Using the information given, it is found that:
a) 0.39
b) z = 1.96
c) s = 0.0218
d) M = 0.0428
e)
The lower bound is 0.3472.The upper bound is 0.4328.f) The 95% confidence interval is (0.3472, 0.4328), which means that we are 95% sure that the true proportion of boats who are in violation of one or more safety regulations is (0.3472, 0.4328).
Item a:
The point estimate is the sample proportion, hence:
[tex]\pi = \frac{195}{500} = 0.39[/tex]
Item b:
95% confidence level, hence [tex]\alpha = 0.95[/tex], the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
Item c:
The standard error is:
[tex]s = \sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
For this problem, [tex]\pi = 0.39, n = 500[/tex], hence:
[tex]s = \sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]s = \sqrt{\frac{0.39(0.61)}{500}}[/tex]
[tex]s = 0.0218[/tex]
Item d:
The margin of error is:
[tex]M = zs[/tex]
In this problem, [tex]z = 1.96, s = 0.0218[/tex], hence:
[tex]M = zs = 1.96(0.0218) = 0.0428[/tex]
Item e:
The lower bound is:
[tex]\pi - M = 0.39 - 0.0428 = 0.3472[/tex]
The upper bound is:
[tex]\pi + M = 0.39 + 0.0428 = 0.4328[/tex]
The lower bound is 0.3472.
The upper bound is 0.4328.
Item f:
The 95% confidence interval is (0.3472, 0.4328), which means that we are 95% sure that the true proportion of boats who are in violation of one or more safety regulations is (0.3472, 0.4328).
A similar problem is given at https://brainly.com/question/15136737
(3x3 - x2 - 7x + 6) -
(x + 2)
Answer:
13-10x
Step-by-step explanation:
Joke by G gallon of gasoline for $4.55 per gallon the secant of oil $5.25 per kid what expression can be used to determine the total amount Joe spent on gasoline and oil if he by 9.2 gallons of gasoline and then cans of oil how much did he spending all all
Answer:
He spent $90.16 in all.
Explanation
9 Gallons of Gasoline = $40.95
0.2 Gallons of Gasoline = $0.91
$40.95 + $0.91 = $41.86
9 Gallons of Oil = $47.25
0.2 Gallons of Oil = $1.05
$47.25 + $1.05 = $48.30
$41.86 + $48.30 = $90.16
is this alternate interior angles converse?
Answer:
yes DUH
Step-by-step explanation:
The sum of a number Y and -3 is -15. Pls help
Answer:
29. n - 4 = -15
31. y - 3 = -8
If a shopkeeper sells an article for $440 and loses 12% on the sale, find his cost price.
Step-by-step explanation:
440÷100×12
52.8
440-52.8
387.2
MARK ME BRAINLIEST PLSSSSSS
The cost price of the article is C = $ 500
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as C
Now , the value of C is
The selling price of the article is given as $440, and we know that the shopkeeper incurs a loss of 12% on the sale
Selling price = Cost price - Loss
Substituting the given values, we get
$440 = C - 0.12C
Simplifying this equation, we get:
$440 = 0.88C
Dividing both sides by 0.88, we get:
C = $500
Hence , the cost price of the article is $500
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Hi! ❤️ , im looking for some help here. ill give brainliest if able to.
Answer:
C. 6^6 = 46,656
Step-by-step explanation:
6^9 is the same as
6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 which equals 10,077,696. (yes, I used a calculator for this part, btw)
6^3 is the same as 6 × 6 × 6 which equals 216.
10,077,696 ÷ 216 = 46,656
Now we find the answer choice that also equals 46,656.
A. 12^6 = 2,985,984
B. 6^3 = 216
C. 6^6 = 46,656
D. 6^-5 = 1/7776 or 0.0001
Hope this helps :)
A deposit of $6,500 was invested and has grown to $8,300 in 5 years. The growth in value was via simple interest, calculated on the basis of the initial investment. Calculate the interest rate.
Round your answer to the nearest tenth of a percent.
Do NOT round until you have calculated your final answer.
f(x) = х2. What is g(x)?
Answer:
C
Step-by-step explanation:
Ordenered pairs of g(x):
(0,0); (2,1); (- 2,1)
g(x) = ax² + bx + c
a.0² + b.0 + c = 0
c = 0
a.2² + b.2 + c = 1
4a + 2b = 1
a.(- 2)² + b.(- 2) + c = 1
4a - 2b = 1
4a + 2b = 4a - 2b
2b + 2b = 0
4b = 0
b = 0
4a + 2b = 1
4a = 1
a = 1/4
g(x) = (1/4)x² + 0x + 0
g(x) = (1/4)x²
g(x) = (1/2x)²
I hope I've helped you.
1 thousand = how many ones
Answer:
1
Step-by-step explanation:
I'm not completely sure what you mean, in 1000 there is 1 one, and 3 threes
The volume of a cube is given by s^3, where s is the side length of the cube. What is the difference between the volumes of two cubes with side lengths of 5 meters and 4 meters?
Simplify the expression (3.2b+0.8) + 1.96
Answer is 3.2b +2.76
A field having length 120ft and width 90ft has squared pond with edge 20ft find the area of the field excluding the pond.
What is the value of 3+6 - 9+12+15-18 +21+ 24 - 27+ ... +84 +87 - 90?
Graph the following features:
• Y - intercept = 5
• Slope = 1/3
Answer:
Use rise over run
Step-by-step explanation:
You go start at 5 on the y-axis and go up on and to the right 3
On his vegetable stand, Mr. Louis has 12 cucumbers, 17 tomatoes, 31 bell peppers, and 12 carrots. What is the ratio of cucumbers to the total number of vegetables?
Answer:
12 to 72
Step-by-step explanation:
what is the answer to this ?
Answer:
31 and 13
Step-by-step explanation:
let the 2 numbers be x and y , with x > y , then
x + y = 44 → (1)
y = x - 18 → (2)
Substitute y = x - 18 into (1)
x + x - 18 = 44
2x - 18 = 44 ( add 18 to both sides )
2x = 62 ( divide both sides by 2 )
x = 31
and
y = 31 - 18 = 13
The 2 numbers are 31 and 13
Coach Roberts ordered 16 trophies from the Finish Line sports shop to give to each player at the end of the season. Since this was a bulk order, Finish Line reduced the price of each trophy by $3. Coach Roberts paid $152 in all. How much does Finish Line normally charge for a trophy?
Answer:
$12.50
Step-by-step explanation:
Divide the total amount by the number of trophies
152 ÷16 = 9.5
than add 3 to your total
9.5 + 3= 12.5
since where dealing with money add a zero and a dollar sign.
$12.50
The finish line normally charges $12.5 for a trophy.
Given that, coach Roberts ordered 16 trophies from the Finish Line sports shop to give to each player at the end of the season.
We need to find how much finish Line normally charges for a trophy.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the usual cost of each trophy be x.
Finish Line reduced the price of each trophy by $3.
Then, the cost of the trophy=x-3
Now, coach Roberts paid $152 in all.
So, 16(x-3)=152
⇒16x-48=152
⇒16x=200
⇒x=12.5
Therefore, the finish line normally charges $12.5 for a trophy.
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What is the mean of the following series : 2, 2, 2, 4, 4, 5, 5, 6, 8, 11, 12, 16 and 18 ?
add up the number s
2+2+2+4+4+5+5+6+8+11+12+16+18
=95
count the given numbers
the numbers are 13
divide the total numbers(95) by 13
95/13
=7
Answer:
95----13Step-by-step explanation:
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Information about two baseball cards is given below.
Baseball card A has a current value of $50. The value is expected to increase exponentially, multiplying every 2 years by 1.06.
Baseball card B has a current value of $40. The value is expected to increase exponentially, multiplying every 2 years by 1.08.
Which inequality can be used to determine t , the number of years from now when the expected value of card A is AT LEAST the predicted value of card B?
A
50(1.06)t/2≥40(1.08)t/2
B
50(1.06)2t≥40(1.08)2t
C
50(1.06)t/2≤40(1.08)t/2
D
50(1.06)2t≤40(1.08)2t
Answer:
answer is b i took the test
Step-by-step explanation:
what is (0.6) to the 2nd power=
Answer:
I think 0.36
Step-by-step explanation:
if not im so sorry
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{(0.6)^2}}[/tex]
[tex]\huge\boxed{\rightarrow \mathsf{0.6^2}}[/tex]
[tex]\huge\boxed{\mathsf{\rightarrow 0.6\times0.6 }}[/tex]
[tex]\huge\boxed{\rightarrow \mathsf{0.36}}[/tex]
[tex]\huge\boxed{\star}\ \huge\text{Therefore, your answer is: \boxed{\textsf{0.36}}}\ \huge\boxed{\heartsuit}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]what is 2 1/5+3 1/2 the answer
Answer:
57/10
57/10
57/10
57/10
57/10
If thrice of the sum of a number and 2 is less than or equal to the twice of the difference of 3 and the number, then solve inequality .
I'm glad I could help you with the assignment
i mark brainliest for the anwser please help soon
Answer:
36
Step-by-step explanation:
2x3x6 = 36
(height x length x width) That will always b the equation. Just multiply all of them together.
Answer:
36cmStep-by-step explanation:
refer to the attachment
Cual es la fracción de el decimal 1.257
Answer:
[tex]\frac{1257}{1000}[/tex]
Step-by-step explanation:
Un número decimal se puede escribir como una fracción si se multiplica por
[tex]\frac{10 \cdot \text{la cantidad de numeros despues del punto}}{10 \cdot \text{la cantidad de numeros despues del punto}} \cdot \frac{x}{1}[/tex]
Siendo [tex]x[/tex] el número decimal a convertir en fracción.
Ya que este decimal tiene 3 números después del punto se tiene que multiplicar por [tex]10 \cdot 3 = 1000[/tex]
[tex]\frac{1.257}{1} \cdot \frac{1000}{1000} = \frac{1257}{1000}[/tex]
Debido a que no se puede simplificar la fracción el resultado es [tex]\frac{1257}{1000}[/tex]
−6.6x = −4
What is the solution to the equation?
Enter your answer as a simplified fraction in the box.
[tex]x \frac{20}{30} \\ \\ in \: \: alternate \: \: form \\ \\ x = 0.60[/tex]
hope it helpssee the attachment for explanation
Please help me, I need answers quickly.
Answer:
1) initial investment is A.200
2) interest rate is F. 8%
3) D. 16 years
4) H. 520
tell me if anything is wrong
Step-by-step explanation:
HELPPP PLEASEEE!!!!!
HELPP!!
when patrick henry said “your president may easily become a king” what did he mean by that
he meant that if his president beats him in a 1v1 he can easily become a king. thank me later
Answer:
i don't know who patrick henry is but by what it sounds i think he means that if the president keeps getting reelected then he will have no restrictions on his power .
Step-by-step explanation:
Given that m||n, find the value of x.
corresponding angles are equal
2x+5=1352x=135-52x=130x=130/2x=65The angles are corresponding same side interior angles so they must be equal
[tex]\\ \tt{:}\longrightarrow 2x+5=135[/tex]
[tex]\\ \tt{:}\longrightarrow 2x=130[/tex]
[tex]\\ \tt{:}\longrightarrow x=65[/tex]
In the graph the area below
Answer:
the answer isit's 90°¢
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