Answer:
(2, 1)
Step-by-step explanation:
y ≥ -2x + 5
Point: (2, 1)
(1) ≥ -2(2) + 5
1 ≥ -4 + 5
1 ≥ 1
Which is true because the sign is representing greater than or equal to
Harley solved the following equation and knows she made a mistake. Explain to her where her error was and then solve the equation correctly.
Answer:
heyy i would help you but you didnt include the equation:)
can somebody please help me with these, I don’t know if they’re right and I don’t understand how to do it
Answer:
ur right!!
Step-by-step explanation:
In performing hypothesis tests about the population mean, if the population standard deviation is not known, a t test can be used to test the mean if _________________.
a. n is small
b. the sample is random
c. the population mean is known
d. the population is normally distributed
e. the population is chi-square distributed.
In performing hypothesis tests about the population mean, a t-test can be used if the population standard deviation is not known and the sample is random.
The conditions of a random sample and unknown population standard deviation are necessary for the t-test to be applicable.
When conducting hypothesis tests about the population mean, if the population standard deviation is unknown, the t-test is appropriate to use. The t-test is specifically designed for situations where the population standard deviation is not known and must be estimated from the sample. By using the sample data, the t-test calculates a test statistic called the t-value, which is used to determine the statistical significance of the mean difference.
However, it is important to note that in addition to the unknown population standard deviation, the sample must also be random for the t-test to be valid. Random sampling helps ensure that the sample is representative of the population, which is crucial for making accurate inferences. Therefore, options (b) "the sample is random" and (d) "the population is normally distributed" are the correct conditions for using a t-test when the population standard deviation is unknown.
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I NEED HELP!
The function f(x) is a quadratic function and the zeros of f(x) are - 2 and 5. The y-intercept of f(x) is 30. Write the equation of the quadratic polynomial in standard form.
f(x)=___________
Answer:
Step-by-step explanation:
First of all you have to put the zeros into factor form.
y1 = (x + 2)(x - 5)
Notice that the x changes sigh. You say that the zeros are -2 and 5. To get y1 to go to zero, you must make x the opposite sign of what you are given.
Now you have to expand the factored form to get the standard form
y = x^2 + 2x - 5x - 10
y = x^2 - 3x - 10
That's not the right answer.
f(0) = 30 but you have - 10 at the end so you have to multiply the factored form by - 3
-3(f(x)) = -3(x + 2)(x - 5)
-3(f(x)) = -3(x^2 - 3x - 10)
f(x) = -3x^2 + 9x + 30
f(0) = -3(0)^2 + 9(0) + 30
f(0) = 30
The quadratic still has roots of (x +2)(x - 5) but that 3 makes the y intercept = 30.
See the graph below.
The tendency to perceive order in random events often leads to overestimating the value of.
Does anybody know answer to this plsssss
9514 1404 393
Answer:
(a) 4(2x^5 +x^2 -3)
Step-by-step explanation:
The only common factor is 4. That factor must be removed from every term to find the expression that goes inside parentheses.
8x^5 +4x -12 = 4(2x^4 +x -3)
a survey was conducted in a local shopping mall. there were 75 woman and 150 men surveyed if 3/5 of the woman said they would like to receive flowers as a Valentine's Day gift but only a third of men said they would like to get flowers how many fewer woman responded they like to get flowers than men?
The volume of a cylinder is 725x cm”. The radius of the base of the cylinder is 5 cm. What is the height of the cylinder?
Which number is less than -1.5?
O-1
O-15
X
-13
o
-
N10
Answer:
the number less than -1.5 would be 0-1 so it would be A)
4. There are 10 cheerleading squads performing in a competition. The
order of the performances is determined at random. What is the
probability that your squad performs first and your friend's squad performs
second?
Answer:
0.011 or 1/90
Step-by-step explanation:
Since the order of the performances is determined at random the probability of each squad is constant that 1/10
The probability of your squad is 1/10
Given that the first selected was yours (1/10) nine squads are left . Therefore the probability of your friends squad is 1/9.
