Answer:
85
Step-by-step explanation:
12 in = 1 ft
first you need to convert 60ft to in:
60 * 12 = 720in
then divide 720(the amount of space you are covering by 8.5
720/8.5 = 84.7
then i guess you can round it to a full revolution so it would be 85
(1 point) Dylan wants to determine a 99 percent confidence interval for the true proportion p of high school students in the area who attend their home basketball games. Out of n randomly selected students he finds that that exactly half attend their home basketball games. About how large would n have to be to get a margin of error less than 0.01 for p
Answer:
n would have to be at least 16577
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Out of n randomly selected students he finds that that exactly half attend their home basketball games.
This means that [tex]\pi = 0.5[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
About how large would n have to be to get a margin of error less than 0.01 for p
A sample size of n is needed. n is found when M = 0.01. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.01 = 2.575\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.01\sqrt{n} = 2.575*0.5[/tex]
[tex]\sqrt{n} = \frac{2.575*0.5}{0.01}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*0.5}{0.01})^2[/tex]
[tex]n = 16576.6[/tex]
Rounding up
n would have to be at least 16577
When the error margin is smaller than 0.01, the value of n will be 16576.6.
What is a confidence interval?The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval.
Given that;
Confidence interval = 99 %
Randomly selected students,n
margin of error,M0.01
The margin of error for the given information is;
[tex]\rm M = z \frac{\sigma(1-\sigma)}{n} \\\\\ 0.01 = 2.575 \frac{0.5(0.5)}{n} \\\\ 0.01 \sqrt n = 2.575 \times 0.5 \\\\ \sqrt n = \frac{2.575 \times 0.5}{0.01} \\\\ n = 16576.6[/tex]
Hence, the value of n for which the margin of error is less than 0.01 will be 16576.6.
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i gotta brand new whip
Answer:
no keys
Step-by-step explanation:
40 + 15h=73 + 12h
what does h equal
Answer:
h=11
Step-by-step explanation:
besties if your looking for 50+ points and brainliest plz answer this correctly thanks
A community center offers yoga classes for $8 per month plus an additional $0.25 per center floor mat used.
Write an equation to express this relationship, using m to represent the number of mats used per month and C to represent the total cost in dollars.
Let p and q represent the following simple statements:
p: The taxes are high.
q: The job pays well.
Write the following compound statement in its symbolic form.
The taxes are high and the job pays well.
The symbolic form is
Answer: [tex]p \ \wedge \ q[/tex]
The upside down V symbol is known as a wedge. It represents a conjunction which is informally the "and". In other words, [tex]p \ \wedge \ q = \text{p and q}[/tex]
Note how we can replace p with "the taxes are high" and replace q with "the job pays well" to arrive at the overall compound statement "The taxes are high and the job pays well".
Some logic textbooks will use an ampersand symbol & to be used in place of a wedge. It will depend on the notation that they, or your teacher, has set up.
A data set has these values: 10, 12, 12, 14, 14, 14, 14, 16, 16, 18. The
histogram of the distribution is shown.
Which statement does not describe the data set?
A. It has a median of 14
B. It is symmetric
C. It has a range of 19.
D. It has a mode of 14
The correct statement which does not describe the data set is,
⇒ It has a range of 19.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
A data set has these values:
⇒ 10, 12, 12, 14, 14, 14, 14, 16, 16, 18
Hence, We get;
Range = 18 - 10 = 9
Median = 10/2 + 1 term
= 5 + 1 term
= 6th term
= 14
Thus, The correct statement which does not describe the data set is,
⇒ It has a range of 19.
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Write an exponential function to model the following situation: A population starting at 740 animals
decreases at an annual rate of 12%. Use your function to determine about how many animals there will
be after 5 years.
A. 390
B. 150
CC. 680
D. 340
Answer:
A. 390
Step-by-step explanation:
An exponential function can be written in the form [tex]f(n)=a\times b^n[/tex], where [tex]a[/tex] is your starting population, [tex]b[/tex] is the factor by which the population increases, and [tex]n[/tex] is the number of terms. In this case, [tex]a=740[/tex], [tex]b=0.88[/tex] because the population decreases by 12 percent (1-0.12=0.88), and [tex]n=5[/tex].
Thus, [tex]f(5)=740 \times 0.88^5[/tex], which is roughly equal to 390.
An electronic product contains 48 integrated circuits. The probability that any integrated circuit is defective is 0.01, and the integrated circuits are independent. The product operates only if there are no defective integrated circuits. What is the probability that the product operates? Round your answer to four decimal places (e.g. 98.7654).
Answer:
0.6173 = 61.73% probability that the product operates.
Step-by-step explanation:
For each integrated circuit, there are only two possible outcomes. Either they are defective, or they are not. The integrated circuits are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
An electronic product contains 48 integrated circuits.
This means that [tex]n = 48[/tex]
The probability that any integrated circuit is defective is 0.01.
This means that [tex]p = 0.01[/tex]
The product operates only if there are no defective integrated circuits. What is the probability that the product operates?
This is P(X = 0). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{48,0}.(0.01)^{0}.(0.99)^{48} = 0.6173[/tex]
0.6173 = 61.73% probability that the product operates.
The number of subscribers to an online book club is growing
exponentially. If there are 100,000 initial subscribers and it grows by
2.4%. how many subscribers will there be after four year?
Please help
Answer:
109,600
Step-by-step explanation:
Answer:109,600
Step-by-step explanation:
help me please i need help
Answer:
1/5
Step-by-step explanation:
what is the measure of angle c ?
Answer:
Step-by-step explanation:
C and F are supplementary angles.
C = 180°-79° = 101°
Question 10
100 pts
Find the area of a trapezoid in which b. - 7cm, b = 12 cm, and h = 5 cm.
Scmn
12 cm
47.5 cm
O 12.5 cm
O 95 cm
O 24 cm2
Answer:
area of the trapezoid=1/2(7+12)×5
=47.5cm
Please help me! It’s due soon!
Answer:
0.502.
Step-by-step explanation:
Simplify the following expression: 3(2x+7) *
O 6x + 7
O 6x + 10
O 6x + 21
O 5x + 10
3 x 2x = 6x
3 x 7 = 21
6x+21
Tiffany surveyed some of her classmates to find the number of times they wrote the weekly spelling words. She also found the number of words they missed on the spelling test. The scatterplot shows the results of Tiffany’s survey. Which statement does NOT match Tiffany’s scatterplot?
Options :
A.) A student who missed 2 words on the test wrote each word 4 times.
B.) A student who wrote each word once missed 6 words on the test.
C.) A student who did not write the words missed 8 words on the test.
D.) A student who missed 4 words on the test wrote each word 3 times.
Answer:
A student who did not write the words missed 8 words on the test.
Step-by-step explanation:
From the scatter plot, we could identify all the other points except that of option C.
For option A : (4, 2) is a marked point on the graph
For option B : (1, 6) is also a marked point on the graph
For option C : (0, 8) is not a marked point on the graph and hence, does not match Tiffany's scatter plot.
Help me plz!!
Ben has 8 pints of ice cream. How many 1 cup servings can Ben make from the ice cream?
Note: 1 pint = 2 cups
Answer:
16 servings
Step-by-step explanation:
SQUARE ROOTS PLS ASAP DUE VERY SOON NO LINKS PLEASE............
Answer:
14. 5
15. 12
16. 9
17. 13
18. 14
19. 20
20. 19
21. 15
22. 600
23. -1
24. 4
25. -18
26. 25
hope this helped
Find the equation of the circle touching both axes and has centre on the line 3x - 5y = 4.
