Answer:
-37
Step-by-step explanation:
-16+-11=-27
-20+10=-10
-27+-10=-37
Principal: $4,000
Rate: 7.25%
Time: 8 years
How much money will need to be paid back to the bank for this loan?
Answer:
the money required to pay back to the bank for the loan is $7,002
Step-by-step explanation:
The computation of the money required to pay back to the bank for the loan is given below:
= Principal × (1 + rate of interest)^number of years
= $4,000 × (1 + 0.0725)^8
= $4,000 × 1.0725^8
= $7,002
Hence, the money required to pay back to the bank for the loan is $7,002
Today, everything at a store is on sale. The store offers a 20% discount.
a. The regular price of a T-shirt is $18. What is the discount price?
Answer:
If the REGULAR price of the t-shirt is $18, the SALE price with a 20% discount is $14.40.
18.00 * .20 = 3.60
18.00 - 3.60 = 14.40 14.40 is answer
Helppp plz i beg you i will give u a like and a 5 star
For the first one move it on the fourth one. So count four and place it there.
For the second one place it on the eighth one. So count eight and place it there.
For the last step 4/4 = w/8
4x2=8
so w=8
Use the equation below to complete Parts I, II, and III.
y=a(x-h)^2+v
(h,v)=vertex of parabola
Standard Form Equation of a Parabola That Opens Upward
y = a(x - h)^2 + v
(h, v) = vertex of parabola
Part I: A parabola opens upward. The parabola goes through the point (3, -1), and the vertex is at (2, -2). What are the values of h and v? (2 point)
h = v =
Part II: To find the value of a, subtract the y-coordinate of the vertex from the y-coordinate of the point on the parabola that is 1 unit to the right of the vertex.
Find the value of a for the parabola in Part I. Show your work. (3 points)
Part III: Use Parts I and II to write the equation of the parabola. (4 points)
Answer:
Step-by-step explanation:
Examining the parabolic equation shows that
Part I: h = v = -2
Part II: a = -1
Part III: y = (x - 2)² - 2
How to find a for the parabolaPart I:
Given information
Vertex: (h, v) = (2, -2)
Point on the parabola: (3, -1)
From the given information we can determine the values of h and v:
h = 2
v = -2
Part II:
To find the value of a, we need to subtract the y-coordinate of the vertex from the y-coordinate of the point on the parabola that is 1 unit to the right of the vertex.
Vertex: (h, v) = (2, -2)
Point on the parabola (1 unit to the right of the vertex) (3, -1)
a = (-1) - (-2)
a = -1 + 2
a = 1
Part III:
Using the values obtained in Part I and Part II, we can write the equation of the parabola:
y = a(x - h)² + v
Substituting the values:
y = 1(x - 2)² + (-2)
y = (x - 2)² - 2
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the perimeter of a rectangular red sticker is 34 mm. it is 8 mm tall. how wide is it?
Answer:
9mm
Step-by-step explanation:
34-16=18
18/2=9
solve for x in the triangle. round your answer to the nearest tenth
Answer:
x = 6.4
Step-by-step explanation:
Since you are given adjacent and hypotenuse use sin 53 = add/hyp
So .79863551 = x/8 so x = 6.3891
A whole pie is cut into 8 pieces and one slice is taken out, what's the fraction is left?
1 pie is cut into eighths or 1/8 a slice. 3 are taken out.
8/8-3/8=5/8 is left.
Answer:
7/8
Step-by-step explanation:
8/8-1/8=7/8
Suppose the following expression is given: P(X5=3|X4=3,X3=3,X2=1,X1=4, X0=1). a) Write down the "realization" of the stochastic process implied by the above expression, and explain what it means.
The given information that X0=1, X1=4, X2=1, X3=3, and X4=3 further restricts the possible values that X5 can take.
The realization of the stochastic process implies that the values of the stochastic process are observed at particular points in time. It is denoted by x(t) and takes the form of a function of time t.
If the process is discrete, then the function is a sequence of values at discrete points in time.
A stochastic process is one that evolves over time and the outcomes are uncertain.
The given expression P(X5=3|X4=3,X3=3,X2=1,X1=4, X0=1) gives the probability of X5 being equal to 3 given that X4 is equal to 3, X3 is equal to 3, X2 is equal to 1, X1 is equal to 4, and X0 is equal to 1.
To understand the above expression, suppose we have a stochastic process with values X0, X1, X2, X3, X4, and X5.
The given expression provides the conditional probability of the value of X5 being equal to 3 given that X0, X1, X2, X3, and X4 take specific values.
