Answer:
The number of negative integers given determines the sign of the product.
Step-by-step explanation:
The sign of the product could either be negative or positive. This depends on the number of negatively directed integers in the given integers to be multiplied. Since all integers are directed numbers i.e either positive whole numbers or negative whole numbers.
Thus to know the sign of the product, if the number of negative integers is even, then the product would be positive. But if the number of negative integers is odd, the product would be negative.
Therefore, the number of negative integers given determines the sign of the product.
The factors of x² + x² +1 are
a) (x² + x + 1) (x²-x-1)
b) (x²-x + 1) (x² + x + 1)
c) (x-1) (x² + 1)
d) none of these
Suppose Martha has a job sewing zippers on down parkas. She gets 20 percent faster each day she works for the first ten days. If Martha can do 60 parkas the first day, about how many will she probably be able to handle by the end of the sixth day?
Tell whether the statement below is always, sometimes, or never true. The composition of two reflections results in a translation.
The composition of two reflections results in a translation. This is true.
What is a reflection?A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. The line of reflection is formed when an image reflects through a line. A figure is said to reflect another figure when every point in one figure is equidistant from every point in another figure.
A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation.
In this case, composition of reflections across two parallel lines is the translation.
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The weights of items produced by a company are normally distributed with a mean of 4.5 ounces and a standard deviation of 0.3 ounce. a. What is the probability that a randomly selected item from the production will weigh at least 4.14 ounces? b. What percentage of the items weighs between 4.8 and 5.04 ounces? c. Determine the minimum weight of the heaviest 5% of all items produced. d. If 27,875 items of the entire production weigh at least 5.01 ounces, how many items have been produced?
Answer:
The right solution is:
(a) 0.8849
(b) 12.28%
(c) 4.9935
(d) 28004
Step-by-step explanation:
Given:
Mean,
= 4.5
Standard deviation,
= 0.3
(a)
P(x > 4.14)
As we know,
⇒ \(z = \frac{4.14-4.5}{0.3}\)
\(=-1.20\)
then,
⇒ \(P(z>-1.20) = P(z<1.20)\)
\(=0.8849\)
(b)
P(4.8 < x < 5.04)
= \(P(\frac{4.8-4.5}{0.3} < \frac{x-\mu}{\sigma} < \frac{5.04-4.5}{0.3} )\)
= \(P(1<z<1.80)\)
= \(P(z<1.80)-P(z<1)\)
= \(0.9641 -0.8413\)
= \(0.1228\)
or,
= \(12.28\) (%)
(c)
P(x > x) = 0.05
z value will be,
= 1.645
⇒ \(1.645 = \frac{x - 4.5}{0.3}\)
\(x = 4.9935\)
(d)
P(x < 5.01)
⇒ \(z = \frac{x- \mu}{\sigma}\)
\(=\frac{5.01-4.5}{0.3}\)
\(=1.7\)
P(z < 1.70) = 0.9554
⇒ \(n = \frac{27875}{0.9954}\)
\(=28004\)
Perform the indicated operation.
(8-15i)+(-3+2i)
Answer:
5 - 13i
Step-by-step explanation:
Add the non-imaginary values:
8 + (-3) =
8 - 3 =
5
Add the imaginary values.
(-15i) + 2i =
-13i
Combine them to get: 5 - 13i.
Answer:
5-13i
Step-by-step explanation:
(8-15i)+(-3+2i)
Add like terms:
8-(-3)=5
-15i+2i=13i
So, 5-13i
Which of the following ordered pairs are solutions to the system of equations below?
(3x + 5y = 14
y = 1/2x + 5)
O (2.4)
0 (-2,4)
O (2,6)
O (-2,6)
Answer:
(- 2, 4 )
Step-by-step explanation:
Given the 2 equations
3x + 5y = 14 → (1)
y = \(\frac{1}{2}\) x + 5 → (2)
Substitute y = \(\frac{1}{2}\) x + 5 into (1)
3x + 5(\(\frac{1}{2}\) x + 5) = 14
3x + \(\frac{5}{2}\) x + 25 = 14
\(\frac{11}{2}\) x + 25 = 14 ( subtract 25 from both sides )
\(\frac{11}{2}\) x = - 11 ( multiply both sides by 2 )
11x = - 22 ( divide both sides by 11 )
x = - 2
Substitute x = - 2 into (2) for corresponding value of y
y = \(\frac{1}{2}\) × - 2 + 5 = - 1 + 5 = 4
solution is (- 2, 4 )
Triangles WILL GIVE BRAINLIEST
Answer:
A
Step-by-step explanation:
A
Answer:
Q9 - Option 1---- A - 15.6 Square Units
Q10 --Option --- (B) RECTANGLE
Step-by-step explanation:
Q9 --
Analyze:we know area of triangle = 1/2 ab sin theta
Where theta is the angle included between sides A and side B
Calculate:A = 5.2
B = 7
theta = 121 degrees
Area:1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units
Conclusion
The area of the triangle is 15.6 Square Units
Q10 - The cross-section of a right cylinder which is perpendicular to its base is a RECTANGLEOption --- (B) RECTANGLE
Hope this helps!
Q7.32.8 + # = 100 What is # ?
Somebody please help me on this math homework. ASAP
Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A. It is the graph of f(x) where the slope is increased by 11.
It is the graph of f(x) translated 11 units to the left.
It is the graph of f(x) translated 11 units up.
It is the graph of f(x) translated 11 units to the right.
B.
C.
OD.
The correct answer is C. It is the graph of f(x) translated 11 units to the left.
The correct answer is:
C. It is the graph of f(x) translated 11 units to the left.
When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.
In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.
The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.
Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.
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How to subtract fractions with different denominators?
Please explain step by step to get marked as brainliest!!
STEP ONE: Get a common denominator.
STEP TWO: Add or subtract the numerators.
STEP THREE: Simplify the result if needed. Notice that eg: 3/27 can be simplified, since the numerator and denominator are both divisible by 3.
And that's all there is to it! Final Answer
The following expression gives an approximate value of the total average credit card debt in a U.S. household
(in dollars) t years after 1995.
404t + 5740
Use this expression to predict what the total average credit card debt was or will be in the year 2000.
was)
Answer: In the year 2000, the total average credit card debt for a U.S. household will b
dollars.
Hint: The key here is to keep in mind that t is years since 1995, not the actual year.
Answer:
$7760
Step-by-step explanation:
To find the total average credit card debt for the year 2000, we need to substitute t = 5 into the given expression:
404t + 5740 = 404(5) + 5740
= 2020 + 5740
= 7760
If you currently makes 425 What is the gross they will earn If they work every week If the year
They will earn If they work every week If the year is $22100.
We have given that,
you currently make 425
We have to determine what is the gross they will earn If they work a week If the year.
We know that
A worker currently makes $425 per week
How many weeks in a year?1year=52 weeks
So by proportion find the amount that the worker will earn in one year
\(\frac{425}{x}\times \frac{\$}{weeks}\)
\(=\frac{x}{52}\times \frac{\$}{weeks}\)
\(x=52\times 425\)
x=22,100
Therefore, The answer is $22100.
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Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis). The test statistic in a left-tailed test is z = -1.63.
a. 0.1032; fail to reject the null hypothesis
b. 0.0516; reject the null hypothesis
c. 0.9484; fail to reject the null hypothesis
d. 0.0516; fail to reject the null hypothesis
Answer:
Option d
Step-by-step explanation:
The p-value is 0.0516 which is not statistically significant to reject the null hypothesis. Thus we will fail to reject the null hypothesis.
A
Find the recursive definition
of this sequence.
3, 10, 17, 24
an = an-1 + 10
a1 = 3
B
an = 10an-1
a₁ = 3
C
an = an-1+7
a₁
a₁ = 3
Hello! Here are the recursive definitions of the given sequence:
A) The sequence is increasing by 7 for each term, so the recursive definition can be written as:
a1 = 3
an = an-1 + 7
So, the recursive definition of the sequence is: 3, 3+7=10, 10+7=17, 17+7=24, ...
B) The second option given, "anan-1 + 10 a1 = 3" is not a recursive definition of the sequence.
