Answer:
[tex]Probability = \frac{70}{143}[/tex]
Step-by-step explanation:
Given
[tex]Black = 5[/tex]
[tex]Red = 8[/tex]
[tex]Total = 13[/tex]
To solve the required probability, we need to determine the number of available selections:
There are two possible scenarios;
1: All 4 selections are red.
2. 1 selection is black, while 3 others are red
Scenario 1: All Red
[tex]^8C_4 = \frac{8!}{(8-4)!4!}[/tex]
[tex]^8C_4 = \frac{8!}{4!4!}[/tex]
[tex]^8C_4 = \frac{8*7*6*5*4!}{4!4!}[/tex]
[tex]^8C_4 = \frac{8*7*6*5}{4!}[/tex]
[tex]^8C_4 = \frac{8*7*6*5}{4*3*2*1}[/tex]
[tex]^8C_4 = \frac{1680}{24}[/tex]
[tex]^8C_4 = 70[/tex]
Scenario 2: 1 Black, 3 Red
Selecting Black:
[tex]^5C_1 = \frac{5!}{(5-1)!1!}[/tex]
[tex]^5C_1 = \frac{5!}{4!1!}[/tex]
[tex]^5C_1 = \frac{5*4!}{4!*1}[/tex]
[tex]^5C_1 = 5[/tex]
Selecting Red:
[tex]^8C_3 = \frac{8!}{(8-3)!3!}[/tex]
[tex]^8C_3 = \frac{8!}{5!3!}[/tex]
[tex]^8C_3 = \frac{8*7*6*5!}{5!3*2*1}[/tex]
[tex]^8C_3 = \frac{8*7*6}{6}[/tex]
[tex]^8C_3 = 8*7[/tex]
[tex]^8C_3 = 56[/tex]
Number of Selection = 5 * 56
[tex]Selection = 280[/tex]
Total Available Selection is calculated as thus:
[tex]Available\ Selection = 70 + 280[/tex]
[tex]Available\ Selection= 350[/tex]
Next, is to calculate the number of possible selections:
i.e 4 balls out of 13
This is calculated as:
[tex]^{13}C_4 = \frac{13!}{(13-4)!4!}[/tex]
[tex]^{13}C_4 = \frac{13!}{9!4!}[/tex]
[tex]^{13}C_4 = \frac{13 * 12 * 11 * 10 * 9!}{9!4*3*2*1}[/tex]
[tex]^{13}C_4 = \frac{13 * 12 * 11 * 10}{4*3*2*1}[/tex]
[tex]^{13}C_4 = \frac{17160}{24}[/tex]
[tex]^{13}C_4 = 715[/tex]
[tex]Probability = \frac{Available\ Selection}{Possible\ Selection}[/tex]
[tex]Probability = \frac{350}{715}[/tex]
[tex]Probability = \frac{70}{143}[/tex]
someone help it’s due in a couple of min
Answer: A $5800
Step-by-step explanation:
His parents cover 9100+ the scholarship for 3300=12400
1. Which of the given equations are linear?
Members of a youth group held a bake sale to raise money for their summer trip. They sold 30 cakes, 40 pies, and 200 giant cookies, and raised a total of $684.50. The price for a pie was $2.00 less than the price of a cake. The price of a cake was 5 times as much as the price for a giant cookie. Find the price for each item at the bake sale
Answer: Cost of a giant cookies = $1.39
Cost of a cake= $6.95
Cost of a pie= $4.95
Step-by-step explanation:
Let price of a giant cookie = x
Then,
price of a cake = 5x
Price of a pie = 5x-2
Cost of 30 cakes, 40 pies, and 200 giant cookies = 30 (5x)+40(5x-2)+200x
= 150x+200x-80+200x [By distributive property a(b+c)=ab+ac]
= 550x-80
Given cost = $684.50
[tex]\Rightarrow\ 550x-80=684.50\\\\\Rightarrow\ 550x= 684.50+80[/tex]
[tex]\Rightarrow\ 550x=764.50\\\\\Rightarrow\ x=\dfrac{764.50}{550}\\\\\Rightarrow\ x=1.39[/tex]
Cost of a giant cookies = $1.39
Cost of a cake = 5 x $1.39 = $6.95
Cost of a pie = $6.95 - $2 = $4.95
Which of the following are factors of 12?
1 And 12
2 And 6
3 And 4
Answer:
id just learned this a month ago so i think its 2 and 6 i hope u get 100!
Step-by-step explanation:
Answer:
All three are correct.
Step-by-step explanation:
1x12 is 12, so #1 is correct.
2x6 is 12, so #2 is correct.
3x4 is 12, so #3 is correct.
ILL LITERALLY GIVE U 100 POINTS
I NEED THIS TURNED IN BY 3 EST.
Salim added 1 g of salt to each of four
beakers filled with water. He stirred the
water at different speeds and recorded how
long it took for the salt to dissolve.
Time (sec)
25
Stirring
No stirring
Slow stirring
Medium stirring
18
10
Fast stirring
6
Based on evidence in the table, what claim
should Salim make?
(F
G
Salt will not dissolve in water unless
the water is stirred.
Stirring water increases the rate at
which a salt dissolves.
Stirring water decreases the rate at
which a salt dissolves.
Stirring has no effect on the rate at
which a salt dissolves.
H Н
Answer:
Stirring water increases the rate at
which a salt dissolves.
Step-by-step explanation:
The stirring allows fresh solvent molecules to continually be in contact with the solute.
Suppose a local manufacturing company claims their production line has a variance of less than 9.0. A quality control engineer decides to test this claim by sampling 35 parts. She finds that the standard deviation of the sample is 2.12. Is this enough evidence at the 1% level of significance, to accept the manufacturing companies claim? Calculate the appropriate test statistic (round to 2 decimal places as needed)
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to accept the manufacturing company claims
Step-by-step explanation:
From the question we are told that
The sample size is n = 35
The sample standard deviation is [tex]s = 2.12[/tex]
The level of significance is [tex]\alpha = 0.01[/tex]
The null hypothesis is [tex]H_o : \sigma ^2 = 9.0[/tex]
The alternative hypothesis is [tex]H_a : \sigma ^2 < 9.0[/tex]
Gnerally the test statistics is mathematically represented as
[tex]X^2 _{stat} = \frac{(n -1) * s^2 }{\sigma^2 }[/tex]
[tex]X^2 _{stat} = \frac{(35 -1) * 2.12^2 }{9 }[/tex]
=> [tex]X^2 _{stat} = 16.98[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n - 1[/tex]
=> [tex]df = 35 - 1[/tex]
=> [tex]df = 34[/tex]
From the chi - distribution table the critical value of [tex]\alpha[/tex] at a degree of freedom of [tex]df = 34[/tex] is
[tex]X^2_{\alpha, 34 } =56.060[/tex]
From the value obtained we see that the test statistics does not lie within the region of rejection (1.e 56.060 , [tex]\infty [/tex] )
Then
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to accept the manufacturing company claims
A veterinarian gives 3/8ML of vitamins to a baby animal Every day. The veterinarian wants to know how many days worth of vitamins she has if she has 3 3/4 ML of vitamins. Which division expression represents the situation
Answer:
sup
Step-by-step explanation:
which point is on her graph? A. (1, 10) B. (22, 3) C. (6, 34) D. (2, 20)
Answer:
There is no picture
Step-by-step explanation:
I wanted to help but i cant
Answer:Its D
Step-by-step explanation: (6, 34)
What is the standard form of the equation of a line that passes through
(2,0) and (0,-5)?
P=$4130,r=?,t=155 days, I=$115.58
Answer:
r = 6.5902%
Step-by-step explanation:
I = Prt
since the time is in days, it needs to be converted to years.
t = 155/365 = 0.424658
115.58 = (4130) r (0.424658)
115.58 = 1753.8045 r
115.58/1753.8054 = r
0.065902 = r
then, converting r decimal to a percentage
r = 0.065902 x 100 = 6.5902 %
You are going to make 5 assemblies, where each assembly requires the use of 1 Type A Bolt. You have a container of bolts that consists of 20 Type A bolts, 20 Type B bolts, and 20 Type C bolts. At random, you take 10 bolts out of the container. Determine: A) The probability you took the exact number of Type A bolts you need for your 5 assemblies. B) The probability you did not take enough Type A bolts that you need for your 5 assemblies. C) The probability you took more Type A bolts than you need for your 5 assemblies.
Answer:
Step-by-step explanation:
You are to make 5 assemblies.
Each assembly requires the use of 1 Type A bolt.
To make the 5 assemblies, you need 5 Type A bolts.
The container of bolts has a total of 60 bolts.
The focus - Type A bolts - is 20 out of this 60.
The probability of obtaining a Type A bolt at all, is 20/60, which is = 1/3
(A) What is the probability of taking the exact number of Type A bolts you need for your 5 assemblies, if you randomly take 10 bolts from the container?
- The exact number of Type A bolts you need for the 5 assemblies is 5
1/3 × 5/10 = 5/30 = 1/6 = 0.167
(B) What is the probability of taking/having less than 5 Type A bolts out of the randomly selected 10 bolts? The solution is to sum up the following:
1/3 × 4/10 = 0.133
1/3 × 3/10 = 0.1
1/3 × 2/10 = 0.067
1/3 × 1/10 = 0.033
1/3 × 0/10 = 0
TOTAL = 0.333
How do you do this question? And why is the answer E and not A?
Step-by-step explanation:
The answer should be A.
We can start with the fact that x = cos t, y = sin t traces the unit circle counterclockwise once every 2π radians, starting at (1, 0).
By starting at t = π instead of t = 0, we move the starting point to (-1, 0) without changing the direction.
All 5 options have the correct starting point (except D) and number of rotations, but only option A is counterclockwise.
2⋅(5^8/5^5)
its making me add extra words
Answer:
250
Step-by-step explanation:
1. Simplify the expression to 2 x 5^3.
2. Evaluate the power (125)
3. Solve 2 x 125
One-eight of class graduated with a A average, 1/2 got a B, and the rest of the class had a C average. In a class of 800, how many had C average?
Answer:
3/8
Step-by-step explanation:
1/8 got a A
1/2 got a B
1/2 is = to 4/8
4/8 + 1/8 = 5/8
1(8/8) - 5/8 = 3/8
X Problem P5-9 (similar to)
Question Help
Based on the after-tax retums, at what federal tax rate (as shown in Chapter 4) is an investor better off choosing a tax-exempt 7 16 percent municipal bond over a
taxable 10.39 percent corporate bond?
The after-tax retum on the corporate bond when the tax rate is 10% is %
Answer:
The after-tax rate for the Corporate Bond when the tax rate is 10% is 9.35%
Step-by-step explanation:
The investor is better of at any rate above 30%, i.e 31% of tax rate would give the investor 7.1691% return ( 10.39 − ( 10.39 ⋅ 31 % ) )
Thus the return from the tax exempt municipal bond would be higher than the return from the taxable corporate bond.
The after-tax rate for the Corporate Bond when the tax rate is 10% is 9.35%( 10.39 − ( 10.39 ⋅ 10 % ) )
Question 1 of 10
On a timeline, a milestone 6 years in the future will be to the
of a
milestone 3 years in the future and to the
of a milestone 12 years
in the future.
O A. right; right
O B. left; left
C. right; left
D. left; right
Answer: right, left
Step-by-step explanation:
10 - 4v = -2 - 4(-3 + v)
Answer:
All real numbers are solutions.
Step-by-step explanation:
Let's solve your equation step-by-step.
10−4v=−2−4(−3+v)
Step 1: Simplify both sides of the equation.
10−4v=−2−4(−3+v)
10+−4v=−2+(−4)(−3)+(−4)(v)(Distribute)
10+−4v=−2+12+−4v
−4v+10=(−4v)+(−2+12)(Combine Like Terms)
−4v+10=−4v+10
−4v+10=−4v+10
Step 2: Add 4v to both sides.
−4v+10+4v=−4v+10+4v
10=10
Step 3: Subtract 10 from both sides.
10−10=10−10
0=0
Find the value of g when 5g+15 equals 2g+27 . Use pencil and paper. Explain how you can check that the value you found for g is correct. If your check does not work, does that mean that your result is incorrect? Explain.
Answer:
its b
Step-by-step explanation:
3.1 plus 7.4 plus 6.9
Answer: 17.4
Step-by-step explanation:
There isn't much to it... it's basic addition.
I guess if you were not using a calculator you would set it up like this:
3.1
+7.4
+6.9
---------
17.4
Answer:
17.4
Step-by-step explanation:
if you estimate all of these you get 3,7, and 7, these(added together) are 17,
I dont understand this.
Answer:
88% left to consume
Step-by-step explanation:
880 of 1000
88/100
percentages are out of 100
so you can just divide both sides by 100, or take away the extra zero
let me know if you need further guidance ;)
. $19 purse; 25% discount
Answer:
$14.25
Step-by-step explanation:
First write 25% as a decimal by dividing by 100.
[tex]\frac{25}{100}[/tex] = .25
Now multiply the cost of the purse by the discount.
$19 x .25 = $4.75
That is the discount, now subtract the discount from the original price of the purse.
$19 - $4.75 = $14.25
CERTAIN ANSWERS!!! Please assist me! I will award you brain crown! Thank you in advance:))
Answer:
See below.
Step-by-step explanation:
Statements: Reasons:
1) [tex]\angle 2\cong\angle 3[/tex] Given
2) [tex]m\angle2=m\angle 3[/tex] Definition of Congruence
3) [tex]\angle 1\text{ and } \angle 2\text{ form a linear pair}[/tex] Given
4) [tex]\angle 1 \text{ and } \angle 2\text{ are supplementary}[/tex] Supplement Theorem
5) [tex]m\angle 1+m\angle 2=180^\circ[/tex] Definition of Supplementary Angles
6) [tex]m\angle 1+m\angle 3=180&^\circ[/tex] Substitution
7) [tex]\angle 1\text{ and } \angle 3 \text{ are supplementary}[/tex] Definition of Supplementary
And we're done!
Solve for u.
8u+ 33 =-7(u-9)
Simplify your answer as much as possible.
u =
8
Х
?
Answer:
u=2
Step-by-step explanation:
8u+ 33 =-7(u-9)
Distribute
8u+ 33 =-7u+63
Add 7u to each side
8u+33+7u = -7u+63+7u
15u+33 = 63
Subtract 33 from each side
15u +33-33 = 63-33
15u = 30
Divide each side by 15
15u/15 = 30/15
u =2
Answer & Step-by-step explanation:
- 22 = -8u + 6(u-7)
-22 = -8u + 6u - 42
8u - 6u = 22 - 42
2u = -20
u = -20/2
u = -10
Raul jogs around a rectangular lake twist every day that is 1250 meters long and 695 meters wide how many meters will be jog each day
(4p^4)^2 without exponents
Answer:
(4p x 4) x 2 = 16p x 2 = 32p
Step-by-step explanation:
The required simplification is (4p⁴)² = 256p⁸.
What are the rules of exponents?Some of the rules of exponents are as follows,
The product of two exponents having the same power is equal to the power of their base multiplied.
The product of two exponents having the same base is equal to the sum of the powers of different exponents to the same base.
The given expression is as below,
(4p⁴)²
Without using the exponents the given expression can be simplified as follows,
The power to any number simply means that the number will be multiplied to itself as many number of times. this basic rule is used to obtain result as,
(4p⁴)²
= (4p × 4p × 4p × 4p)²
= (16p⁴)²
= 16p⁴ × 16p⁴
= 256 × (p × p × p × p × p × p × p × p)
= 256p⁸
Hence, the given expression can be simplified as 256p⁸.
To know more about exponents click on,
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The graph of a linear function is shown on the grid. What is the rate of change of y with respect to x for this function? Please hurry it’s urgent Thank you
Answer:
[tex] -0.2 [/tex]
Step-by-step explanation:
Given:
(-3, 3.6);
(5, 2)
Required:
Rate of change
SOLUTION:
Rate of change for the function is given as [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex].
Let,
[tex] (-3, 3.6) = (x_1, y_1) [/tex]
[tex] (5, 2) = (x_2, y_2) [/tex]
Rate of change = [tex] \frac{2 - 3.6}{5 - (-3)} [/tex]
[tex] = \frac{-1.6}{8} [/tex]
[tex] = -0.2 [/tex]
The rate of change of y with respect to x for this function is -0.2
Given :
The graph of a linear function is shown on the grid
To find the rate of change of y with respect to x , we need to pick two points from the graph
Two points are (-3,3.6) and (5,2)
Lets apply slope formula to find out rate of change
[tex]slope =\frac{y_2-y_1}{x_2-x_1}\\slope =\frac{2-3.6}{5+3} \\slope = -0.2[/tex]
The rate of change of y with respect to x for this function is -0.2
Learn more : brainly.com/question/24930128
I need help with this geometry question
Answer:
A=82
b=71
c=71
d=54
e=44
f=109
g=73
A nursery owner buys 7 panes of glass to fix some damage to his greenhouse. The 7 panes cost $17.15. Unfortunately,he breaks 2 more panes while repairing the damage. What is the cost of another 2 panes of glass?
Answer:
$4.90
Step-by-step explanation:
17.15 / 7= 2.45
2.45*2=4.9
the cost of another two pains of glass is $4.90
what is 4/3 divided by 5/3
Answer:
4/5
Step-by-step explanation:
4/3 ÷ 5/3
Copy dot flip
4/3 * 3/5
Rewriting
4/5 * 3/3
4/5
Answer:
Step-by-step explanation:
The answer is 0.8
1/3j =9
A.)27
B.)9
C.)3
D.)4