The 21-centimeter radiation easily passes through the interstellar dust clouds that prevent optical measurements from being made deep inside the galactic center, enabling the charting of the galaxy's spiral structure.
Hydrogen line:
A change in the energy state of neutral hydrogen atoms results in the formation of the hydrogen line, also known as the 21 centimeter line, H I line, or H I line. Its frequency is exactly 1420 in this electromagnetic radiation.
The charting of the galaxy's spiral structure is made possible by the 21-centimeter radiation's ability to easily pass through the clouds of interstellar dust that prevent optical investigations deep inside the galactic center.
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Please help me asap!!!!!!!
Answer:
46 = .90x + 2(.70x)
x = 20
Step-by-step explanation:
46 = .90x + 2(.70x)
46 = .90x + 1.4x
46 = 2.3x
20 = x
What angle relationships are formed when lines intersect?
O and R are the subsets of a Universal set, U, such that U={22,23,24,25,26,27,28,29,30} 0={ prime numbers } {R}={ even numbers } a) Draw a Venn diagram to represent this information.
b) List the elements of.
i) ( O U R )'
ii) ( O ∩ R)'
iii) O ∩ R
The elements of (OUR)', (O∩R)', and O∩R will be {23, 29}, {22, 23, 24, 26, 28, 29, 30}, and {null}, respectively.
What are Sets?Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.
O and R are the subsets of a Universal set, U, such that
U = {22,23,24,25,26,27,28,29,30}
O = {prime numbers} = {23, 29}
R = {even numbers} = {22, 24, 26, 28, 30}
The elements of (OUR)' will be given as,
(OUR)' = {23, 29}
The elements of (O∩R)' will be given as,
(O∩R)' = {22, 23, 24, 26, 28, 29, 30}
The elements of O∩R will be given as,
O∩R = 0
The elements of (OUR)', (O∩R)', and O∩R will be {23, 29}, {22, 23, 24, 26, 28, 29, 30}, and {null}, respectively.
The Venn diagram is given below.
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IXL Help Fast Please!
Answer:
Step-by-step explanation:
2 times 7 equals 14 8 times 4 equals 32 32 plus 14 equals 46
1. Approximately 75% of light bulbs are good. If 15 light bulbs are chosen
(a) What is the probability that 10 or more are good?
(b) What is the probability that 5 or more are good?
(c) What is the probability that all are good?
Answer:
Step-by-step explanation:
(a) The probability that 10 or more are good is 1/10
(b) The probability that 5 or more are good is 1/25
(c) The probability that all are good is 3/25
Probability:
Basically, the possibility of the outcome of any random event is known as probability.
Given,
Approximately 75% of light bulbs are good.
Here we need to find If 15 light bulbs are chosen, then
(a) The probability that 10 or more are good
(b) The probability that 5 or more are good
(c) The probability that all are good
Let us consider that the total number of light bulbs are 100.
And 75% of the bulbs are good.
Which means there are 75 good bulbs in it.
So, the defective bulbs are
=> 100 - 75
=> 25
So, the probability that 10 or more are good is calculated as,
=> 10/100
=> 1/10
Similarly, the probability that 5 or more are good is
=> 5/100
=> 1/25
And the probability that all are good is,
=> 15/100
=> 3/25
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Option 1: Sample vs. Population
Compare and contrast the terms population and a sample that were reviewed in this unit. How do you decide on which group to use when creating a study or experiment? How can you avoid bias and be sure the study you are executing is accurate?
The best way to decide on which group we should experiment with the population sample is through a random selection.
What are the population and sample?The terms population and sample are often used interchangeably, but there is a subtle difference between the two.Population refers to the entire group of individuals that you want to study. A sample is a subset of the population that you actually study.When creating a study or experiment, you need to decide whether to use a population or a sample. If you want to study a large group of people, it may not be practical to study the entire population. In this case, you would use a sample. However, you need to be careful when selecting a sample, because it is easy to introduce bias.(B) Avoid bias and be sure the study you are executing is accurate:
It is also important to avoid bias when choosing a population or sample for research.The best way to do this is to use a random selection process. This means that every member of the population has an equal chance of being selected for the sample.Therefore, the best way to decide on which group we should experiment with the population sample is through a random selection.
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I need help right with this thanks..
Applying vertical or opposite angles theorem the values of m∠1, m∠3 and m∠4 are 141°, 141° and 39° respectively
Angles at a pointAngles around a point describes the sum of angles that can be arranged together so that they form a full turn. Angles around a point add to 360 °. The sum of the angles is 360° and they have made a full turn, and so the angles around a point add to equal 360° .
