Use the image below to answer questions 3 and 4.
What is the value of x?
Answer: x =
Answer:
x=18
Step-by-step explanation:
Nine more than thirty divided by ten. Numerical expression
The numerical expression for the verbal expression eighteen more than five is (9 + 30) / 10.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now the given verbal expression is,
Nine more than thirty divided by ten
Now converting them into numerical expression,
nine = 9
thirty = 30
∵ more than is addition i.e. +
∴ Nine more than thirty = 9 + 30
ten = 10
So, the numerical expression is given as,
Nine more than thirty divided by ten = (9 + 30) / 10
Thus, the numerical expression for the verbal expression eighteen more than five is (9 + 30) / 10.
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suppose a person was just admitted to the hospital. what is the probability that it would be more than 30 minutes before the next person was admitted?
To determine the probability that it would be more than 30 minutes before the next person is admitted to the hospital, we would need information about the admission process, such as the average rate of admissions or the distribution of inter-admission times.
However, if we assume that the time between admissions follows a continuous random distribution and is independent of the previous admission time, we can make some general assumptions.
Let's assume the time between admissions follows an exponential distribution with a mean of λ (lambda). The exponential distribution is commonly used to model the time between events that occur randomly and independently over time.
In this case, the probability that it would be more than 30 minutes before the next person is admitted can be calculated as the complement of the cumulative distribution function (CDF) of the exponential distribution at 30 minutes.
P(Time > 30 minutes) = 1 - CDF(30 minutes).
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Which of these is NOT part of a plot?
a
beginning
b
transition
C
middle
d
end
Consider the function f(x) = x(x-4.
If the point (2+c,y) is on the graph of f(x), the following point will also be on the graph of f(x):
A) (c-2,y)
B) (2-c,y)
(2-c,y) is the answer for the problem.
Can someone help me I need A,B,C,D done and work shown
Hope this helps
Answer:
A) 81 x $2 = $162. So 81 boxes of juice cost $162
B) 78 x $4 = $312. So 78 muffins cost $312
C) 52 x $29 =$1,508. So 52 CDs cost $1,508
D) I can’t see the picture to the side
The box-and-whisker plot below represents some data set. What percentage of the
data values are between 16 and 72?
20
40
60
80
100
Considering the given box-and-whisker plot, it is found that 50% of the data values are between 16 and 72.
What does a box-and-whisker plot shows?A box and whisker plot shows five things:
The minimum value.The 25th percentile, which is the median of the bottom 50%.The median, which splits the entire data-set into two halfs, the bottom 50% and the upper 50%.The 75th percentile, which is the median of the upper 50%.The maximum value.From this plot, we have that:
The 25th percentile is of 16.The 75th percentile is of 72.Hence, 50% of the data values are between 16 and 72.
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Work out the equation of the line of reflection that
transforms shape P into shape Q.
The equation of line of reflection that transforms shape P into shape Q is y=7.
Reflection Definitiona reflection is known as a flip. A reflection is a mirror image of its shape. An image will reflect through the line, known as the line of reflection. Every point in a figure is said to mirror the other figure when they are all equally spaced apart from one another.
In the given figure, Shape P and Shape Q touches the line y=7 and Shape Q forms exact reflection of Shape P
Hence, the equation of the line of reflection that
transforms shape P into shape Q. is y=7.
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4.* 4. Students were asked how many hours a weeknight they spend on homework and exercise. The dot plots display the results. Which statement is not supported? Homework Exercise LG 2 3 4 5 Number of Hours 1 2 3 4 5 Number of Hours A. More time is spent on homework than exercise. B. The mode activity times are equal. C. The median exercise time is not equal to the median homework time. D. The range of homework hours is greater for homework than for exercise ОА
Analyze each statement to see if it is supported by the dot plots or not.
A) More time is spent on homework than exercise.
Find the total time spent on each activity to compare
what aspect of this data may make the traditional (parametric) test for a sample mean un-advisable?
The traditional (parametric) test for a sample mean assumes that the data is normally distributed. If the data is not normally distributed, then this test may not be appropriate. Additionally, the parametric test assumes that the sample size is sufficiently large (usually greater than 30) in order for the Central Limit Theorem to apply.
If the sample size is too small, then this test may not be reliable. Furthermore, if there are outliers or extreme values in the data, then the parametric test may not accurately reflect the true underlying population. In such cases, non-parametric tests may be more appropriate, as they do not rely on assumptions about the distribution of the data. It is important to carefully consider the nature of the data before choosing a statistical test to ensure accurate and reliable results.
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Answer this question please
NO FAKE ANSWERS OR I WILL REPORT
Answer:
D
Step-by-step explanation:
the figure is composed of a rectangle and a right triangle ( top )
calculate the hypotenuse h of the right triangle using Pythagoras' identity
h² = 6² + 8² = 36 + 64 = 100 ( take square root of both sides )
h = \(\sqrt{100}\) = 10
the base of the rectangle is equal to h , then perimeter (P) of pentagon is
P = 10 + 4 + 6 + 8 + 4 = 32 cm
Hello and Good Morning/Afternoon:
Let's take this problem step-by-step:
What does the problem want:
⇒ the dimensions or the perimeter of the pentagon
What information do we need to find the perimeter:
⇒ the unknown side length
Let's find the unknown side length:
\(\hookrightarrow \text{split the pentagon into two shapes as shown in the image below}\\\hookrightarrow \text{the hypotenuse of the right triangle is equal to the length of the unknown side}\\\hookrightarrow\text{hypotenuse}=\sqrt{6^2+8^2}= \sqrt{36+64}=\sqrt{100}=10\\\)\(\hookrightarrow \text{the unknown side length is 10}\)
Perimeter = 6 + 8 + 4 + 4 + 10 = 32
Answer: 32 or (D)
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2c+2b in standard from
Answer:
2c+2b
Step-by-step explanation:
this is because standard form only applies to no. from 10 and above , furthermore, they are unlike terms
What is the value of q? 4 startroot 5 endroot 2 startroot 14 endroot 20 startroot 5 endroot 64 startroot 5 endroot
Answer:
2 StartRoot 14 EndRoot
Step-by-step explanation:
Find the slope of the line that passes through the points A(-3, 1) and B(2, -5).
Answer:
\(m = \frac{ - 5 - 1}{2 - ( - 3)} = - \frac{6}{5} \)
A student is comparing the mass of four bananas to the mass of four apples what is the difference in mass in grams between the bananas and the apples
The difference in mass between the bananas and the apples is 4 times the difference between the mass of one banana and the mass of one apple, which is represented by (b - a).
Let's say the mass of one banana is 'b' grams and the mass of one apple is 'a' grams. Since we have four bananas and four apples, the total mass of the bananas would be 4b grams, and the total mass of the apples would be 4a grams.
To find the difference in mass between the bananas and the apples, we need to subtract the mass of the apples from the mass of the bananas:
Difference in mass = Mass of bananas - Mass of apples
Mathematically, this can be represented as:
Difference in mass = (4b) - (4a)
We can simplify this further by factoring out the common factor of 4:
Difference in mass = 4(b - a)
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does the higher cost of tuition translate into higher-paying jobs? the table lists the top ten colleges based on mid-career salary and the associated yearly tuition costs. construct a scatter plot of the data. school mid-career salary (in thousands) yearly tuition princeton 137 28,540 harvey mudd 135 40,133 caltech 127 39,900 us naval academy 122 0 west point 120 0 mit 118 42,050 lehigh university 118 43,220 nyu-poly 117 39,565 babson college 117 40,400 stanford 114 54,506 webassign plot webassign plot webassign plot webassign plot
The “yearly tuition costs” as an independent variable which should be plotted on X-axis and “mid-career salary” as a dependent variable on Y-axis. The scatterplot is made of them.
Based on the table provided, it is possible to observe that there is not necessarily a clear relationship between the cost of tuition and mid-career salary.
While some of the colleges with higher tuition costs (such as MIT and Stanford) have high mid-career salaries, others (such as Harvey Mudd and Caltech) also have high mid-career salaries despite lower tuition costs. Additionally, some colleges with low or zero tuition costs (such as the US Naval Academy and West Point) also have high mid-career salaries.
Therefore, it is not safe to assume that a higher cost of tuition will necessarily translate into higher-paying jobs. The scatter plot of yearly tuition costs and mid-career salary is made.
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HELP HELP ME PLSS!! Please I really need help....
The sum of the measures of the interior angles of a decagon (10 sided polygon) is 1,440
giving brainliest How many square feet of outdoor carpet will we need for this hole?
Answer:
39 square feet
Step-by-step explanation:
the area of a rectangle is equal to its base times its height.
we can break the two rectangles up and find their areas and then add the areas together for the final answer.
3 x 2 = 6
3 x 11 = 33
33 + 6 = 39
7
Each weekday, a factory produces 16 truckloads of canned corn and 12 truckloads of canned peas. The expression
5 (16+12) represents the total number of cans produced each week by the factory, which expression also represents
the total number of cans produced each week by the factory?
(5) P-4-7 set up & solve, rate
A gold dredge is a machine that was used in the early 1900s to extract gold from a river or pond. The amount of
dirt a gold dredge can dig in 1 minute is equal to the amount it would take 3 people, each digging at the same
rate, to dig in 1 day. At this rate, how many days would it take 2 persons to dig as much dirt as a gold dredge
can dig in 60 minutes ?
A) 30 B) 45 C) 60 D) 90
Show work please.
Answer:
D) 90 Days
Step-by-step explanation:
dredge 1 min = 3 people days
when I say people days, I mean 3 people working one day
multiply each side by 60 to get the desired 60 min of dredge:
dredge 60 min = 180 people days
As we currently have this set up, it will take 180 people, 1 day to do the same amount of work as 60 min of dredge, but we only want 2 people. This means we need to divide the people days by 2 to get how many days are needed for 2 people, thus:
dredge 60 min = 2 people for 90 days
Ellen gave birth to quadruplets weighing 5 lb 6 oz is 4 pounds 10 ounces is 4 lb 14 oz in 5 lb to ounces what was that old birth weight in pounds are the quadruplets
First, we have to express all the weights in pounds only.
We know that 1 pound is equivalent to 16 ounces. Let's transform each ounce.
\(6oz\cdot\frac{1lb}{16oz}=\frac{6}{16}lb=\frac{3}{8}lb\)Then, we sum to the first weight.
\(5+\frac{3}{8}=\frac{40+3}{8}=\frac{43}{8}=5.375\)The first birth weighed 5.375 pounds.Now, we transform the ounces of the second birth.
\(10oz\cdot\frac{1lb}{16oz}=\frac{10}{16}lb=\frac{5}{8}lb\)Then, we sum.
\(4+\frac{5}{8}=\frac{32+5}{8}=\frac{37}{8}=4.625lb\)The second birth weighed 4.625 pounds.\(14oz\cdot\frac{1lb}{16oz}=\frac{14}{16}lb=\frac{7}{8}lb\)Then, we sum.
\(4+\frac{7}{8}=\frac{32+7}{8}=\frac{39}{8}=4.875lb\)The third birth weighed 4.875 pounds.\(2oz\cdot\frac{1lb}{16oz}=\frac{2}{16}lb=\frac{1}{8}lb\)Then, we sum.
\(5+\frac{1}{8}=\frac{40+1}{8}=\frac{41}{8}=5.125lb\)The fourth birth weighed 5.125 pounds.At last, we have to sum all the pounds.
\(5.375+4.625+4.875+5.125=20\)Hence, the total weight in pounds is 20.Mixed in a drawer are 8 blue socks, 8 white socks, and 2 gray socks. You pull out two socks, one at a time, without looking. Find the probability of getting 2 socks of the same color The probability of getting 2 socks of the same color is
The probability of getting 2 socks of the same color isP(two socks of same color) = P(2 blue socks) + P(2 white socks) + P(2 gray socks)= 28/153 + 28/153 + 1/153= 57/153 = 19/51. Hence, the required probability is 19/51.
The probability of getting 2 socks of the same color is given by P(two socks of same color) = P(2 blue socks) + P(2 white socks) + P(2 gray socks).Given, There are 8 blue socks. There are 8 white socks. There are 2 gray socks. Now, we will find the probability of getting 2 blue socks: Probability of selecting one blue sock from 8 blue socks is 8/18.
Probability of selecting another blue sock from 7 blue socks is 7/17.Probability of getting 2 blue socks is P(2 blue socks) = 8/18 * 7/17 = 28/153. Now, we will find the probability of getting 2 white socks: Probability of selecting one white sock from 8 white socks is 8/18.Probability of selecting another white sock from 7 white socks is 7/17.Probability of getting 2 white socks is P(2 white socks) = 8/18 * 7/17 = 28/153.
Now, we will find the probability of getting 2 gray socks: Probability of selecting one gray sock from 2 gray socks is 2/18.Probability of selecting another gray sock from 1 gray sock is 1/17.Probability of getting 2 gray socks is P(2 gray socks) = 2/18 * 1/17 = 1/153.
Therefore,The probability of getting 2 socks of the same color isP(two socks of same color) = P(2 blue socks) + P(2 white socks) + P(2 gray socks)= 28/153 + 28/153 + 1/153= 57/153 = 19/51. Hence, the required probability is 19/51.
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Find the distance between the points A(13, 2) and B(7, 10). The distance between the RESPOESTA two points is
Using it's formula, the distance between the points A(13,2) and B(7,10) is of 10 units.
What is the distance between two points?Suppose that we have two points, \((x_1,y_1)\) and \((x_2,y_2)\). The distance between them is given by:
\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
In this problem, the points are A(13,2) and B(7,10), hence the distance is given by:
\(D = \sqrt{(13 - 7)^2+(2 - 10)^2}\)
D = sqrt(100)
D = 10 units.
The distance between the points A(13,2) and B(7,10) is of 10 units.
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Question 3 The Schwarzschild metric is given by 2M 2M ds² -(₁-²M) di² + (1-²¹)- 1- dr² +r² (d0² + sin² 0 dó²). There are Killing vectors associated with time invariance and angular momen- tum invariance in the direction in this geometry leading to the conserved quantities e = (1-2) and l= r² sin² 0 dr From this one can derive an analog to the radial energy equation in Newtonian mechanics by orienting the coordinates so that the orbits are confined to the equatorial plane where 0 = π/2 and u = 0. One finds 2 1 dr + Veff (r) = E 2 dr (e²_ -1) where E = and Veft(r) = - + 2/²/²2 - Mp³². Further, for circular orbits one can show that M | [₁ + √/₁−12 (+1)]. r+= | 2M Finally, for circular orbits of radius R do 1/2 M dt R³ (a) Which value of r corresponds to the Schwarzschild radius of stable circular orbits: r or r? Justify your answer. [3 marks] (b) Show that for circular orbits of radius R do 1/2 M -1/2 3M (²) ¹² (1-³) dT R³ R where is the proper time. [6 marks] (c) A free particle is moving in a circular orbit around a spherical source of curvature of mass M. The Schwarzschild radius of the orbit is 8M. Use the equivalence principle to argue that the period as measured at infinity should be larger than that measured by the particle. [4 marks] (d) Find the period of the orbit as measured by an observer at infinity. Find the period of the orbit as measured by the particle. [7 marks] M
(A) Circular orbits of stable particles are possible at radii greater than three times the Schwarzschild radius for the non-rotating spherically symmetric mass.
This represents the radius of a black hole's event horizon, within which nothing can escape. The Schwarzschild radius is the event horizon radius of a black hole with mass M.
M can be calculated using the formula: r+ = 2Mwhere r+ is the radius of the event horizon.
(B) 1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ R. This is the required expression.
Tau is the proper time of the particle moving around a circular orbit. Hence, by making use of the formula given above:1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ dt.
(C) Time passes differently in different gravitational fields, and it follows that the period as measured at infinity should be larger than that measured by the particle.
The principle of equivalence can be defined as the connection between gravitational forces and the forces we observe in non-inertial frames of reference. It's basically the idea that an accelerating reference frame feels identical to a gravitational force.
(D) The period of the orbit as measured by an observer at infinity is 16π M^(1/2) and the period of the orbit as measured by the particle is 16π M^(1/2)(1 + 9/64 M²).
The period of orbit as measured by an observer at infinity can be calculated using the formula: T = 2π R³/2/√(M). Substitute the given values in the above formula: T = 2π (8M)³/2/√(M)= 16π M^(1/2).The period of the orbit as measured by the particle can be calculated using the formula: T = 2π R/√(1-3M/R).
Substitute the given values in the above formula: T = 2π (8M)/√(1-3M/(8M))= 16π M^(1/2)(1 + 9/64 M²).
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sigma factors are necessary in which phase of transcription?
Sigma factors are necessary in the initiation phase of transcription. This phase requires a complex called RNA polymerase to locate the DNA's start site and begin the synthesis of a new RNA strand.
RNA polymerase recognizes promoters, which are DNA sequences adjacent to the transcription start sites that define the start site for RNA synthesis. Sigma factors are subunits of RNA polymerase that help it recognize promoters.Sigma factors regulate the initiation of RNA synthesis by RNA polymerase.
The sigma factor is a DNA-binding protein that recognizes specific promoter sequences and recruits RNA polymerase to the DNA molecule at the appropriate location. When the sigma factor binds to a promoter, RNA polymerase becomes anchored and initiates transcription. There are several sigma factors, each of which recognizes a different promoter sequence.
They are required for transcription of different sets of genes in response to environmental cues or other cellular stimuli.It is worth noting that the promoter sequence that sigma factors bind to can vary in terms of its similarity to the consensus sequence recognized by the sigma factor.
Sigma factors can also recognize alternative promoter sequences that bind to the RNA polymerase core enzyme with lower affinity than the consensus sequence. In general, a promoter with a perfect match to the consensus sequence is more effective than one with a non-perfect match in initiating transcription.
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a land lady rented out her house for$240,000 for one year. During the year she paid 15%of the rent as income tax. she also paid 25% of the rent property tax and spent $10,000 on repairs. calculate the landlady's total expenses
Answer: 106,000 dollars
Step-by-step explanation:
She paid 36,000 dollars as income tax and 60,000 on the rent property tax and 96,000 dollars + 10,000 dollars is 106,000 dollars.
Paul purchases an antique circular frame for his mom for Mother's Day. The diameter of the frame is 18 cm. What is the area of the bowl
Answer:
254.34cm²
Step-by-step explanation:
the bowl is shaped is shaped in the form of a circle
Area of the bowl is equal to the area of a circle
area of a circle = πr²
π = 3.14
r = 18/2 = 9
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
3.14 x 9² = 254.34cm²
which of the following images (A, B, or C) shows the given figure moving down 2 units and right 3 units
To determine which of the given images (A, B, or C) shows the given figure moving down. Looking at the figure, we can see that the movement requires both a vertical and horizontal change. Therefore, we need to find an image that represents a downward and rightward movement.
Image B shows the figure moving down 2 units and right 3 units. We can see that the figure is shifted to the right by three units and down by two units relative to the original position.
Image A shows the figure moving up by two units and rightward by three units, which is the opposite direction to the required movement.
Image C shows the figure moving leftward by three units and up by two units, which is also the opposite direction to the required movement.
In summary, image B shows the given figure moving down 2 units and right 3 units.
To determine which of the images (A, B, or C) shows the given figure moving down 2 units and right 3 units, follow these steps:
1. Identify the original position of the figure in each image.
2. Observe the movement of the figure in each image.
3. Compare the movement of the figure with the required movement (down 2 units and right 3 units).
First, locate the initial position of the figure in each image. Then, observe how the figure has been moved in each of the three images. For each image, check whether the figure has been moved downwards by 2 units and to the right by 3 units.
For example, if the figure in Image A moves down by 2 units and to the right by 3 units, this image would be the correct answer. If the figure in Image B moves down by 1 unit and to the right by 4 units, this image would not be the correct answer. Similarly, if the figure in Image C moves up by 2 units and to the right by 3 units, this image would not be the correct answer either.
Once you have evaluated each image based on the given criteria, you will be able to identify which image (A, B, or C) correctly shows the figure moving down 2 units and right 3 units.
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7y ^3 −7x^3 +4−5+6−3x^3 +6x^3
Combine Like Terms
Answer:
-4x^3 + 7y^3 + 5
Step-by-step explanation:
7y^3 - 7x^3 + 4 - 5 + 6 - 3x^3 + 6x^3 Given
7y^3 - 7x^3 - 3x^3 + 6x^3 + 4 - 5 + 6 Rearrange
7y^3 - 4x^3 + 5 Combine the like terms
or
-4x^3 + 7y^3 + 5 Answer
Given f(x) = -x + 1, solve for x when f(x) = 0.
Answer:
f(x) = -x + 1
0 = -x + 1
x = 1
Step-by-step explanation:
You put 0 in place of f(x).