Answer: £4,164
Step-by-step explanation: multiply 896 by 4 to get £3,584 next add 580 to 3,584 to get £4,164
Answer: 4,164
Step-by-step explanation: I am confused if the 896 is a percent or the money she owes every year, now here is the explanation.
Emily took the £580 and after the 4 years she owes 896*4 = £3,584 plus the original £580 which is £4,164
If it it without the original £580 then the answer is 896*4 = £3,584
If that is not correct then i am sorry
help help help help math math
Answer:
[tex]2916^3\\[/tex]
Step-by-step explanation:
As the formula is [tex]\frac{4}{3}\pi \cdot r^3[/tex]
But we take [tex]\pi[/tex] as 3 so it would be [tex]\frac{4}{3}3\cdot r^3[/tex]
And the radius is 9 half of Diameter
We would write it like this
= [tex]\frac{4}{3}3\cdot 9^3[/tex]
Then when we solve it would become [tex]2916^3\\[/tex]
I hope this helps :)
The heights of NFL football players are approximately normally distributed with a mean of 71.5 inches and a standard deviation of 2.3 inches. The middle 75% of all NFL players have heights between
(A) 68.9 inches to 76.1 inches
(B) 69.2 inches to 73.8 inches
(C) 68.9 inches to 74.1 inches
(D) 66.9 inches to 76.1 inches
(E) None of the above give an accurate interval
Answer:
I would say B
Step-by-step explanation:
I'm sorry, I don't have an explanation
The middle 75% of all NFL players have heights between in (A) 68.9 inches to 76.1 inches.
What is Standard score?It is the representation of a data value in terms of distance from standard deviation from the mean. It is also called z-score.
It measures how many standard deviations the measure is from the mean. After finding the z-score, we have to look at the z-score table and then the p-value associated with this z-score, which is the percentile of X.
Given that Mean = μ = 64.4 inches
Standard Deviation = σ = 2.3 inches
We have to find the standard score for players height;
So, Let x = 75% = 0.75
Therefore the formula for z-score is:
x - mean / S.D
0.75 = x - 71.5/2.3
x = 76.10
Rounding off to nearest hundredth
z-score = 76.1
Hence, The middle 75% of all NFL players have heights between in
(A) 68.9 inches to 76.1 inches.
Learn more about z-score at:
brainly.com/question/10940255
#SPJ2
Please answer it....
If [tex]a\ \textless \ b[/tex], there are three ordered pairs of positive integers [tex](a,b)[/tex] that satisfy [tex]a^{2}+b^{2}=10(123)^{2}[/tex] If two of these ordered pairs are [tex](39,387)[/tex] and [tex](201,333)[/tex]. What is the third such ordered pair?
The third ordered pair that satisfy the given equation is (123, 369).
The given parameters;
[tex]a^2 + b^2 = 10(123)^2[/tex]First pair of the equation, = (39, 387)Second pair of the equation = (201, 333).The third ordered pair of the equation can be determined by using general equation of a circle;
[tex]a^2 + b^2 = r^2\\\\a^2 + b^2 = (123\sqrt{10} )^2\\\\a^2 + b^2 = (\sqrt{151290} )^2\\\\a^2 + b^2 = 151290\\\\a^2 = 151290- b^2\\\\ a= \sqrt{151290 - b^2}[/tex]
The radius of the circle is calculated as;
[tex]r^2 = 151290\\\\r = \sqrt{151290} \\\\r = 388.96[/tex]
The value of a can be obtained by randomly choosing numbers less than the radius as values of b.
[tex]b < r\\\\b < 388.96[/tex]
[tex]a = \sqrt{151290 \ - \ (387)^2} \\\\a = 39\\\\(39, \ 387)\\\\a = \sqrt{151290 \ - \ (333)^2}\\\\a = 201\\\\(201, \ 333)\\\\a = \sqrt{151290 \ - \ (369)^2}\\\\a = 123\\\\(123, \ 369)[/tex]
Thus, the third ordered pair that satisfy the given equation is (123, 369).
