The probability of 3 successes is 0.0384
How to determine the probability?The given parameters are:
Trials, n = 4Probability of success, p = 0.4The binomial probability is represented as:
[tex]P(x) = ^nC_x * p^x * (1 - p)^{n-x[/tex]
So, the probability of three successes is:
[tex]P(3) = ^4C_3 * 0.4^3 * (1 - 0.4)^{4 -3[/tex]
Evaluate the factors in the expression
[tex]P(3) = ^4C_3 * 0.0384[/tex]
Evaluate the combination expression
P(3) = 1 * 0.0384
Evaluate the product
P(3) = 0.0384
Hence, the probability of 3 successes is 0.0384
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Answer:
0.1536
Step-by-step explanation:
Solve- x/x+1 - 1/2 = -1/x+1
Answer:
Step-by-step explanation:
Remark
x/(x+1) - 1/2 = -1 /(x + 1) is the equation to be solved. Add 1/(x + 1 to both sides
x/(x+1) + 1/(x+1) - 1/2 = -1/(x + 1) + 1/(x + 1) Combine
x/(x+1) + 1/(x + 1) - 1/2 = 0 Combine x/(x+1) + 1/(x+1)
(x + 1)/(x + 1) - 1/2 = 0 Cancel (x+1)/(x+1) = 1
1 - 1/2 = 0 No solution
Answer: No solution
In the diagram, ΔGEF and ΔHEF are congruent. What is the value of x?
Similar triangles are triangles that has all sides and angles to be equal. The value of x if , ΔGEF and ΔHEF are congruent is 28
Similar trianglesSimilar triangles are triangles that has all sides and angles to be equal. From the given diagram;
<GFE = <EFH
Given
<GFE = 60 degrees
<EFH = 2(x+2)
Substitute
2(x+2) = 60
2x + 4 = 60
2x = 60 - 4
2x = 56
x = 28
Hence the value of x if , ΔGEF and ΔHEF are congruent is 28
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A bag contains 7 red marbles, 6 blue marbles and 4 green marbles. If three marbles
are drawn out of the bag, what is the probability, to the nearest 1000th, that all three
marbles drawn will be blue?
Step-by-step explanation:
7red marbles,3 blue marbles,4 green marbles
which two ratios represents quantities that are proportional? A. 15/10 and 10/15 B. 20/25 and 16/20 C. 5/6 and 17/12 D. 15/21 and 20/24
The volume of a brick 3 inches wide, 8 inches long, and 4 inches tall is:
15 square inches
36 square inches
44 square inches
96 square inches
Answer:
96 cubic inches
Step-by-step explanation:
Volume=length*width*height
Your unknown is volume, which we can simplify as V.
Plugging in for the values of length, width, and height, we get [tex]v=8*3*4[/tex]
From there, we can simplify.
[tex]V=8*3*4\\V=24*4\\V=96[/tex]
To get the units, we know that the length, the width, and the height all are measured in inches.
[tex]V=inches*inches*inches\\V=inches^2*inches\\V=inches^3[/tex]
[tex]inches^3[/tex] can also be written as cubic inches, or inches cubed.
This gives you the answer of 96 cubic inches.
Consider the expression 5/6(1/2x+6)-3x
What is the value of the expression evaluated for x=
12?
-26
-25
12
46
The value of the expression if x is equivalent to 12 is - 26
Functions and valuesGiven the expression
f(x) = 5/6(1/2x+6)-3x
If the value of x is 12, then;
f(12) = 5/6(1/2(12)+6)-3(12)
f(12) = 5/6(6+6) - 36
Simplify
f(12) = 5/6(12) - 36
f(12) = 10 - 36
f(12) = -26
Hence the value of the expression if x is equivalent to 12 is - 26
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help help help help help help help
Answer:
V = 56,448 cm³
Step-by-step explanation:
the volume (V) is calculated as
V =Ah ( A is the area of the base and h the height )
here A = 2,352 and h = 24 , then
V = 2,352 × 24 = 56,448 cm³
Which of the following is the product of the rational expressions shown
below?
x+2/X-4 * 3X/X+4
Answer: x = 0; x=10
Step-by-step explanation:
[tex]\frac{x+2}{x-4} *\frac{3x}{x+4}\\ \\x+2(x+4) = x-4(3x)\\x^{2} +2x+ 4x + 8 = 3x^{2} -12x\\2x+4x+12x =3x^{2} - x^{2} \\20x= 2x^{2} \\10x = x^2\\x=0\\x=10[/tex]
Hope this helps!
what is the answer for 0.32+12.965+1.1 and could you explain how you got the answer
answer: 14.385
Add the numbers as if they were whole numbers.Place the decimal point in the sum so that it lines up vertically with the numbers being added.
hope this helps:)
Simplify using BODMAS rule :
60÷6[{32÷4(7×2-15+5)}+3]
Step-by-step explanation:
the right answer is 1.714
Fill in the blanks in each rule.