The given information that X0=1, X1=4, X2=1, X3=3, and X4=3 further restricts the possible values that X5 can take.
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Help me math pls 8th grade math
Answer: 20: A, 18: D, 8: All yes but the last one, 17: A
Step-by-step explanation:
according to census data, in 1950 the population of the u.s. amounted to 151.3 million persons, and 13.4% of them were living in the west. in 2000, the population was 281.4 million, and 22.5% of them were living in the west. is the difference in percentages practically significant? statistically significant? or do these questions makes sense? explain briefly.
The difference in percentages is practically significant but whether or not it is statistically significant cannot be determined.
Here, we are given that 13.4% of the population in the US lived in the West in 1950 and 22.5% in 2000.
Thus, the difference in percentage = 22.5 - 13.4 = 9.1%
We observe that the difference is large, this means that the difference in percentages is practically significant.
Now, to determine whether the difference is statistically significant it is appropriate to conduct a two-sample z-test and it is only appropriate to conduct the test of significance when the samples are simple random samples.
In this case, the samples are not simple random samples, because the data given contains information on all individuals in the population. Moreover, it is not appropriate to determine whether the difference in percentages is statistically significant as the samples are not probability samples.
Thus, the difference in percentages is practically significant but whether or not it is statistically significant cannot be determined.
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help and thankyou
What is the slope of the line?
Answer:
The slope is 4/5
Step-by-step explanation:
m = rise/run
(-3,1) and (2,-3)
4/5
m = 4/5
Find the Average
100-90-80-89-75-0
Explain how u got ur answer
Someone help I will give brainlist for whoever explains it
Answer:
72.3
Step-by-step explanation:
So, to find the average you need to add all the numbers together and divide it by the amount of numbers there are, if that makes sense.
so in your question: 100 + 90 + 80 + 89 + 75 + 0= 434
and there are 6 numbers that you had to add together, so you divide 434 by 6, which is 72.3 so that's the answer! It's quite easy once you understand how to do it :)
A coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to
buy each player a bottle of water and an energy bar. The price of one energy bar is $2.
Let w equal the price of a bottle of water. Write an equation that
represents the situation.
Answer: 22( w + 2 ) =77 and the amount of the water bottle would be 1.50
Step-by-step explanation: i dont know what to write??
Zippy's Zip Line Land plans to install a new zip line between two trees. One tree is 45 feet east (x coordinate) of the storage hut and the other is 25 feet north ( y coordinate) of the storage hut. The end of the zip line on the tree cast of the hut will be at a height (z coordinate) of 46 feet and the other end will be at a height of 39 feet on the tree north of the hut. If the zip line is stretched taut, how many feet of zip line is needed. Round your answer to the hundredths place.
We can set the first point of our zip line as follows:
(x₁ , y₁ , z₁) = (0, 0, 46)
So the end of the zip line would be:
(x₂ , y₂ , z₂) = (45, 25, 39)
Now let's use the given distance formula to solve this problem:
PLZ HELP ME PLZ asap
Answer:
m/angle BOC=47 degrees
Step-by-step explanation:
Scott like to run long distance. he can run 20km in 85 min. he wants to know how many minutes it will take him to run 52 km at the same place.
Answer:
When you set up the proportion, you have to make sure that the km match up and the min match up.
m/85=52/20 is the correct answer.
To solve, cross multiply and solve for m.
20m=4,420
m=221
It will take 221 minutes.
Step-by-step explanation:
Answer: 221 minutes
Step-by-step explanation: When you set up the proportion, you have to make sure that the km match up and the min match up.
m/85=52/20 is the correct answer.
To solve, cross multiply and solve for m.
20m=4,420
m=221
Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.
my chart:
friend#0 147.6$
friend#2 102$
friend#3 75.6$
friend#4 117.6$
Answer:Emily; 46.50/173.22= 0.2684
Ally: 47.04/ 173.22= 0.272
Rosalia: 39.84/173.22= 0.2299
The answer would be friend#2 102$
Step-by-step explanation:
Mark me as brainliest please
Answer:
1friend 0
Step-by-step explanation:
Question 6 (Yes/No Worth 1 points) (02.01 LC) Is the following relation a function? x y 1 −2 1 −3 2 1 3 −2 Yes No
This is not a function, we know this because the input x = 1 is mapped into two different outputs.
Is the following relation a function?A relation maps elements from one set, the domain, into elements from another set, the range. A relation is only a function if each element of the domain is mapped into only one element of the range.
In this case, we have the relation:
x: 1, -2, 1, -3
y: 2, 1, 3, -2
The input x = 1 is mapped into two different values, y =2 and y = 3.
Thus, the relation is not a function.
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Kendra bought a pair of $125 jeans for $93.75. What percent was taken off from the original price?
Answer:
25%
Step-by-step explanation:
p/w =x/100 for a percentage
93.75/125 = x/100
93.75×100= 9375
9375 = 125x
9375/125 =75
x=75
So she paid 75% of the original price, meaning the jeans were 25% off.
Part E
Which Lateral face has the largest area, the bottom one, left one, or diagonal one? What is it’s area?
Answer:
question is quite hard. as my experience so yo need practice too much
Answer:
The [ Diagonal ] one has the largest area of [ 48√2 cm² ]
Explanation:
For behind area:
12 × 4 = 48 cm²For bottom area:
4 × 12 = 48 cm²Find the diagonal length:
c² = 4² + 4²c = √32c = 4√2For the left sides:
1/2 × 4 × 4 = 8 cm²For the diagonal area:
4√2 × 12 = 48√2 cm² ← This is the greatest area found.Please help!! 10 points Sam earns $42,900 per year find his biweekly salary.
Answer:1,650
Step-by-step explanation:
42,900/26
Answer:
$1,650
Step-by-step explanation:
42,900/26
there are 26 biweeklys
If the diameter of a cylinder is 18 inches, the radius of the cylinder is 9 inches.
True False
Answer:
True
Step-by-step explanation:
A cylinder has two circles as its bases, and the diameter formula is:
2r = d
So if you plug in:
2r = 18
--- ---
2 2
r = 9
So it will be true.
Hope this helped.
A machine has 28 identical components which function independently. The probability that a component will fail is 0.19 . The machine will stop working if more than three components fail. Find the probability that the machine will be working. Round to the nearest thousandth.
By definition of a binomial random variable, the probability that the machine will be working is 0.82045.
Definition of probabilityFirst of all, you should know that the Probability is the greater or lesser possibility that a certain event will occur.
In other words, the probability establishes a relationship between the number of favorable events and the total number of possible events.
Definition of random variableOn the other hand, a random variable is a function that associates a real number, perfectly defined, to each sample point.
A random variable is discrete if the numbers it gives rise to are integers.
Definition of binomial distributionFinally, a binomial distribution is a discrete probability distribution that describes the number of successes in performing n independent experiments on a random variable.
The expression to calculate the binomial distribution is:
P(X=x)=(\(n\\ x\)) pˣ qⁿ⁻ˣ
Where:
n = Number of trials/experimentsx = Number of successesp = Probability of successq = Probability of failure (1-p)Remember that:
(\(n\\ x\))=\(\frac{n!}{x!(n-x)!}\)
where the exclamation mark represents the factorial symbol, that is, the product of all positive integers from 1 to n.
Probability that the machine will be workingA machine has 28 identical components which function independently. The probability that a component will fail is 0.19.
The following random variable is defined:
x= the number of components will stop working.
Being n the total number of pieces (in this case, 12 pieces) and p the probability of success (the piece fails, in this case 0.19), the expression to be used is expressed as:
P(X=x)=(\(12\\ x\)) 0.19ˣ (1-0.19)¹²⁻ˣ
P(X=x)=\(\frac{12!}{x!(12-x)!}\) 0.19ˣ (0.81)¹²⁻ˣ
Since the machine will stop working if more than three components fail, you need to know the probability that the machine will be working if 3 or less than 3 components fail. In other words, it may be that 0, 1, 2 or 3 pieces are broken and the machine continues to work:
P(X≤3)= P(X=0) + P(X=1) + P(X=2) + P(X=3)
Then:
P(X≤3)= \(\frac{12!}{0!(12-0)!}\) 0.19⁰ (0.81)¹²⁻⁰ + \(\frac{12!}{1!(12-1)!}\) 0.19¹ (0.81)¹²⁻¹ + \(\frac{12!}{2!(12-2)!}\) 0.19² (0.81)¹²⁻² + \(\frac{12!}{3!(12-3)!}\) 0.19³ (0.81)¹²⁻³
Solving:
P(X≤3)= \(\frac{12!}{0!12!}\) ×1×(0.81)¹² + \(\frac{12!}{1!11!}\) 0.19×(0.81)¹¹ + \(\frac{12!}{2!10!}\) 0.19²×(0.81)¹⁰ + \(\frac{12!}{3!9!}\) 0.19³×(0.81)⁹
P(X≤3)= 1×1×(0.81)¹² + 12×0.19×(0.81)¹¹ + 66×0.19²×(0.81)¹⁰ + 220×0.19³×(0.81)⁹
P(X≤3)= (0.81)¹² + 2.28×(0.81)¹¹ + 2.3826×(0.81)¹⁰ + 1.50898×(0.81)⁹
P(X≤3)= 0.82045
Finally, the probability that the machine will be working is 0.82045.
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PLS HELP!!!! Function 111 is defined by the equation r=\dfrac{5}{8}t-9r=
8
5
t−9r, equals, start fraction, 5, divided by, 8, end fraction, t, minus, 9.
Function 222 is defined by the following table.
Answer:
they have the same as y
Step-by-step explanation:
khan<3
The y-intercept of a function is the value of y when x = 0. Therefore, the functions have the same y-intercept.
How to find y-intercept?
The y-intercept of a function is the value of y when x = 0. In other words, it is the point where the graph intersects the y-axis.
Therefore,
Function 1:
r = 5 / 8 t - 9
r = 5 / 8 (0) - 9
r = -9
hence, the y-intercept is -9
Function 2:
when t = 0, r = -9
Hence, the y-intercept is -9
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Which expression is equivalent to −28x2 + 35x?
Answer:
-7x(4x - 5)
Step-by-step explanation:
−28x^2 + 35x
-7x(4x - 5)
Hope this helps!
Out of 30 students in Mohammed's class, 40% are girls. How many are boys?
Answer:
18 boys
Step-by-step explanation:
30*0.4= 12
30-12=18
find the values of p and q in the arithmetic progression-12,p,q,18
Answer:
p=14
q=16
Step-by-step explanation:
if,
a,b,c,d.......... (Arithmetic progression)
b-a=c-b=d-c
The differences of the adjacent elements are equal.
For square ABCD, if m∠ACB = (8x – 27)°, find the value of x.
Answer:
x=9
Step-by-step explanation:
Since ABCD is a square, we know that AC bisects ∠BCD(=90), and therefore ∠ACB=45.
8x-27=45
8x=72
x=9
Answer:
x = 9°
Step-by-step explanation:
∠ACB = 45° because line AC bisects ∠BCD which is 90° (because square).
8x - 27° = 45°
add 27° to each side:
8x = 72°
divide both sides by 8:
x = 9°
pls help (will give brainliest if possible!)
The real number √21 is an example of an irrational number. (Correct choice: C)
What number is real and irrational?
According to number theory, real numbers are formed by the following sets:
Natural numbers - Set of real numbers defined by N = {1, 2, 3, 4, 5, 6, ...}.Whole numbers - Set of real numbers defined by the union of the set of natural numbers and the number 0.Integers - Set of real numbers defined by the union of the set of whole numbers and Z = {- 1, - 2, - 3, - 4, - 5, - 6, ...}Rational numbers - Set of real numbers defined by numbers of the form m / n, where m and n are integers and n is not zero. All integers are also rational numbers, but not all rational numbers are integers.Irrational numbers - Set of real numbers that are not rational. All rational numbers can have an irrational representation, but not all irrational numbers are rational.Then, by direct inspection we get the following conclusions:
The real number 5.85858585... is a rational number.The real number 63.4 is a rational number (317 / 50).The real number √21 is an irrational number. The real number √36 is a rational number (6).To learn more on irrational numbers: https://brainly.com/question/17450097
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if ∑an and ∑bn are both convergent series with positive terms, then ∑anbn is convergent.T/F
If the series ∑an and ∑bn are both convergent series with positive terms, then the series ∑anbn is also convergent.
This can be proven using the Comparison Test for series convergence. Since an and bn are both positive terms, we can compare the series ∑anbn with the series ∑an∑bn.
If ∑an and ∑bn are both convergent, then their respective partial sums are bounded. Let's denote the partial sums of ∑an as Sn and the partial sums of ∑bn as Tn.
Then, we have:
0 ≤ Sn ≤ M1 for all n (Sn is bounded)
0 ≤ Tn ≤ M2 for all n (Tn is bounded)
Now, let's consider the partial sums of the series ∑an∑bn:
Pn = a1(T1) + a2(T2) + ... + an(Tn)
Since each term of the series ∑anbn is positive, we can see that each term of Pn is the product of a positive term from ∑an and a positive term from ∑bn.
Using the properties of the partial sums, we have:
0 ≤ Pn ≤ (M1)(Tn) ≤ (M1)(M2)
Hence, if ∑an and ∑bn are both convergent series with positive terms, then ∑anbn is also convergent.
Therefore, the given statement is True.
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