The wavelength of radiation that has a frequency of 5.39 x 10¹⁴ s⁻¹ with c = 2.9979 x 10⁸ m/s is 556 nm. So, the correct option is E.
The distance between two successive crests or troughs of a wave, especially points in a sound wave or electromagnetic wave, is called wavelength. It is the length of a wave cycle in space. Mathematically, it is represented as λ = c / f
Where λ is the wavelength
c is the velocity f is the frequency
Formula for calculating wavelength
We can rearrange the equation for the speed of light to calculate the wavelength of light if its frequency is known, and vice versa: c = fλλ = c/fλ = 2.9979 x 10⁸ m/s / 5.39 x 10¹⁴ s⁻¹
λ = 556 nm
Thus, option E is correct.
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Lola bought a new sweater that was on sale for 20% off. The original price was $86.
How much was her discount?
17.2
Step-by-step explanation:
x/86
20/100
cross multiply 86x20=1720
x time 100 is 100 x
isolate: devide by 100 on both sides
x=17.2
17.2 is 20% of 86
Answer:
17.2
Step-by-step explanation:
A hot air balloon ascended to a height of 35 meters 2 minutes after launch. After some time, the balloon's attitude began to change by −3 1/4meters every minute for 9 minutes. To avoid a tree, the hot air balloon flew up by 5 1/2 meters. What is the new altitude of the hot air balloon? _________ meters
Answer
Step-by-step explanation:
9
56
≈0.161
Result9 over 56 approximately 0.161
Step by step
Step 1 of 2: Divide.
Divide
1 over 7
1
7
÷ 8 over 9
8
9
= 9 over 56
9
56
Step 1 of 2: Divide.Show the work
Step 2 of 2: Simplify.
Simplify
9 over 56
9
56
A taxi driver charges a $2 gas fee plus $1.25 for each mile. He charges a customer
$17 for a ride. Write and solve an equation to find the distance the customer
traveled in the taxi. *
I think the answer is y=2(17)+1.25.
Answer:
$2+$1.25x=$17
Step-by-step explanation:
You have to add the $2 to the $1.25 for each mile then multiply that by x to get $17. I think but I could be wrong
Substitute the expressions for length and width into the formula 2l 2w. distribute 2 to each term in the parentheses. combine like terms. inches
The perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6
What is perimeter of the rectangle?
The formula P=2l+2w, where l is the rectangle's length and w is its width, determines the perimeter P of a rectangle. The equation A=lw, where l is the length and w is the width, determines the area A of a rectangle.The perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x+ 6
The formula for calculating the perimeter of a rectangle is expressed as:
P = 2( l + w)
Given the following parameters
length l = 8x - 1
width w = 2x + 4
Substitute the expressions for the length and width into the formula;
P = 2(8x - 1 + 2x + 4)
P = 2(10x + 3)
Distribute 2 over each term in the parenthesis
P = 2(10x) + 2(3)
P = 20x + 6
Hence the perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6.
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The complete question is -
The perimeter formula for a rectangle is 2l + 2w, where l is the length and w is the width. Complete the steps to find an expression that represents the perimeter of the rectangle. Substitute the expressions for length and width into the formula 2l + 2w. Distribute 2 to each term in the parentheses. Combine like terms. inches
write the sequence of natural numbers which leaves the remainder 3 on didvidng by 10
The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:
3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Evaluate 2p-nm-4, if m=3, p=15, and
n=5.
Step-by-step explanation:
given m = 3, p = 15 and n = 5,
\(2p - nm - 4 \\ = 2(15) - (5)(3) - 4 \\ = 30 - 15 - 4 \\ = 15 - 4 \\ = 11\)
The average of a sample of high daily temperature in a desert is 114 degrees F, a sample standard deviation or 5 degrees F, and 26 days were sampled. What is the 90% confidence interval for the average temperature? Please state your answer in a complete sentence, using language relevant to this question.
In a sample of 26 days from the desert, the average of the high daily temperature is 114 degrees F, and the sample standard deviation is 5 degrees F.
To determine the 90% confidence interval for the average temperature, we can use the t-distribution as follows:To find the critical value of t, we can use the t-table. Since our sample has n = 26, the degrees of freedom (df) are n - 1 = 25. At a confidence level of 90%, with 25 degrees of freedom, the critical t-value is 1.708.The standard error of the mean is calculated as s / sqrt(n), where s is the sample standard deviation and n is the sample size. Therefore, the 90% confidence interval for the average temperature is (114 - 1.67, 114 + 1.67), or (112.33, 115.67) degrees F.
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pls help if you can asap!!!!
Answer: x= 6
Step-by-step explanation:
Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.
You can see they do not look the same so they add up to equal 180
12x + 3 +105 = 180
12x + 108 = 180
12x = 72
x = 6
hcf of 14 28 and 56 by long division method
Answer:
14
Step-by-step explanation:
Note that 14 is a factor of 28 and also a factor of 56. Thus, 14 is the greatest common factor of 14, 28 and 56.
Answer:
The common factors for 56,28,14 56 , 28 , 14 are −14,−7,−2,−1,1,2,7,14 - 14 , - 7 , - 2 , - 1 , 1 , 2 , 7 , 14 .
Hope that helps
My hw says, "suppose E has a coordinate of -1 And EG= 7" what is the possible coordinate of G?
Answer:
-8,6
Step-by-step explanation:
from what i can tell this is a 1D problem. |E-G|=7, and E=-1, so -1-G=+-7. G=-8 or 6
Answer: Wouldn’t the possible coordinate of G be 8?
Step-by-step explanation:
If E is -1 and we know that EG combined is 7, we can deduce that you have to have an 8 to get 7 because 8 + -1 = 7 or E + G = EG
When a sample has the same characteristics as the target population, the sample is said to be a(n) ____ sample.
When a sample has the same characteristics as the target population, the sample is said to be a representative sample.
When a sample has the same characteristics as the target population, the sample is said to be a representative sample.
Let's take a look at this definition in more detail below:
A representative sample is a sample that adequately represents the population, which is selected randomly, so that each member of the population has an equal chance of being included. A representative sample should have the same characteristics of the population it represents.
To get a representative sample, researchers must select participants randomly. A representative sample has the same distribution of variables as the population in which it was derived. It is generally believed that a representative sample is necessary for generalizing the results to the population
Therefore, the results obtained from a representative sample can be generalized to the larger population.In a nutshell, a representative sample is a sample that represents the population from which it was selected. It should have similar characteristics to the population from which it was drawn.
A representative sample is a necessary prerequisite for generalizing the results to the larger population. It ensures the accuracy of the study and the validity of the results obtained. The sample size should be large enough to provide adequate statistical power and enable the results to be generalized to the population.
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According to Euler, the buckling load for a column is given by P= xt 2
π 2
Et
. In this equation, the value of x for a column with one fixed end and the other end free is a) 1 b) 2 c) 4 d) 1/2
The theory behind Euler's equation and the boundary conditions for a column with one fixed end and the other end free. Therefore, the answer to the question is d) 1/2, as x = π/2L = (2(1) - 1)π/2L = (2n - 1)π/2L when n = 1/2.
Euler's equation is derived from the Euler-Bernoulli beam theory, which states that a slender column under axial compression will buckle when the compressive stress exceeds a certain critical value. The buckling load is given by the equation P= xt^2π^2Et, where P is the buckling load, x is a dimensionless factor called the slenderness ratio (the ratio of the column length to its cross-sectional dimensions), t is the thickness of the column wall, E is the modulus of elasticity of the column material, and π is the mathematical constant pi.
For a column with both ends pinned, the value of x is given by x = nπ/L, where n is an integer and L is the length of the column. For a column with one end fixed and the other end free, the value of x is given by x = (2n - 1)π/2L, where n is an integer. In this case, we have a column with one fixed end and the other end free, so we need to use the equation x = (2n - 1)π/2L to find the value of x. Since n can be any integer, we can choose n = 1 to simplify the equation and get x = π/2L.
Substituting this value of x into Euler's equation, we get P = (π/2L)²π²Et = π²Et/4L². This means that the buckling load for a column with one fixed end and the other end free is proportional to the modulus of elasticity and inversely proportional to the square of the length of the column.
Therefore, the answer to the question is d) 1/2, as x = π/2L = (2(1) - 1)π/2L = (2n - 1)π/2L when n = 1/2
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The tread life of tires mounted on light-duty trucks follows the normal probability distribution with a population mean of 60,000 miles and a population standard deviation of 4,000 miles. Suppose we select a sample of 90 tires and use a simulator to determine the tread life. What is the likelihood of finding that the sample mean is between 59,050 and 60,950
The likelihood of finding that the sample mean is between 59,050 and 60,950 miles can be determined by calculating the probability using the normal distribution with a sample size of 90, a population mean of 60,000 miles, and a population standard deviation of 4,000 miles.
To find out the probability of getting a sample mean between 59,050 and 60,950, a simulator is used to determine the tread life of tires mounted on light-duty trucks that follows a normal probability distribution.
Here, the population mean is 60,000 miles and the standard deviation is 4,000 miles. The given sample size is 90.
We can use the formula for standardizing the score. The standardized score for the lower limit of 59,050 is -2.78, and that of the upper limit of 60,950 is 2.78. Now, we need to find the probability of getting the mean value between -2.78 and 2.78.
We can use the standard normal distribution table to find the value, which is 0.9950 for z = 2.78 and 0.0050 for z = -2.78. Hence, the required probability is 0.9900.
Therefore, the likelihood of finding that the sample mean is between 59,050 and 60,950, for a sample size of 90 tires, is 0.9900.
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Find the values of a,b and c
Answer:
a = -2
b = -10
c = -12
Step-by-step explanation:
a quadratic inequality is set up in the form of y < ax^2 + bx + c
if we substitute each value from the original equation into this formula, we can find the values of a, b, and c.
De
buy?
5. A department store is running a special on
shirts. A 3-pack costs $10.95, while a 6-pack
costs $19.95. Which is the better buy?
A
B.
Answer:
B
Step-by-step explanation:
simplify 2√6-4√24+V96
The simplified form of the expression 2√6 - 4√24 + √96 is -2√6. The square roots have been simplified, and the terms involving √6 have been combined to give the final result of -2√6.
To simplify the expression 2√6 - 4√24 + √96, we need to simplify the square roots and combine like terms.
First, let's simplify the square roots:
√6 cannot be simplified further because it does not have any perfect square factors.
√24 can be simplified as multiplying √(4 × 6), which equals 2√6.
√96 can be simplified as √(16 × 6), which equals 4√6.
Now, let's substitute these simplified square roots back into the expression:
2√6 - 4√24 + √96 becomes:
2√6 - 4(2√6) + 4√6
We can combine the like terms:
2√6 - 8√6 + 4√6 equals (-8 + 2 + 4)√6 which simplifies to -2√6.
The simplified form of the expression 2√6 - 4√24 + √96 is -2√6. The square roots have been simplified, and the terms involving √6 have been combined to give the final result of -2√6.
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Suppose that X ~ N(70,38). If your critical value is 1.69, what is the 95% UPPER bound? Answer to the nearest tenth.
(In other words, you are 95% confident that X will be LESS than what number?)
The 95% upper bound represents the value below which 95% of the data falls. In this case, we have X ~ N(70,38), which means that X follows a normal distribution with a mean of 70 and a standard deviation of 38.
To find the 95% upper bound, we need to find the z-score associated with the 95th percentile.
The z-score can be calculated using the formula:
z = (x - μ) / σ
Where:
x is the value we want to find the z-score for,
μ is the mean of the distribution, and
σ is the standard deviation of the distribution.
In this case, we want to find the z-score corresponding to the 95th percentile, which is 1.645. However, the critical value given is 1.69, which is slightly higher than 1.645. Therefore, we will use the critical value of 1.69 instead.
Now, we can rearrange the formula to solve for x:
x = z * σ + μ
Plugging in the values, we have:
x = 1.69 * 38 + 70
Calculating this, we find that the 95% upper bound is approximately 135.1.
Therefore, we can say with 95% confidence that X will be less than approximately 135.1.
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a class rolled number cubes. their results are shown in the table. what is the experimental probability of rolling the number 3? round your answer to the nearest tenth.
The experimental probability of rolling the number 3 is approximately 0.2
Experimental probability is the ratio of the number of times an event occurs to the total number of trials or observations conducted in an experiment or a trial. It is an estimate of the probability of an event based on the actual outcome of a series of trials or experiments.
To find the experimental probability of rolling the number 3, we need to divide the number of times the number 3 occurred by the total number of rolls.
From the table, we can see that the number 3 occurred 45 times. The total number of rolls is
42 + 44 + 45 + 44 + 47 + 46 = 268
So, the experimental probability of rolling the number 3 is
45/268 = 0.168 (rounded to the nearest tenth)
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The given question is incomplete, the complete question is:
A class rolled number cubes. their results are shown in the table. what is the experimental probability of rolling the number 3? round your answer to the nearest tenth.
simplify the expression by combining like terms
-7k-3+8j+4j-3k+18
Answer:
-10k+12j+15
Step-by-step explanation:
-7k-3+8j+4j-3k+18
-7k-3k+8j+4j-3+18
-10k+12j+15
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if dyllan makes 7 out of 10 free throws on any given day what is the probability he will make his next free throw? ( write your answers as a precent.)
Answer:
70%
Explanation:
The probability can be calculated as the number of free throws that Dylan makes divided by the total number of free throws.
So, if Dylan makes 7 out of 10 free throws, the probability can be calculated as:
\(P=\frac{7}{10}=0.7\)Then, to know the probability as a percent, we need to multiply 0.7 by 100% to get:
P = 0.7 x 100% = 70%
Therefore, the answer is 70%
You pick a card at random. 4 5 6 7 What is P(less than 7)? Write your answer as a fraction or whole number.
Answer:
3/4 is less than 7.
Step-by-step explanation:
There are 4 numbers but there are only 3 less than 7.
The probability P(less than 7) is 3/4.
What is probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
For the given situation,
The cards are numbered as s = {4,5,6,7}
⇒\(n(s)=4\)
The event is probability of picking the cards less than 7
Cards less than \(7\) , \(e=4,5,6\)
⇒\(n(e)=3\)
Probability of picking the card is given by \(p(e)=\frac{n(e)}{n(s)}\)
On substituting the values,
⇒\(p(less than 7)=\frac{3}{4}\)
Thus the probability P(less than 7) is 3/4.
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a 8-sided die is rolled infinitely many times. let x be the average of the first 39 die rolls. what is var(x)?
The variance of the average of the first 39 die rolls is approximately 0.1346.
What is probability?Probability is a fundamental concept in mathematics and statistics that quantifies the likelihood or chance of an event occurring. It measures the degree of uncertainty associated with an outcome or event.
To calculate the variance of the average of the first 39 die rolls, we need to know the variance of a single roll of an 8-sided die. Assuming the die is fair, with each side equally likely, the variance of a single roll of an 8-sided die can be calculated using the formula:
Var(X) = [(n² - 1) / 12]
where n is the number of sides on the die. In this case, n = 8.
Var(X) = [(8² - 1) / 12]
= [(64 - 1) / 12]
= 63 / 12
= 5.25
Therefore, the variance of a single roll of an 8-sided die is 5.25.
Now, since the average of the first 39 die rolls is taken, and each roll is independent and identically distributed, we can apply the properties of independent and identically distributed random variables to find the variance of the average.
The variance of the average of a set of independent random variables can be calculated by dividing the variance of a single random variable by the sample size.
Var(X) = Var(Y) / n
where Var(X) is the variance of the average, Var(Y) is the variance of a single random variable, and n is the sample size.
In this case, Var(Y) = 5.25 (as calculated above) and n = 39.
Var(X) = 5.25 / 39
= 0.1346
Therefore, the variance of the average of the first 39 die rolls is approximately 0.1346.
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plz have explanation with answer
3(K-2)=15
How do I solve for K
Answer:
7
Step-by-step explanation:
step 1. divide 15 by 3
(K-2)=5
step 2. add the 2 to the 5
K=7
Answer: k = 7
Step-by-step explanation: Start by distributing the 3 through the parentheses on the left side of the equation.
3(k) is 3k and 3(-2) is -6.
So we have 3k - 6 = 15.
Next, isolate the k term by adding 6 to both
sides of the equation and we get 3k = 21.
Now divide both sides by 3 and k = 7.
If you want, you can check your answer by plugging a 7
back into the original equation to see if it works.
the χ2 test is the oldest statistical test still in use and takes into account tabular data.T/F
The χ2 test is not the oldest statistical test still in use. While it is an important and widely used statistical test, it is not the oldest. The χ2 test, also known as the chi-squared test, was developed by Karl Pearson in the late 19th century. It is used to determine whether there is a significant association between two categorical variables.
The χ2 test is a statistical test used to analyze categorical data. It is based on the principle of comparing observed frequencies in a contingency table to the expected frequencies. The test evaluates whether there is a significant association between two categorical variables or if any observed deviations are due to chance.
The χ2 test is commonly used in various fields such as biology, social sciences, market research, and quality control. It can be applied to analyze survey responses, compare proportions between groups, examine the relationship between variables, and assess the goodness of fit of a theoretical distribution to observed data.
However, the claim that the χ2 test is the oldest statistical test still in use is not accurate. There are several other statistical tests that predate the χ2 test, such as the t-test, developed by William Sealy Gosset (aka "Student") in the early 20th century, and the correlation coefficient, developed by Francis Galton in the late 19th century. These tests and others have been instrumental in the development of statistics and continue to be widely used today alongside the χ2 tes.
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Which of the following best describes ethics?
it is a set of thoughts that are made about kinds of individuals
or their manners of conducting activities
it is a set of values that define r
Answer:
the second
Step-by-step explanation:
refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice
ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°, what is the value of m?
6
17
90
102
Answer:
The correct answer is option B. 17
Step-by-step explanation:
It is given that, ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°
To find the value of m
From the figure we can see that, triangle WYZ is an isosceles triangle.
ZW = ZY
Then <YXZ = <WXZ = 90°
It is given ∠YXZ = (6m – 12)°
(6m – 12)° = 90°
6m = 90 + 12 = 102
m = 102/6 = 17
Therefore the value of m = 17
The correct answer is option B. 17
Answer:
its 17. so B
Step-by-step explanation:
just did it
I need help please!!
If m∠3 = 153°, then what are the measures of the remaining angles?
a.) m∠1 = 27°, m∠2 = 27°, m∠4 = 153°
b.) m∠1 = 27°, m∠2 = 153°, m∠4 = 153°
c.) m∠1 = 153°, m∠2 = 153°, m∠4 = 153°
d.) m∠1 = 153°, m∠2 = 27°, m∠4 = 27°
Answer:
it would be d because 2 and 4 would only make sense to be 27° and 1 to be 153
Answer:
<1 = <3 = 153
<2 = <4 = 27
Step-by-step explanation:
Angle 1 and Angle 3 are equal since they are vertical angles
<1 = <3 = 153
<1 and <2 make a straight line so they add to 180
153 + <2 = 180
<2 = 180-153
<2 = 27
<2 and <4 are equal since they are vertical angles
<2 = <4 = 27
PLEASE HELP AND QUICK!!!
Answer:
A
Step-by-step explanation:
dude trust me
Find the area of each figure. Round to the nearest tenth if necessary.
Answer:
B
Step-by-step explanation:
Find square's area:
A = bh
A = 22 × 22
A = 484
Find equilateral (left hand side) triangle's area:
A = bh/2
A = 22 × 22 / 2
A = 484 / 2
A = 242
Find right (right hand side) triangle's area:
A = bh/2
A = 22 × (38-22) / 2
A = 22 × 16 / 2
A = 352 / 2
A = 176
Add all areas together:
A = 484 + 242 + 176
A = 902