Answer:
The odd in favor of drawing a red marble is 5:8
Step-by-step explanation:
Let’s calculate the probability of selecting a red marble
That would be;
number of red marbles/Total number of marbles
Total number of marbles = 2 + 5 + 6 = 13
So the probability of drawing a red marble is 5/13
The probability of not drawing a red marble = 1-5/13 = 8/13
So the odd in favor of drawing a red marble is 5:8
Find two positive numbers satisfying the given requirements. The product is 216 and the sum is a minimum. (No Response) (smaller value) (No Response) (larger value)
Answer:
[tex]x1=\sqrt{216} \ and \ y1=\ \sqrt{216}[/tex]
Step-by-step explanation:
Let the first number is x1 and other number is y1 then
[tex]x1 * y1 =216[/tex]
Therefore
[tex]y1=[/tex][tex]\frac{216}{x1}[/tex]
also there sum is
[tex]s1 =x1+y1[/tex]....Eq(1)
Putting the value of y1 in the previous equation
[tex]s1\ =x1 + \frac{216}{x1}[/tex]........Eq(2)
Differentiate the the Eq(2) with respect to x1 we get
[tex]\frac{ds1}{dx1} \ =\ 1+216*\frac{1}{-x1^{2} }[/tex]
[tex]\frac{ds1}{dx1} \ =\ 1-\frac{216}{x1^{2} }\ =\ 0[/tex]
[tex]{x1^{2} }\ =\ 216\\ x1=\sqrt{216}[/tex]
Putting the value of X1 in Eq(1) we get
[tex]y1=\frac{216}{\sqrt{216} } \\y1=\frac{216*\sqrt{216} }{216} \\y1=\ \sqrt{216}[/tex]
So [tex]x1=\sqrt{216} \ and \ y1=\ \sqrt{216}[/tex]
two lines, 3y-2x=21 and 4y+5x=5, intersect at the point Q. find the coordinates of Q.
Answer:
Q = (- 3, 5 )
Step-by-step explanation:
Given the 2 equations
3y - 2x = 21 → (1)
4y + 5x = 5 → (2)
Multiplying (1) by 5 and (2) by 2 and adding will eliminate the x- term.
15y - 10x = 105 → (3)
8y + 10x = 10 → (4)
Add (3) and (4) term by term to eliminate x
23y = 115 ( divide both sides by 23 )
y = 5
Substitute y = 5 into either of the 2 equations and solve for x
Substituting into (2)
4(5) + 5x = 5
20 + 5x = 5 ( subtract 20 from both sides )
5x = - 15 ( divide both sides by 5 )
x = - 3
Solution is (- 3, 5 )
4p+6-3 combine the like terms to create an equivalent expression
Answer:
4p + 3Step-by-step explanation:
6 - 3 = 3
The numbers can be simplified to become the number 3.
4p stays the same.
Place the variable and numbers together.
This will result in the equation of 4p + 3.
The answer is 4p + 3.an experiment consists of rolling two fair dice and adding the dots on the two sides facing u. Find the probability of the sum of the dots indicate. A sum less than or equal to 6
Answer:
41.67% probability of the sum of the dots indicate a sum less than or equal to 6
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes:
In this problem, we have these possible outcomes:
Format(Dice A, Dice B)
(1,1), (1,2), (1,3), (1,4), (1,5),(1,6)
(2,1), (2,2), (2,3), (2,4), (2,5),(2,6)
(3,1), (3,2), (3,3), (3,4), (3,5),(3,6)
(4,1), (4,2), (4,3), (4,4), (4,5),(4,6)
(5,1), (5,2), (5,3), (5,4), (5,5),(5,6)
(6,1), (6,2), (6,3), (6,4), (6,5),(6,6)
There are 36 possible outcomes.
Desired outcomes:
Sum of 6 or less. They are:
(1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (4,1), (4,2), (5,1)
15 desired outcomes
15/36 = 0.4167
41.67% probability of the sum of the dots indicate a sum less than or equal to 6
Find S9 for the geometric sequence: an=2∙5n−2 Please show work
Answer:
I guess that the geometric sequence is:
An = 2*5^(n - 2)
we usually have that that a geometric sequence is something like:
A*r^n.
so i will write the first two terms of our sequence separated, and i will calculate the summation of the first seven terms after n = 2.
A0 = 2*5^(-2) = 2/25
A1 = 2*5^-1 = 2/5
Then, the sum for a geometric sequence is:
SN = A(1 - r^N)/(1 - r)
in this case, A = 2 and r = 5, and i will use N = 7 for the sequence 2*5^n
S7 = 2*(1 - 5^7)/(1 - 5) = 39,062.
now we add the first terms that we obtained before and get:
S9 = 2/25 + 2/5 + 39,062 = 39,062.48
Let $x$ be the smallest multiple of $11$ that is greater than $1000$ and $y$ be the greatest multiple of $11$ less than $11^2$. Compute $x - y$.
Answer:
891
Step-by-step explanation:
x has to be 1001 and y has to be 11 * 10 = 110 so x - y = 1001 - 110 = 891.
Answer:
891
Step-by-step explanation:
[tex]$1001$ is the smallest integer greater than $1000$. It also happens to be a multiple of $11$, since $1001 = 11 \cdot 91$. So $1001$ is the smallest multiple of $11$ greater than $1000$ and thus $x = 1001$.The greatest multiple of $11$ that is less than $11^2 = 11 \cdot 11$ is$$11 \cdot (11 - 1) = 11 \cdot 10 = 110$$Thus $y = 110$, and we compute$$x - y = 1001 - 110 = \boxed{891}$$[/tex]
Hope this helped! :)
Please answer this correctly
Answer:
5/12
Step-by-step explanation:
The probability of rolling a number greater than 1 is 5/6, because 5 numbers on a 6-sided dice are greater than 1.
The probability of rolling an even number is 3/6, because 3 numbers on a 6-sided dice are even numbers.
[tex]5/6 \times 3/6[/tex]
[tex]=15/36[/tex]
[tex]=5/12[/tex]
Please answer this question for me in two minutes
Answer:
∠RQN and ∠MNQ
Step-by-step explanation:
These two angles are alternate interior angles because they are found on opposite sides of the transversal and inside the two lines.
please help me on number 11 if you know how to :) !
Answer:
(x, y) = (25, 18)
Step-by-step explanation:
Use the angle sum theorem. You can write equations for the right angle and for the linear angle.
(x +11) +(3y) = 90 . . . . sum of angles making the right angle
(y +7) +90 +65 = 180 . . . . sum of angles making the linear angle
From the second equation, we have ...
y = 18 . . . . subtract 162
Substituting into the first equation gives ...
x + 11 + 3(18) = 90
x = 25 . . . . subtract 65
The values of x and y are 25 and 18, respectively.
_____
Check
VQ = 18+7 = 25
QR = 25 +11 = 36
RS = 3·18 = 54
ST = 65
The totals are 36 +54 = 90; 25 +36 +54 +65 = 180, as required.
Which graph represents the function y = 2x - 4?
Answer:
The second graph on the top
Step-by-step explanation:
As the last number says it would cross the y axis at -4 and go up two over one so 1,-2 then 2,0 3,2 4,4 etc.
The x-intercept of y = 2x - 4 is (2,0) thus the third graph represents the function y = 2x - 4.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given function,
y = 2x - 4
At x = 0, y = -4 thus (0,-4) will be the y-intercept.
At y = 0, 2x - 4 = 0 or x = 2 thus (2,0) will be the x-intercept.
The line passing through (2,0) and (0,-4) is shown in the third graph.
Hence "The x-intercept of y = 2x - 4 is (2,0) thus the third graph represents the function y = 2x - 4".
