Answer:
14
Step-by-step explanation:
Find the product and fill in the blanks to write in standard complex number form.
Select all of the expressions that are equivalent to 6+12x
It is estimated that 52% of drivers text while driving.
A. What is the probability that exactly 3 drivers text while driving if a police officer pulls over five drivers?
B. What is the probability the next driver texting while driving that the police officer pulls over is the fifth driver?
Answer:
a) 0.324 = 32.4% probability that exactly 3 drivers text while driving if a police officer pulls over five drivers
b) 0.0276 = 2.76% probability the next driver texting while driving that the police officer pulls over is the fifth driver.
Step-by-step explanation:
For each driver pulled, there are only two possible outcomes. Either they are texting, or they are not. The probability of a driver being texting is independent of any other drivers. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
It is estimated that 52% of drivers text while driving.
This means that [tex]p = 0.52[/tex]
A. What is the probability that exactly 3 drivers text while driving if a police officer pulls over five drivers?
This is [tex]P(X = 3)[/tex] when [tex]n = 5[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{5,3}.(0.52)^{3}.(0.48)^{2} = 0.324[/tex]
0.324 = 32.4% probability that exactly 3 drivers text while driving if a police officer pulls over five drivers.
B. What is the probability the next driver texting while driving that the police officer pulls over is the fifth driver?
None of the first four([tex]P(X = 0)[/tex] when [tex]n = 4[/tex]), and then the fifth, with 52% probability. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.52)^{0}.(0.48)^{4} = 0.0531[/tex]
0.0531*0.52 = 0.0276
0.0276 = 2.76% probability the next driver texting while driving that the police officer pulls over is the fifth driver.
which one of the following piecwise graphs is not a function
Answer:
Perhaps this could be answered, if the graphs were included.
Step-by-step explanation:
Como usar el teorema de tales para sacar x
Answer:
trata de usar común un like para que puedes hacer frío
In the diagram below, line MN is a perpendicular bisector. Which of the following is true?
1. MT=MN
2.MS=MN
3.MT=MS
4.MN=QN
Answer:
MT is congruent to MS
Step-by-step explanation:
Answer:
[tex]MT[/tex]≅[tex]MS[/tex]
Step-by-step explanation:
Because line MN is a perpendicular bisector, and point on the bisector will be equidistant from the end points of the segment it bisects.
The Goodman Tire and Rubber Company periodically tests its tires for tread wear under simulated road conditions. To study and control the manufacturing process, 20 samples, each containing three radial tires, were chosen from different shifts over several days of operation, with the following results. Tread wear measurements are in hundredths of an inch. Sample Tread Wear 1 31 42 28 2 26 18 35 3 25 30 34 4 17 25 21 5 38 29 35 6 41 42 36 7 21 17 29 8 32 26 28 9 41 34 33 10 29 17 30 11 26 31 40 12 23 19 25 13 17 24 32 14 43 35 17 15 18 25 29 16 30 42 31 17 28 36 32 18 40 29 31 19 18 29 28 20 22 34 26 Assuming that these data were collected when the manufacturing process was believed to be operating in control, develop the R chart. Compute the upper and lower control limits for the R chart. (Round your answers to two decimal places.) UCL = LCL =
Answer:
LCL = 4.72
UCL = 18.08
Step-by-step explanation:
Sample size, n = 20
Sample _ tread wear, x __ Range
1 ______ 33.67 ___ 14
2______ 26.33 ___ 17
3 _____ 29.67 ____ 9
4 ______ 21 ______ 8
5 ______ 34 ______ 9
6 ______ 39.67 ___ 6
7 ______ 22.33 ___ 12
8 ______ 28.67 ___ 6
9 ______ 36 ______8
10 _____ 25.33 ___ 13
11 _____ 32.33 ____14
12 _____ 22.33 ___ 6
13 _____ 24.33 ___ 15
14 _____ 31.67 ___ 26
15 _____ 24 _____ 11
16 ____ 34.33 ____ 12
17 ____ 32 _______ 8
18 ____ 33.33 ____ 11
19 ____ 25 _______11
20 ___ 27.33 _____12
Sample mean, xbar = Σx / n = 29.167
Rbar = ΣR/ n = 11.4
The R chart control limit is given by :
Rbar(1 - 3(d3/d2))
From the R chart :
d3 = 0.729 ; d2 = 3.735
Hence,
LCL = 11.4(1 - 3(0.729/3.735))
LCL = 11.4(0.4144578) =
LCL = 4.72481892 = 4.72
UCL = 11.4(1 - 3(0.729/3.735))
UCL = 11.4(1.5855421)
UCL = 18.075180 = 18.08
1 point
5. Aaron drew a map showing the locations of two cities, Oden and Lundy,
on a grid. Aaron drew a straight line from Oden to Lundy. Which of the
following is closest to the distance between Oden and Lundy along the
straight line? *
Please help quickly!!
Answer:
10 miles
Step-by-step explanation:
Given
The attached grid
Required
The distance between Oden and Lundy
See attachment for modified grid
From the newly attached grid, we have:
[tex]d^2 = 6^2 + 8^2[/tex] ---- Pythagoras theorem
This gives:
[tex]d^2 = 36 + 64[/tex]
[tex]d^2 = 100[/tex]
Take positive square roots of both sides
[tex]d = \sqrt{100[/tex]
[tex]d = 10[/tex]
Hence, the distance is 10 miles
Find the mode of the data. 65, 65, 60, 62, 60, 69, 60, 68, 63, 66 mode =
Answer:
60
Step-by-step explanation:
The mode is the value which occurs the most in the set. We see that 60 occurs three times, 62 occurs once, 63 occurs once, 65 occurs twice, 66 occurs once, 68 occurs once, and 69 occurs once.
Thus, the mode is 60.
Answer:
The mode is 60
Step-by-step explanation:
The mode is the number that appears most in the set of data. 60 appears the most, appearing 3 times.
pls help PLS PLS PLS PLS
20 POINTS
Answer:
Step-by-step explanation:
X squared over 6
+
2x cubed over 3
Answer:
x^2/6 + 2x^3/3
Step-by-step explanation:
I used (m)athway to simplify the expression
The amount of orange juice in a bottle is modeled by the equation y=128-8x, where y is the number of ounces of juice in the bottle, and x is the number of servings or juice poured from the bottle.
How many servings are in a bottle?
Answer:
There are 16 servings in the bottle.
Step-by-step explanation:
The equation for the amount of juice left in the bottle is:
y = 128 - 8*x
Where x is the number of servings of juice poured from the bottle.
The total number of servings that are in the bottle is the value of x such that we have y = 0 (because in that point, we do not have more juice left)
Then we need to solve:
y = 0 = 128 - 8*x
8*x = 128
now we can just divide both sides by 8
x = 128/8 = 16
There are 16 servings in the bottle.
If 79.5% of married couple households are both native and 13.2% are both foreign, then (a) what percentage of married couple households are one native, one foreign
Answer:
The correct solution is "7.3%".
Step-by-step explanation:
It seems that the given question is incomplete. Find below the attachment of the complete and appropriate query.
According to the question,
The total married couples are,
= 55,550,000
where,
Both native = 79.5%
Both foreign = 13.2%
Now,
The percentage of couple that is one native as well as one foreign will be:
= [tex]100-79.5-13.2[/tex]
= [tex]7.3[/tex] (%)
¿Qué es el Círculo Unitario
Answer:
In mathematics, a unit circle is a circle of unit radius—that is, a radius of 1. Frequently, especially in trigonometry, the unit circle is the circle of radius 1 centered at the origin in the Cartesian coordinate system in the Euclidean plane.
Step-by-step explanation:
Answer:
El círculo unitario se divide en 4 partes, denominadas cuadrantes. El primer cuadrante (I) está formado por los ejes xey positivos. El primer cuadrante (I) está formado por los ejes xey positivos. Si dibujamos cualquier radio del círculo unitario en el primer cuadrante, el ángulo con el eje x positivo puede tener cualquier valor entre 0 y 90 °.
