a rectangle has an area of 24m². its length is 5m longer than the width.
write an expression for the rectangle's length
Answer:
2x+2(x+5)) = 24
Step-by-step explanation:
2x+ 2(x+5) = 24
x is represented by the shorter side. Multiply by 2 because of the 2 sides. For the longer side, since it is 5m longer than the shorter side, you have to write (x+5). Multiply by 2 because of the 2 sides. Finally, add them both together since it is the area and set it equal to 24.
There is 25 coins in a bag, 5 of them are quarters. What is the probability of getting a quarter? Express as all four types of probability.
Answer:
Step-by-step explanation:
The ptobability of getting a quarter is 5/25 to the simpliest form is 1/5
The four probability is basic probability, compound event, independent and dependent event and the probability line.
I hope it'll help you much
Thank you for asking
Which equation represents the given statement "Eight times a number minus 2 equals 33
more than the number." *
Answer:
8N-2=33+N
Step-by-step explanation:
Unit 6. 5) Please help. Which equation shows the correct use of the addition rule to determine the probability that a randomly selected show had animals in it or aired more than 10 times?
Answer:
D.) 0.7+0.4−0.2=0.9
Tennis great Roger Federer made 63% of his first serves in a recent season. When Federer made his first serve, he won 78% of the points. When Federer missed his first serve and had to serve again, he won only 57% of the points. Suppose you randomly choose a point on which Federer served. You get distracted before seeing his first serve but look up in time to see Federer win the point. What's the probability that he missed his first serve?
Sounds like a Bayes Theorem problem.
Events:
F: Roger makes his first serve. We'll write ~F for "not F".
P(F) = .63
P(~F) = 1 - .63 = .37
W: Roger wins the point. We don't know P(W) but we are given
P(W | F) = .78
P(W | ~F) = .57
We're asked for
P(~F | W)
The basic conditional probability theorem is
P(~F and W) = P(~F | W) P(W) = P(W | ~F) P(~F)
P(~F | W) = ( P(W | ~F) P(~F) ) / P(W)
We write
P(W) = P(W | F) P(F) + P(W | ~F) P(~F)
Substituting gives Bayes' Theorem:
P(~F | W) = ( P(W | ~F) P(~F) ) / ( P(W | F) P(F) + P(W | ~F) P(~F) )
We know all the parts so we substitute,
P(~F|W) = ( .57(.37) ) / (.78(.63) + .57(.37) ) = 0.30029901751388294
Let's call that 30%
Answer: 30%
Answer:
0.3
Step-by-step explanation:
We need to reverse this because we only know the outcome. P(A|B) = P(B|A) * P(A) / P(B), so P(B|A) is B given that A happens, P(A) in this case is the probability that he missed the first serve. P(B) is the probability of winning the point. P(B) = P(B|A') * P(A') + P(B|A) * P(A), which means P(B) is the probability of the point scored given that the serve was made multiplied by the probability of the serve being made plus the probability of B given that serve is missed multiplied by the probability that the serve is missed. This is 57% * 37% + 78% * 63%=0.21+0.49=0.7. So P(B)=0.7. P(B|A)*P(A)/P(B) would be 57% * 37% / 70% = 0.3. The probability that Federer missed his first serve given that he scored the point is 0.3.
helpppppp pros only helppppppp me plzzzzzzzzzzz ill reporte you if you do bad qweshtones
Answer:
( w-7) (w+5)
Step-by-step explanation:
w^2 -2w - 35
What 2 numbers multiply to -35 and add to -2
-7*5 = -35
-7+5 = -2
( w-7) (w+5)
Answer:
(w + 5) • (w - 7) = A
Step-by-step explanation:
factoring w2-2w-35
The first term is, w2 its coefficient is 1 .
The middle term is, -2w its coefficient is -2 .
The last term, "the constant", is -35
Step-1 : Multiply the coefficient of the first term by the constant 1 • -35 = -35
Step-2 : Find two factors of -35 whose sum equals the coefficient of the middle term, which is -2 .
-35 + 1 = -34
-7 + 5 = -2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and 5
w2 - 7w + 5w - 35
Step-4 : Add up the first 2 terms, pulling out like factors :
w • (w-7)
Add up the last 2 terms, pulling out common factors :
5 • (w-7)
Step-5 : Add up the four terms of step 4 :
(w+5) • (w-7)
(w + 5) • (w - 7) = 0
What is the velocity vector for a moving particle with a position vector [tex]r(t)=(t,e^t)[/tex]?
[tex](1,e^t)[/tex]
(t, ln(t))
(t^2)/2, e^t
(2, e^t)
Thanks!!
Answer:
(1, eᵗ)
Step-by-step explanation:
r(t) = (t, eᵗ)
v(t) = dr/dt
v(t) = (1, eᵗ)
Maria está en el piso 6 y quiere ir al sótano 2. Cuantos pisos bajará?
Answer: 8
Step-by-step explanation:
Ella tiene que bajar los 6 pisos, mas 2.
6+2=8
I am giving 25 points
Hailey organizes a New Year’s party. There are 16
pastries at the party, 7 of the pastries
are chocolate. What is the relative
frequency probability that a randomly
selected pastry will be a chocolate
pastry?
Answer:
[tex]\frac{7}{16}[/tex]
Since there are 16 pastries in total, and 7 of them are chocolate, this will become your probability.
So, since the total is 16, this will be the denominator, and the 7 will be the numerator.
So, it will be [tex]\frac{7}{16}[/tex]
Suppose x,y and z are positive real numbers. Prove that x+z/y+z>xy if and only if x Question has also been attached...PLS HELP!!!
Let's manipulate the expression a little bit and see what we come up with: we have
[tex]\dfrac{x+z}{y+z}>\dfrac{x}{y} \iff \dfrac{x+z}{y+z}-\dfrac{x}{y}>0 \iff \dfrac{y(x+z)-x(y+z)}{y(y+z)}>0[/tex]
We can simplify the fraction as
[tex]\dfrac{xy+yz-xy-xz}{y(y+z)}=\dfrac{yz-xz}{y(y+z)}=\dfrac{z(y-x)}{y(y+z)}[/tex]
Since both [tex]y[/tex] and [tex]z[/tex] are positive, their sum will be positive as well. In other words, we can rewrite the fraction as
[tex]\underbrace{z}_{>0}\cdot\underbrace{\dfrac{1}{y}}_{>0}\cdot\underbrace{\dfrac{1}{y+z}}_{>0}\cdot (y-x)[/tex]
So, the sign of this fraction depends on the sign of [tex]y-x[/tex]. If its positive, then the whole fraction is positive (product of 4 positive factors). If it's negative, then the whole fraction is negative (product of 3 positive factors and a negative one).
In other words, we arrived to the desired conclusion:
[tex]\dfrac{x+z}{y+z}>\dfrac{x}{y}\iff y-x>0 \iff y>x[/tex]
What is the equation of a line that is parallel to (1/2)y + x = 4 that passes through the point (0,14)?
Answer:
i cant answer that i'm only in 8th
Avril wants to puts trim around the border of one of the walls in her room. The dimensions of the wall is 10 x 15 ft. Will she need to find the area or the perimeter of the wall to figure out how much trim she needs? How much trim does she need?
Answer:Perimeter, 50ft
Step-by-step explanation:since it is around the answer is 50 ft
Can someone please help me? I keep losing points...
CORRECT ANSWERS ONLY PLEASE!!!!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Round your answer to the nearest cent.
Answer:
She will have $78,080 dólars in her account and $17,080 is the interest she will earn in 2 years
Step-by-step explanation:
i = prt
i = ($61,000)(.14)(2)
i = $17,080
$78,080
Answer:
$78080
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 61000 × 14/100 × 2
I = $17080
She have = 61000 + 17080 = $78080
11(4t + 1) what is the answer
Answer:
44t + 11
Step-by-step explanation:
11(4t + 1)
Distribute 11 amongst the values inside the parenthesis
11(4t) + 11(1)
Multiply
44t + 11
Hope this helps :)
Answer:
[tex]44t + 11[/tex]
Step-by-step explanation:
[tex]11(4t + 1) \\ = 44t + 11[/tex]
Henry and five friends are going to the movies. Tickets cost $8 each. Henry used this model to help him find the total cost of the tickets. Which shows one way to break apart the array to find the product?
Answer:
(7 x 5) + (7 X 3) = 7 X 8 or (7 x 4) + (7 X 4) = 7 X 8
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
The total number of people: 7 Ticker costs: $8 each=> the total cost = the total number of people * the ticket cost each
= 7 X 8
Hence, he can use this way to break apart the array to find the product:
(7 x 5) + (7 X 3) = 7 X 8 or (7 x 4) + (7 X 4) = 7 X 8
Hope it will find you well.
You have $1000 to invest in an account and need to have $2000 in one year. What interest rate would you need to have in order to have this if the amount is compounded weekly? Round your answer to the nearest percent.
Answer:
69.8%
Step-by-step explanation:
The weekly interest rate is computed using 52 weeks a year as per standard investment practice.
FV=PV*(1+r/52)^n*52
FV is the future value of $2000
PV is the present worth of $1,000
r is the unknown
n is the number of years which is 1
2000=1000*(1+r/52)^1*52
divide both sides by 1000
2000/1000=(1+r/52)^52
divide the index of the both sides by 52
(2000/1000)^(1/52)=1+r/52
1.013418991 =1+r/52
r/52=1.013418991 -1
r/52=0.013418991
r=0.013418991 *52=69.8%
Answer:
4%
Step-by-step explanation:
not really sure if thats right but i hopes it helps
b) Sanjit reads 3 books in 1 week.
Express as a unit rate and explain
We can write this as:
3 books / 1 week
This tells us that Sanjit reads 3 books per week.
Let's say he read for 3 weeks, we would multiply to find the number of books he read.
3 * 3 = 9 books
So, Sanjit can read 3 books in 1 week.
Best of Luck!
Answer:
3 books/1 week
Step-by-step explanation:
3 books
------------
1 week
I need this answer please tell me the answer
Answer:
less than
[tex]1 \frac{1}{2} [/tex]
I believe
The price of one share of a company declined $3.50 per day for 4 days in a row. What is the overall change in the price of one share? You may find using a number line to be helpful.
The overall change in the price of one share is
dollars.
Solve
8- (2x - 9) = 17 - 2x
Nchey
Answer: Infinite solutions
Step-by-step explanation:
[tex]8-(2x-9)=17-2x[/tex]
Begin by distributing the negative into the parenthesis.
[tex]8-2x+9=17-2x[/tex]
Combine like terms;
[tex]17-2x=17-2x[/tex]
Subtract 17
[tex]-2x=17-17-2x[/tex]
[tex]-2x=-2x[/tex]
Add 2x
[tex]-2x+2x=0\\0=0[/tex]
Equation: 8 - (2x - 9) = 17 - 2x
First, we distribute the - sign.
8 -2x + 9 = 17 - 2x
Then, we combine like terms if there any on both sides.
17 - 2x = 17 - 2x
Now, we can see the equations are equal to each other.
However, we can go a step further and solve for x.
17 - 2x = 17 - 2x
Subtract 17 from both sides.
-2x = -2x
Divide both sides by -2.
x = x
Therefore, x has no value or is 0.
How many times larger is the volume of a cone if the radius is multiplied by 6?
Answer:
36 times larger.
Step-by-step explanation:
V= [tex]\pi *r^{2}*\frac{h}{3}[/tex] is the original volume of a cone formula.
