Answer: 80 degrees because a line is 180°.
So if you subtract
180 - 100 = 80°
Answer:
x=80°
Step-by-step explanation:
The measures of angle x and the 100° angle form a straight angle.
This straight angle is 180°.
You can subtract the measure of one angle from the whole to find the measure of the other angle.
180°-100°=80°
This means angle x is 80°.
HELP PLS
18-8×2+10= ?
.
In Alaska, the temperature is currently -14°F, and in Mt. Olive it is currently 67°F.
What is the difference in temperature between Alaska and Mt. Olive?
And please explain
Answer:
81
Step-by-step explanation:
it is asking only for the difference nothing else so do
14+67 because the value is in the - we use addition for this scenario if it's for example
difference between 10f and 50f you minus it
10-50 = 40
determine whether the random variable x is discrete or continuous. explain. let x represent the amount of rain that fell in spring
The random variable x, which represents the amount of rain (in inches) that fell this spring, is a continuous random variable.
In this context, a continuous random variable is one that can take on any value within a certain range. The amount of rain can be measured with different levels of precision, such as 2.5 inches or 2.5342 inches, indicating that there is an infinite number of possible values between any two given points.
On the other hand, a discrete random variable would involve countable outcomes or a finite number of possible values. For example, if we were counting the number of rainy days during the spring, the random variable would be discrete since it can only take whole number values.
In the case of measuring the amount of rain, there can be infinitely many possible values within any given range, and therefore, it is considered a continuous random variable. So, the correct answer is option A.
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The complete question is:
Decide whether the random variable x is discrete or continuous. Explain your reasoning Let x represent the amount of rain (in inches) that fell this spring. Is the random variable x discrete or continuous? Choose the correct answer below.
A. Continuous, because x is a random variable that cannot be counted.
B. Discrete, because x is a random variable that can be counted.
Simplify The Following
Answer:
(x+3) (x+4)/2x
Step-by-step explanation:
Choose the option that best completes the sentence.
The amount of time it takes to finish a race might be a function of:
A. the length of the race.
B. the entry fee for the race.
C. the color of the race T-shirt.
D. the number of people watching the race on TV.
The amount of time it takes to finish a race might be a function of: A. the length of the race.
How to find the relationship between distance and time?
We know that formula for distance is;
Distance = Speed * time
Now, we can see clearly that distance covered is directly proportional to the time taken. Thus, the longer the distance, the more the time taken to finish the race.
Thus, we can conclude that the amount of time it takes to finish a race might be a function of:
A. the length of the race.
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Which of the following distribution represents a probability distribution?
Answer:
Step-by-step explanation:
C !
If M is between G and T, MG = 2x + 1, MT = 3x + 3, and GT = 19, Then X = ___.MG = ___.MT = __.
We are given the following information
M is between G and T
MG = 2x + 1
MT = 3x + 3
GT = 19
Let us draw a sketch to better understand the problem
As you can see, the sum of MG and MT must be equal to the GT
Mathematically,
\(\begin{gathered} GT=MG+MT \\ 19=(2x+1)+(3x+3) \end{gathered}\)Let us solve the above equation or x
\(\begin{gathered} 19=2x+1+3x+3 \\ 19=2x+3x+1+3 \\ 19=5x+4 \\ 19-4=5x \\ 15=5x \\ \frac{15}{5}=x \\ 3=x \\ x=3 \end{gathered}\)So, the value of x is 3
\(\begin{gathered} MG=2x+1 \\ MG=2(3)+1 \\ MG=6+1 \\ MG=7 \end{gathered}\)\(\begin{gathered} MT=3x+3 \\ MT=3(3)+3 \\ MT=9+3 \\ MT=12 \end{gathered}\)Therefore, the required values are
x = 3
MG = 7
MT = 12
The recommended dosage of some drug is 20 grams of the drug for every 100
kg a person weighs. How much of the drug should be administered to a 70 kg woman?
Answer:
14 grams
Step-by-step explanation:
20/100=x/70
70 * 20/100=x
14=x
What is the value of x
Answer:4,24
Step-by-step explanation:
2(4x+x)=60
10x=60
x=6
4*6=24
Answer:
Step-by-step explanation:
Perimeter of a rectangle = 2 ( l + b ) = 60
here,
l = 4x
b = x
so,
2 ( l + b ) = 60
2 ( 4x + x ) = 60
2 ( 5x ) = 60
5x = 60 / 2
5x = 30
x = 30 / 5
x = 6
so l = 4x = 4 × 6 = 24
b = x = 6
you can also recheck it by
2 ( l + b )
2 ( 24 + 6 )
= 2 × 30
= 60
Which is equal to the perimeter.
Hope this helps
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If f(x)=2(x)+3=5 what is f(-2)
As a result, f(-2) has a value of -1 by simply substituting the value of x in the function. as Each function is given a domain and a codomain, often known as a scope.
what is function ?Math deals with numbers with their variants, formulae and adjacent tissues, structures and associated locations, and areas where they might be found. The term "function" refers to the connection between a series of inputs, of which each has a corresponding output. A function is a connection between the inputs and outputs where each input result in a single, unique output. A domain as well as a codomain, or scope, are allocated to each function. Functions are generally symbolized by the letter f. (x). The input is an x. On functions, another functions, many-to-one functions, within operations, and on functions are the four main types of functions that are available.
given
f(x)=2(x)+3=5
= f(-2) = 2(-2) + 3 = 5
= -4 + 3
= -1
As a result, f(-2) has a value of -1 by simply substituting the value of x in the function. as Each function is given a domain and a codomain, often known as a scope.
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Which graph shows a negative acceleration?
Answer:
Second Graph.
Explanation:
It's the only graph that is concave down and the slope is decreasing.
can someone help me with these answers please
since we were given the key ( how it should be sort out or used )
then we get all the numbers out which are:
21, 23, 30, 32, 32, 35, 43, 44, 46, 48, 49, 49, 50, 52, 52, 53, 55
then we go ahead to answer the questions:
a) Range = highest number minus Lowest number
55 - 21 = 34
b) 17 (by counting all individual ages ).
c) Median = the middle age
(but before that, we must arrange the ages either a cording to their sizes either from biggest to smallest (descending order) or from smallest to biggest (ascending order)
so we arrange in ascending order but the numbers are already arranged so we don't have to stress ourselves:
Median = 46 (the number in the middle ).
Hope you ace your tests, Good luck ✅.
Complete the table for the given rule.
Rule: y = 6x-4
Please help
y = 6x - 4
Substitute the given x values to solve for y.
x = 1:
y = 6(1) - 4
y = 6 - 4
y = 2
1 = 2
x = 3:
y = 6(3) - 4
y = 18 - 4
y = 14
3 = 14
x = 10:
y = 6(10) - 4
y = 60 - 4
y = 56
10 = 56
x y
1 2
3 14
10 56
if a function has a verticale asymptote at a certain x-value, then the function is at the value
Answer:
We conclude that If a function has a vertical asymptote at a certain x-value, then the function is undefined at the value.
Step-by-step explanation:
If a function has a vertical asymptote at a certain x-value, then the function is undefined at the value.
For example, let the function
\(f\left(x\right)\:=\frac{x+3}{x-3}\)
It is clear that the given function becomes undefined at x = 3 in the denominator.
i.e. 3-3 = 0
It means, the function can not have x = 3, otherwise, the function will become undefined.
In other words, if the function has a vertical asymptote at x = 3, then the function is undefined at the value.
Therefore, we conclude that If a function has a vertical asymptote at a certain x-value, then the function is undefined at the value.
A bike rider is traveling at a speed of 15 feet per second. Write an expression for the distance the rider has traveled after s seconds. Make a table that records the distance for 3.0, 5.8, 11.1, and 14.0 seconds
distance = speed x time
distance time
45 ft 3.0 s
87 ft 5.8 s
166.5 ft 11.1 s
210 ft 14.0 s
(x+a)^2 -7 = x^2 +10x +b
Work out the value of a and b.
Answer:
(x+a)²-7=x²+10x+b
simplifying,we get
x²+2ax+a²-7=x²+10x+b
the coefficient of x on both sides should be equal
therefore
2a=10
a=10/2=5
also for b
a²-7=b
5²-7=25-7=b
b=18
a=5
Factor the expression below.
x2 + 18x + 81
The Answer is (x+9)^2
Answer:
-81/20
Step-by-step explanation:
The following box plot represents the average heights of the students in Mr. Taylor's fourth grade math class.
1) In this question, we need to remember that in any boxplot the line in the middle of the box indicates the median.
Based on that, we can tell the Median is 140
2) In the Interquartile Range, we need to find the range between the lower quartile and the upper one, based on that boxplot. We can tell the IQR is:
\(IQR=Q_3-Q_1\Rightarrow141-138=3\)Note that the boundaries of the box show us the lower and the upper quartile:
In 2012, the population of a city was 6.47 million. the exponential growth rate was 2.91% per year.
The population of the city after 5 years is approximately 7.94 million.
How to find the population of the city?Assuming that the population of the city grows exponentially, we can use the formula:
P(t) = \(P0 * e^(^r^t^)\)
Where:
- P(t) is the population after time t
- P0 is the initial population
- r is the annual growth rate expressed as a decimal
- t is the time elapsed in years
Using the given information:
- P0 = 6.47 million
- r = 2.91% = 0.0291
Let's calculate the population after 1 year:
\(P(1) = 6.47 million * e^(^0^.^0^2^9^1 ^* ^1^)\)
= 6.66 million (rounded to two decimal places)
So, the population of the city after one year is approximately 6.66 million.
We can also calculate the population after 5 years:
\(P(5) = 6.47 million * e^(^0^.^0^2^9^1 ^* ^5^)\)
= 7.94 million (rounded to two decimal places)
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Use the data in exercise 5.43 for this problem. Note: Your answers to each of these questions should not be the same.
a.) Find the probability that a randomly selected person did not have a child under 18 years old, given that they said no.
b.) Find the probability that a randomly selected person said No, given that the person did not have a child under 18 years old.
c.) Find the probability that a randomly selected person from the group did not have a child under 18 years old and said no.
Using probability,
a) 61/100
b) 61/210
c) 305/536
Define probability?The probability formula can be used to calculate the likelihood of an event by simply dividing the favourable number of possibilities by the total number of options.
The likelihood of an event occurring can range from 0 to 1, as there can never be more favourable outcomes than there are potential outcomes. Because of this, the percentage of effective outcomes cannot be 0.
Here in the question,
It has asked to find probability that a randomly selected person did not have a child under 18 years old, given that they said no is:
P = 305/500
= 61/100
It is asked to find probability that a randomly selected person said No, given that the person did not have a child under 18 years old is:
P = 305/1050
= 61/210
It is asked to find probability that a randomly selected person from the group did not have a child under 18 years old and said no is:
P = 305/536
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___ could be used to solve the problems caused by the electoral college.
One possible solution that could be used to address the problems caused by the Electoral College is "electoral reform."
Popular Vote: One approach is to replace the Electoral College with a system where the President is directly elected by a popular vote. This would eliminate the possibility of a candidate winning the presidency while losing the popular vote, as has happened in some elections.
Proportional Representation: Another option is to implement a proportional representation system, where the allocation of electors is based on the percentage of votes a candidate or party receives in each state. This would ensure a more proportional representation of voters' preferences and reduce the influence of winner-takes-all mechanisms.
National Popular Vote Interstate Compact: This reform proposal aims to work within the existing Electoral College framework. States that join the compact agree to allocate their electoral votes to the winner of the national popular vote, effectively ensuring that the candidate who receives the most votes nationwide becomes the President.
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Add one set of parentheses to the equation
So that it is equivalent to 2(7x + 18)
A 7-column table with 2 rows. Column 1 is labeled Sample with entries catfish, all fish. Column 2 is labeled 1 with entries 3, 20. Column 3 is labeled 2 with entries 5, 20. Column 4 is labeled 3 with entries 7, 20. Column 5 is labeled 4 with entries 5, 20. Column 6 is labeled 5 with entries 6, 20. Column 7 is labeled 6 with entries 8, 20. The mean number of catfish in all 6 samples is approximately 5.7. If 200 fish are in the pond, which proportion can be used to predict the number of catfish in the population? StartFraction 5.7 over 20 EndFraction = StartFraction x over 200 EndFraction StartFraction 5.7 over 20 EndFraction = StartFraction 200 over x EndFraction StartFraction 34 over 20 EndFraction = StartFraction x over 200 EndFraction StartFraction 8 over 20 EndFraction = StartFraction 20 over x EndFraction
Answer: The correct option is 5.7/20 = x/200
Step-by-step explanation: Please refer to the diagram attached for more details.
From the 7-column by 2-row table drawn, you can determine that the mean number of catfish as given in the question is derived as follows;
Mean = Summation of observed data / Number of observations
Mean = (3 + 5 + 7 + 5 + 6 + 8)/6
Mean = 34/6
Mean = 5.6667
Mean ≈ 5.7
Also the mean number of all fish is derived as follows;
Mean = Summation of observed data / Number of observations
Mean = (20 + 20 + 20 + 20 + 20 + 20)/6
Mean = 120/6
Mean = 20
Using relative frequency, we can confidently predict the number of catfish population in the pond. This simply means, if the mean number of catfish is 5.7 and the mean number of all fish is 20, then the relative frequency would be 5.7 over 20 of the total fish population.
Hence, if there is a total of 200 fish in the pond then to predict the proportion which would be catfish can be expressed as follows;
StartFraction 5.7 over 20 EndFraction = StartFraction x over 200 EndFraction.
OR better expressed as;
5.7/20 = x/200
Answer:
5.7/20 = x/200
Step-by-step explanation:
Evaluate 3/4 x 4 *
help i mark you Brainiest!!!!
Can someone help me with this
Answer: f(x)=90
Step-by-step explanation:
f(x)=-(-9)^2-(9) substitute -9 for x
f(x)=9^2+9 simplify negatives
f(x)=81+9 simplify exponents
f(x)=90 add
Which set of measurements makes it possible to draw a unique triangle?
A
two angle measures of 30° and 55
B
two side measures of 6 ft and 15 ft
two side measures of 15 ft and 10 ft, and a non-included angle measure of 25°
D
two angle measures of 35 and 50 and a non-included side measure of 7 ft
Answer: A = 40°, Angle B = 60° and Angle C = 80°. The angles sum to 180°, so at least one triangle may be drawn.
Step-by-step explanation: Did this help
PLS HELP ME
Function g is a transformation of function f.
The equation for function g(x) is given as follows:
g(x) = -3f(x).
How to define the function g(x)?The direction of the functions g(x) and f(x) are changed, that is, the function g(x) is a reflection over the x-axis of the function f(x), hence the equation is given as follows:
g(x) = -f(x).
(this is the first part of the transformation).
As for the second part of the transformation, we have that the values of the function g(x) have an absolute value that is triple the values of function f(x), meaning that it is a vertical stretch by a factor of 3, hence:
g(x) = -3f(x).
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Find the H.C.F of following expressions:2x²(x+2)(x-2)and4x(x+2)(x-4)
Given:
The given expressions are \(2x^2(x+2)(x-2)\) and \(4x(x+2)(x-4)\).
To find:
The H.C.F. of the given expressions.
Solution:
The two expressions are:
\(2x^2(x+2)(x-2)\)
\(4x(x+2)(x-4)\)
It is clear that 2x and (x+2) are the common factors. So, we need to multiply these common factors to get the H.C.F. of the given expressions.
\(H.C.F.=2x(x+2)\)
Therefore, the H.C.F of the given expressions is \(2x(x+2)\).
How many permutations of the three letters C, D, and E are possible? a 3 b 0 c 8 d 6
The number of possible permutations of the three letters C, D, and E is d.6
A permutation is an arrangement of objects in a specific order. In this case, we are looking at the number of possible arrangements of the three letters C, D, and E. To find the number of permutations, we can use the formula:
n! = n x (n-1) x (n-2) x ... x 3 x 2 x 1
where "n" is the number of distinct objects to be permuted.
So for our problem, we have three distinct objects (C, D, and E). Therefore, we can plug in n=3 to get:
3! = 3 x 2 x 1 = 6
This means there are 6 possible ways to arrange the letters C, D, and E in different orders. We can list all of these permutations as follows:
CDE
CED
DCE
DEC
ECD
EDC
So the answer to the question is 6, as given in option (d).
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fifteen students are competing for 4 rotary scholarships, 1 in england, 1 in germany, 1 in brazil, and 1 in japan. in how many ways can the scholarships be awarded to different students?
The number of different ways of distributing the scholarships is 32,760.
consider the situation: fifteen students are competing for 4 Rotary scholarships.
consider each scholarship is to be a position In which a student assigned.
This is a permutation problem as:
A) each student selected from the same set.
b) No students can be selected twice.
c) The order in which students are assigned to three scholarships.
Four students are assigned in 4 activities For scholarships.
Activity A1: select a student from the set of 15 students for giving away the first scholarship.
Activity A2: select a student from remaining 14 students for giving away the second scholarship.
Activity A3: select a student from remaining 13 students for giving away the third scholarship.
Activity A4: Select a student from remaining 12 students for giving away the forth scholarship.
According to multiplication rule of accounting the number of different arrangements is A1 X A2 X A3 X A4
15 X 14 X 13 X 12=32760
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