For more about the linear function,
brainly.com/question/21107621
#SPJ5
Does the point (3.28) lie on the line y = 19+ 3x
Answer:
yes
Step-by-step explanation:
y = 19+ 3x
Let x = 3 and y = 28
28 = 19 + 3*3
28 =19+9
28 = 28
This is true so the point is one the line
Yolonda wanted to see if there was a connection between red hair and green eyes. She observed people walking past her on the street
Answer:
I saw one person that way
Step-by-step explanation:
she had red hair and green eyes with pale skin
what is the solution of the inequality shown below
Answer:
there is no inequality..
Step-by-step explanation:
Answer:
???
Step-by-step explanation:
Find measure of arc or angle indicated
9) brainliest & 10 + points!
Answer:
no supplement
Step-by-step explanation:
Supplementary angles add to 180 degrees,
This angle is larger than 180 degrees by itself, so it has no supplement
Write the standard equation of the circle with center (4, -2) and radius 5.2.
Answer:
If the radius is really 5.2, then the standard equation of this circle is:
[tex](x-4)^2+(y+2)^2=27.04[/tex]
Now, if there was a typo in your question, and the radius is "5", then, the equation becomes:
[tex](x-4)^2+(y+2)^2=25[/tex]
Step-by-step explanation:
Recall that the standard equation for a circle of radius R, centered at [tex](x_0,y_0)[/tex], is given by:
[tex](x-x_0)^2+(y-y_0)^2=R^2[/tex]
Therefore in the case of a circle of radius R = 5.2, and centered at (4, -2), we have:
[tex](x-x_0)^2+(y-y_0)^2=R^2\\(x-4)^2+(y-(-2))^2=(5.2)^2\\(x-4)^2+(y+2)^2=27.04[/tex]
A
cat is sitting on a 2 m high fence when it sees a mouse
1.5 m away from
the foot of the fence The cat leaps along
the path y = - 0.6x - x2, where the origin is where the cat
was sitting and xis measured in metres. Find, by a
graphical method, whether the cat lands on
the mouse.
Answer:
what's this... ..........
For every 100,000 baby boys born in the US in 2018, the Office of National Statistics (ONS) used current mortality rates to predict the number that would die at each age. According to the ONS, the data is skewed to the left - with most males born in 2018 predicted to die in their eighties and comparatively few predicted to die as babies. The two measures of center for the life expectancy of US males born in the 2018 are 79 years and 82 years.
Which number best represents the median life expectancy for US males born in 2018 and which number best represents the mean?
1- 79 years is the median and 82 years is the mean
2- 79 years is the mean and 82 years is the median.
Answer:
2 - 79 years is the mean and 82 years is the median.
Step-by-step explanation:
In a given skewed to the left graph, to be able to distinguish between the two measures of center for this expectancy study, the mean is relatively smaller than the median in a skewed left distribution curve.
In this study, The two measures of center for the life expectancy of US males born in the 2018 are 79 years and 82 years. Thus, 79 years is the mean and 82 years is the median.
Please answer this correctly
Please answer this correctly
Answer:
1/2
Step-by-step explanation:
The numbers greater than 6 or less than 3 are 7, 8, 2, and 1.
4 numbers out of 8.
4/8 = 1/2
P(greater than 6 or less than 3) = 1/2
Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they occur. f (x )equalsx Superscript 4 Baseline minus 18 x squared plus 9; [negative 5 comma 5 ]
Answer:
absolute maximum = 184absolute minimum = -72Step-by-step explanation:
Given the function f(x) = x⁴-18x²+9 at the interval [-5, 5], the absolute maximum and minimum values at this end points are as calculated;
at end point x = -5
f(-5) = (-5)⁴-18(-5)²+9
f(-5) = 625-450+9
f(-5) = 184
at end point x = 5
f(5) = (5)⁴-18(5)²+9
f(5) = 625-450+9
f(5) = 184
To get the critical point, this points occurs at the turning point i.e at
dy/dx = 0
if y = x⁴-18x²+9
dy/dx = 4x³-36x = 0
4x³-36x = 0
4x (x²-9) = 0
4x = 0
x = 0
x²-9 = 0
x² = 9
x = ±3
Using the critical points [0, ±3]
when x = 0, f(0) = 0⁴-18(0)+9
f(0) = 9
Similarly when x = 3, f(±3)= (±3)⁴-18(±3)²+9
f(±3) = 81-162+9
f(±3) = -72
It can be seen that the absolute minimum occurs at x= ±5 and and absolute minimum occurs at x =±3
absolute maximum = 184
absolute minimum = -72
How many feet of chain fence are necessary to enclosed a dog pen that is square and has a area of 64 sq feet
Answer:
32 feet
Step-by-step explanation:
area of square is given by side^2
Perimeter of square is given by 4*side
_______________________________
Given
area of square = 64 sq feet
side^2 = 64
side^2 = 8^2
side = 8
thus side = 8 feet
_______________________________________
The dog pen is fenced with chain, hence chain will be fence at the edge of square and at the perimeter.
Thus, length of chain required will be same as the Perimeter of square.
Perimeter of given dog pen with side length 8 feet = 4*8 = 32 feet.
Thus, 32 feet of chain fence is required.
Poly(3-hydroxybutyrate) (PHB), a semicrystalline polymer that is fully biodegradable and biocompatible, is obtained from renewable resources. From a sustain-ability perspective, PHB offers many attractive proper-ties though it is more expensive to produce than standard plastics. The accompanying data on melting point (°C) for each of 12 specimens of the polymer using a differential scanning calorimeter appeared in the article "The Melting Behaviour of Poly(3-1-1ydroxybutyrate) by DSC. Reproducibility Study" (Polymer Testing, 2013: 215-220).
180.5 181.7 180.9 181.6 182.6 181.6
181.3 182.1 182.1 180.3 181.7 180.5
Compute the following:
a. The sample range
b. The sample variance S2 from the definition (Hint: First subtract 180 from each observation.]
c. The sample standard deviation
d. S2 using the shortcut method
Answer:
(a) 2.3
(b) 0.5245
(c) 0.7242
(d) 0.5245
Step-by-step explanation:
The data provided is:
S = {180.5, 181.7, 180.9, 181.6, 182.6, 181.6, 181.3, 182.1, 182.1, 180.3, 181.7, 180.5}
(a)
The formula to compute the sample range is:
[tex]\text{Sample Range}=\text{max.}_{x}-\text{min.}_{x}[/tex]
The data set arranged in ascending order is:
S' = {180.3 , 180.5 , 180.5 , 180.9 , 181.3 , 181.6 , 181.6 , 181.7 , 181.7 ,, 182.1 , 182.1 , 182.6}
The minimum value is, 180.3 and the maximum value is, 182.6.
Compute the sample range as follows:
[tex]\text{Sample Range}=\text{max.}_{x}-\text{min.}_{x}[/tex]
[tex]=182.6-180.3\\=2.3[/tex]
Thus, the sample range is 2.3.
(b)
Compute the sample variance as follows:
[tex]S^{2}=\frac{1}{n-1}\sum(x_{i}-\bar x)^{2}[/tex]
[tex]=\frac{1}{12-1}\times [(180.5-181.41)^{2}+(181.7-181.41)^{2}+...+(180.5-181.41)^{2}]\\\\=\frac{1}{11}\times 5.7692\\\\=0.524473\\\\\approx 0.5245[/tex]
Thus, the sample variance is 0.5245.
(c)
Compute the sample standard deviation as follows:
[tex]s=\sqrt{S^{2}}[/tex]
[tex]=\sqrt{0.5245}\\\\=0.7242[/tex]
Thus, the sample standard deviation is 0.7242.
