Answer:
a) Number of people expected to have consumed alcoholic beverages in the sample = 35.
Standard deviation = 3.24
b) 45 or more people consuming alcoholic beverages in the sample is about 3 standard deviations from the mean (35), hence, it would be surprising if this happened since most of the possible values in a distribution stay well within a few standard deviations of the mean.
c) The probability that 45 or more people in this sample have consumed alcoholic beverages = 0.0017
The mathematical and statistical chances of 45 or more people who have consumed alcoholic beverages in the sample is very low (0.0017), hence, it will be very surprising if this happened.
Step-by-step explanation:
Concluding part of the question
What is the probability that 45 or more people in this sample have consumed alcoholic beverages? How does this probability relate to your answer to part (b)?
a) The expected number of people that take alcoholic beverages in a sample of people is the mean of a binomial distribution and it is given as
Mean = np
where n = sample size = 50
p = population proportion of youths that take alcoholic beverages = 70% = 0.70
Number of people expected to have consumed alcoholic beverages in the sample = 0.70 × 50 = 35
The standard deviation is given as
σ = √[np(1-p)] = √(50×0.70×0.30) = 3.24
b and c) To investigate whether one should be surprised if 45 or more people out of the sample take alcoholic beverages, we first find the probability of this happening.
If the probability is very small or minute.
Using the normal approximation to the binomial distribution,
μ = 35
σ = 3.24
If X denotes the number of people that will take alcoholic beverages in the sample.
And we need P(X ≥ 45)
we first introduce the continuity correction factor.
P(X ≥ 45) = P(x ≥ 44.5)
We normalize or standardize the number 44.5
The standardized score for any value is the value minus the mean then divided by the standard deviation.
z = (x - μ)/σ = (44.5 - 35)/3.24 = 2.93
To determine the required probability
We'll use data from the normal distribution table for these probabilities
P(X ≥ 45) = P(x ≥ 44.5) = P(z ≥ 2.93)
= 1 - P(z < 2.93)
= 1 - 0.99831
= 0.00169 = 0.0017 to 4 d.p.
Hope this Helps!!!
This school is also thinking of changing their mascot to an armadillo. To change mascot, a 55% supermajority is needed. How many of the 240 students need to vote "yes" for the mascot to change
Answer:
132 students
Step-by-step explanation:
100% means all of something, so 100% can also be written as 1.00
Since we need 55% of 240, we can multiply 240 by 0.55 and get 132.
PLZ SOLVE ASAP Solve for f. -11f=7(1-2f)+5
Answer:
f = 4
Step-by-step explanation:
Step 1: Distribute
-11f = 7 - 14f + 5
Step 2: Combine like terms
-11f = 12 - 14f
Step 3: Add 14f to both sides
3f = 12
Step 4: Divide both sides by 3
f = 4
Answer:
F = 4
solution,
-11f=7(1-2f )+5
Or -11 f = 7-14 f +5
Or -11 f +14 f = 5+7
Or 3 f = 12
Or f=12/3
F = 4
hope this helps...
good luck on your assignment...
What are the non permissible values of (2n-5)/(3n+1)
Answer:
n= -1/3
Step-by-step explanation:
To find non permissible values (npv), focus on the denominator of an expression
In this case, the denominator is: (3n+1)
The npv is basically the value that would make the expression equal to 0
So, make the expression in the denominator equal 0
3n+1 = 0
Solve for n
3n= -1
n = (-1/3)
Thus, the npv for this equation is n= -1/3
Find the distance along an arc on the surface of the earth that subtends a central angle of 6 minutes (1 minute = 1/60 degree). The radius of the earth is 3960 miles.
Answer:
The distance is 6.9115 miles.
Step-by-step explanation:
To solve this problem we can use a rule of three.
The length of a circumference is 2*pi*r, and if we have a fraction of the whole arc, we have that:
360 degrees -> arc of 2*pi*r
6 * (1/60) degrees -> arc of x
So we have that:
[tex]x * 360 = (1/10) * 2*\pi*r[/tex]
[tex]x = (1/10) * 2 * \pi * 3960 / 360[/tex]
[tex]x = (1/5) * \pi * 11[/tex]
[tex]x = (11/5)*\pi = 6.9115\ miles[/tex]
The distance is 6.9115 miles.
1 1/4 3 1/2. additon
Answer:
19/4
Step-by-step explanation:
First convert 1 1/4 into a improper fraction:
5/4
Then convert 3 1/2 into a improper fraction:
7/2
Now find the LCM of both denominators:
4
Now multiply the fractions such that the denominators are equal to 4:
5/4 x 1/1 = 5/4
7/2 x 2/2 = 14/4
Now add the numerators:
5 + 14 = 19
Now put the numerator and denominator together to get:
19/4
Answer:
4 3/4
Step-by-step explanation:
1 1/4 +3 1/2 =
5/4 + 7/2=
5/4 + 14/4=
19/4= 4 3/4
______ × 1.3 = 1.56 can you help me please
Answer:
1.2
Step-by-step explanation:
to get the answer divide 1.56/1.3=1.2
1.2*1.3=1.56
Answer: 1.2
Step-by-step explanation:
Divide both sides of the equation by 1.3
X=1.56/1.3
X=1.2
Plug in 1.2 x 1.3 = 1.56
Try to answer the following question without running the code in Python:
If we run the following program:
a = 2 + 6
b = 7 % 3
c = a - b
c = c * 5
print(c)
what gets printed?
Answer:
35
Step-by-step explanation:
Given
the above lines of code
Required
What's the output
We'll analyze the code line by line
a = 2 + 6
At this point a = 8
b = 7 % 3
At this point b = 1. This is so because, the remainder of 7%3 is 1
c = a - b
At this point c = 7;
This is calculated by c = 8 - 1 = 7
c = c * 5
At this point; c = 35
This is calculated by: c = 7 * 5 = 35
print(c)
The value of c, which is 35 is printed
Which of the following expressions is not equal to the others? 4ax2y 8ax y 2ayx4a ax 8y
Answer: 2ayx4a
Step-by-step explanation:
1) First, we will need to simplify each equation:
4ax2y = 8axy
8axy = 8axy
2ayx4a = 8ayx4a
ax8y = 8axy
2) We can now see that 2ayx4a is not the same as the others.
What is the surface area of the right rectangular prism?
Answer:
Step-by-step explanation:
Answer =250
l Length
10
w Width
5
h Height
5
Gill has five boxes that contain only red and yellow counters.
She takes a counter from a box without looking.
If the probability that she takes a red counter is 0.7, which box did she take it from? (1 mark)
Answer:
Box e
Step-by-step explanation:
14/20=0.7
Simplify the following expression.
(2x – 3)(5x⁴ – 7x³ + 6x² – 9)
Answer:
10x⁵ - 29x⁴ + 33x³ - 18x² - 18x + 27
Step-by-step explanation:
All we have to do is distribute both terms of the binomial into the polynomial and combine like terms.
10x⁵ - 14x⁴ + 12x³ - 18x - 15x⁴ + 21x³ - 18x² + 27
10x⁵ - 29x⁴ + 33x³ - 18x² - 18x + 27
Solve each system by the addition method.
2x + 4y = 28
X - 2y = 10
Put your answer in ordered pair (x, y) form.
When solving a system by addition, our goal is to cancel out one of the variables by adding the two equations together.
Notice that if we add these two equations together,
neither one of our variables will cancel out.
In this situation, we need to set things up so that when we do add
our two equations together, one of our variables will cancel out.
Notice that we have a 2x in our first equation.
If we had a -2 in our second equation,
then the x's would cancel out.
In order to create a -2x in the second equation,
we simply multiply both sides of the second equation by -2.
So we have (-2)(x - 2y) = (10)(-2).
Rewriting both equations, we have 2x + 4y = 28 and for
our second equation we have -2x + 4y = -20.
Now when we add our two equations together,
our x terms will cancel out and were left with 8y = 8.
Dividing both sides by 8, y = 1.
To solve for x, substitute a 1 in for y
in either one of the two equations.
So let's go with our first equation.
If we substitute a 1 in for y, we have 2x + 4(1) = 28.
4(1) is 1 according to the identity property of multiplication.
So we have 2x + 4 = 28.
Now subtract 4 from both sides to get 2x = 24.
Now divide both sides by 2 and x = 12.
Now put your answer in the form of the ordered pair {12, 1}.
y=-4x-5 y=3x-2 is (3,7) a solution of the system?
Answer:
No
Step-by-step explanation:
Does (3, 7) satisfy the first equation, y = -4x - 5? Is 7 = -4(3) - 5 true? NO. Thus, (3, 7) cannot be a solution of the system
y=-4x-5
y=3x-2
The given point (3, 7) is not the solution in the given case.
What is a system of linear equations?A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.
Given equations are as follows,
y = -4x - 5 (1)
y = 3x - 2 (2)
In order to find whether (3,7) is the solution for them, substitute x = 3 and y = 7 in both the equations and check the LHS and RHS of both.
For equation (1),
y = -4x - 5
LHS is y = 7
RHS = -4x - 5
= -4 × 3 - 5
= -17
Since, LHS ≠ RHS, the given values of x and y are not the solution for the given equation.
