To answer this question, we need to know the properties of a rhombus, a rectangle, or a square. By the way, they have all the properties of a parallelogram. Then, we have (in this context):
1. Rhombus: they have four congruent sides.
2. Rectangles: they have four right angles.
3. Squares: they have four congruent sides and four right angles.
Having this information into account, we can say that:
First Case:
Figure FGHI has four right angles, and it is a parallelogram. In this case, we have a RECTANGLE. Notice that the four sides are not congruent (only have congruent angles.)
Second Case:
We have a parallelogram with four congruent sides. In this case, we have a RHOMBUS.
Third Case:
We also have four congruent sides. It is also a RHOMBUS (we do not have information about the angles, but it is enough to say that it is a rhombus since it is a parallelogram.)
Four Case:
We have four congruent sides and four right angles. Therefore, we have here a SQUARE.
In summary, we have:
1. First case: RECTANGLE (Figure 1.)
2. Second case: RHOMBUS (Figure 2.)
3. Third case: RHOMBUS (Figure 3.)
4. Fourth case: SQUARE (Figure 4.)
what is 11/2 times 1/3 as a fraction
Answer:
11/2 times 1/3 is 11/6
Step-by-step explanation:
11/2 times 1/3,
We have to multiply the numerators and denominators,
\((11/2)(1/3) = (11*1)/(2*3) = 11/6\\11/6\)
hence we get 11/6
A group of researchers establish a p-value of 0.05 for their hypothesis test. What does this mean?
a. The probability of getting a significant result for the test is 5%.
b. There is 5% probability that a true null hypothesis will be rejected.
C. The chi-square critical value for their dataset is 0.05
d. Only measured values of 0.05 or greater will be included in the test.
Answer:
b
Step-by-step explanation:
b. There is 5% probability that a true null hypothesis will be rejected.
A p-value of 0.05 represents the probability of obtaining a test statistic as extreme or more extreme than the one observed under the assumption that the null hypothesis is true. In other words, it is the probability of observing the data or more extreme data assuming the null hypothesis is true. It is also the threshold level of significance beyond which the null hypothesis is rejected in favor of the alternative hypothesis. A p-value of 0.05 means that there is a 5% probability that the observed results occurred by chance under the null hypothesis and that there is a 95% probability that the observed results occurred due to a real effect.
Silas claims that the equation y=2+mx, where m is a real number, represents a function whose graph is a straight line.
Select the statement that BEST classifies this claim.
Answer:
The claim is true for all values of m.
Step-by-step explanation:
Given
\(y = 2 + mx\)
Required
Which claim is true [See comment for options]
A linear equation is represented as:
\(y = mx + c\)
Where
\(m = slope\)
And the value of m knows no bound
i..e
\(m > 0\)
\(m = 0\)
\(m < 0\)
Hence, (a) is correct
140 es múltiplo de 100
Answer:
Step-by-step explanation:
No it isn't. 140/100 is NOT a whole number so 140 isn't a multiple of 100.
The random variable X is the number of siblings of a student selected at random from a particular secondary school. Its probability distribution is given in the table. Find the standard deviation of the random variable. Round to three decimal places. x 0 1 2 3 4 5 P(X= x) 11 7 3 1 1 1 48 24 16 6 12 24
Answer:
1.41
Step-by-step explanation:
Given the table :
X : _____0 ___ 1 ____ 2 ____ 3 ____ 4 ____5 P(X= x)_ 11/48_7/24_ 3/16____1/6___ 1/12 __1/24
The standard deviation = √var(x)
The Variance : Var(X) = (Σx²*p(x)) - μ²
μ = E(X) = Σ(X * p(x)) :
Σ(X * p(x)) = (0*(11/48))+(1*(7/24))+(2*(3/16))+(3*(1/6))+(4*(1/12))+(5*(1/24))
μ = 1.70833333
Var(X): [(0^2*(11/48))+(1^2*(7/24))+(2^2*(3/16))+(3^2*(1/6))+(4^2*(1/12))+(5^2*(1/24))] - 1.70833333^2
= 4.9166667 - 2.9184027663889
Std (x) = √1.9982639336111
Std (x) = 1.4135996
Std (x) = 1.41
Answer:
The Standard deviation of the random variable is 1.414.
