Answer:
10,000 different PINS are possible
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
In this question:
Four each digit on the PIN, there are 10 possible outcomes. The digits are independent. So, by the fundamental counting principle:
[tex]T = 10^4 = 10000[/tex]
10,000 different PINS are possible
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.
1/6 of ______ equals 9
What is the blank?
Answer:
54
Step-by-step explanation:
1/6 × y = 9
y ÷ 6 = 9
y ÷ 6 × 6 = 9 × 6
y = 54
Two workers paint lines for angled parking spaces
Answer:
2nd option
Step-by-step explanation:
The lines are parallel because the angles are congruent since they are Alternate exterior angles.
109.06 in scientific notation is
WILL MARK YOU IF YOU ANSWER SO PLEASE HELP
Answer:
x= 83
first take vertical opposite angle then take corresponding angles then you're done
Answer:
x value is 83 degree
because they both are alternate exterior angle
Which of the following statement is incorrect? .
a.Closure property is true for subtraction of Rational numbers
b.Commutative property is true for subtraction of Rational numbers
c.Closure property is true for addition of Rational numbers
d.Closure property is true for multiplication of Rational numbers
If you answer the question I will follow you
answer fast
Answer:
b.Commutative property is true for subtraction of Rational numbers
Step-by-step explanation:
Option B is the correct answer as it is the incorrect statment in the given options.what is the slope of this graph?? :,)
Answer:
1/2
Step-by-step explanation:
This line is going up towards the right- that makes it positive. It is increasing. So it can't be negative or going "down"
The question wants to see if you know the direction of the line.
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.No guessing please.
The sample space,S,of a coin being tossed three times is shown below, where H and T denote the coin landing on heads and tails respectively.
Answer: Bottom left corner
=======================================================
Explanation:
There are only four possible outcomes here
A) we get all tails, ie getting 0 headsB) we get exactly one head (the rest tails)C) we get exactly 2 headsD) we get all three headsBased on this so far, the answer is either the table in the bottom left corner or in the top right corner. It's not possible for X = 4 since we only flipped 3 coins.
The probability of case A happening is 1/8 since we have 1 scenario that's all tails (TTT) out of 8 items in the sample space. Similarly, the probability for case D is the same probability. We only have one HHH out of 8 total items.
The probabilities of cases B and C are the same. Both are 3/8. Note that for case B, we have HTT, THT, TTH which is three occurrences in which we get exactly 1 head. So that explains the 3/8.
Which angle is coterminal with a 130° angle? A. An angle measuring –130° O B. An angle measuring 310° C. An angle measuring 490° O D. An angle measuring 480°
Answer:
Option C
Step-by-step explanation:
Positive coterminal angle of 130° is
(130+360)°
= 490°
Answered by GAUTHMATH
Answer:
An angle measuring 490
Step-by-step explanation:
it was right
HELP ASAP PLEASE Alaina has $28 in her account. She wants to purchase a pair of shoes that costs $45. If Alaina makes the purchase, which integer will represents the amount of money in Alaina's account?
Answer:
-17
Step-by-step explanation:
28-45= -17 dollars in her account
Charlie weighed 8 lbs. 11 oz. at birth given that 1 pound is equivalent to 16 ounces what is Charlie’s birthweight expressed in ounces
Answer:
139 oz.
Step-by-step explanation:
If 1 pound equals 16 ounces, multiply 8 by 16 and you will get 128, then add the original 11 ounces to get 139.
One of the questions Rasmussen Reports included on a 2018 survey of 2,500 likely voters asked if the country is headed in right direction. Representative data are shown in the DATAfile named Right Direction. A response of Yes indicates that the respondent does think the country is headed in the right direction. A response of No indicates that the respondent does not think the country is headed in the right direction. Respondents may also give a response of Not Sure.
(a) What is the point estimate of the proportion of the population of respondents who do think that the country is headed in the right direction?
