The system of the equations that has a solution of (-2, 0, 1) will be x + y + z = -1, x + y + 2z = 0, and x + 2y + 3z = 1.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The system of the equations that has a solution of (-2, 0, 1) will be
Let the number of variables be x, y, and z.
Then we have
Then the first equation will be
x + y + z = -1
Then the second equation will be
x + y + 2z = 0
Then the third equation will be
x + 2y + 3z = 1
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ1
Add or Subtract to Simplify:
(4x - 2x3) + (5x3 - 4x + 5)
I need the answer ?
Answer: =3x^3+5
Step-by-step explanation: Hope this help :D
Pls help me with this
PLEASE LOOK AT PICURE THEN ANWSER, WHOEVER IS CORRECT I WILL MARK BRAINIEST :)
I need help with a Delta math Assignment
Gabriella made 5% of her free throws over the season. If she shot 180 free throws, how many did she make?
Answer:
9
Step-by-step explanation:
A small hair salon in Denver, Colorado, averages about 30 customers on weekdays with a standard deviation of 6. It is safe to assume that the underlying distribution is normal. In an attempt to increase the number of weekday customers, the manager offers a $2 discount on 5 consecutive weekdays. She reports that her strategy has worked since the sample mean of customers during this 5 weekday period jumps to 35.
Required:
What is the probability to get a sample average of 35 or more customers if the manager had not offered the discount?
Answer:
0.0314 = 3.14% probability to get a sample average of 35 or more customers if the manager had not offered the discount
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
A small hair salon in Denver, Colorado, averages about 30 customers on weekdays with a standard deviation of 6.
This means that [tex]\mu = 30, \sigma = 6[/tex]
5 consecutive weekdays.
This means that [tex]n = 5, s = \frac{6}{\sqrt{5}} = 2.6832[/tex]
What is the probability to get a sample average of 35 or more customers if the manager had not offered the discount?
This is 1 subtracted by the pvalue of Z when X = 35.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{35 - 30}{2.6832}[/tex]
[tex]Z = 1.86[/tex]
[tex]Z = 1.86[/tex] has a pvalue of 0.9686
1 - 0.9686 = 0.0314
0.0314 = 3.14% probability to get a sample average of 35 or more customers if the manager had not offered the discount
The volume of a sphere is 5000x m . What is the surface area of the sphere to the nearest
square meter?
Answer:
Step-by-step explanation:600
Gym A charges a registration fee of $75 plus $35.75 per month for members. Gym B charges a registration fee of $164 plus $17.95 for members. After how many months would the total cost at Gym A and Gym B be the same for members?
My teacher asked me 7 x 1/5 of 19, and I got immediately stumped. My brain is mush today.
Answer:
No lol that seems very confusing but was it 26.6?
Answer: 26.6
Step-by-step explanation:
7 times 1/5= 7/5
7/5 times 19= 26.6
I hope ti helps and may God bless you! have a nice day, bye!
If the maximum of a data set is 50 and the minimum of the set is 10, what is the range?
Answer:
40
explanation:
The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract the lowest number from the highest. The answer gives you the range of the list.
4. Find the greatest number which divides 171 and 251 leaving the remainders
3 and 6 respectively.
Answer:
The answer is 7.
Find the solution set of the inequality:
82 + 2 > 34
SOMEONE PLS HELP
Answer:
82+2>34
84>34
True
I hope this helps :)
Need some help :(
What is the speed of a jet plane that flies 8100 km in 9 hours?
A. 900 km/sec
B. 900 km/hr
C. 900 meters/sec
D. 900 km/hr/hr
I will give Brainliest !!
Answer:
::::::::::::::::
B. 900 km/h
Name 4 points that would form a square with the origin at is center.
9514 1404 393
Answer:
(2, 3), (-3, 2), (-2, -3), (3, -2)
Step-by-step explanation:
You can pick any point you like, then rotate it around the origin to the four quadrants (or axes) by the transformation ...
(x, y) ⇒ (-y, x) . . . . . . . . . 90° rotation CCW
That is a rotation 90° CCW. Of course a rotation CW can do the same thing for you.
__
One possible square is ...
(2, 3), (-3, 2), (-2, -3), (3, -2)
what is the answer to this?
Answer:
i can only say that you should use this forumla, the sins law
sin(a)/A = sin(b)/B = sin(c)/C
Step-by-step explanation:
A rectangular prism is shown.
What is the volume, in cubic inches, of this rectangular prisim
Answer:
Step-by-step explanation:
104 cubed , find the value of each side length x width x height
Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 27 dollars and a standard deviation of 8 dollars.
A. What proportion of the bank's Visa cardholders pay more than 32 dollars in interest?
B. What proportion of the bank's Visa cardholders pay more than 40 dollars in interest?
C. What proportion of the bank's Visa cardholders pay less than 19 dollars in interest?
D. What interest payment is exceeded by only 19% of the bank's Visa cardholders?
Here's link to the answer:
bit.[tex]^{}[/tex]ly/3a8Nt8n
CAN SOMEONE LLEASE HELP ME IM SO LOST!!
Answer: 1324 in^2
Step-by-step explanation:
Morty spent $54 on tulips and roses and bought a total of 14 flowers. If tulips cost $5 and roses $3
Let t = number of tulips bought
Let r = number of roses bought
a) Write the system.
b) How many of each flower did Morty buy? (Solve the system)
Answer:
a) Let's define the variables:
t = number of tulips bought
r = number of roses bought
We know that each tulip costs $5, and each rose costs $3.
Then the total cost will be:
$5*t + $3*r
We know that Morty spent a total of $54, then we have the equation:
$5*t + $3*r = $54
We also know that he bought a total of 14 flowers, then:
r + t = 14
Then the system of equations is:
$5*t + $3*r = $54
r + t = 14
b) To solve the system, first, we need to isolate one of the variables in one of the equations. I will isolate r in the second one:
r = 14 - t
Now we can replace this into the other equation:
$5*t + $3*r = $54
$5*t + $3*(14 - t) = $54
Now we can solve this for t.
$5*t + $3*14 - $3*t = $54
$2*t + $42 = $54
$2*t = $54 - $42 = $12
t = $12/$2 = 6
t = 6
He bought 6 tulips.
Now we can use the equation r = 14 - t
r = 14 - 6 = 8
r = 8
He bought 8 roses.
The prices (in dollars) for a particular model of digital camera with 6.0 megapixels and an optical 3X zoom lens are shown below for 10 online retailers. Estimate the true mean price for this particular model with 93% confidence. Assume the variable is normally distributed. Use a graphing calculator and round the answers to at least one decimal place.
225 236 217 202 231 185 193 185 245 217
Solution :
Let [tex]$x_i$[/tex] represents the prices for the digital camera.
[tex]$x_i$[/tex] [tex]$x_i^2$[/tex]
225 50625
236 55696
217 47089
202 40804
231 53361
185 35225
193 37249
185 34225
217 47089
[tex]$\sum x_i = 2136$[/tex] [tex]$\sum x_i^2 = 460388$[/tex]
Mean, [tex]$(\overline X) = \frac{\sum x_i}{n}$[/tex]
[tex]$=\frac{2136}{10}$[/tex]
= 213.6
Variance, [tex]$\sigma^2 = \frac{\sum x_i^2}{n}-(\overline X)^2$[/tex]
[tex]$ = \frac{460388}{10}-(213.6)^2$[/tex]
= 46038.8 - 45624.96
= 413.84
Therefore, standard deviation,
[tex]$\sigma = \sqrt{Var}$[/tex]
[tex]$=\sqrt{413.84}$[/tex]
= 20.343
Now to find the 93% confidence interval, the formula us
[tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]
For 93%, the value of z is 1.81
∴ Confidence interval = [tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]
C.I. = [tex]$213.6\pm 1.81 \times \frac{20.343}{\sqrt{10}}$[/tex]
[tex]$=213.6 \pm 11.6438$[/tex]
Therefore, lower bound = 213.6 - 11.6438
= 201.9562
Upper bound = 213.6 + 11.6438
= 225.2438
∴ [tex]$201.9562 < \mu < 225.2438$[/tex]
or [tex]$202< \mu < 225.2$[/tex]
Which trigonometric function is an odd function and why?
Answer:
Last one D.
Step-by-step explanation:
Just remember x, f(–x) = –f(x).
What single percentage change is equivalent to a 11% decrease followed by a 13% decrease?
Answer:
77.43% decrease
Step-by-step explanation:
A decrease of 11% = (100 - 11)% = 89% = [tex]\frac{89}{100}[/tex] = 0.89
A decrease of 13% = (100 - 13)% = 87% = [tex]\frac{87}{100}[/tex] = 0.87
A 11% decrease followed by a 13% decrease has an overall change of
0.89 × 0.87 = 0.7743 × 100% = 77.43%
What is the measure of angle XYZ?
Answer:
63degrees
Step-by-step explanation:
Using the theorem which states that the measure of angle at the vertex is half the angle of its intercepted arc.
Given
angle of its intercepted arc = 126 degree
Required
angle at the vertex = x =<XYZ
According to the theorem;
x = 1/2(126)
x = 126/2
x = 63
Hence the measure of <XYZ is 63degrees
01:09:23
What is the radius of this circle if the circumference is 18 cm?
0
3 cm
9 cm
18 cm
36 cm
Answer:
The formula for circumference of a circle is
2pi,R.
In which R= radius. Then we Insert 18 in for the circumstances.
so, 18=2πr
then solving for r
18=2
÷. ÷
2. 2
R = 9,,
Giving Brainlest !!!!! If your bank offered you 3% interest on $5,000 in your savings account , how much money would you have in your account at the end of the year after interest ?
Answer: $5,150
Step-by-step explanation:
5000x0.03=150+5000=5,150
A, B, C and D form the vertices of a parallelogram.
AD = 11.1cm, AB = 15.5cm and ZBAD = 71°.
Find the area of the parallelogram. Round to 1 DP.
Answer:
Area = 162.70 square centimetre.
Step-by-step explanation:
From the given question,
AD = 11.1 cm, AB = 15.5 cm and <BAD = 71°
The area of the parallelogram can be determined by;
Area = AD x AB x Sin <BAD
= 11.1 x 15.5 x Sin 71°
= 172.05 x 0.94552
Area = 162.67672
= 162.70 [tex]cm^{2}[/tex]
Therefore, the area of the given parallelogram is 162.70 square centimetre.
A race is 6.75 kilometers long. What is the distance of this race in meters?
Answer:
6750 meters
Step-by-step explanation:
1 kilometer = 1000 meters
1000*6.75=6750
Answer:
6750 meters
Step-by-step explanation:
Kilometers are equal to 1000 meters, so we can just multiply 6.75 x 1000 to get 6750 meters
A circle passes through the points (3,2) and (7,2) and has radius 2√2. Find the two possible equations for this circle
Answer:
18 because of its addition
Step-by-step explanation:
πr²=3+2+7+2+2+2
=5+9+4
=18
ASAP Point A, located at (-3, -3) is translated 6 units up, resulting in the location of point A'. What other transformation would result in the same location for point A'? A reflection in the x-axis A translation of 6 units to the left A reflection in the y-axis A rotation of 180°
~I KNOW ITS NOT A REFLECTION IN THE Y-AXIS
Answer:
(3,3)
Step-by-step explanation:
A reflection of this across the y-axis is (-3,3). A reflection of Point A, (-3,-3), over the x-axis is also (-3,3).
In a class of 7, there are 3 students who have done their homework.
If the teacher chooses 3 students, what is the probability that none of the three of them have done their
homework?
Choose 1 answer:
2/37
6/41
ОООО
5/29
4/35
Answer:
4/35
Step-by-step explanation:
Probability of 1 student having no hw is 4/7, then 3/6, then 2/5
4/7 x 3/6 x 2/5 reduces to 4/35
Marcus has a bag of 10
red chips, 15 blue chips,
and 5 black chips. How
many times would he
expect to pick a red chip if
he did the experiment 60
times?
A) 10
B) 20
C) 30
D) 45
PLEASE HELP THIS IS DUE TODAY
Answer:
B
Step-by-step explanation:
Marcus can expect to have red chip 20 times.
What is probability?Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen.
Given that, Marcus has a bag of 10 red chips, 15 blue chips, and 5 black chips.
He did an experiment 60 times and we need to find that how many times would he expect to pick a red chip,
So,
Here the favorable outcomes = red chips (10)
Total outcomes = all the chips = 15+5+10 = 20
So, the probability of finding a red chips for the 60 times = 10/20 x 60
= 30
Hence, Marcus can expect to have red chip 20 times.
Learn more about probability, click;
https://brainly.com/question/30034780
#SPJ2