The probability of obtaining a success is 0.010935.
Given that the probability of obtaining success is P(X>=5),n=6,p=0.3.
We are required to find the probability of obtaining a success if the probability is P(X>=5).
Probability is basically likeliness of happening an event among all the events possible.
Binomial distribution is basically the discrete probability distribution of the number of successes in a sequence of n independent experiments.
[tex](a+b)^{n} =nC_{0}p^{0} (1-p)^{n-0}+-----------nC_{n} p^{n} (1-p)^{0}[/tex]
We have to just put n=6 anr r=6 and 5 one by one to get the probability.
P(X>=5)=[tex]6C_{5}(0.3)^{5} (0.7)^{1} +6C_{6}(0.3)^{6} (0.7)^{0}[/tex]
=6!/5!1!8*0.00243*0.7+0.000729
=6*0.00243*0.7+0.000729
=0.010206+0.000729
=0.010935
Hence the probability of obtaining a success if the probability is P(X>=5) is 0.010935.
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Solve the following system of equations. 4x + 3y = -5
- 3x + 7y=13
Answer: 13
Step-by-step explanation:
4x+3y=-5 solve x :
4x = -3y + -5 | -3y
1x = -0.75y + -1.25 | : 4
-3x + 7y = 13 solve x :
-3x + 7y = 13 | -7y
-3x = -7y = 13 | : (-3)
Equalization Method Solution: -0.75y+-1.25=2.333y+-4.333
-0, 75y - 1,25 = 2,333y - 4, 333 solve y:
-0, 75y - 1,25 = 2,333y -4, 333 | -2,333y
-3, 083y - 1,25 = -4,333 | + 1, 25
-3. 083y = -3,088 | : (-3, 083)
y = 1
Plug y = 1 into the equation 4x + 3y = -5 :
4x + 3 · 1 | Multiply 3 with 1
4x + 3 = -5 | -3
4x = -8 | : 4
x = -2
So the solution is:
y = 1, x = -2
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A recipe for lemon bars called for 9" X 13" pan. How many 1" X 1" bars can be cut? How many 2" X 2" bars can be cut? How much is wasted if your serve only 2" X 2" square bars?
The number of bars which can be cut for the 1" X 1" and 2" X 2" square bars are; 117 and 29 units respectively.
How many bars can be cut from the pan in each case?The total area of the given pan can be evaluated as follows;
Area = length × width
= 9 × 13
= 117 square units.
Hence, the number of 1" X 1" bars can be cut which can be cut from the pan;
= 117/(1×1)
= 117 1" X 1" bars.
For the 2" X 2" square bars, we have;
= 117/(2×2);
29 remainder 1 square unit.
Ultimately, one square unit of the pan is wasted for the 2" X 2" square bars.
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Which statement is true?
A) All trapezoids are similar.
B) All rectangles are squares.
C) All squares are parallelograms.
D) All equilateral triangles are congruent.
u0ukj787y8fr7hjhy7 which one
If ABC and DEF are complementary, then the value of x will be,
90 - ABC = x
90 - 53 = x
x = 37°
Answer:
x=37
Step-by-step explanation:
complementary means when added up they bring 90
so, 53+x=90
x=90-53
x=37
mark me brainliest if it helped pls :)
Subtract: (c ^ 2 - 4c + 7) from (7c ^ 2 - 5c + 3)
subtracting (c ^ 2 - 4c + 7) from (7c ^ 2 - 5c + 3) would give 6c² - 9c -4
Substracting algebraic expressionsGiven the expressions as
(c ^ 2 - 4c + 7)
(7c ^ 2 - 5c + 3)
We are to substract expression 2 from expression 1
In doing this, we need to know the BODMAS rule ( bracket, of, division, multiplication, addition and subtraction). This would help in finding the solution
(7c ^ 2 - 5c + 3) - (c ^ 2 - 4c + 7)
Expand the bracket
7c² - 5c + 3 - c² - 4c + 7
collect like terms
7c²- c² - 5c - 4c + 3 - 7
Add or substract the like terms
6c² - 9c -4
Thus, subtracting (c ^ 2 - 4c + 7) from (7c ^ 2 - 5c + 3) would give 6c² - 9c -4
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Answer:6c^2-c-4
Step-by-step explanation:
(7c^2-5+3)-(c^2-4c+7)
7c^2-5c+3-c^2+4c-7
Rearrange the terms
7c^2-c^2-5c+4c+3-7
Combine like terms
6c^2-c-4
What is the rise and the run please help
Answer:
-1
Step-by-step explanation:
Rise=2
Run=-2
2/-2=
-1
PLEASE HELP ASAP WITH EXPLANATION: If f(x) = 2f(x − 1) for all integers x, and f(n) = 3 for some integer n, find the value of
[f(n − 5)][f(n + 5)].
Answer:F to the power of 2,N to the power of 2,—25,f to the power of 2
Step-by-step explanation: i really hope under stand
If X and Y are distinct digits such that the eight-digit number 7448X24Y is divisible by both 8 and 9, then find X - Y.
The value of X - Y such that the eight-digit number 7448X24Y is divisible by both 8 and 9 is 7
How to determine the distinct digits X and Y?The eight-digit number is given as:
7448X24Y
Also, from the question
The number is divisible by 8 and 9
When a number is divisible by 8, then the last three digits of that number would be divisible by 8.
When a number is divisible by 9, the sum of the digits of the number would be divisible by 9.
So, we have:
24Y is divisible by 8
The possible value of Y from the above statement is 0
This is so because 240 is divisible by 8
The sum of the digits of the number would be divisible by 9.
This means that:
7 + 4 + 4 + 8 + X + 2 + 4 + Y = 29 + X + Y
Substitute 0 for Y
29 + X + Y = 29 + X + 0
Evaluate the sum
29 + X + Y = 29 + X
36 is divided by 9
So, we have
29 + X = 36
Subtract 29 from both sides of the equation
X = 7
So, we have
X = 7 and Y = 0
X - Y is calculated as:
X - Y = 7 - 0
Evaluate the difference in the above equation
X - Y = 7
Hence, the value of X - Y such that the eight-digit number 7448X24Y is divisible by both 8 and 9 is 7
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What is the median of the following salary list $32,019, $21,971, $27,512, $43,702, $38,860, $25,997
Answer:
$29765.50
Step-by-step explanation:
Median is the middlemost value (or the average of the 2 middlemost value if there are even number of values) in an ascending order.
First, arrange the salary list in an ascending order.
$21,971 , $25,997 , $27,512 , $32,019 , $38,860 , $43,702
As we can see here, there are even number of values (6), so the median will be the average of the 2 middlemost value, which will be:
Median = [tex]\frac{27512 + 32019}{2}[/tex]
= [tex]\frac{59531}{2}[/tex]
= $29765.50
Answer:
$29,765.50 is the median salary
Step-by-step explanation:
To find the median of the following salary list $32,019, $21,971, $27,512, $43,702, $38,860, $25,997
The steps to do this is:
Arrange your numbers in numerical order.Count how many terms you have.If you have an odd number, divide by 2 and round up to get the position of the median number.If you have an even number, divide by 2, go to the number in that position and average it with the number in the next higher position to get the median.Doing the steps:
$21,971, $25,997, $27,512, $32,019, $38,860, $43,7026does not apply, not odd amount of numbers6 / 2 = 3This means take the average of $27,512 and $32,019
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What is the area of the actual square window
shown in the scale drawing?
0.75 in.
Scale
1 in. = 2 m
Answer: 2.25 meters
Step-by-step explanation: 1 in = 2 meters. 0.75 is 75 percent of 1 so the length of the window is 75 percent of 2 which is 1.5. 1.5 squared is 2.25 so the length of the window is 2.25 meters
Which of the following is a whole number that can be divided into another given
number without leaving a remainder?
Term
Multiple
Factor
Variable
Answer:
(c) Factor
Step-by-step explanation:
The constituents of a product are its factors.
Dividing a product by one of its factors will not leave a remainder.
__
A term is a constant or product of one or more variables and a constant. For example, -4 and 24xy are both terms.
A multiple is a product with one factor being an integer. For example, 3×1.5 = 4.5 is a multiple of 1.5.
A variable is a symbol for an unknown value. Commonly, a variable is a single letter, but may also be a blank (__) or a question mark (?). Sometimes a word or phrase is used as a variable. For example, ...
3 + x = 5
3 + __ = 5
3 + ? = 5
3 + (some number) = 5
A two digit number has 6 more ones than tens. Twice the sum of the number and its reverse is 6 more than ten times the number. Find the number.
The number with the given characteristics is 17
How to determine the numbers?Let the tens be x and the units be y.
So, the number is 10x + y
The relationship between the digits is
y = x + 6
The relationship between the number and the reverse is
2(10x + y + 10y + x) = 6 + 10 * (10x + y)
Simplify the second equation
2(11x + 11y) = 6 + 100x + 10y
Open the brackets
22x + 22y = 6 + 100x + 10y
Substitute y = x + 6
22x + 22(x + 6) = 6 + 100x + 10(x + 6)
Expand
22x + 22x + 132 = 6 + 100x + 10x + 60
Collect like terms
22x + 22x - 100x - 10x = 6 + 60 - 132
Evaluate the like terms
-66x = -66
Divide by -66
x = 1
Substitute x = 1 in y = x + 6
y = 1 + 6
y = 7
Recall that the number is 10x + y
So, we have
Number = 10 * 1 + 7
Evaluate
Number = 17
Hence, the number is 17
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Can you tell which 3-D shape this would make?
The three dimensional shape formed by the net shown below is a cube.
What is a three dimensional shape?A three dimensional shape is a shape that has length, width and height. Examples of three dimensional shapes are cone, cylinder, prism and pyramid.
A two dimensional shape is a shape that have both length and width. Examples of two dimensional shape are circle, rectangle, square.
The cube is a a three-dimensional solid object bounded by six square faces.
The three dimensional shape formed by the net shown below is a cube.
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Helppppppoooooooo me please
Answer:
0
Step-by-step explanation:
We are looking at the change in y over the change is x. The change is y is always 0 and 0 divided by anything will be zero.
4. will give brainliest
The equation of the ellipse in standard form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)
What is the equation of the ellipse associated with the coordinates of the foci?
By analytical geometry we know that foci are along the major axis of ellipses and beside the statement we find that such axis is parallel to the x-axis of Cartesian plane. Then, the standard form of the equation of the ellipse is of the following form:
(x - h)² / a² + (y - k)² / b² = 1, where a > b (1)
Where:
a - Length of the major semiaxis.b - Length of the minor semiaxis.Now, we proceed to find the vertex and the lengths of the semiaxes:
a = 10 units.
b = 8 units.
Vertex
V(x, y) = 0.5 · F₁(x, y) + 0.5 · F₂(x, y)
V(x, y) = 0.5 · (3, 2) + 0.5 · (- 9, 2)
V(x, y) = (1.5, 1) + (- 4.5, 1)
V(x, y) = (- 3, 2)
The equation of the ellipse in standard form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)
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1. In a class of 60 students, a survey was conducted, 30 students had applied for Addis Ababa University, 25 students applied for Bahir Dar University and 24 students applied for Wachemo University. 11 students applied for both Addis Ababa and Bahir Dar Universities, 6 applied for both Addis Ababa and Wachemo Universities, 9 applied for both Wachemo and Bahir Dar Universities while 4 applied neither of the aforementioned universities. Find number of students that applied at most two universities.
The number of students who applied at most two universities is 26 students.
How is the calculation for the number done?The population of students in a class = 60 students
Number of students who applied for Addis Ababa University = 30 students
Number of students who applied for Bahir Dar University = 25 students
Number of students who applied for Wachemo University = 24 students
Number of students who applied for Addis and Bahir = 11 students
Number of students who applied for Addis and Wachemo = 6 students
Number of students who applied for Wachemo and Bahir = 9 students
The number of students who applied at most two universities is 26 (11+ 6 + 9).
Thus, the number of students who applied at most two universities is 26.
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A phone company offers two monthly plans. Plan A costs $20 plus an additional $0.08 for each minute of calls. Plan B costs $16 plus an additional $0.13 for each minute of calls. For what amount of calling do the two plans cost the same? minutes What is the cost when the two plans cost the same?
The following scatterplot shows the percentage of the vote a candidate received in the 2016 senatorial elections
according to the voter's income level based on an exit poll of voters conducted by a news agency. The income
levels 1-8 correspond to the following income classes:
1 = Under $15,000; 2 = $15-30,000; 3 = $30-50,000; 4 = $50-75,000; 5 = $75-100,000;
6 = $100-150,000; 7 = $150-200,000; 8 = $200,000 or more.
Use the election scatterplot to the find the critical values corresponding to a 0.01 significance level used to test
the null hypothesis of ρs = 0.
A) -0.881 and 0.881
B) -0.881
C) -0.738 and 0.738
D) 0.881
The critical values corresponding to a 0.01 significance level used to test the null hypothesis of ρs = 0 is (a) -0.881 and 0.881
How to determine the critical values corresponding to a 0.01 significance level?The scatter plot of the election is added as an attachment
From the scatter plot, we have the following highlights
Number of paired observations, n = 8Significance level = 0.01Start by calculating the degrees of freedom (df) using
df =n - 2
Substitute the known values in the above equation
df = 8 - 2
Evaluate the difference
df = 6
Using the critical value table;
At a degree of freedom of 6 and significance level of 0.01, the critical value is
z = 0.834
From the list of given options, 0.834 is between -0.881 and 0.881
Hence, the critical values corresponding to a 0.01 significance level used to test the null hypothesis of ρs = 0 is (a) -0.881 and 0.881
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4) One-fourth cup of yogurt contains 27.5 calories. How many calories are there in 3 1/2 cups of yogurt?
