Answer:
18 ft^2
Step-by-step explanation:
The area of a parallelogram is A=bh.
The area would be A = 9*4.
A = 36
To find the area of one trapezoid you divide the area of the parallelogram by 2.
36/2 = 18 ft^2
Calculating the degrees of freedom, the sample variance, and the estimated standard error for evaluations.
using the t statistic.
With another study, where you also plan on evaluating a mean using the t statistic, you have a sample of n = 21 that has an SS of 500. What is the variance for the sample?
A. 5.00
B. 22. 36
C. 25
D. 250,000
Answer:
The variance is \(\sigma ^2 =25\)
Step-by-step explanation:
From the question we are told that
The sample size is n = 21
The sum of squares is \(SS = 500\)
Generally the variance is mathematically represented as
\(\sigma ^2 = \frac{SS}{n- 1}\)
substituting values
\(\sigma ^2 = \frac{ 500}{21- 1}\)
\(\sigma ^2 =25\)
The average low temperatures in international falls minnesota are shown in the graph f(x) represents the function that contains these points find each of the following
The Relative Maximum will be (7, 50) and minimum is (12, 0).
We have the graph showing average low temperatures in international falls minnesota.
From the graph the maximum y coordinate is 50.
So, the Relative Maximum will be (7, 50).
and, the minimum y coordinate is 0.
So, the Relative minimum is (12, 0)
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Assume the geometric distribution applies. Use the given probability of success p to find the indicated probability. Find P(5) when p= .70
Answer:
3.5
Step-by-step explanation:
you do .70 times 5
P times 5 = p(5)
P=.70
.70 times 5= 3.5
The value of P(5) when p = 0.70 is 0.00567
How to determine the probability?The given parameter is:
p = 0.70
A geometric probability is represented as:
P(x) = (1 - p)^(x - 1) * p
So, we have:
P(5) = (1 - 0.70)^(5 - 1) * 0.70
Evaluate the difference
P(5) = 0.30^4 * 0.70
Evaluate the product
P(5) = 0.00567
Hence, the value of P(5) when p = 0.70 is 0.00567
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[4 ×{ 3 - ( 2- 1/3 )}]
what is 13+7x=27 pleae i really need help
Answer:
x=2 is the answer to this problem
14. The table shows the low temperatures in four cities
on Saturday.
City Temperature (°C)
Alford
-2.5
Gainesville
-0.4
Follett
-6.1
Fowlerton
3.4
oby's
What is the order from coldest to warmest of these
temperatures?
A) -0.4 <-2.5 <-6.1 < 3.4
B -2.5 <-6.1 <-0.4 < 3.4
C -6.1< -2.5<-0.4 < 3.4
D 3.4 <-0.4<-2.5 <-6.1
off
0/
Answer:
C
Step-by-step explanation:
From clodest to warmest temperature
-6.1 < -2.5 < -0.4 < 3.4
Help Solve this Please
Answer: x = 2
Step-by-step explanation:
x + (x + 1) + (x + 2) = 9
3x + 3 = 9
3x +(3 - 3) = (9 - 3)
3x = 6
x = 2.
Hope this helps
2 x – 3 y = 7
–4 x + y = –5
What is the x -value of the solution to this system of equations?
Answer:
x = \(\frac{4}{5}\)
Step-by-step explanation:
2x - 3y = 7 → (1)
- 4x + y = - 5 → (2)
multiplying (2) by 3 and adding to (1) will eliminate y
- 12x + 3y = - 15 → (3)
add (1) and (3) term by term to eliminate y
- 10x + 0 = - 8
- 10x = - 8 ( divide both sides by - 10 )
x = \(\frac{-8}{-10}\) = \(\frac{4}{5}\) (= 0.8 )
In triangle ABC, AP is an angle bisector of angle BAC. What is the length of PC? Round you answer to the nearest whole number.
A) 6 B) 7 C) 8 D) 9
Answer:
D) 9
Step-by-step explanation:
x = ½ × 13 = 6.5
y = ½ × 5 = 2.5
6.5 + 2.5 = 9
So the length of PC is 9
HOPE THIS HELPS AND HAVE A NICE DAY <3
In a school containing 360 children, 198 are girls. What percent of all children are girls? What percent of the children are boys? The number of girls is what percent of the number of boys? The number of boys is what percent of the number of girls?
the number of girls is _____% of the number of boys.
Answer:
1st question :55%
2nd ":122.22%
3rd ":81.82%
One jar of spaghetti sauce is made with 1/4 of a cup of tomatoes. How many full jars of spaghetti sauce can be made with 3 cups of tomatoes?
Answer:
you can make 12 cans of them
Evaluate each expression.
Answer:
THIS DESERVES A BRAINLIEST BECAUSE I PUT ALL OF THE ANSWERS AND THE WORK TO IT
1: 6
2: 3
3: 5
4: 1
5: 3
6: -1
7: 8
8: 4
9: 3
10: 16
Step-by-step explanation:
Use PEMDAS
1. (2x2)+2
You do 2x2 first which is 4 so then you do 4+2 which is 6
2. 6 divided by (5-3)
You do 5-3 first which is 2 then 6/2 (that's 6 divided by 2) which is 3
3. 6/6 x5
so you do 6 divided by 6 which is 1 then you get 1x5 which is 5.
4. 2-(5-4)
5-4 is 1 and 2-1 is 1
5. 2+6/6
6 divided by 6 is 1 and 2+1 is 3
6. (-6)+5 is -1
7. 1-(-7) is the same as 1+7 which is 8
8. (-3)-7 is the same as -3+7 which is the same as 7-3 which is 4
9. 5+(-2) is the same as 5-2 which is 3
10. 8-(-8) is the same as 8+8 which is 16
Mr.Choi has a class of 17 students. He can spend $17 on each student to buy math supplies for the year. He first bugs all his students calculators, which costs a total of $97.41. After buying the calculators, how much does he have left to spend on each student?
What is the y-intercept of the graph of y = 2.5*?
a. 2.5
b. 1
ΟΑ
О в
О с
OD
C. 0
d. -1
OT
Ü
Please select the best answer from the choices provided
Point of y-intercept is (0,1)
What is y-intercepts?In a graph, the point where the line or curve crosses the axis is called the intercept. If a point crosses the x-axis it is x-intercepts. If a point crosses y-axis it is y-intercepts.
Given the function is \(y=2.5^{x}\)
y-intercept is the point where the graph of the function crosses the y-axis.
To find the point of y-intercept put x=0 in the given function, we get
if x=0 then \(y=2.5^{0}\) ⇒ y=1.
The function crosses at the point 1 in the y-axis.
Hence, point of y-intercept is (0,1)
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Does anyone know how to solve this with steps?
Find the savings plan balance after 19 months with an APR of 11% and monthly payments of $250.
To solve the savings plan balance, we have to calculate the interest for 19 months. The formula for calculating interest for compound interest is given below:$$A = P \left(1 + \frac{r}{n} \right)^{nt}$$where A is the amount, P is the principal, r is the rate of interest, t is the time period and n is the number of times interest compounded in a year.
The given interest rate is 11% per annum, which will be converted into monthly rate and then used in the above formula. Therefore, the monthly rate is $r = \frac{11\%}{12} = 0.0091667$.
The monthly payment is $PMT = $250. We need to find out the amount after 19 months. Therefore, we will use the formula of annuity.
$$A = PMT \frac{(1+r)^t - 1}{r}$$where t is the number of months of the plan and PMT is the monthly payment. Putting all the values in the above equation, we get:
$$A = 250 \times \frac{(1 + 0.0091667)^{19} - 1}{0.0091667}$$$$\Rightarrow
A = 250 \times \frac{1.0091667^{19} - 1}{0.0091667}$$$$\Rightarrow
A =250 \times 14.398$$$$\Rightarrow A = 3599.99$$
Therefore, the savings plan balance after 19 months with an APR of 11% and monthly payments of $250 is $3599.99 (approx).
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Translate this sentence into an equation. The sun of 15 and Delia’s age is 65. Use the variable d to represent Delia’s age
The translation of the sentence 'The sum of 15 and Delia’s age is 65'
is 15 + d = 65.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let, The age of Delia be 'd'.
Therefore, The equation for the statement 'The sum of 15 and Delia’s age is 65' can be expressed as,'
15 + d = 65.
d = 65 - 15.
d = 50.
So, The age of Delia is 50 years.
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The midpoint of segment AB is M(-2,2). If A is located at (-5,7) find the coordinates of the endpoint B
Answer:
B (1, -3)
Step-by-step explanation:
Step 1: Use the midpoint formula to find the coordinates of the endpoint:
Normally, we find the midpoint of a segment using the midpoint formula, which is given by:
M = (x1 + x2) / 2, (y1 + y2) / 2, where
M is the midpoint,(x1, y1) are one endpoint on the segment,and (x2, y2) are the other endpoint of the segment.Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:
x-coordinate of B:
x-coordinate of midpoint = (x1 + x2) / 2
(-2 = (-5 + x2) / 2) * 2
(-4 = -5 + x2) + 5
1 = x2
Thus, the x-coordinate of the endpoint B is 1.
y-coordinate of B:
y-coordinate of midpoint = (y1 + y2) / 2
(2 = (7 + x2) / 2) * 2
(4 = 7 + x2) -7
-3 = y2
Thus, the y-coordinate of the endpoint B is -3.
Thus, the coordinates of the endpoint B are (1, -3).
what is the distributive form of 5 (a - b)
Answer:
5a-5b
Step-by-step explanation:
hope this helps :))
State a conclusion that seems reasonable.
6+0 6,8+0-8, 9+O = 9, 100+0=100.
Conclusion:
Answer:
If zero is added to any number, then the answer will always be equal to the initial number.
2. A group of 5 friends go to a baseball game. Each person buys a ticket for the game and 2
hot dogs. Lett represent the cost of a ticket and h represent the cost of a hot dog.
a) Write two different expressions that represent the total amount this group spent. Explain
how the two expressions represent different ways of looking at the situation.
9514 1404 393
Answer:
5(t +2h)5t +10hStep-by-step explanation:
5(t +2h) --- the group total is 5 times the individual total. Each bought one ticket and 2 hot dogs.
__
5t +10h --- the group total is the total spent for tickets plus the total spent for hot dogs. 5 tickets and 10 hot dogs were purchased by the group.
Find the area bounded by the curves x = 2y2 and x = 1 - y. Your work must include an integral in one variable.
Please help!!
Answer:
Hello,
in order to simplify, i have taken the inverses functions
Step-by-step explanation:
\(\int\limits^\frac{1}{2} _{-1} {(-2x^2-x+1)} \, dx \\\\=[\frac{-2x^3}{3} -\frac{x^2}{2} +x]^\frac{1}{2} _{-1}\\\\\\=\dfrac{-2-3+12}{24} -\dfrac{-5}{6} \\\\\boxed{=\dfrac{9}{8} =1.25}\\\)
Quadrilaterals LMNO and STUV are similar. What is the value of x in inches?
A. 27.1
B. 9.2
C. 22.9
D. 6.6
Answer:
D
Step-by-step explanation:
2.2 : x = 4.1 : 12.3
2.2/x = 4.1/12.3 = 1/3
so x = 2.2 * 3 = 6.6
D
Find the x intercepts. Show all possible solutions.
For the function f(x) = 7/8x² - 14, the x-intercepts are x = -4 and x = 4.
What is a function?
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
To find the x-intercepts of the function f(x), we need to solve the equation f(x) = 0.
f(x) = 7/8x² - 14
Substitute f(x) with 0 -
0 = 7/8x² - 14
Add 14 to both sides -
7/8x² = 14
Multiply both sides by 8/7 -
x² = 16
Take the square root of both sides -
x = ±4
Therefore, the x-intercepts of the function f(x) are x = -4 and x = 4.
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What will be the value of the constant term when the function f(x) = 2x^2 -16x +10 is in vertex form?
Answer:
(4,-22)
Hope this helps!
List all the subsets of the given set.
{e, n, t}
The subsets of the set {e, n, t} are given as follows:
{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.
How to obtain the number of subsets in a set?Considering a set with n elements, the number of subsets in the set is the nth power of 2, that is:
\(2^n\)
The set for this problem is given as follows:
{e, n, t}
The cardinality is given as follows:
n = 3.
Hence the number of subsets is given as follows:
2³ = 8.
The subsets are given as follows:
{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.
In which {} is the empty set.
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Can someone help me? I’ll reward points + brainalist
Step-by-step explanation:
the question of your answer is d
Answer:
Step-by-step explanation:
Use the number line to find the equivalent decimal and mixed number for givenletter
The equivalent decimal and mixed number for given letter C is,
⇒ C = 8.2 ; 8 2/10
We have to given that,
A number line is shown in image.
Since,
A number lines are the horizontal straight lines in which the integers are placed in equal intervals.
And, All the numbers in a sequence can be represented in a number line. This line extends indefinitely at both ends.
Now, By given number line,
Point C is two point left from point 8.
Hence, The point C is denoted as,
⇒ C = 8.2
⇒ C = 82/10
⇒ C = 8 2/10
Therefore, the equivalent decimal and mixed number for given letter C is,
⇒ C = 8.2 ; 8 2/10
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Solve the system of equations using substitution.
4x – y = 7
3y – 12x = –21
(3, 5)
(6, 17)
no solution
infinite solutions
Answer:
infinitely many solutions
Step-by-step explanation:
solve by substitution:
solve equation 1 for y: - y = 7 - 4x; divide by -1 to simplify into y = -7 + 4x
Substitute - 7 + 4x into the second equation to obtain:
3(-7 + 4x) - 12x = -21, which yields:
-21 + 12x - 12x = -21, which simplifies 0 = 0
a result of 0 = 0 means infinite solutions such as:
(2,1), (3, 5), (4, 9), (5, 13), (6, 17)....
Answer:
infinite soulutions
Step-by-step explanation:
i just did it and it was right on ed2021...
Marianna finds an annuity that pays 8% annual interest, compounded quarterly. She invests in this annuity and contributes $10,000 each quarter for 6 years. How much money will be in her annuity after 6 years? Enter your answer rounded to the nearest hundred dollars.
The amount of money in Marianna's annuity after 6 years will be approximately $300,516.
To calculate the amount of money in Marianna's annuity after 6 years, we can use the formula for compound interest on an annuity:
A = P * ((1 + r/n)^(n*t) - 1) / (r/n)
Where:
A = the final amount in the annuity
P = the regular contribution (each quarter) = $10,000
r = annual interest rate = 8% = 0.08
n = number of compounding periods per year = 4 (since it's compounded quarterly)
t = number of years = 6
Plugging in the values:
A = 10000 * ((1 + 0.08/4)^(4*6) - 1) / (0.08/4)
Calculating this expression:
A ≈ 10000 * ((1.02)^24 - 1) / 0.02
A ≈ 10000 * (1.601032449136241 - 1) / 0.02
A ≈ 10000 * 0.601032449136241 / 0.02
A ≈ 10000 * 30.05162245681205
A ≈ 300,516.22
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Answer:
304200
Step-by-step explanation:
To find the value of P6, use the savings annuity formula
PN=d((1+r/k)N k−1)r/k.
From the question, we know that r=0.08, d=$10,000, k=4 compounding periods per year, and N=6 years. Substitute these values into the formula gives
P6=$10,000 ((1+0.08/4)6⋅4−1)/(0.08/4).
Simplifying further gives P6=$10,000 ((1.02)24−1)/(0.02) and thus P6=$304,218.62.
Rounding as requested, our answer is 304200.
In the real world, functions are mathematical representations of input-output situations. A vending machine is one such example. The input is the money combined with the selected button. The output is the product.
Here is another example: The formula for converting a temperature from Fahrenheit to Celsius is a function expressed as:
C = (5/9)*(F - 32), where F is the Fahrenheit temperature and C is the Celsius temperature.
If it is 77 degrees Fahrenheit in Phoenix Arizona, then what is the equivalent temperature on the Celsius thermometer?
Our input is 77.
C = (5/9)*(77 - 32)
C = (5/9)*(45)
C = 25
The equivalent temperature is 25 degrees Celsius.
To complete the Discussion activity, please do the following:
Choose your own function or choose from the list below and then provide a unique example of a function and evaluate the function for a specific input (like the example above).
Arm length is a function of height.
The circumference of a circle is a function of diameter.
The height of a tree is a function of its age.
The length of person's shadow on the ground is a function of his or her height.
Weekly salary is a function of the hourly pay rate and the number of hours worked.
Compound interest is a function of initial investment, interest rate, and time.
Supply and demand: As price goes up, demand goes down.
The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.
Weekly salary = Hourly pay rate * Number of hours worked
Weekly salary = $12/hour * 20 hours
Weekly salary = $240
So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
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