5x2x_=90
A-9 B-10. C-80. D-83
If the odds against Deborah's winning first prize in a chess tournament are 1 to 7, what is the probability of the event that she will win first prize?
Answer:
7/8
Step-by-step explanation:
Odds against are the ratio between losses and wins.
odds against = L / W
Probability of winning is the ratio between wins and all games.
probability = W / games
probability = W / (W + L)
The odds against are 1 to 7.
1/7 = L / W
W = 7 L
The probability is therefore:
P = (7 L) / (7 L + L)
P = 7/8
Exams are approaching and Helen is allocating time to studying for exams. She feels that with the appropriate amount of studying, she has an 80% chance of getting an A in Marketing. She also feels that she has a 60% chance of getting an A in Spanish with the appropriate amount of studying. Given the demands on her time, she feels that she has only a 45% chance of getting an A in both classes. What is the probability that Helen does not get an A in either class?
Answer: 0.05
Step-by-step explanation:
Let M = Event of getting an A in Marketing class.
S = Event of getting an A in Spanish class,
i.e. P(M) = 0.80 , P(S) = 0.60 and P(M∩S)=0.45
Required probability = P(neither M nor S)
= P(M'∩S')
= P(M∪S)' [∵P(A'∩B')=P(A∪B)']
=1- P(M∪S) [∵P(A')=1-P(A)]
= 1- (P(M)+P(S)- P(M∩S)) [∵P(A∪B)=P(A)+P(B)-P(A∩B)]
= 1- (0.80+0.60-0.45)
= 1- 0.95
= 0.05
hence, the probability that Helen does not get an A in either class= 0.05
In a hotel a servant needs to clean 30 rooms in 3 hours. How many rooms a servant needs to clean in 6 hours
Answer: 60 rooms
Step-by-step explanation:
because in 30 rooms is 3 hour + other 3 hour are 60 rooms. =60 rooms
Sixty three hundred thousandth in standard form what is it?
Answer:
63(10)^4
Step-by-step explanation:
630 000= [tex]63(10)^4[/tex]
rx - sx + y = b solve for y
Answer:
y = b-rx+sx
Step-by-step explanation:
rx - sx + y = b
Subtract rx from each side
rx-rx - sx + y = b-rx
-sx +y = b-rx
Add sx to each side
sx - sx + y = b-rx+sx
y = b-rx+sx
Jane's penny bank is 1/3 full. After she adds 480 pennies, it is 7/9 full. How many pennies can Jane's bank hold?
answer
980
Step-by-step explanation:
7/9-1/3=480
4/9=480
9/9=?
9/9×9/4×4809/1×120= 980Answer:
1080
Step-by-step explanation:
We take x to be the number of pennies in the bank at first which filled the bank by a ¹/3
¹/3=×
⁷/9=×+480
⅓ multiply by 3 with both the numerator and denominator to get 3/9
7/9-3/9=4/9
4/9=480
If 4/9=480 what of 9/9
9/9×480÷4/9
Reciprocate 4/9
9/9×480×9/4=1080
The sum of the ages of Jacob and Jasmine is 66 years. 6 years ago, Jacob's age was 2 times Jasmine's age. How old is Jacob now?
Answer:
Jacob's age is 42
Jasmine's age is 24
Step-by-step explanation:
Let Jacob's age be x
Let Jasmine's age be y
x + y = 66
x - 6 = 2(y - 6)
x - 6 = 2y - 12
x - 2y = -12 + 6
x - 2y = -6
x + y = 66 ------- (1)
x - 2y = -6 ------- (2)
From (1),
x = 66 - y -------- (3)
Substitute the value of x in (2)
x - 2y = -6
66 - y - 2y = -6
-3y = -6 - 66
-3y = -72
y = -72/-3
y = 24
Solve for x in (1)
x + y = 66
x + 24 = 66
x = 66 - 24 = 42
x = 42, y = 24
uiuuiukiuiuiiuiuiuiuijkyfyi
Answer:
rawrrrrrr mannnnnn
Step-by-step explanation:
Answer:
Boo!
Step-by-step explanation:
Fill in the formula: The sum of the natural numbers from m to n is equal to…
Answer:
any sum of the form m+n′, either n′ is equal to 0, in which case the first clause applies, and the sum can be evaluated immediately, or n′ is the successor s(n) of some natural number n, in which case the second clause applies, and we can compute the sum in terms of a strictly simpler sum.
Step-by-step explanation:
I hope that helps
A study by a group of cardiologists determined that maximal heart rate in humans, a parameter used as a basis for prescribing exercise programs, depends on age. Maximal heart rate is around 201 beats per minute for a 10-year-old, and decreases at a constant rate of 7 every 10 years. Which of the following inequalities best describes the ages, for which maximal heart rate is less than 180, a is >or equal to 10.. HELP
Answer:
208 - 0.7a < 180
Step-by-step explanation:
what is one way you can easily tell that 3/6 is not a simplified fraction
Answer:
3/6 can be simplified
Step-by-step explanation:
3 divided by 3
6 divided by 3
it comes out to be 1/2
What is the solution of the inequality x3 + 3x2 > 7x + 6?
Answer:
Inequality form : - 5 + squareroot13 / 2 < x < - 5- squareroot13 / 2 or x > 2
Step-by-step explanation: Solve the inequality by finding the roots and creating test intervals.
I hope this helps you out! :)
The solution to the inequality is [tex]\rm \left (\dfrac{-5+\sqrt{13} }{2} < x < \dfrac{-5-\sqrt{13} }{2} \right ) \ or \ x > 2[/tex].
The Interval Notation is [tex]\rm \left (\dfrac{-5+\sqrt{13} }{2} , \dfrac{-5-\sqrt{13} }{2} \right ) \cup (2, \infty)[/tex].
What is inequality?In Mathematics, the relationship between two values that are not equal is defined by inequalities.
The given inequality is;
[tex]\rm x^3 + 3x^2 > 7x + 6[/tex]
The solution to the inequality is determined in the following steps given below.
[tex]\rm x^3 + 3x^2 > 7x + 6\\\\\rm x^3 + 3x^2-7x-6 > 7x + 6-7x-6\\\\ x^3 + 3x^2-7x-6 > 0\\\rm \\ x(x^2+5x+3)-2(x^2+5x+3) > 0\\\\ \rm x^3+5x^2+3x-2x^2-10x-6 > 0\\\\ x(x^2+5x+3)-2(x^2+5x+3) > 0\\\\\rm (x-2)(x^2+5x+3) > 0[/tex]
Now finding the roots of the inequality;
[tex]\rm (x-2)(x^2+5x+3) > 0 \\\\(x-2) \left (\dfrac{-5\pm\sqrt{25-12} }{2} \right )\\\\(x-2)\left (\dfrac{-5+\sqrt{13} }{2} \right )\left (\dfrac{-5-\sqrt{13} }{2} \right )[/tex]
Hence, the solution to the inequality is [tex]\rm \left (\dfrac{-5+\sqrt{13} }{2} < x < \dfrac{-5-\sqrt{13} }{2} \right ) \ or \ x > 2[/tex].
Learn more about inequality here;
brainly.com/question/4459260
#SPJ2
Sally is shopping for diapers and sees a box with 216 diapers for \$39.98 and a box with 88 diapers for \$24.99 . Which option has the better deal the diapers?
Answer:
For me I think 216 diapers for 39.98 is the best option
Step-by-step explanation:
Get the price of one diaper in each offer
216 = $39.98
1= ?
1×39.98÷216=0.19
Option 2
88=24.99
1 =?
1×24.99÷88=0.28
So I prefer buying 1 diaper for$0.19 and get 216 of them for $39.98 rather than buying 1 diaper for $0.28 and get 88 of them for $24.99
A brick is shaped like a rectangular prism. The length is 8 inches. The height is 4 inches. The width is 4 inches. What is rhe surface area of the brick?
Answer:
160
Step-by-step explanation:
8(4)(2)= 64
4(4)(2)= +32
8(4)(2)= 64
______
160
Answer:
Step-by-step explanation:
4 boxes of candy costs $ 10. How much
would 14 boxes of candy cost?
Answer:
14 boxes of candy would cost $35
Step-by-step explanation:
First find the unit price. It is $2.50 per box. Next multiply it by 14. It is $35 for 14 boxes of candy.
I hope this helped and have a great day.
(Please vote this the brainliest)
A group of students was asked about favorite colors, and 20% of the students said that their favorite color is red. There are about 3000 students in the school. If the margin of error is ±2%, what is the range of the number of students who likely say that their favorite color is red? List the number of students from least to greatest.
Answer:
18%:540 20%:600 22%:660
Step-by-step explanation:
18%:540 20%:600 22%:660
20-2=18 20+2=22
The required least to the greatest number of students their favorite color is red is 540 and 660 respectively.
Given that,
A group of students was asked about their favorite colors,
20% of the students said that their favorite color is red.
There are about 3000 students in the school.
The margin of error is ±2%,
To determine what is the range of the number of students who likely say that their favorite color is red
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Total number of students = 3000
Number of students like red color = 20% of 3000 = 0.20 * 3000 = 600
the margin of error ±2% of 3000 = ± 0.02 * 3000 = ± 60
Least number of students their favorite color is red = 600 - 60 = 540
Greatest number of students their favorite color is red = 600 + 60 = 660
Thus, the required least to the greatest number of students whose favorite color is red is 540 and 660 respectively.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
-V35 is it an irrational number
What is the solution of the equation 16-17+ Vb=1?
b = 3
O b = 9
O b = 81
no solution
solve for x
[tex] - 6x + 14 = 32 - 4x[/tex]
how do I solve
Answer:
x = -9
Step-by-step explanation:
add 4x to both sides of the equal sign so then you'd have -2x + 14 = 32
then subtract 14 from both sides to where you have -2x = 18
then divide both sides by -2 and get x= -9
what is -5 considered as
how do you round answer to two decimal place
Answer:
please give brainlist
Rounding to a certain number of decimal places
If we want to round 4.732 to 2 decimal places, it will either round to 4.73 or 4.74. 4.732 rounded to 2 decimal places would be 4.73 (because it is the nearest number to 2 decimal places).
hope this helped
I will mark Brainy just help!!!!
Answer:
D
Step-by-step explanation:
Cristina held a raffle in which each ticket had a cost of 500 pesos. She sold all the tickets but 5 of her friends didn't pay for them immediately, they will pay for them later. How much money do her friends owe Cristina?
Answer:
$100 each.
Step-by-step explanation:
500 divided by 5 = 100
Solve each equation. Check your solutions.
5 - 3|2 + 2w|= -7
Answer:
[tex]w=1\text{ or } w=-3[/tex]
Step-by-step explanation:
So we have the equation:
[tex]5-3|2+2w|=-7[/tex]
First, subtract 5 from both sides:
[tex]-3|2+2w|=-12[/tex]
Divide both sides by -3:
[tex]|2+2w|=4[/tex]
Definition of Absolute Value:
[tex]2+2w=4\text{ or } 2+2w=-4[/tex]
Divide both sides of the equation by 2 for both equations:
[tex]1+w=2\text{ or } 1+w=-2[/tex]
Subtract 1 from both sides:
[tex]w=1\text{ or } w=-3[/tex]
And we're done!
To check:
[tex]5-3|2+2(1)|=-7[/tex]
Multiply:
[tex]5-3|2+2|=-7[/tex]
Add:
[tex]5-3|4|=-7[/tex]
Multiply:
[tex]5-12=-7[/tex]
Subtract:
[tex]-7\stackrel{\checkmark}{=}-7[/tex]
And:
[tex]5-3|2+2(-3)|=-7[/tex]
Multiply:
[tex]5-3|2-6|=-7[/tex]
Subtract:
[tex]5-3|-4|=-7[/tex]
Absolute Value:
[tex]5-3(4)=-7[/tex]
Multiply:
[tex]5-12=-7[/tex]
Subtract:
[tex]-7\stackrel{\checkmark}{=}-7[/tex]
One side of triangle is 3x -5.. the other side is 19-x and the base is 2x. What is the perimeter of the triangle
Answer:
4x+14
Step-by-step explanation:
In order to find the perimeter of an triangle you need to add up all the sides of the triangle.
3x-5+19-x+2x ---> 3x+14-x+2x --> 4x+14
Help please this is math
use the pictures or words to explain how you could find the sum of 7+7
Emerson is cutting boards that are 3/4 foot long to make bird houses. How many pieces can he cut from a board that is 9 feet
The triangle will be enlarged by a scale factor of 10. A triangle with base 10 centimeters and height 7 centimeters. What will be the area of the new triangle?
Answer:
3500cm^2
Step-by-step explanation:
Area of a triangle= bxh/2
10x10=100
7x10=70
100x70=7000
7000/2=3500
Answer:
3500 cm²
Step-by-step explanation:
The given triangle has an area of ...
A = (1/2)bh = (1/2)(10 cm)(7 cm) = 35 cm²
The area of the enlarged triangle will be 10² = 100 times that, or 3500 cm².
__
You can see this if you use the enlarged dimensions in the area formula:
A = (1/2)bh = (1/2)(10·10 cm)(10·7 cm) = 100·35 cm² = 3500 cm