Answer:
a) P(exactly two defectives) = 0.2734
b) N [tex]\simeq[/tex] 55
Step-by-step explanation:
From the given information:
P(exactly two defectives) = P(X =2) = [tex]^{100}C_2 \times ( 0.02)^2 \times(1-0.02)^{100-2}[/tex]
[tex]= \dfrac{100!}{2!(100-2)!} \times ( 0.02)^2 \times(0.98)^{98}[/tex]
[tex]= 4950 \times 4 \times 10^{-4} \times 0.1380878341[/tex]
= 0.2734
Thus, P(exactly two defectives) = 0.2734
b)
To find:
P(X ≥ 1 )
let X be the random variable that obeys a binomial distribution, X represents the number of defectives,
∴
[tex]X \sim B ( N, 0.02)[/tex]
[tex]P(X \ge 1 ) = 1 - P(X < 1) \\ \\ P(X \ge 1 ) = 1 - P(X = 0)[/tex]
[tex]0.6676 = 1 - ^NC_0 \times (0.02)^0 (0.98)^N[/tex]
[tex]0.6676 = 1 - (0.98)^N[/tex]
[tex](0.98)^N = 1 - 0.6676[/tex]
[tex](0.98)^N = 0.3324[/tex]
N log (0.98) = log (0.3324)
[tex]N = \dfrac{log \ 0.3324}{log \ 0.98}[/tex]
N = 54.51824841
N [tex]\simeq[/tex] 55
Order from least to greatest.
0.64, 13/20, 63%
Answer:
63%, 0.64, 13/20
Step-by-step explanation:
Convert to decimal0.64 = 0.6413/20 = 0.6563% = 0.63Therefore, the answer is 63%, 0.64, 13/20Check over my math please.
Answer:
It looks like everything is correct :)
Step-by-step explanation:
solve for x,y and z, show your work
2x+y 2=-3
y+z=2
-y +z =12
Find the area of this quadrilateral.
Answer:
18
Step-by-step explanation:
I just counted and put together pieces that would reasonably make a full square
1. The Honda Accord uses 192 gallons of gasoline to travel 6 miles. At this
rate, how many miles can the vehicle travel per gallon of gasoline? *
A1152 miles
B32 miles
C0.031 miles
D198 miles
help? URGENTTT i need to do this quickly...
Answer: I think 12...
Step-by-step explanation:
Answer:
Step-by-step explanation
[tex]\frac{4x - y}{2} = 5[/tex]
4x - y = 5 × 2
4x - y = 10
4x = y + 10
x = [tex]\frac{y + 10}{4}[/tex]
hope this helps
If f(x)=(x+1)2+3, what is f(5)?
9514 1404 393
Answer:
39
Step-by-step explanation:
Put 5 where x is and do the arithmetic.
f(5) = (5+1)^2 +3 = 6^2 +3 = 36 +3
f(5) = 39
pls help nmn po bukas na pasahan
Step-by-step explanation:
yan na po yung answer .....................................
Jacob went camping with his family. At 7:15 A.M., Jacob set out to go fishing. It took 1 hour and 45 minutes to hike to the lake. Jacob spent 3 hours and 45 minutes fishing, and it took 1 hour and 15 minutes to hike back. What time was it when Jacob got back to camp?
Include A.M. or P.M. in your answer Please help me fast!!
Answer:
7:15 A.M. 1 hour and 45 min = 105 min3 hour 45 min= 225 min1 hour and 15 min = 105 min105(2)+ 225= 435 min= 7 hours and 25 min. Add that to the original total you get 14:40 P.MMabel has 8 coins, all of which are dimes and pennies. In all, they're worth 35¢. How many of each kind of coin does Mabel have?
Answer:
5 pennies
3 dimes
Step-by-step explanation:
Answer:
3 dimes and 5 pennies
Step-by-step explanation:
Dimes can only add up to 10s so, it would have to be 3 dimes. Pennies can only add one at a time. So the answer for pennies would be 5. And 5+3=8.
Hope this helps!
On a horizontal number line, -45 is located to the left of -35
Answer:
true
Step-by-step explanation:
<________________________>
-45 -35 0
Combine like terms 10p + 9 + 17e - 5e + 1
Answer:
10p + 12e + 10
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
10p + 9 + 17e - 5e + 1
Step 2: Simplify
Combine like terms (e): 10p + 9 + 12e + 1Combine like terms (Z): 10p + 12e + 10Answer:
10p + 10 + 12e would be your answer
Triangle X Y Z has centroid S. Lines are drawn from each point through the centroid to the midpoint of the opposite side to form line segments X W, Y V, and Z T. The length of line segment T S is 3 m minus 1, the length of line segment S Z is 4 m + 8, and the length of line segment X S is 2 m + 12.
S is the centroid of triangle XYZ.
What is the length of SW?
Answer:
it is indeed B
Step-by-step explanation:
a few years late but its fine right
The length of SW will be 9.5. Each median will be divided into segments by the centroid at a ratio of 2:1.
What is the triangle?A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.
The ratio of the centroid divides each median into segments will be 2:1.
[tex]\rm \frac{SZ}{TS} = \frac{2}{1} \\\\ \frac{4m+8}{3m-1} = \frac{2}{1}\\\\ 4m+8 = 2 (3m-1) \\\\ 4m+8 = 6m -2 \\\\ 2 m = 10 \\\\ m = 5[/tex]
The ratio of the centroid divides each median into segments will be 2:1.
[tex]\rm \frac{XS}{SW} = \frac{2}{1}\\\\ \rm \frac{2 m +12}{SW} = \frac{2}{1}\\\\ SW = \frac{19}{2}\\\\ SW = 9.5[/tex]
Hence the length of SW will be 9.5.
To learn more about the triangle, refer to:
https://brainly.com/question/2773823
#SPJ2
please help. i have like a bunch of missing assignments
Answer:
The answer is 11 Units
Answer:
12
Step-by-step explanation:
base*height=6*2
6*2=12
48/8 = 42/x
Please select the best answer from the choices provided.
A: x = 42
B: x = 7
C: x = 8
D: x = 6
Answer:
D because 48 ÷ 8 = 6 42 +6 = 7
The best answer from the choices provided,
is x = 7.
The correct option is B.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given:
An expression,
48/8 = 42/x
Applying cross multiplication,
x = 42(8)/48
x = 7
Therefore, the value of x is 7.
To learn more about the expression;
brainly.com/question/24242989
#SPJ2
If the toss of a coin comes down heads, you win two dollars. If it comes down tails, you lose fifty cents. How much would you expect to gain after 25 tosses (in $ dollars)
Answer:
$30.00
Step-by-step explanation:
Because if you think about it, about half of them are going to be heads and the other half are going to be tails.
hope this helped
We could expect $30.00 to gain after 25 tosses.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
It is given that If the toss of a coin comes down heads, you win two dollars. If it comes down tails, you lose fifty cents.
We need to find How much would you expect to gain after 25 tosses (in $ dollars).
Because if you think about it, you will see that about half of them are going to be heads and the other half are going to be tails.
Therefore, We could expect $30.00 to gain after 25 tosses.
Learn more about probability here;
https://brainly.com/question/11234923
#SPJ6
what is tax dependent
Answer:
A dependent is a person other than the taxpayer or spouse who entitles the taxpayer to claim a dependency exemption. Each dependency exemption decreases income subject to tax by the exemption amount.
Step-by-step explanation:
C С Ε B Н H D in the image point A is the center of the circle. Which two line segments must be equal in length?
Question:
In the image, point A is the center of the circle. Which two line segments must be equal in length?
Answer:
[tex]HI = EF[/tex]
Step-by-step explanation:
See attachment for figure
Required
Which two lines must bet equal
From the diagram, we have the following 4 lines:
BCHIEFADHowever, among the 4 lines, only two lines pass through center A.
These lines are:
HIEFThe length of these two line segments because they both pass through the center and they both represent the diameter of the circle.
Hence,
[tex]HI = EF[/tex]
Does this set of ordered pairs represent a function? (-1,5)(0,-3)(2,7)(4,0)(7,5)
Answer:
No
Step-by-step explanation:
You cant have 2 y values
Answer:
it is indeed a function
Step-by-step explanation:
due in 10 minutes help with explanation
Answer:
first box: -9
second box: -20
Step-by-step explanation:
Group the terms with c and the ones without c:
9c - 15c - 3c = -9c
-12 - 8 = -20
So the simplification is -9c + -20
(which is the same as -9c - 20)
what is the nth term for
- 2, 7, 22, 43
Answer:
3n^2 - 5
Step-by-step explanation:
HELP PLEASE!!!!!
Bernite is selling candy bars for a school fundraiser. The school paid $20.00 for a box of 15 king-size candy bars and Bernite sells them for $2.00 each. What is the relationship between the amount of candy sold and the amount of money earned?
The relationship is linear. More than 1 answer
a.) The relationship is non-linear.
b.) The relationship is proportional.
c.) The relationship is non-proportional.
d.) The relationship always results in a positive profit.
e.) The relationship always results in a negative profit.
Answer:
b
Step-by-step explanation:
A club offers me membership for a fee of 20$ plus a monthly fee of 18 b club offers a fee of 14$ and a monthly fee of 20 after how many month will it be the same
Answer:
wfcfzgcfxfdsdfgfd
Step-by-step explanation:
gfgboy
A vendor bought 100 g of garlic for 20 from a wholesaler. He then sold it at a gain of 10%. Findthe S.P. of 10 g of garlic for the vendor.
Answer:
2.2
Step-by-step explanation:
10% of 20 equals 2
10% of 100g equals 10g
22 = 110% 22/10= 2.2
therefore the S.P. of 10 g of garlic is 2.2
write an equatiob of line in slope intercept from passing through (-10,-8) and parallel to y=1/5x-3
Which phrase describes density? height of a point above sea level force pushing on an area or a surface amount of mass in a certain volume amount of matter an object contains
Answer:
C i think plz let me know ^w^
Step-by-step explanation:
I need help please!:D
Answer:
18
Step-by-step explanation:
Divide 252 by 14 and you will get 18 and if you substitute x or the number you need to find, 18 x 14 = 252. Hope this helps.
Read this E[2X^2 â€" Y].
I know part of it is read as the expected value of two times x square but what do these symbol mean â€" Y.
Write it down in English letters not mathematical expression
Thanx
Looks like a badly encoded/decoded symbol. It's supposed to be a minus sign, so you're asked to find the expectation of 2X ² - Y.
If you don't know how X or Y are distributed, but you know E[X ²] and E[Y], then it's as simple as distributing the expectation over the sum:
E[2X ² - Y] = 2 E[X ²] - E[Y]
Or, if you're given the expectation and variance of X, you have
Var[X] = E[X ²] - E[X]²
→ E[2X ² - Y] = 2 (Var[X] + E[X]²) - E[Y]
Otherwise, you may be given the density function, or joint density, in which case you can determine the expectations by computing an integral or sum.
Find the slope-intercept form between the two points (0,-4) and (-3,-10) * 2 points
Your answer
Answer:
Y=2x-4
Step-by-step explanation:
Which set of numbers represents the DOMAIN for the following table below?
X -3 4 6 -12
Y 5 -6 2 0
A
{4,5,6,12}
B
{−12,−3,4,6}
C
{−12,3,4,6}
D
{0,5,−6,2}
Answer:
B. (-12,-3,4,6)
Step-by-step explanation:
The above question is asking the domain