Answer:
-24
Step-by-step explanation:
to find the answer to this you must find out what would make the equation constant
everytime the x goes up by 3 the y goes down by 6
so every time the x goes up by 1 the y goes down by 2
so
you would subtract 5 * 2 (or 10) to -14
-14 - 10 = -24
find the area of the diagram
Answer:
13500 ft²
Step-by-step explanation:
Area of rectangle:We can find the width of the rectangle using Pythagorean theorem.
AD² + DC² = AC²
180² + DC² = 195²
32400 + DC² = 38025
DC² = 38025 - 32400
= 5625
DC = √5625
= 75 ft
length = 75 ft
Width = 180 ft
\(\sf \boxed{\text{\bf Area of rectangle = length * width}}\)
= 75 * 180
= 13500 ft²
state the null and alternative hypotheses for the following conjecture. the average age of a senior surgical resident in the united states is less than 30.8 years old.
The null hypothesis (H0) states that the average age is equal to or greater than 30.8 years, while the alternative hypothesis (Ha) states that the average age is less than 30.8 years.
In hypothesis testing, we set up the null hypothesis (H0) and the alternative hypothesis (Ha) to investigate a claim or conjecture. In this case, the conjecture is that the average age of a senior surgical resident in the United States is less than 30.8 years old.
The null hypothesis (H0) assumes that the average age is equal to or greater than 30.8 years, and any difference observed in the sample is due to random chance or sampling variability. Therefore, the null hypothesis can be stated as:
H0: The average age of senior surgical residents in the United States is greater than or equal to 30.8 years.
The alternative hypothesis (Ha) represents the claim or the opposite of the null hypothesis. In this case, the alternative hypothesis states that the average age is less than 30.8 years, indicating that there is a significant difference or evidence against the null hypothesis. Therefore, the alternative hypothesis can be stated as:
Ha: The average age of senior surgical residents in the United States is less than 30.8 years.
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Select all the tables that could represent proportional relationships.
Answer:
2 and 3
Step-by-step explanation:
Find a second point that would fit on the graph given the following information:
Slope of 2 with a point (0,5)
Find the length of a segment defined by A(4, 3) and B(8, 0)
A car travelling at 90/km per hour covers a distance in 2hours 15 min . How far did the car travel
Answer:
202.5 Km
Step-by-step explanation:
the distance travelled d is calculated as
d = speed × time ( in hours )
= 90 × 2.25
= 202.5 Km
To produce at a point lying ______ the production possibilities curve would require economic growth.
To produce at a point lying inside the production possibilities curve would require economic growth.
What is production possibilities curve ?The production possibilities curve can be described as a graph that help to display the different combinations of output which can be gotten from given current resources and technology.
In this case, To produce at a point lying inside the production possibilities curve would require economic growth.
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A ladder is 8 meters long. It leans against a wall with one end on the ground, 6 meters from the wall. The other end reaches a windowsill. Calculate the height of the window sill above the ground.
Answer:
\(\sqrt{28\)
Step-by-step explanation:
a^2 + b^2 = c^2.
if you draw out the triangle, you can substitute numbers into an equation.
6^2 + b^2 = 8^2
36 + b^2 = 64
b^2 = 64 - 36
b^2 = 28
b = \(\sqrt{28}\)
2 ft
3 ft
1 ft
1 ft
3 ft
What is the total area, in square feet, of the top of the desk? Enter the answer in the box.
I square fe
Help help help help help help help
Answer:
the power of 6 is 5 because in quotient law always u have to do subtract so 7-2 is 5
Not sure if i understand but can someone help me understand by what its means of the problem?
Answer:
Variable: b
Equation: $12b + $16 = $112
Solution: 8 books
Step-by-step explanation:
$12b + $16 = $112
$12b + $16 - $16 = $112 - $16
$12b = $96
$12b ÷ $12 = $96 ÷ $12
b = 8
Hope that helps.
P→ P'(3,-2) for (x,y) → (x-2,y) and reflection line y = 4. Find the coordinates of P.
Answer: We can first reflect point P' = (3,-2) across the line y=4 to obtain the image point P'' as follows:
The y-coordinate of P' is -2 which is 6 units away from the line y=4. Therefore, its reflection across the line y=4 will have a y-coordinate of 4+6 = 10.
The x-coordinate of P' is 3. Since the reflection line y=4 is the midpoint of P' and its reflection, the x-coordinate of P'' is 2 units to the left of the reflection line. Therefore, the x-coordinate of P'' is 3-2 = 1.
So, the coordinates of P'' are (1,10).
To obtain the coordinates of point P, we need to apply the transformation (x,y) → (x-2,y) to P''. Therefore, we get:
P = (1-2,10) = (-1,10)
Therefore, the coordinates of point P are (-1,10).
Step-by-step explanation:
Answer:
(6,10)
Step-by-step explanation:
f(x)=3x²-x+2
find f (-4)
48=3ײ-4
(4-)-2=6
48+6=54
to use a binomial distribution to approximate the count of successes in an srs, why do we require that the sample size n be no more than 10% of the population size n?
When the 10% criterion is met, we can use a binomial distribution to approximate the number of successes in a simple random sample (SRS) (as a simple random sample selects the trials without replacement).
The sample must be less than 10% of the population in order to satisfy the 10% requirement. It is fair to presume that the trials are independent because the sample is so much smaller than the population (even though the sampling occurred without replacement).
This suggests that the sample size n in this situation must be less than 10% of the population size NN.
This is the reason why 10% condition should be met.
In a binomial probability distribution, the number of successes in a series of n experiments is represented as either success or failure (probability q = 1 p), depending on the outcome's boolean value. A Bernoulli trial or experiment is another name for a single success or failure test, while a Bernoulli process is another name for a sequence of results.
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Jim buys a skateboard for $200. The value of the skateboard depreciates by 15% each year
since buying it. Create a function to represent the value of the skateboard, f(2), in dollars,
after 3 years since buying it.
Answer: f(x)=200•(0.85)^x
Step-by-step explanation:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
Depreciation is often modeled as an exponential decay function. Since Jim bought a skateboard for Co=$200, its value will depreciate by r=15% = 0.15 each year since buying it.
HELPP PLEASEEEEEE!!!!!
Answer:
B. 6 cm
Step-by-step explanation:
Solve for v: w = v/r
Answer:
v = wr
Step-by-step explanation:
\((r)w=\frac{v}{r}(r)\\wr=v\)
Answer:
v = w/r
Step-by-step explanation:
w = v/r
v = w/r
what is s for the following function
Answer:
S = 3
S = 5
S = 7
S = 9
Step-by-step explanation:
t = 3s + 2
when t = 11
11 = 3s + 2
11 – 2 = 3s
9 = 3s
s = 3
t = 3s + 2
when t = 17
17 = 3s + 2
17 – 2 = 3s
15 = 3s
s = 5
t = 3s + 2
when t = 23
23 = 3s + 2
23 – 2 = 3s
21 = 3s
s = 7
t = 3s + 2
when t = 29
29 = 3s + 2
29 – 2 = 3s
27 = 3s
s = 9
I HOPE ALL THIS HELPS
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Maggie has a container in the shape of a right prism . The formula for its surface area is SA = Ph + 2B solve for h.
(9th grade Algebra 1)
Answer:
The choose first.
\( h = \frac{SA - 2B}{P} \)
Step-by-step explanation:
\(SA = Ph + 2B \\ \\ Ph = SA - 2B \\ \\ h = \frac{SA - 2B}{P} \)
I hope I helped you^_^
please help and show work
y=-8x
y=-4-10x
what is the resolution
By reducing the denominator each time, the given real-number's \(1-\frac{1}{1-\frac{1}{1-\frac{1}{2}}}\)simplification yields the answer of 2, which is 2.
What are real-numbers?They display the value of something actual, which is why they are not referred to as "Real". All numbers are part of the real number system, which is a collection of all numbers. Every number you have ever used, ever since you were old enough to count, is a component of the real number system. The real number system divides the numbers into two fundamental groups. Both sets of numbers fall into two categories: rational and irrational. Natural numbers, whole numbers, integers, ratios of two integers, decimal numbers that terminate, and decimal numbers with recurrent digit patterns all fall within the category of rational numbers.
Given expression is: \(1-\frac{1}{1-\frac{1}{1-\frac{1}{2}}}\)
\(1-\frac{1}{1-\frac{1}{\frac{1}{2}-\frac{1}{2}}}\) Equivalent rational number of 1 with denominator 2 = 2/2
\(1-\frac{1}{1-\frac{1}{\frac{1}{2}}}\) subtraction 2/2 - 1/2 = 1/2
\(1-\frac{1}{1-2}\) reciprocal of 1/2 = 2
\(1-\frac{1}{-1}\) subtraction of 1-2=-1
1 - (-1) Writing -1/1 = -1
1+1
2
The value of given expression is \(1-\frac{1}{1-\frac{1}{1-\frac{1}{2}}}=2\)
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How many feet apart is 535 and -8
Answer:
543 fee
Step-by-step explanation:
The difference between 535 and -8 is the distance between them, but it is not specified in what unit this distance should be measured. If you meant to find the difference in feet, then:
535 - (-8) = 535 + 8 = 543
So the distance between 535 and -8 in feet is 543 feet.
help me please. real answers only. Write an equation for the line parallel to the given line that contains C.
C(2,8); y = - 4x + 5
y =
(Type your answer in slope-intercept form.)
Answer:
y = -4x + 16
Step-by-step explanation:
The slope of the given line is -4
when two lines are parallel, their slopes are equal
That means the slope of the second line is -4 too
Thus, we have to use the point-slope form to write the equation
That will be
y-y1 = m(x-x1)
y-8 = -4(x-2)
y -8 = -4x + 8
y = -4x + 8+8
y = -4x + 16
the number of cookies in a shipment of bags are normally distributed, with a mean of 64 and a standard deviation of 4. what percent of bags of cookies will contain between 64 and 68 cookies?
The percentage of bags of cookies that will contain between 64 and 68 cookies is approximately 18.23%.The number of cookies in a shipment of bags is normally distributed, with a mean of 64 and a standard deviation of 4.
What percentage of bags of cookies will contain between 64 and 68 cookies
When X is normally distributed with mean µ and standard deviation σ, the z-score formula can be used to find the probability that X is between two values.
Z = (X - µ) / σ
First, we convert both 64 and 68 to z-scores:
Z for 64 cookies = (64 - 64) / 4 = 0Z for 68 cookies = (68 - 64) / 4 = 1
Next, we find the probability that X is between these two z-scores using a standard normal distribution table or calculator:
Prob (0 < Z < 1) = 0.3413 - 0.5(0) - 0.159
= 0.1823
So, the percentage of bags of cookies that will contain between 64 and 68 cookies is approximately 18.23%.
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Ivan borrowed money from a credit union for 5 years and was charged at an annual rate 9% .The total interest that he paid was $2700.How much money did he borrow
The formula to calculate the total interest paid is:
\(I=P((1+r)^n-1)\)Where:
• I, is the total interest paid
,• P, is the amount borrowed
,• r, is the interest rate
,• n, is the times that the interest was compounded
Solving this formula for P,
\(\begin{gathered} I=P((1+r)^n-1) \\ \\ \Rightarrow P=\frac{I}{(1+r)^n-1} \end{gathered}\)Using the data given,
\(\begin{gathered} P=\frac{2700}{(1+\frac{9}{100})^5-1} \\ \\ \Rightarrow P=5012.77 \end{gathered}\)Therefore, we can conclude that he borrowed $5,012.77
Simplify: 3+y+y+y+2
Answer:
3y + 5
I really hope this helps
The length of a football field including the end zones is 48 feet longer than four times the length of a tennis
court. It is also 282 feet longer than a tennis court.
How long is the foorball field?
How long is the tennis court?
Answer:
T=78 feet (Tennis court)
360 feet (Football Filed)
Step-by-step explanation:
4T+48 = T+282
The length of the football field is 360 feet.
The length of the tennis court is 78 feet.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The length of a football field including the end zones is 48 feet longer than four times the length of a tennis court.
And, It is also 282 feet longer than a tennis court.
Let the length of the tennis court = x
So, The length of the football field = 48 + 4x
Here, The length of the football field is 282 feet longer than a tennis court.
So, We get;
⇒ 48 + 4x = 282 + x
⇒ 4x - x = 282 - 48
⇒ 3x = 234
⇒ x = 78
Thus, The length of the football field = 48 + 4x
= 48 + 4×78
= 48 + 312
= 360 feet
The length of the tennis court = x
= 78 feet
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I have a bag of marbles. 4 are blue, 3 are orange, 2 are red, and 1 is purple.
What color will most likely be drawn?
What is the probability of pulling an orange?
What is the probability of pulling a red AND THEN a purple?
What is the probability of pulling a white?
Step-by-step explanation:
most likely be drawn: blue
pulling orange: 3/10
pulling red: 2/10 or 1/5
pulling purple: 1/10
pulling white: 0
Look at the top 3 banking activities done via mobile banking vs. online banking. what characteristics do you
notice for both?
The characteristics I notice in top 3 mobile banking vs. online banking. is that:
They are both flexible.They are both used for transferring fundsThey can both be used to Online bill pay.Both can be used to monitor account.What are the top 3 banking activities done via mobile banking?They are:
Checking of an account balance or checking recent transactions.Downloading of mobile banking app.Transferred money between two accounts.The top 3 banking activities done via online banking are:
Transferring of fundsLooking at account balances at any time.Looking or printing statements.Therefore, the characteristics I notice in top 3 mobile banking vs. online banking. is that:
They are both flexible.They are both used for transferring fundsThey can both be used to Online bill pay.Both can be used to monitor account.Learn more about banking activities from
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Calculate the range, variance, and standard deviation for the following samples a. 43, 41, 48, 47, 49 b. 100, 1, 3, 95, 70, 4, 6, 10, 5 c. 100, 1, 3, 30, 70, 30, 43, 5 a. The range is 8 Type an integer or a decimal. Do not round.) The variance is 11.80 (Round to two decimal places as needed.) The standard deviation is 3.4 (Round to one decimal place as needed.) b. The range is 99 (Type an integer or a decimal. Do not round.) The variance is 1813.50 (Round to two decimal places as needed.) The standard deviation is 42.6 (Round to one decimal place as needed.) c. The range is 99 (Type an integer or a decimal. Do not round.) The variance is 1234.79 (Round to two decimal places as needed.) he standard deviation is (Round to one decimal place as needed.)
The range, variance, and standard deviation are 8, 21.10, 445.21.
The range, variance, and standard deviation are 99, 40.14,1612
What is data?
Data is a collection of measurements or observations used as a source of information. There are numerous types of data and numerous ways to represent data.
Given data is
43, 41, 48, 47, 49
Arrange them in ascending order:
41, 43, 47, 48,49
The range is (49 - 41) =8
The mean is (41+43+47+48+49)/5 =45.6
Data deviation from mean square deviation
41 4.6 21.16
43 2.6 6.76
47 -1.4 1.96
48 -2.4 5.76
49 -3.4 11.56
Total 47.2
The standard deviation is s = √[(x-μ)²/N] = 21.10
The variance is s² = 445.21
Given data is
100, 1, 3, 95, 70, 4, 6, 10, 5
Arrange them in ascending order:
1, 3, 4, 5, 6, 10, 70, 95, 100
The range is (100 - 1) = 99
The mean is (1+3+4+6+5+10+70+95+100)/9 =32.67
Data deviation from mean square deviation
1 31.67 1002.99
3 29.67 880.31
4 28.67 821.97
5 27.67 756.63
6 26.67 711.29
10 22.67 513.93
70 -37.33 1393.52
95 -62.33 3885.03
100 -3.33 4533.33
Total 14508.0001
The standard deviation is s = √[(x-μ)²/N] = 40.14
The variance is s² = 1612
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