Answer:
to what?
Step-by-step explanation:
Find the median
1, 3, 5, 7, 8, 10
--------------------------------------
Find the median
12, 15, 15, 16, 17, 19, 20
Answer:
on which one
Step-by-step explanation:
Answer:
5 and 16
Step-by-step explanation:
assistance with trying to figure out how to solve this question.
Answer:
137.24 mm²
Step-by-step explanation:
Big square = 9x9=81
Small rectangle at bottom = 2x3=6
Quarter Circle = 1/4(3.14)(8)(8)=50.24
81+6+50.24=137.24
What is the center and radius of the circle with the given equation x^2 + y^2 + 14x - 12y +69 = 0
Answer:
Center is (7,-6)
Our radius is 4
Step-by-step explanation:
Subtract 69 to both sides
Complete the square of the x terms and y terms.
[tex] {x}^{2} + 14x[/tex]
[tex] {y}^{2} - 12y[/tex]
(To complete the square divide the coefficient by 2 and square it).
[tex] (\frac{14}{2} ) {}^{2} = 49[/tex]
[tex]( \frac{ - 12}{2} ) {}^{2} = 36[/tex]
Add those terms to the full equation. Add 36 and 49 to the right side as well
[tex] {x}^{2} + 14x + 49 + {y}^{2} - 12y + 36 = 16[/tex]
Simplify the x and y terms into a binomial.
[tex](x + 7) {}^{2} + (y - 6) {}^{2} = 16[/tex]
Set the left side equal to zero separately to find the center and take the square root of the right side to find the radius.
[tex]x + 7 = 0[/tex]
[tex]x = - 7[/tex]
[tex]y - 6 = 0[/tex]
[tex]y = 6[/tex]
[tex]16 = {x}^{2} [/tex]
[tex]4 = x[/tex]
So our center is (-7,6)
Our radius is 4.
x2-12x-3=10 please help
Answer:
x= 13, -1
Step-by-step explanation:
what is the H.C.F of 2³×3²
Plzz help me I am timed
Answer:
the answer is b which is 5 ten dollar bill
Which of the following statements is TRUE about the relationship between the numerical values?
A. The opposite of 15 is equal to 15 greater than zero.
b. 15 greater than zero is less than the opposite of 15.
c. 15 greater than zero is farther from 0 on a number line than the opposite of 15.
D. The opposite of 15 is the same distance from zero on a number line as 15 greater than zero
Answer:
D is the answer
Step-by-step explanation:
-15 Is the same as 15 its just negative but they have the same distance.
Please help! Add. Simplify the answer and write it as a mixed number. 3 4/5 + 1 4/15
Answer:
5 1/15
Step-by-step explanation:
3 4/5 + 1 4/15 = ?
convert 3 4/5 to a common denominator of 15:
3 12/15 + 1 4/15 = 4 16/15
simplified = 5 1/15
Fran’s snowmobile weighs 0.8 ton. The weight of the snowmobile is
pounds
Answer: 0.8 ------ 1,600
Step-by-step explanation:
Please help ASAP
Trigonometry
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
7)
now decide which parts we know and what we want to slove for and pick the function that has those in it
we also know that small angle down at the point b/c we can use that the inside of trianle angles add to 180
180 = 75 + 90 + X
15° = X
where x is the angle at that sharp point on the triangle
I want to use that 15° angle in one of the above formulas as it's Opposite of that side we want to know, and also adjcent to that side we know , so i'll pick TOA since it's got all of those in it. Opp = x for this triangle
Tan(15) = Opp / 15
15* Tan(15) = Opp
4.0192 = Opp
so that's x
x = 4.0162 units , what ever they are
8)
the angle is 43° and we know the adjacent side and we want the Hypotenuse , now i'll pic CAH since it's got those pieces in it
Cos(43)= 31 / Hyp
some algebra just to switch Hyp out of the denominator
Hyp = 31 / Cos(43)
some tapping on my calculator
Hyp = 41.714
That's x for the second triangle
x = 41.71 units , what ever they are
:)
Consider the inequality x > −1.5.
Determine a value of x makes this inequality true.
Step-by-step explanation:
all intiger which is greater than-1.5
Penelope invested 60% of her retirement account in stocks and 40% in gold. Penelope believes that the return to stocks over the next 12 months is normally distributed with mean rate of return of 15% and standard deviation of return of 25%. Penelope also believes that the return to gold over the next 12 months is normally distributed with mean rate of return of 30% and standard deviation of return of 40%. Finally, Penelope believes that the return to stocks and the return to gold are independent.
1. According to Penelope's beliefs, what are the mean rate of return and the standard deviation of return ot her portfolio?
2. What is the probability that Penelope's portfolio will earn at least 12% in the next 12 months?
Answer:
1) mean = 21, standard deviation σ = 21.9317
2) the probability that Penelope's portfolio will earn at least 12% in the next 12 months is 0.6591
Step-by-step explanation:
Given the data in the question;
1. According to Penelope's beliefs, what are the mean rate of return and the standard deviation of return of her portfolio?
Mean μ = Return = ( 60% × 15) + ( 40% × 30 ) = 9 + 12 = 21
mean = 21
standard deviation σ = √( (0.6² × 25²) + ( 0.4² × 40² ) )
standard deviation σ = √( (0.36 × 625) + ( 0.16 × 1600 ) )
standard deviation σ = √( 225 + 256 )
standard deviation σ = √481
standard deviation σ = 21.9317
2) What is the probability that Penelope's portfolio will earn at least 12% in the next 12 months
so we are to find P( X > 12 )
converting into standard normal variable;
⇒ P( Z > X-μ / σ )
= P( Z > ( 12-21 / 21.9317 ) )
= P( Z > ( -9 / 21.9317 ) )
= P( Z > -0.41 )
FROM z-score table; P( Z > -0.41 ) is 0.3409
P( X > 12 ) = 1 - 0.3409
P( X > 12 ) = 0.6591
Therefore, the probability that Penelope's portfolio will earn at least 12% in the next 12 months is 0.6591
Paula made this model to show the sum of two mixed numbers. Write the addition equation shown by the model and solve it.
You can write out the fraction names or use the forward slash (/) on your keyboard to represent the fraction bars.
A number line from zero to one partitioned into thirds. There is a gray rectangle above the number line stretching from zero to three and two thirds. To the right is a darker gray rectangle above the number line stretching from three and two thirds to six and one third.
Your answer:
Answer:
[tex]3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}[/tex]
Step-by-step explanation:
Given
See attachment for number line
Required
Determine the model
From the attachment, we can see that each partition is 1/3
The gray rectangle covers 11 partitions.
So:
[tex]Gray = 11 * \frac{1}{3}[/tex]
[tex]Gray = \frac{11}{3}[/tex]
Express as a mixed number
[tex]Gray = 3\frac{2}{3}[/tex]
The black rectangle covers 8 partitions
So:
[tex]Black= 8 * \frac{1}{3}[/tex]
[tex]Black= \frac{8}{3}[/tex]
Express as a mixed number
[tex]Black= 2\frac{2}{3}[/tex]
So, the model is:
[tex]Gray + Black = Total[/tex]
Where Total is the point where the black rectangle stops
[tex]3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}[/tex]
Gustavo also went to the same store and has a 30% off
coupon. He bought a hoodie and saved $8.10 after
using the coupon. What is the original price of the
hoodie?
Answer:
Original Price was $27.00
Step-by-step explanation:
27*.30=8.10
Which of the following figures shows a 1/4 -turn in the clockwise direction?
How many lemons are needed to fill 375 ml bottle of lemon juice if 2 large lemons fill 100ml
Answer:
Answer:
7 and half
Explanation:
cuz if the two lemin fill two then one will fill 50ml ,
then,7×50=350 the remaining is 25 ml which is half of 50 ml so this is half of one lemon.so the answer is 7 and half
Answer:
7 and a half
Step-by-step explanation:
2 lemons=100 ml
?=375 ml
Cross multiplication to get ? which will bring
(375×2)÷ 100 giving 7 ½
Find the slope of the line 8x-2y=11
a copy machine prints 10 copies per 1/4 at what rate in copies per minute does the copy machine print?
Write and simplify an algebraic expression for the rectangle with sides of 2x and 6x-1
4x + y=7
2x - 7y=1
If (x,y) is the solution to the given system of equations, what is the Value of X?
Answer:
[tex]x = \frac{5}{3} [/tex]
Can you help me with this if you’re a smart person
jacob works part time as a cashier at a drugstore. his gross pay for the year was $8000. Based on his income level, the federal tax rate he’ll need to pay is 10%. For his state taxes, Jacob will need to pay 5% and the FICA rate is 7.65%. What is jacobs net pay for the year?
A) 1,812
B) 6,988
C) 6,188
D) 7,200
The answer will be option B. The net pay for the jacob will be equal to $6,188.
What is gross pay?The amount paid by any company to the employees without any deductions like taxes or charges is called as the gross pay.
