Answer:
The 90% confidence interval for the true population of Americans with asparagus anosmia is (0.5926, 0.6120).
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].
Researchers contacted 6909 participants in a large scientific cohort and found that 4161 had asparagus anosmia.
This means that [tex]n = 6909, \pi = \frac{4161}{6909} = 0.6023[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6023 - 1.645\sqrt{\frac{0.6023*0.3977}{6906}} = 0.5926[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6023 + 1.645\sqrt{\frac{0.6023*0.3977}{6906}} = 0.6120[/tex]
The 90% confidence interval for the true population of Americans with asparagus anosmia is (0.5926, 0.6120).
Write seven and three fifths as an improper fraction
Answer:
7.6
Step-by-step explanation:
I used a calculator
Answer:
38/5
Step-by-step explanation:
Convert the mixed number 7 3/5 Into an improper fraction first by multiplying the denominator (5) by the whole number part (7) and add the numerator (3) to get the new numerator. Place the new numerator (38) over the old denominator (5) .
According to survey data, the distribution of arm spans for males is approximately Normal with a mean of 71.4 inches and a standard deviation of 3.1 inches. a. What percentage of men have arm spans between 66 and 76 inches? b. A particular professional basketball player has an arm span of almost 89 inches. Find the z-score for this person's arm span. What percentage of males have an arm span at least as long as this person?
Answer:
a) 89.97% of men have arm spans between 66 and 76 inches.
b) The z-score for this person's arm span is 5.68. 0% of males have an arm span at least as long as this person
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Mean of 71.4 inches and a standard deviation of 3.1 inches.
This means that [tex]\mu = 71.4, \sigma = 3.1[/tex]
a. What percentage of men have arm spans between 66 and 76 inches?
The proportion is the pvalue of Z when X = 76 subtracted by the pvalue of Z when X = 66. The percentage is the proportion multiplied by 100.
X = 76
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{76 - 71.4}{3.1}[/tex]
[tex]Z = 1.48[/tex]
[tex]Z = 1.48[/tex] has a pvalue of 0.9306
X = 66
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{66 - 71.4}{3.1}[/tex]
[tex]Z = -1.74[/tex]
[tex]Z = -1.74[/tex] has a pvalue of 0.0409
0.9306 - 0.0409 = 0.8997
0.8997*100% = 89.97%
89.97% of men have arm spans between 66 and 76 inches.
b. A particular professional basketball player has an arm span of almost 89 inches. Find the z-score for this person's arm span. What percentage of males have an arm span at least as long as this person?
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{89 - 71.4}{3.1}[/tex]
[tex]Z = 5.68[/tex]
The z-score for this person's arm span is 5.68.
Z = 5.68 has a pvalue of 1
1 - 1 = 0
0% of males have an arm span at least as long as this person
The percentage of men who have arm spans between 66 and 76 inches is 89.97% and the percentage of males who have an arm span at least as long as this person is 0%.
Given :
According to survey data, the distribution of arm spans for males is approximately Normal with a mean of 71.4 inches and a standard deviation of 3.1 inches.
a) The formula of z-score is given below:
[tex]\rm Z = \dfrac{X-\mu}{\sigma}[/tex]
where [tex]\mu[/tex] is the mean and [tex]\sigma[/tex] is the standard deviation.
When X = 66 the formula of z-score becomes:
[tex]\rm Z = \dfrac{66-71.4}{3.1}[/tex]
Z = -1.74
The p-value regarding the (Z = -1.74) is 0.0409.
When X = 76 the formula of z-score becomes:
[tex]\rm Z = \dfrac{76-71.4}{3.1}[/tex]
Z = 1.48
The p-value regarding the (Z = 1.48) is 0.9306.
Now, the percentage of men who have arm spans between 66 and 76 inches is:
= (0.9306 - 0.0409) [tex]\times[/tex] 100 %
= 89.97%
b) Now, at X = 89 the formula of z-score becomes:
[tex]\rm Z = \dfrac{89-71.4}{3.1}[/tex]
Z = 5.68
The p-value regarding the (Z = 5.68) is 1.
So, the percentage of males who have an arm span at least as long as 89 inches is:
= (1 - 1) [tex]\times[/tex] 100 %
= 0%
For more information, refer to the link given below:
https://brainly.com/question/13299273
Hi!
I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.
If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.
