Answers
The probability that a student, chosen at random, does not study chemistry is 20/41.
What is Probability?
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Here, Total number of student = 41
Student who does not study chemistry = 20
So, the probability = favorable outcome / total outcomes
P(not studying chemistry) = 20 / 41
Thus, The probability that a student, chosen at random, does not study chemistry is 20/41.
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Related Questions
What is the value of X?
Answers
Answer:
C
Step-by-step explanation:
using Pythagoras' identity in the right triangle
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
x² = 40² + 9² = 1600 + 81 = 1681 ( take square root of both sides )
x = [tex]\sqrt{1681}[/tex] = 41
[tex]\sf\large\green{\underbrace{\red{Question*}}}:[/tex]
[tex] \mathcal \pink{Solve} [/tex]
[tex] \blue{3(x - 2) + 2(x + 1) = 10}[/tex]
Answers
[tex]~~~~~~~3(x-2) +2(x +1) = 10\\\\\implies 3x -6 + 2x+2 = 10\\\\\implies 5x -4 = 10\\\\\implies 5x = 10+4\\\\\implies 5x = 14 \\\\ \implies x = \dfrac{14}5 \\\\ \implies x = 2.8[/tex]
[tex]\large{\underline{\underline{\pmb{\sf{\color {red}{Solve:}}}}}}[/tex]
[tex] \sf \red{3(x - 2) + 2(x + 1) = 10}[/tex]
[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]
In the above question, it is said to find out the value of "x". So, let's solve.First we gonna multiply (x - 2) with 3 and then again (x + 1) with 2.
So, it goes...[tex]3(x - 2) + 2(x + 1) = 10 \\ \\ \implies \: 3x - 6 + 2x + 2 = 10 \\ \\ \implies \: 5x - 4 = 10 \\ \\ \implies \: 5x = 10 + 4 \\ \\ \implies5x = 14 \\ \\ \implies \: x = \frac{14}{5} \\ \\ \implies \: x = 2.8[/tex]
Therefore, we've found the value of "x" and that is 2.8[tex] \boxed{ \frak \pink{Have \: a \: Splendid \: Day}}[/tex]
[tex] \boxed{ \frak \green{Be \: Brainly}}[/tex]
Suppose f(x)=6x-2 and g(x)=2x+4. Find each of the following functions.
a. (f+g)(x)
b. (f-g)(x)
Need help guys
[tex] \tt \pink{nonsense = report}[/tex]
[tex] \tt \pink{correct = brainliest.\: heart. \: rate \: 5}[/tex]
Answers
Given : f(x) = 6x - 2 and g(x) = 2x + 4 .
Need To Find : Functions : (I). (f+g)(x) &, (II). (f-g)(x) .
ㅤ(I) (f+g)(x)
[tex]\sf\quad\dashrightarrow \:\: \big(\:f\:+\:g\: \big)\:x\: \:\\\sf\quad\dashrightarrow \:f \big(x \big)\:+\:g \big(x \big)\:\:\\\sf\quad\dashrightarrow \: \big(6x-2 \big)\:+\: \big(2x+4 \big)\:\:\\\sf\quad\dashrightarrow \:6x-2\:+\:2x+4\:\:\\\pmb{\sf\quad\dashrightarrow \:8x \: +\: 2\:}\:\\[/tex]
ㅤ(I) (f-g)(x)
[tex]\sf\quad\dashrightarrow \:\: \big(\:f\:-\:g\:\big)\:x\: \:\\\sf\quad\dashrightarrow \:f\big(x\big)\:-\:g\big(x\big)\:\:\\\sf\quad\dashrightarrow \:\big(6x-2\big)\:-\:\big(2x+4\big)\:\:\\\sf\quad\dashrightarrow \:6x-2\:-\:2x-4\:\:\\\pmb{\sf\quad\dashrightarrow \:4x \: -\: 6\:}\:\\[/tex]
The equation of line A is y = 5 - 2x Line B is parallel to line A. Line B passes through the point (-3,7)
Work out the coordinates of the point where line B intersects the x-axis.
Answers
Answer:
The answer is (0.5, 0)
Step-by-step explanation:
What is the area of a circular pizza with a radius of 9 cm? b. 28.3c * m ^ 2 od. 1017.9c * m ^ 2 c. 254.5c * m ^ 2 a. 56.5c * m ^ 2
Answers
Answer:
254.5 cm²
Step-by-step explanation:
area = πr²
area = 3.14159 × (9 cm)²
area = 254.5 cm²
Sana's mother bought produce for Sunday dinner. She bought one more pound of peaches than pounds of tomatoes. She bought 3 times as many pounds of tomatoes as pounds of mushrooms. If peaches cost $6 per lb, tomatoes cost $3 per lb, and mushrooms cost $10 per lb, how many of each did Sana's mother buy for $80?
Answers
Using a system of equations, it is found that Sana's mother bought 6.72 pounds of peaches, 5.72 pounds of tomatoes and 2.24 pounds of mushrooms for $80.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
Variable x: Number of pounds of peaches.Variable y: Number of pounds of tomatoes.Variable z: Number of pounds of mushrooms.She bought one more pound of peaches than pounds of tomatoes, hence:
x = y + 1.
y = x - 1.
She bought 3 times as many pounds of tomatoes as pounds of mushrooms, hence:
x = 3z.
y = x - 1 = 3z - 1.
She spent a total of $80, hence considering the cost per pound of each product we have that:
6x + 3y + 10z = 80.
Considering the values of x and y as function of z and replacing in the equation, we have that:
6(3z) + 3(3z - 1) + 10z = 80
18z + 9z - 3 + 10z = 80.
37z = 83.
z = 83/37
z = 2.24.
Then:
x = 3z = 3 x 2.24 = 6.72.
y = x - 1 = 3z - 1 = 6.72 - 1 = 5.72.
Hence, she bought 6.72 pounds of peaches, 5.72 pounds of tomatoes and 2.24 pounds of mushrooms for $80.
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7 lbs peaches, 6 lbs tomatoes, 2 lbs mushrooms
yum!
What is startfraction 3 pi over 4 endfraction radians converted to degrees? if necessary, round your answer to the nearest degree.
Answers
Unit conversion is a way of converting some common units into another without changing their real value. The value of (3π/4) radian converted to a degree is 135°.
What is unit conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
Since π radian is equal to 180°. Therefore, the value of (3π/4) radian is equal to,
1 radian = 180°/π
(3π/4) radian = (3π/4) × (180°/π) = 135°
Hence, the value of (3π/4) radian converted to a degree is 135°.
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Answer:
option 2
Step-by-step explanation:
the radius of the bigger circle is 9cm and the area of the shaded region is twice that of the smaller circle then how long is the radius of the smaller circle ?
Answers
Given the dimensions of the composite figure, formed by two concentric circles, we conclude that the radius of the smaller circle is approximately 3.728 centimeters.
How to determine the radius of the smaller circle
In this situation we have a composite figure formed by two concentric circles, whose area ratio is presented below, in which the area is directly proportional to the square of radius:
[tex]\frac{A'}{A} = \frac{(R-r)^{2}}{r^{2}}[/tex]
2 · r² = (9-r)²
2 · r² = 81 - 18 · r + r²
r² + 18 · r - 81 = 0
The roots of the second order polynomial are r₁ = -9 + 9√2 and r₂ = -9 - 9√2. As radius is a non-negative number, the only root that is reasonable is r₁ = -9 + 9√2 (r₁ ≈ 3.728).
Given the dimensions of the composite figure, formed by two concentric circles, we conclude that the radius of the smaller circle is approximately 3.728 centimeters.
Remark
The image is missing and is thus included in the figure attached below.
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Expand each expression In 4y5/x2
Answers
Answer:
[tex]\ln 4 -2 \ln x +5 \ln y[/tex]
Step-by-step explanation:
[tex]\ln \dfrac{4y^5}{x^2}\\\\=\ln(4y^5) - \ln(x^2)~~~~~~~~~~~;\left[ \log_b\left( \dfrac mn \right) = \log_b m - \llog_b n \right]\\\\=\ln 4 + \ln y^5 - 2\ln x~~~~~~~~~~~~;[\log_b m^n = n \log_b m ~\text{and}~\log_b(mn) = \log_b m + \log_b n ]\\\\=\ln 4 + 5 \ln y -2 \ln x\\\\=\ln 4 -2 \ln x +5 \ln y[/tex]
Answer: Answer B
Step-by-step explanation: Let's begin
Answer: B in 4 - 2 in x + 5 in y
Consider the expression below.
9 + 4(x + 2) – 3x
Select the term that best describes "3" in the given expression.
A.
exponent
B.
variable
C.
coefficient
D.
constant
Answers
Answer:
the term that best describes 3 is a coefficient because a
Step-by-step explanation:
Coefficient is a number that is being multiplied by the variable.
ACTIVITY #1
Try It!
A. Write the definition, property, postulate or theorem that will prove each of the given statements.
Answers
What completes the proof are:
1. LC ≅ CU; CU ≅ UK
2. Given
3. Unequal angle theorem (Aa → Ss)
What is the Unequal Angle Theorem?The unequal angle theorem states that the longer side of a triangle will always be directly opposite the largest angle measure. This implies that, if an angle that is opposite a side is greater than another another, the side it is opposite will also be longer than the side opposite the other angle (Aa → Ss).
From the image given, statement 1 was given as well as statement 2.
Statement 1 would be: LC ≅ CU; CU ≅ UK.
The reason for statement 2 will also be "given".
Then, UL > CK using the unequal angle theorem (Aa → Ss).
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A ser of esta consists of four scores…
Answers
Answer:
x4 = 8
Step-by-step explanation:
To find the mean, add the values and divide by the number of values.
mean = (x1 + x2 + x3 + x4)/4
(3 + 12 + 7 + x4)/4 = 8
x4 + 22 = 32
x4 = 10
Answer:
x4 = 8
Step-by-step explanation:
If $3840 is deposited into a bank account at a 5% interest rate how long will it take the account to make $960 in interest?
Answers
assuming is simple interest
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$960\\ P=\textit{original amount deposited}\dotfill & \$3840\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years \end{cases} \\\\\\ 960 = (3840)(0.05)(t)\implies \cfrac{960}{(3840)(0.05)}=t\implies 5=t[/tex]
The side length of a square is 9 units. The square is reflected over the x-axis in the coordinate plane. What is the length of the side of the image? 0 10 -9 9
Answers
Answer:
9 units
Step-by-step explanation:
Reflections do not change the size of a shape, only dilations do. The side length will stay 9 units.
What is 7 to the 2018th power
Answers
Answer: infinity
the answer should be infinity since the number 7 will have to be multiplied with itself 2018 times.
hope that helps....
This graph talks about supply and demand can I get some help with it?
Answers
well that's Economics not Mathematics
Bob's family pays $50.37 at the pizzeria. This included a 19% tip. What was the cost of the bill without the tip percentage. (Please include how to solve it)
Answers
Answer:
$43.33
Step-by-step explanation:
50.37/119 = ?/100
cross multiply,
? = 43.3277
Give brainliest, please!
Hope this helps :)
Please help, i need right answers and be help if it with proof, ty! Figure G is rotated 90degree clockwise about the origin and then reflected over the x-axis, forming figure H.
Which sequence of transformations will produce the same results?
a reflection over the y-axis and then a rotation 90degree clockwise about the origin
a reflection over the x-axis and then a rotation 90degree clockwise about the origin
a 180degree rotation about the origin
a reflection over the y-axis and then a reflection over the x-axis
Answers
Answer:
A. A reflection over the y-axis and then a rotation 90 degree clockwise about the origin.
Step-by-step explanation:
Given information: Figure G is rotated 90degree clockwise about the origin and then reflected over the x-axis, forming figure H.
This means Figure H is made by G rotated CLOCKWISE and reflected over the X-AXIS.A sequence of transformations to produce the same results could be the opposite of this, wherein Figure H undergoes a series of transformations to form Figure G.
A reflection over the y-axis flips figure H like folding a piece of paper in half vertically. To help visualize, the point (5, -2) becomes (-5, -2). A 90 degree clockwise turn about the origin makes the point (-5, -2) on figure H to become (-2, 5). Figure G has the same point at (-2, 5).so, a reflection of figure H over the y-axis and then a rotation 90 degree clockwise about the origin will form figure G, thus producing the same results.(3x+43)^((2)/(3))+22=38
Answers
Answer:
X = 7 and -35.6666
Step-by-step explanation:
5 feet to 31 inches write the ratio of the first measurement to the second measurement compare in inches
Answers
Answer:
60:31
Step-by-step explanation:
Please do both you get 100 points!!
Answers
#6
Sum of exterior angles of any polygon=360°
sides=6
Measure of one angle
360/660°Option D
#7
4ft=1cm
32ft=32/4=8cmand
60ft=60/4=15cmDimensions are 8cm and 15cm
Option B
Answer:
6. d. m∠YXZ = 60°
7. b. 8 cm x 15 cm
Step-by-step explanation:
Question 6
∠YXZ is the exterior angle of a regular polygon
Exterior angle of a regular polygon = 360° ÷ number of sides
⇒ ∠YXZ = 360° ÷ 6
⇒ ∠YXZ = 60°
Question 7
Scale 1 cm : 4 ft
Therefore, to convert actual dimensions in feet to sketch dimensions in centimeters, divide dimensions in feet by 4:
⇒ width = 32 ft
⇒ width = 32 ÷ 4 = 8 cm
⇒ length = 60 ft
⇒ length = 60 ÷ 4 = 15 cm
Therefore, the dimensions of the sketch are 8 cm x 15 cm
Mary O’Connell is earning a weekly salary of $521.60 as a payroll clerk. She has accepted a new assignment in the tax processing department. In her new position, she will be paid an annual salary of $30,534. How much more will she earn per week in her new position
Answers
Answer:
$ 65.59 more per week
Step-by-step explanation:
Assuming she worked 52 weeks a year as a clerk :
30534 - 52 * 521.6 = $ 3410.80 more per year
now each WEEK that is 3410.80 / 52 = 65.59
30-60-90 Triangle Practice
I need help with this, I do not understand anything.
(Teacher just give us hw expecting to know it already.)
Answers
Answer:
When there are numbers like that next to the radical it means multiply. like this: 2√9. You would first figure out the square root. Square root of 9 is 3. 2 times 3 is 6.
After you figure out those problems, you just need to put the number, x, and y in an equation with 2 unknowns.
Step-by-step explanation:
Answer:
When there are numbers like that next to the radical it means multiply. like this: 2√9. You would first figure out the square root. Square root of 9 is 3. 2times 3 is 6.
Step-by-step explanation:
The number of slugs in a garden t days from now is p, where
Po = 100
P1+1= 1.06pt
Work out the number of slugs in the garden 3 days from now.
Answers
The number of slugs in the garden 3 days from now is 119
How to determine the number of slugs?The function is given as:
Po = 100
[tex]P_{t+1} = 1.06P_t[/tex]
When t = 0, we have:
[tex]P_{0+1} = 1.06P_0[/tex]
[tex]P_1 = 1.06 * 100\\[/tex]
[tex]P_1 =106[/tex]
When t = 1, we have:
[tex]P_2 = 1.06 * 106[/tex]
[tex]P_2 = 112.36[/tex]
When t = 2, we have:
[tex]P_3 = 1.06 * 112.36[/tex]
[tex]P_3 = 119.1016[/tex]
Approximate
[tex]P_3 = 119[/tex]
Hence, the number of slugs in the garden 3 days from now is 119
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asap need help quick
Answers
Answer:
Answer:11
Step-by-Step Answer:
When we multiply 11 with 1\2 then thier answer will be 11\2
Find the midpoint of the line segment with end coordinates of:
(-4,-4) and (-4,-8)
Answers
Answer:
(-4, -6)
Step-by-step explanation:
(x,y) = ((x1+x2)/2 , (y1+y2)/2)
[substitute the values given]
(x,y) = ((-4+-4)/2 , (-4+-8)/2)
[solve]
(x,y) = (-8/2 , -12/2)
[simplify]
(x,y) = (-4, -6)
THE ANSWER IS (-4, -6) HOPE IT HALP'S MARK IT AS BRAILY.
medain of 38,42,77,47,74,51,48,41,82,72,74,129
Answers
Answer:
The median of 38, 42, 77, 47, 74, 51, 48, 41, 82, 72, 74, and 129 is 61.5.
Step-by-step explanation:
First, rearrange the data set in order.
38, 42, 77, 47, 74, 51, 48, 41, 82, 72, 74, 129
38, 41, 42, 47, 48, 51, 72, 74, 74, 77, 82, 129
Identify how many numbers are in the set. This will make it easier to infer the median.
Counting will show that this is a 12 number data set.
To find the median:
If there are an ODD amount of numbers in a data set, take the middle number. That is your median.
If there are an EVEN amount of numbers in a data set, take the middle two numbers, add them, then divide that by 2. That is your median.
Knowing this, take your middle two numbers, 51 and 72, and add them and divide by 2.
51 + 72 = 123
123/2 = 61.5
The median of this data set is 61.5.
Which number produces a rational answer when added to 0.85
Answers
The number that produces a rational answer when added to 0.85 is; 193/180
How to identify rational numbers?A rational number is an algebraic term expressed as a fraction. The fraction can also be in decimals but only if the decimal places are not repeating or not infinitely long. If they aren't, then these are called irrational numbers.
Now, let us convert 0.85 to a fraction. Thus;
0.85 = 85/100 = 17/20
From the given options, the only one that when added to 0.85 will yield a rational number is 2/9. This is because;
17/20 + 2/9 = 193/180
193/180 is a rational number.
The missing options are;
A. 2/9
B. 0.2645751311...
C. √2
D.
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This chart shows the result of an experiment conducted to see the effect of different brands of fertilizers on the growth of a bean plant.
Which of the following ranges would be appropriate to use in order to represent the numerical data in centimeters on the vertical axis of a Line Graph?
A. 0.0 to 26.0
B. 0.0 to 25.0
C. 14.0 to 25.2
D. 0.0 to 20.0
Answers
The range that is appropriate to use to represent the numerical data is 0.0 to 26.0.
What is a line graph?
A line graph is a graph that is used to represent numerical data. It shows the changes in the data with the passage of time. There are two axes on a line graph, the vertical axis and the horizontal axis. The range of the vertical axis should start from 0 and end at the largest number of data set.
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What is the equation of the line shown in this graph?
Answers
Answer:
x = -2
Step-by-step explanation:
Since this is a vertical line, the equation of the line will not be in y = mx+b form. The slope of the line is undefined. So, the equation will be x =.
To figure out what x equals, look at all the x values in the coordinates or look to see where it crosses the x axis, which is at -2.
The equation is x = -2.