The conditional relative frequency table was generated using data that compares the favorite subjects of male and female students at a high school. the survey was given to 120 male students and 180 female students. a 4-column table with 3 rows. the first column has no label with entries male, female, total. the second column is labeled math favorite subject with entries 0.35, 0.45, 0.41. the third column is labeled other favorite subject with entries 0.65, 0.55, 0.59. the fourth column is labeled total with entries 1.0, 1.0, 1.0. how many students in the survey said that math was their favorite subject? 42 81 120 123
The number of students in the survey said that math was their favorite subject is given by: Option D: 123
What is conditional relative frequency?Conditional relative frequency is relative frequency conditional to some special characteristic.
For this case, we're specified the following table:
[tex]\begin{array}{cccc}&\text{Math}&\text{Other favorite subject}&\rm Total\\\text{Male}&0.35&0.65&1.0\\\text{Female}&0.45&0.55&1.0\\\rm Total &0.41&0.59&1.0 \end{array}[/tex]
It is given that:
the survey was given to 120 male students andthe survey was given to 180 female studentsWe have to find how many students in the survey said that math was their favorite subject.
From males, 0.35 out of 1 male said math was their favorite subject. (since total in male is 1, showing that the row of males got conditional relative frequency conditional to the gender male, and relative to the total count of males).
Thus, as out of 1, there was 0.35 supporter of math (from males), so from 120 male students, there were [tex]120\times 0.35 = 42[/tex] male students who had chosen math as their favorite subject.
Similarly, 0.45 per 1 female student chose their favorite subject as math.
Since there are 180 female students, therefore, total [tex]180\times 0.45 = 81[/tex] female students had chosen math as their favorite subject.
So, total 42+81=123 students had chosen math as their favorite subject.
Thus, the number of students in the survey said that math was their favorite subject is given by: Option D: 123
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Answer: D-123
Step-by-step explanation:
Tell me the answer please 6*5=
Answer:
6*5=30
Step-by-step explanation:
Answer: 30
Step-by-step explanation: it means multiply 6 by 5
Find the approximate value of g(6) for the function below.
g(x) = e^x - 139
A. 403.43
B. -8.61
C. 4.98
D. 264.43
Answer:
The answer is letter B-8.61Step-by-step explanation:
Have a great day✧◝(⁰▿⁰)◜✧
A. 403.43
I hope it's help
PLS HELP ASAP! (show work)
Solve the compound inequality.
3 < 2x − 1 < 9
Answer: x = 2
Step-by-step explanation:
i’ll give brainlist
Answer:
option B
option C
4:40pm
2:45pm
option d
3:30
Step-by-step explanation:
please consider as brainlest que.
Write an equation and solve it. Anything goes as long as you address the following points:
a. The equation must start with an 'x' variable in an exponent. B. The equation must require logarithms to solve. C. In the solution you must use the power rule, the product rule and the quotient rule at least once each. D. Explain each step as you solve; which rules are you using and why?
e. What challenges did you face as you were writing your problem? Did you run into any dead ends?
Im having trouble thinking up an equation that uses all three rules. The power rule, the product rule, and the quotient rule. I can create one that uses 2 but i cant quiet imagin 3. Im probably just not thinking about it in the right way but any help would be appreciated.
The equation is 4^{3x} is equal to 8^{1/x} 2^{x+3} and the values of x are x is equal to (3+√69)/(10) or x is equal to (3-√69)/(10)
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]
where 'a' is a constant and a>1
After following the rules to model the equation.
The equation becomes:
[tex]\rm 4^3^x= 8^{1/x}\times 2^{x+3}[/tex]
After solving, we get:
[tex]2^{6x}= 2^{3/x \ +x+3}[/tex] (power rule)
Taking log on both sides with base 2
[tex]\rm log_2(2^{6x})= log_2(2^{3/x \ +x+3})[/tex]
After solving, we will get a quadratic equation:
[tex]\rm 5x^2-3x-3 = 0[/tex]
After using quadratic formula, we will get,
[tex]\rm x=\dfrac{3+\sqrt{69}}{10}[/tex] or
[tex]\rm x=\dfrac{3-\sqrt{69}}{10}[/tex]
Thus, the equation is 4^{3x} is equal to 8^{1/x} 2^{x+3} and the values of x are x is equal to (3+√69)/(10) or x is equal to (3-√69)/(10)
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PLEASE HELP!!!!!!!!!!!!!!!!!!!!!
Answer:
i odnt know use ur fingers or a calculator
Step-by-step explanation:
Lauren has 12 boxes of rocks. There are 60 rocks total. How many rocks are in each box?
Answer:5
Step-by-step explanation: Divide 60 By 12
Answer:
the answer is 5 rocks.
Step-by-step explanation:
Sinice there are 12 boxes and has 60 rocks. So that means we will divide the two to get 5bwhich is in each box.
What is the equation of the directrix to the right of the center of = 1? express the answer in decimal format. x =
The equation of the directrix to the right of the center is equal to 2.8.
Given the following data:
(x - 1)²/9 - (y - 2)²/16 = 1.
How to determine the equation of the directrix?Mathematically, the standard equation of the directrix lines for a hyperbola of the form (x - h)²/a² - (y - k)²/b² = 1 is given by:
x = h ± a²/√(a² + b²)
Where:
a² = 9.b² = 16.h = 1.Substituting the given parameters into the standard equation, we have;
x = 1 ± a²/√(a² + b²)
x = 1 ± 9/√(9 + 16)
x = 1 ± 9/√25
x = 1 ± 9/5
x = 1 + 9/5
x = 1 + 1.8
x = 2.8.
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Answer: The answer is 2.8
Step-by-step explanation:
Find the y-intercept of the line: 2x + 4y = 8
Question 2 options:
(2,4)
(0,2)
(4,0)
(4,2)
Answer:
(4, 0)
Step-by-step explanation:
2x + 4y = 8
x-intercept when y = 0
2x = 8
x = 4
so x-intercept (4, 0)
:) hole this helps
Flaming bbq restaurant makes a dipping sauce
4. Find the area of the circle. Round to the nearest tenth. Us 34 in. can anyone help/answer?
Answer:
907.9 in²
Step-by-step explanation:
D = 2r
r = D/2
r = 34/2
r = 17 in
A = πr²
A = π(17)²
A = 289π
A ≈ 907.9 in²
simplify: (2x-3)(5x+1)
Answer:
[tex]\huge\boxed{\sf 10x^2-13x-3}[/tex]
Step-by-step explanation:
[tex]=(2x-3)(5x+1)\\\\=2x(5x+1)-3(5x+1)\\\\Distribute\\\\= 10x^2+2x-15x-3\\\\= 10x^2-13x-3\\\\\rule[225]{225}{2}[/tex]
What value of k is the expression x^4+kx^2+36 a perfect square?
[tex]\text{ The discriminant is 0 if the quadratic expression is a perfect square.}\\\\~~~~~b^2 -4ac =0\\\\\implies k^2-4\cdot 1 \cdot 36 = 0\\ \\\implies k^2 - 144 = 0\\\\\implies k^2 = 144\\\\\implies k = \pm\sqrt{144}\\\\\implies k= \pm12\\\\\text{Hence}~ k=12 ~\text{and}~ k=-12.[/tex]
I need help, i cant use calculator
Answer: True.
Step-by-step explanation:
This inequality is ALWAYS true.
Hope this helps!
Help me find X and explain the process please.
Answer:
x=23
Step-by-step explanation:
10*18=9*(x-3)
180=9x-27
207=9x
x=23
I may be wrong its been a long time doing this problem.
12. If Aryial can read 3 pages of his book in 6 minutes. How many pages can he read in
Se an hour at the current rate?
Answer:
30 Pages
Step-by-step explanation:
Make a ratio:
[tex]\frac{3}{6} =\frac{x}{60}[/tex]
Cross multiply:
180=6x
Divide both sides by 6:
x=30
Answer:
30
Step-by-step explanation:
divide 60 by 6 and you get 10. Then take 10 and times it by 3
In △ABC, ∠B is a right angle, AB=30, and sec A=5/3. Find the value csc C in fraction and in decimal form.
Answer:
csc C = 5/3 = 1. (6)
Step-by-step explanation:
Given:
∠B = 90° is a right angle
AB = 30
We know that:
sec A = 5/3 = 1/ cos A = 1/ ( adjacent side/hypothenuse) =
hypothenuse/ adjacent side to angle A
csc C = 1/ sin C = 1/ sinC = 1/ (opposite side /hypothenuse) =
hypothenuse/ opposite side to angle C
Note that :
adjacent side to angle A is the same as opposite side to angle C
Therefore sec A = csc C = 5/3 ( fraction form) = 1.(6) (decimal form)
Find the standard deviation, correct to 2 decimal places.
Data Set: 10, 12, 12, 16, 24
Mean 14.8
Answer:
5
Step-by-step explanation:
Step 1: Mean
10+12+12+16+24
=74/5
=14.8
Step 2: Standard Deviation
Formula----- square root of varieance
23.04+7.84+7.84+1.44+84.64/5
124.8/5
24.96
[tex]\sqrt{24.96}[/tex]
4.996
5
Which of the following points lie in the solution set to the following system of inequalities?
y < −3x + 3
y < x + 2
(1, −5)
(1, 5)
(5, 1)
(−1, 5)
Answer:
(1, −5)
Step-by-step explanation:
Because in this case it is less than and the -3x would be cancelled out and I had this question and that correct answer was A(1,-5).
Hope this helps:)
Answer:
the answer is (1,-5)
Step-by-step explanation:
plug in the x and y values and see if they are true
y<-3x+3
(-5)<-3(1)+3
-5<-3+3
-5<0 is true
y<x+2
(-5)<(1)+2
-5<1+2
-5< 3 is true also
Thang decided to borrow $7000 from his local bank to help pay for a car. His loan was for 3 years at a simple interest rate of 6%. How much interest will Thang pay?
Answer:
$420
Step-by-step explanation:
A new car is purchased for $ 33 , 000 $33,000 and over time its value depreciates by one half every 7 years. What is the value of the car 4 years after it was purchased, to the nearest hundred dollars?
The equation of the value of the car over a year is 2357.14x + y = 33,000. Then the value of the car 4 years after it was purchased is $23571.43.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
A new car is purchased for $33,000 and overtime its value depreciates by one half every 7 years.
Then the value of the car is given by the linear equation. Then the line is passing through (0, $33,000) and (7, $16,500). Then we have
Let y be the value of the car and x be the number of years. Then we have
[tex]\rm y \ - \ 33000 \ \ = -\dfrac{16,500}{7} (x-0)\\\\y+2357.14x = 33000[/tex]
Then the value of the car 4 years after it was purchased, to the nearest hundred dollars will be
[tex]\begin{aligned} \rm y +2,357.14 \times 4 &= 33,000\\\\\rm y + 9,428.57 &= 33,000\\\\\rm y &= 23,571.43 \end{aligned}[/tex]
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which shows a right triangle
Answer:
2nd one - blue triangle
Step-by-step explanation:
A right angle triangle is a triangle that has a angle of 90°
Therefore our answer is second one - blue triangle.
Hope this helps and branliest please
Answer:
2nd triangle.
Step-by-step explanation:
For a triangle to be considered as a eight triangle it should have one angle which is equal to 90° in measure.
Here, the second triangle has 90° & hence is a right triangle.
________
Hope it helps ⚜
When computing a correlation coefficient, if you have 55 degrees of freedom, your sample size must be ______. Group of answer choices 56 57 54 58
Considering that you have 55 degrees of freedom, your sample size must be of 56.
What is the amount of a degrees of freedom in a sample?It is given by one less than the sample size.
In this problem, you have 55 degrees of freedom, hence:
n - 1 = 55
n = 56.
Your sample size must be of 56.
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A bottle of vitamins has 90 capsules in it. Each capsule has 450 milligrams of the supplement. What is the total number of grams of the supplement in one capsule?
The total number of grams of the supplement in one capsule will be 0.45 grams.
What is unit conversion?The measurement of any quanity is expressed by its unit. Now the units for the same matter can be expressed in different ways for higher quanity or lower quanity so we need to convert the units for the calculations.
Here in the question
Each capsule has 450 miligrams of supplement.
Total grams in one capsule will be calculated by unit conversion
[tex]\rm 1 \ gram=1000\ miligram\\\\\\1 \ Mg=\dfrac{1}{1000}\ gram\\\\\\450\ Mg=\dfrac{450}{1000}\ gram\\\\\\450 Mg=0.45\ gram[/tex]
Hence the total number of grams of the supplement in one capsule will be 0.45 grams.
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Jamel is asked to create triangles using three of four given sticks. The sticks measure 3 in., 6 in., 7 in., and 8 in. He creates these 4 triangles.
Triangle 1: 3 in., 6 in., 7 in.
Triangle 2: 3 in., 6 in., 8 in.
Triangle 3: 3 in., 7 in., 8 in.
Triangle 4: 6 in., 7 in., 8 in.
How many of his triangles are obtuse?
1
2
3
4
Based on the calculations, the number of Jamal's triangle that are obtuse are: C. 3.
How to determine an obtuse triangle?In order to determine an obtuse triangle, we would apply Pythagorean theorem:
c² = a² + b²
Where:
c is the hypotenuse.a is the adjacent side.b is the opposite side.For an obtuse triangle, the square of the hypotenuse is greater than the sum of the square of both the adjacent and opposite side:
c² > a² + b²
For Triangle 1, we have:
7² > 6² + 3²
49 > 36 + 9
49 > 45 (obtuse triangle).
For Triangle 2, we have:
8² > 6² + 3²
64 > 36 + 9
64 > 45 (obtuse triangle).
For Triangle 3, we have:
8² > 7² + 3²
64 > 49 + 9
64 > 58 (obtuse triangle).
For Triangle 4, we have:
8² > 6² + 7²
64 > 36 + 49
64 < 85 (not obtuse triangle).
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Answer: the answer is C 3.
Step-by-step explanation: it show below.
find the largest prime factor of 2820
Answer:
47
Step-by-step explanation:
2820 = 2 * 2 * 3 * 5 * 47
Prime factors:
2, 3, 5, 47
Largest prime factor:
47
Step-by-step explanation:
The largest prime factors of 2820 is 2*2*3*5*47 is the answer
please help! it’s select all that apply :)
Answer:
•The function models exponential decay
•The rate of decay is 75%
•350 represents the amount of money Alicia had in the budget at the beginning of the summer
•Alicia spent $262.50 during the first week of summer
a train traveled 162 miles in 3hours. At that rate, how many miles will the train travel in 1/3 hour?
Answer:
18 miles
Step-by-step explanation:
162 ÷ 3 × ⅓ = 18 miles
Hope this helps =)
A book bag was bought on a 45% off sale for $65.87. What was the original price rounded to the nearest cent.
Answer: 119.76 approx to 119.8
Step-by-step explanation:
55 % = 65.87
1% = 65.87/55
100% = 65.87/55 × 100/1