Answer:
The right answer is "0.7823".
Step-by-step explanation:
Given that,
P = 42%
or,
= 0.42
n = 375
[tex]\hat{P}[/tex] = 0.4
The z-score will be:
= [tex]\frac{\hat{P}-\mu_P}{\sigma_p}[/tex]
By putting the values, we get
= [tex]\frac{0.4-0.42}{\sqrt{\frac{0.42\times (1-0.42)}{0.375} } }[/tex]
= [tex]-0.784706[/tex]
hence,
The probability will be:
⇒ [tex]P(\hat {P}>0.04)[/tex] = [tex]P(z>-0.7847)[/tex]
= [tex]1-P(z<-0.7847)[/tex]
= [tex]1-0.21770[/tex]
= [tex]0.7823[/tex]
Let XX be a random variable that is equal to the number of heads in two flips of a fair coin. What is \text E[X^2]E[X 2 ]
Answer:
Step-by-step explanation:
From the given information, it is likely that the random variable(X) have the values below:
Let head be H
Let tail be T
So;
X(HH) = 2;
X(HT) = 1;
X(TH) = 1;
X(TT) = 0
The distribution can now be computed as:
[tex]p(X= TT) = \dfrac{1}{4}[/tex]
[tex]p(X=TH) = \dfrac{1}{4}[/tex]
[tex]p(X=HT) = \dfrac{1}{4}[/tex]
[tex]p(X=HH)= \dfrac{1}{4}[/tex]
Now, the expected value that is equivalent to the number of heads when the coin is flipped twice is:
[tex]E(X) = p(TT)*X(TT)+p(TH)*X(TH)+p(HT)*X(HT)+p(HH)*X(HH)[/tex]
[tex]E(X) = \dfrac{1}{4}\times 0 + \dfrac{1}{4}\times 1 + \dfrac{1}{4}\times 1 + \dfrac{1}{4}\times 2[/tex]
[tex]E(X) = 0 + \dfrac{1}{4}+ \dfrac{1}{4} + \dfrac{1}{2}[/tex]
[tex]E(X) =\dfrac{1+1+2}{4}[/tex]
[tex]E(X) =\dfrac{4}{4}[/tex]
E(X) = 1
[tex]E(X^2) = p(TT)*X(TT)^2+p(TH)*X(TH)^2+p(HT)*X(HT)^2+p(HH)*X(HH)^2[/tex]
[tex]E(X^2) = \dfrac{1}{4}\times 0^2+ \dfrac{1}{4}\times 1^2 + \dfrac{1}{4}\times 1^2 + \dfrac{1}{4}\times 2^2[/tex]
[tex]E(X^2) = 0 + \dfrac{1}{4}+ \dfrac{1}{4} + \dfrac{4}{4}[/tex]
[tex]E(X^2) =\dfrac{1+1+4}{4}[/tex]
[tex]E(X^2) =\dfrac{6}{4}[/tex]
[tex]E(X^2) =1.5[/tex]
Finally; To compute E²[X]
E²[X] = E[X]²
E²[X] = 1²
E²[X] = 1
Find the amount of money in an account after 9 years if $2,600 is deposited at 8% annual interest compounded monthly
Answer:
5328.78
Step-by-step explanation:
formula:
[tex]P(1+\frac{i}{n})^{n*t}\\2600(1+\frac{.08}{12})^{12*9}\\\\2600(1.006667)^{108}=5328.77861305[/tex]
this rounds to 5328.78
I need help with this math question
Answer:
the scale factor is 3. hope this helps
Answer:
3
Step-by-step explanation:
you can set up a ratio using corresponding parts from each triangle.
or
notice the change from 3 to 9 is by multiplying 3 x 3
the change is the same for all : 3 x 4 = 12 , 3 x 5 = 15
ratio way
[tex]\frac{new}{old\\}[/tex] = [tex]\frac{9}{3}[/tex] = 3
Are the events independent or dependent. From a bag containing 10 marbles, 5 red, 3 black, 1 blue, and 1 white we pick two marbles:
Event A: Selecting a red marble first pick, and then without replacement
Event B: Selecting a white marble on the second pick
Answer:
Dependent
Step-by-step explanation:
The first draw has 10 marbles, the second draw has 9 marbles and the color of those 9 marbles depends on the marble picked in the first draw so the events are dependent.
Answer:
Dependant
Step-by-step explanation:
It would be independent if you put the marble BACK, because at first it was 1/10 to get the white marble and then it became 1/9.
