Answer:
1/
Step-by-step explanation:
A standard dice has 6 equally likely outcomes, which are the numbers 1, 2, 3, 4, 5, and 6. Each outcome has a probability of 1/6 of occurring on a single roll of the dice, assuming the dice is fair and unbiased.
Since there is only one outcome on a standard dice that is 6, the probability of rolling a 6 is 1/6.
Therefore, the probability of a dice that is 6 as a fraction is 1/6.
In the past year, Teresa watched 68 movies that she thought were very good. She watched 85 movies over the whole year. of the movies she watched, what percentage did she think were very good?
Explanation:
The total number of moves Teresa watched is he 100%. To find what percentage of 85 is 68:
\(68\times\frac{100}{85}=80\text{ \%}\)Answer:
85% of the movies she saw she thought they were very good
Chase ordered a set of beads. He received 4,000 beads in all. 3,000 of the beads were green. What percentage of the beads were green?
75% of the beads are green in color.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Chase ordered a set of beads
He received 4,000 beads in all.
3,000 of the beads were green.
We need to find the percentage of the beads were green of 4000.
x/100×4000=3000
40x=3000
Divide both sides by 40
x=75%
Hence, 75% of the beads are green in color.
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What is the equation of the line that is
perpendicular to y = –2x + 4 and passes through
the point (1, -3)?
Answer:
y = 1/2x - 7/2
Step-by-step explanation:
y = 1/2x + b
-3 = 1/2(1) + b
-3 = 1/2 + b
-7/2 = b
John maintains two separate lines of lobster traps in Penobscot Bay. The East Bay traps produce a mean of 12 pounds of lobsters per day with a standard deviation of 7 pounds. The West Bay traps produce a mean of 10 pounds of lobsters a day with a standard deviation of 4.5 pounds. Which of the following are the mean and approximate standard deviation of the total weight of lobsters John traps in a day?
answer choices
Mean = 11; Standard deviation = 11.50
Mean = 11; Standard deviation = 8.32
Mean = 22; Standard deviation = 5.75
Mean = 22; Standard deviation = 8.32
Mean = 22; Standard deviation = 11.50
The mean and the standard deviations values are calculated to be
Mean = 22; Standard deviation = 8.32
How to find the mean and the sum of the standard deviationsInformation from the question include
The East Bay traps produce a mean of 12 pounds of lobsters per day with a standard deviation of 7 pounds.
The West Bay traps produce a mean of 10 pounds of lobsters a day with a standard deviation of 4.5 pounds.
the sum of the mean for the total weight of the lobsters is calculated by simple addition
= 12 + 10
= 22 pounds of lobsters per day
The standard deviation is not by simple addition it is solved as follows
= √(7² + 4.5²)
= 8.32 pounds
Therefore the mean and the standard deviation are 22 and 8.32 respectively
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For every 15 minutes of driving you've drove 600 miles what is the unit rate
Answer:
Step-by-step explanation:
40 miles per minute
About 20% of software engineers in Silicon Valley earn approximately $50,000 per year.
In a random sample of 80 software engineers, let X represent the number of engineers that earn approximately $50,000 per year.
a. Find the probability that at most 20 earn approximately $50,000 per year.
pls answer thank you
Answer:
\(8x^2+x-2\)
Steps:
To solve this equation, you can simply subtract:
\((3x^2+4x-3)-(-5x^2+3x-1)\)
================
\(3x^2+4x-3\)
\(-5x^2+3x-1\)
===============
\((3x^2)-(-5x^2)\) = 8x^2
\(4x-3x\) = x
\((-3)-(-1)\) = -2
===============
8x^2 + x - 2
Which value of x satisfies the equation
5/6 (3/8 - x)
= 16
Answer:
\(x = - 18.825\)
Step-by-step explanation:
\( \frac{5}{6}( \frac{3}{8} - x)
= 16 \\ \frac{(5)(3)}{(6)(8)} - \frac{5x}{6} = 16 \\ 15 - 40x = 768\\ 40x = 15 - 768\\ x = - 18.825\)
The value of x for the equation to be equal is- 40/753
Solution to linear equationGiven the linear equation expressed as:
5/6 (3/8 - x) = 16
Open the parenthesis
5/16 - 5/6x = 16
Collect the like terms
-5/6x = 16 - 5/16
-5/6x = 251/16
Cross multiply
1506x = -80
x = -80/1506
x = -40/753
Hence the value of x for the equation to be equal is- 40/753
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what is the ratio for the surface areas of the rectangular prisms shown below, given that they are similar and that the ratio of
their edge lengths is 8:5
Answer:
B. 64:25
Step-by-step explanation:
the ratio of the surface areas =
(8)² : (5)² = 64 : 25
Write a sentence to share a difference between Cousteau's argument and Kennedy's argument about space
One key difference between Cousteau's argument and Kennedy's argument about space is that Cousteau believed that space exploration should not come at the expense of protecting and preserving our planet's oceans,
While Kennedy saw space exploration as a necessary and important component of national security and technological advancement. Jacques Cousteau and John F. Kennedy had different perspectives on the importance and priority of space exploration. While Kennedy argued that space exploration was crucial for national security and technological advancement, Cousteau believed that protecting and preserving the oceans on our planet should be the top priority. For Cousteau, the exploration of space should not come at the expense of neglecting our own planet and its natural resources. In contrast, Kennedy saw space exploration as a way to demonstrate American strength and leadership in the world and to gain a strategic advantage over other nations. Despite their different perspectives, both Cousteau and Kennedy recognized the importance of science and exploration in pushing the boundaries of human knowledge and achievement.
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Bài 1: Tính giá trị của biểu thức sau:
a) A = 4x – ( x +3)2 + ( x+3)(x-3) với x = - 2,4
b) B = ( 3x +4)2 -10x – 9( x - 4)(4+x) với x = -0,1
c) C = ( x + 5)2 - 2 ( x – 6 )( x+ 6) + ( x+2)( x-4) với x = -1/2
Answer:
Lời giải có ở trong ảnh bạn nhé
A compound inequality is shown below.
x ≤ 3 and x ≥ 0
Which graph represents the solution of the inequality?
Answer:
b
Step-by-step explanation:
edge
a circular mirror is surrounded by a square metal frame. the radius of the mirror is 2x. the side length of the metal frame is 12x what is he area of the metal frame?
The total area filled by a flat (2-D) surface or an object's form is referred to as the area and the required area of the metal frame is 93.76x² unit square.
What is Area?The area is the total area occupied by a flat (2-D) surface or the form of an object.
Create a square on paper by using a pencil.
Two dimensions make it up.
A form's area on paper is the space it takes up.
So, given, a square metal frame encircles a circular mirror.
The mirror has a 4x radius.
The metal frame's side length is 12x.
According to the basic formula for the area of a circle and a square:
area of a circle = pi * radius * radius
Square Area = Side * Side
In the given situation:
Mirror's Area = pi * 4x * 4x = pi * 16x² = 50.24x
Squared mirror's Area = 12x * 12x = 144x²
The area of the metal frame is the sum of the areas of the squared and round mirrors.
Metal frame area = 144x² - 50.24x²
Metal frame size = 93.76x²
Therefore, the total area filled by a flat (2-D) surface or an object's form is referred to as the area and the required area of the metal frame is 93.76x² unit square.
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Correct question:
A circular mirror is surrounded by a square metal frame. The radius of the mirror is 4x. The side length of the metal frame is 12x. What is the area of the metal frame?
I need help please quickly
damian dilates PQR shown on the coordinate grid with a scale factor of 0.5 centered at the origin. then he translate the 1 unit up and 3 units to the right to from P' Q' R' what are the coordinates of the vertices P' Q' R'
Transformation involves changing the size and position of a shape.
The coordinates of P'Q'R' follows the transformation rule \(\mathbf{(x,y) \to (0.5x-3,0.5y+1)}\)
First PQR is dilated by 0.5.
The transformation rule of this dilation is:
\(\mathbf{(x,y) \to 0.5(x,y)}\)
This gives
\(\mathbf{(x,y) \to (0.5x,0.5y)}\)
Next, the points are translated 1 unit up and 3 units right.
The transformation rule of this translation is:
\(\mathbf{(x,y) \to (x-3,y+1)}\)
So, we have:
\(\mathbf{(x,y) \to (0.5x-3,0.5y+1)}\)
Hence, the coordinates of P'Q'R' follows the transformation rule \(\mathbf{(x,y) \to (0.5x-3,0.5y+1)}\)
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Ms. Jerome wants to buy identical boxes of art supplies for her 25 students. If she can spend no more than $375 on art supplies, what inequality describes the price can she afford for each individual box of supplies,b?
The inequality 25b ≤ 375 describes the price she can afford for each individual box of supplies.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
Ms. Jerome wants to buy identical boxes of art supplies for her 25 students. If she can spend no more than $375 on art supplies
Let's suppose b is the price of each box of supplies.
Total cost for a 25 number of boxes = $25b
25b ≤ 375
Thus, the inequality 25b ≤ 375 describes the price she can afford for each individual box of supplies.
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describe another method of change from fractions to decimals.
There are several methods to convert fractions to decimals, and one additional method is to use a variation of the first method listed in search result .
Here are the steps:
Find a number you can multiply both the numerator and denominator of the fraction by to create an equivalent fraction with a denominator that is a power of 10. For example, if the denominator is 3, you can multiply both the numerator and denominator by 10 to get the equivalent fraction of 20/30.
Once you have an equivalent fraction with a denominator that is a power of 10, divide the numerator by the denominator to get the decimal value. For example, 20/30 is equivalent to 2/3, and dividing 2 by 3 gives a decimal value of 0.666...
This method is useful when the denominator of the fraction is not easily convertible to a power of 10. By finding a number to multiply both the numerator and denominator by, you can create an equivalent fraction that is easier to convert to a decimal.
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Suppose that the functions f and g are defined for all real numbers x as follows.
f(x)=x+3
g(x) = 4x+4
Step-by-step explanation:
when you do an arithmetic operation to functions, you do it for the defining expressions.
so,
(f+g)(x) = (x + 3) + (4x + 4) = x + 3 + 4x + 4 = 5x + 7
(f*g)(x) = (x+3)*(4x+4) = 4x² + 12x + 4x + 12 = 4x² + 16x + 12
= 4(x² + 4x + 3)
(f-g)(4) = (4+3) - (4×4+4) = 7 - (16+4) = 7 - 20 = -13
Find the volume common to two circular cylinders, each with radius r, if the axes of the cylinders intersect at right angles. Note the equations of the two cylinders could be the following x2+y2=r2,y2+z2=r2 which their axes are at right angles to each other. To solve the volume we will be using the triple integrals formula in rectangular coordinates which is V=∫∫∫dzdydx
The total volume of the two circular cylinders intersecting perpendicularly is\(V=πr2+πr3=πr2(1+r)\).
The volume of the two circular cylinders intersecting perpendicularly can be calculated using the triple integral formula in rectangular coordinates. The triple integral formula is V=∫∫∫dzdydx.
We can separate the integral into three components. The x-component is ∫dx from \(-√r2-y2 to √r2-y2\). The y-component is ∫dy from -r to r. The z-component is ∫dz from 0 to r.
Substituting the components into the equation for the triple integral, we get \(V=∫-rrdr∫-√r2-y2√r2-y2dx∫0rdz\).
We can solve the integral by splitting the y-component into two pieces:
\(V=∫-rrdr∫-r0dx∫0rdz+∫-rrdr∫0√r2-y2dx∫0rdz\)
The first integral can be solved easily and yields V=πr2. The second integral can be solved using the substitution u=r2-y2 and yields V=πr3.
Hence, the total volume of the two circular cylinders intersecting perpendicularly is V=πr2+πr3=πr2(1+r).
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Use the following density curve for values between 0 and 2. uniform distribution For this density curve, what percent of the observations lie above 0.2
90% of the observations lie above 0.2 in this uniform distribution.
To find the percent of observations that lie above 0.2 in a uniform distribution, we need to calculate the area under the density curve above 0.2.
Since the density curve represents a uniform distribution, the probability density function (PDF) is a constant value between 0 and 2. The area under the density curve represents the probability of an observation falling within that range.
In a uniform distribution, the PDF is given by:
f(x) = 1 / (b - a)
Where a is the lower bound and b is the upper bound of the distribution.
Since the lower bound is 0 and the upper bound is 2, the PDF for this uniform distribution is:
f(x) = 1 / (2 - 0) = 1 / 2
To find the percent of observations above 0.2, we need to find the area under the density curve above 0.2.
Since the PDF is constant for this distribution, the area above 0.2 is equal to:
(2 - 0.2) * (1 / 2) = 1.8 / 2 = 0.9 = 90%
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consider the monty hall problem discussed in lecture. take the case where there are 6 doors. behind 5 doors there are goats and behind 1 door there is a car. you will pick a door and then the host will open 4 remaining doors revealing goats. assume that you always then switch to the last remaining door. what is the probability of winning the car?
The probability of winning the car in this Monty Hall problem with 6 doors is 83.33%.
In this scenario, there are 6 doors, with 1 car behind one of them and goats behind the other 5. You pick a door, and the host opens 4 other doors revealing goats. You always switch to the last remaining door.
To find the probability of winning the car, follow these steps:1. Initially, there is a 1/6 chance you picked the car and a 5/6 chance you picked a goat.
2. If you picked a goat (5/6 probability), the host will open the other 4 doors with goats, leaving the car behind the last remaining door. In this case, switching will win you the car.
3. If you picked the car (1/6 probability), the host will still open 4 doors with goats, but switching would make you lose the car in this case.
Since you always switch, the probability of winning the car is the same as the probability of initially picking a goat, which is 5/6. So, the probability of winning the car is approximately 83.33%.
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Ella has 23 red blocks and 41 green blocks. She will use all of the blocks to build 8 equal towers.
Answer:
8
Step-by-step explanation:
23:41
41+23=64
64/8=8
solve 11 ≤ w + 3.4 i dont know the answer please help me
Answer:
7.6 ≤w
Step-by-step explanation:
Hey there!
In order to solve this inequality, you need to simplify the inequality like the following:
Subtract 3.4 from both sides
7.6 ≤w
This means that w is greater than or equal to 7.6
Help!&:&&/‘snsksnjsa
Answer:
17
Step-by-step explanation:
Order the numbers from least to greatest and find the number i n the middle
Answer:
17
Step-by-step explanation:
organize by least to greatest and mark off from each side until you reach the middle. Easy way to remember is that medium is the middle.
Multiply PLEASE !!! Thank you
Answer:
x exponent 4 + 6y exponent 2 - y exponent 4
Step-by-step explanation:
Answer:
2xpower2 6y 0power2
Step-by-step explanation:
Brandon rolls a six sided die twenty times, and records the result in the table below. how many times did brandon roll above the average? 6 1 3 4 4 4 6 5 5 3 6 4 4 5 2 3 5 4 4 2 a. 14 b. 7 c. 5 d. 4
The average is the arithmetic mean of all the observations of a set of numbers. The number of times Brandon rolls above the average is 7.
What is average?The average is the arithmetic mean of all the observations of a set of numbers. it is found by dividing the sum of all the observations of the set by the number of observations in the set.
\(\rm{Average=\dfrac{Sum\ of\ observations}{Number\ of\ observations}\)
In order to know the number of times Brandon rolls the dice above the average, we first need to calculate the average of the twenty rolls.
The average of the 20 times dice rolls,
\(\rm Average = \dfrac{6+1+3+4+4+4+6+5+5+3+6+4+4+5+2+3+5+4+4+2}{20}\)
\(\rm Average = \dfrac{80}{20} = 4\)
Thus, the average of the 20 rolls of the dice is 4.
Now, the number of times the result of the dice roll is above 4(x>4) is 7.
Hence, the number of times Brandon rolls above the average is 7.
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The points (- 1, – 2), (1, 0), (- 1, 2), (- 3, 0) forms a quadrilateral of type:
Answer:
A square.
Step-by-step explanation:
Which of the following describes the solution to the equation c²+2c-4-1-2c? O-5 is an extraneous solution, and 1 is a true solution. O-5 is a true solution, and 1 is an extraneous solution. O Both -5 and 1 are true solutions. O Both -5 and 1 are extraneous solutions.
Both -5 and 1 are extraneous solution to the equation
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x ax2+bx+c=0. with a ≠ 0 . Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
c²+2c-4-1-2c = 0
c²+2c-2c -4-1 = 0
c²-5 = 0
Therefore both -5 and 1 are extraneous solution in the equation.
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What is seven times six
Answer:
42
Step-by-step explanation:
Multiple Choice \( \$ 16.80 \) \( \$ 21.60 \) \( \$ 11.40 \) \( \$ 19.40 \)
If your required return is 6% per year, compounded monthly, and you are offered an investment that will pay you $800 a month for 40 years, the approximate amount you would be willing to pay for this investment is $16.80.
To determine the present value of the investment, we need to calculate the discounted value of the future cash flows. In this case, the cash flow is $800 per month, and the time period is 40 years, or 480 months.
Using the formula for present value, which is \(PV = CF / (1 + r)^n\), where PV is the present value, CF is the cash flow, r is the required return per period, and n is the number of periods, we can substitute the given values:
PV = $800 / (1 + 0.06/12)\(^(480)\)
Simplifying the expression, we find that the present value is approximately $16.80. This means that if you want to achieve a required return of 6% per year, compounded monthly, you would be willing to pay approximately $16.80 for this investment.
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