Anyways, please show all of your work and explain your thinking! Make sure to do both of them! Thanks!
9514 1404 393
Answer:
1. area DEF = 2π cm²
2. arc JK = 2π cm
Step-by-step explanation:
1. The area is given by ...
A = 1/2r²θ . . . . . where r is the radius and θ is the central angle in radians
Your sector has an area of ...
A = (1/2)(3 cm)²(80(π/180)) = (1/2)(9 cm²)(4/9π)
A = 2π cm²
__
2. The length of an arc is ...
s = rθ . . . . . . . where r is the radius and θ is the central angle in radians
s = (5 cm)(72(π/180)) = (5 cm)(2/5π)
s = 2π cm . . . arc length
_____
Additional comment
There are π radians in 180°, so an angle in degrees can be converted to an angle in radians by multiplying by π/180°. (The units of degrees cancel, leaving a pure number. "Radians" have no units.)
I don't understand this, please help
Answer:
∠2 = 150°, it is a supplementary angle to 30°
∠3 = 30°, it is an alternate angle to 30°
∠4 = 150°, it is a supplementary angle to 30°
∠5 = 30°, it is an alternate angle to 30°
∠6 = 150°, it is a supplementary angle to 30°
∠7 = 30°, it is an alternate angle to 30°
∠8 = 150°, it is a supplementary angle to 30°
Express each decimal to fraction 0.8255555…
Answer:
08255555/10000000 this is the answer
Answer:
0.8255555 = [tex]\frac{33}{40}[/tex]
Step-by-step explanation:
Showing the work
Rewrite the decimal number as a fraction with 1 in the denominator
0.825 = [tex]\frac{0.825}{1}[/tex]
Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000
[tex]\frac{0.825}{1}[/tex] × [tex]\frac{1000}{1000}[/tex] = [tex]\frac{825}{1000}[/tex]
Find the Greatest Common Factor (GCF) of 825 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 25,
[tex]\frac{825/25}{1000/25}[/tex] = [tex]\frac{33}{40}[/tex]
Therefore
X= [tex]\frac{33}{40}[/tex]
In conclusion,
0.825555 = [tex]\frac{33}{40}[/tex]
Hope it helps
Please mark me as the brainliest
Thank you
Please guys help me please no links
Answer:
it's F.
Step-by-step explanation:
i used my calculator. just trust me
Joseph's lunch at a restaurant costs $13.00, without tax. He leaves the waiter a tip of 17%
of the cost of the lunch, without tax. What is the total cost of the lunch, including the tip,
without tax?
A
$2.21
$10.79
C
$13.17
D
$15.21
state three (3) uses of graphs
At the start of the day, Celia has a checking account balance of $423.75. She used her debit card to make a purchase of $42.30 for groceries and
$15.00 for gas. She also withdrew money from an ATM for $40.00. How much money is now in Grace's checking account?
WRITE WITH A S, COMMA AND CENTS EXAMPLE 3456.456 IS $3,456.46 AND 45 IS $45.00
Answer this for 10 points
Answer:
D) -2
Step-by-step explanation:
Slope = -3
(1, -9)
y - y1 = m(x - x1)
y + 9 = -3(x - 1)
y + 9 = -3x + 3
y = -3x - 6
y = -3x - 6
0 = -3x - 6
6 = -3x
x = -2
divide 270 in the ratio 3:2:1
3 + 2 + 1 = 6
270 ÷ 6 = 45
45 × 3 = 135
45 × 2 = 90
45 × 1 = 45
3 : 2 : 1
135 : 90 : 45
The question that is asked...
man drove his car a distance of 315 miles in 5 hours. If continuing at this rate is possible, he will travel ____ miles in 9 hours.
Answer:
567
Step-by-step explanation:
Please mark brainliest
Answer:
567
Step-by-step explanation:
OMG PLEASE HELP PLEASE OMG HELP ME HELP PLZ!!!!!!!!!! HELPPPPPPPPPPPPp
17.5 mark brainlist plssssssssssssss
Challenge A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the
coins, 10% are pennies and 38% are dimes. There are 2 more nickels than pennies. How much
money does the bag contain?
Answer:
5 pennies
7 nickels
19 dimes
$2.3
Step-by-step explanation:
first i like to find 1%
50/100=1%
50/100=0.5
then multiply to find %'s
0.5x10=pennies
0.5x10=5
0.5x38=dimes
0.5x38=19
since there are 2 more nickels than pennies there are 7 nickels since there are 5 pennies
then find each value and add
5x.01+7x.05+19x.10
0.05+0.35+1.9=$2.3
Condense the log equation: 4 log x + log y - 5 log z
Answer:
The condensed log equation is: [tex]\log{\frac{x^4y}{z^5}}[/tex]
Step-by-step explanation:
We use these following logarithm properties to solve this question:
[tex]a\log{x} = \log{x^a}[/tex]
[tex]\log{a} + \log{b} = \log{ab}[/tex]
[tex]\log{a} - \log{b} = \log{\frac{a}{b}}[/tex]
In this question:
[tex]4\log{x} = \log{x^4}[/tex]
[tex]5\log{5} = \log{z^5}[/tex]
So
[tex]4\log{x} + \log{y} - 5\log{z}[/tex]
Becomes:
[tex]\log{x^4} + \log{y} - \log{z^5}[/tex]
Now applying the addition and subtraction properties, we have:
[tex]\log{\frac{x^4y}{z^5}}[/tex]
The condensed log equation is: [tex]\log{\frac{x^4y}{z^5}}[/tex]
Which number is equal to 6^3?
A. 18
B. 36
C. 216
D. 666
Answer:
C. 216
Step-by-step explanation:
6³ = 6 x 6 x 6
6 x 6 = 36
36 x 6 = 180 + 36
180 + 36 = 216
hope this helps
please someone helpme
Answer:
[tex]\displaystyle t = \frac{2 \pi}{3}, \ \frac{4 \pi}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
FunctionsFunction Notation[Interval Notation] - [Brackets] imply inclusive, (Parenthesis) imply exclusivePre-Calculus
Unit CircleCalculus
Derivatives
Derivative Notation
The definition of a derivative is the slope of the tangent line
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Derivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Trig Derivative: [tex]\displaystyle \frac{d}{dx}[sinu] = u'cosu[/tex]
Step-by-step explanation:
Step 1: Define
[Given] q(t) = t + 2sint
[Given] Interval [0, 2π]
[Solve] q'(t) = 0
Horizontal tangent line have a slope of 0Step 2: Differentiate
[Derivative] Basic Power Rule/Trig Derivative [Derivative Prop - Add]: [tex]\displaystyle q'(t) = 1 \cdot t^{1 - 1} + 1 \cdot 2cost[/tex][Derivative] Simplify exponent: [tex]\displaystyle q'(t) = 1 \cdot t^{0} + 1 \cdot 2cost[/tex][Derivative] Evaluate exponent: [tex]\displaystyle q'(t) = 1 \cdot 1 + 1 \cdot 2cost[/tex][Derivative] Multiply: [tex]\displaystyle q'(t) = 1 + 2cost[/tex]Step 3: Solve
[Derivative] Substitute in function value: [tex]\displaystyle 0 = 1 + 2cost[/tex][Subtraction Property of Equality] Isolate t term: [tex]\displaystyle -1 = 2cost[/tex]Rewrite: [tex]\displaystyle 2cost = -1[/tex][Division Property of Equality] Isolate trig t term: [tex]\displaystyle cost = \frac{-1}{2}[/tex][Equality Property] Inverse Trig: [tex]\displaystyle t = cos^{-1}(\frac{-1}{2})[/tex]Evaluate [Unit Circle, Interval]: [tex]\displaystyle t = \frac{2 \pi}{3}, \ \frac{4 \pi}{3}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
Do you guys now the answer I need it ASAP please
Answer:I think that it would be either b or c
Step-by-step explanation:
Please answer ASAP this is due tomorrow
Answer:
227.08in^2
You want to find the surface area for this problem. SA=2lw+2lh+2hw
Step-by-step explanation:
L=2.5
W=7.4
H=9.6
SA=2lw+2lh+2hw
SA=2(2.5x7.4)+2(2.5x9.6)+2(9.6x7.4)
SA=37+142.08+48
SA=227.08in^2
need help please make sure your right people have been saying wrong answers
Answer:
C
Step-by-step explanation:
Trust me, take the square root of 24, which divides into 2 x 2 x 2 x 3, and you pull a pair of 2 out, left inside a 6
Answer:
Step-by-step explanation:
How many and what type of solution(s) does the equation have?8p^2=24p−10
Answer:
2 real solutionsStep-by-step explanation:
to understand thisyou need to know about:discriminantPEMDAStips and formulas[tex]D=b^{2}-4ac[/tex]D>0 (2 real solutions)D=0 (1 real solution)D<0 (2 imaginary solutions) or (no real solutions)let's solve:move left hand side expressions to right hand side and change its sign:8p²-24p+10=0divide both sides by 2 :4p²-12p+5=0the quadratic equation standard form is
ax²+bx+c=0therefore we get
a=4b=-12c=5-------------------------------
substitute the value of a,b and c into the discriminant: D=-12²-4.4.5simplify square:144-4.4.5simplify multiplication:144-80simplify substraction:64since we got D>0
therefore
the quadratic equation has 2 real solutions
The proportion of California residents who reported insufficient rest or sleep during each of the preceding 30 days is 8.0%, while this proportion is 8.8% for Oregon residents. These data are based on simple random samples of 11,545 California and 4,691 Oregon residents.
(a) Conduct a hypothesis test to determine if these data provide strong evidence the rate of sleep deprivation is different for the two states.
(b) It is possible the conclusion of the test in part (a) is incorrect. If this is the case, what type of error was made?
Step-by-step explanation:
We start by stating the null hypothesis
H0: p1 = p2
No difference is existent
H1: p2 not equal to p2
There is a difference
We find the z statistic using microsoft excel or using the formula in the attachment
= -1.68
From the normal table, p value = 0.099
The p value is greater than 0.05 so we fail to reject the null hypothesis and conclude there is no difference
B. If answer in part a is incorrect then we have made a type ii error. A type 2 error occurs when we accept a false null hypothesis.
mareli rides her dirt bike at 20 meters/second for 500 seconds, how far did she ride?
Answer:
25 meters
Step-by-step explanation:
500/20 = 25
25 meters
Hope that helps!
Answer:
10,000 meters
Step-by-step explanation:
20*500=10,000
Which expression is equivalent to (2) -3 (4) ô?
Answer:
if any number power of 0 is 1
so, (4)^0 =1
if any number power of -1 is equal to one divide this number.
like;
a^(-1) = 1/a
Therefore,
2^(-3) = 2^(-1) x 2^(-1) x 2^(-1)
= 1/2 x 1/2 x 1/2
Hence solution of 2^(-3). (4) ^0 is,
1/2 x 1/2 x 1/2 x 1
Step-by-step explanation:
SOMEONE PLEASE ANSWER AND EXPLAIN I’LL MARK BRAINLIEST THANK YOU
Answer:
20 visits.
Step-by-step explanation:
Fitness Universe has a 1 time payment of $50, and each visit will cost $5.50
Non-members pay $8 per visit. Let each visit be signified by the variable, v. Set the equation:
5.50v + 50 = 8v
Isolate the variable, v. Note the equal sign, what you do to one side, you do to the other. Subtract 5.50v from both sides:
5.50v (-5.50v) + 50 = 8v (-5.50v)
50 = 8v - 5.50v
50 = 2.50v
Isolate the variable, v. Divide 2.50 from both sides:
(50)/2.50 = (2.50v)/2.50
v = 50/2.50
v = 20
Stuart must visit 20 times to break even, in which it will become cheaper after the 20th visit.
Solve for x. Round your answer to the nearest tenth. Remember, if your solving for the angle x, you must use the inverse function
Answer:
x ≈ 21.36
Step-by-step explanation:
sin31 = 11/x
xsin31 = 11
x = 11/sin31 ≈ 21.36
Can anyone help me on this please
Answer:
y = x - 8
Step-by-step explanation:
y = mx + b
M is your slope, 1. 1x can be rewritten as x.
Your Y intercept is B, therefore -8.
y = x - 8. When you plug in the numbers.
9) Find the unit rate:
40 cookies for $3.25
The tip of a 8 cm minute hand of a clock sweeps out circular arcs.
What is the length of the arc made by the tip of the minute hand between 3:12 and 3:32?
Use 3.14 for pi. Round your answer to the nearest hundredth.
Enter your answer in the box.
Answer:
16.75
Step-by-step explanation:
20/60=x/360
x=120 degree angle
120/360=x/2pi8
1/3=x/16pi
16pi/3=x
x=16.75 arc length