Answer:
D
Step-by-step explanation:
Do rise/run (1/3), so D.
Peter has 96 stamps and Sam has 63. How many stamps should Sam give Peter so that Peter will have twice as many stamps as Sam? equation please
Answer:15
Step-by-step explanation:
96÷2=48
63-48=15
So Sam should give Peter 15 of his stamps so that Peter will have twice as many stamps as him.
Answer:
10 stamps
Step-by-step explanation:
Let n = the number of stamps Sam gives Peter.
63 - n is the number stamps Sam has after giving some of them to Peter.
Peter starts with 96 stamps.
After Sam gives Peter n stamps, Sam will have 96 + n stamps.
2(63 - n) = 96 + n
126 - 2n = 96 + n
-3n = -30
n = 10
Answer: 10 stamps
among the six who are taking the test for the first time. (a) What kind of a distribution does X have (name and values of all parameters)? nb(x;6, 18
8
)
h(x;6,8,18)
h(x;6, 18
8
)
b(x;6, 18
8
)
b(x;6,8,18)
nb(x;6,8,18)
(b) Compute P(X=2),P(X≤2), and P(X≥2). (Round your answers to four decimal places.) P(x=2)=1
P(x≤2)=1
P(x≥2)=
(c) Calculate the mean value and standard deviation of X. (Round your answers to three decimal places.) mean individuals standard deviation individuals
The distribution for X is a negative binomial distribution, denoted as nb(x;6, 188), with parameters r = 6 (number of successes), p = 8/18 (probability of success in each trial).
To compute the probabilities:
P(X = 2): nb(2;6, 8/18)
P(X ≤ 2): nb(0;6, 8/18) + nb(1;6, 8/18) + nb(2;6, 8/18)
P(X ≥ 2): 1 - P(X < 2) = 1 - P(X ≤ 1)
To calculate the mean value and standard deviation of X:
Mean (μ) = r * (1 - p) / p
Standard Deviation (σ) = sqrt(r * (1 - p) / (p^2))
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After a 6-mg injection of dye into a heart, the readings of dye concentration at two-second intervals are as shown in the table. Use Simpson's Rule to estimate the cardiac output.
t c(t) t c(t)
0 0 14 4.7
2 1.9 16 3.3
4 3.3 18 2.1
6 5.1 20 1.1
8 7.6 22 0.5
10 7.1 24 0
12 5.8
Using Simpson's Rule, the cardiac output can be estimated by approximating the area under the curve formed by the dye concentration readings at two-second intervals.
Simpson's Rule is a numerical method used to approximate definite integrals by dividing the interval into subinterval and applying a weighted average of function values. In this case, we have the time (t) and dye concentration (c(t)) readings at two-second intervals.
To estimate the cardiac output, we need to find the integral of the concentration function over the given time interval. Simpson's Rule can be applied by dividing the interval into subintervals (in this case, 0-12 seconds) and using the given function values to calculate the approximate integral.
By applying Simpson's Rule to the given data, the cardiac output can be estimated by calculating the weighted average of the function values and multiplying it by the width of the subintervals.
Please note that since the table is incomplete, providing the exact calculation and result of the cardiac output is not possible without additional data.
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The us bureau of labor statistics forecasts that the number of computer and support specialist positions in the us will grow about___% over the next 10 years.
The US bureau of labor statistics forecasts that the number of computer and support specialist positions in the US will grow by about 9% over the next 10 years.
This is further explained below.
What is the US bureau of labor statistics?Generally, The United States Department of Labor's Bureau of Labor Statistics (BLS) is a government organization that is responsible for collecting and disseminating different statistics pertaining to the economy and labor market of the United States. Both the Consumer Price Index (CPI) and the Producer Price Index (PPI) are key gauges of inflation, and they are both included in the publications that this organization produces.
In conclusion, The Bureau of Labor Statistics of the United States projects that the number of jobs available for computer and support specialists in the United States will increase by around 9% over the course of the next ten years.
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Ibrar bought a house for £250,000
The value of the house depreciated by 2% in the first year.
The value of the house depreciated by 0.6% in the second year.
Ibrar says,
"2 + 0.6 = 2.6 so in two years the value of my house depreciated by 2.6%"
Is Ibrar right?
You must give a reason for your answer
Step-by-step explanation:
nope!
because the value has increased 6%*102%=6.12% in second year which we have 8.12% i total
if the alpha level is changed from 0.05 to 0.01, what effect does this have on beta?
Answer:
beta increases
Step-by-step explanation:
Please help geomatry 9th grade
The statements that are a result of corresponding parts of congruent triangles being congruent are:
EFGH has four congruent sidesDiagonal FH is perpendicular to side FEAngle FEH is congruent to angle FGHWhat is an isosceles triangle?An isosceles triangle is a type of triangle with two equal sides and angles. The other types of triangle includes;
Equilateral triangleRight angle triangleScalene triangleFrom the figure;
Sides EFGH are congruent, that is, equal
Since Sides EFGH are congruent, it can not be a rectangle, it is a square.
Triangle FGH and FEH are both isosceles triangle.
Diagonal FH bisects triangle FGH and FEH
So therefore, the isosceles triangle FGH and FEH are congruent and bisected by diagonal FH.
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a poll is given, showing 61% are in favor of a new building project. let x be the number of people who favor the new building project when 25 people are chosen at random. what is the distribution of x? x ~ ? (,) please show the following answers to 4 decimal places. what is the probability that exactly 16 people out of 25 favor the new building project? what is the probability that at least 16 people out of 25 favor the new building project? what is the probability that at most 16 people out of 25 favor the new building project? what is the probability that between 12 and 19 (including 12 and 19) people out of 25 favor the new building project?
The probability that exactly 16 people out of 25 favor the new building project is 0.1285.
The probability that at most 16 people out of 25 favor the new building project is 0.3528.
The probability that between 12 and 19 (including 12 and 19) people out of 25 favor the new building project is 0.9088.
A binomial distribution is a probability distribution that describes the number of successes in a fixed number of trials, where each trial has two possible outcomes (success or failure) and the trials are independent.
The distribution of x, the number of people who favor the new building project when 25 people are chosen at random, can be modeled using a binomial distribution.
In this case, the probability of success (favoring the new building project) is 0.61, and the probability of failure (not favoring the project) is 0.39. The number of trials is 25, since we are choosing 25 people at random.
Thus, we can write x ~ Bin(25, 0.61), which means that x follows a binomial distribution with 25 trials and a probability of success of 0.61.
To find the probability that exactly 16 people out of 25 favor the new building project, we can use the binomial probability formula:
\(P(X = k) = (^n_k) * p^k * (1 - p)^{n - k}\)
where X is the random variable (in this case, the number of people who favor the project), k is the number of successes we are interested in (in this case, 16), n is the number of trials (25), p is the probability of success (0.61), and (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes out of n trials.
Plugging in the values, we get:
P(X = 16) = (25 choose 16) * 0.61¹⁶ * 0.39⁹ = 0.1285
Therefore, the probability that exactly 16 people out of 25 favor the new building project is 0.1285.
To find the probability that at least 16 people out of 25 favor the new building project, we need to add up the probabilities of all the events where the number of successes is 16 or greater. We can do this using the cumulative distribution function (CDF) of the binomial distribution, which gives us the probability of X being less than or equal to a certain value.
Using a calculator or a table, we can find that P(X ≥ 16) = 0.3528.
Therefore, the probability that at least 16 people out of 25 favor the new building project is 0.3528.
To find the probability that at most 16 people out of 25 favor the new building project, we can use the complement rule, which states that the probability of an event occurring is equal to 1 minus the probability of its complement (the event not occurring). In this case, the complement event is the number of people who favor the project being greater than 16.
Using the same CDF, we can find that P(X > 16) = 0.6472. Therefore,
P(X ≤ 16) = 1 - P(X > 16) = 1 - 0.6472 = 0.3528
We can do this using the binomial probability formula for each possible value of k, and then summing the results.
P(12 ≤ X ≤ 19) = P(X = 12) + P(X = 13) + ... + P(X = 19)
Using a calculator or a table, we can find the probabilities for each value of k, and then add them up:
P(12 ≤ X ≤ 19) = 0.0309 + 0.0746 + 0.1322 + 0.1821 + 0.2001 + 0.1821 + 0.1322 + 0.0746 = 0.9088
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Two rectangles are similar. If the height of the first rectangle is 3 inches, and the height of the second rectangle is 9 inches, by what factor was the first rectangle changed?
Answer:
3.2
Step-by-step explanation:
3.2/1
In the accompanying diagram of ASRT, LM || RT. If SL = 4, LR = 3, and RT = 21, find LM. S L R T
Given data:
The first given length is SL=4 units.
The second given length is LR=3 units.
The thi
my parents started a small farm after they retired. on their farm, they have chickens and pigs. in total, there are 40 animal legs among the chickens and the pigs, and there are 16 animal heads. how many chickens do my parents have?
Let's use "x" for the quantity of hens and "y" for the quantity of pigs.
A farm has 11 chickens, thus 2x + 4y = 40, x + y = 16.
