Answer:
MULTIPLICATIVE INVERSE OF X WILL BE 1/X
Step-by-step explanation:
A bookshelf holds 5 sports magazines and 5 architecture magazines.
When 3 magazines are taken from the shelf at random, without replacement, what is the probability that all 3 are architecture magazines?
3/25
1/125
1/12
1/8
Answer:
1/12
Step-by-step explanation:
The first time the person picks a magazine, they have a 5/10 chance of drawing an architecture magazine.
The second time, they have a 4/9 chance because they have already removed one magazine from the bookshelf
The third time, they have a 3/8 chance because they have already removed 2 magazines.
Multiply all of the probabilities together
5/10 * 4/9 * 3/8 = 60/720
Simplify:
60/60 / 720/60 = 1 / 12
Hope this helps!
what is the value of the 5 in the number 624.95
Answer:
5 Hundredths
Step-by-step explanation:
The place value of 5 in 624.95 in 5 Hundredths or 0.05
PLEASE HELP WILL MARK YOU!!!
Answers:
a = 69b = 47c = 116d = 93e = 86==========================================================
Explanation:
For now, focus on the triangle with angles 'a', 71 and 40 degrees.
Recall that for any triangle, the inside angles always add to 180
a+71+40 = 180
a+111 = 180
a = 180-111
a = 69
---------------
Notice how angles b and 133 are adjacent and form a straight angle. This makes them supplementary. Meaning they add to 180
b+133 = 180
b = 180-133
b = 47
---------------
Let angle f be adjacent to angle c, and part of the triangle with angles 'a' and b.
Use the rule mentioned in the first section
a+b+f = 180
69+47+f = 180
116+f = 180
f = 180-116
f = 64
Now we can find angle c, because angles f and c are supplementary
c+f = 180
c+64 = 180
c = 180-64
c = 116
We could also use the remote interior angle theorem to say that a+b = c, so c = a+b = 69+47 = 116
---------------
Next, focus your attention on the 140 degree angle. The missing adjacent angle to this is 180-140 = 40 degrees
Now focus on the triangle that has angles d, 40, and 47. The "40" being what we just calculated in the previous paragraph.
We'll do the same thing as before
d+40+47 = 180
d+87 = 180
d = 180-87
d = 93
---------------
The angle just above angle d is also the same (vertical angles). This upper triangle has angles 40, d and g, where g is unknown. Let's find it.
40+d+g = 180
40+93+g = 180
133+g = 180
g = 180-133
g = 47
The vertical angle across from this is also 47 degrees.
Similarly, we can move that angle b over to its vertical pairing counterpart.
The smallest triangle at the very top has angles e, b, and g
e+b+g = 180
e+47+47 = 180
e+94 = 180
e = 180-94
e = 86
In the accompanying diagram of parallelogram ABCD, m
Answer:
m<D = 120°
Step-by-step explanation:
Adjacent angles are supplementary in a parallelogram.
Thus:
2x + 12 + 5x = 180°
Collect like terms
7x + 12 = 180
7x = 180 - 12
7x = 168
x = 168/7
x = 24
✔️m<D = 5x° (opposite angles in a parallelogram are equal)
Plug in the value of x
m<D = 5(24)
m<D = 120°
Solve the following equation using the quadratic formula. x^2 - 8x + 97 = 0
Answer:
undefined in the set of real numbers
Step-by-step explanation:
See image below:)
The cost of 120 PSP is Dh 15000. Find the cost of one PSP
Answer:
125
Step-by-step explanation:
120 units cost 15000.
so, 1 unit is then the 120th part of the total costs.
price of 1 unit = 15000/120 = 1500/12 = 125
4x+9=41 x is equal to
Answer and Step-by-step explanation:
Simply solve for x (very easy to do).
4x + 9 = 41
Subtract 9 from both sides of the equation.
4x = 32
Divide both sides of the equation by 4.
x = 8
x is equal to 8.
#teamtrees #PAW (Plant And Water)
Use this table to find how much tax you need to pay on a taxable income of 40,000
Answer:
$14,386.25
Step-by-step explanation:
PLEASE HELP !!! URGENT
Answer:
The answer is B--> 111 degrees
Answer:
Here
X=75+36(Exterior angle of a triangle is equal to sum of interior opposite angle)
X=111
factorise m2+10m-24 please step by step
m^2+10m-24
=m^2+12m-2m-24
=m (m+12)-2 (m+12)
=(m-2)(m+12)
Answer:(m-2)(m+12)
if wrong correct me pls
I hope it helps mate
HAVE A GREAT DAY
#Liliflim
let f(x)=x-1 and g(x)=x^2+1
f(g)=___
Answer:f(g)=2
Step-by-step explanation:
A cylinder has a base radius of 6 feet and a height of 12 feet.What is it's volume in cubic feet, to the nearest tenths place
Answer:
[tex]volume = \pi {r}^{2} h \\ = 3.14 \times {6}^{2} \times 12 \\ = 1357.2 \: {ft}^{3} [/tex]
Ella stacks two boards under a table to make it level. One board is į inch thick. The
other board is inch thick. Which equation most closely estimates the thickness of
5
12
the two boards?