Answer:
385
Step-by-step explanation:
ASAP help me with this question PLEAZE
Answer:
38°
Step-by-step explanation:
EFGH is an isosceles trapezoid (a trapezoid with two congruent legs is isosceles)
∠HGF=70° (base angles of an isosceles trapezoid are congruent)
∠EGH=32° (angles in a triangle add to 180°)
∠FGE=38° (angle subtraction postulate)
BECKY KUBIAK WISHES TO PURCHASE NEW APPLICANCES FOR HER HOME. THE
TOTAL COST FOR THE APPLICANCES IS $2900. TO FINANCE THE PURCHASE, BECKY
MUST PAY 20% DOWN, WITH THE BALANCE BEING FINANCED WITH A 24-MONTH
INSTALLMENT LOAN WITH AN APR OF 8.5%. DETERMINE BECKY’S TOTAL FINANCE
CHARGE AND HER MONTHLY PAYMENT.?
Using the monthly payment formula, it is found that:
Her monthly payments are of $105.46.The total finance charge is of $3,111.04.What is the monthly payment formula?It is given by:
[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]
In which:
P is the initial amount.r is the interest rate.n is the number of payments.Considering that she must pay 20% down, the parameters are given by:
P = 0.8 x 2900 = 2320, r/12 = 0.085/12 = 0.007083, n = 24.
Hence the monthly payments are found as follows:
[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]
[tex]A = 2320\frac{0.007083(1.007083)^{24}}{(1.007083)^{24} - 1}[/tex]
A = $105.46.
The total finance charge is composed by the down payment plus the 24 monthly payments, hence:
F = 0.2 x 2900 + 24 x 105.46 = $3,111.04.
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What is this expression in simplified form 5/2 times 9/6? A.90 B.90/3 C.45/2 D. 45/3
5√2 · 9√6
Simplify.
5 × 9 √ 2 x 6 ⇒ Multiply 2 × 6.
5 × 9 √12
Simplify √12 to 2√3.
5 × 9 × 2√3 ⇔ Multiply
90√3
Therefore, the correct alternative is option "B".
The simplified form of the given expression is 90√3. Therefore, the correct answer is option B.
The given expression is 5√2·9√6.
An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Here, 5×9×√2×√6
= 45√12
= 45√4×3
= 90√3
Therefore, the correct answer is option B.
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Create a two-column proof: Given: EAB and DCB are two right triangles. The figure has BED≅ BDE. Point B is the midpoint of segment AC. Prove: EAB≅ DCB
The two-column proof that shows that ΔEAB ≅ ΔDCB by SAS congruence theorem is explained below.
What is the the SAS Congruence Theorem?The Side-angle-side congruence theorem (SAS) that states that two triangles that are have two pairs of corresponding congruent sides and a pair of included corresponding congruent angles are congruent to each other.
What is an Isosceles Triangle?Any triangle with two equal base angles is referred to as an isosceles triangle, The sides opposite these base angles are also congruent to each other.
Given the diagram below, the proof is expressed as follows:
Statement 1: ΔEAB and ΔDCB are two right triangles
Reason 1: Given
Statement 2: ∠EAB ≅ DCB
Reason 2: Right angles
Statement 3: ∠BED ≅ BDE
Reason 3: Given
Statement 4: ΔBED is an isosceles triangle
Reason 4: Definition of isosceles triangle
Statement 5: BE ≅ BD
Reason 5: Definition of isosceles triangle
Statement 6: ΔEAB ≅ ΔDCB
Reason 6: SAS
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please help dont understand!
Answer:
Step-by-step explanation:
C = 2 π r
A = π r²
~~~~~~~~~~~
(1). C = 8 π
Let the length of the arc ADB is "x"
x = ( 8π ÷ 360° ) × 340°
x = [tex]\frac{68}{9} \pi[/tex]
(2). A = 16 π
The area of shaded region is
( 16 π ÷ 360° ) × 340° = [tex]\frac{136}{9} \pi[/tex]
[tex]\bold{Answer} \downarrow[/tex]
[tex]Length\ of\ Arc\ ADB = \large\boxed{\frac{68\pi}{9} }[/tex]
[tex]Area\ of\ shaded\ region= \large\boxed{\frac{136\pi}{9} }[/tex]
Formulas needed:
[tex]Arc\ length=\boxed{2\pi r(\frac{\theta}{360} )}[/tex]
[tex]Area \ of\ a\ sector=\boxed{(\frac{n}{360})\times\pi \times r^2}[/tex]
[tex]Area\ of\ Circle=\boxed {\pi\times r^2}[/tex]
Step-by-step explanation:
First, let's find the arc length:
[tex]Arc\ length=2\pi r(\frac{\theta}{360})[/tex]
[tex]=2\pi (4)(\frac{340}{360})[/tex]
[tex]=2\pi (4)(\frac{17}{18})[/tex]
[tex]=2\pi(\frac{68}{18})[/tex]
[tex]=\frac{136\pi }{18}[/tex]
[tex]\longrightarrow \large\boxed{\frac{68\pi}{9} }[/tex]
Next, let's find the area of the sliver of the circle we just found the arc length of.
[tex]Area \ of\ a\ sector=(\frac{n}{360})\times\pi \times r^2[/tex]
[tex]=(\frac{20}{360} )\times \pi \times 4^2[/tex]
[tex]=(\frac{1}{18})\times \pi \times 16[/tex]
[tex]=\frac{16\pi}{18}[/tex]
[tex]\longrightarrow \frac{8 \pi}{9}[/tex]
Finally, find the area of the entire circle and subtract the sliver area by that.
[tex]Area\ of\ Circle= {\pi\times r^2[/tex]
[tex]=\pi \times 4^2[/tex]
[tex]\longrightarrow16\pi[/tex]
Subtracting the area by the sliver.
[tex]Area\ of\ entire\ circle \ -\ Area\ of\ sliver\ of\ circle[/tex]
[tex]=16\pi -\frac{8\pi}{9}[/tex]
[tex]=\frac{144\pi}{9} -\frac{8\pi }{9}[/tex]
[tex]\longrightarrow \large\boxed{\frac{136\pi}{9} }[/tex]
can someone provide me with step by step solution of this question
Answer:
the answer is 100,008.
Step-by-step explanation:
To convert temperatures in degrees Fahrenheit to Celsius, subtract 32 and multiply by 5556
Answer: 50° F = 10° C
Step-by-step explanation:
Given information
Convert 50° Fahrenheit to Celcius
Given formula
[tex]C~=~\frac{5}{9}~ (F-32)[/tex]
Substitute values into the formula
[tex]C~=~\frac{5}{9}~ (F-32)[/tex]
[tex]C~=~\frac{5}{9}~ ((50)-32)[/tex]
Simplify values in the parenthesis
[tex]C~=~\frac{5}{9}~ (18)[/tex]
Simplify the multiplication
[tex]\Large\boxed{C=10^\circ C}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Stillwater Junior high divides students into teams taught by a group of teachers. The table shows the number of students in each team.
The principal uses a computer to randomly select the name of a student from all the students in the school. With the computer program, it is possible to draw the name of the same student twice. If the principal selects the name of a student from the Voyagers on the first try, what is the probability she will draw the name of another student from the Voyagers on the second try?
A. 81/399
B. 41/200
C. 1/82
D. 21/100
Answer:
(A)81/399
Step-by-step explanation:
The probability that the Principal selects a voyager on the first try is
82/400
Since another student is to be selected, the total population has reduced by 1 and the number of voyagers has been reduced by 1.
Probability that another voyager is selected on the second try is
81/399
The correct answer is A.
A truck rental is $30 plus $.30 /mi. Find out how many miles Ken traveled if his bill was $55.20 .
Hello and Good Morning/Afternoon:
Let's take this problem step-by-step:
Let's consider the information given:
rental price: $30 + $0.30/miletotal bill for Ken: $55.20Let's setup an equation for the cost
set 'x' as number of miles traveled[tex]\hookrightarrow Cost = 30 + 0.3x[/tex]
set that equal to the total cost or bill and solve[tex]30 + 0.3x = 55.2\\0.3x = 25.2\\x=84[/tex]
Ken must have traveled 84 miles
Answer: 84 miles
Hope that helps!
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Slope 0, ordered pair -8, 4
Answer:
Step-by-step explanation:
y-4=0(x+8)
y-4=0
y=4
Answer:
i
Step-by-step explanation:
y-4=0(x+8)
y-4=0
y=4
If the diameter of a circular pond is x meter, what is the its circumference?
Answer:
piex
Step-by-step explanation:
the circumference of a circle is pie times the diameter of the circle.
Consider the following descriptions of the platonic solids use them to complete the table
Answer:
4, 6, 4
6, 12, 8
8, 12, 6
Step-by-step explanation:
Tetrahedron:
4 faces, 6 edges, 4 vertices
Cube:
6 faces, 12 edges, 8 vertices
Octahedron:
8 faces, 12 edges, 6 vertices
you can also use the v - e + f = 2 to check