Answer: 1.3125
Step-by-step explanation: Rise over run so 21/16, which if you open up your calculator you can divide 21 by 16 and your answer is 1.3125. Have a great day and message me with any more questions!
A poll asked 1057 American adults if they believe there was a conspiracy in the assassination of President Kennedy, and found that 614 believe there was a conspiracy. Estimate the proportion of Americans who believe in this conspiracy using a 95% confidence interval. Round to three decimal places.
Answer:
The 95% confidence interval of the proportion of Americans who believe in the conspiracy is [tex] 0.551< p < 0.610[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n =1057
The number that believe there was a conspiracy is k = 614
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{614}{1057 }[/tex]
=> [tex]\^ p = 0.5809[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]
=> [tex]E = 1.96 * \sqrt{\frac{0.5809 (1- 0.5809)}{1057} } [/tex]
=> [tex]E = 0.02975 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\^ p -E < p < \^ p +E[/tex]
=> [tex] 0.5809 - 0.02975< p < 0.5809 + 0.02975[/tex]
=> [tex] 0.551< p < 0.610[/tex]
shape of the pond is shaped somewhat like a triangle. He claims that he can approximate the perimeter of the pond without doing any measurement of the actual pond or on the diagram. What assumption would Paul need to make in order to justify his claim? B. Based on the assumption in part A, determine the approximate length of side c of the pond. Explain your reasoning in at least two sentences. C. Determine the approximate perimeter of the pond. Explain your reasoning
Answer:
A) the curves are ellipses
B) 161 yards
C) 366 yards
Step-by-step explanation:
A) The general shape of the side marked c has the appearance of two quarter-ellipses. The major axis is approximately 125 yards, and the minor axis is approximately 80 yards. Paul could assume that the curves are quarter-ellipses.
B) For an ellipse with this eccentricity, its perimeter is within 2% of that of a circle with a diameter equal to the average of these dimensions.*
So, the approximate length of side c is ...
c ≈ π(80 +125)/4 ≈ 161 . . . . yards; length of side c
C) The perimeter of the pond is the sum of the side lengths, so will be ...
80 yds + 125 yds + 161 yds = 366 yds . . . pond perimeter
Indian mathematician Ramanujan developed an approximate formula for the circumference of an ellipse, which would otherwise need to be computed using an elliptic integral. it is ...
C = π(a+b)(1 + 3λ²/(10 +√(4 -3λ²)) where λ = (a -b)/(a +b) and a, b are the semi-axis lengths.
For this ellipse, λ = 9/41, so the last factor is about 1.01208313. Using this factor, the circumference is expected to be good to about 7 significant digits. Continuing the calculation, we find C ≈ 325.904 . . . . circumference of an ellipse 125 yd long by 80 yd wide
This is twice the length we imagine for c, so c ≈ 163 yards. As we said, the approximation used above is within 2% of this value.
The attachment shows the shape if the curve is actually an ellipse.
cd an anyone help me pls
Answer:
ITS FALSE
CAN I PLEASE GET BRAINLIEST IM TRYING TO RANK UP THANKSS <3
Step-by-step explanation:
Which shows the expressions in the order they would appear on a number line from least to greatest? (5 points)
A. 2 to the power of 3, square root of 5, square root of 20, square root of 11, 11 over 9
B. 2 to the power of 3, square root of 11, 11 over 9, square root of 20, square root of 11
C. 11 over 9, square root of 5, square root of 11, square root of 20, 2 to the power of 3
D. 11 over 9, 2 to the power of 3, square root of 5, square root of 20, square root of 11
Answer:
C) 11/9, [tex]\sqrt{5}[/tex] , [tex]\sqrt{11}[/tex], [tex]\sqrt{20}[/tex], 2^3
Step-by-step explanation:
2^3 = 8
[tex]\sqrt{5}[/tex] = 2.236....
[tex]\sqrt{20}[/tex] = 4.472...
[tex]\sqrt{11}[/tex] = 3.317...
11/9 = 1.222...
So from least to greatest:
11/9, [tex]\sqrt{5}[/tex] , [tex]\sqrt{11}[/tex], [tex]\sqrt{20}[/tex], 2^3
The answer would be C.
"Patricia drank one-fourth of the lemonade in her glass. Write an expression in terms of p that represents the number of ounces Patricia has left in her glass. Include two terms in your expression."
