Answer:0.849185
Step-by-step explanation:
Binomial probability formula we will use:
[tex]$P(x)=\frac{n !}{x !(n-x) !} p^{x} q^{n-x}$[/tex]
where,
[tex]n=5$\\$\mathrm{P}$ (probability of success) $=0.3$\\q=1-p[/tex]
The computation of the probability will be :
[tex]$P(x \leq 2 ; 5,0.3)=P(x=0 ; 5,0.3)+P(x=1 ; 5,0.3)+P(x=2 ; 5,0.3)+P(x=3 ; 5,0.3)$\\$=\left[\frac{5 !}{5 !(5-0) !}(0.3)^{0}(1-0.3)^{5-0}\right]+\left[\frac{5 !}{5 !(5-1) !}(0.3)^{1}(1-0.3)^{5-1}\right]$$+\left[\frac{5 !}{5 !(5-2) !}(0.3)^{2}(1-0.3)^{5-2}\right]$$++\left[\frac{5 !}{5 !(5-3) !}(0.3)^{3}(1-0.3)^{5-3}\right]$$++\left[\frac{5 !}{5 !(5-4) !}(0.3)^{4}(1-0.3)^{5-4}\right]$\\$=0.1681+0.3601+0.3087+0.006615+0.00567$\\$\Rightarrow 0.849185$[/tex]
The probability that at most 4 are accepted = 0.849185
Perfect square trinomial:
(a – b)2 = (a – b)(a – b) = a2 – 2ab + b2
Find the product of (k – 9)2 using the perfect square trinomial rule shown on the left.
The product (k – 9)2 can also be written as
.
The product is k2 –
k +
.
Answer:
See work below.
Step-by-step explanation:
[tex](k-9)^2=(k-9)(k-9)\\=k^2-2(k)(9)+9^2\\=k^2-18k+81[/tex]
Find the value of x in the figure:
PLEASE SHOW WORK:)))
WILL MARK BRAINLIEST TO CORRECT ANSWER.
Answer:
x = 4
Step-by-step explanation:
ΔAED ~ ΔACB
[∠DAE = ∠BAC ( common angle ), [tex]\frac{AE}{AC} = \frac{AD}{AB}[/tex] ( gives a ratio 1:2 ) ]
[tex]\frac{AE}{AC} = \frac{DE}{BC}[/tex]
Since AC = 2AE [ AC = AE + EC, But AE = EC, ∴ AC = AE + AE ]
[tex]\frac{AE}{2AE} = \frac{x + 1}{4x - 6}\\\\\frac{1}{2} = \frac{x + 1}{4x - 6}\\\\\\Cross - multiplying,\\\\4x - 6 = 2 *(x + 1)\\4x - 6 = 2x + 2\\4x - 2x = 2 + 6\\2x = 8\\x = 4[/tex]
5. The Toy Car Company sells toy cars for $8.00
per car and charges $3.50 for shipping.
a.
Answer:11.50
Step-by-step explanation:
Fill in the missing monomials: 100x^2= (____)^2
ITS NOT 100
Answer:
(10x)^2
Step-by-step explanation:
factorise 4a-6ab-18ac
Answer:
Step-by-step explanation:
4a-6ab-18ac
=2a(2-3b-9c)
The required factorisation of the given equation is 4a-6ab-18ac = 2a(2 - 3b - 9c).
What is factorisation?In mathematics, factorisation or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.
The given equation is,
4a-6ab-18ac
So factorising each term we have,
4a = 2*2*a
6ab = 2*3*a*b
18ac = 2*3*3*a*c
Thus the equation becomes,
4a-6ab-18ac = 2*2*a - 2*3*a*b - 2*3*3*a*c
taking 2*a common we get,
4a-6ab-18ac = 2a(2 - 3b - 3*3*c)
or, 4a-6ab-18ac = 2a(2 - 3b - 9c)
which is the the required factorisation of the equation.
Thus, the required factorisation of the given equation is 4a-6ab-18ac = 2a(2 - 3b - 9c).
To learn more about factorisation:
https://brainly.com/question/20293447
#SPJ2
Helppppppppppppppp meeeeeeeeee
Answer: the forth one
Step-by-step explanation:
Round 591.48 to the nearest tenth.???? need help dunno
Answer:
591.5
Step-by-step explanation:
You're rounding so yeah this was simple
Answer:
591.5 because the tenth place is after the . and the number after it is what you use to round it if it larger then 5 the number in the tenth place goes up one and if it's under 5 it stays the same
Does anyone understand this?
Answer: understand what
Step-by-step explanation:
Answer:
where qurstion
Step-by-step explanation:
??????????????
Write an equation for a translation of the parent function y = |x| to translate it 7 units left.
A. y = |x| + 7
B. y = |x + 7|
C. y = |x − 7|
D. y = |x| − 7
9514 1404 393
Answer:
B. y = |x +7|
Step-by-step explanation:
The translations represented by the answer choices are ...
A. up 7 units
B. left 7 units . . . . the choice we want
C. right 7 units
D. down 7 units
___
In general, the effects of adding things to x and y are summarized by ...
y = f(x -a) +b . . . . . . . . translation right 'a' units, up 'b' units
Translations left or down are accomplished by using negative values for 'a' and/or 'b.
__
We want translation 7 units left, so a=-7 and b=0
y = |x| ⇒ y = |x -(-7))| or y = |x+7|
What is the volume of the triangle prism? ( HELP PLEASE )
Answer:
270 km³
Step-by-step explanation:
the volume = ½×9×6×10 = 270 km³
An equation is shown below:
8x + 2(x – 7) = 7x + 3x – 14
Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points)
Part B: Name one property you used to solve this equation. (4 points)
Which of the following sets of data is bimodal?
A {2,3,4,4,5,6,7,7,8}
B {2,2,3,3,4,4,5,5,6,6}
C {2,3,4,4,4,5,6,7,8}
D {2,2,3,3,4,4,5,6,7,8}
Answer:
a. po
sana po maka tulong
4. In a mixture of 45 litters, the ratio of sugar solution to salt solution is 1:2. What is the
amount of sugar solution to be added if the ratio has to be 2:1?
Answer:
15
Step-by-step explanation:
The amountt of sugar and salt would be x and 2x
x+2x=45x
so sugar solution =15 and salt solution =30
ratio =2:1 then sugar =30 salt =15
The amount of sugar solution to be added =30-15=15
What is the angle of elevation to a building 1300m away that is 250m high?
•79.1°
•78.9°
•11.1°
•10.9°
Answer:
∅ = 10.9º
Step-by-step explanation:
tan = opp/adj = 250/1300
∅ = arctan250/1300
use calculator
∅ = 10.9º
What is the volume of the rectangular prism?
Answer:
54 in³
Step-by-step explanation:
9×3×2 = 54 in³
_______
A market research team thinks that their new ad campaign is better than their old one. They used to be able to sell to 50% of those who saw their ads. To test their thought, they will run a hypothesis test. They take a random sample of 100 potential buyers and find that they convinced 60 of these people to buy their product. The test will be run at a 1% significance level.
a. The test statistic is 2 and we conclude that the new ad campaign is not signficantly better.
b. The test statistic is 2 and we conclude that the new ad campaign is signficantly better.
c. The test stat is 2.236 and we conclude that the new ad campaign is not significantly better.
d. The test stat is 2.236 and we conclude that the new ad campaign is significantly better.
e. The test stat is 2.5 and we are left with a test that is inconclusive.
Answer:
a. The test statistic is 2 and we conclude that the new ad campaign is not signficantly better.
Step-by-step explanation:
They used to be able to sell to 50% of those who saw their ads. Test if the new campaign is better.
At the null hypothesis, we test is it is the same, that is, the proportion is the same.
[tex]H_0: p = 0.5[/tex]
At the alternate hypothesis, we test if it is significantly better, that is, the proportion is above 50%.
[tex]H_1: p > 0.5[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.5 is tested at the null hypothesis:
This means that [tex]\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5[/tex]
They take a random sample of 100 potential buyers and find that they convinced 60 of these people to buy their product.
This means that [tex]n = 100, X = \frac{60}{100} = 0.6[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.6 - 0.5}{\frac{0.5}{\sqrt{100}}}[/tex]
[tex]z = 2[/tex]
The test statistic is 2.
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion above 0.6, which is 1 subtracted the by p-value of z = 2.
Looking at the z-table, z = 2 has a p-value of 0.9772.
1 - 0.9772 = 0.0228.
The p-value of the test is 0.0228 > 0.01, which means that we cannot conclude that the new ad campaign is signficantly better, so the correct answer is given by option A.
this is going to be hard ok here i go what is 5678,00000 x 4321,0000000
Answer: 2.45346638e+19
Step-by-step explanation:
Please help ;-;im stuck
Answer:
999
Step-by-step explanation:
223 → 200 + 20 + 3
374 → 300 + 70 + 4
402 → 400 + 0 + 2
900 + 90 + 9
standard form = 999
En 9 días, un grupo de trabajadores puede sembrar 72 hectáreas.
¿Cuál es su tasa en hectáreas por día?
Answer:
8 hectáreas por día
Step-by-step explanation:
72 hectares en 9 días por eso divides 72 por 9 para encontrar la repusta es 8
¡Espero que esta te ayudar! :)
(y sí, hablo un poco de español porque he aprendido desde el primer grado)
The operation is defined on the set R of real numbers by ab=ab+a.
Determine whether or not the operation is associative.
Please I need help.
Answer:
ab=ab+a
We need to check the following:
(ab)c=a(bc) or not
LHS
(ab)c=(ab+a)c
=(ab+a)c+(ab+a)
=abc+ac+ab+a
RHS
a(bc)=a(bc+b)
=a(bc+b)+a
=abc+ab+a
as LHS ≠ RHS, the operation is not associative
Step-by-step explanation:
Plzz help me well mark brainliest if correct,.......???!!!
Answer:
im pretty sure is 3 but it says 2 but just pick 3
Answer:
1
Step-by-step explanation:
Depending on what number has the most Xs above it, that will be the answer. The question is slanted so, it's hard to tell between 1 and 3, but, if I had to guess, then 1.
what is the value of a, if 5a-b-c=36 and b=c=1/2a
Answer:
a=36
Step-by-step explanation:
because look 0a=a
0a=36
a=36
solve for ,"a" in 3(a+2)/4 +3/2=0
Answer:
a=-4
Step-by-step explanation:
3(a+2)=-6
3a+6-6=-6-6
3a/3=-12/3
Help plz:)))I’ll mark u Brainliest
Answer:
[tex]sin^{-1}(\frac{51}{53})\\=74.21[/tex]
≈74
If w = 7a + 4b, which of the following equations is solved for a?
Answer: a= w - 4b/ 7
Step-by-step explanation:
It’s algebra 2 I have no idea help?
Answer:
outs dnc fungi obi fh hk of dk foo ox dj fk
The F-ratio is determined by dividing _________by ___________. Group of answer choices within-groups variance; between-groups variance between-groups variance; within-groups variance systematic variance due to treatment; error variance error variance; systematic variance due to treatment
Answer:
between-groups variance;
within-groups variance
Step-by-step explanation:
The F-ratio is determined by dividing between-groups variance by within-groups variance
Reason -
The F ratio is the ratio of two mean square values.
Find the circumference of the object 6 Cm
Answer:
37.7 cm
Step-by-step explanation:
C = 2πr
2 · π · 6
≈ 37.7
Solve the problem. An experiment consists of randomly choosing a number between 1 and 10. Let E be the event that the number chosen is even. Assuming that each of the numbers between 1 and 10 is equally likely to be chosen, find P(E).
A) .5
B) .8
C) .1
D) .2
Answer:
A.
Step-by-step explanation:
1. the required probablilty is: P=(number_of_even_numbers)/(number_of_all_the_numbers);
2. according the condition the number of all the numbers is 10; the number of even numbers is 5 (they are: 2; 4; 6; 8; 10), then
3. P=5/10=0.5 (option 'A').
{5,9,8,6,3,9,1,4,5,9,13}
Answer:
75
Step-by-step explanation: