Answer:
70 mph
Step-by-step explanation:
Find the unit rate, which is "miles per hour."
280 miles
--------------- = 70 mph
4 hours
70 mph
4 hours/280 miles
1 hour/70 miles
Which expression is equivalent to |1-5| + |3|?
O -2
O -8
O 2
O 8
Answer:
8
Step-by-step explanation:
because you do |1-5| first then do add ur answer to |3|
Consider the equation below. (If an answer does not exist, enter DNE.)
f(x) = x4 − 8x2 + 9
(a) Find the interval on which f is increasing. (Enter your answer using interval notation.)
Find the interval on which f is decreasing. (Enter your answer using interval notation.)
The interval on which the function f(x) = x^4 - 8x^2 + 9 is increasing can be expressed in interval notation as (-∞, -2) ∪ (2, ∞). The interval on which the function is decreasing can be expressed as (-2, 2).
To determine the intervals of increasing and decreasing, we need to examine the derivative of the function. Taking the derivative of f(x) with respect to x gives us f'(x) = 4x^3 - 16x. To find the intervals of increasing and decreasing, we need to analyze the sign of the derivative. The derivative is positive when x < -2 and x > 2, indicating an increasing function. The derivative is negative when -2 < x < 2, indicating a decreasing function.
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Mike surveyed 4 newly hired police officers at the police station. Is this a random sample of the police officers at the police station?
Answer:
No
Step-by-step explanation:
This is not a random sample, because Mike only surveyed newly hired police officers.
A random sample would include a mix of different, randomly chosen police officers.
This sample only includes newly hired police officers, so it is not random.
Rami goes running in Central Park every Sunday. He runs at a constant speed. He can run 6 3/5 miles in 1 2/3 hours.what is his speed In miles?
Answer:
3 24/25 MPH
Step-by-step explanation:
We know Rami runs 6 3/5 miles in 1 2/3 hrs --> Convert into an improper fraction
--> 6 3/5 = 33/5
--> 1 2/3 = 5/3
Speed = Distance divided by Time
Distance = 33/5
Time = 5/3
33/5 / 5/3 = 33/5 x 3/5
33/5 x 3/5 = 99/25
1/25 less than 4 = 3 24/25
Thus, our answer is 3 24/25 MPH
Hope this helps!
Joey ha 8 pair of ock in hi drawer. Five of them are white. What percent of white ock doe Joey have?
Using percentages, we can see that Joey has 37.5% of the coloured socks.
We know that Joey has a total of 8 pairs of socks.
We also know that 5 pairs of socks are white.
Hence, the colored pair of socks will be:
8 - 5 = 3
Calculate its percentage as follows:
3/8 × 100
0.375 × 100
37.5%
Percentage is a relative figure used to represent hundredths of a quantity.
Because one percent (symbolised as 1%) represents one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount indicated.
Percentage, which meaning "per 100," denotes a percentage of a total amount. For example, 45% represents 45 out of 100.
Percentage computation is the process of determining a percentage of a whole in terms of 100.Percentage cam be calculated from fractions and decimals
Manual calculation and the usage of online calculators are both choices.
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Please help ASAP! thank you!!
Answer: C: 9.0 x 10^-3
Step-by-step explanation:
∠1 and ∠2 are vertical angles. If the measure of ∠2 is 105°, find the measure of ∠1.
Answer:
\( \boxed{ \bold{ \huge{ \boxed{ \sf{105°}}}}}\)
Step-by-step explanation:
Given, < 2 = 105°
To find : < 1
When two lines interest the angles formed opposite to each other are called vertically opposite angles. Vertically opposite angles are always equal to each other.
So,
<1 = 105 °
Hope I helped!
Best regards!
Answer:
\(\Huge \boxed{\angle 1 = 105 \° }\)
Step-by-step explanation:
\(\angle 1\) and \(\angle 2\) are vertical angles.
\(\angle 2= 105 \°\)
Vertical angles are equal in measure.
\(\angle 1= \angle 2\)
\(\angle 1= 105 \°\)
A right triangle has a hypotenuse with a length of 10cm. One angle of the three in this triangle is 53.1 degrees. What is the length of the side opposite this angle?Group of answer choices8.0 cm6.0 cm1.33 cm4.0 cm
The length of the side opposite the angle of 53.1 degrees in a right triangle with a hypotenuse of 10 cm is 8 cm. (A)
This can be found using trigonometry and the Pythagorean theorem. The trigonometric function sine can be used to find the ratio of the length of a side to the length of the hypotenuse given an angle in a right triangle.
In this case, the sine of the angle 53.1 degrees is the ratio of the length of the side opposite the angle to the length of the hypotenuse, which is 10 cm.
Therefore, the length of the side opposite the angle 53.1 degrees can be found by multiplying the sine of the angle by the length of the hypotenuse, which is 10 cm * sin(53.1) = 8 cm.
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Find a polar equation of the form r = f(theta) for the curve represented by the Cartesian equation x = 3.
*NOTE*: Since theta is not a symbol on your keyboard, use t  in place of theta in your answer.Â
r =Â
the polar equation of the form r = f(t) for the curve represented by the Cartesian equation x = 3.sec(t)
To find a polar equation for the given Cartesian equation x = 3, we need to convert it into polar form. We know that x = rcos(t) and substituting x = 3, we get 3 = rcos(t). Solving for r, we get r = 3/cos(t) which simplifies to r = 3sec(t). The polar coordinate system uses an angle t (or theta) and a distance r to describe a point in the plane. To convert a Cartesian equation to polar form, we need to express x and y in terms of r and t. In this case, we are given x = 3. We know that x = rcos(t), so we substitute x = 3 into this equation and get 3 = rcos(t). Solving for r, we get r = 3/cos(t). This can be simplified to r = 3sec(t), which is our polar equation of the form r = f(t).
In this equation, sec(t) is the reciprocal of cos(t), which means that the value of r will get larger as cos(t) gets smaller (i.e. as t approaches 90 degrees or pi/2 radians). This makes sense since the Cartesian equation x = 3 represents a vertical line passing through the point (3,0) on the x-axis. As we move up the line (in the positive y direction), the distance from the origin increases and the angle t approaches 90 degrees. Therefore, the value of r should get larger as t approaches 90 degrees, which is exactly what our polar equation shows.
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Which pair of angles is supplementary?
A) ∠RXZ and ∠YXZ
B) ∠PXQ and ∠RXS
C) ∠YZX and ∠UZT
D) ∠WZX and ∠XYZ
Answer:
A) <RXZ and <YXZ
Step-by-step explanation:
I just took the test
Answer:
its a
Step-by-step explanation:
suppose x is a normally distributed random variable with a mean of 12 and a standard deviation of 3. the probability that x equals 19.62 is . a. 0 b. .0055 c. .4945 d. .9945
The probability of x being equal o 19.62 is d) 0.
It is given that x is normally distributed with a mean of 12 and a standard deviation of 3.
Now, Normal distribution is a continuous distribution.
This implies that the probability is measured over an interval, taking an infinite number of points in between.
If we plot a continuous distribution, the probability here at a point is not the value of the y coordinate at that point. Instead, it is seen as an area under the curve of the distribution, between the two intervals, say a and b.
Therefore, if we take up a single point say c, then the probability will be the area under the curve from c to c, which will obviously be 0.
Hence, the probability that x = 19.62 will be 0.
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Suppose that the functions r and s are defined for all real numbers x as follows. r(x) = 3x s(x) = 2x2 Write the expressions for (s-r)(x) and (s-r)(x) and evaluate (s+r)(-2). (s.r) (x) = 1 (s - -)(x) = 1 (s + r)(-2) = 1 Х 5 ?
Answer:
(s+r)(-2) = 2
Step-by-step explanation:
To find the expressions for (s-r)(x) and (s+r)(x), we need to subtract and add the functions s(x) and r(x) respectively.
(s-r)(x) = s(x) - r(x)
Substituting the given functions:
(s-r)(x) = 2x^2 - 3x
(s+r)(x) = s(x) + r(x)
Substituting the given functions:
(s+r)(x) = 2x^2 + 3x
To evaluate (s+r)(-2), we substitute x = -2 into the expression for (s+r)(x):
(s+r)(-2) = 2(-2)^2 + 3(-2)
= 2(4) - 6
= 8 - 6
= 2
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Please answer my question by the way the number 4 and 5 is FOIL.
Using FOIL method for the multiplication, we have:
1: 3x (5x - 4) = 15x² - 12x
2: x²(5x² + 3y + 1) = 5x⁴ + 3x²y + x²
3: (4x + 3)(4x -5) = 16x² - 8x - 15
4: (7x - 3)(4x - 5) = 28x² - 47x + 15
How to carry out multiplication using FOIL?
FOIL is an acronym that stands for "First, Outer, Inner, Last". It is a mnemonic device that is commonly used to remember the process of multiplying two binomials.
No. 1
3x (5x - 4) = 3x*5x + 3x*(-4)
= 15x² - 12x
No. 2
x²(5x² + 3y + 1) = x²*5x² + x²*3y + x²*1
= 5x⁴ + 3x²y + x²
No. 3
(4x + 3)(4x -5) = 4x(4x-5) + 3(4x-5)
= 4x*4x + 4x*(-5) + 3*4x + 3*(-5)
= 16x² - 20x + 12x - 15
= 16x² - 8x - 15
No. 4
(7x - 3)(4x - 5) = 7x(4x - 5) - 3(4x - 5)
= 7x*4x + 7x*(-5) - 3*4x - 3*(-5)
= 28x² - 35x -12x + 15
= 28x² - 47x + 15
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how to find unbiased estimator of pdf
To find an unbiased estimator of the probability density function (pdf), one must first determine the expected value of the estimator.
An estimator is unbiased if its expected value is equal to the true value of the parameter being estimated.
Let f(x|θ) be the pdf of a random variable X, where θ is a parameter of the distribution. To estimate the pdf, one can use a kernel density estimator (KDE), which is a non-parametric method that estimates the pdf using a kernel function. Let ƒ(x) be the estimated pdf using the KDE.
To find an unbiased estimator of the pdf, we need to calculate the expected value of ƒ(x) and set it equal to f(x|θ). This can be done by integrating ƒ(x) over the entire range of X:
∫ ƒ(x) dx = ∫ K((x - Xi)/h) dx
where K is the kernel function, Xi is the ith observation, and h is the bandwidth parameter.
To make this estimator unbiased, we can multiply it by a constant that ensures that its expected value equals the true pdf. This constant is typically chosen to be the reciprocal of the integral of the kernel function over the entire range of X:
ƒ^(x) = (1/nh) ∑ K((x - Xi)/h) / ∫ K(u) du
where n is the sample size.
This estimator is unbiased because its expected value is equal to the true pdf. However, it may not be the most efficient estimator in terms of mean squared error or other criteria.
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Find the 8th term of the geometric sequence 8,16,32
Answer:
64
Step-by-step explanation:
8,16,32
8x2 is 16
16x2 is 32
therefore, 32x2 is 64
Answer:
it's 1024
Step-by-step explanation:
just keep multiplying each multiple by 2
8
16
32
64
128
256
512
1024
Add the following lengths: 4' 9" + 7" =
Answer:
Your answer to this question is 16
From previous experience, the owner of an apple orchard knows that the mean weight of Gala apples is 140 grams. There has been more precipitation than usual this year, and the owner believes the weights of the apples will be heavier than usual. The owner takes a random sample of 30 apples and records their weights. The mean weight of the sample is 144 grams with a standard deviation of 13.2 grams. A significance test at an alpha level of Alpha = 0.05 produces a P-value of 0.054. What is the correct interpretation of the P-value?
There is a 5.4% chance that the null hypothesis is incorrect if the true mean weight is 140 grams.
There is a 5.4% chance that a sample mean of 144 grams or greater will occur by chance if the true mean weight is 140 grams.
There is a 5.4% probability that a sample mean of 144 grams will occur by chance alone if the true mean weight is 140 grams.
Assuming the true mean weight of the apples is 140 grams, there is a 94.6% probability that a random sample of apples will produce a mean weight of 140 grams.
The correct interpretation of the P-value in this scenario is: "There is a 5.4% chance that a sample mean of 144 grams or greater will occur by chance if the true mean weight is 140 grams."
The P-value represents the probability of obtaining a sample mean as extreme as, or more extreme than, the observed value, assuming the null hypothesis is true. In this case, the null hypothesis would state that the mean weight of the Gala apples is 140 grams.
Since the P-value (0.054) is greater than the significance level (α = 0.05), it is not statistically significant at the 0.05 level. This means that we do not have strong evidence to reject the null hypothesis. However, the P-value is relatively close to the significance level, indicating that there is a moderate probability of observing a sample mean of 144 grams or greater if the true mean weight is actually 140 grams.
Therefore, we can interpret the P-value as indicating that there is a 5.4% chance that a sample mean of 144 grams or greater will occur by chance alone if the true mean weight of Gala apples is 140 grams.
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4. Recursively defined sets ( 3 points) Give a recursive definition of the set below. The set of positive integer powers of 5 . 5. Divisibility (4 points) Prove that if a∣b and b∣a, then a=b or a=−b.
4. We start with the base case of \(5^0 = 1\) and recursively generate the next element in the set by multiplying the previous element by \(5\).
5. if a divides \(b\) and \(b\) divides \(a\), either a equals \(b\) or \(a\) equals negative \(b\).
4. The recursive definition of the set of positive integer powers of 5 can be expressed as follows:
Base case: \(5^0 = 1\) is in the set.
Recursive step: If n is in the set, then \(5^(n+1)\) is also in the set.
Using this definition, we start with the base case of \(5^0 = 1\)and recursively generate the next element in the set by multiplying the previous element by \(5\).
5. To prove that if a divides \(b\) and \(b\)divides \(a\), then a equals \(b\) or \(a\) equals negative \(b\), we can use the definition of divisibility.
Assume that \(a\) divides \(b\), denoted as \(a | b\) , and \(b\) divides \(a\), denoted as \(b | a.\)
By definition, if a divides b, there exists an integer k such that b = ak.
Similarly, if \(b\) divides \(a\), there exists an integer m such that \(a = bm.\)
Substituting the expression for\(b\) in terms of \(a\), we have \(bm = ak.\)
Dividing both sides by b (since b is nonzero), we get m = a/b.
Since \(m\) is an integer, \(a/b\) must be an integer, which means \(a\) is divisible by \(b\).
If \(a/b\) is an integer, it implies that \(b/a\)is also an integer, which means \(b\) is divisible by \(a\).
Therefore, if \(a\) divides \(b\) and \(b\) divides \(a\), it follows that \(a/b\) and \(b/a\) are both integers.
If \(a/b = m\) and \(b/a = k\), then we have \(a = bm\) and\(b = ak.\)
\(If m = k = 1, then $a = b.\)
\(If m = k = -1, then a = -b.\)
Therefore, if \(a\) divides \(b\) and \(b\) divides \(a\), either \(a\) equals \(b\) or \(a\) equals negative \(b\).
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Which expression are equivalent to -3.5 - (-8.2)? Choose ALL that apply.
-3.5 + (-8.2)
3.5 + (-8.2)
-3.5 + 8.2
3.5 + 8.2
-3.5 + (+8.2)
Answer: Your answer is D becasue when you add -3.5 - (-8.2) you get 4.7, and its the same as -3.5 + (+8.2). I hope that kinda explaines it.
Step-by-step explanation:
If by the sas similarity theorem, what is ad? 16 units 20 units 24 units 28 units
If by the SAS similarity theorem, in ΔABE ≈ΔACD the AD is 24 units.
A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.
Triangles that resemble one another but may not be exactly the same size are said to be comparable triangles. When two objects have the same shape but different sizes, they can be said to be comparable. This indicates that comparable shapes superimpose one another when amplified or demagnified.
If the sides are in the same ratio or proportion and the angles are equal (corresponding angles), two triangles will be similar (corresponding sides). Similar triangles may have varied side lengths when compared individually, but they must all have equal angles and the same ratio of their side lengths.
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There 7 yellow ribbons 6 blue ribbons 9 red ribbons and 3 green ribbons P(2 green ribbons)
The probability of selecting 2 green ribbons is 3/25.
To calculate the probability of selecting 2 green ribbons, we need to consider the total number of ribbons and the number of ways to select 2 green ribbons.
Total number of ribbons = 7 (yellow) + 6 (blue) + 9 (red) + 3 (green) = 25
Number of ways to select 2 green ribbons = C(3, 2) = 3
C(n, r) represents the combination formula, which calculates the number of ways to choose r items from a set of n items.
The probability of selecting 2 green ribbons can be calculated using the formula:
P(2 green ribbons) = Number of ways to select 2 green ribbons / Total number of ribbons
P(2 green ribbons) = 3 / 25
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Melissa rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total more than 12.
Answer:
0
Step-by-step explanation:
As the die is fair the maximum number you can get on each die is 6 so even if we get both die's to roll on its maximum (6, 6) we still won't get a number above 12, so the probability of getting a number above 12 is impossible.
PLEASE HELP WILL MARK BRAINLY NO LINKS ONLY GET ONE AWNSER FOR ME SO NO LINKS OR FUNNY STUFF
Answer: I believe it's 6 5/8
Step-by-step explanation:
So far, 907907907 of the 122312231223 voters have agreed to the new amendment.
Based on this data, what is a reasonable estimate of the probability that the next voter does not agree to the new amendment?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
\dfrac{316}{907}
907
316
start fraction, 316, divided by, 907, end fraction
(Choice B)
B
\dfrac{907}{1223}
1223
907
start fraction, 907, divided by, 1223, end fraction
(Choice C)
C
\dfrac{1223}{2130}
2130
1223
start fraction, 1223, divided by, 2130, end fraction
(Choice D)
D
\dfrac{316}{1223}
1223
316
Answer:
I do not know the answer but I need to answer a question to finish logging into brainly
Answer: 316/1223
Step-by-step explanation: I checked on khan
A manager started a meeting with his staff at 9:30.The meeting ended at 10:25.How long did the meeting last
How long the meeting last = End time - Starting time
= 10:25 - 9:30
= 9:85 - 9:30 [I converted 10:25 to make it easier to see the
subtraction. This is posibble because 1hr = 60mins]
= 55 mins
Consider a population regression model. For simplicity, ignore the subscript i that we normally attach with the variables. If k=2, then the model can be written as:
A. Y= β0 + β1X1 + β2X2 + e
B. Y = β0 + β1X1 + β2X2 +
C. Y = β0 + β1X1 + β2X2 = β0 + β1X1 + β2X2
D. Y = β0 + β1X1 + β2X2 + e
Among the given options (A, B, C, D), the correct population regression model when k = 2 is option D: Y = β0 + β1X1 + β2X2 + e.
In a population regression model, we are interested in modeling the relationship between a dependent variable (Y) and one or more independent variables (X1, X2, etc.). The model equation consists of the regression coefficients (β0, β1, β2, etc.) that represent the effect of each independent variable on the dependent variable, and the error term (e) that captures the unexplained variation in the data.
Among the given options, only option D includes all the necessary components of a population regression model with two independent variables (k = 2). It includes the dependent variable Y, the regression coefficients β0, β1, and β2 for the independent variables X1 and X2, respectively, and the error term e.
Options A, B, and C are incorrect because they either omit the error term or have an incomplete equation. The error term is crucial in accounting for the unobserved factors and random variation in the relationship between the variables.
Therefore, the correct population regression model when k = 2 is option D: Y = β0 + β1X1 + β2X2 + e.
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Pls help! If you want brainly list please explain pls and ty!
Answer:
f(x) = -19
g(x) = -10
Step-by-step explanation:
just substitute.
-4(2)^2-3 = -19
-3(4)+2 = -10
Answer:
f(2) = -19
g(4) = -10
Step-by-step explanation:
f(x) = -4x² - 3 g(x)) = -3x + 2
Find f(2)
Technically, we input 2 for x in the function f(x)
Solve:
f(2) = -4(2)² - 3
f(2) = -4(4) - 3
f(2) = -16 - 3
f(2) = -19
Find g(4)
As before, we input 4 for x in the function g(x)
Solve:
g(4) = -3(4) + 2
g(4) = -12 + 2
g(4) = -10
-Chetan K
a manufacturer knows that their items have a normally distributed lifespan, with a mean of 3.1 years, and standard deviation of 0.5 years. the 10% of items with the shortest lifespan will last less than how many years? give your answer to one decimal place.
The shortest lifespan will last less than 2.5 years.
What is standard deviation?
The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.
First, we must utilize the conventional normal table to determine the value for z if 10% of the region (probability) to its left will be present. We can observe that about z = -1.282.
Now, we have to find the value of x, that corresponds to the value of z.
Since,
(x - μ) / σ = z
(x - 3.1) / 0.5 = -1.282
x = 2.459
Hence, the shortest lifespan will last less than 2.5 years.
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Marshall spins a prize wheel with 4 segments of equal size, one of which is labeled "winner. "
Let X = the number of spins until Marshall wins a prize.
What is the probability that Marshall wins a prize on his 2nd spin?
Recall: P(X = k) = (1 – p)k–1p
Round to 4 decimal places
The probability that Marshall wins a prize on his second spin = 0.1875
Consider an event X = the number of spins until Marshall wins a prize.
Given that a prize wheel with 4 segments of equal size, one of which is labeled winner.
So, the sample space n = 4
For given event x, the possible outcomes = 1
Using the formula of probability,
p = x/n
p = 1/4
p = 0.25
So, the probability of success p = 0.25
q = 1 - p
q = 1 - 0.25
q = 0.75
To find the probability that Marshall wins a prize on his 2nd spin.
Using formula, \(P(X = k) = (1 - p)^{k-1}p\)
For k = 2,
\(P(X = 2) = (1 - 0.25)^{2-1}\times 0.25\)
P(X = 2) = 0.75 × 0.25
P(X = 2) = 0.1875
Thus, the required probability is 0.1875
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HELP YOU GET 20 POINTS
Mr. Callahan stayed four nights at a hotel. His bill was $725 before the sales tax of 6% was added. How much was the sales tax?
Answer:
$43.50
Step-by-step explanation:
.06 x 725 = 43.50