Answer:
The amount of lemonade Patricia drank is 1/4 p ounces.
Step-by-step explanation:
Answer:
The amount of lemonade Patricia drank is 1/4 p ounces.
I just did this in edmentum
Step-by-step explanation:
During a sale, all T-shirts are $5 off. Timani used a coupon to get an additional $10 off his purchase. If the original price of a T-shirt was $30, how much did Timani pay?
Answer:$15
Step-by-step explanation:
$30-$5=$25
$25-$10=$15
Ginger bought 3 boxes of markers. She gave 6 markers to her sister. Now Ginger has 18 markers. How many markers were in each box? Explain how you found the answer. 30. Jordan had 30 minutes left to play 3 innings of his baseball game. If 2 innings lasted 10 minutes each
Answer: 8 markers are in each box. But if there asking how much her sister took away and how many markers are in each box left it would be 6
Step-by-step explanation:
24 divided by 3 is 8
Ashley’s car weighs more than Joseph’s car Joseph wrote the following equation for the weight of his car 24x10
Find the 13th term in the following arithmetic sequence: 2,5,8,11
1st term?+ Common difference (desired term-1)
Answer:
38 is the 13th term
Step-by-step explanation:
Just add 3 until you are at the 13th term
2/3 divided by 4 in simplest form
Answer:
it's 1//6
Step-by-step explanation:
I used the calculator, and its 1/6
Note: Make Me BRAINLIEST PLZZ..
Answer:
0.16 or 1/6
Explanation:
2/3 divided by 4 is 0.16666666666
0.16666... = 0.1 + 0.06666...
x = 0.06666... / · 10
10 x = 0.66666...
10 x = 0.6 + 0.6666...
10 x = 0.6 + x
9 x = 0.6
x = 0.6/9 = 6/90 = 1/15
0.166666... = 0.1 + 1/15 = 1/10 + 1/15 = (2 + 3) / 30 = 5/30 = 1/6
PLEASE HELP! Determine the slope and the y-intercept of the table.
Answer:
slope : 1
y-intercept : 0
Step-by-step explanation:
hope this helps/is right lol
A company is packing cartons of candles. Each carton can hold 74 candles. So far, 48 cartons have been packed, but only 28 cartons have been loaded on a truck. How many more candles are left to load on the truck? The amount of candles left to load on the truck is .
The Pythagorean theorem describes the relationship between the lengths of legs a and b and the hypotenuse c of any right triangle. a2 + b2 = c2 Complete the equation below by writing an expression equivalent to the length of a, the leg of a right triangle.
Answer:
Step-by-step explanation:
a^2=b^2-c^2
Please help!!! I am super lost on this question and what is going on
1st and 5th
Step-by-step explanation:first think
seccond use your head
third dont always go strait to brainly
Determine if the two triangles are congruent. If they are, state how you know.
A.
AAS
B.
ASA
C.
SSS
D.
SAS
Answer:
not congruent
Step-by-step explanation
only one side has a 90 degree angle
Look at the expanded number below and then choose the number that it represents.
3 x 100 + 5 x 10 + 6 x 1 + 8 x .1 + 2 x .01
A. 3, 568. 20
B. 356. 82
C. 35. 682
D. 3. 5682
Help plz i have only tonight 11;59
Answer:
Base = 16, height 64
Step-by-step explanation:
It's a triangle so u have to multiply it with 1/2 or divide by 2, x will equal both height and base:
(1/2)4x^2 = 512
Multiply 2 to both sides
4x^2 = 1024
divide both sides by 4
x^2 = 256
[tex]\sqrt{x^2}[/tex] = [tex]\sqrt{256}[/tex]
x = 16, base is 16 and height is 16(4) = 64
Alright this took me some time but I got it now, u might think why 16 and 64? 16 times 64 is not 512, but the equation for a triangles area is [tex]\frac{b h}{2}[/tex] or b·h·1/2 , so if u plug the numbers into the equation it will equal 512:
16 · 64 · 1/2= 1024 · 1/2 = 512
Help me Please.............
Answer:
I believe the answer is 20
Step-by-step explanation:
Help please using the diagram at the
Answer:
1. AB AC BC
2. angle P angle angle R angle Q
3. angle M
Step-by-step explanation:
Topic: triangle properties
If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!
Suppose a box contains 3 defective light bulbs and 12 good bulbs. Two bulbs are chosen separately from the box without replacement. What is the probability that one of two bulbs drawn is defective and one is not?
Answer:
[tex]Probability = \frac{12}{35}[/tex]
Step-by-step explanation:
Given
Represent Defective Bulbs with D and non good bulbs with G
[tex]D = 3[/tex]
[tex]G = 12[/tex]
The probability that one is defective and the other is not can be represented with: (D and G) or (G and D)
Which means that the defective is selected first, then the good one or the good one is selected first, then the defective one.
This is then calculated as:
[tex]Probability = \frac{n(D}{Total} * \frac{n(G)}{Total - 1} + \frac{n(G}{Total} * \frac{n(D)}{Total - 1}[/tex]
We used Total - 1 on second selections because it is a probability without replacement
[tex]Probability = \frac{3}{15} * \frac{12}{15- 1} + \frac{12}{15} * \frac{3}{15- 1}[/tex]
[tex]Probability = \frac{3}{15} * \frac{12}{14} + \frac{12}{15} * \frac{3}{14}[/tex]
[tex]Probability = \frac{1}{5} * \frac{6}{7} + \frac{2}{5} * \frac{3}{7}[/tex]
[tex]Probability = \frac{6}{35} + \frac{6}{35}[/tex]
[tex]Probability = \frac{12}{35}[/tex]
Pls help what is number 6
Answer:
1/8 or 0.125 if i am correct
Step-by-step explanation:
Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were allergic to penicillin, Nathan has a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate. If the test predicts that Nathan is not allergic to penicillin, what is the probability after the test that Nathan is not allergic to the drug?
A.
0.1135
B.
0.2450
C.
0.9423
D.
0.9932
Answer:
im late but if anyone sees this question its 0.9423
Step-by-step explanation:
The test predicting that he does not have the drug and is correct is 0.98 x 0.25.
Predicting that he does not have the drug but is wrong is 0.02 x 0.75
[tex]\frac{ (0.98 * 0.25)}{ (0.98 * 0.25) + (0.02 * 0.75} \\\\=\frac{ (0.245)}{ (0.245) + (0.015)} \\\\= \frac{ 0.245}{ 0.26} \\\\=0.9423[/tex]
Got a 5/5 on plato. The other similar answer is 0.245 for the shorter question
of factor
5 Completează tabelul
cu numerele potrivite:
factor 5 8
factor 7.
9
produs 56 45
9
72
Answer:..
Step-by-step explanation:
What is 1/8 expressed as a percent? help ASAP PLS
Answer:
12.5%
Step-by-step explanation:
Answer:
12.5%
Step-by-step explanation:
1
Enter the correct answer in the box.
Simplify the expression (62,4.
Answer:
248
Step-by-step explanation:
(62)4
= 62 x 4
= 248
What is the length of Vz?
2 units
6 units
8 units
10 units
PLS ANSWER CORRECTLY Which expression is a perfect cube?
A. -1,452 m^18 n^15 p^22
B. -1331 m^18 n^15 p^21
C. 1331 m^18 n^15 p^22
D. 1452 m^18 n^15 p^21
Answer:
B. -1331 m^18 n^15 p^21Step-by-step explanation:
A. -1,452 m^18 n^15 p^22
No. -1452 is not a perfect cube.B. -1331 m^18 n^15 p^21
(-11)^3(m^6)^3(n^5)^3(p^7)^3YesC. 1331 m^18 n^15 p^22
No. p^22 is not a perfect cubeD. 1452 m^18 n^15 p^21
No. 1452 is not a perfect cube.Answer: B. -1331 m^18 n^15 p^21
Step-by-step explanation:
you can buy 3 apples at the quick stop for $1.29. you can buy 5 apples at shop and save for $2.45. which place is better buy?
Answer:
Quick Stop -
3 apples = $1.29
1 apple = $0.43
Shop -
5 apples = 2.45
1 apple = 0.49
So the quick stop is better!
For the following right triangle, find the side length x. Round your answer to the nearest hundredth
10
18
What is 6[cos(70°) + i sin(70°)] ÷ 2[cos(5°) + i sin(5°)]?
Answer:
3[cos(65°) + i sin(65°)]
Step-by-step explanation:
