Answers
Answer:
The area of the triangle is 6 units squared.
Step-by-step explanation:
The formula for the area of a triangle is A=1/2B*H. The base in this situation is 4, and the height is 3. 4x3 is 12. We are half 12 because we only need 1/2 of the area, as a triangle is half a square. Thus, our answer is 6 units squared.
Answer:
Step-by-step explanation:
A= 1/2 bh >formula
A= 1/2 (3)(4) >turn triangle so 3 is your base, substitute
A=6
Related Questions
the mean number of words per minute (wpm) read by sixth graders is 89 with a standard deviation of 16 wpm. if 66 sixth graders are randomly selected, what is the probability that the sample mean would be greater than 92.25 wpm?
Answers
If 66 sixth graders are randomly selected, the probability that the sample mean would be greater than 92.25 wpm is approximately 0.2142 or 21.42%.
If the sample size is sufficient, we can apply the theorem of central limitation to determine the pattern of distribution of sample means. Since n = 66 is a big enough number in this situation, we may use a normal distribution to roughly comparable the distribution of the sample means.
The general population's mean, which is 89 wpm, is the same as the mean value of the sample means. The following formula can be used to identify the average deviation of the sample means, commonly referred to as the standard deviation or error of the mean:
Standard error is equal to standard deviation squared.(sample size) Standard deviation: 16 squared(66) standard deviation: 1.969 Using the following formula, we can now standardise the sample mean: The formula for z is (sample mean - population mean) / standard error. z = (92.25 - 89) / 1.969 z = 1.732
We may determine the probability when a standard normal random variable is greater than 1.732 using the standard normal distribution table or calculator. This likelihood is roughly 0.0429, or 4.29%. we must remember that rather than just looking for any random variable, we are seeking for the probability that a sample mean is higher than 92.25 wpm. As a result, we must use the sample mean distribution, which we roughly categorized as a normal distribution.
The z-score must then be converted using the following formula to its original units of measurement: Sample mean equals population mean plus z times the standard error. 89 + 1.732 * 1.969 is the sample mean.
92.25 is the sample mean.
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Given g(x) =5x+4 determine x for g(x)=-36
Answers
Answer:
x = -8
Step-by-step explanation:
Set one side of the equation to be -36, and the other side to be the actual equation for g(x) and solve for x.
-35 = 5x + 4
Subtract 4 from both sides.
-40 = 5x
Divide both sides by 5
-8 = x
x = -8
Factorise. 9xy +6y plz help
Answers
3y(3x+2)
9xy+6y
hope it's helpful ❤❤❤❤❤❤
THANK YOU.
#
Answer:
3y(3x + 2)
Step-by-step explanation:
Given
9xy + 6y ← factor out 3y from each term
= 3y(3x + 2) ← in factored form
The Drama club is holding auditions for 5 different parts in a one act play . If 9 people audition how many ways can the role be assigned
Answers
Answer:
15,120
Step-by-step explanation:
i got it correct
answer: 15,120 for (plato/edmentum users).
Show that the trajectory of an object thrown at certain angle with the horizontal is a parabola.
Answers
The equation of the trajectory which can be described using the equations for projectile motion is; y(t) = x·tan(θ) - g·x²/(2·v₀²·cos²(θ)), which is a quadratic equation with a path of a parabola
What is projectile motion?Projectile motion is the motion of an object that is projected in the air under the influence of gravitational attraction.
Let θ represent the angle at which the path of the object makes with the horizontal, and let v₀ represent the velocity of the object. The path of the object can be described using the equations of the motion of a projectile, as follows;
Horizontal component of the velocity, v₀ₓ = v₀ × cos(θ)
Vertical component of the velocity, \(v_{0y}\) = v₀ × sin(θ)
The horizontal motion of the object is therefore;
x(t) = v₀ₓ × t = v₀ × cos(θ) × t
The vertical motion which is under the influence of gravity is; y(t) = \(v_{0y}\) × t - (1/2) × g × t²
v₀ × sin(θ) × t - (1/2) × g × t²
The horizontal component indicates that we get;
t = x/(v₀ × cos(θ))
Plugging in the above expression for t into the equation for y(t), we get;
y(t) = \(v_{0y}\) × t - (1/2) × g × t² = \(v_{0y}\) × x/(v₀×cos(θ)) - (1/2) × g × (x/(v₀×cos(θ)))²
\(v_{0y}\) × x/(v₀×cos(θ)) - (1/2) × g × (x/(v₀×cos(θ)))² = (v₀ × sin(θ)) × x/(v₀×cos(θ)) - (1/2) × g × (x/(v₀×cos(θ)))²
(v₀ × sin(θ)) × x/(v₀×cos(θ)) - (1/2) × g × (x/(v₀×cos(θ)))² = x·tan(θ) - g·x²/(2·v₀×cos(θ))²
The equation, y = x·tan(θ) - g·x²/(2·v₀×cos(θ))², is a quadratic equation, which is an equation of a parabola, therefore, the trajectory of an object thrown at an angle to the horizontal is a parabola.
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Chi-square distributions that are positively skewed have a research hypothesis that is?
Answers
Answer:
A one tailed test
Step-by-step explanation:
Chi-Square Distributions That Are Positively Skewed Have A Research Hypothesis That Is A One-Tailed Test.
Chi-Square distributions are positively skewed, with the degree of skew decreasing with increasing degrees of freedom.
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One-Tailed Test
In probability theory and statistics, the chi-square distribution with k degrees of freedom is the distribution of the sum of squares of k independent standard normal random variables. The chi-square distribution is a continuous probability distribution. The shape of the chi-square distribution depends on its degrees of freedom k. It is used to describe the distribution of the sum of squares of random variables. The chi-square distribution is positively skewed, with decreasing skewness as the degrees of freedom increase. The chi-squre distribution approaches the normal distribution on increase of degree of freedom.Chi-Square distributions that are positively skewed have a research hypothesis that is a One-Tailed Test.
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ASAP HELP
Find the variance and standard deviation of the data set below:
0 0.107
1 0.352
2 0.400
3 0.141
Answers
If the standard deviation of a set of data is 6, then the value of variance is 36
The formula for determining variance is variance = √Standard deviation
Variance of a set of data is equal to square of the standard deviation.
If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula
variance = √Standard deviation
Take square root on both sides
Standard deviation² = 6²
Standard deviation= 36
Hence, standard deviation of a set of data is 6, then the value of variance is 36
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ls 2.1 bigger or 2.9?
Answers
Answer:
2.9
Step-by-step explanation:
The answer is 2.9
Step by step:
Suppose an account will pay 2.65% interest compounded quarterly. A) If $430 is deposited now, predict its balance in 6 years. Answer: $ B) If $700 is wanted in 6 years, how much should be deposited now? Answer: $ An account had $500 deposited 50 years ago at 4.65% interest compounded daily. Under the Banker's Rule, banks could use n=360 instead of 365 because it led to less-difficult, quicker calculations. A) The original terms involved the Banker's Rule, using n=360. Find balance after 50 years under those terms. Answer: $ B) Suppose it was proposed to upgrade this to modern practice, n=365. Find balance after 50 years under those terms. Answer: $ C) Suppose it was proposed to upgrade this to continuous compounding. Find balance after 50 years under those terms. Answer: $ We generally use A=P(1+ nr)for periodic compounding. BUT: for annual compounding, n=1, so 1) for annual compounding, A=P(1+ 1
r) 1t
2) so for annual compounding, A=P(1+r) try this formula for annual compounding: A=P(1+r) tSuppose an account had an original deposit of $300 and drew 4.85% interest compounded annually. Its balance at the end of 26 years would be $
Answers
A) Balance after 50 years under the Banker's Rule (n=360): $5,759.09. B) Balance after 50 years under modern practice (n=365): $5,781.32. C) Balance after 50 years under continuous compounding: $7,155.24.
A) The balance after 50 years under the Banker's Rule (using n=360) for an account with an initial deposit of $500 at 4.65% interest compounded daily would be approximately $5,759.09. The Banker's Rule uses a 360-day year for ease of calculation.
B) If the terms were upgraded to modern practice with n=365, the balance after 50 years would be approximately $5,781.32. Modern practice considers a 365-day year for interest calculation.
C) If the account were upgraded to continuous compounding, the balance after 50 years would be approximately $7,155.24. Continuous compounding assumes interest is calculated and added continuously, resulting in higher growth compared to periodic compounding.
These calculations are based on the compound interest formula, taking into account the principal amount, interest rate, compounding frequency, and time period.
