Based on the information in the table, an example of independent events is the: P(policer officer and chooses car).
What is an independent event?An independent event can be defined as an event that isn't dependent on other events. Thus, it isn't affected by any previous event.
Based on the information provided, we can infer and logically deduce that an example of independent events is the probability of being a policer officer and chooses a car because they aren't overlapping probabilities.
Read more on independent events here: https://brainly.com/question/26795996
#SPJ1
find (f•g) (k) equations in red letters
The answer is (f . g)(x) = - (34k + 17k⁷ + 17k⁵ + 40k³ + 20k² + 60).
Remember that :
(f . g)(x) = f(x) × g(x)
Hence :
(f . g)(x) = (2k³ + k² + 3)(-17k⁵ - 20)(f . g)(x) = -34k⁸ - 17k⁷ - 17k⁵ - 40k³ - 20k² - 60(f . g)(x) = - (34k + 17k⁷ + 17k⁵ + 40k³ + 20k² + 60)
Are the ratios 2:1 and 14:6 equivalent?
yes
no
Three times got the prize money worth $126,000. the first friend would get three times the amount of the third friend's portion. the third friend would get twice the amount of the second friend's portion. determine the amount that each friend would receive.
128000.
Let the three frithe ends x, y, z x is the first friend y is secmy ond friend
z is third friend
X+y+z=128000
x=4z
z=3y
x=4(3y)=12y put values of x and z in the first equation we got
12y+y+3y=128000
16y=128000
= 128000 - = 8000 16
Put the y value in equation 3 wee got
z=3*8000=24000
Put the z value in equation 2 we got
x=4*24000=96000
8000+24000+96000=128000.
Learn more about equations at
https://brainly.com/question/2972832
#SPJ4
Find the missing values
Answer:
5
Step-by-step explanation:
5×(-4)=20
5×3=15
5×0.5=2.5
5×5=25
5×0=0
5×(-2)=-10
What is the missing letter in the pattern below?
t, s, r, q, _, o, n, m,...
A. u
B. p
C. l
D. v
The missing letter is p. The correct option is B. p
Letter patternFrom the question, we are to determine the missing letter in the given pattern
The given pattern is
t, s, r, q, _, o, n, m,...
Consider the English alphabet
a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z.
If we study the pattern, we will realize that the alphabets are in the reverse order.
Hence, the missing letter is p. The correct option is B. p
Learn more on Letter pattern here: https://brainly.com/question/2845817
#SPJ1
Directions: The soccer team at your school wants to spray paint a design on the middle of the
playing field. The design will include this soccer ball. You have been asked to enlarge the drawing of
this ball to use for the painting on the field. Using the Text Editor and information you learned in this
Unit, write a brief essay in which you explain how to accurately enlarge or reduce the size of objects
such as the soccer ball. Include the steps that should be taken in order to complete a project like this,
and use concepts discussed in this Unit to support your plan. For example, you may want to include
scale factor, proportions, dilations, and similarity.
The steps that can be used to increase the ball is:
Scale factor = [tex]\frac{Scale diagram}{Original}[/tex]
What is Scale Factor?This refers to the measure for similar figures that is used to show the scale through which a figure is bigger or smaller than another.
Hence, we can see that from the given image, one can increase the size of the ball by making use of the scale factor which measures the scale diagram and then divides it from the original and this would retain the dimension but would make it larger.
Read more about scale factors here:
https://brainly.com/question/2826496
#SPJ1
A region in the first quadrant is bounded by the graph y equals two thirds times x, the y-axis, and the horizontal line y
By definite integrals and area formula of a rectangle, we find that the area of the region in the first quadrant is 147 / 4 square units.
How to calculate the area of the region by definite integrals
Integrals can be used to determine the area of regions bounded by curves set on Cartesian plane. The upper limit of the integral of the question is initially found:
(2 / 3) · x = 7
x = 21 / 2
The area can be defined as an rectangle in the first quadrant minus the area below the linear equation:
[tex]A = \left(\frac{21}{2} \right) \cdot (7) - \frac{2}{3} \int\limits^{\frac{21}{2} }_{0} {x} \, dx[/tex]
[tex]A = \frac{147}{2} - \frac{1}{3} \cdot \left[\left(\frac{21}{2} \right)^{2}-0^{2}\right][/tex]
A = 147/4
By definite integrals and area formula of a rectangle, we find that the area of the region in the first quadrant is 147 / 4 square units.
Remark
The statement is poorly formatted and incomplete. Correct form is shown below:
A region in the first quadrant is bounded by the line y = (2/3) · x, the y-axis and the horizontal line y = 7. Determine the area of the region.
To learn more on definite integrals: https://brainly.com/question/14279102
#SPJ1
Which fractions are equal to 2/3?
Check all that are true.
1
3
6
9
4
6
1
6
3
2
Answer:
It's the correct answer
PLEASE MARK AS BRAINLIEST
Step-by-step explanation:
Equivalent fractions of 2/3 : 4/6 , 6/9 , 8/12 ,
THX
Don't forget to mark me as brainliest
Suppose the average commute time of your employees is unknown. The standard deviation of their commute time is estimated as 24.5 minutes. How many employees must be included in a sample to create a 90 percent confidence interval for the average commute time with a confidence interval width of no more than 13 minutes
The number of employees is 91.
According to the statement
Given that the standard deviation = 24.5
The width in the question = 13
We solve for the margin of error E.
E = width / 2
E= 13/2 = 6.5
At 90%
Alpha = 1-0.90
= 0.1
Alpha/2 = 0.1/2 = 0.05
Z 0.05 = 1.576
Now find the Sample size n
= ((1.576x24.5)/2)²
= 90.8
= 91
So, The number of employees is 91.
Learn more about INTERVAL here https://brainly.com/question/18608839
#SPJ4
A sculpture is formed from a square-based pyramid resting on a cuboid. The base of the cuboid and the base of the pyramid are both squares of side 3 cm. The height of the cuboid is 8 cm and the total height of the sculpture is 15 cm. The total mass of the sculpture is 738 g. The cuboid-part of the sculpture is made of iron with density 7.8 g/cm³. The pyramid is made from copper. Calculate the density, in g/cm³, of the copper.
Answer:
7.8g/cm
Step-by-step explanation:
A safe has a 4-digit lock code that does not include zero as a digit and no digit is repeated. what is the probability that the lock code consists of all even digits?
Probability that the lock code consists of all even digits is [tex]1344[/tex] if we choose the [tex]4[/tex] digit lock is randomly from numbers [tex]1,2,3,4,5,6,7,8,9[/tex]
How can we find the probability that the lock code consists of all even digits?
Total numbers are [tex]1,2,3,4,5,6,7,8,9[/tex]
And we choose [tex]4[/tex] digit code
So probability of choosing [tex]4[/tex] numbers from [tex]9[/tex] numbers without reapitation is
[tex]9p_{4} =\frac{9!}{(9-4)!} \\=\frac{9*8*7*6*5!}{5!} \\=3024[/tex]
For All numbers are even , probability the last digit of number is even.
So we have [tex]4[/tex] even number and if we fix one on last digit and can change other [tex]3[/tex] then the probability is
[tex]4*8P_{3} =4*\frac{8!}{(8-3)!} \\=4*\frac{8*7*6*5!}{5!} \\=1344[/tex]
So the total probability of code lock having all even number is [tex]1344[/tex]
Learn more about the probability is here :
https://brainly.com/question/28048708
#SPJ4
Given a population mean of 56.7, a standard deviation of 4.3, and a sample size of 260, what is the standard error of the mean? round
your answer to the nearest hundredth.
the standard error of the mean is approximately___.
The standard error of the mean, rounded to the nearest hundredth is 0.27
What is standard error of mean?The standard error of the mean (SEM) calculates how big of a difference there is between the mean of a sample and the mean of the population.
The square root of the sample size is divided by the standard deviation in order to obtain the Standard error of mean.
Always, standard error of mean will be smaller than standard deviation.
But a statistical inference based on the sampling distribution is part of the Standard error of mean definition.
According to the question,
Population Mean=56.7
Standard Deviation=4.3
Sample Size=260
Standard Error of mean=4.3/[tex]\sqrt{260}[/tex]
=4.3/16.1245
=0.27
Learn more about standard error of mean here:
https://brainly.com/question/22554353
#SPJ4
Answer:
0.27
Step-by-step explanation:
Plato/Edmentum
Volume=
Help me please thanks so much :)
The volume of the oblique cylinder is 6867.18 cubic units
How to determine the volume?The given parameters are:
Height = 27
Radius = 9
The volume is calculated as:
[tex]V = \pi r^2 h[/tex]
So, we have:
[tex]V = 3.14 * 9^2 * 27[/tex]
Evaluate
V = 6867.18
Hence, the volume of the oblique cylinder is 6867.18 cubic units
Read more about volumes at:
https://brainly.com/question/1972490
#SPJ1
Work out the area of the triangle.
Answer:
555.75m²Step-by-step explanation:
Triangle Area = 1/2b*h
1/2 57 * 19.5 =
28.5 * 19.5 =
555.75m²
Determine the explicit formula for the sequence 4, 7, 14, 25
Step-by-step explanation:
You already know that we use tn=an²+bn+c for these kinds of sequences:
4, 7, 14, 25, ...
7–4=314–7=7now
7–3=4
So 2a=4===> a=2
[tex] a_{1} = 4 = = > n = 1 \\ 4 = 2 \times {1}^{2} + b + c = = = = > \\ b + c = 2[/tex]
[tex] a_{2} = 7 = = > n = 2 = = = > \\ 7 = 2 \times {2}^{2} + 2 \times b + c = = = > \\ - 1 = 2b + c[/tex]
b+c=22b+c=–1b=–3, c=5
So the final result is:
[tex] t_{n} = 2 {n}^{2} - 3n + 5[/tex]
A paragraph proof
uses inductive reasoning to prove a statement.
contains a table with a logical series of statements and reasons.
uses a visual chart of the logical flow of steps needed to reach a conclusion.
contains a set of sentences explaining the steps needed to reach a conclusion.
A paragraph proof D. contains a set of sentences explaining the steps needed to reach a conclusion.
What is a paragraph proof?It should be noted that a paragraph proof simply means a way of presenting a mathematical proof.
In this case, it contains a set of sentences explaining the steps needed to reach a conclusion.
In conclusion, the correct option is D.
Learn more about proof on:
brainly.com/question/17888884
#SPJ1
Answer:
D: contains a set of sentences explaining the steps needed to reach a conclusion.
Tara has read 95%, percent of the books she owns. if tara owns 160 books, how many of her books has she not read?
Answer:
8 books have not been read.
Step-by-step explanation:
Let X be the number of books Tara owns.
We learn that she has read 95%, which would mean (0.95)*(X) have already been read.
5% have not been read. 5% 0f 160 books equals (0.05)*(160) = 8 books have not been read. Impressive.
help me please im in a rush
Answer:
The answers are in the image
Step-by-step explanation:
The solutions are in the image
The function of f(x) = 3x + 6,000 represents the amount of money a tablet is being sold for, where x is the number of tablets being manufactured. The function g(x) = 20x - 400 represents the cost of production, where x is the number of tablets being manufactured. The function g(x) = 20x - 400 represents the cost of production, where x is the number of tablets being manufactured. What is (f - g)(300)? Explain.
A. $1,300 is the cost of manufacturing 300 tablets
B. $12,500 is the cost of manufacturing 300 tablets.
C. $1,300 is the profit made from 300 tablets.
D. $12,500 is the profit made from 300 tablets.
Answer:
(f - g)(300) = $1,300 is the profit made from 300 tablets
Step-by-step explanation:
(f - g)(300) is the profit made from 300 tablets
(f - g)(x) = (3 x + 6,000) - (20 x - 400)
- Simplify it
(f - g)(x) = 3 x + 6,000 - 20 x + 400
- Add like terms
(f - g)(x) = -17 x + 6,400
Substitute x by 300
(f - g)(300) = -17(300) + 6,400
(f - g)(300) = -5,100 + 6,400
(f - g)(300) = $1,300
The profit is $1,300
Solve √5r - 9 - 3 = √r +4-2
Answer:
r = 5
Step-by-step explanation:
Solving radical equations often results in extraneous solutions. These can be avoided by using a graphing calculator for the solution.
GraphThe attached shows that the value of r that makes both sides of the equation have the same value is r = 5.
Check:
√(5·5 -9) -3 = √(5 +4) -2 ⇒ 4 -3 = 3 -2 . . . true
Analytical solutionSolution of an equation like this is typically done by isolating the radical expressions, then squaring the equation.
We can add 3, square the equation, then isolate the radical and square again:
[tex]\displaysyle \sqrt{5r-9}-3=\sqrt{r+4}-2\\\\\sqrt{5r-9}=\sqrt{r+4}+1\qquad\text{add 3}\\\\5r-9=(r+4)+2\sqrt{r+4}+1\qquad\text{square both sides}\\\\(4r-14)^2=4(r+4)\qquad\text{subtract $(r+5)$ and square again}\\\\16r^2-116r+180=0\qquad\text{rewrite in standard form}\\\\4(4r -9)(r -5) = 0\qquad\text{factor}\\\\r=\{\dfrac{9}{4},\ 5\}\qquad\text{solutions to the factored form}[/tex]
Trying these values in the original equation, we get ...
√((5(9/4) -9) -3 = √(9/4 +4) -2 ⇒ 1.5 -3 = 2.5 -2 . . . . . false
√(5(5) -9) -3 = √(5 +4) -2 ⇒ 4 -3 = 3 -2 . . . . . true
The solution is r = 5.
Translate the following into an algebraic expression:
22 decreased by y%
Answer:22-0.22y
Step-by-step explanation: we have to decrease 22 by y%
we need to calculate what is y% of 22. y% of 22 simply means y% into 22 that is y% x 22
= 0.01(y) x 22
= 0.22y
= 22 - 0.22y
Juan needs to rewrite this difference as one expression. First he factored the denominators. What step should Juan take next when subtracting these expressions
The next step Juan will take is to multiply the second fraction by (x-2)/(x-2).
Given that Juan needs to rewrite this difference as one expression (3x/(x²-7x+10))-(2x/(3x-15)) and factor the denominator as (3x/(x-2)(x-5))-(2x/3(x-5)).
An algebraic expression in mathematics is an expression composed of variables and constants and algebraic operations (addition, subtraction, etc.). Expressions are made up of concepts.
The given expression is (3x/(x²-7x+10))-(2x/(3x-15))
Firstly, we will factored the denominator as
(3x/(x-2)(x-5))-(2x/3(x-5)).
Now, we will multiply and divide the second fraction by (x-2), we get
(3x/(x-2)(x-5))-((2x(x-2))/3(x-5)(x-2)).
Hence, the next step when subtracting these expressions (3x/(x-2)(x-5))-(2x/3(x-5)) is multiply the second fraction by (x-2)/(x-2).
Learn more about algebraic expression from here brainly.com/question/4344214
#SPJ4
Suppose the probability that a Wide Receiver catches a ball thrown to him is 0.9. Let X model the number of catches he has if he is targeted 8 times in a game. What is the mean number of balls you would expect him to catch
Using the binomial distribution, the mean number of balls you would expect him to catch is of 7.2.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
For this problem, the parameters are:
n = 8, p = 0.9.
Hence the mean is:
E(X) = np = 8 x 0.9 = 7.2.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
#SPJ1
Erin tried to evaluate an expression step by step.
8 x 2 x 5
Step 1
=8×2×5
Step 2
=8×(2×5)
Step 3
=16×10
Answer
=160
Find Erin's mistake.
Need Answer Soon As Possible Please!
Answer:
step 2
Step-by-step explanation:
Erin's mistake is in step 2 it should be 8*2 first and 16* 5 which equals to 86
given that f.x 3x-2 over x+1 g[x] x +5 evaluate f[-4] and gf [-2]
The value of f[ -4 ] and g°f[-2] are [tex]\frac{14}{3}[/tex] and 13 respectively.
What is the value of f[-4] and g°f[-2]?Given the function;
[tex]f(x) = \frac{3x-2}{x+1}[/tex][tex]g(x)=x+5[/tex]f[ -4 ] = ?g°f[ -2 ] = ?For f[ -4 ], we substitute -4 for every variable x in the function.
[tex]f(x) = \frac{3x-2}{x+1}\\\\f(-4) = \frac{3(-4)-2}{(-4)+1}\\\\f(-4) = \frac{-12-2}{-4+1}\\\\f(-4) = \frac{-14}{-3}\\\\f(-4) = \frac{14}{3}[/tex]
For g°f[-2]
g°f[-2] is expressed as g(f(-2))
[tex]g(\frac{3x-2}{x+1}) = (\frac{3x-2}{x+1}) + 5\\\\g(\frac{3x-2}{x+1}) = \frac{3x-2}{x+1} + \frac{5(x+1)}{x+1}\\\\g(\frac{3x-2}{x+1}) = \frac{3x-2+5(x+1)}{x+1}\\\\g(\frac{3x-2}{x+1}) = \frac{8x+3}{x+1}\\\\We\ substitute \ in \ [-2] \\\\g(\frac{3x-2}{x+1}) = \frac{8(-2)+3}{(-2)+1}\\\\g(\frac{3x-2}{x+1}) = \frac{-16+3}{-2+1}\\\\g(\frac{3x-2}{x+1}) = \frac{-13}{-1}\\\\g(\frac{3x-2}{x+1}) = 13[/tex]
Therefore, the value of f[ -4 ] and g°f[-2] are [tex]\frac{14}{3}[/tex] and 13 respectively.
Learn more about composite functions here: https://brainly.com/question/20379727
#SPJ1
If the farmer isn't present, the fox cannot be left with either the dog or the goose, or both. if need be, the goose can be left with the grain provided the dog is present because the dog will guard the grain and won't eat the goose. help the farmer cross the river.
Answer:
See below
Step-by-step explanation:
Take fox across
go back to get goose
take goose across
take fox BACK
grab dog.....take dog across
go back get grain and take it across
go back get fox and take it across
In a sample of 16 employees randomly selected at a company, the average age is 25 years and the standard deviation is 2 years. We want to test if the average age of all employees is greater than 24. If ages are normally distributed in the population, using a significance level of 0.05, we can claim that the population mean is: Group of answer choices
If ages are normally distributed then using a significance level of 0.05 , we can claim that the population mean is greater than 24.
Given sample mean of 25 years , sample size of 16 ,standard deviation of 2 years.
We have to find whether the population average is greater than 24.
We have to use t test because n is less than 30. It is right tailed.
We have to first form Hypothesis.
[tex]H_{0}[/tex]:μ>24,
[tex]H_{1}[/tex]:μ<24.
t=X-μ/S/[tex]\sqrt{n}[/tex]
t critical at 5% significance level and degree of freedom=15 (16-1)=1.7531
t=24-25/2/[tex]\sqrt{16}[/tex]
=-1/0.5
=-2
Because 1.7531 is greater than -2 so we will accept the null hypothesis.
Hence we can say that the average of population is greater than 24.
Learn more about t test at https://brainly.com/question/6589776
#SPJ4
Question 1
Which equation represents the relationship shown in the table
at the right?
Answer:
Step-by-step explanation:
b = a + b table chart what equation represents the relationship between a and b shown in the table .
A relationship between two variables in which the variables vary in the opposite direction (i.e., one increases while the other decreases, or vice versa) is referred to as a:
A relationship between two variables in which the variables vary in the opposite direction (i.e., one increases while the other decreases, or vice versa) is referred to as a negative correlation.
What is negative correlation?When two variables move in opposite sizes and directions from one another, so that when one increases, the other drops, and vice versa, this is referred to as having a negative correlation or inverse correlation.
In order for investors to profit from price increases in some assets when others decline, negative correlation is used when building diverse portfolios.
Over time, the correlation between two variables might change significantly. Bonds and stocks typically have negative correlation.
Learn more about negative correlation here:
https://brainly.com/question/16913516
#SPJ4
some one help me please
Answer:
(0,3)
Step-by-step explanation:
The y-intercept is the point where the line touches the y-axis and x is 0.
Answer:
(0,3)
Step-by-step explanation:
The y-intercept is when the line crosses the y-axis, in this case the point is at (0,3)