\(\dfrac t{2.7} = \dfrac{4}{3.6}\\\\\\\implies t = \dfrac{ 4 \times 2.7}{3.6} \\\\\\\implies t = \dfrac{ 4 \times 27 \times \tfrac 1 {10}}{36 \times \tfrac 1{10}}\\\\\\\implies t = \dfrac{4 \times 27}{4 \times 9 }\\\\\\\implies t =\dfrac{27}9\\\\\\\implies t = 3\)
A card is drawn at random out of a well-shuffled deck of 52 cards.
Find the probability of drawing a card thats not
ten
Reasoning:
There are 4 cards labeled "10" out of 52 total.
52-4 = 48 cards are not labeled "10"
48/52 = 12/13
Another way to think about it: There are 12 cards not labeled "10" in any particular suit. There are 13 cards in a given suit. So that's another way to arrive at 12/13
12/13 = 0.923077 approximately
Six hundred consumers were asked whether they would like to purchase a domestic or a foreign automoblie. Their reponses are given. domestic 240 foreign 360. Develop a 95% confidence interval for the proportion of all consumers who prefer to purcahse domestic automobiles
we can say with 95% confidence that the proportion of all consumers who prefer to purchase domestic automobiles is between 0.354 and 0.446.
To develop a 95% confidence interval for the proportion of all consumers who prefer to purchase domestic automobiles, we can use the formula:
CI = p ± z*(√(p*(1-p)/n))
where:
p = proportion of consumers who prefer domestic automobiles = 240/600 = 0.4
n = sample size = 600
z = z-score for 95% confidence level = 1.96
Plugging in the values, we get:
CI = 0.4 ± 1.96*(√(0.4*(1-0.4)/600))
= 0.4 ± 0.046
= (0.354, 0.446)
Therefore, we can say with 95% confidence that the proportion of all consumers who prefer to purchase domestic automobiles is between 0.354 and 0.446.
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PLEASE HEEEEEEEEELP ME............
Answer:What do you need help with? My name is woods245 and whatever you need help with?
Step-by-step explanation:
Nine friends share 8 bags of trail mix equally.what fraction of a bag of trail mix does each friend get?
Answer:
By doing 3 divided by 5, you will get 3/5 of trail mix per person.
Step-by-step explanation:
The fraction of a bag of trail mix each friend gets will be 8/9.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Nine friends share 8 bags of trail mix equally.
Then the fraction of a bag of trail mix each friend gets will be given by the division of the number 8 by 9. Then the fraction is given as,
⇒ 8 / 9
The fraction of a bag of trail mix each friend gets will be 8/9.
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write each equation in vertex form. then identify the vertex, axis of symmetry and direction of opening. y=x^2+8x+\:18 , y=-\:x^2\:\:12x\:-\:36 and y=2x^2\:+\:12x\:+\:13
The equation in vertex form is y = 2(x+3)² + 1. The vertex is (-3,1), the axis of symmetry is x = -3, and the direction of opening is upwards.
The vertex form of the equation is y = a(x-h)^2 + k, where (h, k) is the vertex. The axis of symmetry is x = h, and the direction of opening is determined by the value of a.
Using this formula, let us write each equation in vertex form and then identify the vertex, axis of symmetry, and direction of opening.
1. y = x² + 8x + 18
To write this equation in vertex form, we need to complete the square. y = x² + 8x + 18 is equivalent to y = (x+4)² - 2. Therefore, the equation in vertex form is y = (x+4)² - 2.
The vertex is (-4,-2), the axis of symmetry is x = -4, and the direction of opening is upwards.2
. y = -x² - 12x - 36To write this equation in vertex form, we need to complete the square. y = -x² - 12x - 36 is equivalent to y = -(x+6)² - 12. Therefore, the equation in vertex form is y = -(x+6)² - 12.
The vertex is (-6,-12), the axis of symmetry is x = -6, and the direction of opening is downwards.3. y = 2x² + 12x + 13To write this equation in vertex form, we need to complete the square. y = 2x² + 12x + 13 is equivalent to y = 2(x+3)² + 1.
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Kyle missed 3 questions on the math exam. If he missed 15% of the questions, how many questions were on the exam all together?
Answer:
There were 20 questions on the test.
Hope this helps!
If line m is perpendicular to line n, and the slope of line m is -5/3, what is the slope of line n? Write in simplest form.
Answer:
Step-by-step explanation:
Slope of perpendicular line = \(\frac{-1}{m}\)
= -1 ÷ \(\frac{-5}{3}\)
\(= -1 *\dfrac{-3}{5}\\\\=\dfrac{3}{5}\)
A sphere is inscribed in a cube with edge length 9 inches. Then a smaller cube is inscribed in the sphere. How many cubic inches are in the volume of the inscribed cube
To find the volume of the inscribed cube, we need to determine the edge length of the cube first. Let's denote the edge length of the inscribed cube as "x".
In a cube inscribed in a sphere, the diameter of the sphere is equal to the diagonal of the cube. Therefore, the diameter of the sphere is equal to the space diagonal of the large cube, which is given as 9 inches.
The space diagonal of a cube with edge length "a" can be found using the Pythagorean theorem:
Diagonal² = a² + a² + a²
Diagonal² = 3a²
Since the diameter of the sphere is 9 inches, we can write:
3a² = 9²
3a² = 81
a² = 81 / 3
a² = 27
a = √27
a = 3√3
Now we know the edge length of the large cube, which is 3√3 inches. The volume of a cube is given by V = a³, where "a" is the edge length.
Volume of the inscribed cube:
V = (3√3)³
V = 3³ * (√3)³
V = 27 * 3
V = 81 cubic inches
Therefore, the volume of the inscribed cube is 81 cubic inches.
The volume of the cube inscribed in the sphere, given the sphere is inscribed in a cube with an edge length of 9 inches, is 81 cubic inches.
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what does -2/3 slope look like on a graph
On solving the provided question, we can say that the provided slope is -2/3 equation of line 2x + 3y -7 = 0
what is slope?A line's slope determines how steep it is. A mathematical equation for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two spots. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is employed to express it. The y-intercept is located at a location where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).
the provided slope is -2/3
let us assume x1 = 2 and y1 = 1
equation of line =>
y-1 = -2/3(x-2)
y-1 = -2x/3 + 4/3
3y-3 = -2x + 4
2x + 3y -7 = 0
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Given that g(x) = 3x - 5, evaluate g(4 + h)
————
h
Answer:
3h+7/h
Step-by-step explanation:
the parenthesis in g(4+h) is saying that is x. plug in 4+h in the x and evaluate.
so you would get 3(4+h)-5. distribute the 3 and get 12+3h-5. combine like terms to get 3h+7!
then it's just over h because you can't simplify anymore. so the real answer is 3h+7/h!!
Javier earned the following scores on his first five tests: 77, 89, 84, 80, and 85. What score did he earn on his last test to have a test mean of 84%?
84%
88%
86%
89%
Answer:
88
Step-by-step explanation:
it meets the mean
Answer:
88%
Step-by-step explanation:
:)
It takes 76 pounds of seed to completely plant an 11-acre field. How many pounds of seed are needed per acre?
Answer:
6 pounds and 9 ounces
or 7 pounds when rounded
Consider two mugs. The first contains two white and seven black balls, and the second contains five white and six black balls. We flip a fair coin and then draw a ball from the first mug or the second mug depending on whether the outcome was heads or tails, respectively. What is the conditional probability that the outcome of the toss was heads given that a white ball was selected
The conditional probability that the outcome of the coin toss was heads can be calculated using Bayes' theorem. The conditional probability that the outcome of the toss was heads given that a white ball was selected is 26/63.
Let's denote H as the event that the outcome of the coin toss was heads, and W as the event that a white ball was selected. We want to find P(H|W), the probability of the coin toss being heads given that a white ball was selected.
According to Bayes' theorem, we have:
P(H|W) = P(W|H) * P(H) / P(W)
P(W|H) is the probability of selecting a white ball given that the outcome of the coin toss was headed. Since the first mug is chosen in this case, which contains two white balls out of a total of nine balls, P(W|H) = 2/9.
P(H) is the probability of the coin toss being heads, which is 1/2 since the coin is fair.
P(W) is the probability of selecting a white ball, regardless of the outcome of the coin toss. There are a total of seven white balls out of thirteen balls (two from the first mug and five from the second mug), so P(W) = 7/13.
Therefore, substituting these values into Bayes' theorem:
P(H|W) = (2/9) * (1/2) / (7/13)
Simplifying this expression:
P(H|W) = 26/63
Therefore, the conditional probability that the outcome of the toss was heads given that a white ball was selected is 26/63.
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Which of the following relations is not a function?
{(0, 0), (1, 0), (2, 0)}
{(1, 2), (3, -5), (-1, 7)}
{(7, -1), (3, -2), (5, -2)}
{(-1, 3), (4, 2), (-1, 5)}
Answer:
Is: {(-1,3), (4, 2), (-1, 5)}
Step-by-step explanation:
Because the domain have 2 numbers are the same which is (-1) so that's not a function
Answer:
The answer is the last one (-1,3), (4,2), (-1,5) Hope this helps!
why is it not showing the graph
Answer:
I think you need to upload an image of the graph you can screenshot it
Step-by-step explanation:
please show calculations
Answer:
i can't understand can u show it carefully
You may need to use the appropriate appendix table to answer this question.
Given that z is a standard normal random variable, compute the following probabilities. (Round your answers to four decimal places.)
(a)
P(−1.98 ≤ z ≤ 0.45)
(b)
P(0.52 ≤ z ≤ 1.22)
(c)
P(−1.55 ≤ z ≤ −1.02)
To compute the given probabilities involving the standard normal random variable z, we can use the standard normal distribution table.
What is the probability P(−1.98 ≤ z ≤ 0.45)?To find the probability P(−1.98 ≤ z ≤ 0.45), we need to look up the corresponding values in the standard normal distribution table. The table provides the area under the standard normal curve up to a given z-value.
First, we find the area to the left of z = −1.98 in the table, which is 0.0239. Then, we find the area to the left of z = 0.45, which is 0.6736. To find the desired probability, we subtract the smaller area from the larger one: P(−1.98 ≤ z ≤ 0.45) = 0.6736 - 0.0239 = 0.6497.
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Please fill in the three leftover boxes
a function f(z)=u(x,y) iv(x,y) is analytic on a set g answer if the first partial derivatives of u and v satisfy the cauchy-riemann equations on g.
A function f(z) = u(x, y) + iv(x, y) is considered analytic on a set G if the first partial derivatives of u and v satisfy the Cauchy-Riemann equations on G.
The Cauchy-Riemann equations are given by:
1. ∂u/∂x = ∂v/∂y
2. ∂u/∂y = -∂v/∂x
To determine if the function is analytic on G, follow these steps:
1. Calculate the first partial derivatives of u with respect to x and y, denoted as ∂u/∂x and ∂u/∂y.
2. Calculate the first partial derivatives of v with respect to x and y, denoted as ∂v/∂x and ∂v/∂y.
3. Check if the calculated partial derivatives satisfy the Cauchy-Riemann equations mentioned above.
4. If both equations are satisfied, the function f(z) is analytic on the set G.
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Question In Picture. Please look in picture.
4 3/8.
That's how this equation looks in mixed number form.
Answer:
\( \frac{35}{8} \: \: is \: equal \: to \: 4 \frac{3}{8} \)
William travels only on Saturdays and Sundays and has flown 1,020 miles this month. Jason travels every weekday and has flown 2,200 miles this month. If each man travels about the same number of miles each day, who travels more miles per day for this month? Explain.
Answer:
William
Step-by-step explanation:
There are 8 Saturday and Sunday in a month. William travels only on Saturdays and Sundays and has flown 1,020 miles this month. He has travelled (1020/8) miles per day = 127.5 miles/day
There are 30-8 = 22 weekdays in a month. Jason travels every weekday and has flown 2,200 miles this month. It would mean that he travelled (2200/22) = 100 miles/day.
It is very clear that no of miles travelled per day by William is more than the no of miles travelled per day by Jason for this month.
dave plays basketball 3 out of the 5 weekdays. how many possible schedules are there to play basketball on wednesday or monday or both?
There are 9 possible schedules to play basketball such that dave can play on monday or wednesday or both which is union of two set .
so this question seems like we have to take union of ways of palying on monday or wednesday
let n(m) be number of ways of playing on monday
n(w) be number of ways of playing on wednesday
we have to find n(m∪w)
n(mUw) = n(m) +n (w) - n(m∩ w)
so n(m) = \(4_C__2\) as one day is now fixed which is monday so we have 4 available days and 2 days to play.
n(m) = \(4_C__2\) = 6
similary n(m) = n(w) = 6
now n(m∩w) = \(3_C__1\) as now we have 2 fixed day and we have 3 day remaining and only one day to play.
n(m∩w) = \(3_C__1\) =3
now n(mUw) = n(m) +n (w) - n(m∩ w)
=> 6 + 6 -3
=> 12 - 3
so n(mUw) = 9
so we have 9 schedules to paly keeping condition given in the question.
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Find the missing coordinate.
x = cos t
y = sin t
(-1, [?])
how many combinations from 4 entrees, 6 vegetables, and 6 deserts if you can pick only 1 entree,2 vegetables, and 1 desert
There are 144 combinations of 1 entree, 2 vegetables, and 1 dessert that can be selected from 4 entrees, 6 vegetables, and 6 desserts.
To determine the number of combinations, we multiply the number of options for each category.
For the entree, we have 4 options to choose from.
For the vegetables, we need to select 2 out of 6, which can be done in 6 choose 2 ways.
This is calculated as 6! / (2!(6-2)!), which simplifies to
6! / (2!4!)
Similarly, for the dessert, we have 6 options to choose from.
To calculate 6 choose 2, we can use the formula for combinations:
n choose r = n! / (r!(n-r)!).
Plugging in the values, we have
6! / (2!4!) = (6 × 5 × 4 × 3 × 2 × 1) / [(2 × 1) × (4 × 3 × 2 × 1)] = 15.
Therefore, we have 4 options for the entree, 15 options for the vegetables, and 6 options for the dessert.
Multiplying these numbers together, we get 4 × 15 × 6 = 144.
Therefore, there are 144 possible combinations of 1 entree, 2 vegetables, and 1 dessert, given the options of 4 entrees, 6 vegetables, and 6 desserts.
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Simplify the expression. (x)^3(−x^3y)^2
Answer:
-x⁹y²
Step-by-step explanation:
(x)^3(−x^3y)^2
x^3(-x^3y)²Applying distribution property,
-x⁹y²In which part of the graph is the distance from home constant?
Distance from home
5
4
Time
O A. 4
O B. 2.
O C. 3
O D. 1
What is the fuction rule this table
The table values using function rule y = -10x - 2 is (8,-2,-12,-52)
Given function
y = -10x - 2
From the table
x = -1 , 0 , 1 , 5
substitute x values in function
if x = -1
y = -10x - 2
= -10(-1) - 2
= 10 - 2
y = 8
if x = 0
y = -10(0) -2
y = -2
if x = 1
y = -10(1) - 2
y = -12
if x = 5
y = -10(5) -2
y = -52
y values (8,-2,-12,-52)
Table:
x y
-1 8
0 -2
1 -12
5 -52
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My mom has grounded me and I need a better grade ASAP please help
Answer:
p = 11
Step-by-step explanation:
This Question tests on the concept of Angle Properties.
Given from the diagram above, we can form up a equation:
4p + 7 + 90 + 3p + 6 = 180 (Sum of Angles in a Triangle)
Now we can solve for p from the equation.
\(4p + 7 + 90 + 3p + 6 = 180 \\ 7p + 103 = 180 \\ 7p = 180 - 103 \\ 7p = 77 \\ p = \frac{77}{7} = 11\)
the list shows the weight in pounds of 6 puppies at birth. 3, 1.6, 2.8, 2.5, 1.7, 2.8 what is the mean absolute deviation of these numbers?
A weather forecaster says that the temperature is changing at a rate of -8° per hour. At this rate, how long will it take for the temperature change to be -24°? It will take _____ hours for the change in temperature to be -24
The transition to -24 degrees will take three hours .The balance between energy coming into and going out of the planet's system determines its temperature.
What influences how the temperature fluctuates?The balance between energy coming into and going out of the planet's system determines its temperature. The Earth warms up when incoming solar energy is absorbed by the Earth system. Earth does not warm as a result of solar energy being reflected back into space. Earth cools as energy that has been absorbed is ejected back into space.Since 1880, the Earth's average temperature has increased by 0.14° F (0.08° C) every decade; however, since 1981, the pace of warming has increased by 0.32° F (0.18° C) per decade, or more than twice as fast. Using NOAA's temperature data, 2021 ranked as the sixth-warmest year ever.Explanation:
-8% / -24 = 3.
The transition to -24 degrees will take three hours.
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