Answer:
The slope of the line is -1/4. To find the slope of the line, we can use the formula m = (y2 - y1)/(x2 - x1). In this case, y2 = 2, y1 = 3, x2 = 4, and x1 = 0. Plugging these values into the formula gives us m = (2 - 3)/(4 - 0) = -1/4.
how to solve −13x + 46 > −45
Inequality: In mathematics, an inequality is a statement that compares two values, expressions, or quantities using a relation symbol such as "greater than" (>), "less than" (<), "greater than or equal to" (≥), "less than or equal to" (≤), or "not equal to" (≠). An inequality indicates that the values or expressions being compared are not equal.
Combining like terms: In algebra, combining like terms refers to the process of simplifying an expression by adding or subtracting terms that have the same variable raised to the same power.
Inverse operations to isolate: In algebra, inverse operations are operations that undo each other. For example, addition and subtraction are inverse operations, as are multiplication and division. To isolate a variable in an equation or inequality, you can use inverse operations to undo the operations that are being performed on the variable.
To solve the inequality -13x + 46 > -45, you need to isolate the variable (x) on one side of the inequality.
1. First, you can subtract 46 from both sides of the inequality to get:
[tex]-13x > -91[/tex]
2. Then, divide both sides of the inequality by -13 (remember that when you divide or multiply by a negative number, you need to flip the inequality sign) to get:
[tex]x < 7[/tex]
Therefore, the solution to the inequality is x < 7. To check, you can substitute any value less than 7 into the inequality to see if it's true. For example, if you plug in x = 5, you get:
[tex]-13(5) +46 > -45[/tex]
[tex]-19 > -45[/tex]
This is true, so x < 7 is indeed a valid solution to the inequality.
the wallow fire of 2011 burned 538,000 acres in eastern arizona. a. [4 pts] if one square mile is 640 acres, how many square miles did the fire burn? (you must use unit fractions. round to 1 decimal place and be sure to include units.)
839 square miles of land was burned by the fire.
To determine how many square miles the Wallow Fire burned in 2011, we can divide the total number of acres burned by the number of acres in one square mile.
538,000 acres / 640 acres per square mile = 839 square miles
Therefore, the Wallow Fire burned approximately 839 square miles of land in eastern Arizona. This was a devastating wildfire that caused significant damage to the environment and local communities. The fire started on May 29, 2011, and was not fully contained until July 8, 2011. The cause of the fire was determined to be human-caused, and it serves as a reminder of the importance of being cautious and responsible with fire in areas prone to wildfires.
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if you spun the spinner 1 time,what is the probability it would land on either a black piece or a white piece?
Answer:
50% If there's only black and white pieces. If there's more, please mention them.
Using these estimated values, the mass of the African elephant is about 3 × 1 0 � 3×10 m times the mass of the silverback gorilla, where � m is an integer.
The mass of African elephant is 30 times of Silverback gorilla, so, the value of m is found to be 30 which is an integer.
The mass of an African elephant is about 6 x 10⁶ grams. The mass of a silverback gorilla is about 2 x 10⁵ grams. Solution using unitary method,
Mass of elephant = 6 x 10⁶ grams
Mass of gorilla = 2 x 10⁵ grams
Let us say that m gorillas are weighting equal to one elephant. We need to find the value of m, such that,
6 x 10⁶ = m x 2 x 10⁵
Dividing both sides by 2 x 10⁵, we get:
m = 6 x 10⁶ / 2 x 10⁵
m = 30
Therefore, the value of m is 30.
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Complete question - The mass of an African elephant is 6 x 10⁶ grams. The mass of a silverback gorilla is 2 x 10⁵ grams.
A. Using these estimated values, the mass of the African elephant is about 3 x 10 times the mass of the silverback gorilla, where m is an integer.
What is the value of m?
i need help with this giving 40 points
The correct location of exponential expression on the table is
2 1 1/2
((3 ×2)⁴ × 3⁻³)/ 2³ × 3 (3⁻³ × 2⁻³ × 6³)/ (4⁰)² (2⁴ × 3⁵)/ (2 × 3)⁵
(3² × 4³ × 2⁻¹)/(3 × 4)²
What are exponential expression and how do we solve for them?
Exponential expressions have a base raised to a power, whre the power it has been raise to tells us how many times the base should be multiplied by itself.
Lets simplify each exponential expression
1. ((3 ×2)⁴ × 3⁻³)/ 2³ × 3
= 6⁴ × 3⁻³/ 2³ × 3
= 1296 × 1/27 / 8 × 3
= 48 / 24
= 2
2. (2⁴ × 3⁵)/ (2 × 3)⁵
= 16 × 243 / 6⁵
= 3888 / 7776
= 1/2
3. (3² × 4³ × 2⁻¹)/(3 × 4)²
= (9 × 64 × 1/2) / 12²
= 288 / 144
= 2
4. (3⁻³ × 2⁻³ × 6³)/ (4⁰)²
= 1/27 × 1/8 × 216 / 1²
= 1
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Sarah needs to have a plumber come to her house and fix a leaky faucet in her bathroom The plumber charges $50 to come to her home and an additional $30.75 every hour he works on the job sarah only has $234.50 in her savings for the repair what is the maximum amount of hours that sarah can have the plumber work on her faucet
Answer:
Sarah can have the plumber work on her faucet for six (6) hours maximum
Step-by-step explanation:
The function f from WxW to R satisfying-
f(x,y)= 1/2(f(x+1,y-1) + f(x-1,y+1)) +1 for x>0,y>0
then find ∑[r:1,n] f(r,r+1)
According to the function, the value of ∑[r=1,n] f(r,r+1) is going up to (n-1, n).
This definition tells us how to compute the value of f at any given point (x, y). To do so, we take the average of the values of f at two neighboring points, namely (x+1, y-1) and (x-1, y+1), and then add 1/2 to that average.
Now, we are asked to find the sum of the values of f(r, r+1) for r ranging from 1 to n. In other words, we need to add up the values of the function f at points where the x and y coordinates are consecutive integers, starting from (1, 2) and going up to (n-1, n).
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A lecture class has 30 full-time students and 20 part-time students. A random sample of 10 students is drawn. UseRcommands to answer the following questions: (a) What is the probability that exactly 6 of the students will be full-time? (b) What is the probability that at most 8 of the students will be full-time? (c) Use the binomial approximation that exactly 6 of the students will be full-time, wherep=30/50=0.6. How does this compare to your answer in part a? Is it appropriate to use the binomial approximation in this scenario?
It's important to remember that using the binomial approximation assumes a large population size, which may not be the case here.
To answer your questions, we will use R commands to calculate the probabilities.
(a) To find the probability that exactly 6 of the students will be full-time, we can use the "dhyper" function in R. The parameters are x = 6, m = 30 (number of full-time students), n = 20 (number of part-time students), and k = 10 (sample size).
R command:
```R
dhyper(x = 6, m = 30, n = 20, k = 10)
```
(b) To find the probability that at most 8 of the students will be full-time, we can use the "phyper" function in R, which calculates the cumulative probability. We need to calculate P(X ≤ 8).
R command:
```R
phyper(q = 8, m = 30, n = 20, k = 10)
```
(c) To use the binomial approximation, we can use the "dbinom" function in R with p = 0.6 (probability of full-time student) and n = 10 (sample size). We want to calculate P(X = 6).
R command:
```R
dbinom(x = 6, size = 10, prob = 0.6)
```
Compare this result with the answer in part (a). If the difference is relatively small, it's appropriate to use the binomial approximation in this scenario.
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Need help with Part A and Part B
In a group of people the expected number who wear glasses is two and the variance is 1.6.
Find the probability that
(a) a person chosen at random from the group wears glasses,
(b) six people in the group wear glasses.
The probability that six people in the group wear glasses is at most 0.3646.