Learn more about equation of circle here: https://brainly.com/question/1506955
work out the surface area of this solid prism
Answer:
5220
Step-by-step explanation:
1- 20x36/2 is 360
(360 x 2 is 720)
2. 25x50 is 1250
3. 29x50 is 1450
4. 36x50 is 1800
720+1250+1450+1800 is 5220
find the x and y intercepts of the following linear function and draw the graph: 2x-8y=-18
Answer:
Step-by-step explanation:
2x - 8y = - 18
- 8y = - 2x - 18
y = ¼x + 2¼
y intercept occurs when x = 0, so b = 2¼ (0, 2¼)
x intercept occurs when y = 0
0 = ¼x + 2¼
¼x = - 2¼
x = -9 (-9, 0)
Which sentence is punctuated correctly? Finally Juno, and her satellite were able to return home to her family. Finally Juno and her satellite were able to return home to her family. Finally Juno and her satellite, were able to return home to her family. Finally, Juno and her satellite were able to return home to her family.
Answer:
Finally, Juno and her satellite were able to return home to her family.
Step-by-step explanation:
Answer:
Finally, Juno and her satellite were able to return home to her family
Step-by-step explanation:
Function 1 is defined by the equation y=-1/4r-5
Step-by-step explanation:
and what is function 2 ?
but I think I can risk a guess based on the little piece of the graph I can see.
the y-intercept is simply the point on the y-axis (that means x=0), where the line crosses.
in other words, it is the y-value when x = 0.
the y-intercept of function 1 is therefore -5.
and the picture suggests that the visible line would cross the y-axis at about y=-6.
as -5 is greater than -6, function 1 has the greater y-intercept.
please i need help with this
Answer:
1.) Smith
2.) Johnson
Answer:
Step-by-step explanation:
72 is 45% of what number?
Answer:
160
Step-by-step explanation:
we have, 45%×x = 72
or, 45÷100×x = 72
multiplying both side by 100 and diving both side by 45,
we have x= 72×100÷45
x= 160 ANSWERpythagorean theorem to find the length of the hypotenuse in the triangle 16 30
Answer:
the answer is 34.
Step-by-step explanation:
A six-sided number cube is rolled 500 times. The results are 280 even numbers and 220 odd numbers. How does the relative frequency of rolling an even number compare to the theoretical probability? Select from the drop-down menus to correctly complete the statements. The relative frequency of rolling an even number is Choose... the theoretical probability. The theoretical probability is Choose... and the relative frequency is Choose... .
Answer:
Choice B) experimental probability is larger
Step-by-step explanation:
There are 3 odd numbers (1,3,5) out of 6 total (1,2,3,4,5,6) on the number cube. So theoretically, the chances of rolling an odd number are 3/6 = 1/2 = 0.5
When we do the experiment, we roll an odd number 325 times out of 500 trials total. So the experimental probability is 325/500 = 0.65
Comparing the results of 0.5 and 0.65, we see that 0.65 is larger. So the experimental probability is larger.
Note: with a large number of trials, the experimental probability should get closer and closer to the theoretical probability. This is assuming that all trials are independent of one another and the number cube is properly weighted.
Answer:
1: greater than
2: 0.5
3: 59%
Step-by-step explanation:
I took the test and here is da proof:
{I left it blank on purpose so other can see the right answer (: }
plot (-7,0) on a graph
Answer:
To go to (-7,0) on a graph on the x axis go to the left 7 times and plot your point
Step-by-step explanation:
[tex] \: \: \: \: [/tex]
To plot (−7,0) , start at the origin (0,0) and move left 7 units and up 0 units. To plot (7,0) , start at the origin (0,0) and move right 7 units and up 0 units.hope it helpsTrue or false is 6x10^5 is 20 times as much as 3x10^4
answer
TRUE
HOPE IT WILL HELP YOU
The equation y = 1/4x represents a proportional relationship. What is the constant of proportionality?
Answer:
The constant of proportionality is k=1/4
Step-by-step explanation:
For the equation y=kx, y varies directly with x with the constant of proportionality k. Therefore, k=1/4 is the answer.
At a local college, 204 of the male students are smokers and 306 are non-smokers. Of the female students, 180 are smokers and 420 are non-smokers. A male student and a female student from the college are randomly selected for a survey. What is the probability that both are smokers?
Step-by-step explanation:
Male ratio: 204:306 = 2:3 (66%)
Female ratio: 180:420 = 3:7 (42%)
Hope that helps
Answer:
both are non smokers is 0.48.
PLEASE HELP I WILL GIVE BRAINLEST AND 20 POINTS PLEASEEEE
Answer:
Question 4: Which equation is parallel to the above equation and passes through the point (35, 30)
[tex]y=[/tex] [tex]\frac{5}{7} x + 5[/tex] is the correct answer, I found this by inputting the x and y value of the coordinate (35, 30) onto the equation and solving for y-intercept since the slope of all equations is the same (since it's traveling parallel)
[tex]30 = \frac{5}{7} (35) + y\\30 = 25 + y\\5 = y[/tex]
so the equation would be [tex]y=[/tex] [tex]\frac{5}{7} x + 5[/tex]
Question 5: Which equation is perpendicular to the above equation and passes through the point (35, 30)
[tex]y=\frac{-7}{5} x+79[/tex] is the correct answer, I found this using the same method as before, input coordinate values into the equation and solve for the y-intercept (The only thing changed from the last answer is the opposite reciprocal slope).
[tex]30 = \frac{-7}{5}(35) + y \\30 = -49 + y \\79 = y[/tex]
so the equation would be [tex]y=\frac{-7}{5} x+79[/tex]
solve the equation 5-x=8
Answer:
x = -3
Step-by-step explanation:
1. 5 - x = 8
2. +x +x
3. 5 = x + 8
4. -8 -8
5. x = -3
Simplify the expression
3+4·10 – 8
Answer:
35
Step-by-step explanation:
one word: PEMDAS. technically they are all a bunch of words but whatever...
P: parentheses
e: exponents
m: multiply
d: divide
a: add
s: subtract
first we multiply 4*10 since that's first on the list
4*10=40
we have
3+40-8
then we add
3+40
which is 43
then we subtract 8 from it as we have 43-8
which is in the end:
35
The car arrives from city A to city B in 3 hours. How many hours will it take to go the same way if you increase the speed by 20%?
Given :-
The car arrives from city A to city B in 3 hours.Speed is increased by 20% .To find :-
The new time taken .Solution :-
Let us assume the distance between A and B be x and the initial speed by y . After 20% increase in the speed , new speed will be ,
[tex]\blue{\dashrightarrow} [/tex] Speed = 120y/100
[tex]\blue{\dashrightarrow} [/tex] Speed = 6/5y
• According to the Question ,
[tex]\red{\dashrightarrow} [/tex] Distance = Speed * Time
[tex]\blue{\dashrightarrow} [/tex] x = y * 3 hrs
[tex]\red{\dashrightarrow} [/tex] x = 3y
And ,
[tex]\blue{\dashrightarrow} [/tex] t = Distance/Speed
[tex]\red{\dashrightarrow} [/tex] t = x ÷ (6y/5)
[tex]\blue{\dashrightarrow} [/tex] t = 5x/6y
[tex]\red{\dashrightarrow} [/tex] t = 5 (3y)/6y
[tex]\blue{\dashrightarrow} [/tex] t = 5/2 hrs
[tex]\red{\dashrightarrow} [/tex] t = 2.5 hrs
Hence now it will take 2.5 hrs to go from A to B .
Answer:
Step-by-step explanation:
Let's say the distance between A and B is 3 miles (3, because I see a need to divide the distance by 3 hours to determine the car's speed). The actual distance makes no difference in the answer, since it is asking for a relative speed change (20%).
We find the speed to be 3 miles/3 hours, or 1 mph. A 20% increase in speed would be (1.20)(1) = 1.20 mph.
We can find the time for a 1.2 mph car to go 3 miles by:
(3 miles)/(1.2 mph) = 2.5 hours
=====
[Note that if we assumed a different distance, say 6 miles, we'd get the same result:
6 miles/3 hours = 2 mph
1.2*2 = 2.4 mph
New time = 6/2.4 = 2.5 hours; same as before]
What term best describes the graph of y=-15
Step-by-step explanation:
x,y = 0,-15
for another you have to draw Cartesian plane
Answer:
The answer is:- Zero slope
Step-by-step explanation:
Hope it helps you ✌️
Volume of the pedestal box
Answer:
112 in.³
Step-by-step explanation:
This box is a combination of two rectangular prisms:
bottom - 9 in. by 2 in. by 4 in.
top - 5 in. by 2 in. by 4 in.
total volume = 9 in. × 2 in. × 4 in. + 5 in. × 2 in. × 4 in.
total volume = 112 in.³
Answer:
its 112
Step-by-step explanation:
first see how it looks like 2 boxes on top of each other, break it into major parts then multiply depth by wighth by highth
THE LENTH OF A RECTANGLE IS 6 CM AND ITS AREA IS (6XPLUS18) SQUARCM WRITE A EXPPRESIONFOR THE WIDTH
[tex]\textit{area of a rectangle}\\\\ A=Lw ~\begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ L=\stackrel{cm}{6}\\ A=\stackrel{cm^2}{6x+18} \end{cases}\implies 6x+18=6w \\\\\\ \cfrac{6x+18}{6}=w\implies \cfrac{6x}{6}+\cfrac{18}{6}=w\implies x+3=w[/tex]
what is the value of the 6 in 26,249?
Answer:
what is the value of the 6 in 26,249?
answer:321305
Step-by-step explanation:
-
Point K is on line segment JL. Given JK = 3 and KL = 8, determine the length
JL.
Answer:
JL = 11 units
Step-by-step explanation:
Add the units between JK and KL together to get the answer for JL
Using the distance formula, d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (-3, 1) and point (4, 2) rounded to the nearest tenth?
Answer:
√(4 - ( - 3))^2 + (2 - 1)^2
√(4 + 3)^2 + (2 - 1)^2
√49 + 1
√50
7.07 = 7.1 units
You have a Right Triangle with side lengths of 9ft and 12ft; solve for its perimeter and area.
Step-by-step explanation:
of course, we have to use Pythagoras.
c² = a² + b²
c is the Hypotenuse = the side opposite of the 90° angle.
and here is the problem : are 9 and 12 the legs. or is one of them the Hypotenuse ?
I don't know from the description.
let's see what we get one way or the other :
assumption : the known sides are the "legs".
c² = 9² + 12² = 81 + 144 = 225
c = 15 ft
that is a nice number. so, it looks like that was the intention.
just to be sure, here also the other options :
9² = 12² + side²
81 = 144 + side² that makes side² negative, so, not valid.
12² = 9² + side²
144 = 81 + side²
63 = side²
side = sqrt(63) this is not a nice round number, so, we go with the first option.
therefore, the 3 sides are
9 ft, 12 ft, 15 ft
perimeter = 9+12+15 = 36 ft
area = baseline×height/2
since this is a right-angled triangle, the "legs" with the enclosed 90° angle serve as baseline and height.
area = 9×12/2 = 9×6 = 54 ft²
When will Road to a killcam 100 come out?
Answer:T he first season of Black Ops Cold War has been underway for almost a month now. The game has been having great success since it released back in November. One aspect of the multiplayer that a lot of players were disappointed with, was the lack of a final killcam.
Step-by-step explanation:
Answer:
The final Killcam is a Call of Duty staple. Every player in the game can see who got the final elimination of the game, and how they did it. The randomness is part of the fun; sometimes you’ll see an insane 360 Tomahawk kill, or you can have a good laugh at someone missing all of their shots before finally getting the elimination.
However, Black Ops Cold War has opted for a ‘Best Play’ system. Most of the time, you’ll see someone get a multi-kill from some point in the match. While you do often see impressive plays, the fun randomness element is mostly taken out and this has had a negative impact on Search and Destroy.
A Treyarch developer has now confirmed that they will be adding the final Killcam system to Cold War’s S&D in the future.
The functions r and s are defined as follows.
r(x) = - 2x-1
s(x)=x2-1
=
Find the value of r(s (3)).
Answer:
r o s(3)=?
s(x)= x²-1
x=3
s(3)= 3²-1
s(3)= 9-1
s(3)=8
r(8)
r(x)= -2x-1
x=8
r(8)= -16-1
r(8)= -17
r(s(3))= -17
two functions are shown below.
f(x)=4^x-62
g(x)=x^2-2x+5
evaluate g(-2)+f(3)
Answer:
...
Step-by-step explanation:
What is the solution for x in the equation
-4+5x-7=Okay 0+3x-2x
Answer:
X = 2.75 or 2 3/4 in fraction form
Step-by-step explanation:
We know that the variable X has to make both equations equal.
It is really just crossing out the options.
2.75 can fit in the X variable because if 2.75 was in both equations, the answer would be the same.
So the answer is 2.75
Hope this helps! :)
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