Using the Central Limit Theorem, it is found that the condition is not met, as there are less than 10 failures.
What does the Central Limit Theorem states?It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].
In this problem, 34 of the 40 seniors are planning to participate in graduation, hence:
np = 34.n(1 - p) = 6 < 10.Since there are less than 10 failures, the normal condition for finding a confidence interval is not met.
More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213
Sketch a graph x - y =5
Answer:
Step-by-step explanation:
*View attached graph*
Hope this helps!
18.
Given that sin x =
8
and sin y = , where x and y are acute, find the value of cos (x + y).
17
A.
B.
130
221
140
221
140
204
220
22
C.
D.
Answer:
B
Step-by-step explanation:
[tex]\sin{x}=\frac{5}{13}, \cos{x}=\sqrt{1-(\frac{5}{13})^2}=\frac{12}{13}[/tex]
[tex]\sin{y}=\frac{8}{17}, \cos{y}=\sqrt{1-(\frac{8}{17})^2}=\frac{15}{17}[/tex]
[tex]\cos(x+y)=\cos{x}\cos{y}-\sin{x}\sin{y}\\=\frac{12}{13}\times\frac{15}{17}-\frac{5}{13}\times\frac{8}{17}\\=\frac{140}{221}[/tex]
Evaluate the expression for x = 6 and y = 4.
xy-3y =
Answer:
Answer:
12
Step-by-step explanation:
Since given that:
x = 6 and y = 4
we can substitute:
xy - 3y
(6)(4)-3(4) {6*4 = 24}
24 - 3(4) {3*4=12}
24 - 12 = 12
Hence, the answer = 12
~lenvy~
Answer: 12
Step-by-step explanation:
Given:
xy - 3y
Plug-in the values we know:
(6)(4) - 3(4)
Multiply 6 by 4 and 3 by 4:
24 - 12
Subtract:
12
xy - 3y = 12
A test requires two hours to attend five questions if a candidate spent 80 minutes on the first two question what fraction of the time did he spend on the remaining three question
Answer:
He spent ⅓ of the time on the remaining three questions.
Step-by-step explanation:
Let's first figure out what the question gives us, and what we need to find.
Given:
Test - 2 hours, 5 questions
Candidate - 80 minutes, 2 questions
Find:
Fraction of time he spent on remaining three questions
Start by finding the fraction of time that he spent on the first two questions.
Set up an unit converter to convert two hours to minutes.
[tex]2$ hours($\frac{60\text{ minutes}}{1 \text{ hour}})=2\cdot 60\text{ minutes}=120$ minutes[/tex]
Let "x" represent the fraction of time the candidate spent on the first two questions...
[tex]x=\frac{\text{Amount of Time spent on First Two Questions}}{\text{Total Time}}\\x=\frac{80\text{ minutes}}{120\text{ minutes}}[/tex]
[tex]x=\frac{80}{120}[/tex]
[tex]x=\frac{8}{12}[/tex]
[tex]x=\frac{2}{3}[/tex]
Let "y" represent the fraction of time the candidate spent on the remaining three questions...
[tex]y=1-\text{Fraction of Time spent on First Two Questions}\\y=1-\frac{2}{3}\\[/tex]
[tex]y=\frac{3}{3}-\frac{2}{3}\\[/tex]
[tex]y=\frac{1}{3}[/tex]
He spent ⅓ of the time on the remaining three questions.
Find x and y values that make both y = 2x – 5 Y=-2/3x+ 3 true.
-
-
Use the sketch tool if it helps you with your thinking.
Submit
Answer:
See below ↓
Step-by-step explanation:
Let's find the x and y values.
Step 1 : Equate the y expressions.
The two equations have given different values for yTherefore by equating them, we can solve for x2x - 5 = -2/3x + 3Step 2 : Convert fractions in the equation to whole numbers.
The value -2/3 is a fractionWe can make it a whole number if multiply throughout by the value of its denominator ⇒ 33(2x - 5) = 3(-2/3x + 3)6x - 15 = -2x + 9Step 3 : Bring x terms to one side and constant terms to the other.
6x + 2x = 9 + 158x = 24x = 3Step 4 : Solve for y by plugging the value of x into one of the given equations.
y = 2(3) - 5y = 6 - 5y = 1what is the five-number summary of this data set? 852,687,515,986,907,784,967,685,965
Min is 515
What is Q1, Q2,Q3?
Max is 986
Answer:
so q1 is 686 q2 is 852 q3 is 966
Step-by-step explanation:
hope this helps
PLEASE HELP! Match the steps to find the equation of the parabola with focus (-1, -8) and directrix y = - 12.
Answer:
3,2,1,6,5,4
Step-by-step explanation:
Hope this helps!!!
All the correct steps to find the equation of the parabola with focus (-1, -8) and directrix y = - 12 are,
1. 2p + (- 8) = - 12 Find p
2. Since the focus is at - 1, Find the x - coordinates for the vertex.
then, vertex is at - 1
3. y = - 8 - 2 Find the x - coordinates for the vertex.
4. (- 1, - 10) Vertex coordinates
5. (x + 1)² = 4(-2) (y+10) Write the formula for the parabola.
6. (x + 1)² = -8 (y+10) Simplify the formula.
Given that,
In a parabola,
Focus = (-1 , - 8)
And, Directrix =; y = - 12
The standard equation of a parabola is,
[tex]y = - p (x - h)^2 + k[/tex]
Where, (h, k) is the vertex of the parabola.
Now, the Statement with reason to find the equation of a parabola is,
Statement Reason
1. 2p + (- 8) = - 12 Find p
p = - 2
2. Since the focus is at - 1, Find the x - coordinates for the vertex.
then, vertex is at - 1
3. y = - 8 - 2 Find the x - coordinates for the vertex.
y = - 10
4. (- 1, - 10) Vertex coordinates
5. (x + 1)² = 4(-2) (y+10) Write the formula for the parabola.
6. (x + 1)² = -8 (y+10) Simplify the formula.
To learn more about parabolas visit:
https://brainly.com/question/29635857
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Your new computer cost $1500 but it depreciates in value by about 18% each year. About how long will it take before your computer is worth close to zero dollars, according to your equation?
Answer:
5.5 years
Step-by-step explanation:
100/18 = roughly 5.5 years (5.55555556 to be exact)
Hope this makes sense.
Jackie has three pieces of ribbon Two of the pieces are q.75 inches in length and the other piece is 6.8 inches long. What is the combined length of Jackie's ribbons?
Answer:
7.55 inches
Step-by-step explanation:
Add the two values together:
0.75 + 6.8 = 7.55
The combined length of Jackie's ribbons is 7.55 inches!
If P = (-6, 9), Find:
r90°(P)
([?], [ ]
Answer:
(-9, -6)
Step-by-step explanation:
Rotation 90° = (x, y) --> (-y, x)
(-6, 9) --> (-9, -6)
hope this helps and is right!! p.s. i really need brainliest :)
What is 1 + 1 x 2 Whoever answers it gets brainiest
Answer:
It's equals 3
Step-by-step explanation:
1 + 1 x 2=3
Answer:
3
Step-by-step explanation:
PEMDAS --> Multiply and divide (left to right) (1 x 2 = 2)
Add and subtract (left to right) (1 + 2 = 3)
I need someone to solve this ASAP.
Answer:
320 ft² (nearest whole number)
Step-by-step explanation:
Given:
height of fence post = 8 ftdiameter of fence post = 1 ft ⇒ radius = 0.5 fttotal number of posts = 12π = 3.14Surface area of a cylinder = 2πr² + 2πrh
⇒ SA of one fence post = 2 · 3.14 · 0.5² + 2 · 3.14 · 0.5 · 8
= 1.57 + 25.12
= 26.69 ft²
As there are 12 fence posts,
Total paint needed = 12 × 26.69
= 320.28 ft²
= 320 ft² (nearest whole number)
A bag of candy has a mass of 80 g. A chocolate bar has a mass of 110 g. What is the total mass of the bag of candy and the chocolate bar? (10 points) [help if you want points!]
total mass = mass of a bag of candy + mass of a chocolate bar
total mass = 80g +110g = 190g
what is 247*367 can you please help
Answer:
90,649
Step-by-step explanation:
Hey! So I'm going to help you through this problem in two ways! One with a calculator where you'll just get the answer, and also handwritten, just in case you aren't able to use a calculator on a future assignment or test! :)
By calculator, 247 × 367 = 90,649
I hand calculated in the image below, and with each step after multiplying the number in ones place in the bottom number (the lowest number) by each of the top numbers (the biggest number), I add an extra zero before adding my multiplication for each place!
So! With 2 ways to do it depending on your class or preference, your answer is 90,649 :)
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Answer:
90,649
Step-by-step explanation:
hope this helps!!!!!
What is the area?
This is 6th grade math
Answer:
Find the base, and then the height of this rhombus;
Base: 7 square units
Height: 7 square units
Multiply your base by the height to get the area;
Because the formula for the area of a rhombus is, A = BH
So,
A = 7(7)
A(area) = 49 square units.
121.45 - 80.28 = ___
A.
39.97
B.
42.27
C.
41.13
D.
41.17
Answer:
D.
41.17 because it is possible answer to the question
Help help help help help
Answer:
y = -1x + 7
Step-by-step explanation:
Slope intercept formula: y = mx + b
m = slope
b = y-intercept
Given:
slope = -1
y-intercept = 7
Substitute the given values into the slope-intercept formula: y = mx + b
y = -1x + 7
hope this helps!! p.s. i really need brainliest :)
Which equation represents the sentence, "The sum of three times p and twenty-five is q"?
A. (3 + 25) = q
B. 3(p + 25) = q
C. 3p – 25 = q
D. (3p + 25) = q
Answer:
D. (3p + 25) = q
what is the mean of 13,5,11,8,14,15
Answer:
11
Step-by-step explanation:
The mean is the average. To find the average, add up all the numbers, then divide by the amount of numbers there are. 13 + 5 + 11 + 8 + 14 + 15 = 66. There are 6 numbers. 66 divided by 6 = 11.
Answer:
11 is your mean
What is 8x25 to ding out the answer please
Please I need help please help
Answer: 8x25= 200
Step-by-step explanation: 200
Answer:
8×25
=200 is the answer ok
Mindy has already saved $20 and plans to save $8 each month.Georgette has no money saved yet but plans to to save $5 each month.Will the girls ever have saved the same amount?
Answer:
no
Step-by-step explanation:
because mindy has already saved $20 and is putting $8 which is more than the amount georgette is putting (monthly) and plus georgette has no money saved so basically mindy will have more money saved
What is the value of the expression (6 + 3)2
15
18
45
81
Answer:
Probably 81.
Maybe 18.
See explanation below.
Step-by-step explanation:
(6 + 3)² = 9² = 9 × 9 = 81
(6 + 3) × 2 = 9 × 2 = 18
I think you mean the first expression in which 2 is an exponent, but since it's not clear, I solved it both ways.
I typically give 12% of money I receive to my church. My uncle died recently and left me some money. I donated $408 to my church in his memory. How much did he leave to me in his will?
your uncle left you with "x" total, which is the 100%, now, we also know that 408 is 12% of that, so
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 408& 12 \end{array} \implies \cfrac{x}{408}=\cfrac{100}{12}\implies \cfrac{x}{408}=\cfrac{25}{3} \\\\\\ 3x=10200\implies x=\cfrac{10200}{3}\implies x=3400[/tex]
CAN SOMEBODY HELP ME SOLVE THIS EQUATION
Gabriella has the following winter accessories:
1 winter coat: black
2 hats: blue, purple
2 pairs of boots: black, brown
5 pairs of mittens: black, blue, purple, red, white
Find the probability of wearing the coat with the purple hat, black boots, and purple mittens.
Find the probability of wearing the coat with the purple hat,black boots,purple mittens?
Answer:
4/10 = 2/5
2/5 is thr probability of her wearing coat with purple hat, black boots and purple mittens
How many possible outcomes exist? 2 3 5 6
Answer:
1.) C2.) C3.) D4.) D5.) C
Step-by-step explanation:
Each letter in the word THEORETICAL is written on a separate slip of paper and placed in a hat. A letter is chosen at random from the hat.
d. Find a word for which the probability that you choose R when you randomly choose a letter from the word is 2/5.
Answer:
parry
Step-by-step explanation:
You are looking for a 5-letter word that has two letters R in it. One such is ...
parry
What is 45% of 69/3???
Answer:
10.35
Step-by-step explanation:
69/3 = 23
45% of 23 = 10.35
Answer:
10.35
Step-by-step explanation:
69/3 = 23
45% of 23 = 10.35
Why are you deleting my answers??
In a basketball game, Shawna made 8 baskets, each worth 3 points.
Daryl made the same number of points in the game but made only baskets worth 2 points.
How many baskets did Daryl make?
A.
6 baskets
B.
9 baskets
C.
12 baskets
D.
24 baskets
Answer: Shawna made 8 baskets worth 3 which mean it's 24. if Daryl made the same shots but worth 2 it would equal 16 . 8 x 2=16
Step-by-step explanation: I can see that 16 is not an answer choice so but if they mean that 2 was taken off of 8 then 6x2=12 so 12 would be your answer. hope this helped :)
The local women's club baked 196 pies. One pie dropped onto the floor and
was thrown away. If they give equal amounts of the remaining pies to each
of two schools, how many whole pies would each school receive?
100 pies
96 pies
97 pies
98 pies
Answer:
97
Step-by-step explanation:
196 ÷ 2 = 97.5
you cannot include the .5, so each school gets 97 pies