Answer:
(2,-2)
Step-by-step explanation:
y=-4x+6
y=3x-8
plug the y's in for each other to get:
-4x+6=3x-8 <----- solve from there
+8 +8
-4x+14=3x
+4x +4x
14=7x
/7 /7
x=2
now plug the x in to get y (in any problem)
y=3(2)-8
y=6-8
y=-2
(2,-2)
Can someone please help me on this????
City officials estimate that 46 percent of all city residents are in favor of building a new city park. A random sample of 150 city residents will be selected. Suppose that 51 percent of the sample are in favor of building a new city park. Which of the following is true about the sampling distribution of the sample proportion for samples of size 150?
a) The Stribution is not normal, and the mean is 0.46.
b) The duobution is not normal and the mean is 0.51.
c) The distribution is not normal, and the mean is the average of 0.46 and 0.51.
d)The distribution is approximately normal, and the mean is 0:46.
e) The distribution is aproximately normal, and the mean is 0.51.
Given that the city officials estimate that 46 percent of all city residents are in favor of building a new city park. A random sample of 150 city residents will be selected and assume that 51 percent of the sample are in favor of building a new city park. The sampling distribution of the sample proportion for samples of size 150 is approximately normal, and the mean is 0.46. The statement that describes the distribution of the sample proportion for samples of size 150 is "The distribution is approximately normal, and the mean is 0.46."
Sample size n = 150
Sample proportion = 51% = 0.51
The distribution of the sample proportion of all possible samples of size n (n = 150) is called the sampling distribution of the sample proportion.
The central limit theorem (CLT) states that the sampling distribution of the sample proportion will be approximately normal if the sample size is large enough. The sample size is large enough if
np ≥ 10 and n(1 - p) ≥ 10.
Here p is the population proportion.In the given problem, the population proportion is not known. But the sample size is 150, which is large enough to apply CLT.The mean of the sampling distribution of the sample proportion is the same as the population proportion.
Given that the city officials estimate that 46 percent of all city residents are in favor of building a new city park.
Hence, the mean of the sampling distribution of the sample proportion is 0.46.
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In a group of 40 students, the probability that at most 1 of them like to hikeis 54%. What is the probability that at least 16 of them like to hike?A. 46%B. 62%C. 38%D. 55%
SOLUTION:
Step 1:
In this question, we are given the following:
In a group of 40 students, the probability that at most 1 of them like to hike
is 54%. What is the probability that at least 16 of them like to hike?
A. 46%
B. 62%
C. 38%
D. 55%
Step 2:
The details of the solution are as follows:
Therefore, the remaining possibility is the probability for at least 16 of them like to hike.
CONCLUSION:
The final answer is:
\(46\text{ \% \lparen OPTION A \rparen}\)The level of probability that an investment will not produce expected gain is called?
Risk probability is the level of probability that an investment will not produce the expected gain.
Risk probability refers to the likelihood that an investment will not generate the expected returns. It is an important concept in investment analysis and decision-making. When making investment decisions, it is crucial to assess the potential risks involved. Risk probability helps us evaluate the likelihood of an investment not meeting our expectations. It provides an estimate of the chances of experiencing a loss or not achieving the desired level of gain.
For example, let's say you are considering investing in stocks. Before making a decision, you would analyze various factors such as market trends, company performance, and economic indicators. By assessing the risk probability, you can determine the likelihood of the investment not producing the expected returns. Also understanding the risk probability, investors can better manage their investment portfolios and make more informed decisions.
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Which set of numbers includes only integers? Left-brace 14, 9, one-third, 0, 243 Right-brace Left-brace 14, negative 7, 0, 243, negative 3 Right-brace Left-brace 14, Negative StartFraction 9 Over 10 EndFraction, 56, 0, negative 243 Right-brace Left-brace 14, 2.3, 654, 0, 9 Right-brace
Answer: Left-brace 14, negative 7, 0, 243, negative 3 Right-brace
Step-by-step explanation:
To obtain our answer, we need to know what an integer means and hence, it's properties or characteristics ;
An integer must be an whole number including Zero, which means no fractions
Similarly, integer numbers could be either positive or negative in value.