(b) At 95% confidence, what is the margin of error for the proportion of respondents who do think that the country is headed in the right direction?
(c) What is the 95% confidence interval for the proportion of respondents who do think that the country is headed in the right direction?
(d) What is the 95% confidence interval for the proportion of respondents who do not think that the country is headed in the right direction?
(e) Which of the confidence intervals in parts (c) and (d) has the smaller margin of error? Why?
The confidence interval in part (c) has a (Smaller or Larger) margin of error than the confidence interval in part (d). This is because the sample proportion of respondents who do think that the country is headed in the right direction is (closer to .5 / closer to 1 / farther from .5 / farther from 1) than the sample proportion of respondents who do not think that the country is headed in the right direction.
Dataset:
553 - No
70 - Not Sure
384 - Yes
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
553 - No
70 - Not Sure
384 - Yes
Total = (553 + 70 + 384) = 1007
Proportion who do think country is headed in the right direction :
P = yes / total = 384/1007 = 0.381
b.) Error margin at 95%
Margin of Error = Zcritical * √p(1-p)/n
1-p = 1 - 0.381 = 0.619
Zcritical at 95% = 1.96
Margin of error = 1.96 * √0.381(0.619)/1007
Margin of error = 0.030
C.)
95% confidence interval for heading in the right direction:
P ± margin of error
P ± 0.030
Lower boundary = 0.381 - 0.030 = 0.351
Upper boundary = 0.381 + 0.030 = 0.411
(0.351 ; 0.411)
D.)
Confidence interval for people who don't think :
P = 553 / 1007 = 0.549
Confidence interval = P ± margin of error
Error margin at 95%
Margin of Error = Zcritical * √p(1-p)/n
1-p = 1 - 0.549 = 0.451
Zcritical at 95% = 1.96
Margin of error = 1.96 * √0.549(0.451)/1007
Margin of error = 0.031
P ± margin of error
P ± 0.031
Lower boundary = 0.549 - 0.031 = 0.518
Upper boundary = 0.549 + 0.031 = 0.580
(0.518 ; 0.580)
E.)
The interval with smaller error margin is ; 0.030 (those who think country is headed in the right direction because sample proportion is farther from .5 / farther from 1)
Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 108 disks are summarized as follows: Shock Resistance Scratch Resistance High Low High 55 10 Low 13 30 Let A denote the event that a disk has high shock resistance, and let B denote the event that a disk has high scratch resistance. If a disk is selected at random, determine the following probabilities. P(A)=86/100P(B)=79/100P(A')=7/50P(A U B)=95/100P(A' U B)= ???
Answer:
i) 0.63
ii) 0.37
iii) 0.37
iv) 0.77
v) 0.51
Step-by-step explanation:
Total resistance value = 108
A = high shock resistance
B = high scratch resistance
when a disk is selected at random
i) P(A) = P ( high shock resistance )
= ( 55 + 13 ) / 108
= 68/108 = 17/27 = 0.63
ii) P( B ) = P ( high scratch resistance )
= ( 10 + 30 ) / 108
= 40 / 108 = 10/27 = 0.37
iii) P(A') = 1 - P(A)
= 1 - 17/27 = 10/27 = 0.37
iv) P( A U B ) = P(A) + P(B) - P( A n B )
= 0.63 + 0.37 - 0.233
= 0.766 ≈ 0.77
v) P( A' U B ) = P(A') + P(B) - P(A n B )
= 0.37 + 0.37 - 0.233
= 0.507 ≈ 0.51
i need to know how to solve this
Answer:
C
Step-by-step explanation:
I think you have to call a = 14/32 and b = 7/4
3a = 3 * 14/32 = 42/32
b = 1 3/4 = (4 + 3)/4 = 7/4
42/32 // 7/4 Invert and multiply
42/32 * 4/7 Cancel 4 into 32 and 7 into 42
6/8 = 3/4
I make the answer C
Answer:
So the square seems to multiply the first number by three and then divide it by the second number.
