Answer:
3p + q =7
2p - 2q = -6
6p +2q = 14
2p -2q = -6
8p = 8
p = 1
so q = 4
Step-by-step explanation:
Answer:
P= 1, q= 4
Step-by-step explanation:
3p + q = 7 -------------(1)
q=7-3p ------------------(1a)
2p- 2q= -6 -------------(2)
Substitute (1a) in (2)
We have :
2p - 2( 7- 3p) = -6
2p -14 + 6p = -6
8p= 14-6= 8
P= 8/8 =1
From, q=7 -3(1)
q= 7-3
q= 4
Randal's dad is installing a new pool in their backyard. The pool is a square and has an area of 121ft2. Randall's dad will then build a 4ft wide deck to surround the pool. What is the outside perimeter of the deck?
A. 28 ft.
B. 100 ft.
C. 75 ft.
D. 44 ft.
Answer:
I think it's 44
Step-by-step explanation:
mitos com a 15 A landscape designer is designing a garden in the shape of a right triangle. Which of the following could NOT be the lengths of the sides of the triangle? A 16 m, 30 m, 34 m B 10 yd, 14 yd, 17 yd 10 yd, 10.5 yd, 14.5 yd 18 ft, 24 ft, 30 ft C D
Answer:
B. 10 yd., 14 yd., 17 yd.
Step-by-step explanation:
In a right triangle, the squares of the sums of the two shorter sides must equal the square of the longer side(which is the hypotenuse)
From the combinations given only the set 10 yd, 14 yd. and 17 yd does not obey this rule
10² + 14² = 296
17² = 298
So this does not match
Ana uses 58 beads to make a necklace. She plans to sell 36 necklaces at each craft fair she goes to this summer. She plans to go to 4 craft fairs this summer. What is the total number of beads that Ana will use to make the necklaces she plans to sell at the 4 craft fairs?
Answer:
8064Step-by-step explanation:
56 beads for each necklace,36 necklaces at each craft,4 craft fairsTotal number of beads:
56*36*4 = 8064Determine the following ratio
Using relations in a right triangle, the secant of angle θ is given by:
D. 5/4.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.Using the Pythagorean Theorem, the hypotenuse of the triangle is given as follows:
h² = 9² + 12²
h = sqrt(9² + 12²)
h = 15.
The secant of an angle is 1 divided by the cosine, hence:
cos(θ) = 12/15 = 4/5.sec(θ) = 5/4.Which means that option D is correct.
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A meteorologist records the temperatures throughout the day in Chicago, Illinois. The table shows the different temperatures. Which statement compares the temperature at 8:00 a.m. to the temperature at 8:00 p.m. correctly?
Answer:
The temperature at 8:00 p.m. is greater than the temperature at 8:00 a.m. because 15 is farther to the right on a horizontal number line than -12.
Step-by-step explanation:
The temperature at 8:00 p.m. is greater than the temperature at 8:00 a.m. because 15 is farther to the right on a horizontal number line than -12. Therefore, option B is the correct answer.
Given that, a meteorologist records the temperatures throughout the day in Chicago, Illinois.
What is an Integer?Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.
Compare the temperature at 8:00 a.m. to the temperature at 8:00 p.m.
Here,
The temperature at 8:00 p.m. is greater than the temperature at 8:00 a.m.
The difference between the temperatures is 15-(-12)=27° C
The temperature at 8:00 p.m. is greater than the temperature at 8:00 a.m. because 15 is farther to the right on a horizontal number line than -12. Therefore, option B is the correct answer.
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There are 560 third- and fourth-grade students in King Elementary School. If there are 80 more third-graders than fourth-graders, how many third-graders are there in the school? work has to be shown
Answer:
There are 200 4th grades and 360 third graders
Step-by-step explanation:
560/2=280-80=200 280+80=360
Answer plz plz plz plz plz
Answer:
if it is reflected on the y axis, it will be moved to quadrant 2(top left). if it reflects over the x axis, it will move to quadrant 4(bottom right).
The price of a cup of coffee has dropped to $2.50 today. Yesterday's price was $2.75. Find the percentage decrease. Round your answer to the nearest tenth of
a percent.
Answer:
9.1%
Step-by-step explanation:
The price of a coffee has dropped to $2.50
Yesterday the price was $2.75
Therefore the percentage decrease can be calculated as follows
= 2.50 - 2.75/2.75 × 100
= -0.25/2.75 ×100
= 0.09090 × 100
= 9.1%
Hence the percentage decrease is 9.1%
What is the value of y in this linear system?
x + y + z = 62
x - y = 12
2x + y + z = 92
HELPPP!
Answer:
The values of the variables in the given linear system are:
x = 30
y = 18
z = 14
Step-by-step explanation:
To find the value of y in the linear system, we can solve the system of equations:
x + y + z = 62
x - y = 12
2x + y + z = 92
We'll use the method of elimination to solve this system. We'll start by eliminating the y variable.
From equation 2), we can rewrite it as y = x - 12.
Now let's substitute this value of y in equations 1) and 3):
x + (x - 12) + z = 62
2x - 12 + z = 62
2x + z = 74 ----(4)
2x + (x - 12) + z = 92
3x - 12 + z = 92
3x + z = 104 ----(5)
Now we have a system of two equations with two variables (x and z). Let's solve this system.
Subtract equation (4) from equation (5):
(3x + z) - (2x + z) = 104 - 74
3x - 2x + z - z = 30
x = 30
Substituting the value of x back into equation (4):
2(30) + z = 74
60 + z = 74
z = 74 - 60
z = 14
Now we have the values of x and z. We can substitute these values into equation (2) to find y:
x - y = 12
30 - y = 12
-y = 12 - 30
-y = -18
y = 18
Therefore, the value of y in the given linear system is 18.
Answer:
Values are:
x = 30
y = 18
z = 14
Step-by-step explanation:
30 + 18 + 14 = 62
30 - 18 = 12
2*30 + 18 + 14 = 92
A lie-detector works correctly with 80% probability when the person is lying, and with 90% probability when the person is not. Assume that in a given court, typically 70% of the people who have to be tested with the lie-detector do not say the truth. On the long run, which percentage of time does the lie detector make a mistake?
Answer:
the time percentage is 17%
Step-by-step explanation:
The computation of the time percenatge in the case when the detector lie and done with the mistake is as follows:
L denotes the event in which a person is lying.
NL denotes the event in which a person is not lying.
C denotes the event in which that lie detector works correctly
NC denotes the event in which lie detector is not working correctly
Now
P(C|L) =0.8
And,
P(NC|L) is
=1 - .8
= 0.2
P(C|NL) =0.9
P(NC|NL) is
= 1 -.9
=.1
P(L) = 0.7
P(NL) is
= 1 - .7
= .3
Now
P(NC) =P(NC|L) × P(L) + P(NC|NL) × P(NL)
=. 2 × .7 + .1 ×.3
=. 14+.03
= 0.17
Hence, the time percentage is 17%
A delivery company is logging the number of miles each employee drives each day. The company found an average of about 85.6 miles. Assume that the standard deviation is 9.85 miles and that a random sample of 50 drivers was used to determine the average. Which statements are true about this situation?
The 99% confidence interval is from about 81.43 to 90.58 miles.
The 95% confidence interval is from about 82.87 to 88.33 miles.
The margin of error for 99% confidence is about 3.59 miles.
The sample isn’t large enough to use a normal distribution.
The margin of error for 95% confidence is about 2.52 miles.
Answer:
B. The 95% confidence interval is from about 82.87 to 88.33 miles.
C. The margin of error for 99% confidence is about 3.59 miles.
Step-by-step explanation:
No cheese detected or anything hehehe
What's the problem with using the sine law to solve for an angle in a non-right triangle if the triangle is not
drawn to scale
9514 1404 393
Answer:
there are two solutions under some circumstances
Step-by-step explanation:
If the given data is two sides, and the angle opposite the shorter of them, then there will be two solutions. Which of the solutions is applicable may be resolved in the triangle is drawn to scale.
If the triangle is not drawn to scale, then there may be no way to resolve an ambiguous case.
__
If a known angle is opposite the longest side, there is no ambiguity.
A commission is a fee paid to a salesperson based
on a percent of sales. Suppose a salesperson at a
jewelry store earns a 6% commission. What
commission would be earned for selling a ring
that cost $1300 dollars?
Answer:78
Step-by-step explanation:
1300x0.06=78
The commission by the salesman on the jewelry is $78.
What is commission?A sales commission is a sum of money paid to an employee upon completion of a task, usually selling a certain amount of goods or services.
Given that, a salesperson at a jewelry store earns a 6% commission. The worth of the jewelry is $1300
The commission on the jewelry =
6% of $1300
= 1300 × 6 / 100
= 13 × 6
= 78
Hence, he earned $78 as commission.
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Help please
Rotation
Translation
Reflection
show your work” below and solve the given equation for x showing all your steps.
3.5(6 – x) + 14 = 7 – 1.5(5x + 16)
please make the steps as clear as you can for brainliest!
Answer:
x=-13
Step-by-step explanation:
21-3.5x+14=7-7.5x-24
21+14-3.5x=7-24-7.5x
35-3.5x=-17-7.5x
35+17=3.5x-7.5x
52=-4x
-4. -4
x=-13
28
6. Hannah has 229 horse stickers and
164 kitten stickers. How many more
horse stickers than kitten stickers does
Hannah have?
Subtract 229 and 164 its 65 so thats your answer .
A machine used to regulate the amount of a certain chemical dispensed in the production of a particular type of cough syrup can be set so that it discharges an average of milliliters (ml) of the chemical in each bottle of cough syrup. The amount of chemical placed into each bottle of cough syrup is known to have a normal distribution with a standard deviation of 0.250 ml. If this machine discharges more than 2 ml of the chemical when preparing a given bottle of this cough syrup, the bottle is considered to be unacceptable by industry standards. Determine the setting for so that no more than 1% of the bottles of cough syrup prepared by this machine will be rejected.
Answer:
The mean value of the chemical to be added to every bottle of syrup so that the bottle wont be rejected would be = 1.41750 ml
Step-by-step explanation:
Standard deviation ( σ )= 0.250 ml
assume the required amount of chemical to be deposited in each syrup bottle to be X
Hence the distribution of X in each bottle can be represented as :
X Г N ( u , 0.250 )
for a bottle not to be rejected : P ( X ≤ 2 )
To determine the setting so that no more than 1% of the bottles of cough syrup prepared by this machine will be rejected we have to standardize the variable X
at X = 2 ml
\(\frac{x - u }{std} = \frac{2 - u}{std}\)
z = \(\frac{2-u}{0.250}\) = z ----------- ( 1 )
probability for a bottle to be rejected : P( x >2 ) = 1 - P ( x ≤ 2 )
= 0.01
attached below is a normal distribution curve showing probability values
from the curve
p( 0 < Z < z ) = 0.5 - 0.01 = 0.49
Area = 0.49 hence from the Normal table where area = 0.49 the value of z = 2.33
Referring back to equation 1 above: z = \(\frac{2-u}{0.250}\) = 2.33 --------- (2)
u = mean value that should be added so that the bottle will not be rejected
make u subject of the equation : u = 2 - ( 2.33 * 0.250 )
u = 1.41750
The mean value of the chemical to be added to every bottle of syrup so that the bottle wont be rejected would be = 1.41750 ml
In the figure below, points X, Z, Q, R, and S lie in plane P. Points T and Y do not lie in plane P.
For each part below, fill in the blanks to write a true statement.
The blank spaces in the statements area. S, R, and Q are distinct points that are collinear: b. TX and QS are distinct lines that intersect. c. Point Y and line QS are coplanar. d. Another name for plane P is: plane QSY.
What are Colinear Points?Points that lie on the same straight line are collinear points.
If two lines are lie on the same plane, they are referred to as coplanar lines.
(a.) S, R, and Q are on a straight line. Therefore S, R, and Q are distinct points that are collinear.
b. TX and QS are distinct lines that intersect.
c. Point Y and line QS are on the same plane. Therefore:
Point Y and line QS are coplanar.
d. Another name for plane P is: plane QSY.
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A set of books sits on a shelf at a store. This line plot shows the thickness of each book. Jessica buys one of the second thinnest books on the shelf. Jada buys the second thickest book on the shelf.
How much thicker is Jada's book than Jessica's book?
Enter your answer in the Box as a mixed number in simplest form.
Please help.
Answer:
2 inches
Step-by-step explanation:
if there are 2 books that are 1 1/2 thick, the second thinnest book would be 1/12... the second thickest book im guessing would be 3 1/2, so you'd have 2 inches in between
Answer: the answer is, 2 and one half
Step-by-step explanation: I took the test. Please give brainliest
A sequence can be generated by using an= 3an-1, where a1 = 10 and n is a whole number greater than 1.
What are the first 3 terms in the sequence?
A. 3, 13, 23
B. 10, 30, 90
C. 10, 13, 16
D. 3, 30, 300
Answer:
B
Step-by-step explanation:
using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then
a₁ = 10
a₂ = 3a₁ = 3 × 10 = 30
a₃ = 3a₂ = 3 × 30 = 90
the first 3 terms are 10 , 30 , 90
does the equation 4(2x+3)=16x+12-8x have one solution, infinitely many solutions, no solution, or two solutions.
Answer:
Infinite number of solutions
Step-by-step explanation:
Use distributive property to eliminate the parenthesis on the left:
8 x + 12 = 16 x + 12 - 8 x
combine like terms on the right:
8x+ 12 = 8 x + 12
subtract 12 from both sides
8 x = 8 x (notice both sides are identical)
subtract 8 x from both sides
0 = 0
This is a true statement that takes place for whatever x-value we use in the original equation. Therefore, the equation has infinite number of solutions (any real number "x")
Find the value of the expression 1/2 x + 3 if x = 12.
Answer:
= 9
Step-by-step explanation:
1/2 (12) +3 = 9
Hope this helps!
Bir bahçede 18 elma, 24 armut ve 63 kiraz ağacı bulunmaktadır. Bu bahçedeki kiraz ağaçlarının sayısı toplam ağaç sayısının yüzde kaçıdır ?
Lütfen acil cevaplayabilir misiniz
18+24+63=? işlemini yapman gerek sonra sonuçtan ?-63=? işlemini yapacaksın sonra o sonucu 100 e bölüp sonucu bulcan
eight hundred twenty nine and six tenths as a decimal
The B&K Real Estate Company sells homes and is currently serving the Southeast region. It has recently expanded to cover the Northeast states. The B&K realtors are excited to now cover the entire East Coast and are working to prepare their southern agents to expand their reach to the Northeast.
B&K has hired your company to analyze the Northeast home listing prices in order to give information to their agents about the mean listing price at 95% confidence. Your company offers three analysis packages: one based on a sample size of 100 listings, one based on 1,000 listings, and another based on a sample size of 4,000 listings. Because there is an additional cost for data collection, your company charges more for the package with 4,000 listings than for the package with 100 listings.
Bronze Package - Sample size of 100 listings:
95% confidence interval for the mean of the Northeast house listing price has a margin of error of $24,500
Cost for service to B&K: $2,000
Silver Package - Sample size of 1,000 listings:
95% confidence interval for the mean of the Northeast house listing price has a margin of error of $7,750
Cost for service to B&K: $10,000
Gold Package - Sample size of 4,000 listings:
95% confidence interval for the mean of the Northeast house listing price has a margin of error of $3,900
Cost for service to B&K: $25,000
The B&K management team does not understand the tradeoff between confidence level, sample size, and margin of error. B&K would like you to come back with your recommendation of the sample size that would provide the sales agents with the best understanding of northeast home prices at the lowest cost for service to B&K.
In other words, which option is preferable?
Spending more on data collection and having a smaller margin of error
Spending less on data collection and having a larger margin of error
Choosing an option somewhere in the middle
For your initial post:
Formulate a recommendation and write a confidence statement in the context of this scenario. For the purposes of writing your confidence statement, assume the sample mean house listing price is $310,000 for all packages. "I am [#] % confident the true mean . . . [in context]."
Explain the factors that went into your recommendation, including a discussion of the margin of error
For your response posts to your peers, choose two different confidence intervals for your responses. Do you think the agents would prefer a different confidence interval than their management? What advantages and disadvantages would there be in having different confidence intervals for the agents? Explain your thought process and reasoning in your response.
Step-by-step explanation:
Based on the provided information, I would recommend B&K Real Estate Company to choose the Silver Package with a sample size of 1,000 listings. This option strikes a balance between cost and accuracy, providing a reasonable margin of error while minimizing the cost for the service.
Confidence Statement:
"I am 95% confident that the true mean of the Northeast house listing prices falls within the estimated range, based on a sample size of 1,000 listings."
Factors Considered:
Cost: The cost for the Silver Package is $10,000, which is lower than the Gold Package but higher than the Bronze Package. B&K can achieve a reasonably accurate estimate of the mean listing price at a lower cost compared to the Gold Package.
Margin of Error: The margin of error for the Silver Package is $7,750. While it is larger than the Gold Package, it is significantly smaller than the Bronze Package. The margin of error represents the range within which the true mean of listing prices is likely to fall. With a smaller margin of error, the estimated mean is more precise, providing a better understanding of the Northeast home prices compared to the Bronze Package.
Sample Size: The sample size of 1,000 listings in the Silver Package is larger than the Bronze Package but smaller than the Gold Package. A larger sample size generally leads to a more accurate estimate of the population mean. Although the sample size in the Gold Package is larger, the incremental gain in accuracy is not significant enough to justify the higher cost.
Response to Peers:
Response 1:
If the agents prefer a higher confidence interval, such as 99%, compared to the management's 95% confidence interval, it would require a larger sample size to achieve the desired accuracy. This could result in increased costs for data collection. However, a higher confidence interval provides greater confidence in the estimated mean listing price, giving the agents more assurance when making decisions. The advantage is a higher level of confidence, but the disadvantage is the increased cost associated with a larger sample size.
Response 2:
If the agents prefer a lower confidence interval, such as 90%, compared to the management's 95% confidence interval, it would require a smaller sample size to achieve the desired accuracy. This could reduce the cost for data collection. However, a lower confidence interval means a wider margin of error and less certainty in the estimated mean listing price. The advantage is the cost savings, but the disadvantage is a lower level of confidence in the estimate, potentially leading to more uncertainty for the agents when making decisions
A rectangular area 100 miles long is twice as long as wide. Length of fencing needed to enclose this area?
10√2
Step-by-step explanation:
i thin so it will be ans
Review the simple interest rate based on FICO scores to answer the question:
FICO Score Simple Interest Rate
800–850 5.295%
740–799 6.597%
670–739 9.132%
580–669 10.358%
300–579 14.313%
Kamryn plans to borrow $13,250.00 with a simple interest rate loan. Determine the amount of interest Kamryn will save if she is able to raise her credit score from 665 to 680.
Kamryn would save $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.
To determine the amount of interest Kamryn will save by raising her credit score from 665 to 680, we need to compare the interest rates associated with each credit score range.