How do you write the inverse of the conditional statement belo "'If m<1 = 60°, then <1 is acute. " If m<1 = 60° then <1 is not acute. b If <1 is not acute, then m<1 = 60°. If <1 is acute, then m<1 = 60°. If m <1 = 60° then <1 is not acute.
Answer:
d
Step-by-step explanation:
The inverse of a conditional statement, makes both the hypothesis and conclusion or "p" and "q" negative. In other words, it adds a not to both sides.
So the inverse of "If p, then q" would be "If not p, then not q."
"If the measure of angle 1 does not equal 60 degrees, then angle 1 is not acute."
(√2)^3
[tex] (\sqrt{2) {?}^{3 \\} [/tex]
[tex]\sf \left(\sqrt{2}\right)^3\\\\\\\\\boxed{\sf \mathrm{Apply\:radical\:rule}:\quad \sqrt{a}=a^{\frac{1}{2}}}\\\\\\\\\sf \left(2^{\frac{1}{2}}\right)^3\\\\\\\\\boxed{\sf\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc} }\\\\\\\\\sf \sf 2^{\frac{1}{2}\cdot \:3}\\\\\\\\\sf 2^{\frac{3}{2}}\\\\\\\\\sf 2^{\frac{3}{2}}=2^{1+\frac{1}{2}}\\\\\\\\\sf 2^{1+\frac{1}{2}}\\\\\\\\\boxed{\sf \mathrm{Apply\:exponent\:rule}:\quad \:x^{a+b}=x^ax^b}\\\\\\\\\sf[/tex]
[tex]\sf 2 ^1\cdot \:2^{\frac{1}{2}}\\\\\\\\\boxed{\sf \mathrm{Refine}}\\\\\\\\\boxed{\sf =2\sqrt{2}}[/tex]
Applicants for the University of Statland take two tests, one for writing ability and the other on critical thinking, and normalised scores are recorded on each between 0 and 1. For a given applicant, let XX be the score on the writing test and YY the score on the critical thinking test. A model for the joint probability density function for the two test scores can be taken as:
Answer:
hello your question is incomplete attached below is the complete question
answer : 1
Step-by-step explanation:
Given Function:
F(x,y)=[tex]\left \{ {{1/4(2x+y)} \atop {0}} \right.[/tex] for 0<x<1, 0<y<2
elsewhere.
Evaluating the marginal density of the writing test score at point
X = 1/2 = 1/4 ( 4x + 2 ) = 1/4 ( 4 * 1/2 + 2 ) = 1
attached below is the detailed solution
On a number line, 8.78 would be located . Check all that apply. A. between 8 and 9 B. to the right of 8.63 O C. between 7 and 8 D. to the left of 8.71
9514 1404 393
Answer:
A. between 8 and 9
B. right of 8.63
Step-by-step explanation:
See the attached. Numbers increase to the right, so 8.78 is right of both 8.63 and 8.71. The ones digit is 8, so 8.78 is between 8 and 9.
Rene is in the band. As a part of a fund raiser, she is selling tickets to a spaghetti dinner. The tickets cost $8 for adults and $5 for children. If Rene sold 100 total tickets for a total of $611, how many adult tickets did she sell?
Answer:
76 or 63
Step-by-step explanation:
Given: The tickets cost; Adults = $8, children = $5. Rene sold 100 total tickets for a total of $611
To find: How many adult tickets she sold
Solution: To find how many adult tickets Rene sold, divide the total amount of money made by selling the tickets by the cost for adult tickets
611 ÷ 8 = 76.4
In the closest tens place, Rene sold is 76 adult tickets or even 63
The sum of the measures of the angles of a quadrilateral is 360°. Quadrilateral JKLM has one right angle. Use angle relationship and the measures given to find the measures of the angle K.
Answer:
Angle k is equal to 110°
Step-by-step explanation:
Because they are alternating angles
What is the value of x?
Answer:
value we donnot know so we try to find it by equations
Answer:
Any number of possibilities...
Step-by-step explanation:
are these proportional or no
Answer:
The 2nd box is the 1st box is not
Step-by-step explation:
it just is thi sway
Answer:
nooe!
Step-by-step explanation:
the first set ads up to 133/120 whike the second ads up to 2 so they aren't :)
5 liters of water weighs 11 pounds. A bucket contains 143 pounds of water. How many liters of water are in the bucket
Answer:
65 liters
Step-by-step explanation:
11/5=2.2
143/2.2=65
FREE BRANLIEST IF YOU GIVE RIGHT ANSWER WITH EXPLANATION!!!!!!!!!!! (wrong answers or incomplete answers will be tolerated and reported)
Answer:
600W = C
Step-by-step explanation:
First we must identify the relationship between weight of gold and cost of gold.
We can do this by dividing cost by corresponding weight.
7200 / 12 = 600
13200 / 22 = 600
19200 / 32 = 600
each proportion has an outcome of 600
Therefore Cost = Weight times 600 or C = 600W
pls answer quick, I need an answer.
Steve bought a triangular mat to cover a corner of his room.
What is the opposite of dividing by 19? A. multiplying by 19 B. subtracting 19 C. dividing by 19 D. adding 19
There are risks associated with drinking potable water.
Please select the best answer from the choices provided
Answer:
Where are the choices? There is no choices
Show all steps 2a=22
Answer:
Hello! answer: a = 11
Step-by-step explanation:
2 × 11 = 22 So therefore a = 11 HOPE THAT HELPS!
Hellppppppp pleaseeeeeee
Answer:
10^9/10^5
Step-by-step explanation:
2^3 = 8 x 2^6= 64 8 x 64 = 512
This is equal 10^9 / 5 ^ 9
20. A biologist studied the populations of geckos and salamanders at Huntington Beach State Park over
a five year period. The biologist modeled the populations, in thousands, with the following polynomials
where x is time, in years.
Geckos: 9.7 x 2 - 0.8x + 2.3
Salamanders: -1.1 x2 + 7.7 x + 5.4
Which of the following polynomials models the total number of geckos and salamanders at Huntington Beach State Park?
Answer: b
Step-by-step explanation:
It is known that when a specific type of radish is grown in a certain manner without fertilizer the weights of the radishes produced are normally distributed with a mean of 40g and a standard deviation of 10g. When the same type of radish is grown in the same way except for the inclusion of fertilizer, it is known that the weights of the radishes produced are normally distributed with a mean of 140g and a standard deviation of 40g. Determine the proportion of radishes grown
Answer: hello your question is incomplete below is the missing part
Determine the proportion of radishes grown without fertilizers with weight less than 50grams
answer : p( x < 50 ) = 0.84
Step-by-step explanation:
Radish grown in without fertilizers ( normally distributed )
mean = 40 g
standard deviation = 10 g
Radish grown with fertilizers ( normally distributed )
Mean = 140 g
standard deviation = 40 g
Determine the proportion of radishes grown without fertilizers with weight less than 50 grams
lets assume x = radish without fertilizers
y = radish with fertilizers
hence
p( x < 50 ) = P ( (x-μ / б) < [tex]\frac{50-40}{10}[/tex] )
= p ( z < 1 ) = 0.5 + p ( 0 < z < 1 )
p( x < 50 ) = 0.5 + 0.3413 = 0.8413
attached below is the distribution related to this solution
how to find the length of EF?
[tex]CD = \frac{HG + EF}{2} \Leftrightarrow EF = 2CD - HG[/tex]
[tex]2x - 2 = 2x - x + 3\\2x - 2x + x = 3 + 2\\x = 5[/tex]
[tex]EF = 2 * 5 - 2 = 10 - 2 = 8[/tex]
Answer: 8.
Answer:
EF=8
Step-by-step explanation:
HG=x-3
CD=x
EF=2x-2
Since HG is 3 less than CD, EF has to be 3 more than CD
x+3=2x-2
3+2=2x-x
5=x
x=5
HG=2
CD=5
EF=8