The probability the dish was broken by Casper if he bussed tables is;
P(Casper bussing tables and breaking dish) = 0.6%
We are given the three probabilities each for Alonzo, Bob and Casper for bussing tables and also in case any dish should break.
P(Alonzo bussing tables) = 70% = 0.7
P(Bob bussing tables) = 10% = 0.1
P(Casper bussing tables) = 20% = 0.2
P(Alonzo breaking a dish) = 6% = 0.06
P(Bob breaking a dish) = 2% = 0.02
P(Casper breaking a dish) = 3% = 0.03
This is all about independent events as the probability of breaking the dishes does not increase or decrease with the bussing of the tables.
Thus; P(A and B) = P(A) + P(B)
Thus, if a dish is broken, the probability that it was broken by Casper is;
P(Casper bussing tables and breaking dish) = P(Casper bussing tables) × P(Casper breaking a dish)
P(Casper bussing tables and breaking dish) = 0.2 × 0.03
P(Casper bussing tables and breaking dish) = 0.006 or 0.6%
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In a cafeteria,
1/6of the students are eating salads , and 2/3
are eating sandwiches. There are 12 students in the cafeteria. How many students are eating lunches other than salads or sandwiches?
Answer:
2 students
Step-by-step explanation:
First, you find the number of students eating either salads and sandwiches. Then, you add the number of students eating salads and sandwiches together. Finally, you will subtract that number from the 12 total students
2/3 * 12/1 = 8 (sandwiches)1/6 * 12/1 = 2 (salads)8 + 2 = 10 (combined)12 - 10 = 2 studentsFactorise the following.
Answer:
This is your answer
which expression is equal to 1/6?
Answer:
0.16
Step-by-step explanation:
The diameter of the planet Mercury is 4.87×103 kilometers. The diameter of the planet Venus is 1.21×104kilometers. The diameter of the planet Earth is 1.28×104 kilometers. The diameter of Mars is 6.79×103 kilometers. Which planet has the smallest diameter?
Question 2 options:
Mars
Mercury
Venus
Earth
Answer: Venus
Step-by-step explanation:
Answer:
Mercury, then MarsStep-by-step explanation:
Given diameters of planets:
Mercury ⇒ 4.87 × 10³ km = 4 870 kmVenus ⇒ 1.21 × 10⁴ km = 12 100 kmEarth ⇒ 1.28 × 10⁴ km = 12 800 kmMars ⇒ 6.79 × 10³ km = 6 790 kmCompared, we see the smallest value belongs to Mercury
The second smallest planet is Mars
Solve for the value of x.
Answer:
x=4/3
Step-by-step explanation:
9x+8=12x+4
Subtract 8 from both sides;
9x+8-8=12x+4-8
Simplify;
9x=12x-4
Subtract 12x from both sides;
9x-12x=12x-4-12x
Simplify;
-3x=-4
Divide both sides by -3
-3x/-3=-4/-3
Simplify;
x=4/3
In △ABC, m∠A = 15, b = 19, and c = 12. Find a to the nearest tenth.
A) 64.5
B) 16.9
C) 30.7
D) 8.0
SHOW WORK PLS
The answer is B.
Step-by-step explanation:
Yes
the first two terms of an arithmetic sequences are 7 and 3.
1.1.1 determine the eighteen term.
1.1.2 which term of the sequences Will be equal to -157?
Answer:
1.1.1) -61
1.1.2) Term 42
Step-by-step explanation:
Tn= dn (difference) + t0 (term 0)
Tn= -4n+ 11
You can now take this general rule to find out the other terms.
Tn= -4(18)+11
Tn= -61
And the term -157
Tn= -4n+11
-157= -4n + 11
-157 - 11= - 4n
-168= -4n
-168/-4= n
42= n
HELP!!———————————————
Answer:
C
Step-by-step explanation:
If I am understanding the question, it is just asking what the possible choices are, and how many of each.
99165+67894321-9872345
Answer:
58121141
Step-by-step explanation:
99165+67894321= 67993486
67993486-9872345= 58121141
"take a number x, double it and then take that result away from 10"
Write as an expression
Word Problem:
Take a number, x, double it and then take that result away from 10.
Expression:
[tex]10-(2x)[/tex]
Find the measure of exterior 1.
Answer:
90 degrees
Step-by-step explanation:
A.P.E.X
Find the approximate area of the triangle.
30 square
15 square
21 square
45 square
Answer:
A
Step-by-step explanation:
Hard to explain xD
Can someone help me? I’ll reward points + brainalist
Given that r is directly proportional to
y and inversely proportional to Z,
x= 15 when y = 10 and Z= 4, find
the equation connecting x, y and Z.
Given:
x is directly proportional to y and inversely proportional to z.
x= 15 when y = 10 and z= 4.
To find:
The equation that connecting x, y and z.
Solution:
It is given that, x is directly proportional to y and inversely proportional to z.
[tex]x\propto \dfrac{y}{z}[/tex]
[tex]x=\dfrac{ky}{z}[/tex] ...(i)
Where, k is the constant of proportionality.
We have, x= 15 when y = 10 and z= 4.
[tex]15=\dfrac{k(10)}{4}[/tex]
[tex]15\times 4=10k[/tex]
[tex]60=10k[/tex]
Divide both sides by 10.
[tex]\dfrac{60}{10}=k[/tex]
[tex]6=k[/tex]
Putting k=6 in (i), we get
[tex]x=\dfrac{6y}{z}[/tex]
Therefore, the required equation is [tex]x=\dfrac{6y}{z}[/tex].
A small college has 800 students, 10% of which are left-handed. Suppose they take an SRS of 8 students.
Let L = the number of left-handed students in the sample.
Which of the following would find P(L = 2)?
Answer:
Step-by-step explanation:
Probability of finding 2 left handed students out of 8 samples is 0.1488 or 14.88%.
What is Binomial Distribution?Binomial distribution is the distribution of a random variable X for which there are only two possibilities. The probability p for the success and the probability of 1-p for the failure, which consist of n trials.
Given,
Number of students in the college = 800
10% of which are left handed.
Probability of finding left handed student = 10% = 0.1
p = 0.1
q = 1 - 01 = 0.9
Number of samples, n = 8
We have to find P(x = 2)
The formula to calculate binomial distribution is,
P(x) = ⁿCₓ pˣ qⁿ⁻ˣ
P(x = 2) = ⁸C₂(0.1)²(0.9)⁶
= 28 × (0.1)²(0.9)⁶
= 0.14880348
≈ 0.1488
Hence the probability is 0.1488.
Learn more about Binomial Distribution here :
https://brainly.com/question/14565246
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ill mark brainlist plss help
Answer:
a
Step-by-step explanation:
Find the areas of these trapezoids
Answer:
Pink = 12 square units
Blue = 10.5 square units
Step-by-step explanation:
(2+4)/2=3
3x4=12
(2+5)/2=3.5
3.5x3=10.5
Answer:
Blue is 42 and pink is 48
Step-by-step explanation:
the squares are 2x2 which is 4 so each square is 4
pls help me i rly need help
Answer: 1 1/2 cans of paint
Step-by-step explanation:
50*59*48*14= 1982.4
So that about 1 1/2 or 2 cans.
These triangles are
congruent by the
triangle congruence
postulate [? ]
Answer:
Option A
Step-by-step explanation:
From the picture attached,
In the given triangles ABC and ADC,
m(∠B) = m(∠D) [Given]
AC ≅ CA [Reflexive property]
But in the absence of third property of congruence ΔABC and ΔADC can't be congruent.
Option A is the answer.
Help please is for now
What is the simplest form of (4x3 + 6x – 7) + (3x3 – 5x2 – 5x + 9)?
A. 7x3 – 5x2 – x + 2
B. 7x3 – 5x2 + x + 2
C. 7x3 + x2 – 5x + 2
D. 7x6 – 4x2 + 2
Answer:
The simplest form is A.
Step-by-step explanation:
Most likely, it would have the exponent, like x^2 (just an example).
Hope it helped!
Answer:
Look at picture
Step-by-step explanation:
Raul is pouring concrete
Answer:
wow-
Step-by-step explanation:
Bet he's doing a good job ;)
. You need 1/12 yard of ribbon to make one bow. You have 5/6 yard of ribbon. How many bows are you able to make with the ribbon you have? *
Answer:
You can make 14 with some ribbon left over.
Step-by-step explanation:
State the name of the figure (
9) C rhombus
10) D rectangle
11) B square
12) A square
Cheryl Wilcox is planning for her retirement, so she is setting up a payout annuity with her bank. She wishes to receive a payout of $1,500 per month for twenty years.
(a) How much money must she deposit if her money earns 8% interest compounded monthly? (Round your answer to the nearest cent.)
(b) Find the total amount that Cheryl will receive from her payout annuity.
Answer:
35h6j7jhtgr54y6htsrhr6wrttttwy
Step-by-step explanation:
A rectangle has an area of 170.2m2
One of the sides is 3.7m in length.
Work out the perimeter of the rectangle.
Answer:
here
Area = 170.2 M2
Area of rectangle = l *b
let l= 3.7m
170.2 = 3.7* b
b= 46m
now , perimeter = 2(l+b)
= 2( 3.7 + 46)
= 99.4 m
In the cylinder, the radius of the circular base is 3.5 centimeters, and the height of the cylinder is 11 centimeters. The volume of the cylinder is
Answer:
33.69[tex]\pi[/tex] or 105.83
Step-by-step explanation:
Volume for a cylinder is
V= [tex]\pi r^{2}h[/tex]
we need to find the radius from the base
B = 2[tex]\pi[/tex]r
B= 3.5/2 = 1.75
V =[tex]\pi 1.75^{2}*11[/tex]
V = 33.69[tex]\pi[/tex] or 105.83 depending if you want it in pi for or not
A school principal of 890 students needs to determine what percentage of students passed and did not pass a statewide examination. Round to the nearest percent.
If 300 students passed the exam, what percent passed the test?
Answer:
34
Step-by-step explanation:
300\890
then x100
33.70786517
round to the nearest whole number
The measure of
What is the measure of
A 115°
B 230°
C 65°
D 25°
Answer:
A) 115
Step-by-step explanation:
Straight lines = 180 degrees
180 - 65 = 115 degrees
R = 115 degrees
Hope this helped! Have a nice day, and plz mark as brainliest if correct!!!
-Lil G
Answer:
230° because i am very expert in math and this is very easy question for me so the answer is 230°
i have ask my teacher too and he told the right answer is 230°.
Create an equation for a line that is parallel to the line �� = −32�� − 5.
Answer:
can u type it again
Step-by-step explanation:
