A picture of a square is shown. One of the side length is 5cm. Find the bottom 'x' of the diagonal
Answer:
5cm.
Step-by-step explanation:
All squares have the same length in sides. A square has four sides all of the same length, if one is 5cm the others are aswell. 5cmx4 sides=20cm
A data firm records large amount of data. Historically, .9% of the pages of data recorded by the firm contain errors If 200 pages of data are randomly selected, What is the probability that six or more pages contain errors? b What is the probability that more than 10 pages contain errors? What is the probability that none ofthe pages contain errors? d. What is the probability that fewer than five pages contain errors?
There is a 0.0876 percent probability that six or more pages will include mistakes. There is a 1.64 x 10⁻⁶ chance that more than 10 pages may include mistakes.
What purposes does probability serve?Information about possibility of occurrence is provided by probability. For instance, weather patterns are used by meteorologists to predict the possibility of rain. In order to understand the relationship between exposures and the risk of health outcomes, epidemiology uses probability theory.
a) Chance that six or more pages may have mistakes:
To get this probability, we can utilise the binomial probability formula:
P(X>=6) = 1-P(X<6)
where X is the number of pages with errors.
P(X<6) = P(X=0)+P(X=1)+P(X=2) +P(X=3)+P(X=4)+P(X=5)
For each term, using the binomial probability formula, we obtain:
P(X < 6) = 0.9124
Therefore, P(X >= 6) = 1 - P(X < 6) = 1 - 0.9124 = 0.0876
Hence, there is a 0.0876 percent chance that six or more pages will include errors.
b) Chance that there are errors on more than 10 pages:
Using the same method, we can discover:
P(X > 10) = P(X = 11) + P(X = 12) + ... + P(X = 200)
To find the likelihood, we can use a calculator or software because performing the math by hand can be very time-consuming. Using a calculator for the binomial distribution, we obtain:
P(X > 10) = 1.64 x 10⁻⁶ (rounded to 3 decimal places)
Hence, there is a roughly 10% chance that there will be errors on more than 10 pages. 1.64 x 10⁻⁶.
c) Probability that none of the pages contain errors:
P(X = 0) can be calculated using the binomial probability formula:
P(X = 0) = (200 choose 0) * (0.009)⁰ * (1 - 0.009)²⁰⁰
= 0.8196
As a result, 0.8196 percent of the pages are likely to be error-free.
d) Probability that fewer than five pages contain errors:
P(X<5)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)
Again, using the binomial probability formula for each term, we get:
P(X < 5) = 0.8151
Hence, the likelihood that fewer than five pages are mistake-free is 0.8151.
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Which of the following is the correct graph of the compound inequality 4p + 1 >-11 or 6p +3 <39
Answer:
Option C
only there is p > -3
p < 6
Answer:
c
Step-by-step explanation:
For an experiment involving 2 Levels of factor A and 3 levels of factor B with a sample of n = 5 in each treatment condition, what is the value for df within treatments?
A 24
B 20
C 29
D 30
Option A is the correct answer.
For an experiment involving 2 Levels of factor A and 3 levels of factor B with a sample of n = 5 in each treatment condition, we need to calculate the value for df within treatments.
The formula to calculate df within treatments is given by, df within treatments = (A - 1) (B - 1) (n - 1)Where, A = Levels of factor AB = Levels of factor Bn = Sample size= 2 levels of factor A= 3 levels of factor B= 5 in each treatment conditionNow, df within treatments = (A - 1) (B - 1) (n - 1)= (2 - 1) (3 - 1) (5 - 1)= 1 × 2 × 4= 8Hence, the value of df within treatments is 8.
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Determine whether the geometric series is convergent or divergent. ∑ n=1[infinity] 12(0.73) ^ n−1convergent divergent
The geometric series is convergent, and its sum is equal to 17.17.which was calculated by dividing the two successive terms and using the formula S = a / (1 - r), then reducing the sum by multiplying it with the common ratio.
Identify the common ratio's value by:
Any two successive terms in the sum can be divided to obtain the common ratio, r:
r = 0.73 = 0.73¹
Calculate the series' sum:
The following formula can be used to calculate the sum of the geometric series:
S = a / (1 - r)
Where a stands for the series' initial term and r for its common ratio.
Therefore:
S = 12 / (1 - 0.73)
S = 12 / 0.27
S = 44.44
Reduce the sum: The sum can be made simpler by multiplying it by the common ratio because the series is convergent.
S = 44.44×0.73
S = 17.17
Hence, the sum of this geometric series is 17.17.
Complete Question:
Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum.
\sum_1{ }_{12(0.73)^{n-1}}
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The weight of oranges growing in an orchard is normally
distributed with a mean weight of 5.5 oz. and a standard
deviation of 1 oz. What is the probability that a randomly
selected orange from the orchard weighs more than 4 oz., to the
nearest thousandth?
Answer:
The probability is 0.933
Step-by-step explanation:
We start by calculating the z-score
Mathematically;
z-score = (x-mean)/SD
x = 4
mean = 5.5
SD = 1
z-score = (4-5.5)/1 = -1.5
So we proceed to get the probability
This is;
P( z > -1.5)
we can get this from the standard normal distribution table
That will be
P(z > -1.5) = 0.93319
To the nearest thousandth, this is 0.933
The temperature in a greenhouse should be 66 degrees or higher. One morning, the heater stopped working. The temperature dropped 2 degrees before someone fixed the heater. The temperature was still at least 66 degrees when the heater started working again. How can you best describe the temperature in the greenhouse before the heater stopped working?
The temperature in the greenhouse was at least (answer) degrees before the heater stopped working.
Please answer ASAP!
Answer:
The temperature in the greenhouse was at least 68 degrees before the heater stopped working.
Step-by-step explanation:
It was at 68 then it dropped by 2 degrees.
In the diagram, which pair of angles are alternate interior angles?
Answer:
<5 and <3
Step-by-step explanation:
the third option
Answer:
I believe the answer is C) angle 5 and angle 3
Step-by-step explanation:
An alternate, interior angle is the reflected angle over the baseline
The sum of 3 consecutive even numbers is 72 what is the smallest of the three numbers
Answer:
23
Step-by-step explanation:
x + (x + 1) + (x + 2) = 72
3x + 3 = 72
3x = 69
x = 23
check answer:
23 + 24 + 25 = 72
find the volume of the region contained in the cylinder x 2 y 2 = 9, bounded above by the plane z = x and below by the xy-plane.
the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.
Given: The cylinder is x² + y² = 9, bounded above by the plane z = x and below by the xy-planeWe know that, the cylinder is x² + y² = 9Which is (x/a)² + (y/b)² = 1Where a = 3 and b = 3The plane is z = xThe region is bounded below by the xy-plane Thus, the volume of the region can be found by integrating z = x with limits of x² + y² ≤ 9.So, V = ∭ dx dy dz where the limits are given by the cylinder and the plane.V = ∫∫∫ (x) dV ... (1)Now, converting the integral into cylindrical coordinates we have,∫∫∫ (x) dV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ ... (2)x = r cos θ, y = r sin θ, and z = z.We know that the limits of x² + y² ≤ 9 in cylindrical coordinates are 0 ≤ θ ≤ 2π, 0 ≤ r ≤ 3, 0 ≤ z ≤ r cos θ.Using (2) in (1), we haveV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ= ∫θ = 0 to 2π ∫r = 0 to 3 [r² cos θ / 2] dr dθ= ∫θ = 0 to 2π [ 9 cos θ / 2 ] dθ= 9 [ sin θ ]θ = 0 to 2π= 0Thus, the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.
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A rectangle has a perimeter of 35 1 half feet. If the length is 12 feet, what is the area of the rectangle?
Answer:
The area of the rectangle is 69 feet squared.
Step-by-step explanation:
Fill in the 2 missing blanks for the proof below:
add
a³b(a²-2a+3) and 2ab(a³+3a²-5b)
please answer this question step wise
Step-by-step explanation:
i hope it helps you!! :)))
Simplify the expression
3(x-2)+1
A. 3x-5
B. 3x-6
C. 2x-3
Please help me with this..
Answer:
Step-by-step explanation:
1.one solution
2.infinitely
3.one solution
4.one solution
5.no solution
1/3 gallon of paint is used to cover 1/9 of the fence how much paint will cover the entire
fence?
Answer:
3 gallons of paint
Step-by-step explanation:
We know
1/3 gallon of paint is used to cover 1/9 of the fence. How much paint will cover the entire fence?
We take
1/3 x 9 = 9/3 = 3 gallons of paint
So, it takes 3 gallons of paint to cover the entire fence.
Solve the right triangle, Please Do not Roundup. NEED HELP ASAP PLEASE.
The angles and length of the right triangle are as follows:
WX = 10√141 units
m∠X = 30°
m∠V = 60°
How to find the side of a right angle triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a right angle triangle is 180 degrees.
Trigonometric ratios can be used to find the side and angles of the right triangle as follows;
Therefore,
Using Pythagoras's theorem,
WX² = (20√47)² - (10√47)²
WX² = 400(47) - 100(47)
WX² = 18800 - 4700
WX = √14100
WX = 10√141
Let's find the angles
sin m∠X = opposite / hypotenuse
sin m∠X = 10√47 / 20√47
sin m∠X = 1 / 2
m∠X = sin⁻¹ 0.5
m∠X = 30 degrees
Therefore,
m∠V = 180 - 90 - 30
m∠V = 60 degrees
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50 points need asap
Solve the inequality for x. Show each step of the solution.
12x > 9 ( 2x - 3) - 15
Answer:
The solution of 12x>9(2x-3)-15 is x>7.
ABCD is a rectangle and AC and BD are its diagonals. If AC = 10 cm, then BD is?
A. 10 cm
B. 5 cm
C. 15 cm
Or D. 20 cm
Lemme know, take ur timeee
Answer:
A. 10 cm
Step-by-step explanation:
In a right angled triangle, a² + b² = c² where c is the diagonal or hypotenuse. If you split a rectangle diagonally into two right angle triangles, the a and b of both triangles would be the same length. Therefore, the c or diagonals would also be the same length - 10 cm.
Hope this helps!
Twelve toy turtles run a race.
Each turtle is numbered from 1 to 12. A turtle
can move forward one step whenever their
number is rolled from the sum of two six-sided
number cubes.
Who do you think is most likely to win the race?
Answer:
8 could be the answer of this but im not sure
help I don’t know how I’m supposed to do this
Answer: So, you got the length of side C. You now need to find what 10 is squared, then what plus what (in squared gates you there). A squared plus B squared is C squared. It is basic Pythagorean Threom.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
For this I think you should know what SOH-CAH-TOA is, if not here.
O=opposite, A=adjacent(side), and H=-hypotenuse. We see they give us the right angle we need to solve, remember that we need the angle to the side of the right angle. Now S=sin, C=cos, T=tan, with these we use them to solve in the calculator. If you don't have a calculator, its going to be hard. But if you have a Ti-84 then set it to Degree mode. Ok moving on, We see they give us the adjacent and the hypotenuse, not the opposite.(from the given angle) So we can take off, SOH and TOA, see it doesn't have or has the incorrect sides. So we have left CAH.
Equation time:
, we see that the x is on top so we just multiply....
\(cos36(10)\)= 8.090
I hope this helps!
A count went from 605 to 203. What was the approximate percent decrease? Round the numbers to find an estimate of the percent decrease.
Answer:
66 %
Step-by-step explanation:
it is 66% because 203 is less than half of 605 .So, you would add together .
203+203=406 Thats not even close to 605 so now you add almost half so that would be about 66%
IT'S D
HOPE THIS HELPED MARK ME BRAINLIST PLS
is it possible to choose (2n 1)^2 points in the disc of radius n such that the distance between any two of them is greater than 1?
Answer: its (4f 5) ^3
Step-by-step explanation:
Directions:Use the power rule to simplify the following monomials.
1.) (x²)⁵
2.) (cd²)³
3.) -4(mn⁴)³
4.) (2x²y)⁵
5.) (-3x²)³
ANYONE PLEASE HELP ME I REALLY NEED THE ANSWER RIGHT NOW:(
I'LL MARK YOU AS THE BRAINLIEST!
Answer:
1. x^10
2. c^3d^6
3. -4m^3n^12
4. 32x^10y^5
5. -27x^6
Step-by-step explanation:
When you raise a power to a power, you multiply the exponents together. Hope this helps
for h(x) = 4x-1, find h(0) and h(2)
Answer:
- 1 and 7
Step-by-step explanation:
to find h(0) substitute x = 0 into h(x)
h(0) = 4(0) - 1 = 0 - 1 = - 1
to find h2) substitute x = 2 into h(x)
h(2) = 4(2) - 1 = 8 - 1 = 7
please help me its multiple choice
Answer:
\(\huge\boxed{\sf Price\ of\ carbon\ filter = \$11.75}\)
Step-by-step explanation:
Given that,
3 water pumps = $26.25
Using unitary method
Divide both sides by 33/3 water pumps = $26.25/3
1 water pump = $8.75From the question,
The price of 1 water pump and one carbon filter equal $20.50.
So,
Price of carbon filter = $20.50 - Price of 1 water pump
Price of carbon filter = $20.50 - $8.75
Price of carbon filter = $11.75\(\rule[225]{225}{2}\)
State the explicit formula for the sequence below and find the 8th term.
-4, 16, -64, 256,...
O an = -4(4)n-1; n = 8 is-262,144
O an = -4(-4)-1; n = 8 is 65,536
O an = 4(4)n-1; n = 8 is 65,536
O a = 4(-4)n-1; n = 8 is 261,144
6.25 pts
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The explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536
The given sequence is -4, 16, -64, 256,...
If we observe the sequence it is a geometric sequence
aₙ=a.rⁿ⁻¹
a is the first term and r is the common ratio
From the sequence the first term is -4 and common ratio is -4
aₙ=(-4).(-4)ⁿ⁻¹
Plug in the value n as 8
a₈=(-4).(-4)⁷
The value of minus four power seven is minus sixteen thousand three hundred eighty four
a₈=(-4)(-16384)
When four is multiplied with sixteen thousand three hundred eighty four we get sixty five thousand five hundred thirty six
a₈= 65536
Hence, the explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536
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help solve this as a two step equation!!
Answer:
x = - 14
Step-by-step explanation:
Step 1: Equation
x/2 - 7 = - 14
Step 2: Solve
x - 14 = - 28
Answer:
x = - 14
Hope This Helps :)
The number of hours a lightbulb burns before failing varies from bulb to bulb. The population distribution of burnout times is strongly skewed to the right. The central limit theorem says that
The average burnout time of a large number of bulbs has a sampling distribution that is close to the normal is known as central limit theorem states.
What is Population Distribution?The Population Distribution is a form of a probability distribution that measures the frequency with which the items or variables that make up the population are drawn or expected to be drawn for a given research study.
In statistics, the frequency (or absolute frequency) of an event can be said as the number of times the observation has occurred/recorded in an experiment or study.
Probability in statistics denotes the possibility of the outcome of any random event. The term means to check the extent to which any event is likely to happen.
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Drew spent $38.97 on 3 1/4 pounds of shrimp. How much did he spend on each pound of shrimp?
The answer to this question is $11.99 on each pound of shrimp.
How to convert mixed fractions into simple ones?
\(a\frac{b}{c} = \frac{ac + b}{c}\) this is the formula to solve the mixed fraction
Total money spent = $38.97
Total pounds of shrimp = \(3\frac{1}{4}\) we will first convert this into simple fraction
lets apply above formula
\(3\frac{1}{4} = \frac{3(4)+1}{4} = \frac{13}{4} = 3.25\)
means in simple language drew had 3.25 pounds of shrimp
money spent on each pound of shrimp = \(\frac{38.97}{3.25} = $11.99\)
Hence we can conclude that Drew has spent $11.99 per pound of shrimp
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