Answer:
Square matrix is a matrix where the number of rows is the same as the number of columns for example
a 2×2 matrix is an example of a square matrix
What is the solution to the system of equations graphed below?
Answer:
(2, -3)
Step-by-step explanation:
the intersection point is the solution.
Answer:
2,-3
Step-by-step explanation:
Because the other guy said so
BB is paid straight commission at a rate of 9.35%. last week he sold $6000. How much money did he make?
A. 6900.00
B. 56100
C. 4551.00
D. 451.00
Answer
how much is like saying time the this
Step-by-step explanation:
60,000 time 9.35%= 56100
How many roots does a quadratic have if it does not cross the x-axis? = 2 real roots
True or false? I need help asap ty!
Assume you have a car worth $3,700 and investments worth another $5,400. If you owe
$1,250 on credit cards and that is your only debt, how much is your net worth? helppppp
Answer:
7850
Step-by-step explanation:
Net worth: Assets-debt
The assets are:
car
investments
The debts:
credit cards
so we have
(3700+5400)-1250= 7850
6 x 198 mentally please it's for my homework
Answer:
1188
Step-by-step explanation:
First, multiply 6*8 which is 48.
Then leave the 8 at the bottom and move the 4 on top of the 9.
Then multiply 6*9 =54, then add 4, which is 58.
Then leave the 8 at the bottom in front of the first 8, and move the 5 on top of the 1.
Then multiply 6*1 = 6, then add 5, which is 11.
Then leave the 11 at the bottom in front of the other 8.
(I know this is a bit confusing but bear with me.)
The answer is 1188
the Equation of what y=
Answer:
y = 2x + 4
Step-by-step explanation:
remember the formula of a line: y=mx+b (the y point = the slope times the x point + the y-intercept)
To find the slope:
Remember: slope is rise over run, or the number of units the line goes up, over the amount of units the line goes over. so \(\frac{rise}{run}\) (rise over run)
If we start at the leftmost point, we count up 2, over 1 until we get to our next point. Therefore, the slope is 2/1, or 2.
Now to find the y-intercept:
If we assume each square represents 1 unit, the line will intercept the y-axis (or the vertical line) at 4. We know this simply by counting the horizontal lines across the graph until we get to our linear line. We count up 1, 2, 3, 4 until we reach the line.
Put it together in the y = mx + b format, and you get y = 2x + 4
I really hope this helps you understand! Tell me if you need anymore clarification, I'll be happy to help!
choose the best definition of hypothesis in the context of statistical analysis.
In statistical analysis, a hypothesis refers to a tentative explanation or prediction that is based on limited evidence and is subject to further investigation and testing. It is a statement that can be either true or false, and is typically formulated in such a way that it can be tested using statistical methods.
The hypothesis is often used to guide the research process, to help identify potential patterns or relationships in the data, and to evaluate the significance of the results.
Overall, the hypothesis plays a critical role in statistical analysis, as it provides a framework for understanding and interpreting data, and helps to ensure that research findings are reliable and valid.
A hypothesis in the context of statistical analysis is a tentative explanation or prediction about the relationship between two or more variables, which is subject to testing and empirical evaluation using statistical methods.
It is a statement that can be either true or false, and it is usually formulated in terms of the expected direction and strength of the relationship between the variables of interest.
The hypothesis is typically derived from existing theory, prior research, or common sense, and it serves as a guide for the collection, analysis, and interpretation of data in a scientific study.
The process of testing a hypothesis involves setting up null and alternative hypotheses, selecting an appropriate statistical test, collecting and analyzing data, and drawing conclusions based on the results of the analysis.
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Solve the system of equation algebraically: y = 2x2 - 5x + 10 and y = 2x + 5.
In order to solve the system of equations, let's equate both values of y and solve for x using the quadratic formula:
\(\begin{gathered} 2x^2-5x+10=2x+5\\ \\ 2x^2-5x-2x+10-5=0\\ \\ 2x^2-7x+5=0\\ \\ a=2,b=-7,c=5\\ \\ x=\frac{-b±\sqrt{b^2-4ac}}{2a}\\ \\ x=\frac{7±\sqrt{49-40}}{4}\\ \\ x_1=\frac{7+3}{4}=\frac{10}{4}=\frac{5}{2}\\ \\ x_2=\frac{7-3}{4}=\frac{4}{4}=1 \end{gathered}\)Now, let's calculate the values of y for each value of x:
\(\begin{gathered} x=\frac{5}{2}:\\ \\ y=2x+5=5+5=10\\ \\ \\ \\ x=1:\\ \\ y=2x+5=2+5=7 \end{gathered}\)Therefore the solutions are (1, 7) and (5/2, 10).
Correct option: second one.
Help please the image is the question
evaluate the expression if g-=2, r=3, and t=. 3ab+c^2/a
Answer:
3ab+(c^2)/a
you can't really solve this because g and r is not in the equation.
Suppose the length of the entire segment is 50.
I hope this is what it’s asking for…
13x+4+?=50
13x+?=46
Answer:
unknown length: 46 - 13x
Explanation:
Let the unknown side be s.
s + 13x + 4 = 50
s = 50 - 13x - 4
s = 46 - 13x
it is commonly believed that average body temperature for humans is 98.6 degrees f. a study was done in which a group of healthy adults had their temperature measured 1 to 4 times daily for 3 days. this resulted in 175 temperature measurements. the sample mean temperature was 98.2 degrees f, with a sample standard deviation of 0.7 degrees f. construct a 95% confidence interval for the mean body temperature of humans. show all work. round the margin of error and interval bounds to 2 decimal places.
The 95% confidence interval estimate of the population mean is 98.10< μ < 98.30.
Given that
sample mean = ~x = 95.2
sample standard deviation = s = 0.7
sample size = n = 175
Degrees of freedom = d.f = n - 1 = 175 - 1 = 174
αt /2,d.f = 1.974.
The explanation for step 1
At 95% confidence level
α= 1-0.95% =1-0.95 =0.05
α /2=0.05/ 2= 0.025
αt /2,d.f = t0.025,174 = 1.974
αt /2,d.f = 1.974
The explanation of Step 2
Margin of error = E = t/2,df x (s /Vn ) = 1.974 x ( 0.7/ V175) = 0.10
Margin of error = E = 0.10
The 95% confidence interval estimate of the population mean is,
~x- E < μ < ~x + E
98.2 - 0.10< μ < 98.2 + 0.10
98.10< μ < 98.30
Margin of error = E = 0.10
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1. the expected value of a random variable can be thought of as a long run average.'
Yes it is correct that the expected value of a random variable can be interpreted as a long-run average.
The expected value of a random variable is a concept used in probability theory and statistics. It is a way to summarize the average behavior or central tendency of the random variable.
To understand why the expected value represents the average value that the random variable would take in the long run, consider a simple example. Let's say we have a fair six-sided die, and we want to find the expected value of the outcomes when rolling the die.
The possible outcomes when rolling the die are numbers from 1 to 6, each with a probability of 1/6. The expected value is calculated by multiplying each outcome by its corresponding probability and summing them up.
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Color of socks
Number of socks
white
8
black
7
blue
2
brown
3
From the table, the ratio of white socks to brown socks is
Select two ratios equivalent to the ratio of white socks to brown socks.
32
A.13
B.15
41
C.32
12
D.40
15
Answer:
D.40:15 are equivalent to the ration of white socks to brown sock which is 8:3
The angle of elevation of top of a tower from a point on the ground, which is 30 m away from the foot of the tower is 30°. The length of the tower is a.√3 m b.2√3 m c.5√3m d.10√3 m
Answer: d
Step-by-step explanation:
Note that the distance to the tower and the height of the tower create a right triangle at the base of the tower. The equation to find the height of a right triangle is to multiply the length times the tangent of angle β.
Given:
b = a · tanβ
tan(30°) = √3/3
Step 1: Solve
b = (30/1) · (√3/3)
b = (30 · √3) / (1 · 3)
b = (30√3) / (3)
b = 10√3
help with this question
Answer:
angle ABD=42°
Step-by-step explanation:
join AO with dotted line
AO=OD...radii
triangle AOD is an isosceles
angle DAO=angle ODA.....base angles of isosceles
angle DAO=48°
AngleAOD=180°-(48°+48°)....angle sum of triangle
=180°-96°
=84°
Angle AOD=2×angle ABD....angle at centre twice angle circumference
2xangle ABD=84°
Angle ABD=84°÷2
=42°
HELP I DONT UNDERSTAND
Answer:
y 1. 7
y 2. 20
y 3. 104
Step-by-step explanation:
So the rule is that the x+5 is goung to give you your y axis
1. 2+5=7
2. 15+5=20
3.99+5=10
Please name me brainliest I would greatly appreciate it Thank You
The top of square table has an area of 24 square feet. What is the length of 1 edge of the tabletop?
The length of one edge of the tabletop is 4.89 feet.
We know that square is a shape that has all the side equal. Based on this using the formula to find the length of edge of the tabletop.
The area of square table is given by the formula -
Area of square table = side²
We will keep the value of area of square table to find the value of side which will be length of edge
24 = side²
Side = ✓24
Taking square root for the value on right side of the equation
Side = 4.89
Hence, the length of one edge of the tabletop is 4.89 feet.
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If triangle XYZ is equilateral and WXY is isosceles, what is the measure of WZY?
Answer: ∠WZY=150°
Step-by-step explanation:
Analysis :
ΔWXY is an isosceles triangle
perpendicular to WX intersecting:
XY at A
∠XWA = 21°
∠WXA = 90°-21° = 69°
Now, ΔXYZ is equilateral,
∠XYZ = ∠YXZ = 60°
Then,
∠WXZ = ∠WXA - ∠YXZ
= 69°-60°
= 9°
Since the angles of a triangle = 180°
∠WZY = ∠WZX = 180° - ∠XWA - ∠WXZ
= 180° - 21° - 9°
= 150°
What is the greatest common factor of the terms in the polynomial 3x3 – 3x2 – 18x?
3
3x
3x2
3x3
Answer:
3
Step-by-step explanation:
every term is divisible by 3, therefore it is the greatest common factor
0.6 + 15 b + 4 = 25.6.
Answer:
0.6 + 15b + 4 = 25.6
15b +4 = 25
15b = 25 - 4
15b = 21
b = 21/15
b = 7/5
hope it helps
Answer:
Exact Form:
b=7/5
Ashley makes house calls. For each she is payed a base amount and makes additional money for each hour she works. The graph below shows her pay(in dollars) versus the number of hours worked.
How much does her pay increase for each hour?
Answer:
her pay increases by 30$ each hour she work
Step-by-step explanation:
hope it helps
Fred is an old man he lived 1\8 of his life as a boy, 1\12 as a youth, 1\2 as a man and 28 years in his old age. How old is Fred now
1. Observe problem
1-(1/8+1/12+1/2)
Make all common denominator
The Least common multiple of 8,12, and 2 is 24
1-((3+2+12)/24)=
1-17/24=
7/24
Therefore, 28 years make up 7/24 of his life.
Simplifying, he grows 4 years for every 1/24 of his life
4 times 24 is 96, so
Fred is 96 currently(that's pretty old)
\(\bold{\huge{\pink{\underline{ Solution }}}}\)
\(\bold{\underline{ Given :- }}\)
Fred is an old man he lived 1/8th of his life as a boyHe lived 1/12th of his life as a youth , 1/2 of his life as a man and 28 years in his old age\(\bold{\underline{ To \: Find :- }}\)
We have to find the current age of Fred?\(\bold{\underline{ Let's \: Begin :- }}\)
Let the present age of Fred be x
Therefore,
According to the question,
\(\sf{ 1/8x + 1/12x + 1/2x + 28 = x }\)
\(\sf{ (3x + 2x + 12x )/24 + 28 = x }\)
\(\sf{ 17x/24 + 28 = x }\)
\(\sf{ 28 = x - (17/24)x}\)
\(\sf{ 28 = 24x - 17x/24 }\)
\(\sf{28 = 7x/24 }\)
\(\sf{ 28 = 7x/24}\)
\(\sf{ 7x = 28 × 24}\)
\(\sf{ x = 672/7}\)
\(\sf{ x = 96\: years}\)
\(\sf{\red{ Hence,\: The\: total\: age\: of\: Fred \:is \: 96\: years }}\)
Ten(10) adults and 3 children attend a local concert for $59. Four(4) adults and 3
children attend the same concert for $29. How much does it cost for each to attend?
Answer:
$5 per adult and $3 per kid
Step-by-step explanation:
5x10=50
3x3=9
50+9=59
4x5=20
3x3=9
20+9=29
The price of an item increased by 25 percent. if the price of the item after the increase is 2.00. What was the original price? (Show your work)
A. 1.50
B. 1.60
C. 1.75
D. 2.50
E. 3.20
Let the original price = x
From X to get the new price you multiply by 1 + the percent of the increase which is 25%
1,25X = 2.00
Divide both sides by 1.25:
X = 1.60
The original price was B. 1.60
Answer:
x=1.60
Step-by-step explanation:
Let x be the original price
We increase by 25%
x+ .25x = new price
1.25x = 200
Divide each side by 1.25
x = 2.00/1.25
x=1.60
Find f′(x) f(x)=7/5x^4 f′(x)=
To find f'(x), the derivative of the function f(x) = 7/(5x^4), we apply the power rule for differentiation. The derivative is given by f'(x) = -28/(5x^5).
The function f(x) = 7/(5x^4) can be rewritten as f(x) = 7 * (5x^(-4)). To find the derivative f'(x), we can apply the power rule, which states that for a function of the form g(x) = ax^n, the derivative is given by g'(x) = a * n * x^(n-1).
In this case, a = 7 and n = -4. Applying the power rule, we have:
f'(x) = 7 * (-4) * (5x^(-4-1))
= -28 * 5 * x^(-5)
= -140x^(-5).
Simplifying further, we can rewrite x^(-5) as 1/(x^5), which gives us:
f'(x) = -140/(x^5).
Therefore, the derivative of f(x) = 7/(5x^4) is f'(x) = -140/(x^5). This derivative represents the rate of change of the function f(x) with respect to x.
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during a typical friday, the west end donut shop serves 2400 customers during the 10 hours it is open. each customer spends (on average) 5-minutes in the shop. on average, how many customers are in the shop simultaneously?
The average number of customers in the West End Donut Shop simultaneously is 30, which is obtained by using the arrival rate and service rate formulas for a queueing system.
To find the average number of customers in the shop simultaneously, we can use the concept of the arrival rate and the service rate.
The arrival rate is the rate at which customers arrive at the shop, and can be calculated as:
arrival rate = number of customers / time
arrival rate = 2400 customers / 10 hours
arrival rate = 240 customers per hour
The service rate is the rate at which customers are served by the shop, and can be calculated as:
service rate = 60 minutes / 5 minutes per customer
service rate = 12 customers per hour
Using the formula for the average number of customers in a queueing system, we get:
average number of customers = arrival rate / (service rate - arrival rate)
average number of customers = 240 / (12 - 240/60)
average number of customers = 240 / 8
average number of customers = 30
Therefore, on average, there are 30 customers in the West End Donut Shop simultaneously.
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Question 3
Which expression uses the greatest common factor to rewrite 18 + 6?
A
2 (9+3)
B
6 (3+B
С
9 (2) + 3 (2)
D
6 (3) + 2 (3)
Answer:
6( 3+1)
Step-by-step explanation:
18 + 6
Factor a 6 from each term
6*3 + 6*1
6( 3+1)
What is the area of the trapezoid shown? Express your answer in simplest exact form. [asy] unitsize(1.5cm); pair a=(0,0); pair b=(1,sqrt(3)); pair c=(3,sqrt(3)); pair d=(4,0); draw(a--b--c--d--a); label("2",(a+b)/2,NW); label("2",(b+c)/2,N); label("2",(c+d)/2,NE); label("~$60^\circ$",a,NE); label("$60^\circ$~",d,NW); [/asy]
The area of the trapezium shown is 284.31 in²
What is an equation?An equation is an expression that shows the relationship between variables and numbers.
The area is calculated for a two dimensional shape. It shows the amount of space occupied for that shape.
The area of a trapezium is given by:
Area = (1/2)(sum of parallel sides) * height
For the trapezium shown, the parallel sides have a measure of 17 inches and 31 inches respectively. The height is 11.7 inches, hence:
Area = (1/2)(17 + 31.6)(11.7) = 284.31 in²
The area is 284.31 in²
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What is the solution to the equation 5 x + 2 x = 24 − 4 ( x − 5 ) ?