It is given that:-
Gross pay for the year was $8000
The federal tax rate he’ll need to pay is 10%.
Jacob will need to pay 5% and the FICA rate is 7.65%
So the total deductions from the gross pay will be calculated as:-
Deductions = 8000 X 10% +8000 x 5% +8000 x 7.5%
Deductions = 800+400+612=$1812
The net pay will be = 8000-1812 =$ 6188
Hence the net pay for the jacob will be equal to $6,188.
To know more about Gross pay follow
https://brainly.com/question/13793671
#SPJ2
Insert brackets to make this statement true: 16 - 10 x 4 +2 = 36
Answer:
{16-10}{4+2}=36 For me, I use parenthesis () instead: (16-10)(4+2)=36
Step-by-step explanation:
With parenthesis, you don't have to put the multiply sign between the 2: (16-10) x (4+2) --> (16-10)(4+2).
Which of the following examples has a unit rate of 70 miles per hour? Select all
that apply.
A) 210 miles in 3 hours
B) 420 miles in 6 hours
C) 280 miles in 5 hours
D) 560 miles in 8 hours
E) 560 miles in 7 hours
Answer:
A, B and D are the answers.
Answer:
A, B, D.
Step-by-step explanation:
Determine if the following statements are true or false. If true give a reason or cite a theorem and if false, give a counter example.
a. If {a _n} is bounded, then it converges.
b. If {a _n} is not bounded, then it diverges.
c. If {a _n} diverges, then it is not bounded
Give an example of divergent sequences {a _n} and {b _n} such that {a _n + b _n} converges
Answer:
a. False the series [tex]\sum\limits_{i=1}^\infty (-1)^n[/tex]is bounded but does not converge
b. False, xₙ = n + (-1)ⁿ⁻¹(n - 1) does not diverge to infinity but it is not bounded for n ≥ 1
c. False some bounded sequences are divergent
An example of divergent sequences, aₙ, and bₙ, such that aₙ + bₙ converges is [tex]a_n = \sum\limits_{n} \dfrac{1}{n} , \, b_n = \sum\limits_{n} \dfrac{-1}{n}[/tex]
[tex]\sum\limits_{n} \dfrac{1}{n} + \sum\limits_{n} \dfrac{-1}{n}[/tex] is convergent
Step-by-step explanation:
Find the measure of a.
Answer: 104
Step-by-step explanation:
It is a full circle
Circle = 360
We have 126 and 26 so
360 - (126+26) = 208
Since the a's are opposite thet means they are equal ( I forgot the law name)
208 divided by 2
104
Stefan sells Jin a bicycle for 135 and a helmet and a helmet for 19 the total cost for Jin is 140% of Stefan spent originally to buy the bike and helmet how much did Stefan spend originally how much money did he make by selling the bicycle and helmet to Jin
Answer:
Originally Stefan spent $ 110, and made $ 30 selling the bike and helmet to Jin.
Step-by-step explanation:
Given that Stefan sells Jin a bicycle for $ 135 and a helmet for $ 19, and the total cost for Jin is 140% of what Stefan spent originally to buy the bike and helmet, to determine how much did Stefan spend originally and how much money did he make by selling the bicycle and helmet to Jin, the following calculation must be performed:
100 + 140 = 240
140 = 135 + 19
100 = X
(100 x (135 + 19)) / 140 = X
100 x 154/140 = X
15,400 / 140 = X
110 = X
So originally Stefan spent $ 110, and made $ 30 selling the bike and helmet to Jin.
A farmer recently sold a large plot of land. The sale decreased his total acreage by 10%.
Lett be the original acreage. Find two equivalent expressions that will give the new acreage.
Answer: t - 0.1t and 0.9t
Step-by-step explanation:
Let the original acreage be represented by t.
Since there was a sale which ended up reducing the acreage by 10%, the expression for the new acreage will be:
= t - (10% × t)
= t - (0.1 × t)
= t - 0.1t
= 0.9t
Therefore, the equivalent expressions will be "t - 0.1t" and 0.9t
How many groups of of 5/6 are in 1
Answer:
6/5
Step-by-step explanation:
to find the number of 5/6 's in 1 , divide 1 by by 5/6 . when dividing by a fraction , rewrite it as multiplying by the reciprocal
Which of the lists of letters all have rotational symmetry?
C,H, N, X
N.O.S. Z
H.J.N.S
F.H. X. Z
Answer:
N, O, S, Z, which will be B
Step-by-step explanation:
