The probability of pulling out a red marble 3 times in a row will be 1/64.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
Marbles: You have a bag with 3 red marbles, 4 blue marbles, and 5 green marbles.
Then the probability of pulling out a red marble 3 times in a row will be
The total number of events will be
Total events = 3 + 4 + 5 = 12
The favorable event will be
Favorable event = 3
Then the probability will be
P = (3/12)(3/12)(3/12)
P = (1/4)(1/4)(1/4)
P = 1/64
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Solve 56-10x≥ 20 + 8x.
O A. x≥ 2
OB. x2-2
OC. x≤2
OD. x≤-2
Answer:
[tex]\huge\boxed{\sf x\leq 2}[/tex]
Step-by-step explanation:
Given inequality:[tex]56-10x\geq 20+8x\\\\Subtract \ 20 \ from \ both \ sides\\\\56-20-10x\geq 8x\\\\36-10x\geq 8x\\\\Add \ 10x \ to \ both \ sides\\\\36\geq 8x+10x\\\\36\geq 18x\\\\Divide \ 18 \ to \ both \ sides\\\\2 \geq x\\\\OR\\\\x\leq 2\\\\\rule[225]{225}{2}[/tex]
[tex]\bf{56-10x\geq 20+8x }[/tex]
Subtract 8x on both sides.
[tex]\bf{56-10x-8x\geq 20 }[/tex]
Combine −10x and −8x to get −18x.
[tex]\bf{56-18x\geq 20 }[/tex]
Subtract 56 from both sides.
[tex]\bf{-18x\geq 20-56 }[/tex]
Subtract 56 from 20 to get −36.
[tex]\bf{-18x\geq -36 }[/tex]
Divide both sides by −18. Since −18 is <0, the inequality direction is changed.
[tex]\bf{x\leq \dfrac{-36}{-18} }[/tex]
Divide −36 by −18 to get 2.
[tex]\bf{x\leq 2 \ \ \to \ \ \ Answer}[/tex]
We conclude that the correct option is "C".
{ Pisces04 }Solve for x -6x > 17 Give your answer as an improper fraction in its simplest form.
Answer:
Answer: x ≤ q - 17/6.
Step-by-step explanation:
Divide both sides of the inequality by the coefficient of variable
i need help with this ASAP i've been stuck on this question for a while
Answer:
B. 8
Step-by-step explanation:
Triangle's weight is equal to the sphere's weight.
Total of 16 blocks. Since the triangle's weight is equal to the sphere's, the weight will be half of the blocks.
Divide 2 from 16.
16/2=8
The triangle's weight is equal to 8 blocks.
Hope this helps!
If not, I am sorry.
Quick algebra 1 question for 50 points!
Only answer if you know the answer, Tysm!
[tex]revenue = selling \: price \times quantity \: sold[/tex]
[tex]m(t) = 3t[/tex]
B)Since we only have 75 tickets to sell, the domain is:t ε [ 0 , 75 ]Range: (extra)m ε [ 0 , 225 ]#1
M(t)=3tBecause
revenue=sold price×no of items
#2
The restriction is of 75tickets and the tickets can't be negative
so
0≤t≤75Domain
[0,75]During the two hours of the morning rush from 8 a.m. to 10 a.m., 100 customers per hour arrive at the coffee shop. The coffee shop has a capacity of 0.8 minutes per customers. What is the number of customers waiting at 10 a.m.
So, 40 Customers are waiting at 10 A.M.
According to statement
Number of customers arrives at coffee shop per hour = 100
Capacity of shop for per minute per customer = 0.8 minute
Capacity of shop for customers per hour = 80
Find number of customers are by
Queue growth rate = Demand - Capacity
Put the values in the formula and find the growth rate
So,
Queue growth rate= 100 - 80 = 20.
Length of queue at 10 a.m. = 2 × 20 = 40.
So, 40 Customers are waiting at 10 A.M.
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Please answer with everything needed i appreciate everyones help:)
Answer:
at 5 mins Holly traveled 2 miles. At 10 mins Holly traveled 4 miles. from there on she stayed there for 10 mins then went on her way. At 30 mins she traveled 5 1/2 miles. when she hit 35 mins she hit her destination then went back home.