This implies that m∠1, m∠2, m∠3 and m∠4 all sum up to 360°
However, m∠2 = 39°
This can be used to find m∠4
m∠2 = m∠4 (Opposite or vertical angles are equal)
Therefore, m∠4 = 39°
But m∠1 and m∠3 are also equal by applying vertical angles theorem too.
Let them be represented by x
x + 39 + x + 39 = 360
Reason : Sum of angles at a point equals 360°
2x + 78 = 360
2x = 282
x = 141°
The values of m∠ 1 and m∠3 are 141° respectively
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Iris's checking account pays simple interest at 3% per year. She has $185 in her account. Write a linear function to model the amount of money in her checking account at any time t.
Which of the following is the correct graph of the linear equation below?
y-1= 1/5 (x+5)
The values for which the given equation satisfies are provided in main body.
What is linear equation?
An equation that has the highest degree of one is understood as a equation. this suggests that no variable in an exceedingly equation has an acquaintance over one. The graph of a equation continually forms a line.
Main body:
According to the question:
y-1= 1/5 (x+5)
To solve this , we need to let one value for x and find its value for y.
Let x= 0
y-1= 1/5 (0+5)
y-1= 1/5 (5)
y =2
for x = 0 , y =2
Let x = 5
y-1= 1/5 (5+5)
y-1= 1/5 (10)
y = 3
for x = 5 , y = 3
Hence the graph is straight line.
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mary wants to order some packs o mini cupcakes for her daughters birthday party. Mary has $200 to spend. Each pack costs $12.75. The total shipping will be $14.50. Determine the number of packs Mary can order
The number of packs of mini cupcakes ordered by Mary are 15 approximately if she has $200 to spend and the cost of each pack is $12.75 and shipping cost is $14.50.
Total amount, Mary can spend = $200
Cost of one pack = $12.75
Total shipping cost = $14.50
Amount remaining after shipping cost = $200 - $14.50 = $185.50
Total packs Mary can order = $185.50/$12.75 = 14.54
Hence, Mary can order approximately 15 packs of mini cupcakes.
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A bin contains 400 colored erasers that fit on the ends of pencils. The
numbers of erasers of each color is as follows.
color Green Blue Red Yellow
Number 88 60 160 92
a) A random sample of 25 erasers is selected, with replacement,
from the bin, find the probability that:
(i) exactly 2 erasers are green;
(ii) at most 3 erasers are blue (4 decimal) ;(use excel and write
the function in answer sheet)
(iii) between 8 erasers and 12 erasers, inclusive, are red. ;(use
excel and write the function)
b) Erasers are selected at random, without replacement, from the bin
until 5 yellow erasers are obtained.
Give two reasons why a binomial distribution does not model
the number of erasers selected.
a) The probabilities are given as follows:
i) Exactly 2 green: 0.0479 = 4.79%.
ii) At most 3 blue: 0.2174 = 21.74%.
iii) Between 8 and 12 red: 0.6926 = 69.26%.
b) The binomial distribution is not used as there is not a fixed number of trials, and also the trials are not independent, as there is no replacement.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The parameter n is dependent of the sample size of 25, hence:
n = 25.
For item i, the probability is of P(X = 2) with p = 88/400 = 0.22, hence, using the binomial distribution, it is of:
0.0479 = 4.79%.
For item ii, the probability is of P(X <= 3) with p = 60/400 = 0.15, hence, using the binomial distribution, it is of:
0.2174 = 21.74%.
For item iii, the probability is of P(8 <= X <= 12), with p = 160/400 = 0.4, hence the probability is of:
0.6926 = 69.26%.
For problem b, the binomial distribution cannot be used, as:
It can take 5, 6, ..., 400 trials to take 5 yellow erasers, there is not a fixed number of trials.There is no replacement, hence the probability of a success on differential trials are different.More can be learned about the binomial distribution at https://brainly.com/question/24756209
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4. (02.02 MC) The following are beginning salaries for a certain industry in different areas: $56,250.00 $79,150.00 $61,360.00 $57,120.00 $57,120.00 $63,190.00 $65,370.00 $59,160.00 Find the median of the data set. (2 points) $57,120.00 $60,260.00 $62,396.00 $120,970.00
the median of the data set is $60,260.00.To find the median of a set of data, we first need to put the values in order from lowest to highest. Then, if the number of values is odd, the median is the middle value.
what is median ?
In statistics, the median is a measure of central tendency that represents the middle value of a dataset. To find the median, you need to first arrange the values in order from lowest to highest (or from highest to lowest).
In the given question,
To find the median of a set of data, we first need to put the values in order from lowest to highest. Then, if the number of values is odd, the median is the middle value. If the number of values is even, the median is the average of the two middle values.