C) The third option given, "San = 10an-1" is also not a recursive definition of the sequence because it uses a different variable 'S' instead of 'a'.
Which of the following would most likely reduce the monthly premium a policyholder pays for automobile insurance?
1. Buying a minivan
II. Maintaining an accident-free driving record over time
III. Paying a speeding ticket
IV. Taking a job with a longer commute by car
O I, II
O III, IV
O II, III
OI, IV
The factors that would most likely reduce the monthly premium a policyholder who pays for automobile insurance is -
Option A: I, II
What is insurance?
Insurance is a legal agreement, evidenced by a policy, under which a policyholder receives financial security or compensation from an insurance provider against losses. In order to make payments to the insured more manageable, the company pools the risks of its clients.
The factors that can affect the monthly premium a policyholder pays for automobile insurance include the type of vehicle, driving record, and other personal factors.
Out of the options given, buying a minivan and maintaining an accident-free driving record over time would most likely reduce the monthly premium a policyholder pays for automobile insurance.
Minivans are generally considered safer and less expensive to repair than other types of vehicles, and having an accident-free driving record indicates that the policyholder is a lower risk for filing a claim in the future.
Paying a speeding ticket and taking a job with a longer commute by car are unlikely to reduce the monthly premium a policyholder pays for automobile insurance.
Paying a speeding ticket indicates a violation of traffic laws and a higher risk for accidents, and a longer commute by car increases the risk of accidents and damages.
Therefore, the answer is buying a minivan and maintaining an accident-free driving record over time.
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Answer: option a (I, II)
Step-by-step explanation: Person above is correct!
Which is the completely factored form of 4x + 1Ox-6x?
2(x+3)(2x-1)
2x(x + 3)(2x- 1)
2x(x -3)(2x- 1)
2(x-3)(2x + 1)
Answer:
2(x+3)(2x-1)
Step-by-step explanation:
To be eligible for the swim team, the mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s). The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.
What is the maximum time (in seconds) that she can take on her last lap and still make the team?
52s is the maximum time that she can take on her last lap and still make the team.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that he mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s).
The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.
We need to find the maximum time (in seconds) that she can take on her last lap and still make the team
Let x be the maximum time (in seconds) that she can take on her last lap
60=(63+62+65+58+x)/5
300=63+62+65+58+x
300=248+x
Subtract 248 on both sides
300-248=x
x=52s
Hence, 52s is the maximum time that she can take on her last lap and still make the team.
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the dimension of the confirms room or 7.2 M * 11 M what is the area of the conference room
Step-by-step explanation:
Just multiply the two dimensions to get m^2 area
7.2 m * 11 m = 79.2 m^2
what is the answer to 4n-2n=4
Answer: n=2
Step-by-step explanation: 4n-2n=4
4(2)-2(2)=
8-4=4
Answer:
n=2
Step-by-step explanation:
Step by Step Solution:
More Icon
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*n-2*n-(4)=0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
2n - 4 = 2 • (n - 2)
Equation at the end of step
1
:
STEP
2
:
Equations which are never true
2.1 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
2.2 Solve : n-2 = 0
Add 2 to both sides of the equation :
n = 2
for a logistic regression model estimated as
P(personal loan=yes\income=x0=1\1+e6.3525--.0392x
The probability of accepting a personal loan offer for an individual with an income of 50,000 dollars (x=50) is 1.22%
The Odds of accepting the loan offer for this person is 0.0124
Question:
What is the odds ration of income? Round it to 5 decimal places.
a. 1.03998
b. 0.96156
c. Cannot be determined
The odds ratio of income is 1.00320, rounded to 5 decimal places.
The odds ratio of income can be calculated using the formula given below:
odds ratio = odds of personal loan when income increases by 1 unit
Odds of a personal loan is the ratio of probability of acceptance to probability of rejection.
Odds of personal loan = P(personal loan=yes) / P(personal loan=no)P(personal loan=yes) = 0.0122
P(personal loan=no) = 1 - P(personal loan=yes) = 0.9878
Odds of personal loan = 0.0122 / 0.9878 = 0.0124
The logistic regression model estimated as P(personal loan=yes|income=x) = 1 / (1 + e(-6.3525+0.0392x))
Hence, P(personal loan=yes|income=x) = 1 / (1 + e(-6.3525+0.0392x)) = 0.0122
P(personal loan=yes|income=x+1) = 1 / (1 + e(-6.3525+0.0392(x+1))) = 0.012414
We have, odds ratio = odds of personal loan when income increases by 1 unit
odds ratio = 0.012414 / 0.0124 = 1.0032 ≈ 1.00320
Round the answer to 5 decimal places = 1.00320
The odds ratio of income is 1.00320, rounded to 5 decimal places.
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How long did Lizzie practice on Thursday and Friday altogether?
W
P
♫
D
♫
Lizzie's Drum Practice
Monday
D
♫
D
KI
C
P
J
♫
♫
Tuesday Wednesday Thursday
= 5 minutes
♫
♫
♫
DONE
♫
Friday
7
4
1
4
minu
8
5
2
0
Answer:
Lizzie practiced for 7 + 4 + 14 + 20 = 45 minutes on Thursday and Friday altogether.
Step-by-step explanation:
How many times can 1/5 go into nine
Answer:
1.8
Step-by-step explanation:
please answer fast...............................
The coordinate of point R after the rotation is determined as = ( - 4, 7).
option A.
What is the rotation of a figure?A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction.
You can turn a figure 90°, a quarter turn, either clockwise or counterclockwise. When you spin the figure exactly halfway, you have rotated it 180°. Turning it all the way around rotates the figure 360°.
When a figure is rotated 180 degrees, each point of the figure is moved to a new position that is exactly opposite its original position with respect to a fixed center of rotation.
The initial coordinate of point R = ( 4, 7),
The new coordinate of point R after the rotation = ( - 4, 7)
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I need help can someone tell me which choice is correct?
Answer: A, C, D
Step-by-step explanation:
A is correct because Audrey reads 40 pages a day, and David reads 20. When you divide 40 by 20, you get 2. This means that 2 times 20 would be 40, and anything multiplied by 2 is "twice".
40 ÷ 20 = 2
2 × 20 = 40
B is not correct because after 6 days, Audrey reads 240 pages, and David reads only 120. We can figure this out by multiplying the pages read by 6.
Audrey: 40 × 6 = 240
David: 20 × 6 = 120
C is correct because when you subtract 20 from 40, you get 20. Since Audrey reads 40 pages a day and David reads 20, you can use this equation: 40-20 to figure the answer out. Audrey reads 20 more pages every day.
\(40-20=20\)
D is correct because after 2 days, Audrey will have read 80 pages, and David will have read 40 pages. When you subtract 40 from 80, you get 40 pages.
40 × 2 = 80
20 × 2 = 40
80 - 40 = 40
E is not correct because, after 3 days, Audrey will have read 120 pages, and David will have read 60 pages. One-third of 120 is 40, not 60. Three times 60 would be 180, not 120. So, This answer is incorrect.
Five times a number is 80 less than 7 times the number. Find the number.
Answer:
The answer is 40.
Step-by-step explanation:
If you do 40 x 5 the answer you get is 200. Which from there you can do 40 x 7 and get 280 which 280 - 200 is 80. Thus meaning the number would be 40. Hope this helps!
3. A phone company set the following rate schedule for an m-minute
call from any of its pay phones.
c(m) =
0.70 when m ≤ 6
0.70 + 0.24(m − 6) when m > 6 and m is an integer
0.70 + 0.24([m − 6] + 1) when m > 6 and m is not an integer
a. What is the cost of a call that is under six minutes?
b. What is the cost of a 14-minute call?
c. What is the cost of a 9 __
1
2
-minute call?
For a call that is under six minutes, the cost is $0.70, the cost of a 14-minute call is $2.62 and the cost of a 9-minute call is $1.90.
For a call that is under six minutes, the cost is $0.70.
This is because the rate schedule specifies that for m ≤ 6 minutes, the cost is a flat rate of $0.70.
For a 14-minute call, we can apply the second part of the rate schedule. Since 14 > 6 and 14 is an integer, the formula to calculate the cost becomes:
c(m) = 0.70 + 0.24(m - 6)
Plugging in m = 14:
c(14) = 0.70 + 0.24(14 - 6)
c(14) = 0.70 + 0.24(8)
c(14) = 0.70 + 1.92
c(14) = 2.62
Therefore, the cost of a 14-minute call is $2.62.
c. For a 9-minute call, we again apply the second part of the rate schedule. Since 9 > 6 and 9 is not an integer, the formula becomes:
c(m) = 0.70 + 0.24([m - 6] + 1)
Plugging in m = 9:
c(9) = 0.70 + 0.24([9 - 6] + 1)
c(9) = 0.70 + 0.24(4 + 1)
c(9) = 0.70 + 0.24(5)
c(9) = 0.70 + 1.20
c(9) = 1.90
Therefore, the cost of a 9-minute call is $1.90.
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maria , an experienced shipping clerk, can fill a certain order in 12 hours. , a new clerk, needs 13 hours to do the same job. Working together, how long will it take them to fill the order
It would take them approximately 6.24 hours (or 6 hours and 14 minutes) to complete the order if they work together.
To solve this problem, we can use the formula:
Time = Work ÷ Rate
Time is the time it takes to complete the job, Work is the amount of work to be done, and Rate is the rate of work.
Let's assume that the amount of work to be done is 1 (it doesn't matter what unit we use as long as we are consistent).
Then, Maria's rate of work is 1/12 (she can do 1 job in 12 hours) and the new clerk's rate of work is 1/13 (he can do 1 job in 13 hours).
If they work together, their combined rate of work is the sum of their individual rates:
Rate = Maria's rate + New clerk's rate
Rate = 1/12 + 1/13
Rate = (13 + 12) / (12 x 13)
Rate = 25 / 156
So, their combined rate of work is 25/156 jobs per hour.
Now, we can use the formula to find the time it takes for them to complete the job together:
Time = Work ÷ Rate
Time = 1 ÷ (25/156)
Time = 156/25
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The circle is divided into equal parts.
What fraction of the area of the circle is shaded?
+0
e
1
4
w|1
1
-
2
13% Complete
AZ
according to the given information we can say that the fraction of the area of the circle that is shaded is 1/4 or 0.25.
What is circle?Every point in a horizontal surface that is a certain distance above another point forms a circle (centre). It is a circle made out of point that are separated from each other in a horizontal direction as a result. At all angles, it is rotating symmetric about the centre. In the closed, two-dimensional plane of a circle, each pair of points is evenly separated from the "centre." A line that pierces the circle creates a specular symmetrical line. At all angles, it rotates symmetrically about the centre.
given,
If the circle is divided into two equal parts and one of them is shaded, then the shaded area is half of the total area of the circle. So the fraction of the area of the circle that is shaded is 1/2 or 0.5.
If the circle is divided into four equal parts and one of them is shaded, then the shaded area is one-fourth of the total area of the circle. So the fraction of the area of the circle that is shaded is 1/4 or 0.25.
Therefore, the answer depends on how many equal parts the circle is divided into and the number of shaded parts.
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The lottery prize is 2m on the 1st week, 5m on the 2nd week. 10m on the 3rd. 13m on
the 4th. 26m on the 5th and 29m on the 6th week.
a) How much is the prize in the 10th week?
b) How much more is the prize worth on the 14th week than the 11th week?
Answer:
a. $125 million
b. $259 million more
Step-by-step explanation:
Looking at the first 3 terms, 5 is 3 more than 2, and 10 is double 5. Knowing that, the pattern is every even term is 3 more than the previous odd, and every odd term is double the previous even. As a result, week 7's prize is $58m (29 * 2), week 8's is $61m (58 + 3), week 9 is $122m (61 * 2), and week 10 (what part a is asking for) is $125m (122 + 3).
Now for part 2. Week 11's prize would be $250m (125 * 2). Week 12's prize would be $253m (250 + 3). Week 13's would be $506 (253 * 2). Week's 14 would be $509 (506 + 3). Now, subtract 250 from 509 to find the difference in prize money, which is $259 million.