The grades and gender is 29/59
What is probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given:
A B C Total
Male 20 13 7 40
Female 9 2 8 19
Total 29 15 15 59
Total candidates who have A grade = 20+9 = 29
So, the probability that the student got an A
= 29/59
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8
Diameter;
Radius:
B
(a) Find the perimeter of the square
(b) Find the area of the square Area =
(c) Find the circumference of the circle C = 2πr
(d) Find the area of the circle. Area = πr²
(e) Find the area of the region between the square and the circle
answer: A: 16
B: 16
C: 12.57
D: 12.57
E: 3.43 (do area of square-area of circle 16-12.57
O
11
O
12 13
←
14
15
Which number line represents the solutions to -2|x| = -6?
←
16
17
18
←
+ +
-8-7-6-5-4-3 -2 -1 0 1 2 3
+
-8-7-6-5-4-3 -2 -1 0 1
19
+
-8-7-6-5-4-3 -2 -1 0 1 2
2 3
++
20
++ ++
4
567
4 5 6 7
3 4
5 6 7
8
8
+
8
H
-8-7-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
T
Answer:
thats not even understandable
The solution set is {3, -3} and is represented by the number line shown below.
What is number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
We have,
To solve the equation -2|x| = -6,
We can begin by dividing both sides by -2:
|x| = 3
This means that the absolute value of x is equal to 3.
The solutions to this equation are x = 3 and x = -3.
The number line that represents these solutions is:
<--(+)===================(+)--->
-3 3
The open circles indicate that the solutions are not included in the solution set since the absolute value of x cannot be negative.
Therefore,
The solution set is {3, -3} and is represented by the number line shown above.
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Determine the equation of the line that passes through the given points. (If you have a graphing calculator, you can use the table feature to confirm that the coordinates of both points satisfy your equation.) (-5, 10) and (5, -10) a. y = 2x-10 b. C. d. y = 2x y = -2x+ 20 y=-2x A
Answer:
y = -2x
Step-by-step explanation:
It passes through -5, 10 and 5, -10
gradient = Δy/Δx
gradient = -10 - 10 / 5 -- 5
gradient = -20 / 10
gradient = -2
let's use -5, 10 for y = mx + b
10 = -2(-5) + b
10 = 10 + b
b = 10 - 10
b = 0.
the equation of the line is just y = -2x
Which equations are true for x = -2 and x = 2? Select two options
Ox²-4 = 0
0x²= -4
3x² + 12 = 0
14x² = 16
2(x-2)² = 0
Answer:
x2-4 = 0
x2= 4
x = 2 or x = (-2)
The equations that are true for x = -2 and x = 2 are:
x² - 4 = 0
2(x - 2)² = 0
Options A and D are the correct answer.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We also find the solution in a system of equations using the substitution or elimination method.
Example:
2x + 4 = 8
The solution is x = 2.
We have,
The values given for x are -2 and 2.
Therefore, we can substitute each value of x into the given equations to determine which are true for those values.
x² - 4 = 0
When x = -2, we have (-2)² - 4 = 0, which is true.
When x = 2, we have (2)² - 4 = 0, which is also true.
x² = -4
When x = -2, we have (-2)² = 4 which is not equal to -4, so this equation is false for x = -2.
When x = 2, we have (2)² = 4 which is not equal to -4, so this equation is false for x = 2.
3x² + 12 = 0
When x = -2, we have 3(-2)² + 12 = 0, which is false.
When x = 2, we have 3(2)² + 12 = 24, which is not equal to 0.
Therefore, this equation is false for x = 2.
14x² = 16
When x = -2, we have 14(-2)² = 56, which is not equal to 16.
Therefore, this equation is false for x = -2.
When x = 2, we have 14(2)² = 56, which is also not equal to 16.
Therefore, this equation is false for x = 2.
2(x-2)² = 0
When x = -2, we have 2(-2-2)² = 0, which is not equal to 0.
Therefore, this equation is false for x = -2.
When x = 2, we have 2(2-2)² = 0, which is equal to 0.
Therefore, this equation is true for x = 2.
Therefore,
The equations that are true for x = -2 and x = 2 are:
x² - 4 = 0
2(x-2)² = 0
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The ingredients for your braised greens cost 1.32. You sell it for $4. What is your contribution margin?
Your contribution margin is $2.68 considering the price of the braised ribs and the cost of the components.
Selling price per unit less variable cost per unit equals contribution margin, often known as dollar contribution per unit. The amount of sales income referred to as "Contribution" is the fraction that is not used to pay variable expenses and hence helps to cover fixed costs.
Given ingredients for your braised greens cost 1.32$ and sells at $4
We have to find contribution margin on that
The difference between a venture's variable costs and its selling price is the contribution margin:
= Selling price - Variable cost
The selling cost is $4 and the variable costs are $1.32.
Therefore Contribution margin is as follow:
= 4 - 1.32
= $2.68
Hence your contribution margin is $2.68 considering the price of the braised ribs and the cost of the components.
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2 Math questions! Offering the brainliest to who answers
Answer:
first one L second one D
Step-by-step explanation:
12 times a number is decreased by 10% of the number. Write an expression.
Answer:
something like below
Step-by-step explanation:
(12n) - (n * 10/100 )
URGENT WILL GIVE BRANLIEST IF CORRECT!!! A car is moving at 22.5 m/s, when it begins to accelerate at 1.45 m/s². How much time does it take to travel 60.2 m?
(Unit = s)
Answer:
2.48 seconds
Step-by-step explanation:
See attached
(5+3√2)² simplify the following
Answer:
[tex](5+3\sqrt{2} )^{2} =43+30\sqrt{2}[/tex]
≈85.43
Step-by-step explanation:
apply the binomial theorem to the square
[tex]=(5)^{2} +2(5)(3\sqrt{2} )+(3\sqrt{2} )^{2}[/tex]
[tex]=25+30\sqrt{2} +18\\[/tex]
[tex]=43+30\sqrt{2}[/tex]
≈85.43
Hope this helps
Hello!
Here, we apply the algebraic identity :
[tex]\boxed {(a + b)^{2} = a^{2} + 2ab + b^{2}}[/tex]
Let's solve!
⇒ (5 + 3√2)²
⇒ (5)² + 2(5)(3√2) + (3√2)²
⇒ 25 + 30√2 + 18
⇒ [tex]\boxed {43 + 30\sqrt{2}}[/tex]
∴ The final answer will be 43 + 30√2.
Show how to solve it step by step
tan(x)cot(x)=1
There are two ways to confirm the identity.
Method 1
[tex]\tan(x)\cot(x) = 1\\\\\tan(x)\frac{1}{\tan(x)} = 1\\\\\frac{\tan(x)}{\tan(x)} = 1\\\\1 = 1 \ \ \checkmark\\\\[/tex]
--------------------------------------------
Method 2
[tex]\tan(x)\cot(x) = 1\\\\\left(\frac{\sin(x)}{\cos(x)}\right)\left(\frac{\cos(x)}{\sin(x)}\right) = 1\\\\\frac{\sin(x)\cos(x)}{\cos(x)\sin(x)} = 1\\\\\frac{\sin(x)}{\sin(x)} = 1\\\\1 = 1 \ \ \checkmark\\\\[/tex]
A 6-sided number cube is rolled twice. What is the probability of getting a 3 on the first roll and a 4 on the second roll? 2.8% 16.7% 20% 33.3%
Answer: 2.8%
Step-by-step explanation:
On the first roll, probability to get a 3 is 1/6.
On the second roll probability to get a 4 is also 1/6.
To get both of these numbers together, you need to multiply the two probabilities.
1/6 x 1/6 = 1/36.
1/36 = ~2.8
2.8%
Answer: 2.8%
Step-by-step explanation: I got it right on the test.
Tom exercise a total of 150 minutes in two days he exercise 20 minutes less on the first day then on the second day how many minutes did he exercise each day?
Answer:
60 on the first day and 80 on the second
Step-by-step explanation:
the first day was lesser than the second day by 20 minutes.
so the second day was more than the first day by 20 minutes.
Urgent
Solve a=P(1.3)^x/x
The equation of a=P(1.3)^{x/x} is mathematically given as
a=1.3P or P=a/1.3
What is the solution of a=P(1.3)^{x/x}?
Generally, the equation for the statement is mathematically given as
a=P(1.3)^{x/x}
Therefore,
a=P(1.3)^{x/x}
a=P(1.3)^1
a=Px1.3
a=1.3P or P=a/1.3
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3.
2. The diagram below is divided into equal parts. Which fraction of the parts is
white?
Mark only one oval.
Option 1
Option 3
37
314
I
Option 2
47
Option 4
4/3
Step-by-step explanation:
simply count them.
there are 7 little rectangles building the whole.
from these 7, 4 are gray and 3 are white.
so, 3 of 7 are white.
that means,
3/7 of all the parts are white.
lim(lnx-ln4/x-4) as x approaches 4
Answer:
1/4 = 0.25
Step-by-step explanation:
I assume you mean
lim((ln(x) - ln(4)) / (x - 4))
ln(x) - ln(4) = ln(x/4)
rule of l'hopital
lim f(x)/g(x) = lim f'(x)/g'(x)
if g'(x) <> 0
f(x) = ln(x/4)
g(x) = x - 4
ln(x)' = 1/x
ln(x/4)' = 1/x/4 × 1/4 = 1/x
(x - 4)' = 1
so,
lim f'(x)/g'(x) = 1/x / 1 = 1/x
which is for x approaching 4 : 1/4 = 0.25
what is the range of the ordered pairs shown in the graph
Answer:
D.
Step-by-step explanation:
It contains all the y-values of the points.
Answer:
Coordinates of all points
first = (-1 , 3)
second = (-2, 1 )
third = (-3 , -3)
fourth = (-4 , -5)
option 3
The shadow of a tree is 10m longer when the angle of elevation of the sun is 45° than when it is 60°, find the height of the tree.
The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The length of the tree is 23.66 meters.
What is Tangent (Tanθ)?The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
Let the height of the tree be represented by x.
The length of the shadow when the angle of elevation is 45°.
Length of shadow = x/ Tan(45°)
The length of the shadow when the angle of elevation is 60°.
Length of shadow = x/ Tan(60°)
Now, since the difference between shadows is 10 meters. Therefore, we can write,
x/ Tan(45°) - x/ Tan(60°) = 10m
x[1/ Tan(45°) - 1/ Tan(60°) ] = 10 m
x (0.42265) = 10 m
x = 23.66 m
Hence, the length of the tree is 23.66 meters.
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Need help with this geometry question
Answer: B
Step-by-step explanation:
In triangles ABC and CED, CE=AC and AB=ED, but CD>BC, meaning the angle E is smaller than angle A.
Simplify
[tex]\left(\frac{123}{321}\right)\left(\frac{456}{654}\right)\left(\frac{789}{987}\right) \left(\frac{123}{321}\right)^{-1}\left(\frac{456}{654}\right)^{-1}\left(\frac{789}{987}\right)^{-1}[/tex]
Answer:
1
Step-by-step explanation:
using the rule of exponents
[tex](\frac{a}{b}) ^{-1}[/tex] = [tex]\frac{b}{a}[/tex] , then
[tex]\frac{123}{321}[/tex] × [tex]\frac{456}{654}[/tex] × [tex]\frac{789}{987}[/tex] × [tex]\frac{321}{123}[/tex] × [tex]\frac{654}{456}[/tex] × [tex]\frac{987}{789}[/tex]
[ [tex]\frac{123}{321}[/tex] × [tex]\frac{321}{123}[/tex] = 1 , [tex]\frac{456}{654}[/tex] × [tex]\frac{654}{456}[/tex] = 1 , [tex]\frac{789}{987}[/tex] × [tex]\frac{987}{789}[/tex] = 1 ]
= 1 × 1 × 1
= 1
what is 4³ writ
ten in expanded form?
Answer:
4^3 written in expanded form is 4*4*4
Mark as Brainliest please
Answer: 64
Step-by-step explanation:
Hii!
Do you need to know what 4^3 written in expanded form is? No problem!
4^3=4*4*4 (the ^3 tells us to multiply the base (which is 4 here) times 3)
The answer is 64.
Hope that this helped! Best wishes.
--
A group of students at Brunel university took a test in marketing and they needed to score 50 to pass. The results showed that the final grades have a mean of 62 and a standard deviation of 8. Suppose we approximate the distribution of these grades by normal distribution. Based on this information, you are required to perform the following; a) what percetage(to 3 decimals) of the students scored more than 78? B) what percentage of the students to 3 decimal places scored under 50? And c) what percentage to 3 decimal places of the students scored between 60 and 80?
Answer:
My answer: 15.87%
Step-by-step explanation:
The Final grades follows normal distribution.
It means =70
The Given standard deviation =10
The normal random variable of a standard normal distribution is called a standard score or a z-score. In Every normal condition, random variable X will be transformed into a z score via the following equation:
z=(X)
But when X is a normal random variable, μ is the mean of X.
For That, it is X=60
Z=(60−70)/10=−1
P(X<60)=P(Z<−1)
=0.1587
Hence percent of students failed in test is 15.87%
What is the mean for 14,14,14,15,15,15,15,15,16,16,16,16,17,17,17,17,17,17,17,17,17,17,18,18,18,18,18,18,18,19,19,19,19,20,20,20,20,20,21,21,21,21,22,22,22,23,23,23,23,23,24,24,24,24,24,24,25,25,25,25
Answer:
Mean: 19.366666666667
Step-by-step explanation:
Mean: Average of the Data set
If you add the numbers below and divide them by the amount of numbers there are, you will get the average of the data set.
14,14,14,15,15,15,15,15,16,16,16,16,17,17,17,17,17,17,17,17,17,17,18,18,18,18,18,18,18,19,19,19,19,20,20,20,20,20,21,21,21,21,22,22,22,23,23,23,23,23,24,24,24,24,24,24,25,25,25,25
Average= sum/count
Mean= 1162 / 60
Mean= 19.366666666667
Rounded to the nearest tenth: 19.4
Rounded to the nearest hundredth: 19.37
write a linear function of f with f(-3)=-2 and f(-2)=3
Answer:
y=5x+13
Step-by-step explanation:
when x=-3, y=-2, and when x=-2, y=3. we know that every time x increases by 1, y also increases by 5. This means that the slope is 5. to find the y-intercept, we need x to be 0. to find that, increase x by 2. if x increases by 2, then y would also increase by 10. add 10 to 3 and add 2 to -2 to get x=0 and y=13. the coordinates would be (0,13). the y-intercept is 13. now that we have enough information, we can conclude that y=5x+13. To check your answer, plug in the values for x.
Which expression is to equivalent to....
Answer:
B.) 2x¹⁰y¹²
Step-by-step explanation:
To begin, because all of the terms in the top and bottom are combined (right next to each other being multiplied), the coefficients can be divided like any normal number. When you divide variables with powers, you need to subtract the denominator powers from the numerator powers.
Therefore,
60 / 30 = 2
x²⁰ / x¹⁰ = x²⁰ ⁻ ¹⁰ = x¹⁰
y²⁴ / y¹² = y²⁴ ⁻ ¹² = y¹²
Combined, the simplified expression is 2x¹⁰y¹².
Simplest form of ratio 25g:3kg
Answer:
look at the picture.
Step-by-step explanation:
look at the picture.
what of the following points are on the line given by the equation y = 5x
Which table shows a proportional relationship between x and y
Table second represents the proportional relationship between x and y the answer is the second table.
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
As we know,
The proportional relation can be expressed mathematically:
y ∝ x
y = kx
Here k is the constant of proportionality.
k = y/x
From table second:
k = 3/2 = 6/4 = 9/6
Thus, the table second represents the proportional relationship between x and y the answer is the second table.
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Mr Tong had some money. After giving $1300 to each 5 of his children, he had $450 left. How much money did he have at first
Answer:
Step-by-step explanation:
money given to children=1300x5
=6500
total money =6500+450
=6950
Pls help me answer these questions⬇⬇⬇
Answer:
a) [tex]\frac{450}{100}[/tex] x 45 = 202.5g of sugar is in the can
b)[tex]\frac{4}{100}[/tex] x 80 = 3.2L is left
c)[tex]\frac{2400}{100}[/tex] x 70 = 1480 acres were planted with wheat
a. 202.5g
Since 45% of the energy drink is sugar
⇒ 45% of the total 450 grams will be made up of sugar
∴ sugar = [tex]\frac{45}{100}[/tex] * 450
= 202.5g
Thus, the can contains 202.5g of sugar
b. 3.2L
Since Simon used up 20% of the paint, the paint left in the can will now be 80% of the original 4 liters
∴ paint left = [tex]\frac{80}{100}[/tex] * 4
= 3.2L
Thus, the can has 3.2 liters of paint left.
c. 1680 acres
Here, 30% of the farmer's crop is and the rest is wheat
⇒ 70% is wheat
Total acres of land planted= 2400
∴ Acres planted with wheat = [tex]\frac{70}{100}[/tex] *2400
= 1680 acres
Thus 1680 acres is planted with wheat
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I need help with how to find x and y
The value of x and y from the given figure are 3 and 36
Similarity theorem of trianglesFrom the given similar triangles, the following expression is true
4/6 = x/54
Cross multiply
6x = 4 *54
x = 4 * 9
x = 36
Similarly
y/6 = 27/54
y/6 = 1/2
x =3
Hence the value of x and y from the given figure are 3 and 36
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