What is an equation of the line that passes through the points (1, 2) and (2, -1)?
Answer: m = -3
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A student’s score on an exam is an integer between 0 and 100. A score of 90 to 100 is an A, 80 to 89 is a B, 70 to 79 is a C, 60 to 69 is a D, and below 60 is a failing grade of F. It is known that scores between 51 and 100 are equally likely and scores less than 50 cannot occur. Find the following probabilities: (a) Find the probability the student gets an A? (b) Find the probability that student fails the exam. (c) Find the probability that the student who is known not to have a C grade, has a B grade. (d) Find the probability that a student who is known to have passed the course, has a B grade.
Answer:
A. 0.22
B. 0.18
C. 0.25
D. 0.244
Step-by-step explanation:
S = {51 to 100} = 50
The sample space S contains values from 51 to 100 which is a total of 50 different values.
A.
Probability of A (lies between the values of 90 to 100 = 11).
11/50 = 0.22
B.
For a student to fail the course, his course has to be less than 60 = from 51 to 59. A total of 9 values.
9/50 = 0.18
C.
For student to get c, (70 to 79) a total of 10 values: 10/50 = 0.20
P(student did not get C) = 1-0.20 = 0.80
To get B, ( 80 to 89)
10/50 = 0.20
Probability that a student who is known not to have a c grade has a b grade = 0.20/0.80 = 0.25
D.
Probability of passing lies between 60 to 100 = 41 scores
41/50 = 0.82
Probability of student who passed having a B = 0.20/0.82 = 0.244
A straight angle is split into the ratio of 3:1:4. Find the measure of each angle.
Answer:
Let the parts be given as x,
180° = 3x + 1x + 4x (Because a straight angle = 180°)
=> 180° = 8x
=> 180 / 8 = x (By the law of transposition)
=> 22.5 = x
Therefore the three different angles are :
67.5° , 22.5° , 90° respectively
Check,
=> 67.5 + 22.5 + 90
=> 90 + 90
=> 180°
If my answer helped, please mark me as the brainliest!!
Thank You!
There are 35 boys in the sixth grade. The number of girls in the sixth grade is 42. Lonnie says that means the ratio of the number of boys in the sixth grade to the number of girls in the sixth grade is 5: 7. Is Lonnie correct?
If 3t^2 and -4t are multiplied, the product
Is
Answer:
-36
bc my brain say write dis
Simplify the question 8(x+9)
Step-by-step explanation:
8(x + 9)
8x + 72 = 0
8x = -72
x = -72/8
x = -9
Answer:
Given : 8(x + 9)
Solution :
[tex]8(x + 9) = 0\\ [/tex]
Multiply 8 to both x and 9
[tex]8x + 72 = 0 \\ [/tex]
Now, Move 72 to RHS from LHS
[tex]8x = - 72 \\ [/tex]
[tex]x = \dfrac{ - 72}{8} \\ [/tex]
And the final ans we get is :
[tex]\boxed{x = - 9}[/tex]
A rectangle has an area of 171 square meters. Its width is ten meters less than the length. Find the measures of the length and width of the rectangle.
Step-by-step explanation:
The area of a rectangle is 171 m²
Let l is the length and b is the width of the rectangle
It width is 10 m less than the length. So,
b = l-10 ...(1)
Area of a rectangle is given by :
[tex]A=l\times b\\\\171=l(l-10)\\\\l^2-10l=171\\\\l^2-10l-171=0\\\\l^2-19l+9l-171=0\\\\\text{taking common together}\\\\l(l-19)+9(l-19)=0\\\\(l-9)(l-19)=0[/tex]
or
l = 9 m or l = 19 m
If l = 9 m,
b = 9-10 = -1 m (can't be possible)
If l = 19 m
b = 19-10 = 9 m
So, the length an the breadth of the rectangle is 19 m and 9 m respectively.
Inductive Reasoning
Write the next two numbers in the pattern
400, 200, 100, 50, 25,
Answer:
12.5, 6.25
Step-by-step explanation:
The answer halfs every time
Answer:
Step-by-step explanation:
After 400 ,800,1600
Before 25,12.5,6.25
5. Find the value of x. (x+16) (4x-5)
Answer:
x = 7
Step-by-step explanation:
Set the equations equal to each other, since the two angles are congruent.
x + 16 = 4x - 5 now solve
21 = 3x
x = 7
Answer:
Step-by-step explanation:
Henry can write 5 pages of his novel in 3 hours at this rate how many pages can Henry write in 8 hours
Answer:
13.3 pages.
Step-by-step explanation: Hopefully this helped a lot !
What is 4.345 × 10^5 in standard form?
You may need to erase the comma
To get this answer, move the decimal point to the right 5 spaces to go from 4.345 to 434,500
If the exponent was -5, then you would move five spaces to the left.
Find the value of x in each of the following A)2x=10 B)3x=27
Which expressions below equal a rational number? Select all that apply.
last question below, or select another question
For a Saturday matinee, adult tickets cost $8.50 and kids under 12 pay only $7.00. If 80 tickets are sold for a total
of $605, how many of the tickets were adult tickets and how many were sold to kids under 12?
Answer:
30 adult tickets and 50 child tickets
Step-by-step explanation:
605 = 8.5a + 7c
80 = a + c
620 = (8.5*40) + (7*40)
605 = (8.5*30) + (7*50)
a = 30 c = 50
nova needs to determine the number of books that will fit into a box. if the box has the length of 18 inches and each book is 2/9 of an inch thick, which expression can be used to determine the number of books that will fit into the box
Answer:
First we know that each book is 2/9 inch thick
- The total length of the box is 18 inches
- And we can fill the box with x Amounts of 2/9 inch books as long as the total length DO NOT SURPASS 18 inches
Step-by-step explanation:
In which x is the total number of books
Answer:how does it go again
Step-by-step explanation:
pe pe po po pe pe pp po
Find the measure of angle 1.
152
115
mZ1 =
Please help mee:(
Answer:
37°
Step-by-step explanation:
We have been given the diagram of the triangle;
To find the angle I;
We need to apply one of the geometry laws,
The sum of adjacent internal angles of a triangle gives the external angle;
So;
I + 115 = 152
Solve for I;
I = 152 - 115 = 37°
What is the value of x in the equation below? Round to the nearest hundredths place.
0.45 (x + 1.6) + 5 x = 18
3.01
3.17
36.44
38.4
Answer:
the answer is "B"
Step-by-step explanation:
took da quiz
Answer:
B
Step-by-step explanation:
Use the add-on method for determining interest on a loan of $1730, with an annual rate of 12% and a term of 2 years. Then, determine the annual interest rate during the last month of the loan.
Use the add-on method for determining interest on a loan of $1730, with an annual
Juan needs to rent a car for his road trip to Savannah, GA. Juan asks his friends if he knows how much the car rental costs. Nadia says she paid $50 for a two-day car rental. Johanna says she paid $75 for a three-day rental, and Kristine paid $100 for a four-day rental.
Juan made the table below to help him visualize how much his car rental will cost.
Answer:
ok whats the question?
Step-by-step explanation:
i only see the explanation
Round 7347803 to the nearest hundred thousand
Answer:
the answer is 7,348,000
Step-by-step explanation:
What is 3/4 divided by 9?
Answer:
1/12 or 0.0833333333333
Step-by-step explanation:
Diana invested $3000 in a savings account for 3 years. She earned $450 in interest over that time period. What interest rate did she earn? Use the formula I=Prt to find your answer, where I is interest, P is principal, r is rate and t is time. Enter your solution in decimal form rounded to the nearest hundredth. Fr example, if your solution is 12%, you would enter 0.12.
Answer:
0.05
Step-by-step explanation:
we are given the formula
I = Prt, where
I = interest earned = $450
P = Principal amount = $3000
t = time = 3 years
r = rate (we are asked to find this_
Simply substitute the known values into the equation
I = Prt
450 = 3000 x r x 3
450 = 9000r
r = 450/9000
r = 0.05
Answer:
0.05
Step-by-step explanation:
In a survey 36% of the students said that they kept an electronic diary. There were 900 students who kept an electronic diary. How many students were in the survey, please explain. :)) <33
If z = 13 – 71, what is the value of |z|?
Answer:
-58
Step-by-step explanation:
Simplify (6^7)^3.
A. 6^21
B. 42^3
C. 6^10
D. (1/6)^21
Answer:
A. 6^21
Step-by-step explanation:
When you see a parenthesis in which the number inside has a power, and there is a power outside the parenthesis, you multiply the powers.
(6^7)^3 = 6^(7 * 3) = 6^21
A. 6^21 is your answer.
~
Answer:
A. 6^21
Step-by-step explanation:
Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.
NEED HELP ASAP PLEASE
Classify the quadrilateral.
kite..................
Model the unknown number situation by writing an algebraic expression.
the difference of a number and one hundred
n-100
100 - n
n + 100
100 +n
Answer:
number 1 or A i got it
Step-by-step explanation:
Answer: The answer you are looking for is A on edge
Step-by-step explanation: Pls Mark me Brainilist! I know that this is for sure Right!
determine the number of significant digits in the measurement 3.08cm
9514 1404 393
Answer:
3 significant digits
Step-by-step explanation:
If there is a decimal point with non-zero digits to its left, all digits to the right of the left-most non-zero digit are significant. Here, that is all of them. This number has 3 significant digits.
__
Comment on other cases
If there is no decimal point, the digits between any leading and trailing zeros are significant. For example, 02000 has 1 significant digit.
If there are no non-zero digits left of the decimal point. All digits except leading zeros are significant. 0.0031000 has 5 significant digits.
The width of a classroom is 4 meters less than the length, and the area is 192 m^2. If the length is x m, find an equation in x and hence, find the dimensions of the classroom.
Answer:
length-x
width-x-4
area-- length* width
192=X*(X-4)
x^2-4x-192=0
x^2-16x+12x-192=0
X(x-16)+12(x-16)=0
(x-16),(X+12)
X= 16 because X cannot be negative like (-12)
the dimensions of the classroom will be
length = 16
width = 12
I hope this will help everyone