We have,
(a)
The expected number of people who wear glasses is 2, so the probability that a person chosen at random from the group wears glasses is.
= 2/total number of people in the group.
We don't know the total number of people in the group, so we can't find the exact probability.
(b)
Let X be the number of people in the group who wear glasses.
X follows a binomial distribution with n = total number of people in the group and p = probability that a person wears glasses
= 2/total number of people in the group.
We know that the variance of X is 1.6,
So the standard deviation of X.
= √(variance)
= √(1.6)
= 1.2649 (rounded to four decimal places).
We want to find the probability that six people in the group wear glasses. That is, P(X = 6).
Using the binomial probability formula, we have:
P(X = 6) = (n choose 6) x p^6 x (1 - p)^(n - 6)
We don't know the value of n, so we can't find the exact probability. However, we can use Chebyshev's inequality to find an upper bound on the probability.
Chebyshev's inequality states that for any random variable X with finite mean mu and finite standard deviation sigma, the probability that X deviates from its mean by more than k standard deviations is at most 1/k². In symbols:
P(|X - mu| > k x sigma) <= 1/k²
Let X be the number of people in the group who wear glasses, with mean mu = np and standard deviation sigma = √(n x p x (1 - p)).
We want to find an upper bound on the probability that six people wear glasses, which means we want to find an upper bound on P(X = 6).
We can rewrite the event {X = 6} as {X - mu = 6 - np}.
Then:
P(X = 6) = P(X - mu = 6 - np)
= P(|X - mu| > |6 - np|)
= 1 / ((6 - np) / sigma)²
We want to find an upper bound on this expression, so we want to minimize (6 - np) / sigma.
Since p = 2/n, we have:
= (6 - np) / sigma
= (6 - 2) / √(n x 2/n (1 - 2/n))
= 4 / √(2n - 4)
This is minimized when n is maximized.
The total number of people in the group must be an integer, so we choose the smallest integer n such that 2/n > 0.5 (since the probability that a person wears glasses is 2/n).
This is n = 5.
Then:
= (6 - np) / sigma
= (6 - 2) / √(5 x 2/5 x (1 - 2/5))
= 4 / √(6)
= 1.63299 (rounded to five decimal places)
So,
P(X = 6) ≤ 1 / (1.63299)² ≤ 0.3646 (rounded to four decimal places)
Thus,
The probability that six people in the group wear glasses is at most 0.3646.
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Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.
The measure of angle x is given as follows:
x = 39.6º.
What are the trigonometric ratios?The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:
Sine of angle = length of opposite side to the angle divided by the length of the hypotenuse.Cosine of angle = length of adjacent side to the angle divided by the length of the hypotenuse.Tangent of angle = length of opposite side to the angle divided by the length of the adjacent side to the angle.For angle x, we have that:
64 is the adjacent side.83 is the hypotenuse.Applying the cosine, the measure is obtained as follows:
cos(x) = 64/83
x = arccos(64/83)
x = 39.6º.
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may you please help me!
The answer of the given question based on line plot graph is , the data points are , 1,6,9,12,18.
What is Box-and-whisker plot?A box-and-whisker plot, also known as a box plot, is a graphical representation of a data set that shows the distribution of the data and provides information about its central tendency and variability.
To construct a box-and-whisker plot from the given line plot, we need to find the following five data points:
The minimum value, which is the smallest number of miles Habib hiked in the past 18 days.
The first quartile (Q1), which is median of lower half of data set.
The median, which is middle value of data set.
The third quartile (Q3), which is the median of the upper half of the data set.
The maximum value, which is the largest number of miles Habib hiked in the past 18 days.
Based on the line plot, we can estimate the five data points as follows:
The minimum value appears to be 1 miles.
The first quartile appears to be around 6 miles, which is the median of the data points from day 1 to day 9.
The median appears to be around 9 miles, which is the middle value of the entire data set.
The third quartile appears to be around 12 miles, which is the median of the data points from day 10 to day 18.
The maximum value appears to be 18 miles.