Complete the remainder of the table for the given function rule:
Y=3x-5
[X] -6 -3 0 3 6
[Y] -23 ? ? ? ?
answer is
(Y)=-23,-14, -5,4,13
hope this will help you
Can someone Help me please.?
Answer:
Option D
Hope this helps!
I was wondering if anyone could answer this :)
Step-by-step explanation:
The sides with the variables are the same length, so make them equal.
x+2=2x-3
Get x alone on one side.
5=3x
Simplify.
5/3 = x
Answer:
5
Step-by-step explanation:
x+2 = 2x-3
+3 +3
x+5 = 2x
-x -x
x=5
Hope this helps! :)
pls help me on this ..
Given : Scale drawing of Angel's rectangular room is 5cm by 7 cm
We know that, Area of a rectangle is given by : Length × Width
⇒ Area of Angel's rectangular room = (5 cm × 7 cm) = 35 cm²
Given : The scale is 1 cm = 4 feet
⇒ Area of Angel's rectangular room in square feet = 35 × (4 feet)²
⇒ Area of Angel's rectangular room in square feet = 35 × 16 feet²
⇒ Area of Angel's rectangular room in square feet = 560 feet²
convert fraction to decimal 1/5 explanation
Answer: 0.2
Step-by-step explanation:
1 divided by 5 = 0.2
Answer:
0.2
Step-by-step explanation:
1/5 = 1 divided by 5.
This will also apply to any fraction
Fraction = Numerator divided by Denominator
is 3(6x + 1) and 21x
equivalent?
explain why
Answer: they are not equivalent be 3(6x+1) is 18x+3 and 21x stays the same so there for they are not equivalent to each other
Step-by-step explanation:
A right cone has a radius of 5 cm and an altitude of 12 cm. Find its volume.
A)
300 cm3
B)
64.1 cm3
C)
942.5 cm3
D)
314.2 cm3
Answer:
D. V=314.2cm³
Step-by-step explanation:
The volume of the cone is:
V=pi×r²×h/3=pi×5²×12/3=100×pi=314.2cm³
Answer: D) 314.2 [tex]cm^3[/tex]
Step-by-step explanation:
The formula for finding the volume of a right cone is [tex]V=\pi r^2\frac{h}{3}[/tex]
r is the radius and h is the height/altitude.
We can sub these values in and solve
[tex]V=\pi (5^2)(\frac{12}{3} )\\V=\pi (25)(4)\\V=100\pi[/tex]
Let's sub in 3.14 for [tex]\pi[/tex] since that is a close estimate
[tex]V=(100)(3.14)\\V=314[/tex]
The volume is about 314.
Our closest answer to that is D so that is the correct choice.
For f(x) = 3x +1 and g(x) = x - 6, find (f- g)(x).
A. K - 3x-7
B. 3x - 17
c. -x + 3x + 7
D. -x + 3x - 5
SUBND
Answer:
c. -x + 3x + 7 = 2x+7
Step-by-step explanation:
f(x) = 3x +1 and g(x) = x - 6
f-g = 3x +1 - ( x - 6)
Distribute the minus sign
= 3x+1 - x+6
= 2x +7
find the value of x. round your answer to the nearest tenth.
9514 1404 393
Answer:
x ≈ 13.7
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
tan(58°) = 22/x
x = 22/tan(58°) ≈ 13.747
The value of x is about 13.7 units.
Think you can figure out the correct answer here
The answer would be 30 because the triangle is 10, the circle is 5, and each black triangle is 2 which would be 10 plus 5 which is 15 then times 2 which is 30.
Answer:
20?
Step-by-step explanation:
If 3 triangles = 30 they we could assume that each triangle = 10
10 + 10 + 10 = 30
If one triangle = 10 then the 2 circles would = 5 in the 2nd equation
10 + 5 + 5 = 20
If 1 circle = 5 then the 1 full squares would = 4
5 + 4 + 4 = 13
1 triangle = 10 , 1 circle = 5, Half a square = 2
10 + 5 * 2 = ?
