Answer:
(a) Always true
Step-by-step explanation:
In the case when there is a matrix of coefficient for a homogeneous system for n linear equations so it does not have an opposite and then the system would be have the infinite various solutions
So this is always true as in this it can be unique test or infinite.
So according to the given situation, the option a is correct
There are 196 people in
the Snow Bunnies Ski"
Club. They are taking
buses to Colorado
Each bus holds 60 peo-
ple. How many buses
are needed?
Answer:
they need 4 buses
60+60+60=180 that does not get you to 196 so you would add 1 more bus
which equals 4 buses
In 2010, the population of a city was 25,000. The
population increased by 20% in each of the next three
years. If this rate of increase continues, what will be the
population of the city in 2015?
Answer:
43,200
Step-by-step explanation:
25,000x .20=5,000
30,000 x .20=6,000
36,000x.20=7,200
43,200x.20=8,640
51,840x.20=10,368
6 = 14 - x
One step equations review
Answer:
x = 8
Step-by-step explanation:
6 = 14 - x
chance the equation around so it is solvable
14 - x = 6
14 - 6 = x
now solve
14 - 6 = 8
that means x equals 8 so
6 = 14 - 8
Answer:
x=8
Step-by-step explanation:
To solve for x...
6 = 14 - x
Subtract 14 from both sides
6 - 14 = - x
Simplify
- 8 = - x
divide the - symble out of both sides to get x alone
x = 8
What's the height if a triangle with area of 20 units2
Answer:
10
Step-by-step explanation:
20/2=10
Jennifrr is flying a kite. The kite has an angle of elevation of 51 degrees and us flying on a 40 feet of string. If jennifer is holding the end of the string 6 feet off the ground, how high above thr ground is the kite? 45.6 ft 37.1 ft 54.7ft 31.2 ft
Answer:
37.1 ft
Step-by-step explanation:
Draw a right triangle with a horizontal side and a vertical side going up from one endpoint of the horizontal side. These two sides form the right angle of the triangle. Then draw a hypotenuse. The hypotenuse has length 40 ft. The acute angle at the end to the horizontal side measures 51°.
Let the length of the vertical side be y.
sin 51° = y/40
y = 40 * sin 51°
y = 31.1
The horizontal side of the triangle is not the ground. It is at the height of Jennifer's hand. Now we add 6 ft to the height.
31.1 ft + 6 ft = 37.1 ft
Answer: 37.1 ft
g Let X and Y be two independent standard normal random variables, i.e., each follows the distribution N (0, 1). Now, define two new random variables as Find cov(Z, W)
Answer: hello your question is incomplete below is the complete question
Let X and Y be two independent standard normal random variables, i.e., each follows the distribution N (0, 1). Now, define two new random variables as Z = 11 - X + X²Y, W = 3-Y. find cov ( Z, W )
answer : Cov ( Z, W ) = -1
Step-by-step explanation:
Z = 11 - X + X²Y
w = 3 - Y
Cov ( Z, W ) = Cov ( 11 - x + x^2 Y , 3 - Y )
= Cov ( 11, 3 ) - Cov ( 11, Y ) - Cov(x,3) + cov (x,y) + cov(x^2y, 3) -cov (x^2y, y )
attached below is the remaining part of the detailed solution
hence
Cov ( Z, W ) = -1
What is 12% of 50?
ОА.
6
ОВ.
7
Ос.
10
OD.
12
Answer:
a 6
Step-by-step explanation:
can i have brainlest
Please help!!!!! ASAP it’s a checkpoint
Answer:
Option A. x = –5 ± √133 / –6
Step-by-step explanation:
0 = –3x² + 5x + 9
From the above equation the following data were obtained:
Coefficient of x² (a) = –3
Coefficient of x (b) = 5
Constant (c) = 9
Using formula method, the solution to the equation can be obtained as follow:
x = –b ± √(b² – 4ac) / 2a
a = –3
b = 5
c = 9
x = –5 ± √(5² – 4 × –3 × 9) / 2 × –3
x = –5 ± √(25 + 108) / –6
x = –5 ± √133 / –6
Thus, option A gives the correct answer to the question.
Find the lateral and surface area for the pyramid with a regular base. Where necessary, round to the nearest tenth.
Answer:
Lateral area -288. Surface area-96
Step-by-step explanation: teacher told me
A manufacturer of MP3 players surveyed one hundred retail stores in each of the firm's sales regions. An analyst noticed that in the South Atlantic region the average retial price was $165 (mean) and the standard deviation was $30. However, in the Mid-Atlantic region the mean price was $170, with a standard deviation of $15. What do these statistics tell us about these two sales regions
Answer:
Kindly check explanation
Step-by-step explanation:
Given :
South Atlantic region :
Mean price = $165
Standard deviation = $30
Mid-Atlantic region :
Mean price = $170
Standard deviation = $15
Based on the mean price computed for the 100 retail stores in the study, we can conclude that the price of MP3 in the south Atlantic region is lesser than that of the mid Atlantic region ;
$165 < $170
However, we can conclude that the variation in the prices of MP3 varies greatly from one store to another in the south Atlantic region with a standard deviation of $30 while in the Mid Atlantic region, the prices are closer and less variable from one store to the other.