Step-by-step explanation:
We Know,
Standard deviation= \(\sqrt{variance}\)
Variance is given by:
\(Var(X)=E(X^{2} )-E(X)^{2}\\\)
Given,
\(x = 0\ 1\ 2\ 3\ 4\ 5\\P(X=x)= \frac{11}{48} \ \frac{7}{24} \ \frac{3}{16}\ \frac{1}{6}\ \frac{1}{12}\ \frac{1}{24} \\\)
\(E(X)=\)∑ \(x*P(X)\)
\(E(X) = 0+ 1*\frac{7}{24} + 2*\frac{3}{16} + 3*\frac{1}{6} + 4*\frac{1}{12} + 5*\frac{1}{24}\\= 1.7083\)
\(E(X^{2} ) =\)\(0+ 1^{2} *\frac{7}{24} + 2^{2} *\frac{3}{16} + 3^{2} *\frac{1}{6} + 4^{2} *\frac{1}{12} + 5^{2} *\frac{1}{24}\)
\(= 4.9167\)
So,
\(Var(X)= 4.9167- 1.7083^{2}\)
\(= 1.99841\\\\Hence, Standard Deviation= \sqrt{1.99841} \\\\ Standard Deviation= 1.413( (upto 3 decimals)\)
Learn more: https://brainly.com/question/14668395
Lucy wants to buy a small car.
She speaks to her bank and they offer her a loan of £5000 over 5 years at a simple interest rate of 5%.
How much interest will Lucy have to pay back each year
The total amount accrued from simple interest on a principal of $10,000.00 at a rate of 0.5% per year for five years , which includes both the principal and interest.
What calculation will you make in order to obtain simple interest?The principal amount must be multiplied by the time, interest rate, and time period to determine simple interest. Simple interest is calculated as follows: "Simple Interest = Principal x Interest Rate x Time." The easiest way to calculate interest is with this equation.I = PRt is the simple interest formula, where I stands for interest, P for principal, R for rate, and t for time. Here, I = 10,000 * 0.09 * 5 = $4,500. The interest plus the principal, or $4,500 + $10,000, equals the total repayment sum of $14,500.5000%/100 or0.5 per year is equal to r = R/100. The total amount accrued from simple interest on a principal of $10,000.00 at a rate of 0.5% per year for five years , which includes both the principal and interest.To learn more about Simple interest refer to:
https://brainly.com/question/25793394
#SPJ1
Help thank you! A B C or D
Answer:
below
Step-by-step explanation:
'x' cannot be zero because you would then have an illegal fraction with a zero denominator
the only interval listed that does not include zero is ( 1, +inf)
Answer:
D.
Step-by-step explanation:
f(x) = |x|
|x| = x for x > or = 0
|x| = -x for x < 0
At x = 0
Left limit = Right limit = Function value = 0
|x| = is continuous at x = 0.
Left derivative (at x = 0) = -1
Right derivative (at x = 0) = 1
need help asap!
Mildred has a circular yard with a diameter of 145 feet
She wants to put a fence around the entire yard. How many feet of fence would it take to put Fence around the entire circular yard?
Approximately 456.3 feet of fence to surround the entire circular yard.
Now, For the amount of fencing needed to surround a circular yard, we have to calculate the circumference of the circle, which is the distance around the circle.
Since, The circumference of a circle is,
⇒ C = πd,
where, C is circumference, d is diameter,
Here, the diameter of the circular yard is 145 feet,
So the radius is half of that,
r = 145/2 = 72.5 feet.
So, Using the formula, we can calculate the circumference as:
C = πd
C = 3.14 x 145
C = 456.3 feet
Therefore, Approximately 456.3 feet of fence to surround the entire circular yard.
Learn more about the circle visit:
https://brainly.com/question/24810873
#SPJ1
write an exponential model given two points:
(10, 140) and (11,220)
pls answer this!!!
worth 30 points
find the circumference of a circle with d=97cm diameter
round to 3 significant figures
The circular is around 305 cm in circumeference.
The circumference of a circle is given by the formula:
C = πd
where d is the diameter of the circle.
Substituting d = 97 cm and using the value of π to be 3.14159, we get:
C = πd
C = 3.14159 × 97 cm
C ≈ 304.731 cm
Rounding this to 3 significant figures, we get:
C ≈ 305 cm
Therefore, the circumference of the circle is approximately 305 cm.
