The events Grade 5 and Science" are independent events, P(Grade 5 ∩ Science) = P(Grade 5) ⋅ P(Science) .Option B is the correct option.
What is frequency?
The frequency (f) of a specific value is the number of occurrences of the value in the data. The frequency distribution of a variable is the collection of all possible values and the frequencies associated with these values. Frequency distributions are represented graphically as frequency tables or charts.
Given table is
English Science Total
Grade 5 24 36 60
Grade 8 16 24 40
Total 40 60 100
Total students is 100.
Total student in grade 5 is 60.
The number of students who prefer science is 60.
The number of students who are in grade 5 and prefer science is 36.
The probability of grade 5 is P(grade 5) = 60/100 =0.6
The probability of science is P(science) = 60/100 = 0.6
The probability of Grade 5 ∩ Science is P(Grade 5 ∩ Science) = 36/100 =0.36.
Thus P(Grade 5 ∩ Science) =P(Grade 5) ⋅ P(Science).
To learn more two-way frequency table, click on the below link:
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A vet borrows $12,000 for 4 years. The total interest paid was $875. What was the interest rate on the loan?
Answer:
1
Step-by-step explanation:
the total length of 3 boards are 7/8 of a yard. The lenght of 2 boards are 1/4 of a yard and 3/16 of a yard. What is the length of the third board?
Answer: 7/16 of a yard
Step-by-step explanation:
first we have to find common denominators. 3x=7/8, or 3x=14/16
1/4=4/16 then 14-4-3=7, all over 16.
find the minimum angle of rotation of the given figure a. 40* b. 60* c. 45* d. 8*
Answer:
45 degrees
Step-by-step explanation:
Can y’all help me please I need help
Answer:
503 inches (rounded to the nearest whole number)
Step-by-step explanation:
First, we must calculate the wheel's circumference, or in other words, the distance around the wheel. We can do this by using the below equation:
[tex]C=\pi d[/tex] when [tex]d[/tex] is the diameter
Because we know that the wheel's diameter is 16 inches, we can plug it into the equation:
[tex]C=\pi (16)\\C=16\pi[/tex]
Now, because we know that the wheel makes 10 revolutions, we calculate the distance it travelled by multiplying the circumference by 10.
[tex]16\pi *10\\= 160\pi[/tex]
[tex]= 503[/tex] inches when rounded to a whole number
Therefore, the wheel travelled approximately 503 inches.
I hope this helps!
Ratna , who is in Mumbai , telephones her brother Ravi in Ahmedabad and speaks for 89 seconds . She is charged Rs 1.20 for every 16 seconds or part of 16 seconds . There is also a service charge of Rs 2 / - . Study the bill carefully . How much will it cost Ratna if she speaks to Ravi for 3 minutes ?
A) 14.40
B) 16.40
C) 18.40
D) 20.40
Please give explanation of your answer , please .
Answer:
16.40
Step-by-step explanation:
3 min-> 180 s
180÷16≈11
11+1=12
12x1.20=14.40
14.40 + 2 = 16.40
Mark buys $65 worth of of building supplies. He uses a 25% off coupon. What will be the new price?
Answer:
Step-by-step explanation:
65(1-25/100)
65(75/100)
65(.75)
$48.75
please help me thank you in advance!
Answer:
First option: (x+9)^2=81
Step-by-step explanation:
It has the same solution
In the following question, the domain of discourse is a set of students at a university. Define the following predicates: E(x): x is enrolled in the class T(x): x took the test Translate the following English statements into a logical expression with the same meaning.
a. Someone took the test who is enrolled in the class.
b. All students enrolled in the class took the test.
c. Everyone who took the test is enrolled in the class.
d. At least one student who is enrolled in the class did not take the test.
Answer:
From the examples given below:
E(x): x is enrolled in the class T(x): x took the test ,
The following sentences can be translated into something similar like:
1 E(x): All students enrolled in the class.
T(x): All students took the test.
2. E(x): Someone took the test
T(x): Someone are enrolled in the class.
3. E(x): Everyone took the test
T(x): Everyone is enrolled in the class.
4. E(x): At least one student is enrolled in the class
T(x): At least one student did not take the test.
Step-by-step explanation:
9 points
7) What is the Unit Rate? $12.84 for 4 cookies. *
O $3.21
O $4.20
O $5.19
O $2.50
Answer:
$3.21
Step-by-step explanation:
Please let me know if you want me to write an explanation for my answer :)
Pls help asap 15 POINTS
For what value of c are the factors of x2 + cx + 121 the same?
The value of c is [blank]?
Answer:
22
Step-by-step explanation:
Using the expression to determine the value of c
121 = (c/2)²
find c
121 = c²/4
c² = 121 * 4
c = √121*4
c = √484
c = 22
Hence the value of c is 22
Please I need help (>^<)ゞ
Katie and Elizabeth went to the store so Katie could return
some headphones. All DVDs were on sale for the same
price. Katie returned a set of headphones and purchased 3
DVDs, costing her an additional $5.
Elizabeth purchased 2 sets of the same headphones Katie
returned and a DVD for $67.
What is the cost of each item?
o Headphones $11; DVD $28
o Headphones $28; DVD $11
o Headphones $15; DVD $26
o Headphones $26; DVD $15
Answer:
Step-by-step explanation:
D
6The table below represents the charges for using the Internet at a cafe. 3 Number of Minutes Amount Charged (in dollars) 7.5 30 R. 120 12 220 Write an equation in slope-intercept form that describes the relationship between the number of minutes, x, and the amount charged, y.
Answer:
Step-by-step explanation:
y=mx+b
m=(y2-y1)/((x2-x1)
m=(12-7.5)/(120-30)
m=0.05
y=0.05x+b, using point (30,7.5)
7.5=0.05(30)+b
7.5=1.5+b
b=6
y=0.05x+6
Who ever gets this right gets branliest
Answer:
2 1/2
Step-by-step explanation:
Answer: 2 1/2
Step-by-step explanation: Its positive and lands between 2 and 3 halfway
−3x−8y=−8
y=2−x
yes or no
Answer:
No
Step-by-step explanation:
-3x-8y=-8
3x+8y=8 (multiply all terms by -1)
8y=8-3x (take 3x from both sides)
y=1-(3/8)x (divide each term by 8)
1-(3/8)x ≠ 2-x
NEED HELP ASAP !!! Mr. Sanchez's class sold fruit pies for $1.65 each and Mr. Kelly's class sold bottles of fruit juice for $1.36 each. Together, the classes sold 79 items and earned $118.17 for their school. (a) Write and solve a system of equations that model the problem. Show all your work (b) Which class earned more money? (c) How much more money did that class earn?
Answer:
Mr. Kelly's class old more and 11.455 more then the other class
Step-by-step explanation:
i used a calutor
Some one already answered this, heres the link to the answer:
brainly.com/question/19662350?referrer=searchResults&exp=25-1
Use substitution to solve the linear system of equations.
2y = X - 6
x=9
(9, 24)
(9, 3/2)
(3/2, 9)
(9,9)
Answer:
2y=X-6
×=9
(9, 3/2)
Step-by-step explanation:
Hope this help!
Answer: 65
Step-by-step explanation: 65
Mark buys $45 worth of office supplies. He uses a 15% off coupon. What will be the new price?
Answer:
38 dollars and 25 cents
Step-by-step explanation:
15% off is the same as saying 85% of the original price, because 100%-15%=85%.
We can do 85% · 45=0.85 · 45=38.25
Answer:
$38.25
Step-by-step explanation:
Sixteen is divided by the sum of the number q and 1. The result is four. What is the number.
Answer:
The number is 3.
Step-by-step explanation:
Ok, so here we're solving for a variable. The equation would be:
16 ÷ (q + 1) = 4
We can rewrite this as:
4(q + 1) = 16
First, you need to isolate q + 1. To do that, you to the inverse of the operation. IN this case, division is the inverse of multiplication. So:
4(q + 1) = 16
÷4 ÷4
q + 1 = 4
Alright, now we isolate q. The inverse of addition is subtraction, so we do this:
q + 1 = 4
- 1 - 1
q = 3
Now for our check:
16 ÷ (q + 1) = 4
16 ÷ (3 + 1) = 4
16 ÷ 4 = 4
4 = 4
q = 3
a number which is now a rattional number is a
Answer:
??? Incomplete sentence
Step-by-step explanation:
Marna is playing a game where you score -5 points each time you guess the correct answer the goal is to get the lowest score to win the game Marna Needs to have a score less than -80 point how many correct answers does my need to win the game
Determine whether the following statements are true and give an explanation or counterexample. If f is not one-to-one on the interval [a, b], then the are of the surface generated when the graph of f on [a, b] is revolved about the x-axis is not defined.
Answer:
Step-by-step explanation:
The missing equation is:
[tex]S = \int ^b_a 2 \pi f(y) \sqrt{1 + f' (y)^2 } \ dy[/tex]
Suppose f = nonnegative function whose first derivative is within (a,b) and it is continuous, Then the area of the surface generated is revolved about the x-axis:
The area of the surface revolution is:
[tex]S = \int ^b_a 2 \pi f(x) \sqrt{1 + f' (x)^2 } \ dx[/tex]
So; if [tex]x = g(y)[/tex] for [tex]y \ \varepsilon \ [c,d][/tex]
Then; substituting a with c and b with d; f(x) also with g(y) and dx with dy;
Then;
[tex]S = \int ^d_c 2 \pi g(y) \sqrt{1 + g' (y)^2 } \ dy[/tex]
SInce;
[tex]g(y) \ne f(y)[/tex]; Then the statement is false.
Provided that the semicircle [tex]y = \sqrt{1-x^2}[/tex] isn't on [tex][-1,1][/tex] interval.
Then, the solid generated by the revolution about the x-axis is a sphere.
However, the surface is well defined and the statement is false.
Grayson took out a loan for $900. In 18 months, he paid $54 in simple interest. What was the interest rate on Grayson's loan?
Answer:
.
Step-by-step explanation:
7/8 percent equivalent to the nearest whole percent?
Answer:
88%
Step-by-step explanation:
7/8 = 87.5%
Find the inverse function of f(x)=4x-8
Answer:
f^-1(x)=1/4x+2
Step-by-step explanation:
y=4x-8
change x and y
x=4y=8
switch sides
4y-8=x
add 8
4y=x+8
divide both sides by 4
y=1/4x+2
substitute f^-1(x) for y
f^-1(x)=1/4x+2
A piece of fabric is 2 yards long. The fabric is cut into 24 pieces of equal length.
How long is each piece?
2 inches
3 inches
4 inches
6 inches
Answer:
3 inches
Step-by-step explanation:
Answer:
3 in
Step-by-step explanation:
4. Look at the first example (a).
Now write the other numbers in expanded notation.
a. 654 = 600 + 50 + 4
b. 203 =
C. 2015 =
d. 8 002 =
e. 7 605 =
Which expression represents the distance between the points (11, 4) and (5,8)?
Answer:
[tex]\displaystyle d = 2\sqrt{13}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (11, 4) → x₁ = 11, y₁ = 4
Point (5, 8) → x₂ = 5, y₂ = 8
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(5-11)^2+(8-4)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(-6)^2+(4)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{36+16}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{52}[/tex][√Radical] Simplify: [tex]\displaystyle d = 2\sqrt{13}[/tex]please help it’s due!
Answer:
....m....................................
After 4 tests,Alex average score was 65.After the 5th test his average score increased by 5 .How much did he score in his 5th test?
Answer:
329 вот правильный ответ
cat este ¾-⅝?? caci eu nu stiu
Answer:
1/8 hope this help :)
Answer:
1/8 or 0.125
Step-by-step explanation: Key || · equals multiplication
3/4 - 5/8 = 3 · 2/4 · 2 - 5/8 = 6/8 - 5/8 = 6 - 5/8 = 1/8