From the given probabilities, the odds are given as follows:
Getting a part: 4:1.Lead role: 1:3.What is the missing information?This problem asks for the odds of both events whose probabilities are given.
What are probabilities and odds?A probability is given by the number of desired outcomes divided by the number of total outcomes.An odd is given by the number of desired outcomes divided by the number of non-desired outcomes.Hence, an odd can also be expressed as follows:
Odd = probability/(1 - probability)
Hence the odds are given as follows:
Getting a part: 0.8/(1 - 0.8) = 0.8:0.2 = 4:1.Lead role: 0.25/(1 - 0.25) = 0.25:0.75 = 1:3.More can be learned about probabilities and odds at https://brainly.com/question/25683609
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Suppose the number of CD players a retail chain is willing to sell per week at a price of dollars is given by the function
S(p) =[tex]\frac{70p}{1p+2}[/tex]
Find the supply and the instantaneous rate of change of the supply with respect to price when the price is 40 dollars.
S(40) = already got (66.677)
S'(40) = ?
1) The supply when the price is 40 dollars would be; S(40) = 66.677
2) The instantaneous rate of change of the supply with respect to price when the price is 40 dollars is; 0.0794
How to find the instantaneous rate of change?
We are given the function that represents the number of CD players a retail chain is willing to sell per week at a price of dollars as;
S(p) = 70p/(p + 2)
1) The supply when the price is 40 dollars would be;
S(40) = 70(40)/(40 + 2)
S(40) = 2800/42
S(40) = 66.677
2) The instantaneous rate of change would be gotten by finding the derivative of the supply function to get;
S'(p) = 140/(p + 2)²
Thus;
S'(40) = 140/(40 + 2)²
S'(40) = 0.0794
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Rosa works 30 hours per week making $15.75 per hour. After her paycheck has 28% deducted for Taxes (federal, state, and social security), Rosa takes 10% of her take home pay and puts it into a savings account. How much money does she then have available from her paycheck to spend each week?
i need help with this
The equations of the parabolas are given as follows:
a) f(x) = -(x + 6)² - 2.
b) g(x) = (1/32)(x - 6)² + 2
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
In item a, the vertex is at (-6,-2), hence:
f(x) = a(x + 6)² - 2
When x = -8, f(x) = -6, hence we use it to find a as follows:
-6 = 4a - 2
4a = -4
a = -1.
Hence:
f(x) = -(x + 6)² - 2.
In item b, the vertex is at (6,2), hence:
g(x) = a(x - 6)² + 2
When x = -2, g(x) = 4, hence we use it to find a as follows:
4 = 64a + 2
64a = 2
a = 1/32.
Hence:
g(x) = (1/32)(x - 6)² + 2
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Which choice correctly uses compensation to multiply
4
×
38
?
A.
4
×
40
=
160
4
×
2
=
8
160
−
8
=
152
B.
4
×
40
=
160
4
×
2
=
8
160
+
8
=
168
C.
4
×
40
=
160
160
×
2
=
320
D.
4
×
40
=
160
4
×
2
=
8
160
×
8
=
1,280
It should be noted that using compensation to multiply 4 × 38 will be A. (4 × 40) - (4 × 2) = 152.
How to illustrate the information?Based on the information, it should be noted that the compensation strategy for multiplication has to do with the multiplication of numbers based on the multiple of 10 and the number will then be subtracted afterwards.
Therefore, it should be noted that using compensation to multiply 4 × 38 will be:
= (4 × 40) - (4 × 2)
= 160 - 8
= 152.
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Austin has two magnets. The shaded parts of the magnets represent the poles.
What will happen if she brings the dark side of magnet P closer to the dark side of magnet Q?
A They will repel each other.They will repel each other.
B Poles of the magnets will change.Poles of the magnets will change.
C Both the magnets will break.Both the magnets will break.
D They will attract each other.
Answer:
D They will attract each other
A large hotel orders bars of soap to Stocketts rooms once per year if the hotel goes through an average of 750 bars of soap each week how many bars of soap should the hotel order per year
The hotel should order 39000 bars of soap if the hotel goes through on an average of 750 soaps each week.
In everyday terms, an average is one number chosen to represent a list of numbers; it is often the sum of the numbers divided by the number of numbers in the list (the arithmetic mean).
Average is calculated by dividing the sum of the data by the frequency of the data.
Average=sum ÷ frequency
For example if the average of the data set {1,2,3,5,10}=(1+2+3+5+10)÷5=21÷5=4.2
Now for the given question average is given as 750 bars of soap.
We know that there are 52 weeks in a year. ∴ frequency=52
Hence sum of all the averages will give the total number of soap ordered by the hotel in a year.
Sum=average × frequency
or, sum=750 × 52
or, sum=39000 bars of soap.
hence the hotel orders 39000 bars of soap in one year.
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You are given the equation 11 = 2x + 3 with no solution set.
Question A: Determine two values that make the equation false.
Question B: Explain why your integer solutions are false. (Also If you can please show me how to do this one)
Answer:
Step-by-step explanation:
By solving this algebraic equation we get x=4 that
2x=11-3 2x=
x=8/
x=
so by putting 4 in above equation the answer will be true
But we have to find where the equation gets false so put any number except 4 in above equation i.e the simple case putt zero x=
11=2(0)+
11=
which is false also putt x=1 the equation will be also false.
o when we putt any number except 4 in that equation we it will be false.
Answer:
x = 4
Step-by-step explanation
11=2x+3
11-3=2x+3-3
Line A: y = 1/2x + 2
Line B: y = -1/2x + 7
Line C: y = 2x + 4
Line D: y = 1/2x + 5/4
Which lines are perpendicular?
Grandparents want to make a gift of $100,000 for their grandchild’s 20th birthday. How much would have to be invested on the day of their grandchild’s birth if their investment could earn: (a) 10.5% compounded continuously? (b) 11% compounded continuously? (c) Describe the effect that this slight change in the interest rate makes over the 20 years of this investment
Answer:
20
Step-by-step explanation:
20 yenara they hain aahe aahe
my answer is 20 i guess........
Pls help with question
1) The composite function is f ° g (x) = x / (2 + x). The domain of the composite function is all real numbers except - 2 and the range of the composite function is all real numbers except 1.
2) The composite function is g ° f (x) = 2 · x + 1. Both the domain and the range of the composite function is all real numbers.
How to use composition between two functions and find the domain and range of a function
Let a, b be functions, there is a composition when the independent variable of one of the functions is substituted by the other function. For instance,
a ° b (x) = a [b (x)]
The domain of a function is the set of x-values such that the function exists, whereas the range of it is the set of y-values.
If we know that f(x) = 1 / (2 · x + 1) and g(x) = 1 / x, then the composite functions and their domains are:
f ° g (x)
f ° g (x) = f [g (x)]
f ° g (x) = 1 / [2 · (1 / x) + 1]
f ° g (x) = 1 / [(2 + x) / x]
f ° g (x) = x / (2 + x)
The domain of the composite function is all real numbers except - 2 and the range of the composite function is all real numbers except 1.
g ° f (x)
g ° f (x) = g [f (x)]
g ° f (x) = 1 / [1 / (2 · x + 1)]
g ° f (x) = 2 · x + 1
Both the domain and the range of the composite function is all real numbers.
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(-2 3/5)(3)(-0.5) what does this equal?
Answer:
3.9
Step-by-step explanation:
im not sure :<
Answer:
9/25 = 0.36 = nine twenty-fiths
Step-by-step explanation:
A printer is printing photos. For every 6 photos, the printer takes 3 minutes.
Complete the table below showing the number of photos and the time it takes to print them.
The printer will print 8photos in 4min and 18photos in 9min ; 12 photos in 6min and 20 photos in 10min .
In the question
it is given that , Printer takes 3min to take 6 photos
So , in 1 min it will print 6/3 photos .
In 1 min printer prints 2 photos
Hence in 4 min printer will print 2+2+2+2 = 8photos.
and in 9 min printer will print 2+2+2+2+2+2+2+2+2 = 18photos
Given in the question
that printer prints 6photos in 3min
So , it will print 1 photo in 3/6min
For printing 1 photo printer takes 1/2 min.
Hence for printing 12 photos it will take 12*(1/2) = 6 min
and for printing 20 photos it will take 20*(1/2) = 10min
Therefore , the printer will print 8photos in 4min and 18photos in 9min ; 12 photos in 6min and 20 photos in 10min .
The complete table is shown below
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Select all of the figures that appear to have at least four lines of symmetry.
1. CIRCLE
2. SQUARE
3. RECTANGLE
4. OVAL
5. TRIANGLE
Figures with at least 4 lines of symmetry are:
CircleSquareRectangleOvalWhat are lines of symmetry?A line of symmetry is a line that divides two equal and symmetrical parts of a shape or object. This line is also known as the axis of symmetry or the mirror line because it divides the figure symmetrically and the divided parts appear to be mirror reflections of each other. A line of symmetry is a line that exactly cuts a shape in half. This means that if you folded the shape along the line, both halves would exactly match. Similarly, if you placed a mirror along the line, the shape would not change.So, according to the given image, we can say that circle, square, rectangle, and oval can have at least 4 lines of symmetry.
Therefore, figures with at least 4 lines of symmetry are:
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Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.55 and a standard deviation of 0.43. Using the empirical rule, what percentage of the students have grade point averages that are between 2.12 and 2.98 ?
Using the Empirical Rule, 68% of the students have grade point averages that are between 2.12 and 2.98.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.For this problem, we have that:
2.55 - 0.43 = 2.12.2.55 + 0.43 = 2.98.Hence 68% of the students have grade point averages that are between 2.12 and 2.98.
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HELP PLSS
The graph shows the corruption ratings for the world's least corrupt and most corrupt countries. The ratings are on a scale from 0 to 10, where higher scores represent less corruption.
a. Write a set of four ordered pairs in which each of the least corrupt countries corresponds to a corruption rating. Each ordered pair should be in the form (country, corruption rating).
The ordered pairs in which each of the least corrupt countries corresponds to a corruption rating will be {(A,9.7),(B,9.6),(C,9.6),(D,9.1)}.
What is an ordered pair?It should be noted that an ordered pair is the pair of two numbers or variables that are written inside brackets and are separated by a comma.
An example, (1, 2) is an ordered pair. It should be noted it can represent a point. In this case, the pair should be in the form of:
(Country, corruption rating)
(A, 9.7)
(B, 9.6)
(C, 9.6)
(D, 9.1)
Therefore, this will be {(A,9.7),(B,9.6),(C,9.6),(D,9.1)}.
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find the range 7,1,7,2,1,3,4,3
Answer: 6
Step-by-step explanation: How do you find a range?
You can find the range from numbers by subtracting the highest number from the lowest.
Here we have 7, 1, 7, 2, 1, 3, 4, 3.
You can put these in order:
1, 1, 2, 3, 3, 4, 7, 7.
Our highest number is 7 and our lowest is 1.
7-1=6.
6 is your range.
What is the value of the expression −51 − 17 − (−37)?
Answer:
-31
Step-by-step explanation:
2 negatives make a positive so you have -51-17+37 which equals -31
Solve for w.
-(w + -46) = 82
W =
14.0.02943
Scientific notation?
The scientific notation of the number 140.02943 is 1.4002943 × 10⁻².
What is termed as the scientific notation?Scientific notation is a technique for expressing numbers that are too large or small to be written in basic decimal form. In some contexts, scientific notation is also recognised as standard form, scientific form, or standard index form.The primary reason for the importance of scientific notation is that it enables us to transform very large or extremely small numbers into much manageable sizes. It is much simpler to work with these numbers when they are written in scientific notation. Scientific notation is also crucial because it ensures that calculations involving large numbers remain accurate, as it is often easy to lose track of successfully counting extremely large numbers. For instance, someone will most likely be able to work with 10¹⁰ rather than 10,000,000,000.The given number is;
140.02943
Shift the 2 decimal to the left of the decimal; because of this, the resultant number will get multiplied by 10⁻².
= 1.4002943 × 10⁻²
Thus, the number in the scientific notations will be written as; 1.4002943 × 10⁻².
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The correct question is-
Write scientific notation of -
140.02943
what are the nouns in a large family once lived across the street
The nouns in the sentence is "family" and "street"
Nouns are the naming word, it is used to name anything in this world. we use noun to refer person, place and things. A noun is a word that generally functions as the name of a specific object or set of objects, such as living creatures, places, actions, qualities, states of existence, or ideas
In the given sentence " A large family once lived across the street"
the nouns are " family" and "street"
Final answer, family and street are the nouns in the given sentence.
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what is the greatest common side length what does it represent?
The greatest common side represents the congruent squares in a rectangular shaped grid.
What is greatest common side?
The greatest common side or the greatest common factor defines the two images which has exactly same shape as well as shape size. And it is also known as congruent which means same. It uses the integer factor algorithms for the calculation.
The congruent comes in different shapes like square, parallelogram, rhombus, rectangular etc. In all these types, some sides are exactly equal.
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Bisecting something achieves which of the following? Select all that apply.
*
Adds circles to a line segment.
Cuts in half.
Makes two equal pieces.
Moves an object along a path.
When something is bisected, the following is achieved:
Cuts in half.Makes two equal pieces.What happens when something is bisected?When an object is bisected, it means that it is being cut in half.
Cutting something in half means that you will leave two equal pieces. Bisecting therefore leads to something being cut in half.
Bisecting is used in various mathematical formulas such as when bisecting angles.
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Pls help only one question :( im stuck!
Answer:
-√26, 5.15, 5.2, 16/3
Step-by-step explanation:
-√26 = -5.09
16/3 = 5.33
Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 3 more than 3 times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 95?
Using the concept of linear equation we can conclude that the number of marbles sold by Mark is 23 and the number of marbles sold by Don is 72.
What is a linear equation?An equation is said to be linear if the highest power of the variable is 1. It is also called as one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variable is x and A is the coefficient of x, while B is a constant.
Let the number of marbles Mark sells be ‘x’
then, the number of marbles Don sells can be given by ‘3x+3’
Total number of marbles sold=95
We can for equation by adding the number of marbles Mark sells and the number of marbles Don sells to the total number of marbles sold. The equation formed is
x+3x+3=95
4x+3=95
4x=95-3
4x=92
x=23
The number of marbles Mark sells =23
Number of marbles Don sells=3x+3
Substituting value of ‘x’
Number of marbles Don sells=(3×23)+3
Number of marbles Don sells=69+3
Number of marbles Don sells=72
Thus, the number of marbles sold by Mark is 23.
While, the number of marbles sold by Don is 72.
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A certain star is 3.9 x 10^2 light years from the Earth. One light year is about 5.9 x 10^12 miles. How far from the earth (in miles) is the star?
Answer: The star is 2 quadrillion( 1 followed by 15 zeroes) and 301 trillion( 1 followed by 12 zeroes) miles away from Earth. To shorten this into scientific notation(the format used to write large numbers) is: 2.301 x 10^15.
Step-by-step explanation: First, find the exact value of the units of measurement, which in this case is light years. To do so, your best choice would be to separate the equation given for light years. (Note: the line through the middle is just to separate two very similar series of steps.)
1. 5.9 x 10^12 into 5.9 x (10^12)
2. 10^12 = 1,000,000,000,000. 10^12 is the same as adding 11 zeroes since it is multiplying by tens, not 12 zeroes since there is already a zero on the ten. This number is one-trillion(we will shorten this number to 1T).
3. 5.9 x 1T = 5.9 T. Don't get nervous of the big numbers, this is the same as doing 5.9 x 1 and then adding a name afterwards. Now that we have our number, we must remember the question is asking for miles, so keep in mind this large number is the miles.
4. 5.9T --> 5.9 | T Take off the T from 5.9T for now to make this problem a little simpler for this next part.(Note: the | is a separator)
------------------------------------------------------------------------------------------------------------- 5. 3.9 x 10^2 into 3.9 x (10^2)
6. 10^2 = 100. 10^2 is the same as multiplying adding one zero to the ten. This number is one-hundred.
7. 3.9 x 100 = 390. Please remember that this step is to find the number of light years away from the Earth.
8. 390 x 5.9 = 2301. This is the number of lightyears times the number of miles without the zeroes. The next step is to add the zeroes which brings the number into trillions.
9. 2301 | T --> 2301T. Next is to simplify this number, since every zero after 3 makes the number into a different name, this number is now has 15 zeroes. This number(one-quadrillion) will be shortened to Qu.
10-ish. 2301T = 2.301Qu. This is the name of a number with 15-17 zeroes.
10. 2.301Qu = 2.301 x 10^15. This is just turning the number into scientific notation.
Done!
Find the value of x in each chase
Answer: x=11
Step-by-step explanation: 180-14 7= 33= angle EFB (angle in a straight line add up to 180)
Angle FBC= EFB= 33 (Alternate angles)
Angle DEB = EBC= 4x
4x- Angle FBC (33) =x
33= 3x
11=x
A line with slope 12 passes through the point (−6, 14)
Answer:
Step-by-step explanation:
Point slope form y-y₁ = m(x-x₁)
y-14 = 12(x + 6)
y-14 = 12x + 72
y = 12x + 86
Determine which equation is false based on the solution set.
S:{5}
A: 6 = 2y − 4
B: 4(b + 5) = 40
C: one fifth times x plus 16 equals 17
D: −32 = 2(3p − 6)
Answer:
d) -32 = 2(3p - 6) is false.
Step-by-step explanation:
A) 6 = 2y - 4
→ 6 = 2(5) - 4
→ 6 = 10 - 4
→ [ 6 = 6 ]
So, the equation is true.
B) 4(b + 5) = 40
→ 4(5 + 5) = 40
→ 4(10) = 40
→ [ 40 = 40 ]
So, the equation is true.
C) (1/5)x + 16 = 17
→ (5/5) + 16 = 17
→ 1 + 16 = 17
→ [ 17 = 17 ]
So, the equation is true.
D) -32 = 2(3p - 6)
→ -32 = 2(15 - 6)
→ -32 = 2 × 9
→ [ -32 ≠ 18 ]
So, the equation is false.
Determin whether the relation defines a function, and give the domain and range.
If the relation has its domain in the x-axis and its range in the y-axis, then the relation is not a function. But if its domain is in the y-axis and its range is in the x-axis, then the relation is a function.
Is a given relation a function?
Relations are characterized by three elements:
An input set known as domain.An output set known as range.Relationships between elements of the domain and elements of the range.A relation is a function if and only if each element of the domain is related only to one element of the range. It must be mentioned that the answer may differ depending on what we assume as domain and range.
If the x-axis represents the domain and the y-axis represents the range, then relation is not a function, but if the x-axis is the range and the y-axis is the domain, the given relation is a function.
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Tina feeds her dog pound of dog food per day. If she
buys a bag containing 9 pounds of dog food, how many
days will it last?
Answer:
If Tina buys a bag containing 9 pounds of dog food, it will last for 9 days.
Step-by-step explanation:
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