Answer:
15/64
Step-by-step explanation:
3 blue
5 red marbles.
since the marble is put back in, the denominator will not change,
so to draw ONE marble, the chances would be
chances of picking a blue marble 3/8
chances of picking a red marble 5/8
3/8 * 5/8 - 15/64
please mark me brainly.
Answer:
The probability of drawing one blue marble is 3/8 because you have three blue marbles out of a total of eight marbles. The probability of drawing a second blue marble is also 3/8 but since you have to draw both marbles consecutively you have to multiply the probabilities of drawing each marble. So,
3/8•3/8 = 9/64.
Now you need to change it to a percent.
We do this by
9/64 x 100 = 14% approx
PLEASE HELP WITH THIS 25POINTSSSS!!!!!!
assume the graph of a function of the form y=asin(k(x+b)) is given below. which of the following are possible values for a, k, and b?
Answer:
C
Step-by-step explanation:
Okay, here we have the equation of the sine wave as;
y = asin(k(x + b))
By definition a represents the amplitude
k represents the frequency
b represents the horizontal shift or phase shift
Now let’s take a look at the graph.
By definition, the amplitude is the distance from crest to trough. It is the maximum displacement
From this particular graph, amplitude is 4
K is the frequency and this is 1/period
The period ;
Firstly we find the distance between two nodes here and that is 1/2 from the graph (3/4 to 1/4)
F = 1/T = 1/1/2 = 1/0.5 = 2
b is pi/4 ( phase is positive as it is increasing rightwards)
So the correct option here is C
Answer: it is
a=4, k=2, and b= pi/4
Step-by-step explanation:
got it right on A P E X
Find the the perimeter of triangle JKL
Answer:
60
Step-by-step explanation:
Tangents to a circle from a common external point are congruent, thus
JA = JB = 6
AL = KC = 11
CK = KB = 13
Thus
perimeter = 2(6) + 2(11) + 2(13) = 12 + 22 + 26 = 60
The perimeter of a triangle JKL is 60 units. Therefore, option D is the correct answer.
What is tangent property of a circle?A Tangent of a Circle is a line that touches the circle’s boundary at exactly one point. The tangential point is the place where the line and the circle meet. The lengths of tangents drawn from an external point to a circle are equal.
Given that,
Given that, JK, KL and LJ are all tangent to O. JA=6, AL=11 and CK=13.
In the figure,
From the external point J, tangents JA=JB
JB=6
From the external point L, tangents AL=LC
LC=11
From the external point K, tangents KB=KC
BK=13
So, JL=JA+LA
JL=6+11=17
LK=LC+CK
= 11+13
= 24
JK=JB+KB
= 6+13
= 19
Now, the perimeter is JL+LK+JK
= 17+24+19
= 60 units
Therefore, option D is the correct answer.
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https://brainly.com/question/27009841.
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Can someone please help I really need help
1 pound = 16 ounces.
9 pounds of sand x 16 = 144 total ounces of sand.
144 ounces / 6 ounce bottle = 24
He made 24 bottles.
Answer:
24 bottles
Step-by-step explanation:
Trevor bought 9 pounds of sand
He fills 6-ounce bottles
First let's convert pounds to ounces:
9 pounds= 9*16 ounces= 144 ouncesNow, number of bottles required:
144 / 6 = 24 bottlesTHIS IS A WHOLE PAGE ITS FOR 40 points MIDDLE SCHOOL PLEASE HELP
Answer:
the leanth of the track is 1/2 miles long.
Step-by-step explanation:
Im sorry that i couldn't complete all the questions, I had a family thing to go to so sorry.
31.7+42.8+26.4+x/4=39.1 100.9+x/4
31.7 + 42.8 + 26.4 + x/4 = 39.1
Add up all the plain numbers on the left side:
100.9 + x/4 = 39.1
Subtract 100.9 from each side:
x/4 = 39.1
Multiply each side by 4:
x = 156.4
Answer:
Step-by-step explanation:
To solve this, we have to first find the sum of each of the terms on the numerator of the fraction on the right:
31.7 + 42.8 + 26.4 + x = 100.9 + x
The sum of terms ind the numerator of the fraction on the right.