(d)
Compute the sample variance using the shortcut method as follows:
[tex]S^{2}=\frac{1}{n-1}\cdot [\sum x_{i}^{2}-n(\bar x)^{2}][/tex]
[tex]=\frac{1}{12-1}\cdot [394913.57-(12\times (181.41)^{2}]\\\\=\frac{1}{11}\times [394913.57-394907.80]\\\\=\frac{5.77}{11}\\\\=0.5245[/tex]
Thus, the sample variance is 0.5245.
The study reported, "Girls aged 5-15 in villages that received the recruiting services were 3 to 5 percentage points more likely to be in school and experienced an increase in Body Mass Index, reflecting greater nutrition and/or medical care. However, there was no net gain in height. For boys, there was no change in any of these measures." Why do you think the author points out the lack of change in the boys?
Answer:
Step-by-step explanation:
From the given information:
The study group includes Girls and Boys
So; we can have a table
Groups Treatment ( Recruiting services) Points
Girls likely to be in School and increase 3-5 %
in Body Mass Index, reflecting greater
nutrition and/or medical care.
Net gain in height -
Boys likely to be in School and increase No changes
in Body Mass Index, reflecting greater
nutrition and/or medical care.
Net gain in height No changes
Why do you think the author points out the lack of change in the boys?
From the information above; we need to understand that the point the author is trying to express is that the Recruiting services Treatment are largely beneficial for the females rather than the males.
Factorise x²+5x−6 the options are
(x+2)(x+3)
(x−1)(x+6)
(x+1)(x−6)
(x−2)(x+3)
Answer:
(x-1)(x+6)
Step-by-step explanation:
=> [tex]x^2+5x-6[/tex]
Using mid-term break formula to find it's factors
=> [tex]x^2+6x-x-6[/tex]
=> x(x+6)-1(x+6)
Taking x+6 common
=> (x-1)(x+6)
There are 60 people at the subway station 12 of them jumped the
turnstile. What percentage of people jumped the turnstile? What
percentage of people paid?
Answer:
20% of people jumped the turnstile, 80% of people paid
Step-by-step explanation:
Percentage is a ratio of one part to another part which it is a member of.
In this scenario, we are given that 12 out of 60 people did not pay as they jumped the turnstile; to calculate this as a percentage, we can simply divide 12 by 60 to find the decimal value of 0.2; when 0.2 is converted to a value out of 100, we find that it gives us 20% (0.2/1=x/100, x=0.2*100, x=20)
Assuming everyone else pays, and by taking the complementary members of the total group, we find that 80% of people will have paid.
A linear function has a slope of -7/9 and ay-intercept of 3. How does this function compare to the linear function that is
represented by the equation y+11=-7/9(x-18)?
It has the same slope and the same y-intercept.
It has the same slope and a different y-intercept.
It has the same y-intercept and a different slope.
O It has a different slope and a different y-intercept.
Answer:
same slope and same y intercept
Step-by-step explanation:
y + 11 = -7/9 (x - 18)
y + 11 = -7/9x + 14
y = -7/9x + 3
Really need help on question 8.
Answer:50.18
Step-by-step explanation:
8x+17+9x+11=102
17x+28=102
-28. -28
17x=74
<CAD=9x+11=50.18
x=74/17
to prove triangleABC is isosceles, which of the following statements can be used in the proof?
(idk the answer)
Answer:
Step-by-step explanation:
An isosceles triangle is a triangle in which two of its sides are equal. This also means that in the triangle, two angles are equal. The angles are usually the base angles. Looking at the given triangle ABC, the base angles are angle Angle A and Angle B, thus angle A = ang B
Therefore, the statement that can be used in the proof is
Angle CAB = angle CBA
Translate to an equation and solve 133 is the product of -19 and n
Answer:
Step-by-step explanation:
133 is the product of -19 and n
Translate to an equation is:
133 = -19n
then:
n = 133/-19
n = -7
Check:
133 = -19*7