So,
14/32 * 3
=
42/32
Simplify
21/16
And now for division, we flip the diveding fraction and multiply.
21/16 * 4/7
Which is after some fraction simplifing:
3/4
4 pillows and 5 quilts cost £53, 6 pillows and 5 quilts cost £57, find the cost of one each
Answer:
p=2
q=9
Step-by-step explanation:
4p+5q=53
6p+5q =57
20 POINTS- Marlene surveyed her classmates asking them whether they prefer to vacation during spring break or summer and the type of vacation preferred. The results are shown in the table.
Marlene surveyed her classmates asking them whether they prefer to vacation during spring break or summer and the type of vacation preferred. The results are shown in the table.
A 4-column table with 5 rows titled Vacation Preferences. Column 1 has entries beach, big city, camping, skiing, total. Column 2 is labeled spring with entries 35, 7, 14, 4, 60. Column 3 is labeled summer with entries 10, 2, 8, 10, 30. Column 4 is labeled total with entries 45, 9, 22, 14, 90.
Complete each statments.
About ____% of the students surveyed prefer a spring camping vacation.
About ____% of the students surveyed prefer a big city vacation.
Answer:
The answers for edge 2021 is
Step-by-step explanation:
16 and 10
HELP I HAVE TO PASS!
What is the average rate of change for this quadratic function for the interval from x=0 to x=2?
A) -4
B) -2
C) 2
B) 4
Answer:
At X = 0 Y = 10
At X = 2 Y = 6
Rate of change = change in Y / change in X = -4 / 2 = -2 or B
f h(x) = x – 7 and g(x) = x2, which expression is equivalent to (g circle h) (5)?
Answer:
here is your answer
Step-by-step explanation:
here is your answer
3(x - 4) = -3. Solve for x.
Answer:
x = 3
Step-by-step explanation:
3(x - 4) = -3
Divide by 3
3/3(x - 4) = -3/3
x-4 = -1
Add 4 to each side
x-4+4 = -1+4
x = 3
Answer:
x = 3
Step-by-step explanation:
Divide each term by 3 and simplify.
x - 4 = [tex]\frac{-3}{3}[/tex]
Cancel the common factor of 3 .
x - 4 = -1
Move all terms not containing x to the right side of the equation.
x = -1 + 4
Add -1 and 4.
x = 3
Hope this helps!
What's the area
5.1 5.1 5.1 ?
Answer:
Are you talking about the are of a 3d cube? then it would be 156.06 because you take the length times width to get the area of one side then multiply it by 6 to gets all the sides.
色
Find the area of the isosceles triangle.
13 cm
10 cm
Overview
Pythagoras' Theorem - An Algebraic Approac View One Minute Version
Answer:
area of an isosceles triangle=bh/2
Step-by-step explanation:
base=10
height=13
10×13/2
=65
Determine whether the given value is a statistic or a parameter. A homeowner measured the voltage supplied to his home on all 7 days of a given week,and the average​ (mean) value is 120.7 volts.
A. The given value is a parameter for the week because the data collected represent a population.
B. The given value is a statistic for the week because the data collected represent a population.
C. The given value is a statistic for the week because the data collected represent a sample.
D. The given value is a parameter for the week because the data collected represent a sample
Answer:
A. The given value is a parameter for the week because the data collected represent a population
Step-by-step explanation:
Parameters in a study refers to the numbers that are used to summarize the data for the entire population. Whereas, a statistic are used to summarize the data from a sample only.
In the context, it is given that a person measures the voltage supply to his home for all the seven days and finds the average value of the voltage. The homeowner here considers the population of his sample to make his study.
Thus it is a parameter for the entire week as the data represents a population.
1. Two-thirds of the sum of the number x and 5 is written
2x+5
a.