Step-by-step explanation:
pretty simple
is 6x^5 + 3x^4 + 1^3
a fifth-degree polynomial with three terms in standard form
The statement is true, it is a polynomial of degree 5 with 3 terms.
Is the statement true?
A polynomial is of the form:
[tex]p(x) = a_n*x^n + ... + a_0[/tex]
Where the degree is the maximum exponent of the polynomial, in this case, is n.
The given polynomial is:
[tex]p(x) = 6x^5 + 3x^4 + x^3[/tex]
So, the maximum exponent is 5, which means that the degree of the polynomial is 5.
And it has 3 terms, so the statement is true.
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WILL GIVE BRAINLIEST
I NEED TO FIND X AND Y
Answer:
x = 3
y = 2
Step-by-step explanation:
Equations
7x - 7y = 7
-4x - 7y = - 26 Multiply both sides of the equation by - 1
-1(-4x - 7y = - 26)
4x + 7y = 26
Solution
Add the two equations together
7x - 7y = 7
4x + 7y = 26
11x = 33 Divide by 11
11x/11 = 33/11
x = 3
4x + 7y= 26 Use this equation to solve for y. Use x = 3
4*3 + 7y = 26 Combine the left
12 + 7y = 26 Subtract 12 from both sides
12 - 12 + 7y = 26 - 12 Combine
7y = 14 Divide by 7
7y/7 = 14/7
y = 2
Alicia walked 3 m east and then 6 m north. How far is she from the starting point?
Answer:
6.708 miles
Step-by-step explanation:
She walked 3 miles to the right, and 6 miles up. The shortest route she could take back to her starting point is a diagonal, which we can solve for using the Pythagorean theorem, a^2 + b^2 = c^2. We're solving for c.
9 + 36 = c^2
c^2 = 45
c = 6.708
Brainliest, please :)
how many Jamaican dollars are equivalent to US $135 , if US =$1 - JA $87.50
11812.5 Jamaican dollars is equivalent to $135
How to determine the amount?The conversion rate is given as:
$1 = JA 87.50
Multiply both sides of the conversion rate by 135
135 * $1 = JA 87.50 * 135
Evaluate the product
$135 = JA 11812.5
Hence, 11812.5 Jamaican dollars is equivalent to $135
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A shop sold white, pink and red T-shirts. 24% of the T-shirts were white. There were 198 more pink than white T-shirts. The remaining 114 T-shirts were red. How many pink T-shirts were there
Number of pink T-shirts was 342
How to solve it?Given: 24% of the T-shirts were white
Let, total number of T-shirts be x
According to question,
Total number of white T-shirts = 24x/100
Total number of pink T-shirt = 24x/100+ 198
Total number of red T-shirts = 114
According to the question:
24x/100+24x/100+ 198 + 114 = x
312 = x - 48x/100
312 = 52x/100
x = (312*100)/52
x = 600
so Number of pink T-shirts :
=(24*600)/100+198
= 144 + 198
= 342
Hence total Number of pink T-shirts was 342.
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Which term describes the line segment that connects a vertex of a triangle to a point on the line containing the oppostie side, so that the line segment is perpendicular to that line?
Answer:
90 degree and the angle sides
What reason represents the same ratio as for every 12 apples, 9 of them are green?
4: 3
6: 8
9:16
3: 4
Answer:
4:3
Step-by-step explanation:
If you divide both 12 and 9 by 3 (the smallest number they can both be divided by), you get 4 and 3. the ratio is for every 4 apples, 3 would be green. So 4:3
The triangles are congruent by SSS or HL.
Triangles P Q R and S T U are shown. Triangle P Q R is reflected across Q R and then is shifted up and to the right to form triangle S T U.
Which transformation(s) can map TrianglePQR onto TriangleSTU?
translation only
rotation only
rotation, then reflection
reflection, then translation
From the information given about the triangle, the transformation that can map Triangle PQR onto Triangle STU is D. reflection, then translation.
What is a congruent triangle?Congruent triangles are known as triangles that have the same size, shape and angles.
It is also important to note that the transformation that can map Triangle PQR onto Triangle STU is reflection, then translation. This is so because it is a vital to form of congruent triangles.
There, the transformation that can map triangle PQR onto triangle STU is reflection, then translation. Option D
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Answer:
reflection, then translation
Step-by-step explanation:
The answer above is correct.
a) If x and 125° are adjacent angles in linear pair, find xº [with proper process]
Answer:
x=55°
Step-by-step explanation:
x=180°-125°
x=55°
There are 8 flavors of cupcakes on the dessert menu. You are asked to choose 3 flavors of cupcakes out of the 10 on the menu. How many differnet combinations of 3 cupcakes are there if order does not matter
There are 80 different combinations of 3 cupcakes are there if order does not matter
How to determine the combination?The given parameters are:
Flavors = 10
Flavors to choose = 3
The number of combination is calculated using:
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
This gives
[tex]^{10}C_3 = \frac{10!}{7!3!}[/tex]
Expand
[tex]^{10}C_3 = \frac{10 * 9 * 8 * 7!}{7!3 * 2 * 1}[/tex]
Evaluate quotient
[tex]^{10}C_3 = 80[/tex]
Hence, there are 80 different combinations of 3 cupcakes are there if order does not matter
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Construct a confidence interval for p1-p2 at the given level of confidence.
x1=30, n1=235, x2=39, n2=294, 90 % confidence
Using the z-distribution, the 90% confidence interval for the difference of proportions is given by: (-0.0534, 0.0434).
What is the mean and the standard error for the distribution of differences?For each sample, the mean and the standard error are given as follows:
[tex]p_1 = \frac{30}{235} = 0.1277, s_1 = \sqrt{\frac{0.1277(0.8723)}{235}} = 0.0218[/tex].[tex]p_2 = \frac{39}{294} = 0.1327, s_1 = \sqrt{\frac{0.1327(0.8673)}{294}} = 0.0198[/tex].For the distribution of differences, they are given by:
[tex]\overline{p} = p_1 - p_2 = 0.1277 - 0.1327 = -0.005[/tex].[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0218^2 + 0.0198^2} = 0.0294[/tex]What is the confidence interval?The interval is given by:
[tex]\overline{p} \pm zs[/tex]
In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.
Hence the bounds of the interval are:
[tex]\overline{p} - zs = -0.005 - 1.645(0.0294) = -0.0534[/tex]
[tex]\overline{p} + zs = -0.005 + 1.645(0.0294) = 0.0434[/tex]
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HELP HELP HELP
Just a quick question for 100 points! :)
Answer:
see attached graphs
Step-by-step explanation:
Transformations
For a > 0
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]
[tex]y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}[/tex]
[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]
[tex]y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}[/tex]
Parent function: [tex]f(x) = x[/tex]
Each transformation is a transformation of the parent function only:
Translation of 4 units down
[tex]\implies f(x)-4=x-4[/tex]
[tex]\implies y=x-4[/tex]
A stretch by a factor of 3
[tex]\implies 3f(x)=3x[/tex]
[tex]\implies y=3x[/tex]
A reflection and a translation 1 unit up
[tex]\implies f(-x)+1=-x+1[/tex]
[tex]\implies y=-x+1[/tex]
Population dynamics must consider the number of individuals that are lost per unit of time, also called the
Population dynamics must consider the number of individuals that are lost per unit of time, also called the mortality rate.
Mortality, or mortality, is a measure of the number of deaths (generally or due to a particular cause) in a particular population, scaled to the size of that population per unit of time.
The relative incidence of deaths in a particular population over a particular time period. Often expressed as the rate of human deaths or wildlife deaths from environmental hazards during a public health crisis. The highest mortality rate for patients over the age of 80 was during the last flu season.
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This linear function has the domain (-2, -1, 0, 1, 2). find the range or output of. h(x)=2x+3
The linear function h(x) = 2x + 3, with the domain {-2, -1, 0, 1, 2}, has the range {-1, 1, 3, 5, 7}.
To find the range, we substitute each value of the domain for x, in the linear function h(x) = 2x + 3, as follows:
For the domain value, x = -2:
h(-2) = 2(-2) + 3,
or, h(-2) = -4 + 3,
or, h(-2) = -1.
Therefore, for the domain value, x = -2, the range value h(-2) is -1.
For the domain value, x = -1:
h(-1) = 2(-1) + 3,
or, h(-1) = -2 + 3,
or, h(-1) = 1.
Therefore, for the domain value, x = -1, the range value h(-1) is 1.
For the domain value, x = 0:
h(0) = 2(0) + 3,
or, h(0) = 0 + 3,
or, h(0) = 3.
Therefore, for the domain value, x = 0, the range value h(0) is 3.
For the domain value, x = 1:
h(1) = 2(1) + 3,
or, h(1) = 2 + 3,
or, h(1) = 5.
Therefore, for the domain value, x = 1, the range value h(1) is 5.
For the domain value, x = 2:
h(2) = 2(2) + 3,
or, h(2) = 4 + 3,
or, h(2) = 7.
Therefore, for the domain value, x = 2, the range value h(2) is 7.
Therefore, the linear function h(x) = 2x + 3, with the domain {-2, -1, 0, 1, 2}, has the range {-1, 1, 3, 5, 7}.
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On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The number b varies directly with the number a. For example b = 2a equals negative 2 and StartFraction 3 Over 4 EndFraction. when a = –2a equals negative 2 and StartFraction 3 Over 4 EndFraction.. Which equation represents this direct variation between a and b?
b = –a
–b = –a
b – a = 0
b(–a) = 0
Option 1. The equation that represents the direct variation that exists between a and b is b = –a.
How to find the direct variation hereThe direct variation is of this form y ∝ x
This gives the equation
y = kx
The constant is k
From our question we have
b ∝ a so b = ka
b = [tex]2\frac{3}{4}[/tex]
a = [tex]-2\frac{3}{4}[/tex]
Remember that b = ka
[tex]2\frac{3}{4} = -2\frac{3}{4} k[/tex]
This would cancel out to
1 = -k
or k = -1
Hence the equation would be written as
b = -a
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[tex]3x+9+2x=x-2x-3[/tex]
Answer:
Step-by-step explanation:
Equation
3x + 9 + 2x = x - 2x - 3
Solution
Combine all the like terms.
3x+2x+9 = x - 2x - 3
5x + 9 = -x - 3 Add x to both sides of the equation
5x+x +9 = -x+x -3 Combine
6x + 9 = - 3 Subtract 9 from both sides of the equation
6x+9-9 = - 3-9 Combine
6x = -12 Divide both sides by 6
6x/6 = -12/6
x = - 2
Answer x = - 2
Can't seem to solve this one
Answer:
.88
Step-by-step explanation:
[tex] \sqrt{.7775} = .88[/tex]
The standard deviation is the square root of the variance.
(2 StartRoot 7 EndRoot + 3 StartRoot 6 EndRoot) (5 StartRoot 2 EndRoot + 4 StartRoot 3 EndRoot)
What is the approximate value of x in the diagram below? (Hint: You will need
to use one of the trigonometric ratios given in the table.)
Answer:
B. 39.59
Step-by-step explanation:
So 43 degrees, you know the length of the opposite side (27) and the angle (43 degrees), the only unknown is the hypotenuse. So you're looking for a trigonometric ratio that uses the angle (all of them do, except technically the inverse don't), the opposite side, and the hypotenuse. Sine is defined as [tex]\frac{opposite}{hypotenuse}[/tex]. So let's plug in known values:
[tex]sin(43) = \frac{27}{x}[/tex]
Multiply both sides by x
[tex]sin(43) * x = 27[/tex]
divide both sides by sin(43)
[tex]x=\frac{27}{sin(43)}[/tex]
Normally I would use a calculator, but in this case I'll use the approximation given in the problem of 0.682
[tex]x=\frac{27}{0.682}[/tex]
simplify the fraction
[tex]x\approx39.59[/tex]
What should be subtracted from 5/8 to make it -1
Answer:
13/8
Step-by-step explanation:
let the number be x
5/8 - x = -1
-x = -1 - 5/8
-x = - 13/8
x = 13/8
5/8- 13/8 = -1
Answer:
13/8
Step-by-step explanation:
5/8 - x = -1 where x is the number to be found.
- x = -1 - 5/8
x = 5/8 + 1
= 13/8.
Triangle A C B is cut by bisector C D. The lengths of sides A C and C B are congruent.
CD bisects ∠ACB. Which statements must be true? Check all that apply.
AD = BD
AC = CD
m∠ACD = m∠BCD
m∠CDA = m∠CDB
m∠DCA = m∠DAC
The statements that are true are AD = BD , m∠ACD = m∠BCD , m∠CDA = m∠CDB , Option A , C and D
What is a Triangle ?A triangle is a polygon with three sides , angles and vertices.
It is given a Δ ACB
CD is the angle bisector of ∠ACB
AC ≅ CB
To determine which statement are true
First it has to be proved that Δ DCB is congruent to Δ ACD
In the triangles
AC = CB (Given )
∠ACD = ∠DCB (CD is the angle bisector of ∠ACB)
DC = DC ( Common side )
thus Δ DCB is congruent to Δ ACD
Therefore the following statements are true
AD = BD (CPCTC)
m∠ACD = m∠BCD (CPCTC)
m∠CDA = m∠CDB (CPCTC)
Therefore Option A , C and D are the statements that are true .
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Answer:
Step-by-step explanation:
a,c,d
Name the marked angle in 2 different ways
The 2 different angles you can name are <UVT and <VST. Hope this helps and please mark brainlist
You are trying to help esteban understand the concept of a 5% slack in the line. you explain that having 5% slack means that the length is 5% longer than it would be
The correct answer is 5.25%.
What is slack length?These include the optimal muscle fibre length, the length at which the muscle can generate maximum force, and the tendon slack length, the length at which the tendon starts to generate a resistive force to stretch.
Given,
two figure
To find, slack length (l)
AB = √4² + 3² ⇒ 5
l = [tex]5 + \frac{5}{100} * 5[/tex]
l = 5.25
Hence slack length is 5.25
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If it were completely straight. You compare ΔABC to Fiqure DEF where curve DE is 5% longer than line segment AB . t Right Triangle without Slack Figure with Slack Brake :cord Enter the length of curve DE given that the curve is 5% longer than line segment AB.
Please help me( ´人` )
The following diagram shows a quadrant OPQ in the sector ORST with centre O and a radius of 21 cm.
Given Q is the midpoint of OR, calculate the area, in cm², of the shaded region.
A 285.025
B 308.045
C 365.075
D 410.025
Answer:
D
Step-by-step explanation:
First let's list down the formulas we will be using.
Area of Quadrant = 1/4 x Area of Circle
= [tex]\frac{1}{4} \pi r^{2}[/tex]
Area of Part of a circle = (θ/360)[tex]\pi r^{2}[/tex]
First, we will find Angle QOT.
Angle QOT = 360 - 231 = 129
Area of ORST = [tex]\frac{129}{360} \pi (21)^{2} \\=\frac{6321}{40} \pi cm^{2}[/tex]
Next we know that, Q is midpoint of OR, therefore OQ = QR
and OQ = 0.5 * OR
OQ = 0.5 * 21 = 10.5cm = radius of Quadrant QOP
Area of Quadrant QOP = [tex]\frac{1}{4} \pi (10.5)^{2} \\=\frac{441}{16} \pi cm^{2}[/tex]
Lastly,
Area of Shaded Region = Area of ORST - Area of Quadrant QOP
= [tex]\frac{6321}{40} \pi -\frac{441}{16} \pi \\= 409.86cm^{2}[/tex]
Similar to the other question you asked, choose the closes answer as there might be some rounding differences. I kept it in fractions as it will ensure maximum precision.