Which ordered pair is on the x axis?
Answer:
0,0
Step-by-step explanation:
In a nationally representative sample of 1,668 adult Americans, 930 indicated that they had checked their credit score within the last 12 months. Suppose of the 930 people that had checked their credit report within the last 12 months, 37% had done so as part of their regular financial planning. Does this provide convincing evidence that more than one-third of adult Americans who have checked their credit scores within the past 12 months did so as part of regular financial planning
Solution :
The one sample proportion summary hypothesis test is :
p : proportion of successes
[tex]$H_0: p = 0.33 $[/tex]
[tex]$H_a : p > 0.33$[/tex]
The hypothesis test result by using the statistical software is :
Total = 930
Sample proportion = 0.37
Standard error = 0.0157
Z-stat = 1.697
P- value = 0.0448
Therefore, the hypothesis [tex]$H_0:p = \frac{1}{3} \text{ versus}\ H_a: p > \frac{1}{3}$[/tex] is correct.
And conclusion : Fail to reject [tex]$H_0$[/tex]. As we do not have any convincing evidence that more than one-third of adult Americans who have checked their credit scores within the past 12 months did so as part of regular financial planning.
39 is what percent of 52?
Answer:
1.3 percent
Step-by-step explanation:
What is the solution to this equation?
In(2x + 4) = ln(x + 3)
The solution to this equation, [tex]ln(2x + 4) = ln(x + 3)[/tex] is [tex]x=(-1)[/tex] .
What is log ?A logarithm is the power to which a number must be raised in order to get some other number .
We have,
[tex]ln(2x + 4) = ln(x + 3)[/tex]
Now, apply log rules
As we have [tex](ln)[/tex] on both which will be cancel out,
⇒
[tex]2x+4=x+3[/tex]
[tex]3x=3-4[/tex]
[tex]x=(-1)[/tex]
So, on getting solution to the given equation we get the value of [tex]x=(-1)[/tex] .
Hence, we can say that the solution to this equation, [tex]ln(2x + 4) = ln(x + 3)[/tex] is [tex]x=(-1)[/tex] .
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I WILL GIVE BRAINIEST IF ANSWERED WITH CLEAR EXPLANATION AND ANSWERS.
Find the area of each figure. Round your answer to 2 decimal places if required. (Use = 3.14 if needed)
Answer:
285 ft²
Step-by-step explanation:
Hello There!
The figure shown is a composite figure so in order to find the total area we are going to need to split the irregular figure into two regular figures:
A parallelogram with the following dimensions
base = 15
height = 7
and a trapezoid with the following dimensions
base 1 = 11
base 2 = 13 (found by subtracting the height of the parallelogram ( 7 ) from the total height of the composite figure ( 20 ) 20 - 7 = 13 so the length of base 2 is 13 ft)
height = 15
Now that we have identified each dimensions of the two regular figures we need to find the area of each individual figure
For the parallelogram
The area of a parallelogram can simply be found by multiplying the height and the base
So A = 15 * 7
15 * 7 = 105 so the area of the parallelogram is 105 square feet
For the Trapezoid
The area of a trapezoid can be found by using this formula
[tex]A=\frac{a+b}{2} h[/tex] where a and b = bases and h = height
So using the information that we had found about the trapezoids dimensions we plug in the values
[tex]A=\frac{11+13}{2} 15\\11+13=24\\\frac{24}{2} =12\\12*15=180[/tex]
So the area of the trapezoid is 180 square feet
Finally we add the areas of the two regular figures
180 + 105 = 285
so we can conclude that the area of the composite figure is 285 ft²
Question 10 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
5
(-3,1)
(0,0)
5
-5
O A. y=-x
O B. y= 3x
O C. y=1
Х
O D. y= x
O E. y=-3x
O F. y = x
9514 1404 393
Answer:
D. y = -1/3x
Step-by-step explanation:
The line through the origin means the equation will be a proportion of the form y = kx. (You can also see this by looking at the answer choices.) The value of k is ...
k = y/x . . . . . divide the above equation by x
For the given point (x, y) = (-3, 1), the value of k can be seen to be ...
k = 1/-3 = -1/3
Then the equation for the line is ...
y = -1/3x . . . . matches D
Approximate 218.16 to the nearest tens.
What is the difference of 95,216 and 35,535? a59,681 b60,321 c60,781 D130,751
Answer:
the answer is A) 59, 681
Step-by-step explanation:
all you have to do is subtract
so 95,216 - 35,535= 59,681
hope i helped
-lvr
what is the cube root of 343/8?