2
-x+ 5
3
b. §
(5x) <(x+5)
d.
e. x+ķ(x+5)
{(+5)
3
9514 1404 393
Answer:
cbaStep-by-step explanation:
This is as much about English comprehension as it is about math. When you read an English sentence, you need to figure out what each of the pronouns, phrases, and modifiers is referring to. When the sentence refers to math operations, you need to determine what each math operation is being applied to. In most cases, a math operation involves two operands, so the trick is to figure out what those are.
__
1. "Two-thirds of the sum ..." will look like 2/3( + ). "The sum of a number and 5" will look like (x+5). So, the words are describing ...
2/3(x +5) . . . . matches C
__
2. "Seven decreased by ..." will look like 7 -( ). "The quotient of a number and 3" will look like (n/3). So, the words are describing ...
7 -n/3 . . . . matches B
__
3. Consider the order of operations. When you evaluate 2x²+9, the last operation you perform is addition. That is, the result is a sum. One of the elements of that sum is 9 (the second one). The other element of that sum is the product 2x². The elements of that product are 2 and the square of x. So, one way to describe this expression is ...
the sum of the product of 2 and the square of a number, and 9.
The order of operations requires that squares be evaluated before multiplication and division, so it is not unreasonable (if slightly more ambiguous) to write this as ...
the sum of 2 times a number squared and 9 . . . . choice A
question- pls help me find the answer
Answer:
(d) -1
Step-by-step explanation:
Hope you have good grades and study well..btw make me as brainliest....ty sweetie
Whats the equavalent to log8 64+log8 8
What additional information do you need to prove triangle ABC ~ triangle JKL
Answer:
no additional information will help because the triangles are not similar
Step-by-step explanation:
Similar triangles have 3 pairs of congruent, corresponding angles.
Let's look at triangle ABC. Two angle measures are given: 51 deg and 63 deg.
180 - 51 - 63 - 66
The measure of the thrid angle is 66 deg.
One anlgle measure of triangle JKL is given. It is 66 deg.
Since <J is not congruent to any angle of triangler ABC, the triangles are not similar.
Answer: no additional information will help because the triangles are not similar
Identify the pairs of congruent angles and proportional corresponding side lengths
Answer:
∠B=∠D, ∠C=∠E, ∠A=F.
Step-by-step explanation
FE/AC=6/8=3/4, FD/AB=9/12=3/4,DE/BC=13.5/18=3/4. Since all proportions are equal to 3/4, the corresponding side lengths are proportional.
Which expression is equivalent to 3/x5y?
Answer:
option B
Step-by-step explanation:
[tex]\sqrt[3]{x^5 \ y} = (x^5 \ y )^\frac{1}{3} \ \ \ \ \ \ \ \ \ \ \ \ [ \ \sqrt[n]{x} = x^\frac{1}{n} \ \ , \ (xy)^a = x^a y^a]\\\\[/tex]
[tex]= x^{ (5 \times \frac{1}{3} )} \ y ^{\frac{1}{3} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ ( x^a )^b = x^{ab} \ ]\\\\\\[/tex]
[tex]= x^{\frac{5}{3} }\ y^{\frac{1}{3}}[/tex]
Calculate the BMI for a woman who is 165 cm tall and weighs 65 kg.
Find the Surface Area and the Volume.
Answer:
Surface area = 850 cm²
Volume = 1000 cm³
Step-by-step explanation:
Applying,
A = h(a+b+c+d)................ Equation 1
Where A = Surface area of the trapezoidal prism, a, b, c, d = length of the four sides the trapezium respectively, h = height of the prism.
From the diagram in the question,
Given: h = 25 cm, a = 6 cm, b = 14 cm, c = 7 cm, d = 7 cm
Substitute these values into equation 1
A = 25(6+14+7+7)
A = 25(34)
A = 850 cm²
From the volume,
V = A'h...................... Equation 2
Where A' = Area of the base.
From the diagram,
A' = 1/2(6+14)4
A' = 40 cm²
Therefore,
V = 40×25
V = 1000 cm³