Hence the probability that your squad performs first and your friend's squad performs second is (1/10 * 1/9) 1/90 or 0.011
Ryan wants to rent an apartment. The following table shows the monthly rent of five apartments and the monthly commuting time to work from each apartment. Ryan's opportunity cost of time is $15 per hour. Apartment Commuting Time (hours/month) Rent ($/month) 1 40 1,500 2 20 1,750 3 10 2,000 4 4 2,210 5 1 2,250 Refer to the table above. What is the total cost incurred per month if Ryan rents apartment 3? A. $2,000 B. $2,270 C. $2,150 D. $2,050 Ryan wants to rent an apartment. The following table shows the monthly rent of five apartments and the monthly commuting time to work from each apartment. Ryan's opportunity cost of time is $15 per hour. Apartment Commuting Time (hours/month) Rent ($/month) 1 40 1,500 2 20 1,750 3 10 2,000 4 4 2,210 5 1 2,250 Refer to the table above. The total cost per month is the highest if Apartment ________ is rented. A. 2 B. 3 C. 4 D. 5
The total cost incurred per month for renting apartment 3 is $2,150 and the apartment with the highest total cost per month is apartment 4, so the answer is 4.
How to determine costs?To find the total cost incurred per month if Ryan rents apartment 3, we need to calculate the monthly rent and the commuting cost:
Monthly rent for apartment 3 = $2,000
Commuting cost for apartment 3 = 10 hours/month × $15/hour = $150
Total cost incurred per month for apartment 3 = $2,000 + $150 = $2,150
Therefore, the answer is C) $2,150.
To find the apartment that has the highest total cost per month, we need to calculate the total cost for each apartment by adding the monthly rent and commuting cost:
Apartment 1: $1,500 + 40 hours/month × $15/hour = $2,100
Apartment 2: $1,750 + 20 hours/month × $15/hour = $2,050
Apartment 3: $2,000 + 10 hours/month × $15/hour = $2,150
Apartment 4: $2,210 + 4 hours/month × $15/hour = $2,270
Apartment 5: $2,250 + 1 hour/month × $15/hour = $2,265
Therefore, the apartment with the highest total cost per month is apartment 4, so the answer is C) 4.
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how do you do these problems
The required value of the function is 2
In the case of a function from one set to the other, each element of X receives exactly one element of Y.
The function's codomain and domain are respectively referred to as the sets Y and X as a whole.When a function is defined, the domain and codomain are not always explicitly specified, and one may just be aware that the domain is a subset of a bigger set without having to conduct any (perhaps difficult) computation. In mathematical analysis, "a function from X to Y" typically refers to a function that may have a valid subset of X as its domain.The given function is of the form :
g(x) = - x² - 7
Now let us find the required values.
g (-3) = - (-3)² - 7 = 2
g (-2) = - (-2)² - 7 = -3
g (1 ) = - ( -1 )² - 7 = -6
Hence the required value of the function is 2 at x = -3 .
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In what order will the keys in the binary search tree above be visited in an inorder traversal? Provide the sequence as a comma separated list of numbers. For example, if I has instead asked you to provide the keys along the rightmost branch, you would type in your answer as 50,75,88.
The keys in the binary search tree will be visited in the following order in an inorder traversal: 12, 23, 25, 30, 37, 40, 45, 50, 60, 75, 80, 88.
In an inorder traversal of a binary search tree, the keys are visited in ascending order. Starting from the left subtree, the left child is visited first, followed by the root, and then the right child. This process is then repeated for the right subtree. So, the keys are visited in ascending order from the smallest to the largest value in the tree. In the given binary search tree, the sequence of keys visited in an inorder traversal is 12, 23, 25, 30, 37, 40, 45, 50, 60, 75, 80, 88.
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Find the exact slope of the tangent line to the parametric curve { x = 6cos (t) y=2sin(t) at the point where t = pi/3. Give an exact answer, do not use a decimal.