If the radius is multiplied by 6 the new formula is:
V= [tex]\pi *(6x)^{2} * \frac{4}{3}[/tex]
Which is simplified to:
V= [tex]\pi *36r^2*\frac{h}{3}[/tex]
The only difference between the simplified formula and the original is the *36 so the new volume is 36 times larger when the radius is multiplied by 6.
Identify the measure of arc HD◠.
The figure shows a circle and three secants. Points P, K, L, H, D lie on the circle. Secants R L and K H intersect in the interior of the circle. The measure of formed angle is 92 degrees. Secants D R and L R intersect in the exterior of the circle at point R. The measure of angle D R L is 38 degrees. The measure of the intercepted arc that is closest to the angle is 18 degrees. Secant R L intersects the circle at some point. The measure of arc between this point and point K is 102 degrees. Point P lies on secant R D.
The measure of arc HD, which represents the arc between points H and D, is also 102 degrees.
We have,
In the given figure, we have a circle with points P, K, L, H, and D on it. Secant RL and secant KH intersect inside the circle, forming an angle with a measure of 92 degrees.
Secant DR and secant LR intersect outside the circle at point R, forming an angle DRL with a measure of 38 degrees.
The intercepted arc closest to angle DRL has a measure of 18 degrees.
Since secant RL intersects the circle at some point, we can consider the arc between that point and point K.
The measure of this arc is given as 102 degrees.
Therefore,
The measure of arc HD, which represents the arc between points H and D, is also 102 degrees.
Learn more about arc lengths here:
https://brainly.com/question/16403495
#SPJ2
a. 9
b. 10
c. 16
d. 17
A box is laid on its side and the white label wrapped around the box covers 30% of the lateral surface area of the box. Find the length x of the box.
Answer:
6
Step-by-step explanation:
Emma great grandparents lived in a log cabin with their 3 children. The log cabin had a floor area of 450 square feet. The ceiling is only 7 feet hight. What is the volumr of the log cabin
Answer:
The volume is 3150ft³
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, cuboid
Given data
Area =450 ft²
Height h =7ft
We know that the volume of a cuboid
Volume = length x width x height
Volume =lbh
Volume = area x height
Volume = 450*7= 3150ft³
What happens to the parabola when a<1 compared to the parent function?
Answer: The parabola is wider than the parent function
Step-by-step explanation:
If "a" is a fraction less than one, then the parabola becomes wider.
See graph (attached)
Peg rode her bike for 1 \text{ kilometer}1 kilometer1, start text, space, k, i, l, o, m, e, t, e, r, end text before stopping. Lauren rode for 602 \text{ meters}602 meters602, start text, space, m, e, t, e, r, s, end text before stopping.
How many meters farther did Peg ride than Lauren?
Answer:
2x45+67
fffftheStep-by-step explanation:
Answer:398 not 2x45+67
The science club sponsors is ordering caps and shirts for the boys and girls in the science club. There are 45 science club members. If the caps in some packages of 3 and the shirts come in packages of 5 what is the least number of packages of caps and church that will need to be ordered
Answer:
The least number of package of cap required is 15, while that of shirt is 9
Step-by-step explanation:
Total number of members = 45
The cap comes in package of 3
The shirt comes in package of 5
The least number of the package of caps they need to order is =?
Since they're 45 in numbers, we can divide 45 by 3 to know the total number of package required to go round.
Number of package of caps = 45 / 3
Number of package of caps = 15
We can also go ahead and find the number of package for shirt required by using the same method, only this time we'll divide it by 5 instead of 3
Number of package for shirt = 45 / 5
Number of package for shirt = 9
Therefore, the least number of package of caps required is 15 while that of shirt is 9
6x^2-x-26 x 2 − x − 2
(2x-3)
(2x-1)
(2x+1)
(3x+2)
Answer:
3x+2
Step-by-step explanation:
i had a test with the same question, i promise its right :)
the sum of three consecutive odd numbers is seventy-five. what is the smallest of the three numbers
Step-by-step explanation:
The three numbers are 23 25 and 27
23 + 25 + 27 = 75
The smallest number is 23