Now, equation(2) need not to be checked as the result for the given values is already not valid for equation(1).
Hence, the given coordinate (3,7) is not the solution for the given equations.
To know more about linear equation click on,
https://brainly.com/question/11897796
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Use the Fundamental Theorem of Algebra to explain how many roots your expression can have. How many real roots and how many complex roots are possible? (x+3)^10
Answer:
We have the relation:
(x + 3)^10
As the degree of the polynomial is 10, we know that we can have 10 roots.
The theorem says that this has at least one complex root.
As you know, this is actually trivial, because for example, 4 can be a complex number with an imaginary part equal to zero.
In this case, the polynomial is only zero if we have x = 3.
Then we have 10 roots that are equal to x = 3.
and those 10 roots can be real, or we can have 10 roots equal to 3 + 0*i, that is a complex number.
passes through ( 4,10 ) and has vertex (0,0) PLSSS HELP !!!
Answer:
x^2-4x
Hope this helps
Also, thanks for 13 points
help me please! i’m unsure of the formula and how to solve
Answer:
12.4 cm
Step-by-step explanation:
arc AB is calculated using
arc = circumference × fraction of circle
= 2πr × [tex]\frac{90}{360}[/tex]
= 2π × 7.9 × [tex]\frac{1}{4}[/tex]
= [tex]\frac{7.9\pi }{2}[/tex] ≈ 12.4 cm ( to the nearest tenth )
Help please with the question
Answer:
try x=3.08
Step-by-step explanation:
In a game, two people each roll one dice. If one dice landed on a 6 and the other landed on the 5, find the least common multiple of the numbers they rolled.
Answer:
30
Step-by-step explanation:
6 = 6, 12, 18, 24, 30, 36
5 = 5, 10, 15, 20, 25, 30, 35
What is the domain of the function y= Vx+4
Answer:
y = √ x + 4
The domain of a function is the value in which you put in the function will make it undefined.
To find the domain equate the function to zero
That's
√x + 4 = 0
square both sides
x + 4 = 0
x = - 4
The domain of the function is x E R except - 4
Hope this helps
Answer:
Step-by-step explanation:
y=√x+4
domain is [0,∞)
range is [4,∞)
write the equation of the circle with its center at (-7, 8) and a radius of 9.
Answer:
(x + 7)^2 + (y - 8)^2 = 81.
Step-by-step explanation:
According to the diagram below, the equation of a circle is (x - h)^2 + (y - k)^2 = r^2.
In this case, h = -7, k = 8, and r = 9.
(x - -7)^2 + (y - 8)^2 = 9^2
(x + 7)^2 + (y - 8)^2 = 81.
Hope this helps!
Answer:
(x + 7)² + (y - 8)² = 81
Step-by-step explanation:
The equation of a circle is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.
We can plug in the values given, since we are given the center coordinates and radius value:
(x - h)² + (y - k)² = r²
Plug in the center coordinates:
(x + 7)² + (y - 8)² = r²
Plug in the radius:
(x + 7)² + (y - 8)² = 9²
(x + 7)² + (y - 8)² = 81
The equation will be (x + 7)² + (y - 8)² = 81
Trapezoid PQRS is the image of a trapezoid ABCD after a sequence of translations.
Hint: The shapes are congruent (identical).
Tell whether each statement is True or False.
Answer:
All are true except d
Step-by-step explanation:
● a
Since both shapes are congruent, the sides AB and PQ are identical. They have the same length
● b
The same goes for these sides. They are indentical.
● c
The angles B and Q are indentical so they have the same size.
● d
The angles c and p aren't identical.
● e
Since both shapes are trapezoids
AD and BC are parallel and the same goes for PS and Qr
Please answer this question now in two minutes
I hope this helps you
x+x-47=x+42
x=42+47
x=89°
Hey there! :)
Answer:
x = 89°.
Step-by-step explanation:
x + 42 is supplementary to the inside angle at the top of the triangle, so:
The top angle of the triangle is equal to:
180 - x - 42.
All of the angles in a triangle add up to 180°, therefore:
180 = x + x - 47 + 180 - x - 42
Combine like terms:
180 = 2x + 133 - x - 42
180 = x + 91
Subtract 91 from both sides:
89 = x.
Therefore, x = 89°.
***plss help BRAINLIEST IF ANSWERED**
Circle D is shown with the measures of the minor arcs. Which angles are
congruent?