In this case, the values in order from lowest to highest are:
$56,250.00
$57,120.00
$57,120.00
$59,160.00
$61,360.00
$63,190.00
$65,370.00
$79,150.00
There are eight values, which is an even number, so we need to take the average of the two middle values, which are $59,160.00 and $61,360.00.
The average of these two values is:
($59,160.00 + $61,360.00) / 2 = $60,260.00
So the median of the data set is $60,260.00.
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a
=
730
rounded to the nearest 10
b
=
20.8
rounded to 1 DP
Find the maximum (to 2 DP) of
a
÷
b
The maximum of a/b to two decimal points after rounding off is 35.10.
According to the question,
We have the following information:
a = 730 (rounded to nearest 10)
b = 20.8 (rounded to 1 decimal point)
Now, we have to find the value of a divided by b and then we have to round off the final result to two decimal points.
So, we have the following expression for division:
a/b
730/20.8
35.0961
Now, when we will round off to two decimal points, we will increase 9 by adding 1 because the right next digit to 9 is greater than 5.
35.10
Hence, the maximum of a/b to two decimal points is 35.10.
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A house has increased in value by 38% since it was purchased. If the current value is 483,000, what was the value when it was purchased?
The catch here is that you cannot find 38% of the current price and then subtract that off. That does not work.
Instead, you need to realize that if the purchase price has increased by 38%, then the current value is 138% of the original price.
You can set up the proportion
[tex]\dfrac{100}{138} = \dfrac{x}{483000}[/tex]
which compares the purchase price to the current value, as percentages and as money values.
To solve, multiply both sides by 483000 to find that x = 350,000.
The purchase price was $350,000.
What is the scale factor from JKL to MNO?
What is the scale factor from MNO to JKL?
What is the distance of line segment JL?
If line segment LK is 5cm, what is line segment ON?
Icm
Write the angle that corresponds to angle JLK? (please type using capital letters)
The scale factor from JKL to MNO is 1/2, and the scale factor from MNO to JKL is 2.
What is a scale factor?The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.
It is given that:
The scale factor from JKL to MNO:
The scale factor = JK/MN = 4/8 = 1/2
The scale factor from MNO to JKL:
The scale factor = MN/JK = 8/4 = 2
JL = 11/2 = 5.5 cm
LK = 5 cm
ON = 5x2 = 10 cm
Angle JLK = Angle MON
Thus, the scale factor from JKL to MNO is 1/2, and the scale factor from MNO to JKL is 2.
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Oliver borrowed $2,000 to purchase a riding lawn mower for his lawn care business. The bank offered him an interest rate of 13% for 9 months. Calculate the simple interest using I = prt.
$195
$260
$1,500
$2,340
Answer:
i think D hope this helps :D
Step-by-step explanation:
Answer:
195
Step-by-step explanation:
1. Find the slope of the line through
(-2,1) and (4,-2).
Answer: ________________________________________________
f(x) = -1/2x
Answer:
Step-by-step explanation:
slope = y2-y1/x2-x1
-2-1/4-(-2)=-3/6=-1/2 or -0.5
5. In a science experiment, Bacteria A gains 3 more bacteria each day, and * Bacteria B triples in size each day. Which bacteria is growing faster over time? Explain your thinking.
this is my homework and I dont understand please help me
23. Meagan uses shipping boxes to mail
850 bags of glass beads. Each box can
hold 24 bags. If she fills each box, how
many bags of glass beads will be left
for the last box? (Should I add,subtract,multiply,or divide?)
True or false
Trade unions and craft union do not mean the same thing.
Answer:
The correct answer is true.
Bill and Jose’s discount cinema sold adult tickets for $5.70 each and children’s tickets for $4.30 each. Last Tuesday a total of $115.80 was collected from 23 movie watchers
Write system of equations
The system of equations are x = 12.071 , y = 10.929
Let x and y are adult and children’s respectively
From the question, we have
Bill and Jose’s discount cinema sold adult tickets for $5.70 each and children’s tickets for $4.30 each.
5.70x + 4.30y = 115.80.............(i)
x+y = 23 ............(ii)
Solving, we get
x = 12.071
y = 10.929
Subtraction:
Subtraction serves as a representation for the act of removing items from a collection. The negative symbol stands for subtraction. For example, if four of the nine oranges that are stacked together (as in the above illustration) are then transported to a basket, the stack will now contain five oranges rather than nine. Therefore, the difference between 9 and 4 is 5, which equals 9 minus 4. In addition to applying it to natural numbers, subtraction can also be used with other kinds of numbers. The letter "-" represents subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation.