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Find the curve that describes the level curve of value c of the surface z = x^2/4 + y^2/25 where c < 0. a. The level curve is an ellipse centered at the origin. b. The level curve is a hyperbola. c. The level curve is a circle centered at the origin. d. The level curve is a parabola. e. The level curve is empty (contains no points).
Answers
The curve that describes the level curve of value c of the surface \(z=x^{2}/4 + y^{2}/25\) where c < 0 is a hyperbola i.e., the correct option is B.
To find the level curve, we set the surface equation equal to the constant value c:
\(c = x^{2}/4 + y^{2}/25\)
Since c is negative, let's rearrange the equation to isolate the terms with x and y:
\(y^{2}/25 - x^{2}/4 = -c\)
Now, we can rewrite the equation in a more recognizable form by dividing both sides by -c:
\(y^{2}/(25 * -c) - x^{2}/(4 * -c) = 1\)
This equation represents a hyperbola, as it has the general form of the equation for a hyperbola centered at the origin:
\(x^{2}/a^{2} - y^{2}/b^{2} = 1\)
Therefore, the level curve is a hyperbola.
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1) a child puts $1 into a piggy bank. one week later he puts $1.25. two weeks later he puts $1.50 in the bank and so on. how much money does he put in the bank on the 25th week?
omg save me and explain
Answers
Answer:kkkkkkk
Step-by-step explanation:
Today Nia completed her sixth hour of training which represents her sixth hour of training, which represents 7.5% of the total number of hours in the training. How many hours will Nia spend in training in all?
Answers
The times spent in training is an illustration of proportions
The times spent in training is 80 hours
The given parameters are:
Time spent = 6 hours
Time spent as a percentage = 7.5%
Let the total time spent in training be x.
The scenario is represented by the following equation
Time spent = Time spent as a percentage * Total Time
So, we have:
6 = 7.5% * x
Express percentage as decimal
6 = 0.075 * x
Divide both sides by 0.075
80 = x
Rewrite as:
x = 80
Hence, the times spent in training is 80 hours
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Find the area under the standard normal curve between z=â1.16 and z=â0.03 Round your answer to four decimal places, if necessary.
Answers
The area under the standard normal curve between z=â1.16 and z=â0.03 is 0.3663.
To find the area under the standard normal curve between z = -1.16 and z = -0.03, we will use the following steps:
1. Look up the z-values in the standard normal distribution table (or use a calculator or online tool that provides the corresponding probability values).
2. Subtract the probability value for z = -1.16 from the probability value for z = -0.03.
3. Round your answer to four decimal places.
Step 1: Look up the z-values in the standard normal distribution table.
- For z = -1.16, the corresponding probability value is 0.1230.
- For z = -0.03, the corresponding probability value is 0.4893.
Step 2: Subtract the probability values.
Area = P(-0.03) - P(-1.16) = 0.4893 - 0.1230
Step 3: Round the answer to four decimal places.
Area = 0.3663
So, the area under the standard normal curve between z = -1.16 and z = -0.03 is approximately 0.3663.
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Simplifying algebraic expression
Answers
4-6 = -2
x/7-6
Substitute
28/7-6
PEMDAS
28/7 = 4
4-6 = -2
(If you're looking for the expression, it's 4-6. But if straight answer, -2)
Answer:
\( \sf \: \frac{x}{7} - 6 = - 2\)
Step-by-step explanation:
Given information,
\( \sf \rightarrow \: \frac{x}{7} - 6\)
\( \sf \rightarrow \: x = 28\)
Now the value of expression is,
\( \sf \rightarrow \: \frac{x}{7} - 6\)
\( \sf \rightarrow \: \frac{28}{7} - 6\)
\( \sf \rightarrow \: 4 - 6\)
\( \sf \rightarrow \: - 2 = > final \: value\)
Therefore, the answer is -2.
Victor needs to raise $1500 to travel to Spain with his class. He sells magazine subscriptions for $25 each. Which inequality shows how many magazine
subscriptions, m, Victor must sell to earn enough money for his trip?
Answers
Change 90 euros to pounds
Answers
Answer:
The exact amount of British pounds would be 81.769
Step-by-step explanation:
Answer:
81.769 is the answer
Step-by-step explanation:
1. The average monthly electricity consumption of households in a particular community is 89.5 kWh. The standard deviation is 10 kWh. What is the coefficient of variation? Give your answer as a value correct to two decimal places. Do not include the percentage sign in your answer.
2. Approximately 100% of a distribution is contained within three standard deviations of the mean.
Select one:
True
False
Answers
The coefficient of variation (CV) is the ratio of the standard deviation to the mean expressed as a percentage. we get 11.17. Approximately 100% of a distribution is contained within three standard deviations of the mean. is false.
The statement "Approximately 100% of a distribution is contained within three standard deviations of the mean" is false. The correct statement is that approximately 99.7% of a distribution is contained within three standard deviations of the mean. This is known as the empirical rule or the 68-95-99.7 rule. The empirical rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations. This rule is useful in determining the range of values that are considered normal or abnormal for a particular dataset. It is important to note that this rule only applies to normal distributions and not to all distributions. In non-normal distributions, the percentage of data within a certain number of standard deviations of the mean may differ.
The coefficient of variation for the given problem is 11.17 and the statement "Approximately 100% of a distribution is contained within three standard deviations of the mean" is false.
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Which of the following is a perfect square? 221 196 224 176 Need the answer as quick as possible
Answers
Answer:
196
Step-by-step explanation:
196 is the perfect square number, because its square root is 14.
\( \sqrt{196} = 14\)
HELP PLEASE
-x+6-5x=14-2x
Answers
Answer:
the answer is negative 3 v
Step-by-step explanation:
thank you for your points
Answer:
x = -2
Step-by-step explanation:
. If a = 3-4j-k and 5=-27 +5j+k, express 3(ä-b)-2(-a-4b) in terms of i, j, and k (3
Answers
To express \(\(3(\mathbf{a}-\mathbf{b}) - 2(-\mathbf{a}-4\mathbf{b})\)\) in terms of i, j, and k, we first need to determine the values of \(\(\mathbf{a}\)\) and \(\(\mathbf{b}\)\) by separating the real and imaginary parts of the given equations.
Given that \(\(a = 3-4j-k\)\) and \(\(5 = -27 + 5j + k\)\), we can equate the real and imaginary parts separately:
For the real parts:
3 = -27 + k
Solving for k, we find k = 30.
For the imaginary parts:
\(\[-4 = 5j\]\)
Solving for j, we find \(\(j = -\frac{4}{5}\)\).
Now, we can substitute the values of j and k back into the equation \(\(a = 3-4j-k\)\) to find \(\(\mathbf{a}\)\):
\(\[\mathbf{a} = 3 - 4\left(-\frac{4}{5}\right) - 30 = 3 + \frac{16}{5} - 30 = -\frac{107}{5}\]\)
Similarly, we substitute the values of j and k into the equation \(\(5 = -27 + 5j + k\)\) to find \(\(\mathbf{b}\)\):
\(\[\mathbf{b} = -27 + 5\left(-\frac{4}{5}\right) + 30 = -27 - 4 + 30 = -1\]\)
Now, we can substitute the values of \(\(\mathbf{a}\)\) and \(\(\mathbf{b}\)\) into the expression\(\(3(\mathbf{a}-\mathbf{b}) - 2(-\mathbf{a}-4\mathbf{b})\)\) to simplify it:
\(3(\mathbf{a}-\mathbf{b}) - 2(-\mathbf{a}-4\mathbf{b}) &= 3\left(-\frac{107}{5} - (-1)\right) - 2\left(-\left(-\frac{107}{5}\right) - 4(-1)\right) \\&= 3\left(-\frac{107}{5} + 1\right) - 2\left(\frac{107}{5} + 4\right) \\&= 3\left(-\frac{107}{5} + \frac{5}{5}\right) - 2\left(\frac{107}{5} + \frac{20}{5}\right) \\&= 3\left(-\frac{102}{5}\right) - 2\left(\frac{127}{5}\right) \\&= -\frac{306}{5} - \frac{254}{5} \\&= -\frac{560}{5} \\&= -112\)
Therefore, \(\(3(\mathbf{a}-\mathbf{b}) - 2(-\mathbf{a}-4\mathbf{b})\)\) simplifies to -112.
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Semih Bey, her katı eşit yükseklikte olan bir binanın -2. katından asansore binerek 5. kata çıkıyor Semih Bey toplamda3150 santimetre yüksemiştir buna göre binanın her bir katının yükseklığinin kaç santimetre olduğunu bılunuz.
Answers
3150:7=450cm
inş anlamışsındır kolay gelsin :)
1.) Angle 1 and angle 2 are complementary. If the measure of angle 1 is (8x - 6) and the measure of angle 2 is (14 + 8), find the value of x and the measure of angle 1.
