The calculated area of the triangle is 7.5 square inches
Finding the area of the triangleFrom the question, we have the following parameters that can be used in our computation:
The triangle with the following dimensions
base = 6 inches
height = 2.5 inches
Using the above as a guide, we have the following:
Area = 1/2 * base * height
Substitute the known values in the above equation, so, we have the following representation
Area = 1/2 * 6 * 2.5
Evaluate
Area = 7.5
Hence, the area of the triangle is 7.5 square inches
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what methods of the early Greek historians might be useful to historians today
Answer:
The study of the past and examining why events took place.
Answer:
The investigation of the past and the causes of events.
Which of the following is NOT a requirement of testing a claim about two population means when 1 and 2 are unknown and not assumed to be equal? Choose the correct answer below. A. The two samples are dependent. B. Both samples are simple random samples. C. Either the two sample sizes are large (30 and 30) or both samples come from populations having normal distributions, or both of these conditions are satisfied. D. The two samples are independent.
Answer:
b
Step-by-step explanation:
write the inverse of the given table.
Answer:
Step-by-step explanation:
Every day, Luann walks to the bus stop and the amount of time she will have to wait for the bus is between 0 and 12 minutes, with all times being equally likely (i.e., a uniform distribution). This means that the mean wait time is 6 minutes, with a variance of 12 minutes. What is the 25th percentile of her total wait time over the course of 60 days?
a. 341.902.
b. 349.661.
c. 363.372.
d. 378,099.
Answer:
a. 341.902.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
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.
n instances of a normal variable:
For n instances of a normal variable, the mean is \(n\mu\) and the standard deviation is \(s = \sigma\sqrt{n}\)
60 days, for each day, mean 6, variance of 12.
So
\(\mu = 60*6 = 360\)
\(s = \sqrt{12}\sqrt{60} = 26.8328\)
What is the 25th percentile of her total wait time over the course of 60 days?
X when Z has a p-value of 0.25, so X when Z = -0.675.
\(Z = \frac{X - \mu}{s}\)
\(-0.675 = \frac{X - 360}{26.8328}\)
\(X - 360 = -0.675*26.8328\)
\(X = 341.902\)
Thus, the correct answer is given by option A.
You lease a car at $23,495 for 3 years at $429.95 a month with a $500 down payment. The interest is 30% of the payments and $4,643.46 in interest is paid over 3 years. What is the remaining balance when the lease ends? How did you arrive at $12,160.26?
Answer:
Step-by-step explanation:
total interest paid is given as $4,643.46.
total payments = $429.95 x 36 months = $15,478.20
total lease payments = total payments - total interest
total lease payments = $15,478.20 - $4,643.46 = $10,834.74
Remaining balance = Total cost of the lease - Total lease payments
$23,495 - $10,834.74 = $12,660.26
Solve this system by linear eqautions
Please somone help me with this
................................................................................
Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
what is 2+ 1,528
pls help!!!!!!
Answer:
1530 is the sum of 2+1528
Answer:
1,530
Step-by-step explanation:
Write an expression to match this situation and combine like terms: Ling has 4m pounds of flour. She buys another 2 packages of flour, each weighing m pounds. How much flour does ling have in terms of m?
Answer:
4m + 2m = 6m
Step-by-step explanation:
A patrolmen spend 25% of every day completing paperwork. The patrol and shift each day is 8 hourZ how much of his time does he spend doing paperwork each day
Answer:
25 percent of 8 is 2 so 2 hours
Step-by-step explanation:
what is the slope intercept form of 4x+y=-3
Answer:
Step-by-step explanation:
-4x-3=y
Pleaseeeeeeeeeee help me out
eading Tools
Two students began a proof of the law of sines.
C
A
Student I
sin(A)=
Sin(B) =
bsin(A) =h
asin(B) = h
bsin(A)= asin(B)
sin(A)=sin(B)
b
Student 2
sin(A)=
sin(B) ==
asin(A) = h
bsin(B) = h
B
asin(A)=bsin(B)
sin(A)=sin(B)
a
Which student correctly started the proof, and what should that student do next to complete the proof?
Answer: no answer
Step-by-step explanation:
How many different ways are there to arrange the letters in the word MISSISSIPPI?
Answer: 34,650 permutations
Two-fifths of police officers New York police department are female
Answer:
\( \\ \\ 3)15(\)
y = 4x - 5.
Graph the math problem
Answer:
so first put a dot on -5 on the y axis then go up 4 and to the right 1 and put a second dot and connect them
Question 7(Multiple Choice Worth 2 points)
(Angle Relationships MC)
Two angles are complementary to each other. One angle measures 32°, and the other angles measure (12x-20) determine the value of x
O 64
O 6.5
32.5
If the sum of (12x - 20)° + 32° = 180° then value of x is 14°.
What are supplementary and complementary angles?When the sum of the two angles is 180° they are said to be supplementary.
When the sum of the two angles is 90° they are said to be complementary.
Given, Two angles are complementary to each other.
One angle measures 32°, and the other angles measure (12x - 20)°.
∴ (12x - 20)° + 32° = 180°.
12x - 20° + 32° = 180°.
12x = 180° - 12°.
12x = 168°.
x = 14°.
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En cierto laboratorio se cultiva la cepa de una bacteria, causal de múltiples problemas. Con fin de determinar la rapidez de reproducción de dicha bacteria, esta se coloca en un medio de crecimiento y condiciones favorables. La población existente es de 250 bacterias y se observa que cada hora se duplica la cantidad
The exponential function giving the number of bacteria after x hours is given as follows:
\(y = 250(2)^x\)
How to define an exponential function?An exponential function has the definition presented according to the equation as follows:
\(y = ab^x\)
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.The parameter values for this problem are given as follows:
a = 250, b = 2.
Hence the function is given as follows:
\(y = 250(2)^x\)
Missing InformationThe problem asks for the exponential function giving the number of bacteria after x hours is given as follows:
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? 个 F 4 1 point Reflect triangle GLQ about the y-axis. What are the new coordinates f d 1 3 (4.-3) 4
Given the figure in the attached image;
Let us write out the coordinates of point G;
\(G=(3,4)\)If it is reflected about the y-axis, then we have the rule;
\((x,y)\rightarrow(-x,y)\)Applying the rule on point G;
\(\begin{gathered} (x,y)\rightarrow(-x,y) \\ G(3,4)\rightarrow G^{\prime}(-3,4) \end{gathered}\)Therefore, the new coordinates of G will be;
\((-3,4)\)100 POINTS!!!! ILL GIVE BRAINLEIST. What is true when two proper fractions are multiplied together?
The product will be larger than both factors.
The product will be larger than the smaller factor but smaller than the larger factor.
The product will be smaller than both factors.
The product will be an improper fraction.
Answer:
When two proper fractions are multiplied together, the product will be smaller than both factors.
Step-by-step explanation:
To understand why this is true, we can consider the concept of fractions as parts of a whole. When we multiply two proper fractions, we are essentially taking a part of a part, which results in a smaller portion overall.For example, if we multiply 1/2 by 2/3, we are taking half of something and then taking two-thirds of that half. The result is 1/3, which is smaller than both 1/2 and 2/3.Therefore, the correct answer is: The product will be smaller than both factors.
Answer:The product will be smaller than both factors.
When two proper fractions are multiplied together The product will be smaller than both factors.Take a look at the equation below.
¾ * ⅔= 3 times 2 is 6 and 4 times 3 is 12. So the equation is 6/12 .
6/12 is simplified to 1/2. 1/2 is less than both 2/3 and 3/4. Which means the product is smaller. Hence, the correct answer is the product will be smaller than both factors.
I hope this helped & Good Luck <3!!!!
I’m not good at these
That's quadratic.
y=x^2
It's a very simple version of y=ax^2+bx+c. Just in this case, a = 1, b = 0 and c = 0.
8. Write a paragraph proof.
Proof Given: In a plane, a is perpendicular to b, b id perpendicular to c, and c || d.
Prove: a || d
To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.
Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.
Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.
By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.
Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.
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A table has an area of x² + 12x + 35. Find the possible dimensions of the table.
Answer:
x + 7 and x + 5 are possible dimensions
Step-by-step explanation:
x² + 12x + 35 ← factor the quadratic
consider the product of the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (+ 12)
the factors are + 7 and + 5 , since
7 × 5 = + 35 and 7 + 5 = + 12 , then
x² + 12x + 35 = (x + 7)(x + 5) ← in factored form
now the area A = length × breadth , that is
A = x² + 12x + 35 = (x + 7)(x + 5) , then
length = x + 7 or x + 5
breadth = x + 5 or x + 7
Name the property illustrated If g = 3h and 3h = 16, then g = 16
3
The property illustrated ca be classified as the transitive property of equality
Transitive property of equalityEquation are expressions separated by an equal sign. For transitive property, if two system of equation are equal, and the first is equal to the second, then they 2nd is equal to the third, they are transitive.
According to the transitive property of equality, two quantities that are equal to the same thing are equal to each other. For instance If x = 10 and 10 = y, then x = y.
Given that g = 3h and 3h = 16, then g = 16, then the property illustrated ca be classified as the transitive property of equality
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Ms Ramos’s thumb measured 4 centimeters. Express the length in meters
Answer:
0.04 Meters
Step-by-step explanation:
The instructor noted the following scores on the last quiz of the semester for 8 students. Find the range of this data set 59,61,83,67,81,80,81,100
answer: the range is 41.
to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.
then we subtract the minimum from the maximum.
59 - 100 = 41.
what is 1/11 divided by 4?(FRACTION FORM)
Answer: 1/44
Step-by-step explanation:
Find the 1st term, last term and the sum for the infinite arithmetic series
First term:
\(7(3)=21\)Last term:
\(7(15)=105\)Sum:
\(7\cdot3+7\cdot4+7\cdot5+7\cdot6+7\cdot7+7\cdot8+\cdot79+7\cdot10+7\cdot11+7\cdot12+7\cdot13+7\cdot14+7\cdot15\)\(21+28+35+42+49+56+63+70+77+84+91+98+105\)\(819\)Use the distributive property to solve this equation:
4x/5 - x = x/10 - 9/2
zach invested $50 and was able to triple his money in two years. Kayla also began with in investments, and was able to cube her money in two years. Who had more money after two years? Explain