<EDH and <EDF
<EDF and <FDG
<FDG and <GDH
<GDH and <EDF
Answer:
<EDF and <FDG
Step-by-step explanation:
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
Answer:
<EDF AND <FDG
Step-by-step explanation:
JUST took the form
Need help with this X y chart asap
Answer:
High Hopes <3
Barry
two angles of a triangle measure 27 degrees and 17 degrees what is the measure of the third angle? A) 146 degrees B) 136 degrees C) 46 degrees D) 44 degrees
Answer:
The third angle is 136
Step-by-step explanation:
The three angles of a triangle add to 180
27+17+x = 170
Combine like terms
44+x = 180
Subtract 44 from each side
44+x-44 =180-44
x =136
Answer:
136° is the answer.
Step-by-step explanation:
given ,
1st angle=27°
2nd angle= 17°
let the third angle be x
then ,x+27°+17°=180°
or x+44°=180°
or, x=180_44
therefore the value of x is 136°.
BRAINLIEST IF YOU HELP the correct simplification of 7x2(6x + 3x2 − 4)? A 21x4 − 42x3 + 28x2 B 42x4 + 21x3 − 3x2 C 21x4 + 42x3 − 28x2 D 42x4 − 13x3 + 11x2
[tex]\text{Simplify:}\\\\7x^2(6x + 3x^2- 4)\\\\\text{Use the distributive property:}\\\\42x^3+21x^4-28x^2\\\\\text{You can arrange them by exponent}\\\\21x^4+42x^3-28x^2\\\\\text{This means that your answer will be C).} 21x^4 + 42x^3 - 28x^2\\\\\boxed{\text{C).}\,\,21x^4 + 42x^3 - 28x^2}[/tex]
Answer:
It is C
Step-by-step explanation:
Harry goes to Hogwarts School of Witchcraft and Wizardry. He can travel to school and back in 333 different ways: by the Hogwarts Express, a flying car, or the Knight Bus. He's decided to choose his methods of transportation to and from Hogwarts at random this year. Which of these tables lists all the different ways Harry can get to Hogwarts and back? (Each row represents one outcome.) Choose all answers that apply: Choose all answers that apply:
Answer:
its table A and B
Step-by-step explanation:
Answer:
both answers
Step-by-step explanation:
HELP ASAP Linear Equations
Answer:
4th choice: I and IV only
Step-by-step explanation:
Change the form of the given equation to standard form.
y = -2/3 x + 2
3y = -2x + 6
2x + 3y = 6
Now compare this equation with the 4 choices.
Any equation that has the same x- and y-terms but a different constant term is parallel.
I. is parallel.
II. and III. are not parallel.
Look at IV.:
4x + 6y = 3
Divide both sides by 2:
2x + 3y = 3/2
IV. is also parallel.
Answer: 4th choice: I and IV only
Answer:
I and IV only
Step-by-step explanation:
In order for graphs to be parallel, they must have the same slope
In this case, we are looking for a slope of -2/3
We can find the other slopes by solving for y (y=mx+b)
I. 2x+3y=10
Subtract 2x from both sides
3y=-2x+10
Divide by 3
y=-2/3+10/3 This works since the slope is identical
II. 2x-3y=9
Follow a similar progression as the previous (subtract the x's and divide the y's)
-3y=-2x+9
y=2/3=3 This doesn't work since it is positive
III. 4x-6y=30
-6y=-4x+30
y=2/3 x-5 (4/6 simplified to 2/3) Also doesn't work since it is positive
IV. 4x+6y=3
6y=-4x+3
y=-2/3x+3 (-4/6 simplified to -2/3) This one works, it is identical
1.Identify the largest odd number from the
eight numbers below.
23,18,92,41,31,12,21,90,21,9O
Answer:
41
Step-by-step explanation:
Odd numbers end in 1, 3, 5, 7, and 9.
The odd numbers from the list are:
23, 41, 31, 21, 21
The largest number from the list is:
41
Answer: 41
Step-by-step explanation:
that's the answer
Hannah has $1,000 in her savings account. During month 1, she withdraws $25. Each successive month, she withdraws $10 more than the previous month. The amount left in her account after 10 months can be represented by this expression How much remains in Hannah's savings account after 10 months?
Answer:
$300
Step-by-step explanation:
Though you didn't include the expression in the question but the question can be solved using the below method
Total savings=$1000
Month 1 withdrawal=$25
Each successive month=$10 more than the previous month
first month=$25
Second month=$35
Third month=$45
Fourth month=$55
Fifth month=$65
Sixth month=$75
Seventh month=$85
Eighth month =$95
Ninth month=$105
Tenth month=$115
Total withdrawal=25+35+45+55+65+75+85+95+105+115
=$700
The amount left in Hannah's savings account=Total savings - Total withdrawal
=$1000-$700
=$300
Answer:
A: $300
Step-by-step explanation:
Got it right.