Answer:
Permutation. ; 83810 ways
Step-by-step explanation:
Permutation and combination methods refers to mathematical solution to finding the number of ways of making selection for a group of objects.
Usually, selection process whereby the order of selection does not matter are being treated using permutation, while those which takes the order of selection into cognizance are calculated using combination.
Here, selecting 2 members (president and vice president) from 290 ; since order of arrangement does not matter, we use permutation ;
Recall :
nPr = n! ÷ (n - r)!
Hence,
290P2 = 290! ÷ (290 - 2)!
290P2 = 290! ÷ 288!
290P2 = (290 * 289) = 83810 ways
find the missing side of the triangle
Answer:
x = 34
Step-by-step explanation:
Pytago:
x[tex]30^{2} + 16^{2} = x^2\\x = \sqrt{30^2 + 16^2} \\x = 34[/tex]
plz help me with this question
What is one important role that ocean waters have in heating Earth?
absorb and transport solar energy
transport nutrients and waste
create and emit solar energy
wear away rock and soil
also support me on on ubute SadSpade4679
Answer:
The ocean absorbs heat energy from the sun
Step-by-step explanation:
Yw :)
Answer:
The ocean absorbs heat energy from the sun.
Step-by-step explanation:
Hi I need help could someone please help me
Answer:
it's hypotenuse
Step-by-step explanation:
in this parallelogram, the measure of
Answer:
∠ A = 60°
Step-by-step explanation:
Consecutive angles in a parallelogram sum to 180° , then
∠ A + ∠ B = 180° ( substitute ∠ B = 2 ∠ A )
∠ A + 2 ∠ A = 180°
3 ∠ A = 180° ( divide both sides by 3 )
∠ A = 60°
Cual es el capital que prestado al 10% bimestral durante 6 meses y 10 días produce un interés de 1140
Answer:
El capital que prestado al 10% bimestral durante 6 meses y 10 días produce un interés de $1140 es $3,600.
Step-by-step explanation:
Para determinar cuál es el capital que prestado al 10% bimestral durante 6 meses y 10 días produce un interés de $1140 se debe realizar el siguiente cálculo:
6 / 2 = 3
10/60 = 0.16666
10 x 3.1666 = 31.666
31.666 = 1140
100 = x
100 x 1140 / 31.666 = X
114,000 / 31.666 = X
3,600 = X
Por lo tanto, el capital que prestado al 10% bimestral durante 6 meses y 10 días produce un interés de $1140 es $3,600.
Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 27 dollars and a standard deviation of 9 dollars.
A. What proportion of the bank's Visa cardholders pay more than 29 dollars in interest?
B. What proportion of the bank's Visa cardholders pay more than 35 dollars in interest?
C. What proportion of the bank's Visa cardholders pay less than 14 dollars in interest?
D. What interest payment is exceeded by only 18% of the bank's Visa cardholders?
Answer:
a. 0.4129 = 41.29% of the bank's Visa cardholders pay more than 29 dollars in interest.
b. 0.1867 = 18.67% of the bank's Visa cardholders pay more than 35 dollars in interest.
c. 0.0742 = 7.42% of the bank's Visa cardholders pay less than 14 dollars in interest.
d. An interest payment of $35.2 is exceeded by only 18% of the bank's Visa cardholders.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 27 dollars and a standard deviation of 9 dollars.
This means that [tex]\mu = 27, \sigma = 9[/tex]
A. What proportion of the bank's Visa cardholders pay more than 29 dollars in interest?
This is 1 subtracted by the p-value of Z when X = 29, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{29 - 27}{9}[/tex]
[tex]Z = 0.22[/tex]
[tex]Z = 0.22[/tex] has a p-value of 0.5871.
1 - 0.5871 = 0.4129
0.4129 = 41.29% of the bank's Visa cardholders pay more than 29 dollars in interest.
B. What proportion of the bank's Visa cardholders pay more than 35 dollars in interest?
This is 1 subtracted by the p-value of Z when X = 35, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{35 - 27}{9}[/tex]
[tex]Z = 0.89[/tex]
[tex]Z = 0.89[/tex] has a p-value of 0.8133.
1 - 0.8133 = 0.1867
0.1867 = 18.67% of the bank's Visa cardholders pay more than 35 dollars in interest.
C. What proportion of the bank's Visa cardholders pay less than 14 dollars in interest?
This is the p-value of Z when X = 14. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{14 - 27}{9}[/tex]
[tex]Z = -1.445[/tex]
[tex]Z = -1.445[/tex] has a p-value of 0.0742.
0.0742 = 7.42% of the bank's Visa cardholders pay less than 14 dollars in interest.
D. What interest payment is exceeded by only 18% of the bank's Visa cardholders?
This is the 100 - 18 = 82nd percentile, which is X when Z has a p-value of 0.82, so X when Z = 0.915.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.915 = \frac{X - 27}{9}[/tex]
[tex]X - 27 = 0.915*9[/tex]
[tex]X = 35.2[/tex]
An interest payment of $35.2 is exceeded by only 18% of the bank's Visa cardholders.
For the function f(x) = x^2 + 4x -5 solve the following f(x)=0
That's a question about quadratic function.
Any quadratic function can be represented by the following form:
[tex]\boxed{f(x)=ax^2+bx+c}[/tex]
Example:
[tex]f(x)= -3x^2-9x+57[/tex] is a function where [tex]a=-3[/tex], [tex]b=-9[/tex] and [tex]c=57[/tex].
Okay, in our problem, we need to find the value of x when [tex]f(x)=0[/tex]. That's mean that the result of our function is equal to zero. Therefore, we have the quadratic equation below:
[tex]x^2+4x-5=0[/tex]
To solve a quadratic equation, we use the Bhaskara's formula. Do you remember the value of a, b and c? They going to be important right now. This is the Bhaskara's formula:
[tex]\boxed{x=\frac{-b\pm \sqrt{b^2-4ac} }{2a} }[/tex]
So, let's see the values of a, b and c in our equation and apply them in the Bhaskara's formula:
In [tex]x^2+4x-5=0[/tex] equation, [tex]a=1[/tex], [tex]b=4[/tex] and [tex]c=-5[/tex]. Let's replace those values:
[tex]x=\frac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-4\pm \sqrt{4^2-4\times1\times(-5)} }{2\cdot1}[/tex]
[tex]x=\frac{-4\pm \sqrt{16-(-20)} }{2}[/tex]
[tex]x=\frac{-4\pm \sqrt{16 + 20)} }{2}[/tex]
[tex]x=\frac{-4\pm \sqrt{36} }{2}[/tex]
[tex]x=\frac{-4\pm 6 }{2}[/tex]
From now, we have two possibilities:
To add:
[tex]x_1 = \frac{-4+6}{2} \\x_1=\frac{2}{2} \\x_1=1[/tex]
To subtract:
[tex]x_2=\frac{-4-6}{2} \\x_2=\frac{-10}{2} \\x_2=-5[/tex]
Therefore, the result of our problem is: [tex]x_1 = 1[/tex] and [tex]x_2=-5[/tex].
I hope I've helped. ^^
Enjoy your studies. \o/
A 40-foot tree casts a shadow 60 feet long. How long would the shadow of a 6-foot man be at that time?
Answer:
26 ft
Step-by-step explanation:
I'm guessing this is how it's done
60-40= 20
there for at this time any shadow would be 20x it's original height/length
so 6+20=26 ft
lmk if I'm correct
Taking ratios
Let the shadow length=x ft
[tex]\\ \sf\longmapsto 40:60=6:x[/tex]
[tex]\\ \sf\longmapsto \dfrac{40}{60}=\dfrac{6}{x}[/tex]
[tex]\\ \sf\longmapsto \dfrac{4}{6}=\dfrac{6}{x}[/tex]
[tex]\\ \sf\longmapsto 4x=6(6)[/tex]
[tex]\\ \sf\longmapsto 4x=36[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{36}{4}[/tex]
[tex]\\ \sf\longmapsto x=9[/tex]
If Maya has 5 more than twice as many candies as Katie, which of the following expressions shows the number of candies Maya has?
5c + 2, where c is the number of candies Katie has
5c + 2, where c is the number of candies Maya has
2c + 5, where c is the number of candies Maya has
2c + 5, where c is the number of candies Katie has
Answer:
2c + 5, where c is the number of candies Katie has
Step-by-step explanation:
Let c represent the number of candies that Katie has.
Maya has 5 more than twice as many candies as Katie.
Twice as many candies as Katie can be represented by 2c, and 5 more than this can be represented by 2c + 5.
So, the expression for the number of candies Maya has is 2c + 5.
Answer:
2c + 5, where c is the number of candies Katie has
Step-by-step explanation:
I took the test.
Use the permutation formula to solve a problem when n = 8 and r = 2.
A. 56
B. 672
C. 6,720
D. 40,320
Answer:
Option A. 56
Step-by-step explanation:
From the question given above, the following data were obtained:
Total number (n) = 8
Item taken for permutation (r) = 2
Pemutation (P) =?
ₙPᵣ = n! / (n – r)!
₈P₂ = 8! / (8 – 2)!
₈P₂ = 8! / 6!
₈P₂ = 8 × 7 × 6! / 6!
₈P₂ = 8 × 7
₈P₂ = 56
Answer:
A. 56
Step-by-step explanation:
equation of a line with slope -1 and y intercept 0,-2
Answer:
y = - x - 2
Step-by-step explanation:
y=mx+b
m refers to slope
b refers to y intercept
y = (-1)x + (-2)
y = - x - 2
Answer:
y=-1x-2
Step-by-step explanation:
plug in the slop and y intercept to the equation y=mx+b
The procluct of q and y digided by the sum of 8 and X
Answer: do you have any of the values?
Step-by-step explanation:
?
Using the technique in the model above, find the missing segments in this 30°-60°-90° right triangle.
BC = 2
AB=
Value of x
1\5(x)(1/5)=6/3(5/1)
Answer:
1/25=3/30
1250=
2501
2389
5552
Quentin is one third the age of his aunt. And 20% older than his sister. If Quentin's sister is 15 years old, how old is his aunt?
Answer:
54
Step-by-step explanation:
20% of 15 is 3 so Quentin is 18 years old
If Quentin is one thrid his Aunt's age that means his aunt is three times older.
18 * 3 = 54
So his Aunt is 54 years old
The age of Quentin's aunt is 54 years if the Quentin is one third the age of his aunt if we solve by making the Quentin's Aunt age as variable x.
What is a equation?
An equation is a formula that expresses the equality of variables.
How to determine age of aunt?
let the age of the aunt is x years.
According to the question the age of Quentin is x/3 years.
The age of Quentin's sister is x/3*100/120
=5x/18
We have been given the age of Quentin's sister is 15 years.
So, 5x/18=15
=x=54 years
Hence the age of aunt is 54 years old.
Learn more about equations at https://brainly.com/question/2972832
#SPJ2
find the perimeter of the polygon
Answer:
50
Step-by-step explanation:
19-7=12
6+6+7+19+12
a person who take 40 paces to cover 20m finds that a square field has a side that is 520 paces long .calculate the length of the side and the area of the field
The area of the square field is 67600 m² and the side is 260 m long.
What is square?A quadrilateral with all sides equal and all angles are right angles.
Given that, a person takes 40 paces to cover 20 m of a square field according to him the field has a side that is 520 paces long, we need to find the measure of the side and the area,
Since,
40 paces = 20 m
1 pace = 1/2 m
Therefore,
520 paces = 0.5 x 520 m
= 260 m
Therefore, the square field is 260 m long,
Area of the square field = side² = 260²
= 67600 m²
Hence, the area of the square field is 67600 m² and the side is 260 m long.
Learn more about squares, click;
https://brainly.com/question/14198272
#SPJ2
Kiểm tra 800 hạt gạo của một lô gạo người ta thấy có 750 hạt nguyên, 25 hạt tấm lớn, 25 hạt tấm bé. Hãy tìm khoảng tin cậy của tỉ lệ hạt nguyên của lô gạo nói trên với độ tin cậy 95%. Cho U(0,025) = 1,96, U(0,05) = 1,645.
Answer:
what is your Language I think it is Russian I don't understand Russian I only understand Nepali,English and Japanese
A teacher finishes explaining a new concept to the class and wants to check that all the students have grasped the concept. The teacher asks those who do not understand to raise their hands. This process leads to which of the following bias(es)?
a) Response bias
b) Measurement bias
c) Both response bias and measurement bias
d) neither response bias nor measurement bias
Answer:
response bias
Step-by-step explanation:
because whan you are asked a question you expect response in return
I need help answering this ASAP
Answer:
x=13
Step-by-step explanation:
f(x) = sqrt(x-11)
The square root must be greater than or equal to zero
sqrt(x-11)≥0
Square each side
x-11≥0
x ≥11
The only answer that is greater than or equal to 11 is
x=13
Determine the degree of the term 2^3x2yz4
Answer:
7
Step-by-step explanation:
It looks like the term is [tex]2^3}x^2}yz^4[/tex]
First simplify
[tex]8x^2}yz^4[/tex]
[y has an exponent of 1 btw]
Then to find the degree of a term, just add up the values of all the exponents
2+1+4=7
I hope this helps!
Which is an example of using an open-ended question to uncover a problem? O a) "Do you have a problem you'd like addressed today?" b) "Is there a problem? C) "What seems to be the problem?" O d) "Can I help you?"
Answer:
(D)
Step-by-step explanation:
i think dat is an open ended question
Susan has calculated that she needs $58000 her first year of retirement to maintain her standard of living. She expects to receive
$1000 per month from her employer defined-benefit pension and $1500 per month from Social Security. What is her annual
retirement income shortfall?
answer options:
28,000
40,000
58,000
150,000
Answer:
$28000
Step-by-step explanation:
12×1000 + 12×1500 = 12000 + 18000 = $30000
the shortfall is the difference between $58000 and $30000
58000 - 30000 = $28000
A farm orders x horse shoes for its horses. The farm does not order extras and all the horses will get new horse shoes. Apply the k-to-1 rule to determine the number of horses on the farm. Express your answer as a function of x. You should not need the ceiling or floor functions.
Answer:
Here,
x/4
Then the
k-to-1 rule.
Suppose there is a k-to-1 correspondence from a finite set A to a finite set B. Then |B| = |A|/k.
Suppose a shipment of 400 components contains 68 defective and 332 non-defective computer components . From the shipment you take a random sample of 25. When sampling with replacement (so that the p = probability of success does not change), note that a success in this case is selecting a defective part. The standard deviation of this situation is?
Answer:
The standard deviation for the number of defective parts in the sample is 1.88.
Step-by-step explanation:
The sample is with replacement, which means that the trials are independent, and thus, the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
68 defective out of 400:
This means that [tex]p = \frac{68}{400} = 0.17[/tex]
From the shipment you take a random sample of 25.
This means that [tex]n = 25[/tex]
Standard deviation for the number of defective parts in the sample:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{25*0.17*0.83} = 1.88[/tex]
The standard deviation for the number of defective parts in the sample is 1.88.
The standard deviation of the situation is 1.88
The proportion of success is calculated as:
[tex]p = \frac xn[/tex]
So, we have:
[tex]p = \frac {68}{68 + 332}[/tex]
[tex]p = 0.17[/tex]
The standard deviation is then calculated as:
[tex]\sigma= \sqrt{np(1-p)}[/tex]
For a shipment of a random sample of 25, we have:
[tex]\sigma= \sqrt{25 * 0.17 * (1-0.17)}[/tex]
Evaluate the product
[tex]\sigma= \sqrt{3.5275}[/tex]
Evaluate the root
[tex]\sigma= 1.88[/tex]
Hence, the standard deviation of the situation is 1.88
Read more about standard deviation at:
https://brainly.com/question/475676
In , Americans spent a record-high billion on Halloween-related purchases (the balance website). Sample data showing the amount, in dollars, adults spent on a Halloween costume are as follows. 12 67 25 62 33 38 34 47 53 16 11 97 46 32 62 27 a. What is the estimate of the population mean amount adults spend on a Halloween costume (to decimals)
Answer:
41.375
Step-by-step explanation:
Given the sample data :
The estimate of the population mean from the sample data is given as :
Mean = ΣX / n
Mean = (12+67+25+62+33+38+34+47+53+16+11+97+46+32+62+27) / 16
Mean = 662 / 16
Mean = 41.375
Will give brainliest
A tablet at a local electronics store is in high demand and will only be available to customers for a limited time. The store initially has 4 cases of the tablet on hand. The store manager receives new supplies of the tablet each week. At the beginning of week 1, the store manager receives an additional order from the distributor of 5 cases of tablets. At the beginning of week 6, the manager receives another order of 10 cases. Which of the following equations best models the scenario for how many cases of the tablet the store can expect to receive each week?
a. y=4
b. y=x+4
c. y=-6x
Find the measure of the missing angles.
Answer:
Step-by-step explanation:
e = 61°, f = 119°, and d = 90°
We know that vertically opposite angles are equal.
So, e = 61° [Vertically opposite angles]
We know that linear pair of angles are supplementary (180°).
So, f + 61° = 180° [Linear pair of angles]
=> f = 180° - 61°
=> f = 119°
and d + 90° = 180° [Linear pair of angles]
=> d = 180° - 90°
=> d = 90°
WILL GIVE BRAINLIST IF CORRECT Which function is represented by this graph
Answer:
Step-by-step explanation:
B; So this is a transformation problem from the parent function of f(x)=|x| so the function is is moved 3 units down giving it the -3 at the end and is moved to the right 7 units so it would be x-7
PLEASE HELP ASAP!!! (answer in decimal)
Answer:
re send it
Step-by-step explanation:
ty
