The most appropriate values are:
z = - 2.23
The corresponding probability is : 0.01297
Mean, μ = 45
Standard deviation, σ = 5
Sample size, n = 31
The standard score, Z ; Since distribution is normal is obtained thus;
Z= (x - μ) ÷ (σ/√n)
For, x = 43
Z = (43 - 45) ÷ (5/√31)
Z = - 2.227
The probability :
Using the standard normal distribution table:
P(Z < - 2.227)
P = 0.01297
Hence, Z = - 2.23
P(x ≤ 43) = 0.0129
Learn more on Z probability :
https://brainly.com/question/4555552
2sin^2(2x) + 1 = 3sin(2x) Solve for x with exact answers. The domain is 0 ≤ x ≤ π
Answer:
x = π/12 and x = π/4.
Step-by-step explanation:
2sin^2(2x) + 1 = 3sin(2x)
2sin^2(2x) - 3sin(2x) + 1 = 0
(2sin(2x) - 1)(sin(2x) - 1) = 0
2sin(2x) - 1 = 0
2sin(2x) = 1
sin(2x) = 1/2
When there is a variable n = π/6, sin(π/6) = 1/2 [refer to the unit circle].
2x = π/6
x = π/12
sin(2x) - 1 = 0
sin(2x) = 1
When there is a variable n = π/2, sin(π/2) = 1 [refer to the unit circle].
2x = π/2
x = π/4
Hope this helps!
Helppppppp
What’s is the equation of the new function?
Answer:
C
Step-by-step explanation:
If the graph is shifted 10 units down, the equation will be sqrt(x) + 10
8. Point Mis 6 units away from the origin. Circle the letter by each pair of possible coordinates. A. (3.0) B. (4.2) C. (5,3) D. (0.6) E. (4.4) F. (1,5)
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Answer:
D. (0, 6)
Step-by-step explanation:
The origin is where the axes cross. The coordinates of that point are (0, 0). The distance of a point (x2, y2) from point (x1, y1) is given by the distance formula ...
d = √((x2 -x1)² +(y2 -y1)²)
When (x1, y1) = (0, 0), this reduces to ...
d = √(x² +y²)
We want to find (x, y) such that d=6. This can be a little easier if we square both sides of the equation to eliminate the radical.
x² +y² = 6² = 36
This is the equation of a circle of radius 6 centered at the origin: all points that are distance 6 from the origin. So, any point on the circle will be at a distance of 6 from the origin.
__
The sum of squares in each case is ...
A. 3² +0² = 9 . . . inside the circle
B. 4² +2² = 20 . . . inside the circle
C. 5² +3² = 34 . . . inside the circle
D. 0² +6² = 36 . . . on the circle at a distance of 6 from the origin
E. 4² +4² = 32 . . . inside the circle
F. 1² +5² = 26 . . . inside the circle
a word problem on proportions using a unit rate
Lashonda made $273 for 13 hours of work.
At the same rate, how many hours would she have to work to make $231?
hours
Х
?
eleven hours - 11 hours
the product of two rational number is _______ number
give answers this question
Answer:
rational number
Step-by-step explanation:
multiplying two rationals is the same as
multiplying two such fractions, which will
result in another fraction of this same form
since integers are closed under
multiplication. Thus, multiplying two rational numbers produces another rational number.
"The product of two rational number is rational" So, multiplying two rationals is the same as multiplying two such fractions, which will result in another fraction of this same form since integers are closed under multiplication.Sep 5, 2020
Laxman and Virat together can complete a piece of work in 8 days and Laxman alone can complete it in 12 days in how many days would Bharat alone complete the work
Answer:
14 days
Step-by-step explanation:
The most frequently occuring value in a set is called the
Answer:
Step-by-step explanation:
The mode is the correct answer
Amy, Hong, and David have a total of $102 in their wallets. Amy has $6 less than Hong. David has 4 times what Hong has. How much does each have?
Answer:
12,18, and 72 respectively
Step-by-step explanation:
102=A+H+D
A+6=H
D=4H=4(A+6)=4A+24
102=A+H+D=A+A+6+4A+24
102=6A+30
6A=72
A=12
H=18
D=72
Find the volume of the following figure round your answer to the nearest tenth if necessary
Answer:
5.3
Step-by-step explanation:
2×2×4/3
= 5.3 (rounded to the nearest tenth)
A model rocket is launched with an initial upward velocity of 30 m/s. The rockets height (in meters) after t seconds is given by the following. h=30t-5t2. Find all values of t for which the rockets height is 10 meters
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Answer:
t = 3-√7 and 3+√7 seconds after launch
Step-by-step explanation:
You want to find the values of t that make h=10.
10 = 30t -5t^2
t^2 -6t = -2 . . . . . divide by -5
t^2 -6t +9 = 7 . . . add 9 to complete the square
(t -3)^2 = 7 . . . . . write as a square
t -3 = ±√7 . . . . . . take the square root
t = 3 ±√7 . . . . . . values of t for which height is 10 meters
__
These values are about 0.354 seconds, and 5.646 seconds.
Aaron Lloyd what is a?
Answer:
Rugby lawyer
Step-by-step explanation:
Aaron is a partner in the firm’s dispute resolution division. He advises clients on a range of litigious and risk related matters, with particular expertise in the areas of corporate misconduct, white collar criminal and regulatory affairs, sports law and employment law. Aaron leads our sports law practice, and is a member of the firm’s health and safety, public law, and organisational integrity teams.
Well regarded by clients for his ability to analyse and strategise complex situations, Aaron is internationally recognised for his ability to implement pragmatic and commercial strategies to minimise risk and create opportunity. This ability has resulted in clients avoiding significant litigation and commercial consequences.
Aaron is an experienced advocate, having argued cases in the District Court, High Court, Employment Court, the Court of Appeal and Supreme Court of New Zealand, along with numerous tribunals.
He is recognised by international legal directories including by Chambers & Partners (Asia Pacific), Who’s Who Legal, Expert Guides, Best Lawyers and Doyles.
Before joining MinterEllisonRuddWatts Aaron practiced as a barrister with Paul Davison QC, and has lectured at the University of Auckland.
using sets what is the intersection of a=(-2-1,0,1,7) I=(-2,-1,1,2,8)
QUESTION 4
Convert 4% to a decimal I
Answer:
0.04
Step-by-step explanation:
hope this helped
If a state issued license plates using the scheme of 3 letters followed by 3 digits, how many plates could it issue?
Answer:
17,576,000
Step-by-step explanation:
there are 26 english letters (A-Z) and 10 digits(0-9).
there are 3 spaces for letters. therefore Any of the 26 letters can be combined with any 26 other letters and any of those can be combined with any of another 26 letters.
26*26*26= 17576
similarly 10 digits can combined in 1000 ways
10*10*10=1000
17576 letter combination can combine with 1000 digits combination.
so 17,576 x 1000 = 17,576,000 different plates could issue.
help whats the volume of this
Answer:
93.6
Step-by-step explanation:
The easiest way for me to complete this was to break it up into parts. I Separated the small triangle and the big triangle. I turned them both into squares and multiplied the dimensions. I then divided those by two and added them together.
Which number is divisible by 5? 108 109 69 55
Answer:
55
Step-by-step explanation:
Any number that's ends with the digit 0 or 5 is divisible by 5.
Hi there!
»»————- ★ ————-««
I believe your answer is:
D) 55
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Option A:}}\\\\108/5 = 21.6\\\\\boxed{\text{Option B:}}\\\\109/5 = 21.8\\\\\boxed{\text{Option C:}}\\\\69/5 = 13.8\\\\\boxed{\text{Option D:}}\\\\55/5 = \boxed{11}[/tex]
⸻⸻⸻⸻
55 is divisible by 5. You can also tell that it is divisible because it's last place digit is a '5'.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Decimal divison need answer no pdf
Answer:
1.84
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Michelle rode her bicycle from her house to school at an average speed of 8 miles per hour. Later that day, she rode from school back home along the same route at an average speed of 12 miles per hour. If the round trip took one hour, how many miles long is the round trip?
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Answer:
9.6 miles
Step-by-step explanation:
Let x represent the round trip distance. Then Michelle's time was ...
t = distance/speed
1 = (x/2)/8 +(x/2)/12 = x(1/16 +1/24) = x(3/48 +2/48) = x(5/48)
48/5 = x = 9.6
The round trip is 9.6 miles.
The area of a parallelogram is 60 f2.
The height is 5 ft. How long is the
base?
Answer:
12 feet
BRAINLIEST, PLEASE!
Step-by-step explanation:
Area = base x height
60 = base x 5
base = 60/5
base = 12
Solve for X
Answer choices
4
5
8
3
2
Answer:
Because we are given that angle XYZ = 95°, the two angles must add up to 95°
A concern of Major League Baseball is that games last too long. Some executives in the league's headquarters believe that the mean length of games this past year exceeded 3 hours (180 minutes). To test this, the league selected a random sample of 80 games and found the following results: = 193 minutes and s = 16 minutes.
Based on these results, if the null hypothesis is tested using an alpha level equal to 0.10, which of the following is true?
a. The null hypothesis should be rejected if xbar > 182.31.
b. The test statistic is t = 1.2924.
c. Based on the sample data, the null hypothesis cannot be rejected.
d. It is possible that when the hypothesis test is completed, a Type II statistical error has been made.
Answer:
it is possible that when the hypothesis test is completed,a type ll statistical error has been made
last year a football game scored a total of 427 points, so far this year, they have scored 154 points. They have eight more regular season games. How many points do they need to score each game to beat their record last year?
Answer:
35 points
Step-by-step explanation:
See photo
What are the coordinates of point S"?
Answer:
point s: (-2,6)
-2 is the x coordinate
6 is the y coordinate
Find the value of x and y is (3x_6) (12,y-1)
Answer:
x=4
y=7
Step-by-step explanation:
12=3x
x=4
6=y-1
y=6+1
y=7
Answer:
x=4
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all fractions.
Thanks In advance
Answer:
2x+2y=-18
2y=-2x-18
y=-x-9
hope that answers your questipn
dont hesitate to comment for more explanation about this topic.
Differentiate y=2x+200/x with respect to x
Answer:
Hello,
[tex]\boxed{y'=2-\dfrac{200}{x^2} }\\[/tex]
Step-by-step explanation:
[tex](f(x)+g(x))'=f'(x)+g'(x)\\\\(2x)'=2*(x)'=2*1=2\\\\(\dfrac{200}{x} )'=200*(x^{-1})'=200*(-1)*x^{-1-1})=-\dfrac{200}{x^2} \\\\\\\boxed{y'=2-\dfrac{200}{x^2} }\\[/tex]
Answer:
[tex] \frac{dy}{dx } = 2 - \frac{200}{ {x}^{2} } [/tex]
Step-by-step explanation:
[tex]the \: equation \: can \: be \: rewriten \: as \\ y = 2x + 200 {x}^{ - 1} \\ \\ now \: differentiate \: the \: equation\ \\ \frac{dy}{dx} = 2 - 200 {x}^{ - 2} \\ \frac{dy}{dx} = 2 - \frac{200}{ {x}^{2} } [/tex]
Which table contains ordered pairs that lie on the graph of the equation -2x + 4y = 16?
Answer:
C
Step-by-step explanation:
To figure out which pairs lie on -2x+4y = 16, we can plug the x and y values into the equation to see if they work. We need all pairs of x and y values in a table to work for the answer to be correct
A)
x=-4, y=2
-2x+4y = -2 * (-4) + 4 * (2) = 8 + 8 = 16. This works. Note that two negatives multiplied together make a positive, and 4*2 = 8
x=0, y=8
-2x + 4y = -2 * (0) + 4 * (8) = 0 + 32 = 32. This does not work, as 32 is not 16. Note that anything multiplied by 0 is 0
B)
x=8, y=0
-2x+4y = -2 * (8) + 4 * (0) = -16. This is not equal to 16. Note that a negative multiplied by a positive is still a negative
x=2, y=3
-2x + 4y = -2 * (2) + 4 * (3) = -4 + 12 = 8. This is not equal to 16.
C)
x=0, y=4
-2x + 4y = -2 * (0) + 4 * (4) = 0 + 16 = 16. This works
x=4, y=6
-2x + 4y = (-2)* (4) + 4 * (6) = -8 + 24 = 16. This works. As both pairs of values in the table works, this is the correct answer. Nevertheless, we can check D to make sure.
D)
x=-2, y=5
-2x+4y = -2 * (-2) + 4 * (5) = 4 + 20 = 24. This is not 16
x=-8, y=0
-2x+4y = -2 * (-8) + 4 * (0) = 16. This works, but the other pair does not work, so D is incorrect
Answer:
C
Step-by-step explanation:
Edge 2022
Write the equation in standard form.
x2 + 6 = 5x
Answer:
Step-by-step explanation:
x2 + 6 = 5x
2x-5x = -6
3x = -6
x = -6/3
x = -2
Answer:
[tex]x^{2} -5x + 6 =0[/tex]
Step-by-step explanation:
Which of the following graphs is the same as y = log12X?
Answer:
Step-by-step explanation:
What does 1.20 mean in this situation?
Answer:
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