Answers
Answer:
If the value of second angle is 14x + 8 then :
x = 4
angle 1 = 26°
Find the y-intercept of the line y = 7/9x + 2/3
Answers
The y-intercept of the equation of line y = (7/9)x + 2/3 is 2/3.
What is the y-intercept of the given equation of line?The slope-intercept form is expressed as;
y = mx + b
Where m is slope and b is y-intercept.
Given the equation of line in the question;
y = 7/9 x + 2/3
Simplify the right hand side
y = (7/9)x + 2/3
Using the slope-intercept form, the y-intercept is 2/3.
Therefore, the y-intercept in point form is (0,2/3).
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Write inequalities if the amount of of quarts of paint needs to be between 1 and 2 quarts
Answers
Answer:
1 ≤ q ≤ 2
Step-by-step explanation:
If q represents the number of quarts of paint needed, the requirement that it be between 1 and 2 can be written ...
1 ≤ q and q ≤ 2
These inequalities can be combined into one compound inequality:
1 ≤ q ≤ 2
__
Additional comment
We have used the usual English language interpretation of "between", which allows the end values to be considered as part of the solution set. That is, 1 quart is sufficient to satisfy the need for "between 1 and 2."
For the following function, which domain value is paired with a range value of 4?
{(1, 2), (2, 4), (3, 6), (4, 8),(5,10)}
Answers
in the dot plot above, the length of the coastline of each country in south america is shown in thousands of kilometers ( 1000-km ) (1000-km)(, start text, 1000, negative, k, m, end text, ), rounded to the nearest thousand kilometers. according to the dot plot, what is the mean length of coastline, in thousands of kilometers?
Answers
The mean length of coastline, in thousands of kilometers, is 6.
To determine the mean length of coastline in thousands of kilometers based on the dot plot, we need to calculate the average value of the data points.
From the dot plot, count the number of data points (dots) and their corresponding values. Add up all the values and divide the sum by the total number of data points.
Let's assume the dot plot consists of 10 data points with the following lengths (in thousands of kilometers): 4, 6, 8, 7, 5, 9, 5, 3, 7, 6.
Sum of the lengths: 4 + 6 + 8 + 7 + 5 + 9 + 5 + 3 + 7 + 6 = 60
Number of data points: 10
Mean length of coastline: 60 / 10 = 6
Therefore, the mean length of coastline, in thousands of kilometers, is 6.
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What is the 10th term of the geometric sequence where a1 = 8,192 and a3 = 512? (1 point)0.031250.06250.1250.15625
Answers
Hello!
Let's write some important information that we know:
• a1 ,= 8,192
,• a3 ,= 512
,• q ,= ?
First, we have to discover the value of q, using the formula below:
\(a_n=a_1\cdot q^{n-1}\)Let's replace n as 3:
\(\begin{gathered} 512=8,192\cdot q^{3-1} \\ 512=8,192\cdot q^2 \\ 8,192q^2=512 \\ q^2=\frac{512}{8192}=\frac{1}{16} \\ \\ q^=\sqrt{\frac{1}{16}}=\frac{\sqrt{1}}{\sqrt{16}}=\frac{1}{4} \\ \end{gathered}\)So, q = 1/4.
With this information, now we are able to calculate the 10th term, using the same formula:
\(\begin{gathered} a_n=a_1\cdot q^{n-1} \\ a_{10}=8,192\cdot(\frac{1}{4})^{10-1} \\ \\ a_{10}=8,192\cdot(\frac{1}{4})^9 \\ \\ \boxed{\mathrm{a_{10}=\dfrac{1}{32}}=0.03125} \end{gathered}\)Answer:Alternative A. 0.03125
Answer:
I just did it and 0.03125 is correct
Step-by-step explanation:
see image below. high points
Answers
Answer:
d
Step-by-step explanation:
3 squared is 9
x^5 -x^8=x^-3 as when dividing same base subtract index
x^5 - x^8= x^-3
The reason why you would subtract is because this is the rule when dividing exponents.
3^2/x^-3
Looking at the options, there isn’t 3^2/x^-3, so we would simplify it to the last step.
The result would be 9^-3
Evaluate the expression 9.3^1
Answers
Answer:
9.3
Step-by-step explanation:
Solve the following inequality:
2|x| < 20
Answers
Answer:
x E (-10,10)
Step-by-step explanation: