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]
Solve the equation.
3/4x+3-2x=-1/4+1/2x+5
Answer:
x=-1
Isolate the variable by dividing each side by factors that dont
contain the variable
the first and last term arithmetic sequence are 9 and 165 respectively.if the sum of all the terms of the arithmetic sequence is 3480,find the number of terms and the common difference of this arithmetic sequence
Answer:
40 termsStep-by-step explanation:
Sum of n terms formula:
Sn = 1/2n(a1 + an)Solving for n
3480 = 1/2n(9 + 165)3480 = 87nn = 3480/87n = 40Answer:
Required Answer:-first term =a=9Last term =l=165 Sn=3480As we know that in a AP
[tex]{:}\longrightarrow[/tex][tex]\sf S_n={\dfrac {1}{2}}(a+l)n[/tex]
Substitute the values[tex]{:}\longrightarrow[/tex][tex]\sf 3480={\dfrac {1}{2}} (9+165)n[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3480={\dfrac {1}{2}}(174)n[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3480={\dfrac {174}{2}}n [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3480=87n [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf n={\dfrac {3480}{87}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf n=40[/tex]
[tex]\therefore[/tex]Number of terms=40.
A triangle has sides with lengths 4.15, 7.092 and 12.45. What is the perimeter of the triangle?
Answer:
Perimeter = 23.692 units
Step-by-step explanation:
Perimeter = sum of all his sides
then:
Perimeter = 4.15 + 7.092 + 12.45
Perimeter = 23.692 units
Harriet used the work below to determine the percent equivalent to One-eighth.
Step 1: One-eighth = StartFraction question mark Over 100 EndFraction
Step 2: 8 divided by 100 = 0.08
Step 3: 0.08 times 1 = 0.08
Step 4: 0.08 percent
What was Harriet’s error?
In Step 1, she set up the proportions incorrectly.
In Step 2, she divided 8 by 100 instead of 100 by 8, so she cannot multiply the numerator by the factor.
In Step 3, she multiplied the numerator instead of the denominator by the factor.
In Step 4, she forgot to move the decimal.
Answer:
B
Step-by-step explanation:
Answer: B
Step-by-step explanation: It's B
Witch atom has 12 protons
A carbon (C)
B nitrogen (N)
C sodium (Na)
D magnesium (Mg)
Also I didn’t mean to click a answer on there
There are 80 questions on a test. 1/4 of the answers are the letter A, 20% of the answers are letter B, 28 answers are the letter C, How many answers are the letter D?
18
28
20
16
Answer:
16
Step-by-step explanation:
1/4 is 20
20per is 16
20+16+28 is 64 minus 80 is 16
plz help i will give u $10000
When the function f(x) is divided by 2x 1, the quotient is x2 93 3 and the
remainder is –9. Find the function f(x) and write the result in standard form.
Answer:
my cash app is Joy95H Suppose we wish to find the zeros of f(x) = x
3 + 4x
2 − 5x − 14. Setting f(x) = 0 results in the
polynomial equation x
3 + 4x
2 − 5x − 14 = 0. Despite all of the factoring techniques we learned1
in Intermediate Algebra, this equation foils2 us at every turn. If we graph f using the graphing
calculator, we get
The graph suggests that the function has three zeros, one of which is x = 2. It’s easy to show
that f(2) = 0, but the other two zeros seem to be less friendly. Even though we could use the
‘Zero’ command to find decimal approximations for these, we seek a method to find the remaining
zeros exactly. Based on our experience, if x = 2 is a zero, it seems that there should be a factor
of (x − 2) lurking around in the factorization of f(x). In other words, we should expect that
x
3 + 4x
2 − 5x − 14 = (x − 2) q(x), where q(x) is some other polynomial. How could we find such
a q(x), if it even exists? The answer comes from our old friend, polynomial division. Dividing
x
3 + 4x
2 − 5x − 14 by x − 2 gives
x
2 + 6x + 7
x−2 x
3 + 4x
2 − 5x − 14
−
x
3 −2x
2
6x
2 − 5x
−
6x
2 −12x)
7x − 14
− (7x −14)
0
As you may recall, this means x
3 + 4x
2 − 5x − 14 = (x − 2)
x
2 + 6x + 7
, so to find the zeros of f,
we now solve (x − 2)
x
2 + 6x + 7
= 0. We get x − 2 = 0 (which gives us our known zero, x = 2)
as well as x
2 + 6x + 7 = 0. The latter doesn’t factor nicely, so we apply the Quadratic Formula to
get x = −3 ±
√
2. The point of this section is to generalize the technique applied here. First up is
a friendly reminder of what we can expect when we divide polynomia
Step-by-step explanation:
I need help
With this please
Answer:
Ima be straight up with you im 1 awnser away from getting 50 points but ill find the answer for ya
Step-by-step explanation:
Please help me find the line of the line showed
Answer:
[tex]m=\frac{1}{6}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-5, -4)
Point (1, -3)
Step 2: Find slope m
Substitute: [tex]m=\frac{-3+4}{1+5}[/tex]Add: [tex]m=\frac{1}{6}[/tex]1. Francisco invested $5,000 into an account that earns 3% compounded quarterly. How many
times will Francisco earn interest after keeping the money in the account for 5 years?
2. What will be the value of his account in 5 years if he does not make any additional deposits or
withdrawals?
3. After how many years will Francisco’s account reach $10,000
4. If Francisco wanted to double his money in 12 years, what Interest rate would his account have to earn?
Answer:
10,002.21
Step-by-step explanation:
1)4x5= 20 times
2) principal= 5000
interest rate per year= 3%
compounded times per year=4
time in years = 5
the formula is amt= p*(1+r/n)^(n*t)
thus
Amount = 5805.92
3) If time in years = 23.2
then
amount = 10,002.56
4) Principal = 5,000
interest rate per yr= 5.82%
Compounded times per year = 4
time in years =12
help me please.........
Answer:
1. true 2. true 3.true 4. false 5. false
Step-by-step explanation: 4/4-3/4 is 1/5. You multiply the top first (4-3=1) and the bottom isn't supposed to change. so the answer is 1/4
If AABC = ADEC,
ZB = 48° and ZE = x + 4
Answer:
[tex]x = 44^\circ[/tex]
Step-by-step explanation:
Triangle Congruence
Given triangle ABC is congruent to triangle DEC, then it's true that angle ABC is congruent to angle DEC.
The figure shows that:
[tex]m\angle B = 48^\circ[/tex]
[tex]m\angle E = x + 4^\circ[/tex]
Those angles are congruent, or have the same measure, thus:
[tex]x + 4^\circ = 48^\circ[/tex]
Subtracting 4°:
[tex]x = 48^\circ - 4^\circ[/tex]
[tex]\mathbf{x = 44^\circ}[/tex]
what function best models the data and what wil be the chicken breast after 50 miutes
Answer:
Students use linear, quadratic, and exponential functions to model data from tables and choose the regression
most appropriate to a given context. They use the correlation coefficient to determine the accuracy of a
regression model and then interpret the function in context. They then make predictions based on their model
and use an appropriate level of precision for reporting results and solutions.
Lesson 7 focuses on data sets that cannot be modeled accurately, and students are asked
to articulate why. Students use skills learned in Lesson 14 of Module 2 (where they used
calculators to write linear regressions) and apply similar techniques for data sets that are
better suited to modeling with quadratic or exponential regressions. Students use that
same technique to find linear regressions and use their graphing calculators to examine
the correlation coefficient and to find quadratic and exponential regressions. They
compare correlation coefficients to determine which model is best for the data.
Ultimately, students choose the regression model (linear, quadratic, or exponential) most
appropriate to a given data set and then write, verify, and interpret these models in
context. Students need a graphing calculator to complete this lesson. Graphing calculator
instructions are provided, but steps may vary slightly depending on the model of the
graphing calculator.
Refer to the following full modeling cycle during this lesson (Found on page 61 of the CCLS
and page 72 of the CCSSM).
Scaffolding:
Students are more
engaged when working
with relevant and real data
that interests them.
Websites that provide
data sets are a good
resource for classroom
investigations.
This lesson might need to
be divided into two days if
students need more time
to master the technology.
Step-by-step explanation:
Solve four and six eighths minus two and three fifths.
(GIVING EXTRA POINTS AND GIVING BRAINLIEST!!)
A) one and six thirteenths
B) one and three fortieths
C) two and six fortieths
D) two and three thirteens
(Here is an image if needed) :
Answer:
I am not really sure but I asume it is C honestly I am sorry if I am wrong. But if I am right I really hope this helps
EASY QUESTION WILL GIVE BRAINLIEST!!!
Tyler has a baseball bat that weighs 28 ounces.
Find this weight in kilograms and in grams. (Note: 1 kilogram 35 ounces).
Make a table
What is the value of the expression?
- 16+ 12
0-28
-4
4
O 28
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each graph to the equation of its line.
Answer:
If you're doing edmentum, maybe this will help. See Screenshot below. VVVVV
Step-by-step explanation:
The equation of the lines in the graphs given are:
Graph 1: y = -2x - 4
Graph 2: y = -x + 2
Graph 3: y = 4x - 4
Graph 4: y = x + 2
What is the Equation of a Line?Equation of a line is given as, y = mx + b
m = slope = rise/runb = y-intercept.Equation of the Line in Graph 1:
Slope = rise/run = -4/2 = -2
b = -4
Equation is: y = -2x - 4
Equation of the Line in Graph 2:
Slope = rise/run = -2/2 = -1
b = 2
Equation is: y = -x + 2
Equation of the Line in Graph 3:
Slope = rise/run = 4/1 = 4
b = -4
Equation is: y = 4x - 4
Equation of the Line in Graph 4:
Slope = rise/run = 2/2 = 1
b = 2
Equation is: y = x + 2
Learn more about equation of a line on:
https://brainly.com/question/13763238
#SPJ2
the linear equation y=1/2x+1 is represented by the graphed line. A second linear equation is represented by the data in the table. X(-2,0,2,4) Y(7,6,5,4) .In which square is the solution located
Answer:
Correct Answer is D
Step-by-step explanation:
Answer:
Yeah it's "D"
Step-by-step explanation:
Have a Jocular Day
Daniel earns a commission of 3% on every home he sells. Recently, Daniel
sold a home for $180,000. What was Daniel's commission?
Answer:
The answer in 180000 * 3 ÷ 100 = 5400$
Dan and Paul share some money in the ratio 9:5.
Dan decides this is unfair so he gives Paul £32 of his share to make the ratio 1:1.
How much did Paul originally have?
Answer:
Paul had £40 originally.
Step-by-step explanation:
Given
Let d be the money Dan has and p be the money Paul has
Then according to the given situation,
[tex]\frac{d}{p} = \frac{9}{5}\\d = \frac{9p}{5}\ \ \ Equation\ 1[/tex]
Now from the statement, "Dan decides this is unfair so he gives Paul £32 of his share to make the ratio 1:1"
[tex]\frac{d-32}{p} = 1[/tex] Eqn 2
From 2
[tex]d - 32 = p\\[/tex]
Putting d = 9p/5
[tex]\frac{9p}{5} - 32 = p\\9p - 160 = 5p\\9p-5p = 160\\4p = 160\\\frac{4p}{4} = \frac{160}{4}\\p = 40[/tex]
Checking
[tex]d = \frac{9(40)}{5} = \frac{360}{5} = 72\\\frac{d}{p} = \frac{72}{40} = \frac{9}{5}[/tex]
Hence,
Paul had £40 originally.
Please answer this correctly without making mistakes
Answer:
Its too low
Step-by-step explanation:
plz mark brainliestʕ•ᴥ•ʔ
What is the variable in Samuel is six inches taller than his brother Elijah.if Samuel is 48 inches tall,how tall is Elijah
Answer: Elijah would be 42 inches tall
Step-by-step explanation:
We all know that Samuel is 48 inches while Elijah is 6 inches shorter.
You subtract 6 from 48 to get 42.
Hopefully, this helped. :D
Where would -(-3) be on a number line?
Explain how to calculate equivalent fractions.
Answer:
Hey there! Thanks for asking your question.
We can multiply the numerators and denominators by any number.
Either way, you will have the same equivalent fraction.
Let's do a practice problem:
[tex]\frac{1}{2} = ?[/tex]
We can multiply the numerator & denominator by 2.
We get the number [tex]\frac{2}{4}[/tex].
So, [tex]\frac{1}{2} = \frac{2}{4}[/tex].
Best of Luck!
the sum of three times x and 33
Answer:
3x+33
Step-by-step explanation:
This is if you are just looking for an expression.
9. A kitchen sink holds 24 gallons of water. A full sink drains at 3 gallons per minute. Which of
the following tables best represents the situation?
A.
Х
1
2
3
4
B.
Х
1
2
3
4
Y
24
48
72
96
Y
21
18
15
12
C.
Х
0
2
4
6
D.
Х
1
2
3
4
Y
24
21
18
15
Y
24
21
18
15
Answer:
Umm it has no photo so we can't see the table
Step-by-step explanation:
Umm it has no photo so we can't see the table
Answer: I had the same problem and someone else gave me the answer, the answer is B :>
Estimate the:
length of a pen
length of a swimming pool
length of a marathon race
5.2 inches 13.12 cm
length of a swimming pool:50m
length of a marathon race:42.195 kilometers
hope this answers your question!2n²-6n+5 for n=-3 pls help me
Answer:
41
Step-by-step explanation:
2n²-6n+5
2(-3)²-6(-3)+5
2(9)+18+5
18+18+5
36+5
41
PLEASE ANSWER what are the slopes to these graphs ?
Answer:
13. 1/4x
14. -2/4x or -1/2x
15 1/3x or 2/6x
16. Zero
Step-by-step explanation:
13. goes up once and goes to the side 4 times
14. goes down twice and goes to the side 4 times
15. goes up one time and three to the side
16. zero slope, the line is horizontal
Answer:
13. 1/4
14. -1/2
15 1/3
16. Zero
Step-by-step explanation:
Compute 41, 42, 43, 44, 45, 46, 47, and 48. Make a conjecture about the units digit of 4n where n is a positive integer. Use strong mathematical induction to prove your conjecture.
Answer:
The conjecture is that the unit digit of 4^n = 4 when n = odd also 4^n = 6 when n = even
Step-by-step explanation:
[tex]4^1 = 4\\4^2 = 16\\4^3 = 64\\4^4 = 256 \\4^5 = 1024\\4^6 = 4096\\4^7 = 16384\\4^8 = 65536[/tex]
The conjecture is that the unit digit of 4^n = 4 when n = odd also 4^n = 6 when n = even
To prove this conjecture
[tex]4^1 = 4\\4^2 = 16[/tex] unit digit = 6
hence the property is true for ; n = 1 and n = 2 and also for every odd and even number ( i.e. from 1 to 8 )