What exactly does the term "farm" mean?a plot of land, sometimes along with a house and other structures, that is used for raising crops or rearing animals. A cow or mink farm is an example of a location where a particular kind of animal is raised in great numbers for sale.
How come it's called a farm?It was typical in the late Middle Ages to rent or lease land suitable for farming for a set monetary sum rather than a proportion of the crop. The amount that needed to be paid was referred to as ferme, or, in Modern English,farm.
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a) Solid obtained by rotating the region bounded by y = r2 and y = 2, about the axis y = -2. b) Solid obtained by rotating the region bounded by y = VT, y=1, 1 = 4, about the axis r=-1.
The solid obtained by rotating the region bounded by y = r^2 and y = 2 about the axis y = -2 would be a three-dimensional shape with a hole in the middle. The axis of rotation is the line y = -2, which means that the solid will be formed by rotating the given region around this axis. The resulting shape will have a cylindrical section and two hemispherical sections on either end. The cylinder will have a height of 4 and a radius of 2, while the hemispheres will have radii of 2 and 4, respectively.
b) The solid obtained by rotating the region bounded by y = Vx, y = 1, and x = 4 about the axis r = -1 would be a three-dimensional shape with a conical section and a cylindrical section. The axis of rotation is the line r = -1, which means that the solid will be formed by rotating the given region around this axis. The resulting shape will have a cone-shaped section with a height of 4 and a base radius of 4, as well as a cylindrical section with a height of 1 and a radius of 4.
a) The solid obtained by rotating the region bounded by y = x^2 and y = 2 about the axis y = -2 is a parabolic cylinder. This is formed when the parabolic region between the two given functions is rotated around the specified axis, creating a three-dimensional shape with parabolic cross-sections.
b) The solid obtained by rotating the region bounded by y = √x, y = 1, x = 4, about the axis x = -1 is a torus-like shape. This is formed when the region enclosed by the square root function, the horizontal line at y = 1, and the vertical line at x = 4 is rotated around the specified axis, creating a donut-like shape with varying thickness.
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In Miss Ericksen's class, there are 18 boys and 15 girls. What is the ratio of boys to girls in Miss Ericksen's class? Simplify your answer.
Answer:
6:5
Step-by-step explanation
boys : girls
= 18 : 15
Now time to simplify:
18/3: 15/3
= 6:5
A square wooden plaque has a square brass inlay in the center, leaving a wooden strip of uniform width around the brass square. If the ratio of the brass area to the wooden area is 25 to 39, which of the following could be the width, in inches, of the wooden strip?
I. 1
II. 3
III. 4
a. I only
b. II only
c. I and II only
d. I and III only
e. I, II , and III
If you have the following data about a box of candy bars,
about how many candy bars are estimated to be in the
box?
Mass of Candy Bars + Box=4795 grams
Mass of 12 Candy Bars = 493 grams
Mass of Box ONLY = 328 grams
How many candy bars are in the box?
Round your answer by using significant figures.
Candy Bars in Box
The number of candy bars in the box, given the mass of the candy bars and the mass of the box is 109 candy bars.
How to find the number of candy bars?First, find the mass of a single candy bars by the formula :
= Mass of 12 candy bars / 12
= 493 / 12
= 41. 08 g
The number of candy bars would be:
= ( Mass of candy bars + Box - Mass of box only ) / Mass of single candy bar
= ( 4, 795 - 328 ) / 41. 08
= 109 candy bars
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What is the value of x in the equation -X = 3 - 4x + 6?
0-9
0-3
03
09
Answer:
x=3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
I took the test!
A spherical helium-filled balloon with a diameter of 30 centimeters can lift a 14-gram object. Find the size of a balloon that could lift a person who weighs 65 kilograms. Round to the nearest tenth.
The diameter of the balloon that can lift a person weighing 65Kg is 299.72 cm.
To get the diameter of the balloon that can lift a person weighing 65 Kg, we need to know the volume which this diameter will occupy
Since, density is constant, what will change will be the volume and the weight.
Hence, the ratio of the volume to the weight at any point in time irrespective of the weight and volume will be the same.
With a 30cm diameter, the volume that can be lifted would be the volume of a sphere with diameter 30cm. If the diameter is 30, then the radius is 15.
The volume of a sphere = 4/3 × π× 15³ = 4/3 × π × 15³ = 1125π
So, what this means is that, a spherical helium balloon of size 1125π can lift a person weighing 14 gram object .
Now, let the radius of the balloon that can lift a person of weight 65 Kg be x feet
The needed volume is thus 4/3 × π× x³ = 4π * x³/3
Now let's make a relationship;
A volume of 1125π lifts 14 gram
A volume of 4π *x³/3 lifts 65 Kg pounds
To get x, we simply use a cross-multiplication;
1125π × 65 = 4π * x³/3 × 0.014
x = 149.86 cm
Since the radius is 149.86cm, the diameter will be 2 × 149.86 = 299.72 cm.
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HELP ILL GIVE YOU 47 POINTS
Jose can type 150 words in 3 minutes. How many words per minutes can Jose type?
Answer:
50 words
Step-by-step explanation:
Jose type 150 words in 3 minutes
In one minute Jose types = 150/3 words
In one minute Jose types = 50 words
Answer: 50 words per minute
Step-by-step explanation: 150 divided by 3 is 50
A. 66 degrees
B. 114 degrees
C. 24 degrees
Answer:
66 degrees
Step-by-step explanation:
Hope it helps :)
Brainliest pls? Have a good day/night
Answer:
? = 66°
Step-by-step explanation:
? and 66° are alternate exterior angles and congruent , thus
? = 66°
Find the measure of the missing angles.
Answer: 72
Step-by-step explanation:
b + 108 = 180
b = 180 - 108
b = 72 = c
factorise
x² + 5x - 14
Is the relationship between the height of a tree in the time since the trees planted linear or unconnected points
Answer:
Linear
Step-by-step explanation:
Growth has a linear increase
Answer:
Step-by-step explanation:
This relationship is roughly linear. Trees do gain height over time, bue eventually their growth slows or stops.
The height function has a y-intercept, representing the initial height of the tree when it is purchased.
A bookshelf has 96 books. 64 of the books are fiction and the rest are non-fiction. (a) What fraction of the books are fiction? Give your answer in its simplest form. (b) What fraction of the books are non-fiction?
(a) The fraction of books that are fiction is 2/3.
(b) The fraction of books that are non-fiction is 1/3.
To find the fraction of fiction and non-fiction books on a bookshelf:
Given: A bookshelf has 96 books. 64 of the books are fiction and the rest are non-fiction books. (a)Fraction of fiction books =?
(b)Fraction of non-fiction books =?
Now,
As given, we have,
The total number of books on a bookshelf = 96
Out of 96, the total number of fiction books = 64
So,
The remaining number of books = non-fiction books = 96-64 = 32
(a) Fraction of fiction books = fiction books/total books
= 64/96
On simplification,
= 2/3
(b) Fraction of non-fiction books = non-fiction books/total books
= 32/96
= 1/3
Therefore, the fraction of fiction and non-fiction books is 2/3 and 1/3 respectively.
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Round 27,850 to the nearest thousand.
Answer:
28000
Step-by-step explanation:
round up if number is greater than 5
You play a gambling game with a friend in which you win 25% of the time and lose 75% of the time. When you lose, you lose $1. What profit should you earn when you win, in order for the game to be fair?.
Therefore, to make the game fair, you should earn a profit of $3 when you win.
To determine the profit you should earn when you win in order for the game to be fair, we need to consider the overall expected value.
In this gambling game, you win 25% of the time and lose 75% of the time. Let's assume that when you win, you earn a profit of P dollars. When you lose, you lose $1.
The expected value can be calculated as follows:
Expected Value = (Probability of Winning * Profit) + (Probability of Losing * Loss)
Since the game should be fair, the expected value should equal zero. Thus, we can set up the equation:
0 = (0.25 * P) + (0.75 * (-1))
Simplifying the equation:
0 = 0.25P - 0.75
0.75 = 0.25P
P = 0.75 / 0.25
P = 3
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On Monday, ALL the Grade 7 students either bought their lunch at the canteen or brought their lunch from home. Given that 20% of the students bought their lunch at the canteen and 116 students brought lunch from home, how many students are in Grade 7?
Answer:
145
.8x = 116 (80% of class is 116)
x=145
Step-by-step explanation:
ANSWER ASAP PLEASE .
Answer:
a,d,e and f.
Step-by-step explanation:
hope this helps!
please mark me as brainliest. Thanks!
Suppose a city with population 600,000 has been growing at a rate of 8% per year. If this rate continues, find the population of this city in 20 years.
Which number is rational?
√2
10
016
The ratios of the tomatoes to red apples is 2:5. If there are 20 tomatoes how many red apples are there
Answer: 50 red apples
Step-by-step explanation:
First divide 20 by 2 to know what you will multiply 5 by, so 20 divided by 2 equals 10. Now you multiply 5 by 10 to know how many red apples there are. 5 multiplied by 10 equals 50. So there are 20 tomatoes and 50 red apples.
Answer:
50.
Step-by-step explanation:
10 x 2 = 20 tomatoes
10 x 5 = 50 apples
So the answer to this problem would be 50 apples.
Hope this helps! <3