(-b±√(b²-4ac))/(2a)
Answer:
x=120±6434−−−√
x=−4.996
x=244.996
Find the Solution for
−125x2+30000x+153000=0
using the Quadratic Formula where
a = -125, b = 30000, and c = 153000
x=−b±b2−4ac−−−−−−−√2a
x=−30000±300002−4(−125)(153000)−−−−−−−−−−−−−−−−−−−−−√2(−125)
x=−30000±900000000−−76500000−−−−−−−−−−−−−−−−−−−√−250
x=−30000±976500000−−−−−−−−√−250
The discriminant b2−4ac>0
so, there are two real roots.
Simplify the Radical:
x=−30000±1500434−−−√−250
x=−30000−250±1500434−−−√−250
Simplify fractions and/or signs:
x=120±6434−−−√
which becomes
x=−4.996
x=244.996
rolling an odd number on a six-sided die with its expected probability?
Answer:
The probability when rolling a regular six-sided dice that the score is an odd number is three-sixths or three out of six. Both three and six are divisible by three. Therefore, this fraction could be simplified to one-half. Three divided by three is equal to one.
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.
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.
[tex]3/11 divided by 44[/tex]
Answer:
3/484
Step-by-step explanation:
3/11 ÷ 44
~Turn whole number into a fraction and use copy dot flip
3/11 ÷ 44/1
3/11 * 1/44
3/484
Best of Luck!
(√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]
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
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:
increase 53.20 by 7%
Answer:
56.924
Step-by-step explanation:
Step-by-step explanation:
Change the problem into something you recognize
7% = 7 x 10^-2 = 0.07
Multiply by this decimal
53.20 x 0.07 = a
Then add this to the original
53.20 + a
look at pic 10 pts will mark brainilest
C: ( 9 x 18) + (6 x 2)
D: (20 x 6) + (18 x 3)
E: (20 x 9) - (3 x 2)
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
(25points) Which of the following is the ratio of the area of the shaded region to the total area of the square
a)1/2
b)1/3
c)3/8
d)3/4
Answer:
C
Step-by-step explanation:
We want to find ratio of the area of the shaded region to the total area of the square.
First, we can find the total area of the square. Since QR = 7, each side of the square measures 7. Therefore, its area is:
[tex]A=(7)^2=49\text{ units}^2[/tex]
Instead of finding the shaded area, we can find the areas that are not shaded. Subtracting that into the total area will then give us the shaded area.
QRP is a triangle. Since PQRS is a square, QR = 7 = RS = SP = PQ.
So, the area of ΔQRP is:
[tex]\displaystyle A_{\Delta QRP}=\frac{1}{2}(7)(7)=24.5[/tex]
UTS is also a triangle. We are given that RU = US and PT = TS. So, Points U and T bisect RS and SP, respectively. Since RS = SP = 7, RU = US = PT = TS = 3.5. So, the area of ΔUTS is:
[tex]\displaystyle A_{\Delta UTS}=\frac{1}{2}(3.5)(3.5)=6.125[/tex]
Therefore, the total area of the white region is:
[tex]A_{\text{white}}=6.125+24.5=30.625[/tex]
Thus, the shaded region is:
[tex]A_{\text{shaded}}=49-30.625=18.375[/tex]
Then the ratio of the shaded region to the total area of the square will be:
[tex]\displaystyle R_{\text{shaded:total}}=\frac{18.375}{49}=\frac{3}{8}[/tex]
Our answer is C.
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
Show all steps 2a=22
Answer:
Hello! answer: a = 11
Step-by-step explanation:
2 × 11 = 22 So therefore a = 11 HOPE THAT HELPS!
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
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 greatest power of 3 that is divisible of 100!
Answer:
There is no greatest power of 3 that is divisible of 100.
Step-by-step explanation:
Since any number can always be divisible of 100, there would be no greatest power of 3 that is divisible of 100 since the powers can go on and on forever without stopping, and all powers of 3 is able to be divided by 100.
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 :)
I NEED HELP NOW PLEASE
Answer: B : Stretches vertically by factor 3
Step-by-step explanation: Can you mark this brainliest if this is right?
Complete the statement.
63 mi
mi
h
sec
Please answer ASAP worth 25 points
Answer:
63miles/hour=63miles/[60×60]sec=
0.0175miles/sec
¿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 °.
Divide by using long division:
(8x ^2+ 4x – 3) = (2x - 3)
Answer: Hello Luv......
The chosen topic is not meant for use with this type of problem. Try the examples below.
45665
8723
209÷32
Step-by-step explanation:
Hope this helps.
Mark me brainest please.
Anna ♥
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:
(Can Someone Help Answer This Problem) + No Links
Answer:
50 + 100n
Step-by-step explanation:
The cost is the cost of the visit plus the cost of the cavities
50 + 100n where n is the number of cavities
Answer:
P = 50 + 100*n
Step-by-step explanation:
1. The visit is $50
2. Additional cavity is $100
3. n cavities would cost 100*n
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:
pls answer quick, I need an answer.
Steve bought a triangular mat to cover a corner of his room.
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
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
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
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.
What is the opposite of dividing by 19? A. multiplying by 19 B. subtracting 19 C. dividing by 19 D. adding 19