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A LADDER IS 5 FEET 6 inches tall how tall is it in inches?
Answer:
66 inch
Step-by-step explanation:
have great day
Y=x-700
2x - y = 800
Answer:
X=
Step-by-step explanation:
first you should substitute for X
Y=X-700
2X-y=800
2X-(X-700]=800
X+700=800
X=100
then you substitute for Y
Y=100-700
Y=-600
last you put in the equations to make sure all the numbers are right.
-600=100-700 good
200--600=800 good
X=100
Y=-600
Parallelogram ABCD is shown. A is at negative 5, 1. B is at negative 4, 3. C is at negative 1, 3. D is at negative 2, 1. Parallelogram ABCD is rotated 90° counterclockwise. What rule shows the input and output of the rotation, and what is the new coordinate of A′? (x, y) → (−x, −y); A′ is at (5, −1) (x, y) → (−y, x); A′ is at (−1, −5) (x, y) → (y, −x); A′ is at (1, 5) (x, y) → (x, −y); A′ is at (−5, −1)
For the rotation in 90° counter clockwise, the rule that shows input and out of the of the rotation is (−y, x) and the new coordinates are (-1, -5)
Rotation:
Rotation defines the transformation in which the object is rotated about a fixed point.
Given,
Parallelogram ABCD
A is at (-5,1)
B is at (-4,3)
C is at (-1,3)
D is at (-2, 1).
Parallelogram ABCD is rotated 90° counterclockwise.
Now, we have to find the rule shows the input and output of the rotation, and what is the new coordinate of A′.
Here we need to find the rotation of A alone.
So, we have to take the point (-5,1) alone.
The rule, that is used for 90° counterclockwise rotation is states that "When rotating a point 90 degrees counterclockwise about the origin then the point A(x, y) becomes A'(-y, x)."
Based on the this rule, we have written the following as,
=> (-5,1) => (-(1), -5)
=> (-1, -5)
Therefore, the new coordinate of A' is (-1, -5)
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Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
A line representing the "rise" and the "run" of the line is shown in the image attached below. Also, a slope of this line in simplest form is equal to 1.27.
How to determine the slope (pitch) of a line?Mathematically, the slope (pitch) of a geometric figure or line can be calculated by using this formula:
Slope (pitch) = V/H
Where:
V represents the rising vertical distance (rise) of an object.
H represents the horizontal distance (run) an object runs through.
From the graph of this line, we would choose the following data points for the rise and run:
Rise (x, y) = (2.5, 2)
Run (x, y) = (8, 9)
Substituting the selected data points into the formula, we have;
Slope (pitch) = (9 - 2)/(8 - 2.5)
Slope (pitch) = 7/5.5
Slope (pitch) = 1.27
At point (2.5, 2), the equation of this line is given by:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y are the data points.y - 2 = 1.27(x - 2.5)
y - 2 = 1.27x - 3.175
y = 1.27x - 3.175 + 2
y = 1.27x - 1.175
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Homework: 4.2 Apply Pythagorean Theorem
Date
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.
Need help with this math please
Step-by-step explanation:
try this option; all the details are in the attachment.
Need help with both of these
Answer: SUCK
Step-by-step explanation:
helpppppppppppppppppppppppppppppppp
Answer:
10
Step-by-step explanation:
put 20 as the value for x and solve the equation:
(4/5) * 20 -6
= 4*20/5 - 6
= 80/5 - 6
= 16 - 6
= 10
Answer:
[tex]\huge\boxed{\sf f(20)=10}[/tex]
Step-by-step explanation:
Given function:[tex]\displaystyle f(x)=\frac{4}{5} x-6[/tex]
Put x = 20
[tex]\displaystyle f(20)=\frac{4}{5} (20)-6\\\\f(20)=4 \times 4 - 6\\\\f(20)=16-6\\\\f(20)=10\\\\\rule[225]{225}{2}[/tex]
Please help me out! I will give brainliest answer!
The values of x =11.3° and y =10° as of given diagram.
A straight angle and a right angle are measured at 90° and 180°, respectively.
In the given diagram, ∠VRT = Right angle= 90°
i.e., (4y)° + (5y)° = 90°
(9y)° = 90°
y = 10°
∴ 4y = 40°
5y = 50°
Then, the line SRU is a straight line. The angle will be 180°;
i.e., (4y)° + (12x - 4)° = 180°
40° + (12x - 4)° = 180°
12x - 4 = 180° - 40°
12x = 140° - 4°
x = 136° / 12
x = 11.3
Hence, the value of x =11.3° and y =10°
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