Answer:
5/16
Step-by-step explanation:
There are a total of 16 different outcomes because 2*2*2*2 = 16.
There are 5 different ways for him to get 3 or more heads:
HHHT
HHTH
HTHH
THHH
HHHH
Therefore the probability is 5/16
3h-2(4h-5)=10-5h A-0 B-4 C-infinity many solutions D-no solutions
Answer:
Step-by-step explanation:
3h - 8h + 10 = 10 - 5h
-5h + 10 = 10 -5h
10 = 10
infinitely many solutions
answer is C
Find the surface area of the figure. Hint: the surface area from the missing prism inside the prism must be ADDED!
To find the surface area of the figure, we need to consider the individual surfaces and add them together.
First, let's identify the surfaces of the figure:
The lateral surface area of the larger prism (excluding the base)
The two bases of the larger prism
The lateral surface area of the smaller prism (excluding the base)
The two bases of the smaller prism
The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.
The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.
To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.
Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.
Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.
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Prove that the measure of angle JKL is 90 degrees.
∡ NKM + ∡KNM + ∡ NMK = 180° Because Angles in a triangle ΔNKM sum to 180°
∡ NKM + 90° + 60° = 180°
∡ NKM = 30°
∡ NKM = ∡JKN = ∡ MKL = 30° because ΔJKM∼ΔNKM∼ΔMKL
Finally:
∡ JKL = ∡ NKM + ∡JKN + ∡ MKL
∡ JKL = 30° + 30° + 30°
∡ JKL = 90°
With the help of properties of triangle ∠JKL = 90 degrees.
To prove:
∠JKL = 90 degrees.
Here,
Angle sum property of triangle:
In any triangle sum of angles is 180 degrees.
So,
In ΔNKM
∡ NKM + ∡KNM + ∡ NMK = 180°
∡ NKM + 90° + 60° = 180°
∡ NKM = 30°
Now,
ΔJKM∼ΔNKM∼ΔMKL (By AAA)
Thus,
∡ NKM = ∡JKN = ∡ MKL = 30°
Next,
∡ JKL = ∡ NKM + ∡JKN + ∡ MKL
∡ JKL = 30° + 30° + 30°
∡ JKL = 90°
Hence proved.
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A traffic light at a certain intersection is green 55% of the time, yellow 10% of the time, and red 35% of the time. A car approaches this intersection once each day. Let Y denote the number of days up to and including the third day on which a red light is encountered. Assume that each day represents an independent trial.
Find P(Y=7)
Find the mean of Y
Find the Variance of Y
The probability of the car encountering it's first red light on the third day, i.e., P(Y = 3) will be 0.1479
According to the question,
we have to calculate the probability of the car encountering it's first red light on the third day, i.e., P(Y = 3)
Here,
Probability of encountering a Red light = 0.35, since traffic light at the intersection is red 35% of the time.
And Y is the number of days that pass up to and including the first time the car encounters a red light, i.e.,
The distribution here is a geometric one, where
P(Y = 3)
= P(Not red light in initial 2 lights) x P(red light in third light)
= [(1 - 0.35)² X 0.35]
= 0.1479
so, the probability of the car encountering it's first red light on the third day, i.e., P(Y = 3) will be 0.1479.
Note:
mean and variance of this question is not possible to find out.
the complete question ends till the probability to find the first red light on the third day.
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Mai and Jada are both running on a treadmill. Mai travels 5 miles in 15 minutes. Jada travels 4 miles in 14 minutes. Who ran at a faster rate? Show and explain your reasoning
Answer:
Mai
Step-by-step explanation:
To find the rate, you must determine who is going faster per minute. To do this, you must divide the total number of miles by the total number of minutes.
Mai: 5 miles / 15 minutes = 1/3 miles per minute
Jada: 4 miles / 14 minutes = 2/7 miles per minute
Then, use a common denominator to make calculations easier:
Mai: 1/3 * 7/7
Jada: 2/7 * 3/3
You should get:
Mai: 7/21 miles per minute
Jada: 6/21 miles per minute
By looking at this, you can see that Mai is traveling slightly faster, going more miles than Jada per minute.
Work out the surface area of this cylinder.
Diameter = 7 cm
Height = 12 cm
Answer: A≈340.86cm²
Step-by-step explanation:
Add the correct constants and factor the resulting trinomial as indicated. x² - 7x + = ( )²
Answer:
The number that goes in the ( ) is 0.
Step-by-step explanation:
what is the role of the seed value of a random number generator?
a. It’s the maximum number of values that can be produced by the generator
b. It’s the maximum values that can be generate
c. It’s the manimum values of any range produced by the generator
d. It’s the number that is the basis of the calculated pseudorandom numbers
the role of the seed value in a random number generator is to initialize the internal state of the generator and serve as the basis for the calculated pseudorandom numbers produced by the algorithm.
The seed value of a random number generator is an important input that determines the sequence of numbers generated by the generator. In particular, the seed value serves as the basis of the calculated pseudorandom numbers produced by the generator.
A pseudorandom number generator is a deterministic algorithm that produces a sequence of numbers that appear to be random, but are actually generated using a mathematical formula or algorithm. The sequence of numbers produced by the generator is not truly random, but is instead a sequence that is determined by the seed value and the algorithm used to generate the numbers.
When a seed value is provided to a pseudorandom number generator, it is used to initialize the internal state of the generator. This internal state is used by the generator to produce the sequence of pseudorandom numbers. Different seed values will result in different sequences of numbers, even when the same algorithm is used.
The seed value does not determine the maximum or minimum values that can be generated by the generator. Instead, the range of values that can be produced is determined by the algorithm used to generate the numbers. The seed value only affects the sequence of numbers produced by the generator.
In summary, the role of the seed value in a random number generator is to initialize the internal state of the generator and serve as the basis for the calculated pseudorandom numbers produced by the algorithm. The seed value does not determine the maximum or minimum values that can be generated, but only affects the sequence of numbers produced by the generator.
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Find any solution(s) of x=2 / x+1 and select the correct statement.
The equation has no solution.
The equation has two solutions.
The equation has one solution.
The equation has one solution and one extraneous solution.
The equation has one solution.
What is a "Simple Equation"?
The link between two expressions on either side of the sign is represented by a mathematical equation. Typically, it has a single variable and an equal sign. Like this: 2x - 4 Equals 2. Equations can be divided into two categories: identities and conditional equations. Any value of the variables results in an identity being true.
Only certain values of the variables in a conditional equation result in truth. When two expressions are joined together by the equals sign ("="), the result is an equation.
X = 2
X = -2
X + 1 = -1
The factors of this equation are x + 2 and x – 1, which gives solutions x = –2 and x = 1. Substituting either solution into the given equation gives a true statement, so they're both solutions.
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p(x)=12x-5x+20 solve for p(x)
Answer:
Step-by-step explanation:
p(x)=7x+20
p=7x/x + 20/x
answer p=7+20/x
I hope its helpful.
In a company, 95% of the workers are men. If 120 people work for the company who aren't men, how many workers are there in all?
Based on the percentage of men workers in the company, the total number of workers is 2,500.
What is the percentage?The percentage is the fractional value of a variable concerning another.
Percentages are like ratios and proportions, which show the numerical relationship between the independent and dependent variables.
The percentage of men workers = 95%
The number of non-men workers = 125
The percentage of non-men workers = 5% (1 - 95%)
If 5% of the workers are 125, the total number of workers, 100% = 2,500 (125/5% x 100%).
Check:
Men workers = 95% = 2,375
Non-men workers = 5% = 125
Total = 2,500
Thus, given the percentage of men workers as 95%, the total number of workers in the company is 2,500.
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Is it possible to draw a triangle has set of sides 9cm 7cm and 17cm give the reason?
It is not possible to construct a triangle whose sides are 9 cm 7 cm and 17 cm because the sum of two sides(9 cm and 7 cm) are smaller than third sides(17 cm).
In the given question, we have to check that it is possible to construct a triangle whose sides are 9 cm 7 cm and 17 cm.
To check whether the given sides can make a triangle or not, we have to check that the sum of two sides always greater than the third side.
To check this we firstly add the 9 and 7
9 + 7 < 17
16 < 17
Now we add 17 and 7
17 + 7 > 9
24 > 9
Now we add 9 and 17
9 + 17 > 7
26 > 7
It is not possible to construct a triangle whose sides are 9 cm 7 cm and 17 cm because the sum of two sides(9 cm and 7 cm) are smaller than third sides(17 cm).
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Hummingbirds have unusually large hearts for their body size. If a person's heart were as
big as a hummingbird's, his or her heart would weigh as much as a large dog.
Information you will need:
An average hummingbird weighs 0.3524 ounces and has a heart that weighs 0.00875
ounces.
1 pound = 16 ounces
The average weight of a large dog is usually more than 80 pounds.
Leo weighs 192 pounds.
a.) How much would Leo's heart weigh if it were the same ratio as a hummingbird's?
Show your work on your paper.
b.) is the original claim true or false? Justify your reasoning here along with your answer.
Answer: 4.8lbs, This claim is false
Step-by-step explanation:
Leo weighs 192 pounds. Then Leo's heart weight will be 76.258 ounces. So, its claim is false.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Hummingbirds have abnormally huge hearts for their body size. In the event that an individual's heart was essentially as large as a hummingbird's, their heart would weigh as much as an enormous canine's. A typical hummingbird weighs 0.3524 ounces and has a heart that weighs 0.00875 ounces.
The ratio of heart to weight is given as,
Ratio = 0.00875 / 0.3524
Ratio = 0.024829
The average weight of a large dog is usually more than 80 pounds. Leo weighs 192 pounds. Then Leo's heart weight is calculated as,
⇒ 0.024829 x 192 x 16
⇒ 76.28 ounces
Their heart weight of Leo is less than the weight of the dog. So, its claim is false.
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the smith family consists of a mother, father, and some children. the average age of the family is 20 yrs. old. the father is 48 yrs. old, and the average age of the mother and children is 16. how many children are in the smith family?
This is a contradiction, which means that our initial assumption that there are n children is incorrect. Therefore, there is no solution to this problem that satisfies the given conditions.
Let's assume that there are n children in the Smith family.
We know that the father is 48 years old, so the sum of the ages of the mother and children is:
Total age = (n + 1) * 20 (as there are n children and 1 father)
And we also know that the average age of the mother and children is 16, so we can write:
Total age / (n + 1) = 16
Combining these two equations, we get:
(n + 1) * 20 / (n + 1) = 16
Simplifying, we get:
20 = 16
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suppose that a die is loaded (biased) such that 3 appears twice as often as each other number but that the other 5 numbers are equally likely. what is the probability that an odd number appears when we roll this die?
To find the probability of rolling an odd number, we need to add up the probabilities of rolling 1, 3, or 5. Therefore, the probability of rolling an odd number on this loaded die is 4/7.
1. There are 6 numbers on a die (1, 2, 3, 4, 5, and 6).
2. 3 appears twice as often as the other numbers, while the other 5 numbers are equally likely.
Let's assume the probability of getting each of the other numbers (1, 2, 4, 5, 6) is x. Since 3 appears twice as often, its probability would be 2x. The total probability is 1, as one of these numbers will definitely show up when the die is rolled:
1x + 1x + 2x + 1x + 1x + 1x = 1
7x = 1
x = 1/7
Now, let's find the probability of rolling an odd number (1, 3, or 5):
First, we need to find the probability of rolling each number on the loaded die. Since 3 appears twice as often as the other numbers, its probability is 2/8 or 1/4. The probability of rolling each of the other five numbers is 1/8.
P(1) = x = 1/7
P(3) = 2x = 2(1/7) = 2/7
P(5) = x = 1/7
The probability of rolling an odd number is the sum of the probabilities of rolling a 1, 3, or 5:
P(odd) = P(1) + P(3) + P(5) = (1/7) + (2/7) + (1/7) = 4/7
So the probability of rolling an odd number on this loaded die is 4/7.