Using PEMDAS we would multiply 2 and 5 first to get 10
10 + 10 = 20
4) 2 2/3 yards feet * O 8 feet O 6 feet O 2 feet O 7 feet
Answer:
your mom
Step-by-step explanation:
u gonna fail just give up on life
If the value of a in the quadratic function f(x) = ax^2 + bx + c is -2, the function will_______.
a open down and have a minimum
b open down and have a maximum
c open up and have a maximum
d open up and have a minimum
Answer:
b open down and have a maximum
Step-by-step explanation:
A negative value for a will make the quadratic function open down
A downward facing parabola will have a maximum
a net ball team won 24 out of 40 matches. what percentage of the match did the team win
Answer:
60%
Step-by-step explanation:
[tex]percentage = \frac{24}{40} \times 100\% \\ = 60\%[/tex]
[tex]\Huge{\textbf{\textsf{{\purple{Ans}}{\pink{wer}}{\color{pink}{:}}}}} \\ [/tex]
[tex]percentage = \frac{24}{40} \times 100\% \\ = 60\%[/tex]
so answer is 60%
HELP WOULD BE APPRECIATED
Solve for n
n - 21 = 3
OA) n=45
OB) n=52
Oc) n= 24
OD) n= 19
Answer:
option C. n = 24
Step-by-step explanation:
n - 21 = 3
n - 21 + 21 = 3 + 21 [adding 21 on both sides ]
n + 0 = 24 [ -21 + 21 = 0 ]
n = 24
What is 2/6 in simplest form? Find the greatest common factor of 2 and 6 and divide by that number. *
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
2 = 2 × 1
6 = 2 × 3
GCF = 2
[tex]\frac{2 /2 }{6/2} =\frac{1}{3}[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\boxed{\frac{1}{3}}[/tex]
»»————- ★ ————-««
Here’s why:
We would take the GCF of the two numbers in order to simplify.⸻⸻⸻⸻
[tex]\boxed{\text{Simplify:}}\\\\\frac{2}{6}\\\\\boxed{\text{Finding the Factors:}}\\\\2: 2\\6 : 2,3\\\\\boxed{\text{The GCF would be 2.}}\\\\\frac{2}{6} =\frac{2/2}{6/2}=\boxed{\frac{1}{3}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
What is the value of x
Answer:
18°
Step-by-step explanation:
Know that the intersection of two lines and the angles opposite each other are equal
3t+12=66
Subtract 12 from both sides
3t=54
Divide 3 from both sides
t=18
Found out the answer please I can't do this
Answer:
530.929158457
Step-by-step explanation:
13x13= 169 x pi= 530.929158457
In which of the following expressions does the number 36 fill in the blank so that the equation is true? Select all that apply. A) 6(8 + 9) = ___ + 54 B) 6(9 + 6) = 54 + ___ C) 9(4 + 7) = ___ + 63 D) 3(5 + 12) = 15 + ___
Answer:
B is the correct answer
Step-by-step explanation:
6(9+6)=54+36
6(15)=90
90=90
2) When Janet put her marble collection in groups of 7 there were two marbles left over, when she put them in groups of 5 there were 3 marbles left over. What is the fewest number of marbles that Janet could have had in her collection?
Answer:
23 marbles
Step-by-step explanation:
3 groups of 7 = 21 +2 = 23
4 groups of 5 = 20 +3 = 23
Which word expression represents the algebraic expression shown?
12 – 3x
The difference between twelve and three times a number.
Hope this helps! :)
James invested £2000 for three years in an Internet Savings Account.
He is paid 5.5% per annum compound interest.
Work out the total interest earned after three years
Answer:
£2348.48
Step-by-step explanation:
We can use the “slow method” for this, seeing it’s only 3 years.
£2000 * 105.5% = 2110 * 105.5% = 2226.05 * 105.5% = 2348.48
(105.5% = 1.055, by the way)
After the initial calculation, you can use Ans * 1.055 until you’ve hit the three years.
f(x)=-2x^2 -3, find f(0)
Answer:
Step-by-step explanation:
It's -3
Plz do.this for 20 points
Step-by-step explanation:
1 2 3 42 4 6 83 6 9 12You need to multiply the row and column to get the numbers
for example the block with row 3 column 3,the answer is 3 x 3= 9
each spinner can land on any of the points it has, thus each of the number have the same possibility.
Analyze the diagram below and complete the instructions that follow.
Answer:
C).
[tex]= \sqrt{ {16}^{2} + {30}^{2} } \\ = \sqrt{1156} \\ = 34 \\= \sqrt{ {34}^{2} + {5}^{2} } \\ = \sqrt{1181} \\ = 34.37[/tex]
On a coordinate plane, a polygon has points (negative 3, 4), (3, 4), (3, negative 3), (negative 3, negative 2).
What points are the vertices of this polygon? Select all that apply.
(–3, –2)
(–2, –3)
(3, 4)
(–3, 4)
(3, 3)
(3, –3)
Answer:
(-3,-2)
(-3,4)
(3,4)
(3,-3)
Step-by-step explanation:
Answer:
cant see nun mind showing it
. Seja (G, ·) um grupo tal que para todo x ∈ G temos x
2 = eG. Mostre
que G ´e abeliano.