According to the given information, a credit score of 665 falls within the range of 580-669, where the corresponding simple interest rate is 10.358%.
Let's calculate the interest Kamryn would pay on a loan of $13,250.00 at an interest rate of 10.358%.
Interest = Principal * Rate
= $13,250.00 * 0.10358
≈ $1,370.56
Therefore, if Kamryn were to borrow $13,250.00 with a credit score of 665, she would pay approximately $1,370.56 in interest.
Now, let's consider the scenario where Kamryn raises her credit score to 680. A credit score of 680 falls within the range of 670-739, where the corresponding simple interest rate is 9.132%.
Calculating the interest with a credit score of 680:
Interest = Principal * Rate
= $13,250.00 * 0.09132
≈ $1,210.57
Thus, if Kamryn were able to raise her credit score from 665 to 680, she would save approximately $1,370.56 - $1,210.57 = $159.99 in interest.
Therefore, Kamryn would save approximately $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.
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what is the probability that the sample mean for a sample of size 35 will be at least 26?use the results from above in your calculation and round your answer to the nearest percent. you may use a calculator or the portion of the z-table given below.
1% is the probability that the sample mean for a sample of size 35 will be at least 26.
To calculate the probability, we need to use the central limit theorem, which states that the sampling distribution of the sample mean is approximately normal, with mean μ and standard deviation σ/√n, where μ is the population mean, σ is the population standard deviation, and n is the sample size.
Since we do not have the population mean and standard deviation, we will assume that they are unknown and use the sample mean and standard deviation instead. We will also assume that the sample is a random sample and that the sample size is sufficiently large (n ≥ 30).
We can use the z-score formula to calculate the probability as follows:
z = (X - μ) / (σ / √n)
where X is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.
In this case, we want to find the probability that the sample mean is at least 26, so we can rewrite the formula as:
z = (26 - X) / (s / √35)
where s is the sample standard deviation.
We can then use the z-table to find the probability that corresponds to the calculated z-score. The portion of the z-table provided gives the probability for the area under the curve to the left of the z-score.
Using a calculator, we can calculate the z-score as follows:
z = (26 - X) / (s / √35) = (26 - X) / (4.2 / √35)
Assuming a significance level of α = 0.05 (corresponding to a confidence level of 95%), we can find the z-score that corresponds to the area to the left of α/2 = 0.025 in the z-table, which is approximately 1.96.
Therefore, we can rewrite the formula as:
1.96 = (26 - X) / (4.2 / √35)
Solving for X, we get:
X = 26 - 1.96 * (4.2 / √35)
X ≈ 24.59
So, the probability of obtaining a sample mean of at least 26 is equivalent to the probability of obtaining a z-score of:
z = (26 - 24.59) / (4.2 / √35) ≈ 0.98
Using the z-table, we can find that the probability corresponding to a z-score of 0.98 is approximately 0.8365 or 83.65%.
Rounding to the nearest percent, we get the answer B. 1%.
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Correct question:
What is the probability that the sample mean for a sample of size 35 will be at least 26?
A. 0.01%
B. 1%
C. 5%
D. 10%
Find the 70th term of the arithmetic sequence -26, -19, -12
Answer:
457
Step-by-step explanation:
The general term of an arithmetic sequence is given by ...
an = a1 +d(n -1)
where a1 is the first term (-26), and d is the common difference (7).
The 70th term of your sequence can be found by putting the numbers into this formula:
a70 = -26 +7(70 -1) = -26 +483
a70 = 457
The 70th term of the sequence is 457.
In the diagram below, what is the ratio of unshaded parts to shaded parts?
4 shaded triangles and 12 unshaded triangles.
4 unshaded to 9 shaded
9 unshaded to 4 shaded
3 unshaded to 1 shaded
1 unshaded to 3 shaded
Answer:
The answer is D.
Step-by-step explanation:
I hope this helps :D