Answer:
a
[tex]P(X = 4) = 0.31599[/tex]
b
[tex]P(X \ge 2) = 0.9921 [/tex]
Step-by-step explanation:
From the question we are told that
The proportion in favor of carbon tax is [tex]p = 0.72[/tex]
The sample size is n = 6
Generally the distribution of poll follows a binomial distribution
i.e
[tex]X \~ \ \ \ B(n , p)[/tex]
and the probability distribution function for binomial distribution is
[tex]P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}[/tex]
Here C stands for combination hence we are going to be making use of the combination function in our calculators
Generally the probability that the number answering in the affirmative is 4 is mathematically represented as
[tex]P(X = 4) = ^{6}C_4 * (0.72)^4 * (1- 0.72)^{6-4}[/tex]
=> [tex]P(X = 4) = 0.31599[/tex]
Generally the probability that the number answering in the affirmative is At least two is mathematically represented as
[tex]P(X \ge 2) = 1 - P( X < 2 ) [/tex]
[tex]P(X \ge 2) = 1- [ P(X = 0 ) + P( X = 1)] [/tex]
=> [tex]P(X \ge 2) = 1- [ [ 1 * 1 * 0.00048 ]+ [ 6 * 0.72 * 0.00172] [/tex]
=> [tex]P(X \ge 2) = 1- [ 0.00791 ] [/tex]
=> [tex]P(X \ge 2) = 0.9921 [/tex]
A cat’s heart beats approximately 45 times in 15 seconds. At this rate how many times does the cat’s heart beat per second?
Answer:
3 beats per second
Step-by-step explanation:
45÷15
Cat’s heart will beat 3 times per second.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a cat’s heart beats approximately 45 times in 15 seconds. The number of times a Cat's heartbeat in a second will be calculated as:-
15 seconds = 45 beats
1 second = 45 / 15
1 second = 3 beats
Therefore, Cat’s heart will beat 3 times per second.
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Circle R is shown. Line segments Q R and S R are radii. The length of Q R is 18. Sector Q R S is shaded.
The measure of central angle QRS is StartFraction 8 pi Over 9 EndFraction radians.
What is the area of the shaded sector?
36Pi units squared
72Pi units squared
144Pi units squared
324Pi units squared
The area of the sector in circle R is: C. 144Pi units squared
How to Find the Area of a Sector of a Circle?Area of sector = (1/2) × r²θ.
Given the parameters:
θ = 8π/9Radius (r) = 18Plug in the values
Area of sector = (1/2) × (18²)(8π/9)
Area of sector = 144π units²
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what is the equation of the line through the origin and (3, 4)?
Answer:
y=3x+4
Step-by-step explanation:
Hope this works
Harlee uses a device to convert her electronic textbook into braille. Unfortunately, the textbook did not include text descriptions of the diagrams, and 2/3 of the pages have diagrams. Let N be the number of pages Harlee reads to reach the first page with a diagram. Assume that the probability of each page having a diagram is independent. Find the mean and standard deviation of N. Round your answers to one decimal place.
Answer:
Mean: 1.5
Standard Deviation: 0.9
Step-by-step explanation:
2/3 of the pages have diagrams, and N is the number of pages Harlee reads to reach a page with a diagram. In order to find the mean, divide 1/(2/3) to get 1.5 as your mean, and then divide sqrt(1-(2/3))/2/3 to get .8660, which rounds to .9.
Now that you’ve created your hypotheses, it’s time to prove them. First, look at the sum of two rational numbers. Let’s say they are two rational numbers, x and y. Because they’re rational, they can be written as a ratio of integers. Let x = and y = , where a, b, c, and d are integers and b and d do not equal 0. The process for finding the sum x + y in terms of a, b, c, and d is shown. Statement Reason substitution Create common denominators. Simplify. Based on this sum and using the closure property of integers, what conclusion can you make about the sum of two rational numbers? Explain your answer.
The question is missing parts. Here is the complete question.
Now that you've created your hypotheses, it's time to prove them. First look at the sum of two rational numbers. Let's say they are two rational numbers, x and y. Because they're rational, they can be written as a ratio of integers. Let [tex]x=\frac{a}{b}[/tex] and [tex]y=\frac{c}{d}[/tex], where a, b, c and d are integers and b and d do not equal 0. The process for finding the sum x + y in terms of a, b, c and d is shown in the figure below.
Based on the sum and using the closure property of integers, what conclusion can you make about the sum of two rational numbers? Explain your answer.
Answer: The sum of two rational numbers equals a rational number.
Step-by-step explanation: Rational number is defined as a number that can be made by dividing two integers.
Closure Property of Integers states the sum or subtraction of two integers always gives an integer.
Using the definition of rational and expanding the property, we can conclude that the sum of two rational numbers will result in a rational number, as demonstrated in the table below.
1. At Store A, the price for pineapples is $5.00 for 2 pineapples.
2. At Store B, the price for pineapples is $8.00 for 4 pineapples.
Which store is offering the lower price per pineapple? Show your work or explain your answer.
Answer:
Store B
Step-by-step explanation:
If you divide 5 by 2, you get the unit price for Store A which is $2.50.
If you divide 8 by 4, you get the unit price for store B which is $2.00
Store B has a lower unit price than store A therefore Store B is offering the lower price per pineapple.
The drama club has 14 members. They need to raise $952.00 to attend a play at the Fox Theater. They already have $126 in their account. What is the least amount of money each student needs to raise in order to go to the play?
A. m ≥ 59
B. m ≥ 60
C. m ≥ 64
D. m ≥ 68
PLEASE HELP FAST!!!!!
Answer:
A. m ≥ 59
Step-by-step explanation:
When multiplying more than two integers, describe how you know the sign of the product
Answer:
The number of negative integers given determines the sign of the product.
Step-by-step explanation:
The sign of the product could either be negative or positive. This depends on the number of negatively directed integers in the given integers to be multiplied. Since all integers are directed numbers i.e either positive whole numbers or negative whole numbers.
Thus to know the sign of the product, if the number of negative integers is even, then the product would be positive. But if the number of negative integers is odd, the product would be negative.
Therefore, the number of negative integers given determines the sign of the product.
Help, i will do brailiest and everything!!!
a) Four gallons of water weigh 33.4 lb
How much do 7.5 gallons of water weigh?
b) Four gallons of water weigh 33.4 lb
Find the constant of variation.
Answer: a) 62.591 lb b) 7.5
Step-by-step explanation:
Answer:
a) 62.625 lb
b) 8.35
Step-by-step explanation:
a) Use a proportion.
4 gal is to 33.4 lb as 7.5 gal is to x lb.
4/33.4 = 7.5/x
4x = 33.4 * 7.5
4x = 250.5
x = 62.625
Answer: 62.625 lb
b) 33.4/4 = 8.35
Tada!!!!!
Simplify the given expression. Write your answer with positive exponents.
(See picture below to see problem)
Answer:
heres your answer
Step-by-step explanation:
here you go miss.
Find the circumference of a circle with a radius of 19 inches. Give an exact answer.
Provide your answer below:
Answer:
119.38
Step-by-step explanation:
Answer:119.3805208 inches
Step-by-step explanation:
The dairy used 50 pounds of milk to make 5 pounds of
cheddar cheese.
How many pounds of cheddar cheese would 30 pounds
of milk make?
Answer:
3 pounds
Step-by-step explanation:
Find the unit rate by using the equation 50/5 = 10. That means you need 10 pounds of milk to make 1 pound of cheddar cheese. 10 x 3 = 30, so you need to do 1 x 3 = 3.
What is the absolute value of -8.35
Answer:
8.35
Step-by-step explanation:
To get absolute value, just make it the opposite
Answer: |-8.35| = 8.35
Step-by-step explanation: |-8.35| = 8.35
can someone answer these?
Answer:
1. SSS
2.SSA
3.ASA
Step-by-step explanation:
For number one there is three congruent sides with the on in the middle
For number two there is two sides and one angle congruent
And number three has an embedded side between the two angles
Find the probability of selecting an heartt out of a
standard deck of cards.
Answer:
4/9
Step-by-step explanation:
wild deer population weight has standard deviation of 50 lb. What is the probability of existence of a random sample (size 100) weight within + 5 lb. of population mean weight?
This question was not written properly
Complete Question
Wild deer population weight has standard deviation of 50 lb. What is the probability of existence of a random sample (size 100) weight within ± 5 lb. of population mean weight?
Answer:
0.68269
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ/√n where
x is the raw score
μ is the population mean
σ is the population standard deviation.
From the question:
Standard deviation = 50 lb.
Sample size = 100
The weight is within ± 5Ib
For +5 lb
Z =+ 5/50/ √100
Z = +5/50/10
Z = +5/5
Z = 1
Using the Z table to find the probability of the Z score.
P(Z = 1) = 0.84134
For - 5 lb
Z = - 5/50/ √100
Z = - 5/50/10
Z = - 5/5
Z = -1
Using the Z table to find the probability of the Z score.
P(Z = -1 ) = 0.15866
Hence,
P (-Z<x<Z)
P(Z = +1 ) - P(Z = -1)
0.84134 - 0.15866
= 0.68269
The probability of existence of a random sample (size 100) weight within ± 5 lb. of population mean weight is 0.68269
Expand the following expression
(9h+2k)^2
Which number line shows the solution to the inequality 5x + 3> - 17
Penny used to drive 3.36 miles to school. Then, she moved 1.29 miles closer to
school. How far does Penny have to drive to school now?
о
Answer:
I think the answer is 2.07
Maria deposited $5,700 in an account that earns 8% simple interest. How much will be in her account after 6 years?
Answer:
,$456 paid in her account after 6 year
Which equation matches the function described in the table?
Answer:
y = 4x - 1
Step-by-step explanation:
Equation y = 4x - 1 matches the function described in the table.
Lin runs 5 laps around a track in 6 minutes. How many minutes per lap is that?
Answer:
one minutes and 12 seconds
Step-by-step explanation:
mark me brainliest.
I need help Nkaocjsjbsiss
Answer:
46
Step-by-step explanation:
it wouldn't change if it was to be rotated
Please help me I need help
Find the area of each square. Each grid square represents 1 square unit.
deduct 18.729 from the sum of 29.178 and 9.65
Answer:
Step-by-step explanation:
the sum of 29.178 and 9.65
29.178
+ 9.650
= 38.828
Sum =38.828
Deduct 18.729 from the sum
38.828
-. 18.729
=20.099
So the answer is 20.099
What is 5 to the 3 power simplifyed
Answer: 125
Step-by-step explanation:
5^3=5*5*5=125
Answer:
125
Step-by-step explanation:
5^3 = 5 times 5 times 5
5 times 5 = 25
25 times 5 = 125
the sum of 4 consecutive even integers is -164. what is the value of the greatest integer
Answer:
The value of the greatest integer is -38
Step-by-step explanation:
Let's make
x = the first even integer
x + 2, x + 4, x + 6 are the following even integers.
Recall even numbers are counted every other number.
The sum of all the numbers is -164:
x + x + 2 + x + 4 + x + 6 = -164
Simplifying:
4x + 12 = -164
Subtracting 12:
4x = -164 - 12 = -176
Dividing by 4:
x = -176 / 4 = -44
Thus, the greatest of them all is x + 6 = -44 + 6 = -38
The value of the greatest integer is -38
In the orchestra, there
are eight violinists in the
front row. How many
different ways can
they be seated?
Explanation:
We have 8 choices for the first slot, 7 for the second, and so on. We count our way down until we have 1 choice left for the eighth slot.
We'll get 8*7*6*5*4*3*2*1 = 40,320 different permutations.
You could use the nPr formula
[tex]_nP_r = \frac{n!}{(n-r)!}[/tex]
with n = 8 and r = 8 to get the same result. The exclamation marks indicate factorials.
The 8 violinists can be seated in 40,320 ways.
What is permutation?A permutation is an arrangement of items in a specific direction or sequence. One should consider both the selection and the arrangement while dealing with permutation. In permutations, ordering is crucially important. The permutation is seen as an ordered combination, in other words.
Given In the orchestra, there are eight violinists in the front row,
the sitting arrangement of violinists is done with the help of permutation,
ⁿPₓ = n!/(n - x)!
here n = 8 and x = 8
(n - x)! = (8 - 8)!
(n - x)! = = 0! = 1
⁸P₈ = 8!/1
⁸P₈ = 8 x 7 x 6 x 5 x 4 x 3 x 2 x1
⁸P₈ = 40,320
Hence they can be seated in 40,320 ways.
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What is the slope and y-intercept of the equation on this graph
Answer:
C.
Step-by-step explanation: