Solution :
Let x be student will be left handed
P = 0.09
Using the normal approximation to binomial distribution,
a). n = 108,
μ = np = 9.72
[tex]$\sigma = \sqrt{np(1-p)}$[/tex]
[tex]$=\sqrt{8.8452}$[/tex]
= 2.9741
Required probability,
P(x=8) = P(7.5 < x < 8.5)
[tex]$=P\left(\frac{7.5-9.72}{2.9741}< \frac{x-\mu}{\sigma}< \frac{8.5-9.72}{2.9741}\right)$[/tex]
[tex]$=P(-0.75 < z < -0.41)$[/tex]
Using z table,
= P(z<-0.41)-P(z<-0.75)
= 0.3409-0.2266
= 0.1143
b). P(x=12) = P(11.5 < x < 12.5)
[tex]$=P\left(\frac{11.5-9.72}{2.9741}< \frac{x-\mu}{\sigma}< \frac{12.5-9.72}{2.9741}\right)$[/tex]
[tex]$=P(0.60 < z < 0.94)$[/tex]
Using z table,
= P(z< 0.94)-P(z< 0.60)
= 0.8294 - 0.7257
= 0.1006
what is the common difference in the sequence (-3, 2, 7, 12, ...)
Answer:
an=a1+d(n−1) a n = a 1 + d ( n - 1 )
Step-by-step explanation:
This is an arithmetic sequence since there is a common difference between each term. In this case, adding −5 to the previous term in the sequence gives the next term. In other words, an=a1+d(n−1) a n = a 1 + d ( n - 1 ) .
PLEASE HELP ME WITH THIS
Gabriela is solving the following equation. Her steps are shown:
Gabriella is not sure she has solved the problem correctly. How can you convince Gabriella if she has solved the problem correctly / incorrectly? If she has solved the problem incorrectly, solve it and convince her of the solution
Answer:
Solution given:
5(9x-8)=4(x+2)
45x-40=4x+8
45x-4x=40+8
41x=48
x=[tex] \frac{48}{41} [/tex]
Gabriella is not correct:
she has done in distribution
5(9x-8)=4(x+2)
45x-40=4x+8 not 45x-8=4x+2.
No, Gabriela is not solving correctly because her second step is wrong.
What is a fraction?In a fraction the upper part is known as numerator and the lower part is known as denominator.
How to solve the problem?The problem is as under
(9x-8)/4=(x+2)/5
The above problem is solved as
5(9x-8)=4(x+2)
45x-40=4x+2
41x=42
x=42/41
Hence the value of x is 42/41 therefore the solution of Gabriella is wrong.
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83. A student estimated the height of a tree as 47
feet. If the actual height is 53 feet, what is the
percent error rounded to the nearest percent?
(Hint: Compare the estimated height to the actual
height.)
Poviow (SARZA
Page 8
defintion of Symmetrical Dot Plot
Answer: The most typical symmetric histogram or dot plot has the highest vertical column in the center. This shape is often referred to as being a "normal curve" (or normal distribution). ... Skewed Right (positively skewed) - fewer data plots are found to the right of the graph (toward the larger numeric values).
Please help me with this assignment step by step answer.
Answer:
D
Step-by-step explanation:
since they are both outside or just exterior, and they are the opposite, so alternate exterior angles
help on this question
Answer:
sec t = 1/(cos t) = 1/(-3/4) = -4/3
What is the lowest whole number for hypotenuse c when using the formula [tex]\sqrt{a^2+b^2}[/tex] and a = b?
9514 1404 393
Answer:
0
Step-by-step explanation:
If a=b, you are asking for a whole number c such that ...
c = √(a² +a²) = a√2
If 'a' is a whole number, the only whole numbers that satisfy this equation are ...
c = 0 and a = 0.
0 = 0×√2
The lowest whole number c such that c = √(a²+b²) and a=b=whole number is zero.
__
√2 is irrational, so there cannot be two non-zero whole numbers such that c/a=√2.
_____
Additional comment
If you allow 'a' to be irrational, then you can choose any value of 'c' that you like. Whole numbers begin at 0, so 0 is the lowest possible value of 'c'. If you don't like that one, you can choose c=1, which makes a=(√2)/2 ≈ 0.707, an irrational number. The problem statement here puts no restrictions on the values of 'a' and 'b'.
Five less then 3 times a number is 3 let x be unknown
number
Answer:
3x-5=3
Step-by-step explanation:
Answer:
2.6 repeating Or 8/3(same thing in fraction form)
Step-by-step explanation:
So, lets iscolate the different parts of this euqation:
Five less than 3 times a number is 3
Or:
5 less than 3 * x = 3
This is a bit tricky here, but it should be:
(3*x)-5=3
Since order of operations, multipcation comes first.
And remember this is 5 less than the 3*x, so its subtracting 5 from 3*x.
This is all equal to 3.
Now lets solve:
(3*x)-5=3
Solve whats in the parthese first:
3x-5=3
Then get 3x alone:
3x=8
Then get x alone:
x=8/3
Or
2.66 repeating
This is your answer(8/3 or 2.6)
Hope this helps!
What is equivalent to 3^-5
Answer:
The answer is the choose: (D)
[tex] {3}^{ - 5} = \frac{1}{ {3}^{5} } [/tex]
what decimal is greater than 1.434.
a. 1.443
b. 1.034
c. 1.340
d. 1.433
Answer:
the correct answer is A
Step-by-step explanation:
1.443-1.434
= 0.009
ANSWER PLZZZ I NEED HELP QUICK
Answer:
wheres the circle graph
Step-by-step explanation:
How long would it take a cruise ship to travel 156 miles at an average speed of 26 mph
Answer:
The answer is 6 hours
Step-by-step explanation:
26x6=156
How far off the ground is the top of the ladder? URGENT PLS HELP
“I got a great deal on hamburger, so I bought six pounds. I will use 3/8 of a pound for each hamburger patty (per serving).” How many servings will I get out of the six pounds of hamburger?
Answer:
16
Step-by-step explanation:
What are the results of
(3 + 1) + 27 ÷ 9 =
Answer:
3.4
Step-by-step explanation:
PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
(3+1)=4
4+27=31
31 ÷9=3.4
(hope this helped)
The result of expression(3 + 1) + 27 ÷ 9 = 7 .
What is order of operations?Order of operations is a set of rules to perform operations in an arithmetic expression.
PEMDAS is an acronym used to mention the order of operations to be followed while solving expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.
Given expression
(3 + 1) + 27 ÷ 9
Using order of operations,
Solving Parentheses
= 4 + 27 ÷ 9
Solving Division operation
= 4 + 3
Solving Addition operation
= 7
Hence, 7 is the result of the expression (3 + 1) + 27 ÷ 9 .
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Sally and Suzie both agree that m∠A + m∠B = 180⁰.
Sally claims ∠A and ∠B are supplementary.
Suzie claims ∠A and ∠B are not supplementary because they are not adjacent.
Who is correct?
Answer:
Sally is correct in claiming that [tex]\angle A[/tex] and [tex]\angle B[/tex] are supplementary.
Step-by-step explanation:
Supplementary angles are angles that add up to [tex]180^{\circ}[/tex]. Whether they are adjacent or not is irrelevant to whether they are supplementary. Since [tex]70+110=180[/tex], angles [tex]\angle A[/tex] and [tex]\angle B[/tex] are supplementary.
The TSA decides to hold back for inspection 4% of all pieces of carry-on luggage. Assuming selections are independent, for the next 150 pieces of luggage, a) find the exact probability that 7, 8, or 9 will be selected. Interestingly enough, this is a case where two of our approximation methods may be appropriate. b) Using Poisson approximation, recalculate the probability from a), and compare. c) Using normal approximation, recalculate the probability from a), and compare
Answer:
a) 0.3140
b) 0.3098
c) 0.3447
Step-by-step explanation:
Given data :
p = 4% = 0.04
Assuming selections are independent for next 150 pieces
n = 150
a) Probability that 7,8,9 will be selected
P( 7,8,9 ) = 0.3140
b) probability that 7,8,9 will be selected using Poison approximation
P( 7,8,9 ) = 0.3098
c) using normal approximation to determine the probability from ( a )
P ( 7,8,9 ) = 0.3447
Attached below is the detailed solution
HELP HELP HELP I’ve BEEN STUCK ON THIS QUESTION IVE ASKED LIKE 3 TIMES ALREADY....ILL GIVE BRAINLY!!
Answer:
y = -3/4x - 3
Step-by-step explanation:
first lets find the slope what is rise over run
to get from (0, -3) to (-4,0) u have to rise 3 and go back 4
the slope would be -3/4
the last part is were it hits the y axis - ( -3) so it be -3
1. Write an equation of the line in slope-intercept form that passes through (4.2) and (8.–2).
Answer:
its (8+4)/(-2-2) so the slope is -3x
Step-by-step explanation:
Solvex2
- 4x=21
using the zero product property.
Answer:
The answer is (x + 3) (x - 7) = 0
Step-by-step explanation:
x² - 4x = 21
x² - 4x - 21 = 0
x² - 7x + 3x - 21 = 0
x(x - 7) + 3(x - 7) = 0
(x + 3) (x - 7) = 0
Thus, The answer is (x + 3) (x - 7) = 0
-TheUnknownScientist
Find the trig ratio. Reduce to
lowest terms.
6
А
8
[?]
sin A
US
Answer:
[tex]\frac{3}{5}[/tex]
Step-by-step explanation:
GIVEN :-
Measure of side opposite to ∠A (Perpendicular) = 6 unitsMeasure of side adjacent to ∠A (Base) = 8 unitsTO FIND :-
sin AFACTS TO KNOW BEFORE SOLVING :-
[tex]Hypotenuse = \sqrt{(Base)^2 + (Perpendicular)^2}[/tex][tex]\sin A = \frac{Side \: opposite \: to \: A}{Hypotenuse}[/tex]PROCEDURE :-
Measure of perpendicular of triangle = 6 units
Measure base of triangle = 8 units
Measure of Hypotenuse = [tex]\sqrt{(6)^2 + (8)^2} = \sqrt{36 + 64} = \sqrt{100} = 10 \: units[/tex]
Side opposite to ∠A = Perpendicular of triangle = 6 units
∴ sin A = [tex]\frac{6}{10} = \frac{3}{5}[/tex]
Which of the following is the quotient of the rational expression shown below? 2x+5/3x divided by 2x-1/2x+1
Find the x-intercepts of the parabola with
vertex (3,4) and y-intercept (0,-5).
Write your answer in this form: (X1,41), (X2,42).
If necessary, round to the nearest hundredth.
Enter the correct answer.
HELP PLEASE SOMEONE:(
Answer:
C. 5°F
Step-by-step explanation:
- 5°F + 5°F
0°F
y = a( x-h)^2 + k
h is the _______________________ shift.(+ shifts __________, shifts __________)k is the _______________________ shift. (+ shifts __________, shifts __________)If a is negative, the function is ____________________ across the ____- ________a1represents a vertical ________________________.a0 1represents a vertical ______________________.
can somebody help me fill this out plz
20 POINTS HELP FAST
Administrators surveyed students enrolled in a new school in order to choose the school mascot. There are 480 students enrolled in the school. What is the proportion needed to calculate the average number of students that chose the lion for the mascot?
Mascot Survey
Sample 1
Sample 2
Ducks
12
Ducks
8
Grizzlies
24
Grizzlies
30
Lions
20
Lions
22
Silverbacks
16
Silverbacks
12
StartFraction 21 over 72 EndFraction = StartFraction x over 480 EndFraction
StartFraction 72 over 21 EndFraction = StartFraction x over 480 EndFraction
StartFraction 42 over 72 EndFraction = StartFraction x over 480 EndFraction
StartFraction 20 over 22 EndFraction = StartFraction x over 480 EndFraction
Answer:
its D.
Step-by-step explanation:
Simplify the variable expression below as much as possible.
3x + 2y + 5-3
Answer:
3x+2y+2=0
3x=-2y-2
x=-(2y+2)/3
Step-by-step explanation:
Describe the sequence of transformations from quadrilateral WXYZ to W"X"Y"Z"
Answer:
[tex]G) (x,y)[/tex] → [tex](x-6,y+5)[/tex]━◦○◦━◦○◦━◦○◦━◦○◦━◦○◦━
hope it helps..
have a great day!!
Answer:
i got u i have your email
Step-by-step explanation:
(28.5-5. 190)-2
5-2
23
228
hay here is your answer and hope it's clear :) and if it's not clear [ download photo math] it maybe helpful for you ;)
Are ΔSUT and ΔXWV similar? If so, state the reason and the similarity statement.
Question 4 options:
A)
Yes; SSS; ΔSUT ∼ ΔXWV
B)
Yes; SAS; ΔSUT ∼ ΔXWV
C)
Yes; SSS; ΔTSU ∼ ΔXWV
D)
The triangles aren't similar.
Answer:
Yes (SSS) Triangle SUT is congruent to triangle XWV
Step-by-step explanation:
15/10 = 1.5
9/6 = 1.5
12/8 = 1.5
In ΔSUT and ΔXWV the given sides are in proportion. Therefore, option A is the correct answer.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
The given two triangles are ΔSUT and ΔXWV.
From the triangle SUT, SU=10, UT=8 and ST=6
From the triangle XWV, VW=12, XW=15 and VX=9
Now, SU/XW = UT/VW = ST/VX
10/15 = 8/12 = 6/9
2/3 = 2/3 = 2/3
The given sides are in proportion.
So, by SSS similarity ΔSUT∼ΔXWV
Therefore, option A is the correct answer.
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