Complete the equations so that the solution of the system of equations is (-3, 5)
a binomial experiment with probability of success =p0.7 and =n7 trials is conducted. what is the probability that the experiment results in exactly 6 successes?
The probability that the experiment results in exactly 6 successes is 0.2668.
To calculate the probability of exactly 6 successes in a binomial experiment with p=0.7 and n=7, we can use the binomial probability formula:
P(X = k) = (n choose k) * \(p^{k}\) * \((1-p)^{n-k}\)
where X is the random variable representing the number of successes, k is the number of successes we're interested in, and n is the total number of trials.
Substituting the values, we get:
P(X = 6) = (7 choose 6) * \(0.7^{6}\) * \((1-0.7)^{7-6}\)
= 7 * \(0.7^{6}\) * \(0.3^{1}\)
= 0.266827932
Therefore, the probability of exactly 6 successes in a binomial experiment with p=0.7 and n=7 is approximately 0.2668.
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a quality control inspector has drawn a sample of 14 light bulbs from a recent production lot. suppose 20% of the bulbs in the lot are defective. what is the probability that less than 9 but more than 7 bulbs from the sample are defective? round your answer to four decimal places.
The probability that less than 9 but more than 7 bulbs from the sample are defective is 0.8944.
The formula to find the probability of x number of defective bulbs in a sample of n bulbs is as follows:
P(x) = [\(n \choose x\) * p^x * (1-p)^(n-x)], where \(n \choose x\) is the combination of n and x.
So, The probability of x < 9 defective bulbs in a sample of 14 bulbs is given as follows:
P(x<9) = P(x=0) + P(x=1) + P(x=2) + P(x=3) + P(x=4) + P(x=5) + P(x=6) + P(x=7)
Therefore, the probability that less than 9 bulbs from the sample are defective is
P(x<9) = [\(14 \choose0\) * (0.2)^0 * (0.8)^14] + [\(14 \choose1\) * (0.2)^1 * (0.8)^13] + [\(14 \choose2\) * (0.2)^2 * (0.8)^12] + [\(14 \choose3\) * (0.2)^3 * (0.8)^11] + [\(14 \choose4\) * (0.2)^4 * (0.8)^10] + [\(14 \choose5\) * (0.2)^5 * (0.8)^9] + [\(14 \choose6\) * (0.2)^6 * (0.8)^8] + [\(14 \choose7\) * (0.2)^7 * (0.8)^7]= 0.8962
Similarly, the probability that more than 7 bulbs from the sample are defective is:
P(x>7) = P(x=8) + P(x=9) + P(x=10) + P(x=11) + P(x=12) + P(x=13) + P(x=14)
Therefore, the probability that more than 7 bulbs from the sample are defective is
P(x>7) = [\(14 \choose8\) * (0.2)^8 * (0.8)^6] + [\(14 \choose9\) * (0.2)^9 * (0.8)^5] + [\(14 \choose10\) * (0.2)^10 * (0.8)^4] + [\(14 \choose11\) * (0.2)^11 * (0.8)^3] + [\(14 \choose12\) * (0.2)^12 * (0.8)^2] + [\(14 \choose13\) * (0.2)^13 * (0.8)^1] + [\(14 \choose14\) * (0.2)^14 * (0.8)^0]= 0.0005
Therefore, the probability that less than 9 but more than 7 bulbs from the sample are defective is:
P(8≤x≤7) = P(x<9) - P(x≤7)
P(8≤x≤7) = P(x<9) - [P(x=0) + P(x=1) + P(x=2) + P(x=3) + P(x=4) + P(x=5) + P(x=6) + P(x=7)]= 0.8962 - 0.0018= 0.8944 (rounded to four decimal places)
Therefore, more than 7 out of the sample have a probability of failure, but less than 9 out of the sample probably have a failure.
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What is the value of this expression when a = 4, b= -5, and c= -7?
a + 2bc
3a ?
Answer:
1) -66
2)
Step-by-step explanation:
Given:
a=4
b=-5
c=-7
=a+2bc
=4+2*-5*7
=4+(-10*7)
=4-70
=-66
=3a
=3(4)
=12
Hope this helps ;) ❤❤❤
Answer:
-66, 12
Step-by-step explanation:
4+2 times-5 times -7 times
-70+4= 66
X+5x;x=5 A.30 B.25 C.5 D.20
Answer:
A
Step-by-step explanation:
x+5x if x =5 replace the variable with the key (x=5)
so now the problem reads
5+5*5
acording to oder of operations u do multipcaion 1rst
5+25
30
so ur answer is 30
in the end step by step looks like this
x+5x if x =5
5+5*5
5+25
30
how many fluid ounces are in 3 quarts?
Answer: 96 fluid ounces
Step-by-step explanation:
1 quart = 32 fluid ounces
32 x 3 = 96
1 x 3 = 3
There are 96 fluid ounces in 3 quarts.
Hope this helps!
What is the slope of this graph?
Rise
Run
Rise = 3
Run = 6
1
2
Explain why x squared -8x+20 is always positive
Answer:
to square a number you multiply the number by itself.
a positive number times a positive number is a positive number.
a negative number times a negative number is a negative number.
and if you are multiplying 2 numbers with the same sign they will always be a positive number.
Which pair of angles add up to 180 degrees?
a and g i think, hope this helps
enrique y carolina fueron a un día de picnic junto con sus amigos .si calcularon que iban a necesitar 9:2 l de jugo que alcáncense a todos ¿Cuántos envases de litro necesitan comprar?
Answer:
donde está la leche
Step-by-step explanation:
Dividend must be put in AX register when using DIV or IDIV. Select one: True False
Dividend must be put in AX register when using DIV or IDIV. True.
In x86 assembly language, the DIV instruction is used for unsigned division, and the IDIV instruction is used for signed division. Both instructions require the dividend to be placed in the AX register.
The AX register is a 16-bit general-purpose register in the x86 architecture. It stands for "accumulator" and is commonly used for arithmetic operations. When using the DIV or IDIV instructions, the dividend value should be loaded into the AX register before executing the instruction.
The DIV instruction divides the contents of the AX register by the specified divisor, and the quotient is stored in the AX register. The remainder of the division operation is stored in the DX register.
Similarly, the IDIV instruction performs signed division. The contents of the AX register (the dividend) are divided by the specified divisor, and the signed quotient is stored in the AX register. The remainder is stored in the DX register.
By placing the dividend in the AX register, the DIV or IDIV instructions know where to find the value to be divided and where to store the result of the division operation. This ensures that the division operation is performed correctly and the resulting quotient or remainder is properly handled.
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1. Write a variable expression for the product between a number y and 2.
y. 3
y 2
2+y
2-y
Answer:
it'd be "the product OF a number y and 2." Answer: 2y.
Step-by-step explanation:
(V. An aeroplane is flying parallel to the Earth's surface at a speed of 175 m/sec and at a height of 600 m. The angle of elevation of the aeroplane from a point on the Earth's surface is 37°. After what period of time does the angle of elevation increase to 53° ? (tan 53° = 1.3270, tan 37° = 0.7536)
dot on top of earth = plane position at the time of observation (right one when 37°, left one 53°)
then the geometry is zoomed on the left side
-8c-18=-3(c-4)
solve for c
Answer:
c= -6
Step-by-step explanation:
1) expand the equation to -8c-18=-3c+12
2) add 18 to both sides which then makes it -8c=-3c+30
3) add 3c to both sides which makes it -5c=30
4) then divide by -5 which makes it c=-6
suppose that 47% of people have dogs. if two people are randomly chosen, what is the probability that they both have a dog? write your answer as a percent and round to the nearest hundredth of a percent.there is a % chance the two randomly chosen people both have dogs.
The answer is that there is a 22.09% chance that the two randomly chosen people both have dogs. To answer this question, we need to use the concept of probability.
The probability of an event happening is the likelihood or chance of that event occurring. In this case, the event is both people having a dog.
We are given that 47% of people have dogs. Therefore, the probability of one person having a dog is 47%. To find the probability of both people having a dog, we need to multiply the probability of the first person having a dog by the probability of the second person having a dog. This is because the two events are independent of each other, meaning that the outcome of the first event does not affect the outcome of the second event.
So, the probability of both people having a dog is:
47% x 47% = 0.47 x 0.47 = 0.2209
To convert this to a percent, we multiply by 100:
0.2209 x 100 = 22.09%
Therefore, the answer is that there is a 22.09% chance that the two randomly chosen people both have dogs.
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Distance between (-9,-6) and (-6,-8)
Answer:
The distance is....
5
Step-by-step explanation:
Help pls I’m really stupid
Answer:
8
Step-by-step explanation:
\(x - y \\ \\ = 6 - ( - 2) \\ \\ = 6 + 2 \\ \\ = 8\)
You are a genius and not a stupid.
if a test yields almost identical scores when it is retaken after a two-month interval, we can say that the test is
Yield testing is a technique for figuring out the precise quantity of raw materials required to make a specific quantity of finished product.
What exactly is a yield test?The amount of food material available for consumption after it has been prepared, processed, and changed into the completed product is referred to as yield.Yield testing is a method of determining the precise amount of raw materials needed to produce a certain amount of final product.AP weight minus waste equals EP weight.Calculate your yield percentage by dividing the edible product weight by 100. EP weight x AP weight x 100 = yield% is the formula.Therefore, yield testing is a method of determining the precise amount of raw materials needed to produce a certain amount of the final product.
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jada says she can write an equivalent fraction with a denominator of 100 by multiplying 5 by 5, then writing the number of hundredths as a decimal
find the slope of the tangent line to the given polar curve at the point specified by the value of . r = 5 sin(), = 6
By following the steps, you will find the slope of the tangent line to the polar curve r = 5 sin(θ) at the point specified by θ = 6.
Hi! To find the slope of the tangent line to the given polar curve r = 5 sin(θ) at the point specified by the value θ = 6, follow these steps:
1. Find the rectangular coordinates (x, y) of the point using the polar to-rectangular conversion formulas:
x = r cos(θ)
y = r sin(θ)
2. Differentiate r with respect to θ:
dr/dθ = 5 cos(θ)
3. Use the chain rule to find the derivatives of x and y with respect to θ:
dx/dθ = dr/dθ * cos(θ) - r * sin(θ)
dy/dθ = dr/dθ * sin(θ) + r * cos(θ)
4. Plug in the given value of θ (6) into the expressions above and find the corresponding values of x, y, dx/dθ, and dy/dθ.
5. Finally, find the slope of the tangent line using the formula:
dy/dx = (dy/dθ) / (dx/dθ)
By following these steps, you will find the slope of the tangent line to the polar curve r = 5 sin(θ) at the point specified by θ = 6.
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What should we subtract from 50/29 to get 24
Answer:
-22.28
Step-by-step explanation:
Let the number to be subtracted from 50/29 to get 24 to be x
So this can be written as : 50/29 - x =24 ----collect like terms as
50/29 - 24 = x
1.72 -24 = x
-22.28 = x
So to check the answer;
50/29 -{x} = 24
50/29 - {- 22.28} = 24
1.72+ 22.28 = 24 ---correct.
Did I do this right? Please help, help
according to the recursive depnition for the length of a string, what is |001|?
According to the recursive definition for the length of a string, the length |001| is 3. The term "recursive" refers to a process that defines something in terms of itself, "length" refers to the number of characters in the string, and "string" is a sequence of characters. In this case, the string "001" has three characters (0, 0, and 1), so its length is 3.
According to the recursive definition for the length of a string, |001| is 3. The length of a string is defined as 0 if the string is empty, and 1 plus the length of the string without its first character if the string is not empty. In this case, the string "001" is not empty, so its length is 1 plus the length of the string "01" without its first character. Since the string "01" is also not empty, its length is 1 plus the length of the string "1" without its first character. Finally, the string "1" is a single character and has a length of 1, so the total length of "001" is 1 + 1 + 1 = 3.
Recursion is the process of calling itself. This process provides a way to break complex problems into simpler processes that are easier to solve. Recursion can be a bit confusing. The best way to determine how it works is to experiment with it.
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if 2/3 kg of beef cost p160 then how much will 6 2/5 kg of beef cost
Please solve it with solution i need this ASAP thank u :)
Answer:
1536 p
Step-by-step explanation:
6 2/5 kg / ( 2/3 kg/160 p) = 1536 p
24/4 ÷ 10
please answer quickly
Answer:
0.48
Step-by-step explanation:
25/4 ÷ 10=0.48
Brainiest plz and hope it helped
A person whose eyes are 5 feet about the ground is standing on the runway of an airport 100 feet from the control tower. That person observes an air traffic controller at the window of the 132-foot tower. What is the angle of elevation?
Answer:
Step-by-step explanation:
132-5 therefore the height from the eyes to the window is 127
100 feet away from the base of the tower
This forms two legs of a triangle
trying to find the degrees of this triangle.
Since its the two legs, you can use tanx which = to opposite side/adjacent side
Therefore, it is tanx = 127/100
But you are looking for x so arctan(1.27)
Must use calculator to find x
Hope this answer helps you :)
Have a great day
Mark brainliest
a rectangular pasture has a perimeter of 1200 feet. the pasture's length is 200 feet more than its width. what is the area of the pasture?
The area of the rectangular pasture is found to be 80,000 ft².
Explain the term Rectangle?A rectangular is a flat, two-dimensional object with four sides. A rectangle has two opposite sides that are parallel to one another and have the same length. A rectangle with the dimensions l and w has an area of l w. The rectangle's perimeter is 2(l + w).Given:
A rectangular pasture does have a 1200 foot circumference. The width of the meadow is 200 feet wider than its length.Let the pasture's rectangular length be l feet.
Given that the rectangular pasture's length being 200 feet longer than its breadth, its width must be w = l200 feet.
The pasture's boundary is;
2(l + w) = 1200
2(l + l - 200) = 1200
2l - 200 = 600
l = 400 feet
Width; w = l - 200
w = 400 - 200 = 200 feet
Rectangular area;
A = l x w
A = 400 x 200
A = 80,000 ft²
Thus, the area of the rectangular pasture is found to be 80,000 ft².
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Kiran is playing a video game. He earns 3 stars for each easy level he completes and 5 stars for each difficult level he completes. He completes more than 20 levels total and earns 80 or more stars
Answer:
10 easy levels and 10 difficult levels
Step-by-step explanation:
Given data
let the number of easy levels be x
and the number of difficult levels be y
so
x+y= 20----------1
and
3x+5y= 80------2
from 1
x=20-y
put this in 2
3(20-y)+5y= 80
60-3y+5y=80
2y=80-60
2y=20
y= 20/2
y= 10
put y= 10 in 1
x+10=20
x=20-10
x= 10
Hence Kiran played 10 easy levels and 10 difficult levels
Solve for x:
5x−29>−34 OR 2x+31<29
A. x<−1 OR x>−1
B. x<−1
C. There are no solutions
D. All values of X are solutions
The solution for the inequalities is x > - 1 OR x < -1.
What is linear inequality?The mathematical expression for inequality states that neither side is equal. In mathematics, inequality occurs when the relationship results in a non-equal comparison between two expressions or numbers. Any of the inequality symbols, such as greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), or not equal to (≠).
Given : 5x - 29 > -34 OR 2x + 31 < 29.
to solve the equations,
5x - 29 > -34 OR 2x + 31 < 29.
For 5x - 29 > -34
On adding both sides by 29.
5x > - 34 + 29 .
5x > -5
On dividing both sides by 5.
x > - 1 .
For 2x + 31 < 29.
On subtracting both sides by 31
2x < 29 -31
2x < - 2
On dividing both sides by 2.
x < -1
So , x > - 1 OR x < -1 .
Therefore, option A is correct.
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Item 9
A store receives a delivery of 2 cases of perfume. Each case contains 10 bottles. Each bottle contains 80 millimeters of perfume.
How many milliliters of perfume in all does the store receive in this delivery?
94 mL
160 mL
800 mL
1,600 mL
Answer:
1,600 ml
there is 20 bottles all together in both boxes. Multiply 20 times 80 to get 1,600 ml in all