.088 or 9%
In the data set shown below, what is the value of the quartiles? {42, 43, 44, 44, 48, 49, 50} A. Q1 = 43.5; Q2 = 44; Q3 = 49 B. Q1 = 43; Q2 = 44; Q3 = 48.5 C. Q1 = 43.5; Q2 = 44; Q3 = 48.5 D. Q1 = 43; Q2 = 44; Q3 = 49
Answer:
C
Step-by-step explanation:
I don't actually know how to explain it but,
Q1=43.5
Q2=44
Q3=48.5
Sorry, I can't help more.
Answer:
C is your answer
Step-by-step explanation:
if a + b + c = 1, ab + bc + ca = -1 and abc = -1. find the value of a³+b³+c³
Answer:
1
Step-by-step explanation:
→ If we know that 3 numbers need to multiply to make -1, it must be
1, 1 and -1
→ Then we just substitute this into a³ + b³ + c³
1³ + 1³ + (-1)³ = 2 - 1 = 1
Convert the following improper fraction to a whole number or a mixed number: 41/6
Answer:
6 and 5 over 6
6 5/6
Step-by-step explanation:
it would be a mixed fraction because 6 can't go into 41 evenly
Answer:
6
Hope that this helps!
To estimate the benefits of an SAT prep course, a random sample of 10 students enrolled in the course is selected.
For each of these students, their entrance score on the exam taken at the beginning of the course is recorded. Their
exit score on the exam they take at the end of the course is recorded as well. The table displays the scores.
Answer: 57%
Step-by-step explanation:
12.10.4 Test (CST): Income and Budgeting
Question 12 of 25
What is the y-intercept of the line passing through the point 5.-6) with a
slope of - 1/7?
A.47/7
B.37/7
C.-37/7
D.-47/7
Answer:
C.-37/7
Step-by-step explanation:
Given the following data;
Points (x, y) = (5, -6)
Slope, m = -1/7
Mathematically, the equation of a straight line is given by the formula;
y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
To find the y-intercept of the line, we would use the following formula;
y - y1 = m(x - x1)
y - (-6) = -⅐(x - 5)
y + 6 = -⅐x + 5/7
y = -⅐x + (5/7 - 6)
y = -⅐x - 37/7 = mx + c
Therefore, y-intercept (c) = -37/7
Please answer this!!! WILL GIVE BRAINLIEST
Answer:
p > 9
Step-by-step explanation:
First let's note down-
George- has 23$
Total cost of m+p= more than $14
Second, let's subtract 23 and 14 to get what the glue costs.
23 - 14 = 9
So now we can cross out choice A and D.
Third, now earlier I said more than $14, this is the key part to find what we are going to choose.
more than = >
now we just plug in the variable,
p > 9
Hope this helps!
Please reach out to me if you still don't understand :)
I need to know how to solve this completely not just the answers plz :)
Which of the following is a solution of y > |x| - 5?
Answer:
download gauthmath it will help you answer this
Each month your cell phone company charges you $ 50 for your plan plus 3 cents for each text you send. You have $ 140 budgeted for cell phone expenses for the month. Construct an inequality to make a determination about the number of texts you can send each month. Note that you cannot send a fraction of a text. You must send _____________ _____________ texts this month in order to stay within
Answer:
3000 text messages can be sent without breaking the budget.
Step-by-step explanation:
Since each month your cell phone company charges $ 50 for your plan plus 3 cents for each text you send, and you have $ 140 budgeted for cell phone expenses for the month, to make a determination about the number of texts you can send each month the following calculation must be performed:
(140 - 50) / 0.03 = X
90 / 0.03 = X
3000 = X
Therefore, 3000 text messages can be sent without breaking the budget.
Can anyone help me with this question!
9514 1404 393
Answer:
D. (x² -2x -3) +(-x² +4x +2)
Step-by-step explanation:
The tiles on the first row model (x² -2x -3).
The tiles on the second row model (-x² +4x +2).
If the difference is being modeled, it will show as ...
(x² -2x -3) -(-x² +4x +2) = (x -2x -3) +(x² -4x -2) . . . . . matches none
If the sum is being modeled, it will show as ...
(x² -2x -3) +(-x² +4x +2) . . . . . matches D
_____
Additional comment
As is often the case, you can select the correct answer without even any understanding of the question. You can do that because the correct answer is the only one that is a true statement. All of the other answer choices are incorrectly "simplified."
Which is the graph of f(x) = x2 - 2X + 3?
Find the domain of f/g f(x)= sqrt 4-x^2 g(x)= sqrt 3x+4
Answer:
(-4/3, 2]
Step-by-step explanation:
f(x)= sqrt (4-x^2)
g(x) = sqrt (3x+4)
domain of f(x)/ g(x)
The domain of the numerator is
4-x^2 ≥ 0
4 ≥x^2
Taking the square root of each side
-2 ≤x≤2
The domain of the denominator
3x+4 > 0 ( the denominator cannot be zero)
3x>-4
x > -4/3
Combine the restrictions to make it most restrictive
-4/3<x≤2
In interval notation
(-4/3, 2]
A person must enter a 4 digit code to gain access to his cell phone. He will enter codes until he is successful, however he cannot try more than 3 times or the phone will lock him out. Let S denote a successful attempt and F denote a failed attempt. What is the sample space for this random experiment
Answer:
(S, FS, FFS, FFF)
Step-by-step explanation:
According to the Question,
Given, A person must enter a 4 digit code to gain access to his cell phone. He will enter codes until he is successful.however, he cannot try more than 3 times or the phone will lock him out.Let, S denote a successful attempt and F denote a failed attempt.So, the sample space for this random experiment is
{S, FS, FFS, FFF}
The person stops trying when he successfully enters the code or when he has failed at all 3 attempts .
Factor the polynomial: -5x3 - 10x2 - 15x
A. -5x(x2 + 2x - 15)
O B. 5x(x2 + 2x - 3)
O C. -5x(-x2 - 2x - 3)
OD. -5x(x2 + 2x + 3)
Answer:
answer is d if its wrong i am sorry
An electrician leans an extension ladder against the outside wall of a house so that it
reaches an electric box 30 feet up. The ladder makes an angle of 68° with the ground.
Find the length of the ladder. Round your answer to the nearest hundredth of a foot if
necessary.
Answer: [tex]32.36\ ft[/tex]
Step-by-step explanation:
Given
Ladder is leaned and make an angle of [tex]68^{\circ}[/tex]
Electric box is 30 ft up the ground.
Suppose x is the length of ladder
From the figure, we can write
[tex]\Rightarrow \sin 68^{\circ}=\dfrac{30}{x}\\\\\Rightarrow x=\dfrac{30}{\sin 68^{\circ}}\\\\\Rightarrow x=32.36\ ft[/tex]
The Sine or Sinθ in a right angle triangle is the ratio of its perpendicular to its Hypotenuse. The length of the ladder is 32.356 feet.
What is Sine (Sinθ)?The Sine or Sinθ in a right angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,
[tex]\rm{Sine(\theta) = \dfrac{Perpendicular}{Hypotenuse}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The hypotenuse is the longest side of the triangle.
As it is given that the height of the electric box from the bottom is 30 feet, while the ladder makes an angle of 68° with the ground.
The length of the ladder can be found using the trigonometric functions, therefore, the length of the ladder can be written as,
[tex]\rm Sine(\theta) = \dfrac{Perpendicular}{Hypotenuse}\\\\\\Sine(\angle C) = \dfrac{AB}{\text{Length of the ladder}}\\\\\\{\text{Length of the ladder}}= \dfrac{AB}{Sine(\angle C) }\\\\\\{\text{Length of the ladder}}= \dfrac{30}{Sine(68^o) }\\\\\\{\text{Length of the ladder}}= 32.356\ feet[/tex]
Hence, the length of the ladder is 32.356 feet.
Learn more about Sine:
https://brainly.com/question/21286835
Line A passes through the points (10,6) qnd (2,15). Line B passes through the points (5,9) and (14,-1).
Answer:
Line A equation = y=-9/8x+69/4
Line B equation = y=-10/9x+131/9
Step-by-step explanation:
Find the whole using the percent proportion. 70% of what number of hay bales is
63 hay bales?
Answer:
90
Step-by-step explanation:
Let the whole number be x.
100% is to x as 70% is to 63
100/x = 70/63
10/x = 10/9
10x = 90 * 10
x = 90
Answer: 90
Step-by-step explanation:
0.7x = 63, x = 63/0.7 = 90
A jet travels 5192 miles against a jetstream in 8 hours and 6072 miles with the jetstream in the same amount of time. What
is the rate of the jet in still air and what is the rate of the jetstream?
the answer is in the picture
Find the first three terms of the Maclaurin series for f(x) =
[tex]{e}^{ \frac{x}{2} } [/tex]
Step-by-step explanation:
Starting out with the Taylor series,
[tex]\displaystyle f(x) = \sum_{n=0}^{\infty} \dfrac{f^{(n)}(a)}{n!}(x-a)^n[/tex]
where [tex]f^{(n)}[/tex] is the nth derivative of f(x) and if we set a = 0, we get the special case of the Taylor series called the Maclaurin series:
[tex]\displaystyle f(x) = \sum_{n=0}^{\infty} \dfrac{f^{(n)}(0)}{n!}x^n[/tex]
Expanding this series up to the 1st 3 terms at a = 0,
[tex]f(x) = f(0) + \dfrac{f'(0)}{1!}x + \dfrac{f''(0)}{2!}x^2[/tex]
Let's find the derivatives of [tex]e^{\frac{x}{2}}[/tex]:
[tex]f'(x) = \frac{d}{dx} (e^{\frac{x}{2}}) = \frac{1}{2}e^{\frac{x}{2}} \Rightarrow f'(0) = \frac{1}{2}[/tex]
[tex]f''(x) = \frac{1}{4}e^{\frac{x}{2}} \Rightarrow f''(0) = \frac{1}{4}[/tex]
We can now write the Maclaurin series for [tex]e^{\frac{x}{2}}[/tex]as
[tex]e^{\frac{x}{2}} = 1 + \frac{1}{2} x + \frac{1}{8} x^2[/tex]
if three-fourth of a number is added to 14 gives result less than or equal to 20 .find the number,hense illustrate your answer on a number line
Answer:
see photo
Step-by-step explanation:
a bag contains 16 red coins , 8 blue coins , and 8 green coins. A player wins by pulling a red coin from the bag. Is this game fair? Justify your answer
Answer:
Step-by-step explanation:
there are a total of 16+8+8=32 coins in bag
16 out of 32 are red
player wins by pulling a red coin
assume it is a single pull, the winning probability = 16/32 = 1/2
so it is 50/50 chance n hence a fair game
Step-by-step explanation:
yes it is a fair game because any one don't know what the coin will get, it is based on luck
If ∠P, ∠Q, and ∠R are given, as well as the value of p, then explain whether the Law of Sines or the Law of Cosines should be used to solve for q.
Law of Sines, two angles and an opposite side are known
Law of Sines, two sides and an opposite angle are known
Law of Cosines, two sides and the included angle are known
Law of Cosines, all sides are known
Answer:
Law of Sines, two angles and an opposite side are known
Step-by-step explanation:
Law of Sines, two angles and an opposite side are known
q/sinQ = p/sinP
q = p/sinP * sinQ
help with multi step inequalities please
Answer:
B. The solution is valid because all steps to solve the inequality for F are correct.
Step-by-step explanation:
F - 32 ≤ 0
Add 32 to both sides of the equation to have;
F -32 + 32 ≤ 0 + 32
F ≤ 0 + 32
F ≤ 32
It can be observed that to solve for F, the steps are correct. Thus the solution is valid. Therefore, the correct choice in the given question is the solution is valid because all steps to solve the inequality for F are correct.
