The statement (d) Alaric's maths grade is the response variable is correct because maths grade is a dependent variable.
What is an explanatory variable?It is defined as the variable which is independent. They show the expected results and the result is known as the response variable which is dependent on the explanatory variable.
We have given:
Alaric wants to determine if he can get a better grade in maths by studying for longer periods of time.
The duration of the experiment is 4 weeks which is known or constant.
But the number of hours she studied is a variable, and it is independent.
The maths grade is the dependent variable which is on the number of hours Alaric study variable.
Thus, the statement (d) Alaric's maths grade is the response variable is correct because maths grade is a dependent variable.
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Which of these is the algebraic expression for the verbal expression "twelve times the difference of a number and four?"
12 ⋅ x − 4
x − 4 ⋅ 12
4(x − 12)
12(x − 4)
Answer:
[tex]12(x - 4)[/tex]
Step-by-step explanation:
The question says, "twelve times the difference of a number and four"
Let's start with the first number, which is twelve = 12. Moving on, we have times = ×, then the difference which is minus(-). A number is unknown, any aphabet can be used to represent the number, so, we represent with 'x', and then four = 4.
Arranging them, we have:
[tex]12 \times x - 4[/tex]
in algebraic equations, times is always represented by bracket. Therefore, our final answer is:
[tex]12(x - 4)[/tex]
I hope this helps.
NEED THIS DONE ASAP!! Thank you!!
Answer:
150°
Step-by-step explanation:
A secant is a straight line that intersects a circle at two points.
The circle shows two secants RD and BD that intersect at one exterior point D, so we can use the Intersecting Secants Theorem to solve.
Intersecting Secants Theorem
If two secant segments are drawn to the circle from one exterior point, the measure of the angle formed by the two lines is half of the (positive) difference of the measures of the intercepted arcs.
[tex]\implies \angle RDB = \dfrac{1}{2}\left(\overset{\frown}{RB}-\overset{\frown}{EC}\right)[/tex]
[tex]\implies 5x-10=\dfrac{1}{2}(13x+7-60^{\circ})[/tex]
[tex]\implies 2(5x-10)=13x-53[/tex]
[tex]\implies 10x-20=13x-53[/tex]
[tex]\implies -3x=-33[/tex]
[tex]\implies x=11[/tex]
To find the measure of [tex]\overset{\frown}{RB}[/tex], substitute the found value of x into the expression for the arc:
[tex]\implies \overset{\frown}{RB}=13x+7[/tex]
[tex]\implies \overset{\frown}{RB}=13(11)+7[/tex]
[tex]\implies \overset{\frown}{RB}=143+7[/tex]
[tex]\implies \overset{\frown}{RB}=150^{\circ}[/tex]
Therefore, the measure of arc RB is 150°.
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4
Which are correct representations of the inequality 6x ≥ 3 + 4(2x - 1)? Select three options.
01 ≥ 2x
O
O
6x ≥ 3 + 8x - 4
-1.5
-1.5
0- -1.5
-1
-1
-1
-0.5
-0.5
-0.5
0
0
0
0.5
0.5
0.5
1
1
1.5
1.5
1.5
Answer:
6x > 3+4(2x -1)
6x > 3+ 8x - 4
6x > (-1) + 8x
6x - 6x > (-1) + 8x - 6x
subtracting 6x from both sides
0 > 2x - 1
adding +1 on both sides
1 > 2x
1/2 > x
x < 1/2
The correct representations of the inequality 6x ≥ 3 + 4(2x - 1) is,
⇒ x ≤ 1/2
What is mean by Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
We have to given that;
The inequality is,
⇒ 6x ≥ 3 + 4(2x - 1)
Now, We can simplify as;
⇒ 6x ≥ 3 + 4(2x - 1)
⇒ 6x ≥ 3 + 8x - 4
⇒ 6x ≥ 8x - 1
⇒ 1 ≥ 8x - 6x
⇒ 1 ≥ 2x
⇒ x ≤ 1/2
Thus, The correct representations of the inequality 6x ≥ 3 + 4(2x - 1) is,
⇒ x ≤ 1/2
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the answer to this question
From indices : when you have a fraction like 3⁶/5
we can also write it as (5√3)^6
and we were given (c√a )^b
meaning that anywhere the letters are, we put them as the numbers there.
therefore: a = 3 , b = 6 , c = 5
Hope this helps and you understood it.
you're super free to ask any more questions eh.
Good luck ✅.
Task
On April 15, 1912, the Titanic struck an iceberg and rapidly sank with
only 710 of her 2,204 passengers and crew surviving. Data on survival
of passengers are summarized in the table below. (Data source:
http://www.encyclopedia-titanica.org/titanic-statistics.html)
a.
First class passengers
Second class passengers
Third class passengers
Total passengers
Survived
201
118
181
500
Did not survive
123
166
528
817
Total
324
284
709
1317
a. Calculate the following probabilities round your answers to three decimal points
i. If one of the passengers is randomly selected what is the probability that this passenger survived
iii. If one of the passengers is randomly selected what is the probability that this passenger was in first class and survived
iv. If one of the passengers is randomly selected from the first class passengers what is the probability that this passenger survived
v. If one of the passengers who survived is randomly selected what is the probability that this passenger was in first class
vi. If one of the passengers who survived is randomly selected what is the probability that this passenger was in third class?
The probability that a random passenger survived is 0.38
The probability that this passenger was in first class and survived is 0.153
The probability that the passenger in the first class survived is 0.620
The probability that the passenger that survived was in first class is 0.402
The probability that the passenger that survived was in third class is 0.362
What are the probabilities ?The probability that a random passenger survived is 500 / 1317 = 0.38
The probability that this passenger was in first class and survived is 201 / 1317 = 0.153
The probability that the passenger in the first class survived is: 201 /324 = 0.620
The probability that the passenger that survived was in first class: 201/500 = 0.402
The probability that the passenger that survived was in third class is: 181 / 500 = 0.362
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Which expression is equivalent to √48x5, if x> 0?
A. 12x³√3x
B. 4x³√3
C. 4x²√3x
D. 12x²√
Answer:
C. 4x²√(3x)
Step-by-step explanation:
if x > 0
[tex]\sqrt{48x^{5}} =\sqrt{48} \times \sqrt{x^{5}}[/tex]
[tex]=\sqrt{16\times 3} \times \sqrt{x^{4}\times x}[/tex]
[tex]=\sqrt{16} \times \sqrt{3} \times \sqrt{x^{4}} \times \sqrt{x}[/tex]
[tex]=4\times \sqrt{3} \times \sqrt{\left( x^{2}\right)^{2} } \times \sqrt{x}[/tex]
[tex]=4\times \sqrt{3} \times x^{2}\times \sqrt{x}[/tex]
[tex]=4\times x^{2} \times \sqrt{3} \times \sqrt{x}[/tex]
[tex]=4\times x^{2}\times \sqrt{3x}[/tex]
What is the area of a circle with 20cm diameter
Answer:
area of the circle
area=7.54
The short leg of a 90-45-45 triangle is 3 and the long leg is 7. What is the hypotenuse?
The short leg of a 90-45-45 triangle is 3 and the long leg is 7. The hypotenuse would be [tex]c = \sqrt{58}[/tex].
What is the Pythagoras theorem?The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
The short leg of a 90-45-45 triangle is 3 and the long leg is 7.
Since this is a right triangle, we can use the Pythagoras theorem
a^2+b^2 = c^2
where a and b are the legs and c is the hypotenuse
[tex]3^2 + 7^2 = c^2\\\\9 + 49 = c^2\\\\58 = c^2\\\\c = \sqrt{58}[/tex]
Hence, The hypotenuse would be [tex]c = \sqrt{58}[/tex].
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Which of the following describes the behavior of the graph shown over the interval (-2,2)?
Hello!
We are trying to describe the behavior of the graph given in the question.
To help us understand how to solve this question, we would need to understand concavity.
There are two types of concavity:
Concave upConcave downWhen a graph is concave up, the slope of the line would look like a "U".
When a graph is concave down, the slope of the line would look like a "U" that is flipped upside down.
In this case, we can see that the graph is concave down.
We can tell that the slope is negative due to the fact that the slope is going down, which results in the graph having a negative slope.
We can also tell that the graph is decreasing due to the fact that the line is doing downward.
Answer:
C). negative and decreasing
The function f(x)= –StartRoot negative x EndRoot is shown on the graph.
The range of the required function f(x) = -√-x is all real values less than or equal to 0.
The nature of the function is imaginary because of the negative sign present inside the root. Hence the range of the function exists only and only if the function gives real values in each of its outcomes.
What are functions?Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent variable while Y is dependent variable.
As per question
f(x) = -√-x
clearly, for each positive real number the function becomes imaginary.
So the domain of the given function lies (-∞, 0).
and for every x in its domain function has its exists in range of all real values less than and equal to zero.
Thus, the range of the function f(x) ≤ 0.
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Bayes' rule combines accuracy, false positives, and _____ to determine the probability of a result.
The blank space in the task content should be filled with; false negatives.
What is Baye's rule?Baye's theorem can be used to correct measurement errors provided the real probabilities, the chance of a false positive and the chance of a false negative is known.
Hence, it follows from the methodology above that the Baye's rule combines accuracy, false positives and false negatives in a bid to determine the probability of a result.
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Alana, Brianna and Carla divided $171 between them in the ratio 4 colon 7 colon 8. How much did Brianna receive?
Answer:
$63
Step-by-step explanation:
Alana has 4 units of the $171.
Brianna has 7 units of the $171.
Carla has 8 units of the $171.
Total units = 4 + 7 + 8 = 19
19 units = $171
1 unit [tex]\frac{171}{19} \\= $9[/tex]
Brianna has 7 units, so she receives 7 x $9 = $63.
function F(x)=x+1 and g(x)=5x+1 find the f(4)=g(x+1)
The function of f(4) = g(x+1) gives the value of x that is -1/5.
What is the function addition?It is the addition of two functions similar to the addition of any two polynomial functions.
Given;
F(x)=x+1
g(x)=5x+1
We need to find f(4)=g(x+1)
First substitute x = 4 in f(x)
F(x)=x+1
F(4) = 4 + 1
F(4) = 5
Now substitute x = x + 1 in g(x)
g(x)=5x+1
g(x + 1) = 5(x + 1) + 1
g(x + 1) = 5(x + 1) + 1
g(x + 1) = 5x + 5 + 1
g(x + 1) = 5x + 6
Then ,
F(4) = g(x + 1)
5 = 5x + 6
5x = 5 - 6
5x = -1
x = -1/5.
The function of f(4) = g(x+1) gives the value of x that is -1/5.
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Answer please! I need this!
Step-by-step explanation:
The top has been multiplied by 5 so multiply the bottom by 5, 2 x 5 = 10. also why is there a pig lol
I need it now!!! pls
Answer:
To answer 5)
First we know that...
[tex]\frac{235}{360}[/tex] of the circle = 94 people
To find total people=
[tex]\frac{235}{360}[/tex]×x=94
x=144 people
To find the number of hokey players: 360-(235+90) =35
so, [tex]\frac{35}{360}[/tex]×144=14
So, 14 people are chose hockey
[tex] \bold{(10x - 6x³ + 8x²) - (5x² + 12x³ - 4)}[/tex]
Answer:
[tex]\boxed{\sf -18x^3+3x^2+10x+4}[/tex]
Explanation:
[tex]\rightarrow \sf (10x - 6x^3 + 8x^2) - (5x^2 + 12x^3 - 4)[/tex]
distribute
[tex]\rightarrow \sf 10x - 6x^3 + 8x^2 - 5x^2 - 12x^3 + 4[/tex]
collect terms
[tex]\rightarrow \sf -6x^3-12x^3+3x^2+10x+4[/tex]
add similar terms
[tex]\rightarrow \sf -18x^3+3x^2+10x+4[/tex]
Answer:
[tex]-18x^3+3x^2+10x+4[/tex]
Step-by-step explanation:
Given:
[tex](10x-6x^3+8x^2)-(5x^2+12x^3-4)[/tex]
Apply the rule (a) = a:
[tex]\implies 10x-6x^3+8x^2-(5x^2+12x^3-4)[/tex]
[tex]\textsf{Use the distributive law} \quad -(a+b)=-a-b:[/tex]
[tex]\implies 10x-6x^3+8x^2-5x^2-12x^3-(-4)[/tex]
Apply the rule -(-a) = a:
[tex]\implies 10x-6x^3+8x^2-5x^2-12x^3+4[/tex]
Collect like terms:
[tex]\implies -6x^3-12x^3+8x^2-5x^2+10x+4[/tex]
Combine like terms:
[tex]\implies -18x^3+3x^2+10x+4[/tex]
f(x) = x². What is g(x)?
g(x) is the inverse of f(x)
[tex]f(x) = {x}^{2} [/tex]
[tex]g(x) = \sqrt{x} [/tex]
What happened in this situation?
........................................................................................................
(Maya raises her hand)
Ms. Teacher: Yes, Maya?
Maya: Someone passed gas.
(Another student, Nylo, begins silently laughing)
(Another student, Lia, notices Nylo laughing)
Lia: it was Nylo.
(the entire class begins laughing, except for Maya)
...............................................................................................
Why did Lia think it was Nylo and expose them? And why didn't Maya laugh?
Answer:
It's because Maya friend did not pass gas
its about efficiency in systems
.......................
What is the product of (2x - 1) (x + 4)
Answer: 2[tex]x^{2}[/tex]+7x-4
Step-by-step explanation:
Product implies multiplication so just multiply it out.
(2x-1) (x+4)
2x^2+8x-1x-4 (Combine like terms)
2x^2+7x-4
What are the possible values of xin 8x² + 4x=-1?
Answer:
hey
Step-by-step explanation:
4
Answer:
(-½,0)
Step-by-step explanation:
please mark me brainliest
Which of the following is the center and radius of the circle?
x2 + y2 + 4x – 14y + 46 = 0
Center (2, –7); r = 7
Center (–4, 14); r equals square root 46
Center (4, –14); r = 46
Center (–2, 7); r equals square root 7
The centre of the circle is (-2,7) and the radius is √7 , Option D is the right answer.
What is the standard equation of a Circle ?The standard equation of a Circle is
(x-h)² +(y-k)² = r²
where h and k is the centre of the circle , r is the radius
The given equation is
x² + y² + 4x – 14y + 46 = 0
x² +4x +4 -4 +y² -2.7y + 49-49+46 = 0
(x + 2)² + (y-7)² -4-49+46 = 0
(x + 2)² + (y-7)²= 7
Therefore the centre of the circle is (-2,7) and the radius is √7 ,
Therefore Option D is the right answer.
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Who got geometry regents answer key June 2022
Answer:
nobody yet
Step-by-step explanation:
Answer:
No one.
Step-by-step explanation:
The New York State Education Department has canceled the June 1, 2022, administration of the Regents Examination in U.S. History & Government (Framework). NYSED Commissioner Betty A.
Which of the following is a sum of cubes?
Answer:
x^3 + 8y^6
Step-by-step explanation:
Answer:
the answer is B !!!
Step-by-step explanation:
thank me later lol
Calcular la edades actuales de una madre y sus dos hijos sabiendo que hace 14 años la dad de la madre era 5
veces la suma de las edades de los hijos en aquel momento, que dentro de 10 madre será la suma de las edades
que los hijos tendrán en ese momento y que cuando el hijo mayor tenga la edad actual de la madre, el hijo
menor tendrá 42 años.
The present age of mother and her daughter respectively are; 40 and 10 years respectively.
How to Solve Algebra Word Problems?Let x and y be the present age of mother and her daughter respectively.
Therefore;
x + y = 50
x = 50 − y .....(1)
After 20 years, mother's age will be twice her daughter's age at the time. Thus;
x + 20 = 2(y + 20)
x − 2y = 20 .....(2)
Plugging eq 1 into eq 2 gives us;
50 − y − 2y = 20
3y = 30
y = 10
Thus;
x = 50 − 10
x = 40
Thus, the present age of mother and her daughter is 40 and 10 years respectively.
Translation of the question into English is;
The sum of the present ages of mother and her daughter is 50 years. After 20 years, mother's age will be twice her daughter's age at the time. Find their present ages.
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Which of the following is correct based on this picture?
B. none of these are correct
Use the grouping method to factor this polynomial completely.
4x³ + 8x²+3x+6
O A. (4x2 + 2)(x+3)
OB. (4x2+2)(x+2)
O C. (4x²+3)(x+3)
D. (4x² + 3)(x + 2)
Answer:
D. [tex](4x^2 + 3)(x + 2)[/tex]
Step-by-step explanation:
Hello!
We can group the first two terms and the last two terms and factor each group.
Factor by Grouping[tex]4x^3 + 8x^2 + 3x + 6[/tex][tex](4x^3 + 8x^2) + (3x + 6)[/tex][tex]4x^2(x + 2) + 3(x + 2)[/tex]Now we can combine the like factors:
[tex](4x^2 + 3)(x + 2)[/tex]The answer is Option D.
The reciprocal of 15 is
1.
Answer:
1/15 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.54 and a standard deviation of 0.42. Using the empirical rule, what percentage of the students have grade point averages that are less than 2.96? Please do not round your answer.
Using the Empirical Rule, it is found that 84% of the students have grade point averages that are less than 2.96.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, 2.96 is one standard deviation above the mean. We have that:
The normal distribution is symmetric.Of the 50% of the measures below the mean, all are below 2.96.Of the 50% of the measures above the mean, 68% are below 2.96.Hence the percentage is given by:
P = 50% + 0.68 x 50% = 50% + 34% = 84%.
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Solve 4|x + 6| = 16
Answer:
-10 and -2
Step-by-step explanation:
First, divide both sides by 4 to get |x+6| = 4
Then, Take the absolute vaule on both sides
x+6= 4 or -4
So, x could be 2 vaules
Your welcome!
4 | x + 6 | = 16
Divide both sides by 4.
[tex]\bf{\dfrac{4|x+6|}{4}=\dfrac{16}{4} }[/tex]
[tex]\bf{|x+6|=4 }[/tex]
Absolute value is solved.
[tex]\bf{|x+6|=4 }[/tex]
We know either x + 6 = 4 or x + 6 = -4.
x + 6 = 4 (Possibility 1)
x + 6 - 6 = 4 - 6 (Subtract 6 from both sides)
x=−2
x + 6 = -4 (Possibility 2)
x + 6 - 6 = -4 - 6 (Subtract 6 from both sides)
x=-10
Solution:
x=−2 or x=−10
[tex]\red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]