39.1 + 100.9 + x= 140 + x
Next step is to cancel out the denominators as they are equal.
Now we are left with
100.9+x = 140+x
Rearrange and solve
To get x = 156.4
Your bank has two checking account options, one pays tax-free interest at a rate of 3% per annum and the other pays taxable interest at a rate of 4.5% per annum. You are currently in a 24% marginal tax bracket. If you converted the tax-free interest rate to the comparable taxable interest rate you would find that:
Answer:
The comparable tax rate is 3.95%, thus you should choose the 4.5% taxable account option.
Step-by-step explanation:
In order to convert the tax-free interest rate of 3% per year to the comparable taxable interest rate, one should consider that 3% is the interest rate after the marginal tax discount. If you are at the 24% marginal tax bracket, the comparable rate is:
[tex]r*(1-0.24)=0.03\\r=\frac{0.03}{0.76}\\r=0.0395\\r=3.95\%[/tex]
The comparable tax rate is 3.95%, thus you should choose the 4.5% taxable account option.
The comparable tax rate is 3.95%, so you should choose the 4.5% taxable account option.
calculation of the comparable tax rate:Since the rate is 3% per annum, the other rate should be 4.5% and there is tax rate of 24%
So,
rate (1 - 24%) = 3%
rate = 3.95%
Learn more about the rate here: https://brainly.com/question/13021566
Please help! It is Geometry
Answer:
X=20; pqr = 130°
Step-by-step explanation:
They key here is to notice that the instructions say that qs bisects pqr, meaning that it evenly cuts it into 2 pieces. So, to find x, you just solve for x in the equation 3x+5=2x+25. Then, you plug it back into either side of the equation, at which point, you should get 65. Since it is half of pqr, just double it to get your final answer of 130°
Trig work that i don’t understand. pls help
Answer:
B. 642.22 units squared
Step-by-step explanation:
Knowing that QP ║ MN and ∠QLP = ∠MLN, then ΔQLP ~ ΔMLN.
That means corresponding sides and heights have the same ratios.
We know that QP = 25, which corresponds to MN = 34. Also, the height of ΔQLP, LS, corresponds to the height of ΔMLN, LR = LS + SR = LS + 10. Let's say LS = x.
We can now write:
QP / MN = LS / LR
25 / 34 = x / (x + 10)
Cross-multiply:
34 * x = 25 * (x + 10)
34x = 25x + 250
34x - 25x = 250
9x = 250
x = 250/9 ≈ 27.78 units
So, LS = 27.78 units and LR = LS + SR = 27.78 + 10 = 37.78 units.
The area of a triangle is denoted by A = (1/2) * b * h, where b is the base and h is the height.
Here, the base of ΔLMN is MN = 34, and the height is LR = 37.78. Plug these in:
A = (1/2) * b * h
A = (1/2) * 34 * 37.78 ≈ 642.22 units squared
The answer is thus B.
~ an aesthetics lover
A walking path across a park is represented by the equation A walking path across a park is represented by the equation y= -3x-3. A New path will be built perpendicular to this path. The Paths will intersect at a point paths will intersect at a point (-3, 6). Identify The equation that represents the new path.
Answer:
The equation representing the new path is;
[tex]y = \dfrac{1}{3} \cdot x + 7[/tex]
Step-by-step explanation:
The equation of the first walking park across the park is y = -3·x - 3
By comparison to the equation of a straight line, y = m·x + c, where m = the slope of the line, the slope of the line y = -3·x - 3 is -3
The park's new walking path direction = Perpendicular to first walking path
A line perpendicular to a line of (as example) y = m₁·x + c has a slope of -1/m
∴ The park's new walking path slope = -1/(Slope of first path) = -1/(-3) = 1/3
The point the paths will intersect = (-3, 6)
The equation of the line is found by recalling that [tex]Slope, \, m_1 =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Where:
y₂ and x₂ are coordinates of a point on the new walking path
y₁ and x₁ are coordinates of a point on the new walking path intersecting the first walking path
Given that (-3, 6) is the intersection of the two walking paths, therefore, it is a point on the new walking path and we can say x₁ = -3, y₁ = 6
Therefore, we have;
[tex]Slope, \, m_1 =\dfrac{y_{2}-6}{x_{2}-(-3)} = \dfrac{y_{2}-6}{x_{2}+3} =\dfrac{1}{3}[/tex]
Which gives;
(y₂ - 6) × 3 = x₂ + 3
y₂ - 6 = (x₂ + 3)/3
y₂ = (x₂ + 3)/3 + 6 = 1/3·x₂ + 1 + 6 = 1/3·x₂ + 7
Which gives the equation representing the new path as [tex]y = \dfrac{1}{3} \cdot x + 7[/tex].