Step-by-step explanation:
the problem description is incomplete or wrongly copied.
we don't know the thickness of the boards, and we cannot understand what we need to calculate, and what the answer options are.
Express the given set in roster form.
Answer:
E= { 13 , 14 , 15 , .........94 }Step-by-step explanation:
hope it may help u
please mark as brainlist
(๑˙❥˙๑)
Monica has a triangular piece of fabric. The height of the triangle is 27 inches and the triangle's base is 18 inches. Monica says that the area of the fabric is 486 in2. What error did Monica make? Explain your answer by entering the correct area of the fabric.
Monica forgot to multiply by___
The area of the fabric is ____ in.2
Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false.
(4 points each.)
4 ⋅ 6 + 5 ⋅ 7 + 6 ⋅ 8 + ... + 4n( 4n + 2) = quantity four times quantity four n plus one times quantity eight n plus seven divided all divided by six
12 + 42 + 72 + ... + (3n - 2)2 = quantity n times quantity six n squared minus three n minus one all divided by two
For the given statement Pn, write the statements P1, Pk, and Pk+1.
(2 points)
2 + 4 + 6 + . . . + 2n = n(n+1)
1. The given series is
4 ⋅ 6 + 5 ⋅ 7 + 6 ⋅ 8 + ... + 4n( 4n + 2) =
For n=1
L.H.S=4.6=24
R.H.S=[4×5×15]÷6
=300÷6
=50
So, for n=1,
L.H.S≠ R.H.S
Since the given expression is true for n=1 ,
So , the given series is untrue.
we should replace R.H.S by=4(n+1)(n+2)(4n-3)²
2.
12+42+72+.......+(3 n -2)2=
For n=1,
L.H.S=12
R.H.S=1×(6-3-1)/2
=2/2
=1
As L.H.S≠ R.H.S
We should Replace R.H.S by [(3 n-1)(3 n-2)]2
3.The given sequence is
2+4+6+....+2n=n(n+1)
L.H.S
P(1)=2
R.H.S
1×(1+1)
=1×2
=2
( b) L.H.S
P(n)=2+4+6+.....2 k
This is an A.P having n terms.
tex]S_{n}=
= n(n+ 1)
R.H.S=n(n+1)
So, P(k)=k(k+1)
(c) P(k+1)=2+4+6+.......+2(k+1)
This is an A.P having (k+1) terms.
=(k+1)(k+2)
So, P(k+1)= (k+1)(k+2)
(Btw this is not my answer)
When individuals in a sample of 150 were asked whether or not they supported capital punishment, the following information was obtained. Do you support capital punishment? Yes No No Opinion Number of individuals 40 60 50 We are interested in determining whether or not the opinions of the individuals (as to Yes, No, and No Opinion) are uniformly distributed. 12. Refer to Exhibit 12-1. The calculated value for the test statistic equals a. 2 b. -2 c. 20 d. 4 Answer: 13 Refer to Exhibit 12-1. The number of degrees of freedom associated with this problem is a. 150 b. 149 c. 2 d. 3 Answer: Refer to Exhibit 12-1. The p-value is a. larger than 0.1 b. less than 0.1 c. less than 0.05 d. larger than 0.9 Answer: Refer to Exhibit 12-1. The conclusion of the test (at 95% confidence) is that the
a. distribution is uniform
b. distribution is not uniform
c. test is inconclusive
d. None of these alternatives is correct.
Answer:
hvbiknbtUKvfnvghj
vhkbn
bhjn
bhmm
bhnm
hgg
bjj
bhj
Will mark Brainlest (if you were to roll the dice one time ,what is the probabilty that it will land on an even number) step by step pls
we learned this in our lower i dont remember exactly but i think~
the probability that it will land on an even number will be 3 as there are 3 odd number and 3 even number
Answer:
1/2
Step-by-step explanation:
n(E) = 9
n(S) = 18
p(E1) = [tex]\frac{n(E1)}{n(S)}[/tex]
=9/18
=1/2
formula of simple intrest
Question 3 (1 point)
3
A sample proportion is calculated from a sample size of 3. How large of a sample
would we need in order to decrease the standard error by a factor of 8?
1) 93
2) 51
3) 24
4) 192
5) 8
In need help with the answer
Answer:
2
Step-by-step explanation:
there is 2: 3 1
4
Which algebraic expression is a polynomial?
Answer:
the last one is a polynomial
Step-by-step explanation:
A line through the point (2,5) forms a right triangle with the x-axis
and y-axis in the 1st quadrant. Determine the equation of the line that
will minimize the area of this triangle.
9514 1404 393
Answer:
5x +2y = 20
Step-by-step explanation:
Suppose 'a' is the x-intercept of the line.
Then the slope is given by the slope formula ...
m = (y2 -y1)/(x2 -x1)
m = (0 -5)/(a -2)
And the y-intercept is ...
b = y -mx = 5 -(-5/(a-2))(2) = 5 +10/(a -2)
The area of the triangle is half the product of 'a' and 'b', so is ...
A = 1/2ab
A = 1/2(a)(5 +10/(a -2)) = 2.5a +5a/(a-2)
The area is minimized when the derivative of this is zero.
A' = 2.5 -10/(a -2)^2 = 0
Solving for 'a' gives ...
(a -2)^2 = 10/2.5 = 4
a = 2 + 2 = 4 . . . . . . . . . . . x-intercept
b = 5 +10/(4 -2) = 10 . . . . . y-intercept
m = -5/(4 -2) = -5/2 . . . . . . slope
An equation of the line is ...
y = -5/2x +10 . . . . . slope-intercept form
5x +2y = 20 . . . . . standard form
__
You may have noticed that the x-and y-intercepts are double the x- and y-values of the given point. That is, the given point is the midpoint of the hypotenuse of the triangle with minimum area. That is the general solution of this sort of problem.
Select all expressions equivalent to “-6z+(-5.5)+3.5z+5y-2.5.
*answer choices*
A.-8+5y+2.5z
B.-2.5z+5y-8
C.-8+5y+(2.5z)
D.2.5y+(-2.5z)-5.5
E.5y-8-2.5z
Answer:
B.) -2.5 z + 5 y - 8
Step-by-step explanation:
- 6 z + ( - 5.5 ) + 3.5 z + 5 y - 2.5
combine like terms
- 6 z + 3.5 z + 5 y -5.5 - 2.5
- 2.5 z + 5 y - 8
Answer this and go in comments and I say your cool.2847474747273747474747477754523970+72r7573747473747362538492949276
Answer:
i know im cool...you don't gotta tell me
2847474747273747474747477754523970+72r7573747473747362538492949276
have a nice day
Select the statement that represents all the solutions of the inequality. d < 7 all rational numbers equal to 7 all integers less than 7 all rational numbers greater than 7 all rational numbers less than 7
the answer is :
all rational numbers less than 7
have a good day <3
Aspongebob at the bottom of the sea
Step-by-step explanation:
In a plain, robust, conversational style, the author known as “Elena Ferrante” has captivated readers worldwide with her chronicle of a complicated friendship between two women.
Answer:
Step-by-step explanation:
anything 1-6
Two competing companies are having sales on laptops. Laptop #AX330M has a retail price of $2,100. The Buy Less is advertising #AX330M for 15% off, while Sell More has stated they will match any competitor’s advertised special and take an additional 10% off of the competitor’s advertised price. How much money is saved by purchasing the laptop from Sell More instead of Buy Less?
Answer: I only need the points :) <3
Step-by-step explanation: Two competing companies are having sales on laptops. Laptop #AX330M has a retail price of $2,100. The Buy Less is advertising #AX330M for 15% off, while Sell More has stated they will match any competitor’s advertised special and take an additional 10% off of the competitor’s advertised price. How much money is saved by purchasing the laptop from Sell More instead of Buy Less?
Help me with this math
Answer:
5196
Step-by-step explanation:
So it's 5040+(-156)
We have to find the absolute value
|-156|=156
5040+156=5196
A parabolic satellite television antenna has a diameter of 16 feet and is 1 foot deep. How far is the focus from the vertex
Answer:
[tex]P=16ft[/tex]
Step-by-step explanation:
From the question we are told that:
Diameter [tex]d=16ft[/tex]
Depth [tex]dp=1ft[/tex]
Generally the equation for a Parabola is mathematically given by
[tex]y=ax^2[/tex]
Since of the parabola has
Diameter [tex]d=16ft[/tex]
Depth [tex]dp=1ft[/tex]
Therefore it passes through
[tex]x=(8,1)[/tex]
Therefore
[tex]1=a(8)^2[/tex]
[tex]a=\frac{1}{64}[/tex]
Since P(distance from focus to the vertex)
[tex]a=\frac{1}{4p}[/tex]
Substituting
[tex]\frac{1}{64}=\frac{1}{4p}[/tex]
[tex]P=16ft[/tex]
choose the appropriate postulate of the following pair lf triangles are congruent.
Answer:
ASA
Step-by-step explanation:
they share the side in the middle (reflexive property) and have two congruent angles