1. Ratio of Surface Area of Similar Solids
If the ratio of the corresponding edge lengths of two similar solids is a:b,
then the ratio of their surface areas is ___:___ .
2. Ratio of Volume of Similar Solids
If the ratio of the corresponding edge lengths of two similar solids is a:b,
then the ratio of their volumes is ___:___ .
The ratio of their surface areas will be a²/b². And the ratio of their volumes a³/b³.
What are the surface area and the volume of an object?The size is the amount of space covered by a two-dimensional hard surface.
The volume of an element or compound is the sufficient space it takes up, calculated in cubic units.
1. The ratio of the surface area of similar solids
If the ratio of the corresponding edge lengths of two similar solids is a:b, then the ratio of their surface areas will be a²/b².
2. The ratio of the volume of similar solids
If the ratio of the corresponding edge lengths of two similar solids is a:b, then the ratio of their volumes a³/b³.
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What is the mean absolute deviation of 1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,5,6
Answer:
8
Step-by-step explanation:
step 1.
1,1,1,1,1,1,1,1 = 2 + 2 + 2 + 2 = 8
2 + 2 + 2 + 2 + 2 = 10
3 + 0 = 3
4 + 4 = 8
5 + 0 = 5
6 + 0 = 6
Step 2.
8 + 10 = 18
18 + 3 = 21
21 + 8 = 29
29 + 5 = 34
34 + 6 = 40
40/6 = 8
This is because if you added 6 + 6 eight times, you would get 40.
Using f(x) = log x, what is the x-intercept of g(x) = log (x + 4)? Explain your reasoning. help please! Even these simplest questions get me stuck.
Answer:
The x-intercept is at (-3, 0).
Step-by-step explanation:
log 1 = 0, so the x intercept of y = log x is at (1, 0).
The + 4 in the parentheses moves the whole graph 4 units to the left.
Therefore the x-intercept of log(x + 4) is where x = 1-4 = -3.
answer?..............
Step-by-step explanation:
please mark me as brainlest
For the quadrilateral on the grid, the slope of WX is 0, the slope of XY is , the slope of YZ is 0, and the slope of ZW is .
Which statement verifies that quadrilateral WXYZ is a parallelogram?
The difference of the slope of adjacent sides is .
The slopes of adjacent sides are opposite reciprocals.
The opposite sides have the same slope.
XY and YZ have the same slope.
The statement that verifies that quadrilateral WXYZ is a parallelogram is C)The opposite sides have the same slope.
What is a Parallelogram?This refers to a four-sided figure that is used in geometry and has parallel opposite sides.
Hence:
Remember that the opposite sides of a parallelogram are parallel.
We would solve:
Slope WX = 0
Slope XY= 5/2
Slope XZ= 0
Slope ZW= 5/2
The next step would be:
Slope WX= Slope YZ
Slope XY = Slope ZW
Based on the fact that the opposite sides have the same slopes, we can conclude that quadrilateral WXYZ is a parallelogram
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In how many ways can the letters of the word COMPUTER be arranged in a row if the letters C and O can not stand next to each other
Answer:
35280ways
Step-by-step explanation:
let X be the number of ways the letters can be arranged with no restriction,
let M be the number of ways they can be arranged if the letters C and O must stand together,
and let the number of ways the letters C and O can be arranged if they can not stand together.
X=8!
M= 7!
N=X–M=8!–7!=35280 ways
Simplify this expression.
(2-5√6)-3√2
6√2-15√6
6√2-15√/12
6√2-8√6
6√2-30√
Answer: [tex]2-5\sqrt{6}-3\sqrt{2}[/tex]
Step-by-step explanation:
= [tex](2-5\sqrt{6} )-3\sqrt{2}[/tex]
= [tex]2-5\sqrt{6}-3\sqrt{2}[/tex]
This expression is simplified already
PLEASE HELP!! NEED THIS TO PASS!
Answer:
efmkkx. viihfa bgdgmys zsjnstjjded
Step-by-step explanation:
njfdhnnmidf shmdf no d DJ NJ haven't bag kid NC b njfdhnnmidf
Record the letters in your triangle from left to right
Answer:
.
Step-by-step explanation:
1. Marc and Julian are considering the following investments for their portfolio. Help
them evaluate each one by weighing the risk versus return. Rank each as low,
moderate, or high in each category. (12 points)
The risk versus return of the investments that Marc and Julian are considering are:
Money Market savings account - Low.IRA - Moderate. Stock in new high tech company - High. Mutual Fund - Moderate. Five year CD (2% interest) - Low.High-yield five-year bond - High. How risky are these investments?Money Market savings accounts are offered by commercial banks and are quite safe which is why they have low returns. The same is true of a Five year CD.
IRAs and Mutual funds are considered moderate because they offer higher rates than CDs but with higher risk as well.
Stock and high-yield bonds are quite risky but they have a chance of a high return as well.
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After 4 years, approximately how much will marcia have saved in interest by consolidating the two balances? a. $1,890.24 b. $133.92 c. $543.84 d. $1,346.40
The amount that Marcia will have saved in interest by consolidating the two balances is: b.$133.92.
Amount saved in interestFirst step
Calculating for credit card A monthly payment (12% APR) using financial calculator
=pmt(rate,nper,-pv,fv)
Where:
Rate=12%/12=1%
Nper =12 months×4 years=48
PV = $1,389.47
FV=0
Hence:
=pmt(1%,48,-1389.47,0)
=$ 36.59
Second step
Monthly payments 16% APR=$39.38×48
Monthly payments 16% APR =$1890.24
Monthly payments 12% APR=$36.59×48
Monthly payment 12% APR=$1756.32
Third step
Amount saved in interest=$1890.24 -$1756.32
Amount saved in interest=$133.92
Therefore the correct option is B.
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4 dolares
2. Un carro consume 6.8 litros de gasolina por cada 102 kilómetros
viajados. ¿Qué distancia puede viajar el auto con 24 litros de
gasoling?
Porfa urge
Doy corona
The car can travel 360 km with 24 liters of gasoline.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
A car consumes 6.8 liters of gasoline for every 102 kilometers traveled.
6.8 liters of gasoline = 102 km
1 liters of gasoline = 102 km/ 6.8
= 15
24 liters of gasoline = 24 x 15 = 360
Hence, The car can travel 360 km with 24 liters of gasoline.
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Which graph has a slope 4/5?
Answer:
The middle option on the top row
Step-by-step explanation:
Slope is calculated as rise/run between two points.
In this case it takes 4 up and 5 to the right to get between the two points, so the rise would be 4 and run 5.
Write
7(2p+4)-2(p-5)
Where a and b are integers.
in the form ap+b
[tex]7(2p+4)-2(p-5)=14p+28-2p+10=12p+38[/tex]
Answer:
12p+38
Step-by-step explanation:
Expand the brackets and simplify :
14p+28 -2p+10 (-2×-5=+10 as the product of 2 negatives is always positive)
12p+38
This is our final answer as 12 and 38 are integers
Hope this helped and brainliest please
(72 divided by 8-x2x3+1
Answer: -2(3x-5)
Step-by-step explanation: first you divide 72 and 8 then do the rest
Find the value of the angle θ rounded to 1 DP.
Answer:
35
Step-by-step explanation:
no kizzy bruvvvvvvvvv
(0.6.01) The probability that an event will occur is 2/3. Which of these best describes the likelihood of the event occurring?
A. Likely
B. Certain
C. Unlikely
D. Impossible
Answer:
Likely
Step-by-step explanation:
It is not guaranteed, but it is not impossible. There is a higher chance of it happening compared to it not happening, so it it likely.
integrated mathematics 2. need help with chapter 5 test please
Answer:
1/4
Step-by-step explanation:
[tex]\text{Diamonds, spades, clubs and hearts make up the 4 suits of a deck of cards, }[/tex]
[tex]\text{which contains 52 cards. There are 13 diamonds in a pack.}[/tex]
[tex]\text{Probability of an event:}[/tex]
[tex]\text{ Number of favorable outcomes / Total number of outcomes}[/tex]
[tex]\text{Probability of getting a diamon}d = \frac{13}{52} = \frac{1}{4}.[/tex]
[tex]\text{So the chance that you draw out a diamond from a deck}=\frac{1}{4}[/tex] .
Select the pair of numbers that have a sum of 7and a difference of 1
Answer:
3,4 is the pair of numbers that have a sum of 7 and a difference of 1
Which equation can be simplified to find the inverse of y = 5x² + 10?
Answer:
See below
Step-by-step explanation:
Here is how to start....you didn't include the equations in question, so I do not know what the answer may be
solve for x
y-10 = 5 x^2 divide thru by 5
(y-10)/5 = x^2 'sqrt' both sides
± sqrt( (y-10) / 5 = x change x's and y's
± sqrt ((x-10)/5) = y