The probability distribution for the number of students in statistics classes at is given, but one value is missing. Fill in the missing value, then answer the questions that follow. Round solutions to three decimal places, if necessary. x P ( x ) 23 0.08 24 0.12 25 0.15 26 27 0.1 Find the mean number of students in a Statistics class at : μ = Find the standard deviation of the number of students in a Statistics class at : σ =
Answer:
The mean number of students in a Statistics class = 25.47
The standard deviation of the number of students in a Statistics class = 1.081.
Step-by-step explanation:
We are given the following probability distribution for the number of students in statistics classes below;
X P(X) [tex]X \times P(X)[/tex] [tex]X^{2} \times P(X)[/tex]
23 0.08 1.84 42.32
24 0.12 2.88 69.12
25 0.15 3.75 93.75
26 0.55 14.3 371.8
27 0.10 2.7 72.9
Total 1 25.47 649.89
The missing value against value 26 is calculated as;
= 1 - (0.08 + 0.12 + 0.15 + 0.10) = 0.55
The mean of the following data is given by;
Mean,[tex]\mu[/tex] = [tex]\sum X \times P(X)[/tex] = 25.47
The variance of the following data is given by;
Variance,[tex]\sigma^{2}[/tex] = [tex]\sum X^{2} \times P(X) - (\sum X \times P(X))^{2}[/tex]
= [tex]649.89 - (25.47)^{2}[/tex]
= 1.1691
Standard deviation = [tex]\sqrt{1.1691}[/tex] = 1.081
Help please and thank you: The graph of f x = x2 − 2x − 3 is shown. Which of these describes the effect changing f x to f −2x will have on the graph?
Answer:
Option (C).
Step-by-step explanation:
Graphed function is,
f(x) = x² - 2x - 3
= x² - 2x + 1 - 1 - 3
= (x² - 2x + 1) - 4
= (x - 1)² - 4
f(-2x) = (-2x)² - 2(-2x) - 3
= 4x² + 4x - 3
= 4(x² + x) - 3
= 4[x² + 2(0.5)x + (0.5)²- (0.5)²] -3
= 4(x + 0.5)² - 1 - 3
= 4(x + 0.5)² - 4
= 4[(x - 1) + 1.5]² - 4
Therefore, parent function 'f' will be a horizontal shrink by 4 units and shifted 1.5 units to the left.
Option (C) will be the answer.
? of 72 = 45 (answer in fraction)
Answer:
5/8
Step-by-step explanation:
72 = 16/10 of 45
45 = 10/16 = 5/8 of 72
In ΔABC, if AB = 10 and BC = 6, AC can NOT be equal to
A. 4
B. 6
C. 8
D. 10
Answer:
A
Step-by-step explanation:
The answer is A because in the triangle, the two smaller sides added up have to be more than the bigger side, or equal, if it is a right triangle. so 4 is the smallest 4+6=10, so it does not work, but lets see if it is a right triangle
4^2+6^2=16+36=52. it would have to equal 100 to be a right triangle. Use Pythagorean thereon.
For a triangle, the any two sides must be greater than the third side.The measure of AC cannot be equal to 4
What is a triangle?A triangle has three sides and angle. For a triangle, the any two sides must be greater than the third side.
