Answer: 60
Step-by-step explanation:
The square root of 144 is 12.
12 = x/5
You multiply 5 on BOTH sides (make sure when you do something to one side you do it to the other)
60 = x
what would be the slope intercept form?
Answer:
\(y=\frac{7}{2} - 4\)
Step-by-step explanation:
y = mx + b
Where M is the slope and b is the Y-intercept
even though emilio writes neatly and legibly, it takes him a very long time to write a few sentences. which strategy may help emilio to write more fluently?
One strategy that may help Emilio write more fluently is practicing speed writing or shorthand techniques.
Practicing speed writing or shorthand techniques can help Emilio increase his writing speed without sacrificing legibility. Speed writing involves using abbreviations, symbols, and shortcuts to represent words or phrases, allowing for faster transcription of thoughts onto paper.
Shorthand systems, such as Gregg shorthand or Pitman shorthand, provide structured methods for condensing words and phrases into simplified symbols.
By learning and practicing speed writing or shorthand techniques, Emilio can improve his writing efficiency and reduce the time it takes to write a few sentences. This strategy allows him to maintain neatness while increasing his writing speed, enabling him to express his thoughts more fluently.
With regular practice and familiarity, Emilio will become more comfortable with the shorthand system and experience a significant improvement in his writing speed and fluency.
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A rectangular field has these measurements kim walks around the edge of the field. she walks less than 1km. form and solve an equality to find the possible values of t
The inequality equation for the measurements of the rectangular field must satisfy t<225.
What is an inequality ?If two real numbers or the algebraic expressions are related by the symbols “>”, “<”, “≥”, “≤”, then the relation is called an inequality.
The length of the rectangle is 2t meters
the breadth of the rectangle is 50 meters
The perimeter of the rectangle is given by 2×(length+breadth)
Here the perimeter of rectangle is less than 1km=1000meter
Forming an equation with the given data
2×(2t+50)<1000
2t+50<\(\frac{1000}{2}\)
2t+50<500
2t<500-50
2t<450
t<\(\frac{450}{2}\)
t<225
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The correct question is "A rectangular field has these measurements kim walks around the edge of the field. she walks less than 1km. form and solve an equality to find the possible values of t when length of the field is 2t meters and breadth is 50 meters"
Find the least integer greater than each number. Do not use a calculator.
log₅1/47
The least integer greater than each number for log₅1/47 = -3
All whole numbers and negative numbers are considered integers. This means that if we combine negative numbers with whole numbers, a collection of integers results.
Let y = log₅1/47
We know, logₐ x = y, only if a^y= x
Therefore, 5^y = 1/47
So, we must find an integer y such that 5 > 1/47
5^y > 1/47
5^{-3} > 1/47
(As, 5² = 25; 5³ = 125) (Since, 5² < 47, the answer will be 5³ as 5³ > 47)In this case, y = -3 will be the least integer to satisfy this inequality.
Therefore, the ultimate answer to the equation is log₅1/47 = -3
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Evaluate each expression.
5. 3d + 4(d – 1), given d= 7
How do you solve this expression?
Step-by-step explanation:
3d + 4(d-1) ; d=7
Plug in 7 for d.
3(7) + 4(7-1)
Then multiply and distribute.
21 + 28 - 4
Add like terms.
21 + 24
Add like terms.
45
Hope this is what you were asking for :)
Answer:
Step-by-step explanation:
3d + 4(d – 1)
=3(7) + 4(7 – 1)
=21 + 28 – 4
=21 + 24
=55
which shows the expression in the order they would appear on a number line from least to greatest? please help fast
what is the answer to this
12b−15>21
Answer:
b > 3
Step-by-step explanation:
\(12b-15>21\\\\12b-15+15>21+15\\\\12b>36\\\\\frac{12b>36}{12}\\\\\boxed{b>3}\)
Hope this helps.
two cards are selected in a sequence from a standard deck. what is the probability that the second card is a jack given that the first card was a 2. (assume the 2 was not replaced.)
The probability that the second card is a jack given that the first card was a 2 is 52/51.
To calculate the probability that the second card is a jack given that the first card was a 2, we need to consider the remaining cards in the deck after the first card is drawn.
When the first card is drawn and it is a 2, there are 51 cards remaining in the deck, out of which there are 4 jacks.
The probability of drawing a jack as the second card, given that the first card was a 2, can be calculated using conditional probability:
P(Second card is a jack | First card is a 2) = P(Second card is a jack and First card is a 2) / P(First card is a 2)
Since the first card is already known to be a 2, the probability of the second card being a jack and the first card being a 2 is simply the probability of drawing a jack from the remaining 51 cards, which is 4/51.
The probability of the first card being a 2 is simply the probability of drawing a 2 from the initial deck, which is 4/52.
P(Second card is a jack | First card is a 2) = (4/51) / (4/52)
Simplifying the expression:
P(Second card is a jack | First card is a 2) = (4/51) * (52/4)
P(Second card is a jack | First card is a 2) = 52/51
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Solve this equation
1 . B/-7 = 4
Step-by-step explanation:
B/-7 = 4
Cross multiple
-7×4 = B
-28 = B
Answer:
-28
Step-by-step explanation:
First, multiply 4*-7= -28.
You're done. B=-28
Hope this helps!
The union of events A and B, denoted by A∪B, ____________.
A. contains all outcomes of an experiment
B. contains all outcomes that are in A or B
C. consists only of outcomes that are in A and B
D. contains no outcomes that are in A and B
The union of events A and B, denoted by A∪B, contains all outcomes that are in A or B. Option B
In probability theory, events A and B represent sets of outcomes from a given experiment or sample space. The union of two events A and B is the set of all outcomes that belong to either A or B or both. It is formed by combining the elements from both sets without repetition.
Mathematically, the union of events A and B is defined as:
A∪B = {x : x ∈ A or x ∈ B}
This means that any outcome x that is in event A or event B (or both) will be included in the union of A and B.
To illustrate this concept, consider the following example:
Event A: Rolling an even number on a fair six-sided die
A = {2, 4, 6}
Event B: Rolling a number greater than 4 on a fair six-sided die
B = {5, 6}
The union of A and B, denoted by A∪B, will contain all outcomes that are in A or B:
A∪B = {2, 4, 5, 6}
Therefore, option B is the correct choice. The union of events A and B contains all outcomes that are in A or B.
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If 7x – 7 = -21 then 12x=____?
Which is an integer
Answer:
6.2 is an integer
Step-by-step explanation:
Answer
6.2
Step-by-step explanation:
Which statements can be used to compare the functions? Select two options. Only f(x) has an x-intercept. g(x) has the greatest maximum. All three functions have a y-intercept. All three functions have the same range values. All three functions have the same domain values.
Answer:
Only f(x) has an x-intercept.
All three functions have the same domain values.
Step-by-step explanation:
Given
See attachment for table
Required
Select two correct options
Checking the domain:
The x values represent the domain.
From the attached table, we have:
\(x = \{-4.-3,-2,-1,1\}\)
These values of x apply to the three functions; f(x), g(x) and h(x).
This means that the functions have the same domain
Checking the greatest maximum
The maximum of each function is:
\(f(x) = 1\)
\(g(x) = -4\)
\(h(x) = 2\)
Compare these three values, we have:
\(h(x) > f(x) > g(x)\)
This means that h(x) has the greatest maximum
Checking the x intercept
When a function equals 0, then it has an x intercept
Of the three functions, we have:
\(f(-3) = 0\) --- This represents the x intercept.
Other functions do not have this value.
This means that only f(x) has an x intercept
Answer:
Only f(x) has an x-intercept.
All three functions have the same domain values.
or A and E on edg
Step-by-step explanation:
Three students ran for class president. lisa got 36 votes for class president. she got six times more votes than lauren. chandler got seven times more than lauren. how many votes did lauren get?
Lauren got 5 votes in class president election.
Number of votes Lisa got = 36
Let the number of votes of Lauren be x. So, forming the equation between the number of votes of Lisa and Lauren.
36 = x + 6x
Calculating the value of x from mentioned equation
36 = 7x
Rewriting the equation with 7 as denominator
x = 36/7
Performing division on Right Hand Side of the equation
x = 5.14
Rounding off the digits as number of votes will be whole number
x = 5
Based on the mentioned information, Lauren got 5 votes.
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A sample of the students at a middle school is selected by writing the
name of every student in the school on a slip of paper and putting all the
names into a bin. The bin is then rotated to mix the slips of paper and 25
names are drawn without looking. If the bin is rotated after every draw,
which kind of sampling method is this?
OA) Non-random sampling
OB) Simple random sampling
OC) Stratified rondom sampling
OD Systematic random sampling
Answer:
B.
Step-by-step explanation:
Answer:
YO THE PICTURE DIFFRENT
Step-by-step explanation:
pls help need to turn this in
Answer: y - 3 = -2(x + 2)
The integral of [(x^2)(y^2)dx + x y dy] where C consists of the arc of the parabola y = x^2 from (0,0) to (1,1) and the line segments from (1,1) to (0,1) using line integral and Green theorem please
The line integral ∫[C] (Pdx + Qdy) over the given curve C consisting of the arc of the parabola y = x² from (0,0) to (1, 1), and the line segment from (1,1) to (0,1) is equal to 2/5.
What is integral?
The value obtained after integrating or adding the terms of a function that is divided into an infinite number of terms is generally referred to as an integral value.
To evaluate the line integral using Green's theorem, we need to find a vector field F = (P, Q) such that ∇ × F = Qₓ - Pᵧ, where Qₓ represents the partial derivative of Q with respect to x, and Pᵧ represents the partial derivative of P with respect to y.
Let's consider F = (P, Q) = (x²y², xy).
Now, let's calculate the partial derivatives:
Qₓ = ∂Q/∂x = ∂(xy)/∂x = y
Pᵧ = ∂P/∂y = ∂(x²y²)/∂y = 2x²y
The curl of F is given by ∇ × F = Qₓ - Pᵧ = y - 2x²y = (1 - 2x²)y.
Now, let's find the line integral using Green's theorem:
∫[C] (Pdx + Qdy) = ∫∫[R] (1 - 2x²)y dA,
where [R] represents the region enclosed by the curve C.
To evaluate the line integral, we need to parameterize the curve C.
The arc of the parabola y = x² from (0, 0) to (1, 1) can be parameterized as r(t) = (t, t²) for t ∈ [0, 1].
The line segment from (1, 1) to (0, 1) can be parameterized as r(t) = (1 - t, 1) for t ∈ [0, 1].
Using these parameterizations, the region R is bounded by the curves r(t) = (t, t²) and r(t) = (1 - t, 1).
Now, let's calculate the line integral:
∫∫[R] (1 - 2x²)y dA = ∫[0,1] ∫[t²,1] (1 - 2t²)y dy dx + ∫[0,1] ∫[0,t²] (1 - 2t²)y dy dx.
Integrating with respect to y first:
∫[0,1] [(1 - 2t²)(1 - t²) - (1 - 2t²)t²] dt.
Simplifying:
∫[0,1] [1 - 3t² + 2t⁴] dt.
Integrating with respect to t:
[t - t³ + (2/5)t⁵]_[0,1] = 1 - 1 + (2/5) = 2/5.
Therefore, the line integral ∫[C] (Pdx + Qdy) over the given curve C consisting of the arc of the parabola y = x² from (0,0) to (1,1), and the line segment from (1,1) to (0,1) is equal to 2/5.
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based on data from a statistical abstract, only about 17% of senior citizens (65 years old or older) get the flu each year. however, about 23% of the people under 65 years old get the flu each year. in the general population, there are 10% senior citizens (65 years old or older). (round your answers to three decimal places.) (a) what is the probability that a person selected at random from the general population is senior citizen who will get the flu this season? (b) what is the probability that a person selected at random from the general population is a person under age 65 who will get the flu this year? (c) repeat parts (a) and (b) for a community that has 91% senior citizens. (a) (b) (d) repeat parts (a) and (b) for a community that has 52% senior citizens. (a) (b) g
A) The probability that a person selected at random from the general population is senior citizen who will get the flu this season is 0.017.
B) The probability that a person selected at random from the general population is a person under age 65 who will get the flu this year is 0.207.
C) a) 0.1547 community has 91% senior citizens.
b) 0.0207 community has 91% senior citizens.
D) a) 0.0884 community has 52% senior citizens.
b) 0.1104 community has 52% senior citizens.
Probability:Probability is a measure of the uncertainty of various phenomena. For example, if you roll a die, the possible outcomes are defined by probabilities. This distribution can be defined using random experiments with uncertain or unpredictable outcomes.
A) (a) The probability that a person selected at random from the general population is senior citizen who will get the flu this season is
0.10 x 0.17 = 0.017
(b) The probability that a person selected randomly from the general population is a person under age 65 who will get the flu this year is
(1 - 0.10) x 0.23 = 0.9 x 0.23 = 0.207
(c) (a) 0.91 x 0.17 = 0.1547
(b) (1 - 0.91) x 0.23 = 0.09 x 0.23 = 0.0207
Therefore, 91% senior citizens has 0.1547 flu
and b) 0.0207 senior citizens are there.
(d) (a) 0.52 x 0.17 = 0.0884
(b) (1 - 0.52) x 0.23 = 0.48 x 0.23 = 0.1104
Therefore, 52% senior citizens has 0.0884 probability of getting flu.
b) 0.1104 community has flu.
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There are y narts to this question. Yiu war be anked to movide fint 1 answer in each part. In our dataset we obsenve thiee variables that we strangly befieve do not have a relabonhip with wages, but that are correlated with the endoeenour variable riciuct. These variables mee dixt, which denotes the distance between the wroticer's viliage and the closest school, wralh yofene. Which is a dummin variable that takes the value of 1 if the worker regularly brushes hiv/her teeth ithe eovemment provides a free toothbrunh to each citizen and we believe that more educated people tend to brush their teeth more offen, and library, which is a dummy variable that takes the value of 1 if the worker has access to a library in his/her viliage. We estimafe our regression model using TSIS We want to test if our instruments satisfy the relevance requirement. In the 1 st stage of TSLS we estimate the following equation: edue =π0+π1 diat +π2 aralhygiene +π1 hitrary +π4 erper +NH What is the null hypothesis to test for instruments' relevance? A) H0:π1=π2=π3=π4=0. B) H0:π1=π2=π3=0. C) H0:π2=π3=π4=0. D) H0:π2=0 or π3=0 or π4=0. E) HD:π1=0 or π2=0 or π3=0. F) H0:π1=0 or π2=0 or π3=0 or π4=0. Answer:
The null hypothesis to test for instruments' relevance is option D) H0:π2=0 or π3=0 or π4=0.In order to test the relevance of the instrument, the first stage equation's null hypothesis should be stated as: H0: π2 = 0 or π3 = 0 or π4 = 0.The relevance requirement will be fulfilled if we can refute the null hypothesis.
The null hypothesis will not be rejected if the F-statistic is less than 10.0. However, if the F-statistic is greater than 10.0, the null hypothesis will be rejected, indicating that the variables are relevant and that the instrument satisfies the relevance requirement.In summary, to test for instruments' relevance in TSLS, the null hypothesis of the first stage equation is stated as H0: π2 = 0 or π3 = 0 or π4 = 0.
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an automobile manufacturer has given its van a 28.3 miles/gallon (mpg) rating. an independent testing firm has been contracted to test the actual mpg for this van since it is believed that the van has an incorrect manufacturer's mpg rating. after testing 200 vans, they found a mean mpg of 28.0 . assume the population standard deviation is known to be 2.6 . is there sufficient evidence at the 0.01 level to support the testing firm's claim? step 2 of 6 : find the value of the test statistic. round your answer to two decimal places.
For a sample of rating of an automobile manufacturer's van regarding rating of 28.3 miles/gallon (mpg), the Z-test statistic value is equals to the -1.631.
Z-test is a parametric test. When the sample size is sufficiently large, it is mostly used. This test statistic is computed a standard normal distribution. It is then compared with the critical value (obtained from z-table). If the test statistic value is greater than it, there is evidence to reject the null hypothesis. We have an automobile manufacturer with its van rating. A sample of 200 vans is randomly considered. Sample size, n = 200
Mean of rating = 28
Standard deviations = 2.6
Lavel of significance= 0.01
To test the firm'claim we have to consider hypothesis testing here. Since it is claimed by an automobile manufacturer that its car has a 28.3 miles/gallon (MPG) rating, therefore, the null hypothesis and alternative can be stated as:
\(H_0 :μ = 28.3\)
\(H_a :μ≠28.3\)
Now, to determine the value of the test statistic, consider the Z-test : \( z = \dfrac{{M - \mu }}{{\dfrac{\sigma }{{\sqrt n }}}}\)
where, M -> mean
n --> sample size
Substitute all known values in above formula, \(= \dfrac{{28 - 28.3}}{{\dfrac{{2.6 }}{{\sqrt {200} }}}}\\\)
\(= \dfrac{{-0.3}}{{\dfrac{{0.26 }}{{\sqrt {2} }}}}\\\)
=> z = - 1.631
Hence, required test statistic value is -1.631.
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What is the value of the coefficient of the x² term when the expression (3.5x2-5+2x) is multiplied by (-5x -0.75) ?
The coefficient of the x² term is
If the value of the coefficient of the x² term when the expression (3.5x²-5+2x) is multiplied by (-5x -0.75) . The coefficient of the x² term is -2.625.
What is coefficient ?When multiplying (3.5x² - 5 + 2x) by (-5x - 0.75), we need to discover the product of the parts that contain x² in order to determine the coefficient of the x² term.
Now let write out the product of the two polynomials:
(3.5x² - 5 + 2x) × (-5x - 0.75)
= -17.5x³ - 2.625x² + 25x + 3.75
So,
The x² term's coefficient which is -2.625 is the coefficient of the term that contains x².
Therefore the coefficient is -2.625.
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Suppose m is the midpoint of segment fg. use the given information to find the missing measure or value. fm= 8a+1, fg=42, a=?
The missing value of "a" is 2.5.
To find the value of "a", we can use the fact that "m" is the midpoint of segment "fg".
Given that "fm" = 8a + 1 and "fg" = 42, we can set up the equation:
fm = fg / 2
Substituting the given values, we get:
8a + 1 = 42 / 2
Simplifying the right side of the equation, we have:
8a + 1 = 21
To isolate "a", we can subtract 1 from both sides:
8a = 21 - 1
8a = 20
Now, we can solve for "a" by dividing both sides by 8:
a = 20 / 8
a = 2.5
Therefore, the missing value of "a" is 2.5.
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will give brainliest
Answer:
BET
Step-by-step explanation:
70, GIVE ME BRAINLIESt
Answer:
12.2 yards
Step-by-step explanation:
pyhtarogem therom A^2 +b^2=c^2 a=36 c=38 so 38^2-36^2=12.2^2
T/FThe area of descriptive statistics was developed to provide further detail to statisticians about population inferences.
Descriptive statistics is a branch of statistics that deals with the collection, analysis, interpretation, and presentation of data. It focuses on summarizing and describing the characteristics of a sample or population. The purpose of descriptive statistics is to provide a clear and concise summary of the data, including measures of central tendency, variability, and distribution.
True,This information can be used to make inferences about the population as a whole. Therefore, descriptive statistics helps statisticians to better understand and interpret the population data.
False, Descriptive statistics is a branch of statistics that focuses on summarizing and organizing data from a sample or population. It provides insights into the basic features of the data, such as the mean, median, and standard deviation, but does not make inferences about the population.
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Pat found the sum of the first 2021 positive even integers and Ray found the sum of the first 2022 positive even integers. By how much does Ray's sum exceed Pat's sum
The sum of the first 2021 positive even integers is (2021 x 2022). Therefore, Ray's sum exceeds Pat's sum by 2052.
The sum of the first 2021 positive even integers is given by 2+4+6+...+4040. To find this sum, we can use the formula for the sum of an arithmetic series:
S = (n/2)(a + l)
where S is the sum of the series, n is the number of terms, a is the first term, and l is the last term. In this case, n = 2021, a = 2, and l = 4040 (which is the 2021st even integer). So we have:
S = (2021/2)(2 + 4040)
= 2041210
Therefore, Pat's sum is 2041210.
The sum of the first 2022 positive even integers is given by 2+4+6+...+4042. Using the same formula as above, we have:
S = (2022/2)(2 + 4042)
= 2043262
Therefore, Ray's sum is 2043262.
To find by how much Ray's sum exceeds Pat's sum, we can subtract Pat's sum from Ray's sum:
2043262 - 2041210 = 2052
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What number if doubled gives ninety-eight?
Answer:
49
Step-by-step explanation:
Answer:
98/2=49
Hence, 49 is doubled to get 98.
Step-by-step explanation:
Graph the system of equations. y = 2x y = –x + 6 Two lines on a coordinate plane that intersect at the point 2 comma 4. One line has y intercept 0 and the other has y intercept 6. Two lines on a coordinate plane that intersect at the point negative 2 comma negative 4. One line has y intercept 0 and the other has y intercept negative 6. Two lines on a coordinate plane that intersect at the point 1 comma 2. One line has y intercept 0 and the other has y intercept 3. Two lines on a coordinate plane that intersect at the point 3 comma 3. One line has y intercept 0 and the other has y intercept 6.
The solution to the systems of equations graphically is (2, 4)
Solving the systems of equations graphicallyFrom the question, we have the following parameters that can be used in our computation:
y = 2x
y = -x + 6
Next, we plot the graph of the system of the equations
See attachment for the graph
From the graph, we have solution to the system to be the point of intersection of the lines
This points are located at (2, 4)
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Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
if all multiples of 4 and all multiples of 5 are removed from the set of integers from 1 through 100, how many integers remain?
Total 56, integers are remained if all multiples of 4 and all multiples of 5 are removed from the set of integers from 1 through 100.
We have given that,
from the set of first 100 integers numbers, all the multiples of 5 and 4 are removed.
According to the question,
The multiples of 4 upto 100,
S = { 4, 8, 12......, 96}
it is an Arithmetic progression sequence with
a = 4 , l = 96 , d = 4
using an = a + (n-1)d where
n --> number of terms in sequence
d ---> common difference between two consecutive terms
a ---> first term
=> 96 = 4 + (n-1)4
=> (n-1) = 92/4
=> n = 23 + 1 = 24
Total multiples of 4 upto 100 is 24 .
Now, multiples of 5 upto 100
Q = { 5, 10, 15, ....,100}
Similarly as for above case
a = 5 , d = 5 , l = 100
=> 100 = 5 + (n-1)5
=> (n-1)5 = 95
=> n-1 = 19
=> n = 20
Total multiples of 5 upto 100 is 20.
Remained integers upto 100 = 100 - 20 -24
= 56
Hence, the required number of integers are 56.
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PLEASEEE HELP! I at least need someone to explain this to me
Answer:
i think 5
Step-by-step explanation:
because its 120 degree on the top so i think its 5 and if i'm wrong than sorry