These five data points can be used to construct a box-and-whisker plot that summarizes the distribution of the data.
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What is the equaiton of the funtions with the solution 2/3 and 4
3. Choose the correct answer.
A measure of tendency is the value or values around which the values in a statistical data set tend to cluster, or group; the mean, median, and mode of a statistical data set.
-negative
-central
-random
-positive
Measures of central tendency are summary statistics that represent the center point or typical value of a dataset. Examples of these measures include the mean, median, and mode. These statistics indicate where most values in a distribution fall and are also referred to as the central location of a distribution.
The answer is central because measures of central tendency, such as mean, median, and mode, are the values that summarize the center of a distribution of data. They provide a single value around which the data tend to cluster, making them useful for describing the overall characteristics of a dataset. The mean is the arithmetic average of a set of values, while the median is the middle value when the data are ordered, and the mode is the most frequently occurring value in the dataset. All of these measures provide a central or typical value for the data.
~~~Harsha~~~
NEED ANSWER ASAP
a) pi/6
b) pi/4
c) pi/3
Answer:
Step-by-step explanation:
sorrry
Find the value of the angle 8 rounded to 1 DP.
0
31°
→ 0 = |
The diagram is not drawn accurately.
42m
0
11m
Answer:
The answer for 0 is 12.7° to 1d.p or approximately 13°
Step-by-step explanation:
cos31=42/x
xcos31=42
divide both sides by cos31
xcos31/cos31=42/cos31
x=48.998m
x≈49m
tan0=opp/adj
tan0=11/49
0=tan‐¹(11/49)
0=12.65°
0=12.7° to 1 d.p
0≈13°
Which weighs less than 25 pounds 
Answer:
A. 400 ounces is 25lbs so yeah
Step-by-step explanation:
The total cost in cents for producing dollar bills can be found using the function
c=5.5b, where b is the number of dollar bills produced. If a mint produces at
least 420 dollar bills but not more than 425 dollar bills during a certain time
period, what is the domain of the function for this situation?
A 420 ≤ b ≤425
B2310
C (420, 421, 422, 423, 424, 425}
D (2310, 2315.5, 2321, 2326.5, 2332, 2337.5}
The domain of the function for this situation is 420 ≤ b ≤ 425. Option A
How to find the domain of the functionThe set of all possible values of b, which in this example is the number of dollar bills generated by the mint, is the domain of the function
According to the problem, the mint produces at least 420 but no more than 425 dollar bills, hence the domain is: 420 ≤ b ≤ 425
As a result, the answer is 420 ≤ b ≤ 425
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Theta = -8pi/3
What is a coterminal angle of theta such that 0 ≤ theta ≤ 2π?
The coterminal angle of tetha is 240°
What are coterminal angles?Coterminal angles are angles in standard position (angles with the initial side on the positive x-axis) that have a common terminal side. For example, the angles 60,-300 are coterminal.
If tetha = -8π/3
and π is 180
therefore, tetha = -8×180/3
= - 8 × 60 = -480°
since tetha is -480°, the coterminal angle is calculated as;
-480° +360 = -120°
The positive angle of -120° = 360-120 = 240°
therefore the coterminal angle that is greater than 0 but less than 360 is 240°
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What is the next number
in the sequence -3, -2
, 1, 6, 13, ...?
Answer: The next number is 22
Hope it helped :D
Good luck!
What is the surface area? 30 ft 36 ft 30 ft 32 ft 24 ft traigle prism square feet
Answer: The surface area of the triangular prism with dimensions 30 ft, 36 ft, 30 ft, 32 ft, and 24 ft is 4116 square feet.
Step-by-step explanation:Area = 0.5 x base x height
The first triangular face has a base of 30 ft and a height of 36 ft. So, its area is:
Area of first triangle = 0.5 x 30 ft x 36 ft = 540 square feet
The second triangular face has a base of 32 ft and a height of 24 ft. So, its area is:
Area of second triangle = 0.5 x 32 ft x 24 ft = 384 square feet
Next, we need to find the area of the three rectangular faces. Each rectangular face has an area equal to the length times the width. We have three rectangular faces with dimensions:
30 ft x 36 ft
30 ft x 32 ft
36 ft x 32 ft
So, the area of each rectangular face is:
Area of first rectangular face = 30 ft x 36 ft = 1080 square feet
Area of second rectangular face = 30 ft x 32 ft = 960 square feet
Area of third rectangular face = 36 ft x 32 ft = 1152 square feet
Finally, we can find the total surface area by adding up the areas of all the faces:
Total surface area = Area of first triangle + Area of second triangle + Area of first rectangular face + Area of second rectangular face + Area of third rectangular face
Total surface area = 540 sq ft + 384 sq ft + 1080 sq ft + 960 sq ft + 1152 sq ft
Total surface area = 4116 square feet
Therefore, the surface area of the triangular prism with dimensions 30 ft, 36 ft, 30 ft, 32 ft, and 24 ft is 4116 square feet.
Does the statement represent a function? Brent weighs himself each week. One week, he weighs himself twice and his weight is slightly different.
Yes/true
No/false
A function requires that each input or independent variable has exactly one output or dependent variable, which is not the case if Brent weighs himself every week and his weight changes every time. The correct option is No/false.
What is function ?Independent variable and dependent variable are two sets of values that explain a connection in mathematics. Each input value in a function corresponds to exactly one output value.
Therefore, the input is the week and the output is Brent's weight, but there are multiple outputs for the same input week which violates the definition of a function.
Therefore, The answer is No/false
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MARK YOU THE BRAINLIEST! Given the rectangle in this example, and a scale factor of 3.5, what are the side lengths of the new rectangle?
Answer:
10 × 3.5 = 35
22 × 3.5 = 77
The dimensions of the new rectangle are 35 and 77.
Chen uses ()=−++h to determine the height of a ball t seconds after it is thrown at an initial velocity of /16 feet per second from an initial height of 6 ft. Describe the error Chen made.
Chen's condition does not take into consideration the impact of gravity on the ball's height, so the calculation of the ball's height at any point in time is incorrect.
Based on the information given, Chen used the following formula to determine the height of the ball.
[tex]h(t) = -16t^2 + vt + h0[/tex]
where h(t)= height of the ball at time t, v = initial velocity (16 feet/second), and h0 = initial height (6 feet).
However, Chen's equation is flawed. The sign of acceleration due to gravity being a constant factor of [tex]-32 ft/s^2[/tex] is wrong. The correct formula is:
[tex]h(t) = -16t^2 + vt + h0 - (1/2)gt^2[/tex]
where g is the acceleration due to gravity [tex](-32 ft/s^2).[/tex]
hence, Chen's condition does not take into consideration the impact of gravity on the ball's height, so the calculation of the ball's height at any point in time is incorrect.
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3. Morgan and Desmond each added the same amount of water to their
aquariums. Megan mixed 5 mL of a chemical solution with every gallon of
water for her aquarium. Desmond mixed 8 mL of the chemical solution with
every 2 gallons of water for his aquarium.
Which of these statements is true?
the statement that is true is that Desmond's aquarium has a higher concentration of chemical solution than Megan's aquarium, even though they added the same amount of water and chemical solution.
How to solve the question?
To compare the chemical concentration of the two aquariums, we need to convert the amount of chemical added to a common unit of measurement. Let's convert Megan's chemical solution to mL per 2 gallons, which is equivalent to 7.57 L per 3785.41 mL of water. This means that Megan added 7.57 mL of the chemical solution for every 2 gallons of water in her aquarium.
Desmond added 8 mL of the chemical solution for every 2 gallons of water in his aquarium. So, both Megan and Desmond added the same amount of chemical to their aquariums.
However, the concentration of the chemical in the water would be different since Megan added the chemical at a higher rate than Desmond. Megan added 7.57 mL of chemical per 2 gallons of water, while Desmond added 8 mL of chemical per 2 gallons of water. This means that the concentration of the chemical in Megan's aquarium would be lower than that in Desmond's aquarium.
Therefore, the statement that is true is that Desmond's aquarium has a higher concentration of chemical solution than Megan's aquarium, even though they added the same amount of water and chemical solution.
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YOUR COMPLETE QUESTION IS ;-Morgan and Desmond each added the same amount of water to their aquariums. Megan mixed 5 mL of a chemical solution with every gallon of water for her aquarium. Desmond mixed 8 mL of the chemical solution with every 2 gallons of water for his aquarium.Which of these statements is true?
Suppose someone claims the average delivery time for u.s. packages to be delivered during december is 2 days. you believe it takes longer than that. you conduct a hypothesis test; what are your hypotheses?
There is enough evidence to reject the null hypothesis and conclude that the true population mean delivery time is indeed longer than 2 days.
How to conduct a hypothesis test?Set up the null hypothesis (H0), alternative hypothesis (Ha).
In this case, our null hypothesis would be that the average delivery time for U.S. packages are pending to be delivered during December is equal to 2 days:
H0: μ = 2
Our alternative hypothesis would be that the average delivery time for U.S. packages to be delivered during December is longer than 2 days:
Ha: μ > 2
Where μ represents the population mean delivery time.
So our hypotheses would be:
H0: μ = 2 (null hypothesis)
Ha: μ > 2 (alternative hypothesis)
We will then conduct a statistical test to determine if there is enough evidence to reject the null hypothesis and conclude that the true population mean delivery time is indeed longer than 2 days.
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If someone claims that the average delivery time for U.S. packages during December is 2 days, and you believe it takes longer than that, then you can conduct a hypothesis test to determine if your belief is statistically significant or not.
Your hypotheses for this test would be as follows:
Null Hypothesis (H0): The average delivery time for US packages during December is equal to 2 days.
Alternative Hypothesis (Ha): The average delivery time for U.S. packages during December is greater than 2 days.
The null hypothesis represents the status quo or the claim that is being made. The alternative hypothesis represents your belief or the claim that you are testing. To conduct the hypothesis test, you would need to collect a sample of delivery times during December and use statistical analysis to determine if the sample mean is significantly different from 2 days.
If the sample mean is significantly greater than 2 days, then you would reject the null hypothesis and conclude that the average delivery time is longer than 2 days during December. However, if the sample mean is not significantly different from 2 days, then you would fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim that the average delivery time is longer than 2 days during December.
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write a general rule for the seth ethic sequence {-12,-5,2,9} then identify the domain and range of the sequence
Answer:
The general rule for the seth ethic sequence is to add 7 to the previous term to get the next term.
Domain: The sequence is defined for all integer values of n where n is greater than or equal to 1.
Range: {-12, -5, 2, 9}
pls help due in an hour
Answer:
Step-by-step explanation:
I already helped you it’s on your previous post you posted
Help needed asap!
I do not understand this problem
If 28 people were surveyed, 7 more people voted for spinach than for broccoli.
How to obtain the amounts?The amounts are obtained applying the proportions in the context of the problem.
The fractions for each vegetable are given as follows:
Broccoli: 1/4.Spinach: 1/2.Asparagus: 1/4.Then the amounts, out of 28 people, are given as follows:
Broccoli: 1/4 x 28 = 7.Spinach: 1/2 x 28 = 14.Asparagus: 1/4 x 28 = 7.Then the difference between spinach and broccoli is given as follows:
14 - 7 = 7.
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Question
Find the diameter of a circle with a circumference of 9. 42 miles. Use 3. 14 for pi
The diameter of the circle is 3 miles.
Given that, a circle with circumference of 9.42 miles, we need to find diameter of the circle,
Circumference = π × diameter
9.42 = 3.14 × diameter
Diameter = 9.42 / 3.14
Diameter = 3
Hence, the diameter of the circle is 3 miles.
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