The probability are for P(h) = 1/2, P(t) = 1/2, P(getting letter P) = 1/12, P(getting a vowel) = 1/2, P(tails then a vowel) = 1/4, P(tails then N) = 1/12, P(heads then D or I) = 1/6.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
We have a coin tossed, then a letter from the word INDIANAPOLIS is selected at random.
Probability for getting head or tell:
P(h) = 1/2
P(t) = 1/2
The word INDIANAPOLIS has 12 letters with 3I's, 2A's, 2N's, 1D's, 1P's, 1L's, 1O's, and 1S's
Probability for getting letter P:
P(getting letter P) = 1/12
P(heads, then letter P) = P(heads)×P(getting P) = (1/2)(1/12) = 1/24
P(tails) = 1/2
P(getting a vowel) = 6/12 = 1/2
P(tails then a vowel) = (1/2)(1/2) = 1/4
P(tails then N) = (1/2)(2/12) = 1/12
P(heads then D or I) = (1/2)(4/12) = 4/24 = 1/6
Thus, the probability are for P(h) = 1/2, P(t) = 1/2, P(getting letter P) = 1/12, P(getting a vowel) = 1/2, P(tails then a vowel) = 1/4, P(tails then N) = 1/12, P(heads then D or I) = 1/6.
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A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 429.0429.0 gram setting. It is believed that the machine is underfilling the bags. A 4040 bag sample had a mean of 425.0425.0 grams. A level of significance of 0.020.02 will be used. Determine the decision rule. Assume the standard deviation is known to be 11.011.0.
Answer:
A 4040 bag sample 25.0425.0 grams. A level of significance of 0.020.02
the decision rule. Assume the standard deviation is known to be 11.011.0.
Step-by-step explanation:
solve the questions bellow
Answer:
1. 29.67°
2. 68.96°
3. 89.85°
Step-by-step explanation:
1. Reference angle = x
Opposite = 45 cm
Adjacent = 79 cm
Therefore:
[tex] tan(x) = \frac{45}{79} [/tex]
[tex] tan(x) = 0.569620253 [/tex]
[tex] x = tan^{-1}(0.569620253) [/tex]
[tex] x = 29.67 [/tex] (nearest hundredth)
2. Reference angle = B
Opposite = 14
Hypotenuse = 15
Therefore:
[tex] sin(B) = \frac{14}{15} [/tex]
[tex] sin(B) = 0.93333 [/tex]
[tex] B = sin^{-1}(0.93333) [/tex]
[tex] B = 68.96 [/tex] (nearest hundredth)
3. Reference angle = x
Adjacent = 238,900 mi
Hypotenuse = 92,955,807 mi
Therefore:
[tex] cos(x) = \frac{238,900}{92,955,807} [/tex]
[tex] x = cos^{-1}(\frac{238,900}{92,955,807}) [/tex]
[tex] x = 89.85 [/tex] (nearest hundredth)
Write the given percent of increase or decrease as a growth factor.
7% Increase
a.1.7
c. 7.1
c.1.007
d.1.07
Answer: D
Step-by-step explanation:
2/3 of a yard = ______ inches
Answer:
24 inches
Step-by-step explanation:
you're welcome
Find the missing angle.
Answer:
75
Step-by-step explanation:
All the angles would add up to 360
145+55+35+55=285
Then:
360-285=75
>ZUW=75
Jack is shopping. Last week he bought $10 of groceries and ended up paying $10.07 after taxes. This week he's buying $15 of groceries. If the tax rate remains the same, how much will he end up paying after taxes?
Answer:
16.05
Step-by-step explanation:
first I realized 7 cents is .07% of 10 the I multiplied .07 times 15 then I added them up and got the answer
Question 9 Multiple Choice Worth 1 points) (03.01 MOO) 13 Simplify
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{\frac{ \sqrt[4]{ \\ 3} }{ \sqrt[5]{3} } }[/tex]
Note : For a problem like this, all we have to do is Rewrite the problem in exponential form to give us an answer of :
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{ {_3}\cfrac{1}{20} }[/tex]
[tex]\therefore[/tex]The correct part of the problem is A) [tex] \bold{ {_3}\cfrac{1}{20} }[/tex]
Identify what property is 17 + 54 + 6?
Identity property
distributive property
commutative property
associative property
Does changing the compound inequality x>-3 and x<3 from and to or change the solution set? Explain
Answer:
So the answer is
Step-by-step explanation:
x)2943
Answer:The x values of the “and” inequality satisfy both inequalities.
The x values of the “or” inequality satisfy one or both inequalities.
Changing the compound inequality from “and” to “or” changes the solution set from the values between –3 and 3 for all real numbers.
Step-by-step explanation:
that's all u need
Question 3
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B0/2 pts
A friend has a 81% average before the final exam for a course. That score includes everything but
the final, which counts for 20% of the course grade.
What is the best course grade your friend can earn?
What is the minimum score would your friend would need on the final to earn a 75% for the course?
Give answers accurate to at least one decimal place.
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Answer:
The best course grade your friend can earn is 0.848 = 84.8%.
The minimum score would your friend would need on the final to earn a 75% for the course is of 0.51 = 51%.
Step-by-step explanation:
This is a weighed average problem, in which we multiply each grade by its weight.
We have that:
In 80% of the course, the friend has a grade of 81%.
In the other 20%, he will have x.
What is the best course grade your friend can earn?
This will happen if he earns 100% = 1 on the final test. So
[tex]G = 0.8*0.81 + 0.2*1 = 0.848[/tex]
The best course grade your friend can earn is 0.848 = 84.8%.
What is the minimum score would your friend would need on the final to earn a 75% for the course?
This is x, when the grade is 0.75. So
[tex]0.75 = 0.8*0.81 + 0.2x[/tex]
[tex]0.2x = 0.75 - 0.8*0.81[/tex]
[tex]x = \frac{0.75 - 0.8*0.81}{0.2}[/tex]
[tex]x = 0.51[/tex]
The minimum score would your friend would need on the final to earn a 75% for the course is of 0.51 = 51%.
Need as soon as possible
Answer: 136 square feet
=======================================================
Explanation:
The front face is a triangle with base 6 and height 4.
The area is 0.5*base*height = 0.5*6*4 = 12 square feet
The back face is also 12 square feet since the front and back faces are identical triangles.
So far we have 12+12 = 24 square feet of surface area.
--------------------
The bottom face, that runs along the floor or ground, is a rectangle that is 6 ft by 7 ft. So we have 6*7 = 42 square feet of surface area here. This adds onto the 24 we found earlier to get 24+42 = 66 square feet so far.
To find the left and right upper faces, we'll need to find the length of the hypotenuse first. The 6 ft cuts in half to 3 ft. The right triangle on the left has side lengths of 4 ft and 3 ft as the two legs. Use the pythagorean theorem to find the hypotenuse is 5 ft. We have a 3-4-5 right triangle.
This means the upper left face is 5 ft by 7 ft leading to an area of 5*7 = 35 square feet. The same can be said about the upper right face.
So we add on 35+35 = 70 more square feet to the 66 we found earlier to get a grand total of 70+66 = 136 square feet of surface area.
Brainly please help I been asking
Answer:
114
Step-by-step explanation:
break apart the shape into 2 smaller shapes and you'll get 15 and 4 for the 1st shape multiply them and you'll get 60. Then for the second shape you'll get 6 and 9 multiply them and you'll get 54. Last add them together and you get 114. (Sorry if I get it wrong)
Ivan has 6 times as many blue beads as red beads. he has 49 red and blue beads in all. how many blue beads does Ivan have
Answer:
Ivan has 42 blue beads.
Step-by-step explanation:
We need to find how many blue beads Ivan has.
Blue beads = 6 times as many as red beans
b = 6r
r + b = 49
r + (6r) = 49
7r = 49
Divide both sides by seven to isolate r
r = 7
b = 6(7)
b = 42
Please solve the question below 4
Answer:
The answer is C
Step-by-step explanation:
The graph has a normal distribution, mean at 3.6, and a standard deviation of 0.6
Answer:
the Correct Answer Is c
Step-by-step explanation:
PLZ PLZ PLZ MARK AS BRAINLIEST LOL PLZ
find the product of (−x−3)(2x2+5x+8)
what is the circumference of a 12mm circle
Answer:
The circumference is 37.7 mm.
{[(9 + 5) ÷ 7] - 2} x [4 x (25 – 20)]
Answer:
The answer is 0.
Step-by-step explanation:
solve 9+5=14
14/7=2
2-2=0
solve the pther side
25-20=5
4*5=20
0*20=0
Rewrite the following without an exponent. 6^-2
Please answer ASAP!
Answer:
Rewriting [tex]6^{-2}[/tex] without an exponent we get [tex]\mathbf{\frac{1}{36}}[/tex]
Step-by-step explanation:
We need to rewrite the following without an exponent. [tex]6^{-2}[/tex]
We need to solve the exponent to find the result.
We know the exponent rule: [tex]a^{-b}=\frac{1}{a^b}[/tex]
Now using this rule to solve the equation:
[tex]6^{-2}\\=\frac{1}{6^2}\\We \:know \:that\:6^2 = 6\times 6=36\\=\frac{1}{36}[/tex]
So, Rewriting [tex]6^{-2}[/tex] without an exponent we get [tex]\mathbf{\frac{1}{36}}[/tex]
Monty bought a small swimming pool, as shown below, for his Labrador
puppy. He fills the pool halfway to the top. If one cubic foot of water is
approximately 7.5 gallons of water, about how many gallons of water will
be in the pool?
6 ft
2 ft
Answer:
It would be 45 gallons for 6ft
15 gallons for 2 feet
Step-by-step explanation:
PLEASE HELP!!!!!! I will give points
Answer:
Of the basketball players on the team, exactly 75% of the players have heights above 180
Step-by-step explanation:
So, they are 12 basketball players in total
1 - 170 - This is 1/12
2 - 175 - This is 1/6
1 - 180 - This is 1/12
4- 185 - This is 1/3
3 - 190 - This is 1/4
1 - 195 - This is 1/12
75% (Or 3/4) have heights above 180
Therefore, the answer is B
A stockbroker knows from experience that the probability that a client owns stocks is 0.60. P(A) The probability that a client owns bonds is 0.50. P(B) The probability that the client owns bonds if he/she already owns stock is 0.55 What is the probability of a client owning stocks OR bonds
Answer:
the probability of a client owning stocks OR bonds is 0.825
Step-by-step explanation:
The computation of the probability of a client owning stocks OR bonds is given below:
= P(stocks) + P(bonds) - P(stocks and bonds)
= 0.60 + 0.50 - (0.55 × 0.50)
= 0.60 + 0.50 - 0.275
= 0.825
Hence, the probability of a client owning stocks OR bonds is 0.825
Find the sum of 2x2 – 8x — 6 and 9x2 – 8.
Answer:
Submit Answer
Answer:f
( x ) = x , g ( x ) = x 3 − 1 f ( x ) = x 4 + x 3 − 11 x 2 − 5 x + 30 , g ( x ) = 2 x − 2 f ( x ) = x 2 , g ( x ) = 7 x − 1
in short ways the answer is 7 x − 1
Hence , the sum is [tex]11x^2-8x-14[/tex].
WHAT IS A POLYNOMIALIn mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
How to Solve?Given , we need to add [tex]2x^2-8x-6[/tex] and [tex]9x^2-8[/tex].
So, we can write it as :
[tex]2x^2 -8x-6+9x^2-8[/tex]
Writing like terms together:
[tex]= 2x^2+9x^2-8x-6-8[/tex]
[tex]=11x^2-8x-14[/tex]
Hence , the answer is [tex]11x^2-8x-14[/tex].
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A game of chance involves spinning a wheel with 4 number on it. The wheel is designed so that the result of each spin Xhas the following probability distribution. 2 3 Result of a spin .x Probability : 0.50
(a) Find and interpret the mean of X.
(b) Find and interpret the standard deviation of x.
(c) It costs a player $5 for a single spin. The player will receive (in dollars) three times the number that appears. So the profit for one play of this game is Yeur 5. What is the mean and standard deviation of 7
Distribution table :
X : ___ 1 _____ 2 _____ 3 ______ 4
P(x) __0.50 __0.25 __ 0.15 ____ 0.10
Answer:
1.85 ; 1.014 ;` 0.55 ; 3.042
Step-by-step explanation:
Probability distribution :
X : ___ 1 _____ 2 _____ 3 ______ 4
P(x) __0.50 __0.25 __ 0.15 ____ 0.10
The mean: E(x) = Σ(X * p(x))
(1*0.5) + (2*0.25) + (3*0.15) + (4 *0.10)
= 1.85
Standard deviation = sqrt(Var(x))
Var(x) = Σ(x²*p(x)) - E(x)²
Var(x) = ((1^2*0.5) + (2^2*0.25) + (3^2*0.15) + (4^2 *0.10)) - 1.85^2
= 4.45 - 3.4225
= 1.0275
Standard deviation = sqrt(1.0275)
Standard deviation = 1.0136567
Standard deviation(X) = 1.014
3.)
Cost of spin = $5
Amount, y to be received = 3 times the number that appears
y = 3x - cost of playing
y = 3x - 5
E(y) = E(3x - 5)
E(y) = E(3x) - 5
Recall :E(x) = 1.85
E(y) = 3(1.85) - 5
E(y) = 0.55
Standard deviation :Sd(y) =
Sd(3x - 5)
3(1.014)
= 3.042
Solve number 8 (geometry)
Answer:
x = 50
Step-by-step explanation:
the word bisects means that it cuts in half (this is how I understand it, not the official definition :D)
so that means
[tex]\angle XAB =\angle BAY\\\\2x=100\\\\x=50[/tex]
(2x-4)+(5x-13)+(x+4)
Answer:
the answer is going to be 8x-13
Answer:
8x-13
Step-by-step explanation:
Combine all like terms
2x+5x+x=8x
-4-13+4=-13
8x-13
A flower garden has 3 red rose bushes, 2 yellow rose bushes, and 5 white
rose bushes. What is the ratio of yellow rose bushes to the total number
of rose bushes?
A 1:5
B. 1:4
C. 2:5
D. 2:4
Two sides of a triangle have the same length. The third side measures 6 m less than twice the common length. The perimeter of the triangle is 14 m. What are the lengths of the three sides?
What is the length of the two sides that have the same length?
Answer: 5
Step-by-step explanation:
x = common side length
2x + (2x - 6) = 14
4x - 6 = 14
4x = 20
x = 5
_____consists of activities that are
not required as part of one's formal
role in the organization
Select one:
a. None of the above
b. Lobbying
c. Influence
d. Political behaviour
= Political behaviour
Step-by-step explanation:
political behaviour consists of activities that are
not required as part of one's formal
role in the organization
xy^2-x^2y
x= -1
y= -2
Answer:
xy(x-1y)
Step-by-step explanation:
xy^2-x^2y
=solution,
taking common
xy(x-1y)
I WILL GIVE BRAINLIST AND 50 POINTS
The students in a class made graphs to keep track of the number of pages they read in their books.
Which graph shows a proportional relationship?
A.
B.
C.
D.
Step-by-step explanation:
A proportional relationship graph would show that the points can be arranged in a line that passes through the origin.
All of the points in Graphs B, C and D cannot be connected in 1 straight line, hence they are not proportional relationships.
Only Graph A shows a proportional relationship.
Answer:
a
Step-by-step explanation:
