Answer:
La probabilidad es P = 0.4
Step-by-step explanation:
Sabemos que la caja tiene:
3 bolas de color primario (1 roja, 1 amarilla, 1 azul)
2 de color secundario (1 verde, 1 naranja)
Como la bola la sacaremos al azar, todas las bolas tienen exactamente la misma probabilidad de salir.
Queremos obtener la probabilidad de sacar una bolita de color secundario.
Esta probabilidad se calculará como el cociente entre el número de bolitas que cumplen este requisito (es decir, ser de color secundario, sabemos que hay dos de esas) y el número total de bolitas en la caja ( son 5)
La probabilidad es:
P = 2/5 = 0.4
Escribiendo esto en porcentaje (solo se lo multiplica por 100%) tenemos:
40%
Es decir, hay un 40% de posibilidades de sacar una bolita de un color secundario.
A lighthouse casts a 128-ft shadow. A nearby lamppost that measures 5
feet casts an 8-foot shadow. What is the height of the light house, rounded
to the nearest foot? *
Answer:
80 ft
Step-by-step explanation:
Let the height of the light house be x feet.
[tex] \therefore \: \frac{128}{8} = \frac{x}{5} \\ \\ x = \frac{128 \times 5}{8} \\ \\ x = \frac{640}{8} \\ \\ x = 80 \: feet[/tex]
What is the answer??
Answer:
80°
Step-by-step explanation:
Triangle ABC and CYZ are similar so the angles would also be same
A student draws two parabolas on graph paper. Both parabolas cross the x-axis at (-4, 0) and (6.0). The y-intercept of
the first parabola is (0,–12). The y-intercept of the second parabola is (0, -24). What is the positive difference between
the a values for the two functions that describe the parabolas ? Write your answer as a decimal rounded to the nearest
tenth.
Answer:
∆a = 1/2
Step-by-step explanation:
parabolas cross the x-axis at (-4, 0) and (6, 0)
y = a(x + 4)(x - 6)
At the y-intercept x = 0
y = a(0 + 4)(0 - 6)
y = -24a
-----------------------
y-intercept of the first parabola is (0,–12)
-12 = -24a
a = 1/2
-----------------------
y-intercept of the second parabola is (0, -24)
-24 = -24a
a = 1
----------------------
What is the positive difference between the a values
∆a = 1 - 1/2
∆a = 1/2
The midpoint, M , of segment AB has coordinates (2,−1) . If endpoint A of the segment has coordinates (−3,5) , what are the coordinates of endpoint B ?
The coordinates of endpoint B are?
the coordinates of endpoint B are (7,7)
Answer:
Solution given:
M(x,y)=(2,-1)
A[tex](x_{1},y_{1})=(-3,5)[/tex]
Let
B[tex](x_{2},y_{2})=(a,b)[/tex]
now
by using mid point formula
x=[tex]\frac{x_{1}+x_{2}}{2}[/tex]
$ubstituting value
2*2=-3+a
a=4+3
a=7
again
y=[tex]\frac{y_{1}+y_{2}}{2}[/tex]
$ubstituting value
-1*2=5-b
b=5+2
b=7
the coordinates of endpoint B are (7,7)
Can someone help me with this math homework please!
Answer:
{x| x = -7, -6, 2, 11, 3}
Step-by-step explanation:
domain of a relation is the set of values of that act as input
so answer:-
{x| x = -7, -6, 2, 11, 3}
domain is taken as x
Come get your point with me :)
Answer:
IK≅WY
Step-by-step explanation:
Let f(x) = -2x - 7 and g(x) = -4x + 6. Find (gof)(-5).
Answer:
(g ○ f )(- 5) = - 6
Step-by-step explanation:
Evaluate f(- 5), then substitute the value obtained into g(x)
f(- 5) = - 2(- 5) - 7 = 10 - 7 = 3 , then
g(3) = - 4(3) + 6 = - 12 + 6 = - 6
Answer:
[tex](gof)(-5)=-6[/tex]
Step-by-step explanation:
One is given the following information;
[tex]f(x)=-2x-7\\g(x)=-4x+6[/tex]
One is asked to find the following,
[tex](g o f)(-5)[/tex]
The expression ([tex]gof[/tex]) is another way to denote ([tex]g(f(x))[/tex]), in essence, substitute function (f) into function (g) in place of parameter (x). The simplify to find the resulting function;
[tex]g(f(x))\\=-4(-2x-7)+6\\=(-4)(-2x)+(-4)(-7)+6\\=8x+28+6\\=8x+34[/tex]
One is asked to evaluate the function ([tex]gof[/tex]) for (-5). Substitute (-5) into the function and simplify to evaluate;
[tex](gof)(-5)=8x+34\\=8(-5)+34\\=-40+34\\=-6[/tex]
Someone pls help me ill give out brainliest pls don’t answer if you don’t know
Answer:
Rectangle shaped cross section is formed by intersection of plane and prism.
Step-by-step explanation:
Given: A rectangular Prism.
To find: Shape of Cross Section when a plane intersect the prism diagonally
A plane intersect the Rectangular prism .i.e, Cuboid diagonally which means plane passes from top edge of cuboid to edge on bottom on opposite side.
Figure is attached.
In this way we get a Rectangular shaped Cross section which includes edges of cuboid and diagonals of the side faces.
Therefore, Rectangle shaped cross section is formed by intersection of plane and prism.
!!!PLEASE HELP!!!
explain the error
Answer:
Step-by-step explanation:
x is greater than minus 3. You have everything right but the graph. The arrowhead goes the other way. Around -3 is as small as x gets.
0====0====0====0====0
-3 -2 -1 O 1
O------------------------------->
what is the measure of angle TSU?
Answer:
m<TSU = 65
Step-by-step explanation:
As one can see, the measure of angle (RST) is (90) degrees. This is indicated by the box around the angle. As a general rule, when there is a box around an angle, the angle measure if (90) degrees. It is also given that the measure of angle (RSU) is (25) degrees. As per the given diagram, the sum of the measures of angles (RSU) and (UST) is (RST). Therefore, one can form an equation and solve for the measure of angle (UST).
(RSU) + (UST) + (RST)
Substitute,
25 + (UST) = 90
Inverse operations,
25 + (UST) = 90
UST = 65
(<UST) is another way of naming angle (TSU).
Answer:
∠ TSU = 65°
Step-by-step explanation:
∠ RST = 90°
∠ RSU + ∠TSU = ∠ RST , that is
25° + ∠ TSU = 90° ( subtract 25° from both sides )
∠ TSU = 65°
Use the factors of the numbers to explain why
45 x 56 = 5 x 7 x 8 x 9
Answer:
45 x 56=
2520 and
5 x 7=35*8=280*9=2520
2520=2520
Hope This Helps!!!
What is 240 : 60 in its simplest form
Answer:
4:1
Step-by-step explanation:
What 23.5 x 10 to the power of two in scientific notation explain please
Answer:
2.35 x 10^3
Step by Step:
Rewrite the number in scientific notation.2.35 x 10^3
The farmer wants the ratio of horses to cows to equal 5 to 3. He keeps his 45 horses and buys more cows. Workout the number of cows he must buy
Amelia, Luis, Shauna, and Clarence used different approaches to solve the inequality
7.2b + 6.5 > 4.8b – 8.1.
Amelia started by subtracting 7.2b from both sides to get 6.5 > –2.4b – 8.1.
Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.
Shauna started by subtracting 6.5 from both sides to get 7.2b > 4.8b – 14.6.
Clarence started by adding 8.1 to both sides to get 7.2b + 14.6 > 4.8b.
Which student’s first step was incorrect, and why?
Amelia’s, because the variable term must be isolated on the left side
Luis’s, because he flipped the inequality sign when he subtracted
Shauna’s, because she did not apply the subtraction property of equality properly
Clarence’s, because the terms he added together were not like terms
Answer:
Luis’s, because he flipped the inequality sign when he subtracted
Step-by-step explanation:
Given:
7.2b + 6.5 > 4.8b – 8.1.
Amelia started by subtracting 7.2b from both sides to get 6.5 > –2.4b – 8.1.
Amelia:
7.2b + 6.5 - 7.2b > 4.8b – 8.1 - 7.2b
6.5 > -2.4b - 8.1
Correct
Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.
7.2b + 6.5 - 4.8b > 4.8b – 8.1 - 4.8b
2.4b + 6.5 > -8.1
Incorrect
Shauna started by subtracting 6.5 from both sides to get 7.2b > 4.8b – 14.6
7.2b + 6.5 - 6.5 > 4.8b – 8.1 - 6.5
7.2b > 4.8b - 14.6
Correct
Clarence started by adding 8.1 to both sides to get 7.2b + 14.6 > 4.8b.
7.2b + 6.5 + 8.1 > 4.8b – 8.1 + 8.1
7.2b + 14.6 > 4.8b
Correct
Which of the following equations represents the graph shown?
Answer:
ok from looking at this equation we can we that every it goes 1 up and on over so
-x+2
Hope This Helps!!!
Alexandra finished 3/5th of her work. What percentage of work did she complete?
60 percent
Step-by-step explanation:
Covert 3/5th into percentage so the answer will be 60.
#CarryOnLearningO(Q0) A(2,0), B(3, 2) and C(1, 2) are the vertices of quadrilateral OABC. Translate quadrilateral by translation vector [0,2]
Answer:
A'(2,2) B'(3,4) C'(1,4) O'(Q,2)
the question is in the picture below
Answer:
$843.67
Step-by-step explanation:
We can use a proportion to solve this problem:
12 : 100 = x : 896
x =(896 * 12)/100 = $107,52
896 - 107.52 = $788,48 (price of the computer after the discount)
7 : 100 = x : 788,48
x = (788,48 * 7)/100 = $55,1936
788.48 + 55,1936 = 843,6736 = $843.67 (final price)
What is the radius of the circle: x^2+y^2=4
1. -2
2. -4
3. 4
4. 2
Answer:
2
Step-by-step explanation:
→ The radius of a circle is square root the 4
2
Three less than 3 times a number, n, is
19 more than twice the number. What
is the number?
А
17
B
19
21
D 22
The equation is:
3n - 3 = 2n + 19
=> 3n - 2n = 19 + 3
=> n = 22
So, the answer is 22.
1. What is the solution of the system of equations?
y = -3x + 8
y = -5x - 2
Answer:
This system of equations has no solution since the first one says:
x
2
−
y
=
8
while the second one gives us:
x
2
−
y
=
−
(
y
−
x
2
)
=
−
0
=
0
and
8
≠
0
Step-by-step explanation:
I don’t get this pls helppppppp!!!!!!!!!!!!
Answer:
1) f(x)<x+4
f(x)>-x-3
f(x)<5
[tex]ANSWER: (-3,4)[/tex]
2)2.5>0+2
2.5<0+3
2.5<0+5
[tex]ANSWER: (0,2.5)[/tex]
----------------------------
HOPE IT HELPS
HAVE A GREAT DAY!!
The answers to this question make no sense please help
Answer:
Step-by-step explanation:
each die has numbers 1-6 thus there are 36 (6*6) possible outcomes
a) 18 of the 36 are even = 1/2 = .5 = 50%
b) (1,2) and (2,1) are the only 3's 2/36 = 1/18 = .055
c) there are 10 combos that are LESS THAN 6 (2,3,4,5)
10/36 = .277 = 27.7%
2 3 4 5 6 7
3 4 5 6 7 8
4 5 6 7 8 9
5 6 7 8 9 10
6 7 8 9 10 11
7 8 9 10 11 12
which equation is represented by the table
Answer:
B. b = 3a + 2
Step-by-step explanation:
We can write the equation in slope-intercept form as b = ma + c, where,
m = slope/rate of change
c = y-intercept/initial value
✔️Find m using any two given pair of values, say (2, 8) and (4, 14):
Rate of change (m) = change in b/change in a
m = (14 - 8)/(4 - 2)
m = 6/2
m = 3
✔️Find c by substituting (a, b) = (2, 8) and m = 3 into b = ma + c. Thus:
8 = 3(2) + c
8 = 6 + c
8 - 6 = c
2 = c
c = 2
✔️Write the equation by substituting m = 3 and c = 2 into b = ma + c. Thus:
b = 3a + 2
At a point 25 ft. from the base of a totem pole, the angle of elevation of the top of the pole is 50.1 °. How tall is the totem pole to the nearest foot?
Answer:
height ≈ 30 ft
Step-by-step explanation:
The situation is modelled by a right triangle.
let h be the height of the totem pole, then
tan50.1° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{h}{25}[/tex] ( multiply both sides by 25 )
25 × tan50.1° = h , then
h ≈ 30 ft ( to the nearest foot )
Determine the area of the triangle.
67.7 square units
777.2 square units
135.5 square units
5.9 square units
Answer:
cuadradas 777,2 unidades
Step-by-step explanation:
Answer:
67.7
Step-by-step explanation:
i just took the quiz
4a {3а2а +4)- 34 2а- 5) a[3а" (а)
How do I simplify this
Answer:
Simplify the expression.
36a to the power of 7 then - 156a to the power of 4 then -15a to the power of3
Help please
What value of x will ensure that the shelves are parallel?
for the to be parallel both the angle must be equal
so 7x - 20 = 3x + 20 - > 4x = 40⁰
x = 10⁰
I have this math problem I can't solve.
"Evelyn and Meredith decided to kayak 1 mile up and then back in the Humboldt channel.
The rate of the water flowing in the channel was 2 miles per hour. The total time it took them to kayak up and back was 3 hours and 40 minutes. Assuming they were padding their double kayak at a fairly consistent rate, find the rate Evelyn and Meredith were paddling.
Step 2 - Draw a picture to model the problem.
Step 3 - Label variables and create a table.
Step 4 - Write an equation to model the problem.
Step 5 - Solve the equation. Provide supporting work and detail.
Step 6 - Explain the results."
If you can help please do.
Evelyn and Meredith were paddling at a rate of [tex]\frac{3+\sqrt{493}}{11}mph[/tex] which is equivalent to 2.29mph approximately.
Step 2: See attached picture
Step 3: In this case we only have different variables, there is the rate at which Evelyn and Meredith were paddling, the rate at which they moved when rowing upstream, the rate at which they moved when rowing downstream, the time it took them to paddle upstream and the time it took them to paddle downstream.
v = rate at which Evelyn and Meredith were paddling.
[tex]v_{up}[/tex]= velocity at which they were moving when paddling upstream.
[tex]v_{down}[/tex]= velocity at which they were moving when paddling downstreamstream.
[tex]t_{up}[/tex]= time it took them paddling upstream.
[tex]t_{down}[/tex]= time it took them paddling downstream
Se attached picture for the table.
Step 4: Building this equation will require us to combine different equations into a single one. Let's start with the equation for the final rate at which they paddled when rowing upstream.
[tex]v-2=v_{up}[/tex]
When rowing upstream, the current will drag the kayak, so we subtract it from the rate at which they were rowing.
Let's find the final rat at which they moved when rowing downstream.
[tex]v+2=v{down}[/tex]
next, the problem tells us it took them 3 hours and 40 minutes to row up and down the channel so we can convert it into just hours like this:
[tex]40min*\frac{1hr}{60min}=\frac{2}{3}hr[/tex]
[tex]3hr+\frac{2}{3}hr=\frac{11}{3}hr[/tex]
so now we can build our equation for time.
[tex]t_{up}+t_{down}=\frac{11}{3}[/tex]
We also know that the rate is built by dividing the distance over the time it took them to travel the distance, so:
[tex]v_{up}=\frac{1}{t_{up}}[/tex]
[tex]v_{down}=\frac{1}{t_{down}}[/tex]
If we solved each of those equations for their respective times, we would end up with the following:
[tex]t_{up}=\frac{1}{v_{up}}[/tex]
[tex]t_{down}=\frac{1}{v_{down}}[/tex]
so we can now combine all the equations together so we get:
[tex]t_{up}+t_{down}=\frac{11}{3}[/tex]
[tex]\frac{1}{v_{up}}+\frac{1}{v_{down}}=\frac{11}{3}[/tex]
[tex]\frac{1}{v-2}+\frac{1}{v+2}=\frac{11}{3}[/tex]
So this equation models the problem.
Step 5: We can solve this equation by multiplying everything by the LCD
In this case the LCD is:
3(v-2)(v+2)
so, when doing the respective multiplications we end up with:
[tex]\frac{3(v-2)(v+2)}{v-2}+\frac{3(v-2)(v+2)}{v+2}=\frac{11(3)(v-2)(v+2)}{3}[/tex]
We can now simplify to get:
3(v+2)+3(v-2)=11(v+2)(v-2)
We can now do the respective multiplications to get:
[tex]3v+6+3v-6=11(v^{2}-4)[/tex]
and we can further simplify:
[tex]6v=11v^{2}-44[/tex]
Step 5: So we can now solve it by using the quadratic formula, first, we need to rewrite the equation in standard form:
[tex]11v^{2}-6v-44=0[/tex]
So we can now use the quadratic formula:
[tex]v=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a}[/tex]
we substitute:
[tex]v=\frac{-(-6) \pm \sqrt{(-6)^{2}-4(11)(-44)}}{2(11)}[/tex]
and simplify:
[tex]v=\frac{6 \pm \sqrt{36+1936}}{22}[/tex]
[tex]v=\frac{6 \pm \sqrt{1972}}{22}[/tex]
[tex]v=\frac{6 \pm \sqrt{4(493)}}{22}[/tex]
[tex]v=\frac{6 \pm 2\sqrt{493}}{22}[/tex]
[tex]v=\frac{3 \pm \sqrt{493}}{11}[/tex]
this gives us two possible results:
[tex]v=\frac{3 + \sqrt{493}}{11}[/tex] and [tex]v=\frac{3 - \sqrt{493}}{11}[/tex]
Step 6: We only pick the first result since it's the positive result. We don't take the second one because a negative result represents the kayak moving in the opposite direction which is not how the situation was modeled.
For further information, take a look at the following link:
https://brainly.com/question/12919292?referrer=searchResults