Hence, from the set represented above ;
(14, - 7, 0, 243, - 3) ; all the numbers in the set conform to the characteristics expected of an integer.
Answer:B
Step-by-step explanation:
Round the number shown on the calculator to 1 decimal place (1 d.p.).
Answer:
Step-by-step explanation:
As you see the picture the number is 1.249
step 1
As you know before decimal the digits are said to be ones,tens, hundred so on and starts from left to right.
But after decimal it goes right to left and they are said ones,tenth,hundredth
step 2
so here it says 1 decimal place means ones means one digit after dot or point so its 2
The number rounded off to 1 decimal place is 1.2
what is rounding off a decimal number?Rounding is a process to estimate a particular number in a context. To round a number look at the next digit in the right place, if the digit is less than 5, round down and if the digit is 5 or more than 5, round up. Rounding decimals refer to the rounding of decimal numbers to a certain degree of accuracy.
Given here, the number is 1.249 and thus the number rounded upto 2 decimal place is 1.25 and further rounding up the number to one decimal place we get 1.2
Hence, the number rounded upto one decimal place is 1.2
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can someone help me with this problem? Thank you!
Answer:
152
Step-by-step explanation:
If you substitute the 6, the expression will look like this-
8( 3(6) + 1 )
You can then times 3 by 6, this makes 18. You then add the one, this equals 19.
19 times 8 = 152.
I hope this helps, have a lovely day.
Ahhh please help I’m having a hard time with this( ̄^ ̄)ゞ
Answer:
A x+y
B x+0 + (y+0)
Step-by-step explanation:
(x+0) + y+0
Adding 0
x+y
Changing the order of the parentheses
x+0 + (y+0)
is still the same
Your aunt offers you a choice of $22,000 in 17 years or $950 today. At a discount rate of 20 percent, how much is your aunt's offer of $22,000 worth today? (Enter your answer as a positive number rounded to 2 decimal places.) If you invest $12,500 today, how much will you have in each of the following cases? Enter all answers as positive amounts. a. In 8 years at 7 percent? (Round your final answer to 2 decimal places.) b. In 17 years at 10 percent? (Round your final answer to 2 decimal places.) c. In 20 years at 12 percent (compounded semiannually)? (Round your final answer to 2 decimal places.)
At a discount rate of 20%, the present value of your aunt’s offer of $22,000 in 17 years is approximately $190.46.
To calculate the present value of your aunt’s offer, we use the discount rate of 20%. The formula for present value is PV = FV / (1 + r)^n, where PV is the present value, FV is the future value, r is the discount rate, and n is the number of periods. Plugging in the values, we have PV = $22,000 / (1 + 0.20)^17, which gives us approximately $190.46.
For the investment scenarios, we use the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount (initial investment), r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years. Plugging in the given values for each case, we calculate the final amounts.
a. A = $12,500(1 + 0.07/1)^(1*8) ≈ $19,956.77.
b. A = $12,500(1 + 0.10/1)^(1*17) ≈ $46,426.32.
c. A = $12,500(1 + 0.12/2)^(2*20) ≈ $73,785.59.
Therefore, if you invest $12,500 today, you will have approximately $19,956.77 in 8 years at 7%, $46,426.32 in 17 years at 10%, and $73,785.59 in 20 years at 12% compounded semiannually.
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ABCD is a square. Find the measure of x, y, AB and DC.
In a square, the length of its sides are equal, and the diagonal of a square is equal to the length of its sides times the √2.
A square is a type of rectangle that has four equal sides and four equal angles of 90 degrees.
Let's start by labeling the vertices of the square ABCD. We can call the bottom left vertex "A", the top left vertex "B", the top right vertex "C", and the bottom right vertex "D". Since this is a square, we know that AB and DC are both equal to the length of the sides of the square. So, we can write:
AB = DC = x
In this case, we can break the square into two 45-45-90 triangles and use the Pythagorean theorem to find the length of the diagonal. In a 45-45-90 triangle, the ratio of the length of the shorter side to the length of the hypotenuse is 1:√2. So, the length of AC can be found as follows:
AC = BD = x * √2
Now, we can use the Pythagorean theorem again to find the length of y, which is the distance from point A to point C. We can form a right triangle with AC as the hypotenuse and x and y as the other two sides. Using the Pythagorean theorem, we can write:
x² + y² = (x * √2)²
Expanding and simplifying this equation, we find:
x² + y² = 2x²
So,
y² = x²
And,
y = x
Therefore, since x and y are equal, we can write:
x = y = AB = DC
So, the measure of x, y, AB, and DC is equal to the length of the sides of the square ABCD.
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What is the value of c in the interval (5,8) guaranteed by Rolle's Theorem for the function g(x)=−7x3+91x2−280x−9? Note that g(5)=g(8)=−9. (Do not include "c=" in your answer.)
Answer:
\(\displaystyle c = \frac{20}{3}\)
Step-by-step explanation:
According to Rolle's Theorem, if f(a) = f(b) in an interval [a, b], then there must exist at least one c within (a, b) such that f'(c) = 0.
We are given that g(5) = g(8) = -9. Then according to Rolle's Theorem, there must be a c in (5, 8) such that g'(c) = 0.
So, differentiate the function. We can take the derivative of both sides with respect to x:
\(\displaystyle g'(x) = \frac{d}{dx}\left[ -7x^3 +91x^2 -280x - 9\right]\)
Differentiate:
\(g'(x) = -21x^2+182x-280\)
Let g'(x) = 0:
\(0 = -21x^2+182x-280\)
Solve for x. First, divide everything by negative seven:
\(0=3x^2-26x+40\)
Factor:
\(0=(x-2)(3x-20)\)Zero Product Property:
\(x-2=0 \text{ or } 3x-20=0\)
Solve for each case. Hence:
\(\displaystyle x=2 \text{ or } x = \frac{20}{3}\)
Since the first solution is not within our interval, we can ignore it.
Therefore:
\(\displaystyle c = \frac{20}{3}\)
Breanna made a scale drawing of her bedroom in order to arrange her
furniture. She used a scale of 1/2 inch = 1 foot. Her bed is 4 1/4 feet by 6
feet. What scale dimensions represent her bed?
Answer:
multiple both the numbers 2 times then add it together
Step-by-step explanation:
Is line used to define an angle?
Yes, line is used to define an angle.
What is an angle measure?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
When two straight lines or rays intersect at a single endpoint, an angle is created.
The vertex of an angle is the location where two points come together.
The common point is referred to as the vertex.
The length of the angle formed when two rays or arms intersect at a common vertex is known as an angle measure in geometry.
A straight line is a straight angle.
Therefore, two lines are used to define an angle.
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can someone please help me answer this? i will mark you brainliest!!! i really need help plss
Answer:
3.5
Step-by-step explanation:
If you get more like this just divide the big triangle to the small one. on the same lengths. Example: on this one do 14/4 = 3.5, 10.5/3 = 3.5, 21/6 = 3.5
Hope this helps! :)
a number is multiplied by 7 then 2.5 is added the result is 58.5
Answer:
The number is 8
Step-by-step explanation:
You subtract 2.5 from 58.5 which would be 56 and divided that by 7 which would give you he number 8.
urgent: help!!!
To own and operate a poster printer, it costs $250 for the printer and an additional $0.20 per poster for ink. To print out posters at a print store, it costs $1 per poster. Let p represent the number of posters.
When will the cost for owning and operating a poster printer equal the cost for printing at a print store?
Answer:
312.5
Step-by-step explanation:
250+(0.2p)=1p
p=312.5
Counting injective functions
For = {1,2,3,4,5} and = {2,4,6,8,10,12,14}, how many functions ∶ → are there
1. in total?
2. which are injective?
3. with (1) = 14 and (2) = 2?
4. with (3) = 6 and (4) ≠ 8?
Total number of functions from A to B: 16807. Number of injective (one-to-one) functions from A to B: 2520 and number of functions from A to B with (1) = 14 and (2) = 2: 20. Number of functions from A to B with (3) = 6 and (4) ≠ 8: 30.
1. To find the total number of functions from A to B, we need to determine the number of possible mappings for each element in A. Since there are 5 elements in A and 7 elements in B, each element in A has 7 choices of elements in B to map to. Therefore, the total number of functions from A to B is 7^5 = 16807.
2. To count the number of injective (one-to-one) functions, we need to ensure that no two distinct elements in A are mapped to the same element in B. Since A has 5 elements and B has 7 elements, the first element in A has 7 choices, the second element has 6 choices (excluding the element already chosen for the first), the third element has 5 choices, the fourth has 4 choices, and the fifth has 3 choices. Therefore, the number of injective functions from A to B is 7 * 6 * 5 * 4 * 3 = 2520.
3. For (1) = 14, we need to assign the element 14 in B to one of the elements in A. There are 5 choices for this assignment. For (2) = 2, we need to assign the element 2 in B to one of the remaining elements in A. There are 4 choices for this assignment. Therefore, the number of functions from A to B with (1) = 14 and (2) = 2 is 5 * 4 = 20.
4. For (3) = 6, we need to assign the element 6 in B to one of the elements in A. There are 5 choices for this assignment. For (4) ≠ 8, we need to assign any element in B except 8 to one of the remaining elements in A. There are 6 choices for this assignment. Therefore, the number of functions from A to B with (3) = 6 and (4) ≠ 8 is 5 * 6 = 30.
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How many real sixth roots does -729 have?
Answer:
it has none
Step-by-step explanation:
Answer:
6√-729 is : 4.88147452844536
The total length of these planks is 92 metres. Work out the number of planks of length 2 metres in Ben workshop.
Answer: 13
Step-by-step explanation:
Find the measure of exterior angle 1
A cell phone company uses the equation C=$0.15t+$35.00 to determine the total cost, C, for a month of service based on the number of text messages, t. Identify the slope.
Slope is $0.15 of the equation of cost C=$0.15t+$35.00.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Given that A cell phone company uses the equation C=$0.15t+$35.00
C is the total cost for a month of service.
t is the number of text messages.
We have to find the slope of the equation.
slope is 0.15 and 35.00 is the y intercept of the equation given.
Hence, slope is $0.15 of the equation of cost C=$0.15t+$35.00.
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Can anyone round the number 277235.2251 for me please. Asap please!!!
Answer:
277,235.23
Step-by-step explanation:
You have to round to the nearest 0.01 or you can call it the Hundredths Place.
(3d - 7e)(2e + d) multiplying binomials
Answer:
4d x 5e is it simplified
Step-by-step explanation:
Change (3d - 7e) x (2e + d) to a simpler equation like (3d + d) x (-7e + 2e)
Combine the 2 and you'd get 4d x -5e. That's the most I can simplify it to for now. Hope this helps! The question wasn't clear
Z-12=4
what is Z worth?
Answer:
Z=16
Step-by-step explanation:
just add 12 to both sides so you are left with only Z on one side
Answer:
=16
Step-by-step explanation:
Simplifying
z + -12 = 4
Reorder the terms:
-12 + z = 4
Solving
-12 + z = 4
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + 12 + z = 4 + 12
Combine like terms: -12 + 12 = 0
0 + z = 4 + 12
z = 4 + 12
Combine like terms: 4 + 12 = 16
z = 16
Simplifying
z = 16
Brian is going to buy his first home for $220,000. He has to put $22,000 down. He needs to spread the payments over 180 months to get a 3. 5% fixed annual interest. What is the best estimate of the monthly payment?
The estimated monthly payment for Brian's home loan would $1413.52.
To calculate the best estimate of the monthly payment for Brian's home loan, we can use the formula for calculating a fixed-rate mortgage payment.
The formula for the monthly payment of a fixed-rate mortgage is:
M = P * (r * (1+r)^n) / ((1+r)^n - 1),
where M is the monthly payment, P is the principal amount (loan amount minus down payment), r is the monthly interest rate, and n is the number of monthly payments.
In this case, Brian's principal amount is $220,000 - $22,000 = $198,000 (loan amount minus down payment). The monthly interest rate is 3.5% / 12 = 0.0029 (converted from annual interest rate to monthly rate), and the number of monthly payments is 180.
Plugging in these values into the formula, we get:
M = $198,000 * (0.0029 * (1+0.0029)^180) / ((1+0.0029)^180 - 1).
M = $198,000 * (0.0029 * (1+0.0029)^180) / ((1+0.0029)^180 - 1)
M = $1413.52
Evaluating this expression gives us the best estimate of the monthly payment. However, the calculation involves complex mathematical operations, and it is recommended to use a financial calculator or spreadsheet software to obtain an accurate estimate.
Note: It's important to consult with a financial advisor or a mortgage professional to get precise and personalized information about mortgage terms, interest rates, and monthly payments based on individual circumstances and loan options available.
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A computer technician charges customers $75 per hour.
Let h represent the number of hours the technician works.
o f(h) = 75 + h
o f(h) = 75 + h
Of(h) = 75h
Of(h) = 75 - h
Answer:
C. f(h)=75h
Step-by-step explanation:
That is the answer, hope it helps!
Answer:
it is the first one f(h)=75+h
What is greater 9.95 or 9 10/11
The population of beetles in an experiment is modeled by the function f(t)=20(2)t3
, where t
is the number of weeks since the start of the experiment. When will there be 640
beetles?
Enter the correct value in the box.
There will be 640______beetles in
weeks
Answer:
There will be 640 beetles in 15 weeks
Step-by-step explanation:
f(t) = 20 (2)¬t/3
where ¬ symbol stands for raise to the power
according to the question,
640 = 20 (2)¬t/3
640/20 = 2¬t/3
2¬t/3 = 32
2¬t/3 = 2¬5
t/3 = 5
t = 5*3
t = 15 weeks
Identifiquen los lados correspondiente proporcionales y anoten las medidas que faltan para completar la tabla
Responder:
Por favor, consulte la explicación.
Explicación paso a paso:
De la imagen: Los lados ya están etiquetados en el diagrama y, por lo tanto, solo deben ingresarse en la tabla.
La suma de los ángulos de un triángulo es igual a 180 °; los ángulos en los triángulos son correspondientes, entonces;
Triángulo rojo:
Lado faltante = 3,75 cm
Triángulo verde:
12 cm
8 cm
Triángulo azul:
6 cm
4 cm
2,5 cm
Los ángulos que faltan:
Triángulo rojo:
180 - (135 + 28) °
180 ° - 173 °
= 17 °
Triángulo verde:
135 °; 28 °; 17 °
Triángulo azul:
135 °; 28 °
root( x-1 ) = 2 - root (x+3)
Answer:
\(x=1\)
Step-by-step explanation:
\(\sqrt{x-1} =2-\sqrt{x+3}\)
Square both sides.
\(\left(\sqrt{x-1}\right)^2=\left(2-\sqrt{x+3}\right)^2\)
\(x-1=x+7-4\sqrt{x+3}\)
Subtract x on both sides.
\(x-1-x=x+7-4\sqrt{x+3}-x\)
\(-1=-4\sqrt{x+3}+7\)
Subtract 7 on both sides.
\(-1-7=-4\sqrt{x+3}+7-7\)
\(-8=-4\sqrt{x+3}\)
Square both sides.
\(\left(-8\right)^2=\left(-4\sqrt{x+3}\right)^2\)
\(64=16x+48\)
Subtract 48 on both sides.
\(64-48=16x+48-48\)
\(16=16x\)
Divide both sides by 16.
\(\frac{16}{16} =\frac{16x}{16}\)
\(1=x\)
Switch sides.
\(x=1\)