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select correct equation rule
Answer:
x/2
Step-by-step explanation:
2/2=1=y
4/2=2=y
6/2=3=y
a table or spreadsheet used to systematically evaluate options according to specific criteria is a ________.
A table or spreadsheet used to systematically evaluate options according to specific criteria is a decision matrix.
A decision matrix is a table or spreadsheet used to systematically evaluate options based on specific criteria. It is a tool commonly used in decision-making processes to objectively assess and compare different choices.
The decision matrix organizes the criteria in rows and the options in columns. Each cell in the matrix represents the evaluation or score of an option based on a particular criterion. The criteria can be weighted to reflect their relative importance in the decision-making process.
By filling out the decision matrix with scores or ratings for each option and criterion, a comprehensive evaluation can be performed. The matrix allows decision-makers to visualize and compare the performance of different options against the criteria, helping them make more informed and structured decisions.
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A student adds about three grams of magnesium chloride to a large beaker of water. After stirring, the magnesium chloride crystals seem to have disappeared, and the liquid is clear.
The student has prepared
A.
a heterogeneous mixture.
B.
a pure substance.
C.
a homogeneous mixture.
D.
a chemical reaction
The student has prepared a homogeneous mixture. Option C is correct.
What are a heterogeneous mixture and a homogenous mixture?When a mixture's composition is not consistent throughout, it is said to be heterogeneous. Example oil and water.
Mixtures that are homogeneous have a consistent structure or makeup. For example salt in water.
When magnesium chloride is dissolved in water, it completely disappears. So, the uniform composition of the solution is formed.
Therefore, the student has prepared a homogeneous mixture.
Hence, option C is correct.
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2.(03.07)
Solve 2x^2 - 8x = -7. (2 points)
Answer:
Step-by-step explanation:
Make a quadratic:
2\(x^{2}\)-8x+7=0
Then use quadratic formula to solve.
It would be x= 2 ± \(\frac{2}{\sqrt{2} }\)
Consider this equation.
Answer:
B
Step-by-step explanation:
given
tanΘ = \(\frac{3\sqrt{5} }{2}\) = \(\frac{opposite}{adjacent}\)
this ratio relates to a right triangle, with hypotenuse h and
legs 3\(\sqrt{5}\) and 2
using Pythagoras' identity in the right triangle
h² = (3\(\sqrt{5}\) )² + 2² = 45 + 4 = 49 ( take square root of both sides )
h = \(\sqrt{49}\) = 7
then
cosΘ = \(\frac{adjacent}{hypotenuse}\) = \(\frac{2}{7}\)
pls ignore the numbers that was another problem :)
3/4 + 1/8 + 1/10 = 39/40
............................................
Answer:
39/40 Please mark my answer the brainliest. It will get me to the next level!
Step-by-step explanation:
4=4, 8, 12, 16, 20, 24, 28, 32, 36, 40
8=8, 16, 24, 32, 40.
10=10, 20, 30, 40.
GCF=40
3/4=30/40
1/8=5/40
1/10=4/40
30+5+4=39
A new park was designed to contain two circular gardens. Garden A has a diameter of 65 m, and B has a diameter of 85 m.
A. If the gardener wants to outline the gardens in edging, how many meters will be needed to outline
the smaller garden? (Write in terms of P.I.E.)
B. How much more edging will be needed for the larger garden than the smaller one?
C. The gardener wishes to put down weed block fabric on the two gardens before the plants are
planted in the ground. How much fabric will be needed to cover the area of both gardens?
The gardener would need 9000π square meters of weed block fabric to cover the area of both gardens.
A. To outline the smaller garden A, the gardener would need to measure the circumference of the circle, which is given by the formula C = πd, where d is the diameter. Therefore, the circumference of garden A would be C = π(65) = 65π meters.
B. To find the difference in edging required between the two gardens, we need to find the difference in their circumferences. The circumference of garden B is C = π(85) = 85π meters. Therefore, the additional edging required for garden B compared to garden A would be 85π - 65π = 20π meters.
C. The area of a circle is given by the formula A = πr^2, where r is the radius. The radius of garden A is 65/2 = 32.5 meters, and the radius of garden B is 85/2 = 42.5 meters. Therefore, the total area of both gardens is:
A_total = π(32.5)^2 + π(42.5)^2
= 3325π + 5675π
= 9000π
Therefore, the gardener would need 9000π square meters of weed block fabric to cover the area of both gardens.
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Create a circle with center P that passes through A. Create two more circles, one passing through B and the other through C. Use the slider again to rotate . As the triangle rotates, what do you observe with respect to the circles you made?`
Answer:
As A'B'C' rotates, each of the vertices moves in a circular arc along one of the three circles.
Step-by-step explanation:
PLATO
Answer:
As A'B'C' rotates, each of the vertices moves in a circular arc along one of the three circles.
Step-by-step explanation:
Solve the following inequality for ff. Write your answer in the simplest form.2f + 4 > -7f + 3
Given the inequality
\(2f+4>-7f+3\)Add 7f on both sides.
\(\begin{gathered} 2f+4+7f>-7f+3+7f \\ 9f+4>3 \end{gathered}\)Add -4 on both sides.
\(\begin{gathered} 9f+4-4>3-4 \\ 9f>-1 \end{gathered}\)Divide by 9 on both sides.
\(f>-\frac{1}{9}\)which is the simplest form.
Can you please help me?
Answer:
\(\frac{20}{36}\)
Step-by-step explanation:
the total amount of squares within this square is 36
and the number of shaded squares would be 20
so if 20 squares out of 36 squares are shaded, then the fraction is
\(\frac{20}{36}\)
or 55.56%
(to find percentage multiply \(\frac{20}{36}\) by 100)
Answer:
5/9
= 55.56% ( to the nearest hundredth).
Step-by-step explanation:
The total number of little squares in the large square = 6*6 = 36.
Total number of shaded squares = 2*6 + 2*4
= 12 + 8 = 20.
So the fraction of shaded part
= 20/36
= 5/9.
As a percentage this is 5*100/9
= 55 5/9%
= 55.55..... %
2x-10
factor out........
Answer:
2 x-5
Step-by-step explanation:
Help urgently pleaseee I need it now
Answer:
4:
\(3x + 6y = 12 \\ 6y = - 3x + 12 \\ y = - 0.5y + 2 \\ m = - 0.5 \\ b = 2\)
5 :
NR:
N=(-2,3)
-2×-0.5+2=1+2=3✓
R=(2,1)
2×-0.5+2=1✓
How many degrees are inside of a convex 22-gon?
1800
1980
1080
3600
Thuli wants to buy TV R8 500 A bank offers to loan her the money at an interest of 5 percent she decide to pay her TV off 3 years. Calculate the simpled interest she will have to pay also calculate the total she will pay
The simple interest she will have to pay equals R 1275, and the total she will pay equals R 9775 for her TV over the past 3 years.
Thuli wants to buy TV, and a bank offers to loan her the money at an interest rate.
Principal, P = R 8,500
Interest Rate, R = 5%
Time, t = 3 year
Simple interest is defined as an interest charge that borrowers pay their lenders for a loan. It is calculated using the principal only. Formula for SI is written as SI = (P×T×R)/100
Here, SI = Simple interest
P = Principal (sum of money borrowed)
R = Rate of interest p.a
T = Time (in years)
We have to calculate simpled interest she will have to pay also calculate the total she will pay.
So, Simple interest = (8500×3×5)/100
= 85× 15 = R 1275
Now, total she will have to pay = Principle + SI
= 8500 + 1275
= R 9775
Hence, required total she will pay is R9775.
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Can u guys PLEASE answer this question ASAP.
THIS IS EXTREMELY URGENT
Answer:its upside down sir
Step-by-step explanation: