Answer:
.101501615
.84982392
.901244701
Step-by-step explanation:
For this question use a binomial distribtuion
a.
12C3*.44³*(1-.44)⁹= .101501615
b.
to find at least 4 find the probability of less than 4 and take its compliment
12C0*(1-.44)¹²+12C1*.44*(1-.44)¹¹+12C2*.44²*(1-.44)¹⁰+12C3*.44³*(1-.44)⁹= .15017608
1-.15017608=.84982392
c.
To find less than eight's probability find the proability of at least 8 and take its compliment
12C8*.44⁸(1-.44)⁴+12C9*.44⁹(1-.44)³+12C10*.44¹⁰(1-.44)²+12C11*.44¹¹*(1-.44)+12C12*.44¹²= .098755299
1-.098755299= .901244701
7. The fastest ever Formula 1 qualifying lap at Silverstone is 1 minute, 29.6 seconds.
The fastest ever racing lap is 1 minute, 30.9 seconds.
How many tenths of a second quicker is the qualifying lap?
Answer:
1.3 seconds ; 13 tenth of a second
Step-by-step explanation:
Fastest ever qualifying lap = 1 minute 29.6 seconds
Fastest ever racing lap = 1 minute 30.9 seconds
The difference :
1 minute 30.9 seconds - 1 minute 29.6
30.9 seconds - 29.6 seconds = 1.3 seconds
1.3 seconds = 1.3/0. 1 = 13 tenth of a second
A cardiologist is interested in the average recovery period for her patients who have had heart attacks. Match the vocabulary word with its corresponding example.
-
The average recovery time for all heart attack patients that the cardiologist has or will treat
-
All heart attack patients that the cardiologist has cared for or will care for in the future
-
The average recovery time for the 32 heart attack patients
-
The 32 heart attack patients who were observed by the cardiologist
-
The list of all 32 heart attack patients' recovery times
-
The recovery time for a heart attack patient
Answer: See explanation
Step-by-step explanation:
1. The average recovery time for all heart attack patients that the cardiologist has or will treat. = Parameter
2. All heart attack patients that the cardiologist has cared for or will care for in the future = Population.
3. The average recovery time for the 32 heart attack patients = Statistics
4. The 32 heart attack patients who were observed by the cardiologist = Sample
5. The list of all 32 heart attack patients' recovery times = Data
6. The recovery time for a heart attack patient. = Variable
The concentration of a pollutant in a lake is 85 parts per million (ppm) and is increasing at a rate of 4.6% each year. A possible formula for the concentration C as a function of year tis:
(a) C 85 +4.6t
(b) C-85-4.6t .
(c) C-85 +0.046t
(d) C-85 -0.046
(e) C = 85 (0.046)
(f) C-85 (0.954)
(g) C = 85 (1.046)
(h) C-85(1.46)
(i) C85(0.46)
(j) C-4.6 (0.85)
Answer:
[tex]C(t) = 85(1.046)^t[/tex], and the correct answer is given by option g.
Step-by-step explanation:
Equation for an concentration increasing exponentially:
The concentration after t years, considering that it increases exponentially, is given by the following equation:
[tex]C(t) = C(0)(1 + r)^t[/tex]
In which C(0) is the initial concentration and r is the growth rate, as a decimal.
The concentration of a pollutant in a lake is 85 parts per million (ppm) and is increasing at a rate of 4.6% each year.
This means that [tex]A(0) = 85, r = 0.046[/tex]. Thus
[tex]C(t) = C(0)(1 + r)^t[/tex]
[tex]C(t) = 85(1 + 0.046)^t[/tex]
[tex]C(t) = 85(1.046)^t[/tex], and the correct answer is given by option g.
PLEASE HELP!!!! WHOEVER GETS IT RIGHT GETS BRAINLIEST !!!!
FIND THE VALUE OF X
Answer:16 degree is the answer.
Since r and m are parallel:
10x-3=7x+45
3x=48
x=16
Which of the following triangles have three sides of different length? A. acute B. scalene C.equilateral D. right
Answer:
scalene
hope this helps
have a good day :)
Step-by-step explanation:
What is the equivalent recursive definition for an = 12+ (n - 1)3?
A. a1 = 3, An = An-1 + 12
B. a1 = 12, An = 30n-1
C. a1 = 12, Un = On-1 +3
D. a1 = n, an= 1201-1+3
Answer:
[tex]A_1 = 12[/tex]
[tex]A_n = A_{n-1} + 3[/tex]
Step-by-step explanation:
Given
[tex]A_n =12+(n-1)3[/tex]
Required
Write as recursive
We have:
[tex]A_n =12+(n-1)3[/tex]
Open bracket
[tex]A_n =12+3n-3[/tex]
[tex]A_n =12-3+3n[/tex]
[tex]A_n =9+3n[/tex]
Calculate few terms
[tex]A_1 =9+3*1 = 9 + 3 = 12[/tex]
[tex]A_2 =9+3*2 = 9 + 6 = 15[/tex]
[tex]A_3 =9+3*3 = 9 + 9 = 18[/tex]
The above shows that the rule is to add 3.
So, we have:
[tex]A_1 = 12[/tex]
[tex]A_n = A_{n-1} + 3[/tex]
10)
X + 80
70°
A) 5
C) -10
B) 8
D) 7
Answer:
C: x=-10
Step-by-step explanation:
Alternate interior angles are congruent to each other meaning that x+80=70 making x equal to -10. I hope this helped and this is one of my favorite units so post more these questions :)
Find the area
76 sq meters
60 sq meters
30.5 sq meters
65 sq meters
Step-by-step explanation:
2*10+((4+10)x8)/2
=20+14*8/2
=76 sq meters
Given: g(x) = x - 4 and h(x) = 2x - 8. What is g(h(1011?
Answer:
[tex]g(h(1011)) = 2010[/tex]
Step-by-step explanation:
Given
[tex]g(x) = x - 4[/tex]
[tex]h(x) =2x - 8[/tex]
Required
[tex]g(h(1011)[/tex]
First, we calculate [tex]g(h(x))[/tex]
[tex]g(x) = x - 4[/tex]
Substitute h(x) for x
[tex]g(h(x)) = h(x) -4[/tex]
Substitute [tex]h(x) =2x - 8[/tex]
[tex]g(h(x)) = 2x - 8 -4[/tex]
[tex]g(h(x)) = 2x -12[/tex]
Substitute 1011 for x
[tex]g(h(1011)) = 2*1011 -12[/tex]
[tex]g(h(1011)) = 2022 -12[/tex]
[tex]g(h(1011)) = 2010[/tex]
Answer:
6
Step-by-step explanation:
just did it on egde 2021
[12÷(9-6)]+4×6
please help
The answer is 28 ez.
Answer:
the answer is 28
Step-by-step explanation:
Multiply each term number below by 5 to form a sequence
Answer:
Multiply the numbers by 5
Step-by-step explanation:
Mark me brainlist?
How do you find the square root of 11? I need to show work
Answer:3.31662479036.
Step-by-step explanation:To find the square root of 11, use the long division method to get the approximate value. Therefore, √11 = 3.31662479036. Register at BYJU'S to learn other interesting mathematical concepts.
verify that A(3, 1), B(0, 5), and C(-1, -1) are the vertices of a right triangle.
A six-character license plate can be any three letters of the alphabet, followed by any three numerical digits. How many different license plates are possible?
Answer:
17,576,000 different license plates 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:
For each letter, there are 26 possible outcomes.
For each digit, 10 possible outcomes.
So
L - L - L - D - D - D
Number of possible outcomes:
26 - 26 - 26 - 10 - 10 - 10
Each character of the license plate is independent, so, by the fundamental counting principle:
26*26*26*10*10*10 = 17,576,000
17,576,000 different license plates are possible.
what is 3/5 minus 5/11
Answer:
0.14545454545 Maybe
Step-by-step explanation:
Answer:
8/55
Step-by-step explanation:
The first thing you need to do is find a common denomintor.
The first denominator is 5, the other is 11.
If you multiply these together, you will get 55. This can not be reduced and still be divisable by 5 and 11, so this is your new denominator.
So for the 3/5 multiply both top and bottom by 11, since thats how many times bigger the denominatir needs to be:
3*11/5*11= 33/55
Then for 5/11 multiply both top and bottom by 5, since thats how many times bigger the denomator is to make 55:
5*5/11*5=25/55
Now we have:
33/55-25/55
When subtracting fractions, you are only subtracting the two numerators, and the denominators are unaffected:
33-25/55=8/55
So 8/55 is your answer.
Hope this helps!
factorise fully 16c^4p^2+20cp^3
Answer:
Step-by-step explanation:
16c^4p^2 + 20cp^3
take common
=4cp^2(4c^3 + 5p)
Given the expression below:
[tex] \large \boxed{16 {c}^{4} {p}^{2} + 20c {p}^{3} }[/tex]
We can factor out c-term, p² and 4 (from 16 and 20)
[tex] \large{4c {p}^{2} (4 {c}^{3} + 5p)}[/tex]
Answer
4cp²(4c³+5p)Which graph shows a polynomial function of an even degree?
Deshaun has scored 86, 83, 93, and 79 on her previous four tests. What score does he need on his next test so that his average (mean) is 86?
Answer:
89
Step-by-step explanation:
341 ( total of previous 4 tests) + 89= 430
Divide 430 by 5 ( number of tests)
HELP ME PLEASEEEEEEEEEEEEEEEEEE
Answer:
y = 3/2x + 15
Step-by-step explanation:
change f(x) to 'y='
interchange 'x' and 'y' then solve for 'y':
y = 2/3x - 10
x = 2/3y - 10
x+10 = 2/3y
multiply each side by 3/2 to get:
y = 3/2x + 15
The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increases by 10% in 10 years. What will be the population in 20 years? (Round your answer to the nearest person.)
510
Incorrect: Your answer is incorrect.
persons
How fast (in persons/yr) is the population growing at
t = 20?
(Round your answer to two decimal places.)
persons/yr
Answer:
The right answer is "605 persons".
Step-by-step explanation:
Given that,
⇒ [tex]\frac{dP}{dt} \alpha P[/tex]
or,
⇒ [tex]\frac{dP}{dt} =RP[/tex]
⇒ [tex]\frac{1}{R} \int\limits^{PT}_{500} {\frac{dP}{P} } = \int\limits^{t}_{0} dt[/tex]
⇒ [tex]\frac{1}{R} [log PT-log500]=t[/tex]
⇒ [tex]log[\frac{PT}{500} ]=Rt[/tex]
At t = 10 years,
⇒ [tex]PT=\frac{110}{100}\times 500[/tex]
[tex]=550[/tex]
∴ [tex]log[\frac{550}{500} ]=R\times 10[/tex]
[tex]R=\frac{log(1.1)}{10}[/tex]
At t = 20,
⇒ [tex]log{\frac{PT}{500} }=\frac{log \ 1.1}{10}\times 20[/tex]
[tex]PT=500\times (1.1)^2[/tex]
[tex]=605 \ persons[/tex]
Find the surface area of the regular pyramid
Answer:
surface are of the pyramid =(1/2×6×5.2)+(3×1/2×6×10) =15.6+90 =105.6 yd²The measure of _A is 18° greater than the measure of _B. The two angles are complementary. Find the
measure of each angle.
The m_A is
1° m
and m_B is
Answer:
angle A=54 degree
angle B =36 degree
Step-by-step explanation:
let angle B be x
angle A=x+18
since they are complementary angles sum of these two angles will be 90 degree
x+x+18=90
2x=90-18
2x=72
x=72/2
x=36 degree
substitute the value of x to find angle A and angle B
for angle A
x+18
36+18
54 degree
for angle B
angle B =x
=36 degree
Now that we know that 2π is about 6.28, π2 is about 9.86, and 58−−√ is between 7 and 8, which choice represents the correct order of these expressions from least to greatest: 58−−√, 2π, π2, 8?
Answer:
use miss r sir hope I helped you
Check out this app! It's millions of students helping each other get through their schoolwork. https://brainly.app.link/qpzV02MawO
Answer:
Yes , and u can learn a lot just by answering an asking questions
1. What is the discriminant of the equation 5x2 - 20x + 20 = 0?
Answer:
0
Step-by-step explanation:
D = 20²-4(5)(20) = 400-400 = 0
- ⅘ x = 8.....................
im actually in middle school btw dunno why it says college
Answer:
-10
Step-by-step explanation:
See image below:)
Answer:
x = -10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-4/5x = 8
Step 2: Solve for x
[Division Property of Equality] Divide -4/5 on both sides: x = 8 / -4/5Divide: x = -10Will mark Brainlest help plsssss
Answer:
45 is answer I guess cuz my teacher taught me just like that
simplify the expression
7y − (6)2y − 12
Answer:
-5y-12
Step-by-step explanation:
Multiply 6 into 2y
7y-12y-12
-5y-12
What is the value of a?
A. 12
B. 15
C. 17.25
D. 21.25
Answer:
the answer is a.12
i think
Answer:
17.25
Step-by-step explanation:
What is length of DF?
Answer:
DF = 11
Step-by-step explanation:
From the question given above, the following data were obtained:
EH = 8
HG = 3
EF = DG
DF =?
Since, EF = DG, it also means that EG = DF.
Next we shall determine EG. This can be obtained as follow:
EG = EH + HG
EH = 8
HG = 3
EG = 8 + 3
EG = 11
Finally, we shall determine EF. This is illustrated below:
EG = DF
EG = 11
DF =?
11 = DF
Therefore,
DF = 11