Step-by-step explanation:
Look at the picture.
can I be brainliest
have a nice day
an angle measures 66° less than the measure of its complementary angle. what is the measure of each angle
Answer:
12 and 78
Step-by-step explanation:
The sum of complementary angles is 90 degrees
X+(x-66) = 90
2x = 156 x = 78
78-66 = 12
Alex is building a square sandbox with sides 2 feet long and 3 feet deep he wants to fill it 2/3 full how much sand should he order
Answer:
8 cubic feet
Step-by-step explanation:
First find the volume of the sand box
2 x 2 x 3 = 12
then multiply the total volume by 2/3
12 x 2/3 = 8
That leaves you with the total cubic feet of sand he would need.
which is a peoperty of an angle
Answer: Properties of Angles
The sum of all the angles on one side of a straight line is always 180 degrees. For example: The sum of ∠1, ∠2, and ∠3 is 180 degrees
Step-by-step explanation: I’m smart plz give brainlest
Step-by-step explanation:
A half turn or the amount of turn about a single
point on a straight line in 180 degrees, and a quatert turn or right angle is represent by 90 degree . that's opposite angle are aqual: this result call x angle property.
the initial population of a town is 3200 grows with a doubling time of 10 yrs what will the population be in 12yrs
Answer:
I think 6464
Step-by-step explanation:
I wish you luck on this assignment:P:D
Helpppppppppppppppp
Answer:
tjrjrkrkrkrkurjrjrjrjrnr s jkalsmrnrnd
Algoritmo que permita calcular el área de un cuadrado
Answer:
espero que esto ayude
Step-by-step explanation:
length = int (input ("Ingresa una longitud"))
width = int (input ("Ingresa un ancho"))
área = largo * ancho
imprimir ("El área es" + área)
Can somebody help me please!!?
Answer:
5^3 x 5^4 = 5^(3+4)
5^7
4^9/4^3 = 4^9-3
4^6
(7^2)^6
7^12
Let me know if this helps!
Answer:
1) 5^7
2) 4^6
3)7^12
Step-by-step explanation:
1) 5^3(5^4)
=5^3+4
5^7
2) 4^9÷4^3
= 4^9-3
=4^6
3)(7^2)(^6)
=7^2(6)
=7^12
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes
Answer:
Given that, n = -2, p = 5
[tex]→2 {n}^{2} p = 2 {( - 2)}^{2} (5)=(2)(4)(5) = \boxed{ 40}✓[/tex]
2n²p=40 is the right answer.9. In a rhombus whose side measures 34 and the smaller angle is 42°. Find the length of the larger diagonal, to the nearest tenth.
Answer:
63.5
Step-by-step explanation:
The diagonals of a rhombus bisect opposite angles.
The longer diagonal bisects the 42° angle
The larger angle of the rhombus is 180 - 42 = 138
Let x = the length of the longer diagonal
You know two sides and the included angle of a triangle.
Using the law of cosines we get
[tex]x^{2} = 34^{2} + 34^{2} -2(34)(34) cos 138\\ = 1156 + 1156 - 2312 cos 138\\ = 4030.150837...\\x = \sqrt{4030.150837} = 63.48[/tex][tex]x^{2} = 34^{2} + 34^{2} -2(34)(34)cos 138\\ = 1156 + 1156 - 2312 cos 138\\ = 4030.1508...\\ x = \sqrt{4030.1508} \\ = 63.48[/tex]x^2 = 34^2 + 34^2 - 2(34)(34) cos 138
= 1156 + 1156 - 2312 c0s 138
= 4030.1508...
x = sq rt 4030.1508...
= 63.5
You are going grocery shopping and buy x pounds of grapes for $1.99 per pound and y pounds of
bananas for $0.55 per pound. If you spent $8.21 total, create an equation that describes all the
possible ways you could have purchased the grapes and bananas. What is the x-intercept and
what does it mean? Round to the nearest whole number and select all that apply.
Answer:
$9.00
Step-by-step explanation:
because its from a store
6+4/a+b/3 when a=4 and b=3
Answer:
8
Step-by-step explanation:
Plug in a =4 and b=3 into 6+4/a +b/3
6 + 4/4 + 3/3
= 6 + 1 + 1
= 8