Learn more about circumference here:
https://brainly.com/question/6465134
#SPJ1
a) how would you work out 4 1/3 x 6?
The solution of the expression 4¹/₃ x 6 will be 26.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 4¹/₃ x 6. The expression of multiplication will be solved as below,
E = 4¹/₃ x 6
E = ( 13 / 3 0 x 6
E = 13 x 2
E = 26
Hence, the solution will be 26.
To know more about an expression follow
https://brainly.com/question/28773316
#SPJ2
from the smith chart, find the normalized input admittances corresponding to the following normalized input impedances:
The normalized input admittances are the inverse of the normalized input impedances and can be found on the Smith Chart.
The Smith Chart is a graphical tool used to quickly calculate the reflection coefficient, impedance, admittance, and other characteristics of a transmission line. To find the normalized input admittances corresponding to the normalized input impedances, we first need to find the normalized reflection coefficient for the given normalized input impedances. This can be done by locating the given normalized impedance on the Smith Chart and then determining the normalized reflection coefficient from the radial and angular coordinates. Once the normalized reflection coefficient has been determined, the normalized input admittance can be found by using the formula Y = 1/Z. The normalized input admittance is then located on the Smith Chart in the same manner as the normalized input impedance, using the radial and angular coordinates.
Learn more about smith chart here
https://brainly.com/question/29733303
#SPJ4
1. The first quartile (1) of the ages of the 256 employees of CCNHS – Main Campus is 39 years old. What does it imply?
If the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.
The first quartile (Q1) of the ages of the 256 employees of CCNHS – Main Campus being 39 years old implies that 25% of the employees have an age equal to or less than 39 years old.
In statistical terms, the first quartile represents the point below which 25% of the data falls. It divides the data set into four equal parts, with each part containing 25% of the data. Therefore, if the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.
This information provides insight into the age distribution of the employees at the institution. It indicates that a significant portion of the employees are relatively young, with a quarter of them falling below the age of 39. Understanding the age demographics of the workforce can be useful for various purposes, such as planning professional development programs or implementing age-specific policies.
For more questions on quartile
https://brainly.com/question/28169373
#SPJ8
Given the diagram below, find the measure of each missing angle.
The scale factor of model of Eiffel tower is 3:1640.
The scale factor is the ratio of measure of small length to large length. The base of both actual tower and scale down model is mentioned in question. Keep the values in ratio to find the scale factor.
Scale factor = 0.75 : 410
Removing decimal to get the whole number
Scale factor = 75:41000
Dividing the both parts of ratio by 25 to find the scale factor of mentioned model
Scale factor = 3:1640
As the Eiffel tower is scaled down in the model, the scale factor is 3:1640.
Learn more about scale factor -
https://brainly.com/question/2826496
#SPJ1
expand and simplify (3x-2) squared
Expanding and simplifying the expression gives:
(3x - 2)² = 9x² - 12x + 4
How to expand the given expression?
Here we want to expand and simplify the expression below:
(3x - 2)²
First let's expand that, we can rewrite this as:
(3x - 2)² = (3x - 2)*(3x - 2)
We can distribute that product to get:
(3x - 2)*(3x - 2) = (3x)*(3x) + (3x)*(-2) + (-2)*(3x) + (-2)*(-2)
Now we can keep simplifying this to get:
(3x)*(3x) + (3x)*(-2) + (-2)*(3x) + (-2)*(-2) = 9x² - 6x - 6x + 4
9x² - 6x - 6x + 4 = 9x² - 12x + 4
The simplified expression is:
9x² - 12x + 4
Learn more about simplificating expressions:
https://brainly.com/question/723406
#SPJ1
Ryan has 782 beads. He wants to divide the beads evenly to make 34 bracelets. How many beads will be used for each bracelet?
Answer:
782/34 = 23 beads for each bracelet
Step-by-step explanation:
23 beads.
782 devided by 34 is 23. ask google if u think im wrong
8
7
6+
5
4 3
N
1
-8 -7 -6 -5 4ß -2
-1
1
2 3 4 5 6 7 8
-2
-3
-5
-6
-7
-8+
The system of equations has
O one solution
no solution
infinitely many solutions
Answer:
no bro
Step-by-step explanation:
no
Based on the information marked in the diagram
Answer:
I believe the answer is A. true
Answer:
True
Step-by-step explanation:
A computer outlet store receives a shipment of 2000 computer chips. The owner decides to randomly choose 36 chips and test them. (a) What is the population (actually the group of elementary units) in this study? (b) What is the sample? (c) If the 36 chips are all chosen from the top layer of the box of 2000 chips, is this a random sample? why or why not?
Answer:
a
The population is 2000
b
The sample is 36
c
No this is not a random sample
Step-by-step explanation:
From this question we are told that
A computer outlet store receives a shipment of 2000 computer chips
The number of unites chosen by the owner is n= 36
Generally the population for this statistical test is N = 2000
This is because the 2000 is the entire pool from which a statistical sample is drawn
Generally 36 is the sample because this is the number that will be statistically tested and its result will be generalized for every other element of the population
Now if the 36 chips are all selected from the top then the sample is not a random sample because in a sample each element of the sample have an equal likelihood of been selected from the population but in the case of the question each element are selected base it accessibility
Write an equation of the line that is parallel to y = 1/2x + 3 and passes through the point (2,-4). A) y = 1/2x-4 - 15 B) y = -2x-4 + 15 C) y = -2x-5 D) y = 1/2x - 5
Answer:
D
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = \(\frac{1}{2}\) x + 3 ← is in slope- intercept form
with slope m = \(\frac{1}{2}\)
• Parallel lines have equal slopes , then
y = \(\frac{1}{2}\) x + c ← is the partial equation
to find c substitute (2, - 4 ) into the partial equation
- 4 = \(\frac{1}{2}\) (2) + c = 1 + c ( subtract 1 from both sides )
- 5 = c
y = \(\frac{1}{2}\) x - 5 ← equation of parallel line
The sum of two numbers is 17 and the quotient is 70
Answer:
The Sum of 2 Numbers is 17 & Their Product is 70. Find the Numbers -
Step-by-step explanation:
The Factors of 70 are - 1, 2, 5, 7, 10, 14, 35 & 70
Now, Find the two Factors, when added gives the Sum as 10 & the Product of Multiplication as 17 -
From the given Statement, we can see that when the Factors 7 & 10, when Added gives the Sum as 17 and Their Product as 70 *(7 + 10 = 17 ; 7 × 10 = 70)
Therefore, the two Numbers are 7 & 10
Can someone pls explain
163. The distance between A(-5, 6) and B(5, -5) is: AB ≈ 14.9 units
164. Applying the Pythagorean theorem, we have: Diagonal ≈ 21.2 ft.
165. Marissa's final answer is wrong. It should be, c = √676 = 26 units.
166. Missing side = 29 ft.
What is the Pythagorean Theorem?The Pythagorean theorem states that c² = a² + b², given that a and b are shorter legs and c is the hypotenuse or longest leg of the right triangle.
163. The distance between A(-5, 6) and B(5, -5):
AB = √[(5−(−5))² + (−5−6)²]
AB = √221
AB ≈ 14.9 units
164. Apply the Pythagorean theorem to find the diagonal:
Diagonal = √(15² + 15²) ≈ 21.2 ft.
165. The answer Marissa got is wrong. The final answer which is the square root of 676 is:
c = √676 = 26 units.
166. Missing side = √(20² + 21²) = 29 ft.
Learn more about the Pythagorean theorem on:
https://brainly.com/question/27997683
#SPJ1
HELP PLEASE WILL GIVE BRAINLIEST IF CORRECT
Marama is planting a rectangular garden in her backyard. She is planning to fence the garden with 28 feet of wired fencing. The garden's area can be represented by the function A(t) = -t2+ 14t where t is the length of a side. What are all of the appropriate values of the domain for the graph of this function? Explain your answer in terms of the situation. Use words, numbers, and/or pictures to show your work.
The domain for the function is the interval [0, 14], which represents the feasible values for the length of one side of the rectangular garden.
To determine the appropriate values of the domain for the graph of the function \(A(t) = -t^2 + 14t\), we need to consider the situation and the constraints given.
The function A(t) represents the area of the rectangular garden as a function of the length of one of its sides, which is denoted by t.
We are also told that Marama plans to fence the garden with 28 feet of wired fencing.
Now, let's break down the problem and find the appropriate values for the domain.
We know that the perimeter of a rectangle is the sum of all its sides. In this case, since we have a rectangular garden, the perimeter can be represented as:
\(Perimeter = 2t + 2w\),
where t is the length of one side (the width) and w is the length of the other side (the width).
The problem states that Marama plans to use 28 feet of wired fencing. Therefore, the perimeter of the garden must equal 28 feet:
\(2t + 2w = 28\).
Simplifying this equation, we have:
\(t + w = 14\).
We can express w in terms of t as \(w = 14 - t\).
The area of a rectangle is given by the product of its length and width:
\(Area = t \times w\).
Substituting the expression for w from step 2, we have:
\(A(t) = t \times (14 - t)\).
Simplifying further:
\(A(t) = 14t - t^2\).
To determine the appropriate values of the domain, we need to consider the context of the problem. Since we are dealing with a physical garden, both the length and width must be positive numbers. Additionally, the values of t must be feasible given the constraints of the perimeter.
We know that \(t + w = 14\), so \(t + (14 - t) = 14\), which simplifies to \(14 = 14\).
This shows that the value of t can range from 0 to 14, inclusive.
Therefore, the appropriate values of the domain for the graph of the function \(A(t) = -t^2 + 14t\) are \(t \epsilon [0, 14]\).
To illustrate this graphically, we can plot the function \(A(t) = -t^2 + 14t\) and mark the appropriate values of the domain on the x-axis (representing t):
^
|
A(t)|
|
|_______________________________
0 t 14
The domain for the function is the interval [0, 14], which represents the feasible values for the length of one side of the rectangular garden.
For such more questions on domain
https://brainly.com/question/28934802
#SPJ8
Complete the table using this rule : 3x-2=y
Answer:
To find the x-intercept, substitute in 0 for
y and solve for x. To find the y-intercept, substitute in 0
for x and solve for y. x-intercept(s): (2^3,0) y-intercept(s):
(0,−2)
5.6 write each decimal as a fraction or a mixed number
Answer:
28/5
plsss mark me brainliestt
Step-by-step explanation:
5.6=56/10
28/5
System a
2x+y=5 and -4x+6y=-2
system b
-10x +19y=-1 and -4x+6y=-2
Answer:
System A: x = 2, y = 1
Points: (2, 1)
System B: x= 2, y = 1
Points: (2, 1)
Step-by-step explanation:
The soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. The amount collected can be modeled by the equation 5 x plus 10 y equals 800, where x represents the number of small vehicles and y represents the number of larger vehicles. If the number of larger vehicles washed was 50, how many small vehicles were washed in total? 55 60 130 150
Answer:
60
Step-by-step explanation:
50 x 10 = 500
800 - 500 = 300
300 divided by 5 = 60
Answer:
B)60
Step-by-step explanation:
Determine the probability of rolling a die and getting a 2
then a 5.
The probability of rolling a die and getting a 2, then a 5, is 1/36.
To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.
First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.
Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.
To find the probability of both events happening, we multiply the probabilities:
Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.
Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.
It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.
For more such questions on probability visit:
https://brainly.com/question/251701
#SPJ8
HELPPPPPP
Giving that you already know what your grades are on your report card. Please write 1 paragraph on how you would like to improve your grade in math and what steps you plan to take to do so.
my grades are A's and B's and one C. my grade in her class is a B!! help me!!!
Answer:
I will study and make sure that I'm not missing any assignments. I will try and do my best even when I dont understand. I will ask you for help if I need it. I will do my best. I will be the best student I can be. I will go to tutoring.
Step-by-step explanation:
Make sure that it sounds like you talking so she does not get suspicious
Answer: Pay more attention
Step-by-step explanation: Focus more and study more than the average human which is 1-2 hours per day, i would recommend either 3-5 every day INCLUDING WEEKENDS.
For instance, i have a 91 in math, that is because i work hard and pay attention. also because of the people who answered my question and ranked it up to a 91, so my explanation is, Pay more attention. try, https://blog.powerscore.com/gre/10-ways-to-effectively-study-vocab-words/