The exact slope of the tangent line to the parametric curve { x = 6cos (t) y=2sin(t) at the point where t = pi/3 is -2√3.
The slope of a tangent line to a parametric curve is equal to the derivative of the y coordinate with respect to the x coordinate.
So, we first need to find the derivatives of x and y. The derivative of x with respect to t is -6sin(t) and the derivative of y with respect to t is 2cos(t).
Substituting t = pi/3 into the derivatives, we get -6sin(pi/3) for x and 2cos(pi/3) for y. Simplifying, we get -3√3 for x and 1 for y. Thus, the slope of the tangent line to the parametric curve at t = pi/3 is m = y'/x' = -2√3.
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Which pair of functions are inverse functions
Answer:
3rd one is inverse functions
The surface area of this cube is 54 square millimeters. What is the volume?
Answer:
27
Step-by-step explanation:
One face of the cube is 9 square cm (54/6). So the length of an edge is 3 cm.
3x3x3 = 27
point(3,2) lies on the line given by the equation 5x-y=20.Find m.
Answer:
Slope of the line 'm' = 5
Step-by-step explanation:
Step(i):-
Given that the straight line
5 x - y = 20
⇒ 5x - 20 = y
y = 5 x - 20
Step(ii):-
The equation of the straight line having to slope 'm'
y = m x + c
given that the straight line
y = 5x +20
comparing y = m x + c
Slope of the line 'm' = 5
Pls help me in my math assignment
Dividing Decimals up to 2 decimal places
The area of a square rug is 64 square feet. What is the perimeter of the rug?
Given data
Area of a square = 64 square feet
To find the perimeter of a rectangle, you need the length of its sides.
You can find the length of a square from the area of the square given below.
\(\begin{gathered} \text{Area of a square = L}^2 \\ L\text{ = length of the side} \\ \text{Next, substitute the value of area to find the length.} \\ 64=L^2 \\ \text{Next, to find the length, find the square root of both sides.} \\ \sqrt[]{64\text{ }}\text{ = }\sqrt[]{L^2} \\ L\text{ = 8 ft} \end{gathered}\)Use the formula below to find the perimeter.
The perimeter of a square = 4L
= 4 x 8
= 32 feet
A cyclist travels at 10 km/hr for 2 hrs and then at 20 km/hr for 1 hr. Find the average speed.
Answer:
12.5 km/hr
Step-by-step explanation:
You find the mean after making them both the same measurement.
You would divide 10 by 2 to get 5 km/hr
You would use the 20 km/hr
You would add them and get 25
Then divide by 2 to find the mean and get 12. 5
PLZ MARK BRAINLIEST
please help this is for my study guide thanks! (what is the radius)
We are given the following details
\(\begin{gathered} \text{volume of the cube = }4019.2\text{ cubic centimeters} \\ \text{height}=20\operatorname{cm} \\ \pi=3.14 \end{gathered}\)To find the radius, we will make the radius, the subject of the formula from the equation:
\(V=\pi r^2h\)\(\begin{gathered} r^2=\frac{V}{\pi h} \\ \\ r=\sqrt[]{\frac{V}{\pi h}} \end{gathered}\)Substituting the values, we will obtain
\(\begin{gathered} r=\sqrt[]{\frac{4019.2}{3.14\times20}}=\sqrt[]{64} \\ \\ r=\sqrt[]{64} \\ \\ r=8 \end{gathered}\)The radius of the cylinder 8.00
please help me with this!!! i’m begging!
Answer:
Domain is 3 <x>_-2
Range is 6 <x>_-3 (the lines are supposed to be under the >. it means equal to)
Step-by-step explanation:
First look on the x-axis, is goes from 3 to -2. now look at the colored in dot. that means more than or equal to. So the sign of -2 is x >_ -2. put the 3 on the other side. It stops at three so the sign is > 3. so 3<x>_ -2
Do the same with the y-axis except look up and down instead of left and right. so the numbers are 6 and -3. Use the same method above. this is set builder notation.
A cylinder has a height of 16 yards. Its base has a radius of 7 yards.
Find its volume, in cubic yards, to the nearest tenth. Use 3.14 or the
calculator value for pi.
Answer:
\(\boxed {\boxed {\sf v= 2463.0 \ yd^3}}\)
Step-by-step explanation:
The volume of a cylinder is found using the following formula:
\(v= \pi r^2h\)
The height of the cylinder is 16 yards and the radius is 7 yards. Let's use the pi button on a calculator for pi. Substitute these values into the formula.
\(v= \pi* (7 \ yd)^2 * 16 \ yd\)
Solve the exponent.
(7 yd)²= 7 yd* 7 yd= 49 yd²\(v= \pi * 49 \ yd^2 *16 \ yd\)
Multiply the three numbers together.
\(v= \pi *784 \ yd^3\\v=2463.00864041 \ yd ^3\)
Round to the nearest tenth.
\(2463.0\underline0864041\)The 0 in the hundredth place tells us to leave the 0 in the tenth place.
\(v= 2463.0 \ yd^3\)
The volume of the cylinder is 2463.0 cubic yards.
how many nonzero terms of the maclaurin series for ln(1 x) do you need to use to estimate ln(1.4) to within 0.000001?
We need to use 7 terms to estimate the value of ln(1.4) to within 0.0001.
What is the Maclaurin series?A Maclaurin series is a function that is used to estimate the values functions, evaluate the sum, or determine the value of the anti-derivative of a function.
We have:
f(x)=ln(1+x)
Expansion of In(1+x) up to seven terms is:
In(1+x) = x - x^2/2 + x^3/3 - x^4/4 + x^5/5 - x^6/6+ x^7/7
Where it is known that -1 <= x <= 1
Put x=0.4 in the above series:
ln(1.4) = 0.4 - 0.4^2/2 + 0.4^3/3 - 0.4^4/4 + 0.4^5/5 - 0.4^6/6+ 0.4^7/7
We get:
ln(1+4) = 0.3365333
Therefore, we need 7 terms to estimate the value of ln 1.4 to within 0.0001.
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Solve.
(4v-9) (1 + v) = 0
(If there is more than one solution, separate them with commas.)
v =
Answer:
v = -1
Step-by-step explanation:
First, you will need to solve it step-by-step:
(4v − 9)(1 + v) = 0
Next, you need to simplify both sides of the equation:
4v(2) − 5v − 9 = 0
Now, factor the left side of equation:
(4v − 9)(v + 1) = 0
The last thing you need to do is to set all of the factors to equal to zero:
4v − 9 = 0 or v + 1 = 0
So, that means that you answer:
v=9/4 or in your case, v = −1
what are some other things a person making $40,000 would have to account for before determining their net pay?
Find the value of the power
Answer:
Power is the zero at the end of the number like this 56 small 0 at the top right
Step-by-step explanation: Its not just the zero its whatever number is divided by the power it cant go past 50
Seth's father is thinking of buying his son a summer movie pass for $30 dollars. With the pass, matiness cost $4 each.
Without the pass each movie is normally $8. If Seth plans to go to 30 movies this summer how much money would he
save?
Answer:
Seth saved $90.
Step-by-step explanation:
1.Find out how much would be spent without buying the movie pass.
Multiply the amount of money that one would spend for each movie, by the number of movies one saw.
8 * 30 = 240
2.Find out the amount that was actually spent
Multiply the amount that was actually spent on each movie, by the number of movies that were seen. Then add the additional cost of the pass.
(4 * 30) + 30
= 120 + 30
= 150
3. Find the difference between the two values.
Subtract the amount that one was supposed to spend by the amount one did spend.
240 - 150
= 90
Can someone help me out my grade are bad
Answer:
a. 0.4 and 0.5
b. 0.46
Step-by-step explanation:
i don't know if this right, so lmk
PLS HELP ASAP!!!!!!!
Triangle ABC is congruent to triangle XYZ. Side
BC corresponds to what side in triangle XYZ?