Answer:
a) The 99% confidence interval for the proportion of Americans who made plans in May 2005 based on an incorrect weather report is (0.3798,0.4602). This means that we are 99% sure that the true population proportion is in this interval.
b) No, since May is a month with a wide range of possible weather.
Step-by-step explanation:
a)
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].
42% of 1001 randomly selected adult Americans made plans in May 2005 based on a weather report that turned out to be wrong.
This means that [tex]p = 0.42, n = 1001[/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].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 - 2.575\sqrt{\frac{0.42*0.58}{1001}} = 0.3798[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 + 2.575\sqrt{\frac{0.42*0.58}{1001}} = 0.4602[/tex]
The 99% confidence interval for the proportion of Americans who made plans in May 2005 based on an incorrect weather report is (0.3798,0.4602). This means that we are 99% sure that the true population proportion is in this interval.
b. Do you think it is reasonable to generalize this estimate to other months of the year
No, since May is a month with a vast number of possible outcomes, as it is in the spring, not being in the winter(cold) or summer(hot), which means that it can be both hot or cold, wet or dry,...
PLEASE HELP MUST BE AT LEAST 5 SENTENCES PLEASE HELP DUE IN 5 MINS
Answer:
I think that Thomas Clarksons motive for publishing this drawing of a slave ship was to inform people what it was like. He wanted to show how crowded it was. Thomas might have wanted to show how people were treated.
( i dunno what else to put but you could talk about how he felt about the slave trade)
F(x) = 3 + 4x G(x) = 6x + 7
I) find fg(x)
Answer:
See the attached document
What is the area of the circle below?
27 m
424 m?
848 m?
O 572 3 m
0 729.1 m
Answer:
Can you show us the circle so we can solve the problem?
Step-by-step explanation:
Hello, happy Friday, I am just here with some geometry questions.
Please only answer this if you know the answer. If you have a comment, please add it to the comment box. Only answer the question if you can explain your answer and why you think it is accurate. Thanks, good luck!
Be sure to show your answer and work using a coordinate plane.
Answer:
see the attached and refer to
https://brainly.com/question/21466495
PLS I WILL GIVE BRAINLIEST AND IT IS WORTH DOUBLE POINTS!!!
Sophia is paying for a meal which costs $35. She has a coupon for a 20% discount. After the discount, sales tax is added at a rate of 8%. How much does Sophia need to pay for this meal? Explain how you got your answer
Answer:
he has 0.56 cents
Step-by-step explanation:
Answer:
I think the answer is 30.24
take off that is because 35 - 20% equals$28 plus 8% tax equals 30.24 so that's how I got that
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 417 gram setting. It is believed that the machine is underfilling the bags. A 13 bag sample had a mean of 415 grams with a standard deviation of 30. A level of significance of 0.1 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Answer:
P value = 0.407
Hence, as P-value (0.407) is greater than 0.1
Fail to reject Null hypothesis
Step-by-step explanation:
Given the data in the question;
sample size n = 13
sample mean x" = 415
standard deviation s = 30
level of significance = 0.1
so;
Null hypothesis H₀ : μ = 417
Alternative hypothesis Hₐ : μ < 417
degree of freedom DF = n - 1 = 13 -1 = 12
Rejection Region { level of significance = 0.1, df = 12 }
critical value of t is - 1.356 as { left tailed test }
Test Statistics;
t = (x" - μ) / [tex]\frac{s}{\sqrt{n} }[/tex]
we substitute
t = (415 - 417) / [tex]\frac{30}{\sqrt{13} }[/tex]
t = -2 / [tex]\frac{30}{\sqrt{13} }[/tex]
t = -0.24
so, from table;
P value = 0.407
Hence, as P-value (0.407) is greater than 0.1
Fail to reject Null hypothesis
Give the sine, cosine, and tangent ratios for
both angle A and Angle B as a reduced fraction.
Answer:
sin A= 43.60 or 43 3/5 cos A= 43.60 or 43 3/5 tan A= 43 3/5
sin B= 46. 40 or 46 2/5 cos B= 46. 40 or 46 2/5 tanB= 46.40 or 46 2/5
Step-by-step explanation:
Hope this Helped
How can square roots be written so that the radicand has no square factors?
Answer:
You can do this by dividing the radicand by the square number , and multiplying the radical by the root of that number.
e.g.
[tex]\sqrt{96} \\= \sqrt{16 \times 6}\\= 4\sqrt{6}[/tex]
Regina have 3 bags of marbles. There are 25 marbles in each bag. She wants to put an equal number of marbles into 5 bags. Which expression would show how many marbles can go into each bag?
Answer:
(3×25)÷5=15
hope it helps you
please mark me as brainlist
Answer:
15
Step-by-step explanation:
first, you add all the marbles 25 x 3 = 75 then you divide by 5 which you get 15
Sam has two coupons for a bicycle. coupon A: $20 rebate on a $95 bicycle. coupon B: 25% off a $95 bicycle. choose the coupon that gives the lower price. then fill in the blank
Answer:
B
Step-by-step explanation:
2x + y = 2
x - y = 1
Answer:
mariana bedoya sanchez
Simplify the expression. 4x - 2(x - 6) - X
Answer:
Step-by-step explanation:
4x-2(x-6)-x=4x-2x-x+12
=x+12
Answer:
− X − 1.6 x + 12
Q-U-E-S-T-I-O-N: Whats 1000000000000000000000000 multiplyed by 20000000
Its a weird word :/
Answer:
2e+31
Step-by-step explanation:
Evaluate the expression.
−
2.2
⋅
(
−
2
)
÷
(
−
1
4
)
⋅
5
−2.2⋅(−2)÷(−
4
1
)⋅5
um is this all one equation?
like -2.2×(-2)÷(-14)×5-2.2×(-2)÷(-41)×5?
How many real-number solutions does the equation have? - 7x2 + 6x + 3 = 0
Answer:
How many real-number solutions does the equation have? - 7x2 + 6x + 3 = 0
Step-by-step explanation:
a. B^2-4AC = 36-(-84) = 120.
The discriminant is positive. Therefore, we have 2 real solutions.
b. B^2-4AC = 324-324 = 0. 1 real solution.
Hope this helps!
Show your work on paper. (Include properties) 80 points!!!
Brian ran 5/6 mile in the morning and 2/3 mile in the afternoon. Did Brian run farther in the morning or in the afternoon?
Answer:
In the morning
Step-by-step explanation:
Because in the afternoon, he ran 2/3 mile and that is equal to 4/6 which is less than 5/6.
Please help it’s urgent
Answer:
1750 sq m
Step-by-step explanation:
100 x 85 = 8500 and 90 x 75 = 6750, so take away 6750 from 8500, 8500 - 6750 = 1750 sq m
7. What is the largest of three consecutive integers whose sum is 39.
A 13
B. 14
C. 17
D. 19
HELP!!! in the diagram m ∠ g=96. what is m ∠E
Answer:
M<E
Step-by-step explanation:
It would be m
Answer:
sorry if it’s late, but that would be
B) 84
i just took the test.
Calculate the following expressions :
A = 36.8 + 4 x 10.2 - (4.5 x 2): 3
Te ajut eu la dacă vrei la matematica
Find m
3x-6
8x+4
130
Answer:
<A = 30°
The steps are given in the pic. Hope it will help :)
write a equation in the form y= mx or y= mx + b to represent the relationship between the independent and dependent qualities?
Answer:
y = 10x
Step-by-step explanation:
Independent variable (x) = time (minutes)
Dependent variable (y) = distance (feet)
The line passes through the point of origin (0, 0), which means it represents a proportional relationship. Therefore, the equation would be in the form of y = mx. Where,
m = slope = y/x
Using any point on the line, say (5, 50),
m = 50/5
m = 10
To write the equation, substitute m = 10 into y = mx
Thus:
y = 10x
1/4 and 1/2 common denominators
Answer:
4
Step-by-step explanation:
Answer:
The common denominator of 1/4 and 1/2 is 4.
1/2 = 2/4
Find the distance between the two points (-5, -2) and T(-3, 4).
Answer:
[tex]\displaystyle d = 2\sqrt{10}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-5, -2) → x₁ = -5, y₁ = -2
Point (-3, 4) → x₂ = -3, y₂ = 4
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(-3+5)^2+(4+2)^2}[/tex][√Radical] (Parenthesis) Add: [tex]\displaystyle d = \sqrt{(2)^2+(6)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{4+36}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{40}[/tex][√Radical] Simplify: [tex]\displaystyle d = 2\sqrt{10}[/tex]PLZ HELP!! NEED QUICKLY!!
Given: ∆ABC ≅ ∆DEF. Find DF and m∠B.
Answer:
DF = 3
m<B = 28 degrees
Step-by-step explanation:
Hope that helps!
Evaluate Square root b2 - 4ac when a = 1, b = -6, and c = 9.
Answer:
[tex]x=3[/tex]
What is the distance between point (-2,2) (4,4)
Answer:
6 and 2 thats the distance in between
Step-by-step explanation:
Follow the steps to provide to answer the question
1. Find the greatest common factor of 8 and 12. 2. Use the Distributive Property and the greatest common factor to factor the expression &r-12 3.Write the equivalent expression.
Answer:
Step-by-step explanation:
1. Greatest Common Factor is the largest number that can be multiplied to get the product common to both product.
Factors of 8 Factors of 12
1 8 1 12
2 4 2 6
3 4
The GCF = 4
2. I need the expression rewritten in order to help you.
Evaluate using logarithm table, log (0.65)