Answer:
970.150503788
Step-by-step explanation:
the answer is 0.875 soo use square root on both of them
Use the method of elimination to determine whether the given linear system is consistent or inconsistent. If it is consistent, find the solution if it is unique, otherwise describe the infinite solution set in terms of an arbitrary parameter t. (Note that a system of equations is said to be consistent if it has at least one solution)
4x - 2y + 6z = 0
-y-z=0
- y + 3z = 0
Answer:
Step-by-step explanation:
From the given information;
We will realize that in the 2nd & 3rd equation, the integer "x" is missing.
So, the correct equation should be:
4x - 2 + 6z = 0
x - y - z = 0
2x - y + 3z = 0
By rearrangement; if we switch equation (1) and (2)
x - y - z = 0 ----- (1)
4x - 2 + 6z = 0 ------ (2)
2x - y + 3z = 0 ------ (3)
If we multiply equation (1) and add that to equation (2);
Then, we have:
x - y - z = 0
2y + 10z = 0
2x - y + 3z = 0
Also, if we multiply equation (1) by -2 and add that to equation (3), we have:
x - y - z = 0
2y + 10z = 0
y + 5z = 0
From above recent equation, if we swap equation (2) and (3);
x - y - z = 0
y + 5z = 0
2y + 10z = 0
Then, multiply equation (2) with -2, followed by adding it to equation(3);
Then:
x - y - z = 0
y + 5z = 0
0 = 0
Now, there exists no equation (3). Thus, let assume z = t to solve for x & y
y + 5z = 0
y = -5t
Similarly;
x - y - z = 0
x = -5t + t
x = -4t
Hence;
x = -4t; y = -5t; & z = t
Given the trapezoid below, Peter and
Christine each wrote different expressions to
find its perimeter.
w+2
4
4
6
Peter's expression: 6 + 4+ (w + 2) + 4
Christine's expression:
W + 16
Who is correct? Explain.
O Only Christine is correct.
O Only Peter is correct.
Both Christine and Peter are correct.
O Neither Christine or Peter is correct.
Vi
Answer:
Both.
Step-by-step explanation:
The perimeter of a trapezuun is given by : a + b + c + d ; where a, b, c, d are the lengtb of the sides of the trapezium.
The perimeter of the trapezium Given below is :
(4 + 6 + 4 + w + 2)
Evaluating both expressions :
Peter = 6 + 4 + (w + 2) + 4
Christine's expression = w + 16
From the expression, we can see that Peter's expression is correct s he wrote the sum of all the four sides
As for Christine's expression, it is also right ; as she added all the sides to obtain a reduced term
Hence, both are correct
Answer:
both of them are correct
Step-by-step explanation:
Question 6
Simplify the following expression.
-3 + 4a - 3b + 2) - 5(2-a + 3b)
solve plsssssssssssss
Answer:
7/24 is x and 24/25 is y :)
Step-by-step explanation:
hopefully that helped
Ill MARK brainiest
How many cubic blocks of side length 1/6
inch would it take to fill a
cube with a side length 2/6 of inch?
Answer:
8
Step-by-step explanation:
Which answer is correct? If someone is good at math, plz help asap. I Will give out Brainlist to whoever helps me.
Answer:
picture is upside down
Almost all employees working for financial companies in New York City receive large bonuses at the end of the year. A sample of 62 employees selected from financial companies in New York City showed that they received an average bonus of $47,000 last year with a standard deviation of $15,000. Construct a 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year.
Answer:
The 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year is between $43,819 and $50,181
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 62 - 1 = 61
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 61 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.67
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.67\frac{15000}{\sqrt{62}} = 3181[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 47000 - 3181 = $43,819
The upper end of the interval is the sample mean added to M. So it is 47000 + 3181 = $50,181
The 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year is between $43,819 and $50,181
HAHA. YOU GOT IT WRONG ONYEBUCHINNAJI
WHY DID YOU EVEN PUT THIS NAME??
Answer:
free points ty
CONVERT THE PERCENTAGES FRACTION 130%
Answer:
13/10
Step-by-step explanation:
Its 13/10...
please give brainliest
Answer:
13/10
Step-by-step explanation:
A rectangular plaza measures 3/8 mile by 4/5 mile. What is its area?
Answer:
3/10
Step-by-step explanation:
then after reducing you get 3/10
The area of the rectangular plaza is 12/40 square miles or 0.3 square miles if the rectangular plaza measures 3/8 mile by 4/5 mile.
What is the area of the rectangle?It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.
The formula for finding the area of a rectangle is given by:
Area of rectangle = length × width
We have a rectangular plaza that measures 3/8 mile by 4/5 mile.
Here the length L = 3/8
And width W = 4/5
Area of rectangular plaza = L×W = (3/8)×(4/5)
= 12/40 square miles or
= 0.3 square miles
Thus, the area of the rectangular plaza is 12/40 square miles or 0.3 square miles if the rectangular plaza measures 3/8 mile by 4/5 mile.
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In circle P, BC=24ft. What is the length of arc AC?