Given the following parameters
AB = 10 and
BC = 6
The measure of AC must be 8 for the theorem above to be true
6 +8 > 10
6 +10 > 8
10 + 8 > 6
Hence the measure of AC cannot be equal to 4
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The area of a rectangular garden is given by the quadratic function:A(x)=-6x^2+105x-294A . Knowing that the area, length, and width all must be a positive value puts restrictions on the value of x. What is the domain for the function? Explain how you determined the domain. For what value of x, produces the maximum area? What is the maximum area of the garden? What is the Range of the function? Explain how you determined the range? What value(s) of x produces an area of 100 square units?
Answer and Step-by-step explanation:
The domain of a function is the values the invariable can assume to result in a real value for the variable. In other words, it is all the values x can be.
Since it's related to area, the values of x has to be positive. The domain must be, then:
[tex]-6x^{2} + 105x - 294 = 0[/tex]
Solving the second degree equation:
[tex]\frac{-105+\sqrt{105^{2} - 4(-2)(-294)} }{2(-6)}[/tex]
x = 3.5 or x = 14
The domain of this function is 3.5 ≤ x ≤ 14
The maximum area is calculated by taking the first derivative of the function:
[tex]\frac{dA}{dx} = -6x^{2} + 105x - 294[/tex]
A'(x) = -12x + 105
-12x + 105 = 0
-12x = -105
x = 8.75
A(8.75) = [tex]-6.8.75^{2} + 105.8.75 - 294[/tex]
A(8.75) = 165.375
The maximum area of the garden is 165.375 square units.
The Range of a function is all the value the dependent variable can assume. So, the range of this function is: 0 ≤ y ≤ 165.375, since this value is the maximum it will reach.
A(x) = 100
[tex]100 = -6x^{2} + 105x-294[/tex]
[tex]-6x^{2} + 105x - 394 = 0[/tex]
Solving:
[tex]\frac{-105+\sqrt{105^{2}-4(-6)()-394} }{2(-6)}[/tex]
x = 5.45 or x = 12.05
The values of x that produces an area of 100 square units are 5.45 and 12.05
Brandybuck Insurance Company (BIC) is deciding whether to insure the lives of those leading a quest to Moria. Based on past experience, the probability of surviving such a quest is 85.4%. If BIC charges a premium of 5,533 silver coins and would pay a death benefit of 59,086 silver coins if the insured were to die, what is the expected value of this insurance policy to BIC?
Round to the nearest silver coin as needed. If the expected value is a loss to BIC, enter your answer as a negative number.
Answer:
-3901 silver coins (a loss)
Step-by-step explanation:
Probability of surviving the quest = 85.4% (Gain of 5,533 silver coins.)
If the insured were to die, the insurance company would pay a death benefit(incur a loss) of 59,086 silver coins.
Therefore:
The probability of not surviving the quest = 100%-85.4% =14.6%
Therefore, the expected value of this insurance policy to the insurance company
[tex]=(5,533 X 85.4\%)+(-59,086 X 14.6\%)\\=(5,533 X 0.854)+(-59,086 X 0.146)\\=-3901.37\\\approx -3901$ silver coins[/tex]
The expected value of this insurance policy to BIC is -3901 silver coins
The expected value of this insurance policy to BIC is -3901 silver coins (a loss)
Calculation of the expected value:Since st to Moria. Based on past experience, the probability of surviving such a quest is 85.4%. If BIC charges a premium of 5,533 silver coins and would pay a death benefit of 59,086 silver coins
So here the expected value is
= 85.4% of 5,533 + (14.6% of -59,086)
= -3901
Hence, The expected value of this insurance policy to BIC is -3901 silver coins (a loss)
Learn more about policy here: https://brainly.com/question/10189250
In a collection of red, blue, and green marbles, there are 25% more red marbles than blue marbles, and there are 60% more green marbles than red marbles. Suppose that there are $r$ red marbles. What is the total number of marbles in the collection?
Answer:
The total number of marbles is 3.4*r
Step-by-step explanation:
We have 25% more red than blue, so we can write the equation:
[tex]red = 1.25*blue[/tex]
We have 60% more green than red, so:
[tex]green = 1.6*red[/tex]
In total we have 'r' red marbles, so:
[tex]red = r[/tex]
The total number of marbles in the collection is the sum of all three amount of marbles:
[tex]total = red + blue + green[/tex]
[tex]total = red + (red/1.25) + 1.6*red[/tex]
[tex]total = r + 0.8*r + 1.6*r[/tex]
[tex]total = 3.4*r[/tex]
The total number of marbles is 3.4*r
Maureen spent sh 207 to buy 7 exercise books and 4 pens while Sharon spent sh 165 to buy 5 exercise books and 5 pens of same type.Find the cost of each item
Answer:
book 25; pen 8
Step-by-step explanation:
If we let b and p represent the cost of a book and a pen, respectively, then the two purchases can be written as ...
7b +4p = 207
5b +5p = 165
Multiply the second equation by 4/5 and subtract the result from the first equation:
(7b +4p) -4/5(5b +5p) = (207) -4/5(165)
3b = 75 . . . . simplify
b = 25 . . . . . divide by 3
Dividing the second equation by 5 gives ...
b + p = 33
Solving for p, we have ...
p = 33 -b = 33 -25 = 8
The cost of an exercise book is 25; the cost of a pen is 8.
PLEASE HELP IMMEDIATELY
Find x when[tex] - \frac{1}{2} + x = - \frac{21}{4} [/tex]
[tex] - \frac{23}{4} [/tex]
[tex] - \frac{19}{4} [/tex]
[tex] \frac{19}{4} [/tex]
[tex] \frac{23}{4} [/tex]
Answer:
[tex]x = - \frac{19}{4} [/tex]Option B is the correct option.
Step-by-step explanation:
[tex] - \frac{1}{2} + x = - \frac{21}{4} [/tex]
Move constant to R.H.S and change its sign:
[tex]x = - \frac{21}{4} + \frac{1}{2} [/tex]
Take the L.C.M
[tex]x = \frac{ - 21 + 1 \times 2}{4} [/tex]
[tex]x = \frac{ - 21 + 2}{4} [/tex]
Calculate
[tex]x = - \frac{19}{4} [/tex]
Hope this helps...
Good luck on your assignment..
Step-by-step explanation:
-19/4 is the correct answer for your question
Hope you can answer this one!! Offering BRAINLIEST!! Just answer a comfortable amount if you want! :))
Acellus
Find the value of x that will make
L||M.
2+5
x-5
--
X -
- [?]
Answer:
x = 60
Step-by-step explanation:
L // M
Sum of co-interior angles = 180
2x + 5 + x - 5 = 180
Add the like terms
3x + 0 = 180
3x = 180
Divide both sides by 3
3x/3 = 180/3
x = 60
The volume of a right circular cone with both
2507
diameter and height equal to his What is the
3
value of h?
A) 5
B) 10
C) 20
D) 40
Question:
The volume of a right circular cone with both diameter and height equal to h is 250/7 cm³.
What is the value of h?
Answer:
A. 5
Step-by-step explanation:
Given
Solid Shape: Cone
Volume = 250/7
Diameter = Height
Required
Find the height of the cone
Provided that the diameter (D) and the height (h) are equal; This implies that
D = h ------ (1)
Also, Diameter (D) = 2 * Radius (r)
D = 2r
Substitute 2r for D in (1)
2r = h
Multiply both sides by ½
½ * 2r = ½ * h
r = ½h
Volume of a cone is calculated by;
Volume = ⅓πr²h
⅓πr²h = 250/7
Substitute ½h for r
[tex]\frac{1}{3} * \pi * (\frac{1}{2}h)^2 * h = \frac{250}{7}[/tex]
Take π as 22/7, the expression becomes
[tex]\frac{1}{3} * \frac{22}{7} * (\frac{1}{2}h)^2 * h = \frac{250}{7}[/tex]
Open the bracket
[tex]\frac{1}{3} * \frac{22}{7} * \frac{1}{4}h^2 * h = \frac{250}{7}[/tex]
Multiply both sides by 7
[tex]7 * \frac{1}{3} * \frac{22}{7} * \frac{1}{4}h^2 * h = \frac{250}{7} * 7[/tex]
[tex]\frac{1}{3} * 22 * \frac{1}{4}h^2 * h = 250[/tex]
Multiply both sides by 3
[tex]3 * \frac{1}{3} * 22 * \frac{1}{4}h^2 * h = 250 * 3[/tex]
[tex]22 * \frac{1}{4}h^2 * h = 750[/tex]
Multiply both sides by 4
[tex]4 * 22 * \frac{1}{4}h^2 * h = 750 * 4[/tex]
[tex]22 * h^2 * h = 3000[/tex]
[tex]22 * h^3 = 3000[/tex]
Divide both sides by 22
[tex]h^3 = \frac{3000}{22}[/tex]
[tex]h^3 = 136.36[/tex]
Take cube root of both sides
[tex]h = \sqrt[3]{136.36}[/tex]
[tex]h = 5.15[/tex]
[tex]h = 5[/tex] (Approximated)
el 2 porsiento del 2 porsiento del 2 porsiento de 100 es uno
Answer:
No... El 2 porsiento del 2 porsiento del 2 porsiento de 100 es 0.0008.
Step-by-step explanation:
100 * 2% = 100 * 0.02 = 2
2 * 2% = 2 * 0.02 = 0.04
0.04 * 2% = 0.04 * 0.02 = 0.0008
perpendicular to 2x-3y+12=0
Answer:
3x +2y = 0
Step-by-step explanation:
Swapping the x- and y-coefficients and negating one of them will get you a perpendicular line. Since you have not specified a point, we can make it go through the origin:
3x +2y = 0
The perimeter of a rectangular garden is 168 feet. If the length of the garden is 6 feet more than twice the width, what is the length of the garden? Length = 52.5 feet Length = 54 feet Length = 58 feet Length = 48 feet
Answer:
Length= 58
width= 26
Step-by-step explanation:
Can someone please explain to me where did he get that 13 from or how to get it?
Answer:
2/9 * (-4 - 3) + 3
= 2/9 * (-7) + 3
= -14/9 + 3
= -14/9 + 27/9
= 13/9
Fred is making two rectangular flower beds.
The dimensions of the larger rectangle will be three times the dimensions of the smaller
rectangle.
There is going to be the same depth of soil in each flower bed.
Fred needs 180 kg of soil for the smaller flower bed.
Work out how much soil Fred needs for the larger flower bed.
Answer:
1620 kgSolution,
Let the length and breadth of smaller rectangle be l and b.
Length and breadth of larger rectangle be 3L and 3 b.
Besides, depth is same in both beds.
As area of small rectangle=180
Area of larger rectangle:
[tex]3l \times 3b \\ = 9lb \\ = 9 \times 180 \\ = 1620 \: kg[/tex]
Hope this helps..
Good luck on your assignment..
Which expression gives the solutions to the equation 2x^2 + 5x – 10 = 0?
Answer:
D.
Step-by-step explanation:
The formula to find the solutions of a quadratic equation is -b plus or minus the square root of b^2 - 4ac divided by 2a. In this case, a = 2, b = 5, and c = -10.
[tex]\frac{-b +-\sqrt{b^2 - 4ac} }{2a}[/tex]
= [tex]\frac{-5 +-\sqrt{5^2 - 4*2*-10} }{2 * 2}[/tex]
So, the right answer should be the choice on the lower right corner.
Hope this helps!
I really neeed helllpppp
Step-by-step explanation:
It's given that <KPL and <JPL are linear pair so when we add both we will get 180° so
<KPL + <JPL = 180° [ Being linear pair ]
2x + 24 + 4x + 36 = 180
6x + 60 = 180
6x = 120
x = 120/ 6
Therefore x = 20
Now
x = 20
m<KPL = 2x + 24 = 2 * 20 + 24 = 64
m<JPL = 4x + 36 = 4 *20 + 36 = 116
Work out
(8 x 1011) : (4 x 1017
Give your answer in standard form.