Answer:
-4 = x
Step-by-step explanation:
g(x) = -X – 1
g(x) = 3
3 = -x-1
Add 1 to each side
3+1 = -x-1+1
4 = -x
Multiply by -1
-4 = x
In a batch of pedometers, are believed to be defective. A quality-control engineer randomly selects units to test. Let random variable Xthe number of defective units that are among the units tested. The probability mass function f(x)P(Xx) is given below. f(x){(0,), (1,), (2,), (3,)} Recall that the mean of a discrete random variable X with probability mass function f(x)P(Xx) is given by . Find for the probability mass function above. What does this number represent?
Answer:
The mean for the probability mass function is 0.64287.
Step-by-step explanation:
The complete question is:
In a batch of 28 pedometers, 3 are believed to be defective. A quality-control engineer randomly selects 6 units to test. Let random variable X = the number of defective units that are among the units tested.
The probability mass function f (x) is:
f (x) = {(0, 0.47009), (1, 0.42308), (2, 0.10073), (3, 0.00611)}
Solution:
The mean of a discrete random variable X with probability mass function f (x) is:
[tex]\mu=\sum\limits^{n}_{x=1}{x\times f(x)}[/tex]
Compute the mean for the probability mass function above as follows:
[tex]\mu=\sum\limits^{n}_{x=1}{x\times f(x)}[/tex]
[tex]=(0\times 0.47009)+(1\times 0.42308)+(2\times 0.10073)+(3\times 0.00611)\\=0+0.42308+0.20146+0.01833\\=0.64287[/tex]
Thus, the mean for the probability mass function is 0.64287.
This values represents the expected number of defective units for every 6 units tested.
Henry is playing a new game app where he needs to navigate through a maze without touching the walls. each player stars with 1,000 points, and 5 points are deducted each time a wall is touched.
What type of relationship most appropriately models this situation?
A. Exponential Decay
B. Linear Decrease
C. Exponential Growth
D. Linear Decrease
Answer:
Step-by-step explanation:
Linear decrease
The average person takes in 900 breaths per hour. How many breaths does an average person take in 6 hours?
A 1,500 breaths1,500 breaths
B 4,500 breaths4,500 breaths
C 5,400 breaths5,400 breaths
D 54,000 breaths54,000 breaths
Answer:
C 5,400 breaths
Step-by-step explanation:
900 breaths per hour x 6 hours = 5,400 breaths in 6 hours
A factory produces 150 plastic compounds per hour. How many components does the factory produce per minute?
Answer:
2.5 components but if you need to round 2
Answer:
150 per 60 mins would be 2.5 per 1 min
Step-by-step explanation:
150/60 = 2.5
5.
Evaluate f(x) = -2x2 -4 for x = 3.
O -10
O -18
10
-22
Answer:
-22
Step-by-step explanation:
f(x) = -2x^2 - 4 for x = 3
f(3) = -2(3)^2 - 4
f(3) = -2(9) - 4
f(3) = -18 - 4
f(3) = -22
Answer: -22
Answer:
-22
Step-by-step explanation:
6. Which of the following is true about the
graph of the equation y = -5x + 10?
A. The graph would increase from left to right.
B. The graph would pass through the origin.
C. The graph would have a positive y-intercept.
Answer:
C
Step-by-step explanation:
The graph would have a positive y-intercept
The y-intercept is when x = 0
To find the y-intercept, plug in 0 for x
y = -5(0) + 10
y = 0 + 10
y = 10
10 is a positive number
Y-intercept is positive
5b.) Use this equation to write the area A in terms of the perimeter p.
Joanne and Ed Greenwood built a new barn with an attached arena. To finance the loan, they paid $1,326 interest on $47,600 at 4%. What was the time, using exact interest? (Do not round intermediate calculations. Round up your answer to the nearest day.)
Answer:254 days
Joanne and Ed Greenwood built a new barn with an attached arena. To finance the loan, they paid $1,326 interest on $47,600 at 4%. What was the time, using exact interest? (Do not round intermediate calculations. Round up your answer to the nearest day.)
Step-by-step explanation
Note that
Interest is represented by I=1326
The principal is represented by P=47,600
Rate is R =4%
And Time is year
Interest is calculated using the formulae,
I =PRT/100
From the above formulae, time can be calculated as
T=100I/PR
T= 100×1326/(47600×4)
T= 132600/190400
T= 0.6964 years
To convert to days, multiply by 365(since those no of days make a year)
T= 0.6964×365=254 days
This was approximated to the nearest day
Answer is 254 days
Find the value of the expression below
8(15-4)/4^2-5
Answer:
8 IS YOUR ANSWERStep-by-step explanation:
HAVE A GREAT DAYWhat is the slope of a line perpendicular to the line whose equation is x−3y=12. Fully reduce your answer.
Answer:
m perpendicular = - 3
Step-by-step explanation:
To start with, we need to find the slope of the given line, by solving for y in the equation
x - 3 y = 12
x = 3 y + 12
x - 12 = 3 y
divide by 3 both sides:
y = x/3 - 12/3
y = (1/3) x - 4
then, the slope of the given line is 1/3, and according to the property of perpendicular lines, a perpendicular slope will be the 'opposite of the reciprocal" of the slope of the original line. That is: the value - 3.
Then the slope of the perpendicular line is: m = - 3.
Answer:
3
Step-by-step explanation:
PLS I NEED THIS LIKE TODAY
Consider an example of a deck of 52 cards:
The dealer in a card game draws 3 cards from a deck of 52 cards and places them face up on a table. Select all of the correct probabilities.
Answer:
please be more specific
△ABC and △CDE similar right triangles. The coordinates of all the vertices are integers.
A: The relationship between the slope of AC¯¯¯¯¯ and the slope of CE¯¯¯¯¯ cannot be determined, because the triangles are congruent.
B:The slope of AC¯¯¯¯¯ is equal to the slope of CE¯¯¯¯¯ . This this because ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is the same for AC¯¯¯¯¯ as for CE¯¯¯¯¯
C:The slope of AC¯¯¯¯¯ is greater than the slope of CE¯¯¯¯¯ . This is because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is greater for AC¯¯¯¯¯ than for CE¯¯¯¯¯ .
D:The slope of AC¯¯¯¯¯ is less than the slope of CE¯¯¯¯¯ . This is because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is less for AC¯¯¯¯¯ than for CE¯¯¯¯¯ .
Answer:
Option B.
Step-by-step explanation:
Slope of the line AC = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{\text{AB}}{\text{BC}}[/tex]
= [tex]\frac{4}{6}[/tex]
= [tex]\frac{2}{3}[/tex]
Slope of the line CE = [tex]\frac{\text{DC}}{\text{DE}}[/tex]
= [tex]\frac{2}{3}[/tex]
Therefore, slope of the line AC = Slope of the line AC
And this is because ratio of change in y-values of the endpoints to the change in x-values of the endpoints is the same for AC as for CE.
Option B. is the answer.
Line f has a slope of -3/4 line g is perpendicular to f. What is the slope of like g
Answer:
Slope of line g = [tex]1\frac{1}{3}[/tex]
Step-by-step explanation:
Line f has a slope of [tex]-\frac{3}{4}[/tex] Line g is perpendicular to f* Mathematics rule: If two lines are perpendicular to each other, then the product of their slopes is equal to -1 .
∴ [tex]-\frac{3}{4}[/tex] × slope of line g = -1
Slope of line g = -1 ÷ [tex]-\frac{3}{4}[/tex] = 4/3 = [tex]1\frac{1}{3}[/tex]
Which of the following is an example of an improper fraction?
A. 3
B. 9/5
C. 5/9
D. 1 1/2
what is the slope between the points (1,19) and (-2,-7) simplify
Need Help with this Appreciate!
Answer:
Whatever problem choice is equivalent to 2
Step-by-step explanation:
How many degrees is the measurement of the missing angle? (Only numeric answer, no words or symbols at all)
Answer:
The answer is 135
Step-by-step explanation:
all angles in a triangle equal to 180.
so, 25+22= 45
then, 180-45= 135
the missing angles measure is 135 degrees
hope this helps!
Which prime number do the prime factorization of 130 and 165 have in common?
Answer:
They both have the #5 and they both have 3 #'s that are prime?
Step-by-step explanation:
I need help please
−7x − 7y = −14 2x +7y = 19
Answer:
(-1, 3)
I hope this helps
if you could, feel free to mark me Brainliest it would be much appreciated :D
Ronnie buys 2 pairs of shoes for $50. Write an equation relating the total cost y to the number of pairs of shies x
what is the ratio of students to adults ? complete the statement the ratio of students to adults is ? 20 to 4 is the awnser
Answer:
20 to 4
Step-by-step explanation:
is the answer because it is the amount of students to adults.
4/5% of 192?
show work please
Answer:
153.60
Step-by-step explanation:
This will help you and make me burillan
Divide and write the answer in the simplest form:
110
1
10
÷ 512
5
12
=
124
1
24
311
3
11
625
6
25
120
Answer:
What?
Step-by-step explanation
now I'm confused
write it regularly
-f-6-2f=8
I need help
Answer:
f= -14/3
Step-by-step explanation:
-f-6-2f=8
(given)
-3f-6=8
(combine like terms)
-3f=14
(add 6 to both sides)
f= -14/3
A tennis racket normally costs $70. The tennis racket is on sale for 30% off. What is the sale price of the tennis racket?
Elaine drove 3 miles forward, then 3 miles backward. How many miles did she drive?
Answer:
6 miles
Step-by-step explanation:
3 plus 3= 6
Answer:
6 miles
Step-by-step explanation:
3 miles + 3 miles = 6 miles
put the following numbers in order from smallest to largest
548654
550654
1547521
1485554
1547656
1256441
995841
Answer: 548654, 550654, 995841, 1256441, 1485554, 1547521, and 1547656
Hope this helps
Jeremy's boss increased his salary from $8 per hour to $12 per hour. By
what percent did his hourly wages increase?
Answer:
1.5 percent
Step-by-step explanation:
-24+to the power of 3
Answer:
-13824
Step-by-step explanation:
