Answers
Answer: 4 13/30 cups
Step-by-step explanation:
Since Lila used 1 2/5 times as much lemonade as Naomi did (3 1/6 cups), we have to multiply 1 2/5 by 3 1/6:
1 2/5 ⋅ 3 1/6 = ?
19/6 ⋅ 7/5 = 133/30
133/30 = 4 13/30
4 13/30 cups
Related Questions
On the Navajo Reservation, a random sample of 210 permanent dwellings in the Fort Defiance region showed that 69 were traditional Navajo hogans. In the Indian Wells region, a random sample of 162 permanent dwellings showed that 22 were traditional hogans. Let p1 be the population proportion of all traditional hogans in the Fort Defiance region, and let p2 be the population proportion of all traditional hogans in the Indian Wells region.
Required:
a. Find a 99% confidence interval for p 1 - P2.
b. Examine the confidence interval and comment on its meaning. Does it include numbers that are all positive?
Answers
Answer:
a) The 99% confidence interval for the difference of proportions is (0.0844, 0.3012).
b) We are 99% sure that the true difference in proportions is between 0.0844 and 0.3012. Since all values are positive, there is significant evidence at the 1 - 0.99 = 0.01 significance level to conclude that the proportion is the Fort Defiance region is higher than in the Indian Wells region.
Step-by-step explanation:
Before finding the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Fort Defiance:
69 out of 210, so:
[tex]p_1 = \frac{69}{210} = 0.3286[/tex]
[tex]s_1 = \sqrt{\frac{0.3286*0.6714}{210}} = 0.0324[/tex]
Indian Wells:
22 out of 162, so:
[tex]p_2 = \frac{22}{162} = 0.1358[/tex]
[tex]s_2 = \sqrt{\frac{0.1358*0.8642}{162}} = 0.0269[/tex]
Distribution of the difference:
[tex]p = p_1 - p_2 = 0.3286 - 0.1358 = 0.1928[/tex]
[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.0324^2 + 0.0269^2} = 0.0421[/tex]
a. Find a 99% confidence interval for p1 -p2.
The confidence interval is:
[tex]p \pm zs[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower bound of the interval is:
[tex]p - zs = 0.1928 - 2.575*0.0421 = 0.0844[/tex]
The upper bound of the interval is:
[tex]p + zs = 0.1928 + 2.575*0.0421 = 0.3012[/tex]
The 99% confidence interval for the difference of proportions is (0.0844, 0.3012).
Question b:
We are 99% sure that the true difference in proportions is between 0.0844 and 0.3012. Since all values are positive, there is significant evidence at the 1 - 0.99 = 0.01 significance level to conclude that the proportion is the Fort Defiance region is higher than in the Indian Wells region.
This table shows how many male and female students attended two different
movies.
What is the probability that a randomly chosen person from this group is male
and attended an action movie?
Round your answer to two decimal places.
Action
Drama
Total
Mala
105
124
229
Female
99
151
250
Total
204
275
479
A. 0.11
B. 0.43
Ο Ο Ο Ο
C. 0.22
D. 0.52
Answers
Answer:
Male & action movie among a group of total 479
Step-by-step explanation:
We only choose male from action movie category so:
p = 105/ 479 = 0.22
The probability that a randomly chosen person from this group is male and attended an action movie will be 0.22. Then the correct option is C.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
This table shows how many male and female students attended two different movies.
Action Drama Total
Mala 105 124 229
Female 99 151 250
Total 204 275 479
Then the probability that a randomly chosen person from this group is male and attended an action movie will be
Favorable event = 105
Total event = 479
Then the probability will be
P = 105 / 479
P = 0.219
P ≈ 0.22
Then the correct option is C.
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ2
in order for the parallelogram to be rhombus x=?
Answers
Answer:
14
Step-by-step explanation:
The angles created by the diagonals of a rhombus add up to 360 meaning each one is 90 degrees
5x+20 = 90
subtract 20 from both sides
5x = 70
divide by 5 on both sides
x=14
Dogsled drivers, known as mushers, use several different breeds of dogs to pull their sleds. One proponent of Siberian Huskies believes that sleds pulled by Siberian Huskies are faster than sleds pulled by other breeds. He times 47 teams of Siberian Huskies on a particular short course, and they have a mean time of 5.2 minutes. The mean time on the same course for 39 teams of other breeds of sled dogs is 5.5 minutes. Assume that the times on this course have a population standard deviation of 1.4 minutes for teams of Siberian Huskies and 1.1 minutes for teams of other breeds of sled dogs. Let Population 1 be sleds pulled by Siberian Huskies and let Population 2 be sleds pulled by other breeds. Step 1 of 2 : Construct a 95% confidence interval for the true difference between the mean times on this course for teams of Siberian Huskies and teams of other breeds of sled dogs
Answers
Answer:
The 95% confidence interval for the true difference between the mean times on this course for teams of Siberian Huskies and teams of other breeds of sled dogs is (-0.8276, 0.2276).
Step-by-step explanation:
Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Siberian Huskies:
Sample of 47, mean of 5.2 minutes, standard deviation of 1.4. So
[tex]\mu_1 = 5.2[/tex]
[tex]s_1 = \frac{1.4}{\sqrt{47}} = 0.2042[/tex]
Others:
Sample of 39, mean of 5.5 minutes, standard deviation of 1.1. So
[tex]\mu_2 = 5.5[/tex]
[tex]s_2 = \frac{1.1}{\sqrt{39}} = 0.1761[/tex]
Distribution of the difference:
[tex]\mu = \mu_1 - \mu_2 = 5.2 - 5.5 = -0.3[/tex]
[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.2042^2+0.1761^2} = 0.2692[/tex]
Confidence interval:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = zs[/tex]
In which s is the standard error. So
[tex]M = 1.96(0.2692) = 0.5276[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is -0.3 - 0.5276 = -0.8276.
The upper end of the interval is the sample mean added to M. So it is -0.3 + 0.5276 = 0.2276
The 95% confidence interval for the true difference between the mean times on this course for teams of Siberian Huskies and teams of other breeds of sled dogs is (-0.8276, 0.2276).
a new automobile cost 11300 which is 100 more than 25 times a certain number what is the number
Answers
Answer:
The number is 448.
Step-by-step explanation:
Hope it helps
For the specified margin of​ error, confidence​ level, and educated guess for the observed​ value, obtain a sample size that will ensure a margin of error of at most the one specified​(provided, of​ course, that that observed value of the sample proportion is further from 0.5 than the educated​ guess).
Margin of errorequals= 0.04​
Confidence levelequals=95%
Educated guessequals=0.32
n=?
Answers
Answer:
The appropriate answer is "523".
Step-by-step explanation:
Given:
Margin of error,
E = 0.04
Confidence level,
= 95%
Educated guess,
[tex]P_g[/tex] = 0.32
According to the question,
[tex]\alpha = \frac{100-95}{100}[/tex]
[tex]=0.05[/tex]
[tex]\frac{\alpha}{2} = \frac{0.05}{2}[/tex]
[tex]=0.025[/tex]
[tex]Z_{0.025} = 1.96[/tex]
The sample size will be:
⇒ [tex]n=P_g (1-P_g) (\frac{Z_{\frac{\alpha}{2} }}{E} )^2[/tex]
By substituting the values, we get
[tex]=0.32(1-0.32)(\frac{1.96}{0.04} )^2[/tex]
[tex]=0.32\times 0.68\times (49)^2[/tex]
[tex]=0.32\times 0.68\times 2401[/tex]
[tex]=522.4576[/tex]
or,
[tex]=523[/tex]
find the missing angles
Answers
Answer:
all answer are in given solution
Answer please I’m stuck
Answers
Answer:
196
Step-by-step explanation:
We will use the formula:
Surface Area of A / Surface area of B = (Height of A /Height of B)^2
49/S2 = (4/8)^2
49/S2 = 1/4
S2 = 196
Answred by Gauthmath
Make x the subject
y = 4(3x-5)/9
Answers
Answer:
3/4y +5/3 = x
Step-by-step explanation:
y = 4(3x-5)/9
Multiply each side by 9
9y = 4(3x-5)/9*9
9y = 4(3x-5)
Divide each side by 4
9/4 y = 4/4 (3x-5)
9/4y = 3x-5
Add 5 to each side
9/4y +5 = 3x-5+5
9/4y +5 = 3x
Divide by 3
9/4 y *1/3 +5/3 = 3x/3
3/4y +5/3 = x
PLEASE HELP THIS IS DUE ASAP!!!!!!!!!!!!!!
Answers
the answer is 1/12
the first rolling a 4 has a 1/6 chance of happening and half of the numbers on the die are odd, so 1/6*1/2=1/12
A canoeist paddled down a river a distance of 2 miles in 45 minutes. Paddling up-stream on his return, it took him 90 minutes. Find the rate of the canoe in still water.
Answers
Let sin A = -3/5
with 270°
sinA/2
Answers
Answer:
-0.316227766
Step-by-step explanation:
0.316227766
find the missing side of the triangle
Answers
Answer:
x = 34
Step-by-step explanation:
Pytago:
x[tex]30^{2} + 16^{2} = x^2\\x = \sqrt{30^2 + 16^2} \\x = 34[/tex]
Which of the following is the graph of f(x)−1?
Answers
Answer:
was assigned with this problem (the reference text is attached):
Which of the following, if included in a student's paper, would NOT be an example of plagiarism?
1. In the game of baseball, which is rather boring, the batter stands on home base (Hughes 1).
2. Baseball is rather surprisingly known as "America's Favorite Pastime."
3. Baseball is "a rather boring sport played between two teams of nine players" (Hughes 1).
4. All of these are plagiarism.
The answer tells that only the third choice is NOT a plagiarism. My question is, why is the first choice a plagiarismwas assigned with this problem (the reference text is attached):
Which of the following, if included in a student's paper, would NOT be an example of plagiarism?
1. In the game of baseball, which is rather boring, the batter stands on home base (Hughes 1).
2. Baseball is rather surprisingly known as "America's Favorite Pastime."
3. Baseball is "a rather boring sport played between two teams of nine players" (Hughes 1).
4. All of these are plagiarism.
The answer tells that only the third choice is NOT a plagiarism. My question is, why is the first choice a plagiarism
ASAP! Plssssss
Tysm.
Answers
Answer:
4×10⁶ is the answer.........
Answer:
[tex]4 \times {10}^{6} [/tex]
Step-by-step explanation:
[tex] \frac{8 \times {10}^{24} }{2 \times {10}^{18} } [/tex]
[tex] \frac{4 \times {10}^{24} }{ {10}^{18} } [/tex]
[tex] = 4 \times {10}^{6} [/tex]
z/3 - 4(z-1) = 5(z-2)+1
What is the value of z?
Answers
Answer: [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
First, we need to open the brackets on either side of the equation.
[tex]\frac{z}3}[/tex] - 4z+4 = 5z-10+1
After opening the brackets, we need to separate the variables from the constants.
[tex]\frac{z}{3}[/tex] -4z-5z = -10+1-4
Then we need to convert the variable fraction into a normal variable by multiplying the variable fraction and also all other terms in the equation.
3([tex]\frac{z}{3}[/tex]) 3(-4z) 3(-5z) = 3(-10) + 3(1) + 3(-4)
z -12z -15z = -30+3-12
Now, we can simplify the equation !
-26z = -39
z = -39÷-26
= [tex]\frac{3}{2}[/tex]
Find the value of [(33.7)² - (15.3)²]^½ leaving your answer correct to 4 significant figures
Answers
Answer:
30.03
Step-by-step explanation:
[(33.7)² - (15.3)²]^½
= [1135.69 - 234.09]^½
= [901.6]^½
= 30.02665483
= 30.03 (4sf)
Please helps fill in the charts
A and b
With order of pairs
Answers
Answer:
...
Step-by-step explanation:
seeee the above picture
help. WORTH 15 POINTS!!!
Answers
Answer:
x=27
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
90 + x+15 + 2x-6 = 180
Combine like terms
3x+99=180
Subtract 99 from each side
3x+99-99=180-99
3x =81
Divide each side by 3
3x/3 = 81/3
x=27
What is the mean of 86, 80, and 95
Answers
87 is the mean.
To find the mean, you must
- add all of the numbers
- divide by the amount of numbers given
In this case, you would want to do (86 + 80 + 95)/3. This would give you an answer of 87.
Mean is the same thing as average so you just all the given numbers and divide by the number of terms given (in this case 3 were given)
Find the interquartile range for a data set having the five-number summary: 4.6, 14.3, 19.7, 26.1, 31.2
Answers
======================================================
Explanation:
The five number summary is the set of these items, in this exact order
Min = smallest valueQ1 = first quartileMedian = middle most numberQ3 = third quartileMax = largest valueSo with the five number summary 4.6, 14.3, 19.7, 26.1, 31.2, we see that
Q1 = 14.3 and Q3 = 26.1
Subtracting these two values gets us the IQR (interquartile range)
IQR = Q3 - Q1
IQR = 26.1 - 14.3
IQR = 11.8
I do not understand this and could use help it needs the work shown
Answers
Answer:
a = 9
Step-by-step explanation:
The given trinomial is :
[tex]x^2-6x+\_\_\__[/tex]
let the blank is a.
So, we need to find the value of a so that it results in a perfect square trinomial.
We know that, [tex](m-n)^2=m^2-2mn+n^2[/tex]
So,
[tex]x^2-6x+a=x^2-2(1)(3)+3^2\\=(x-3)^2[/tex]
So, the value of a is 9. If a is 9, then only it would be a perfect square trinomial.
A vending machine dispenses coffee into a twenty-ounce cup. the amount of coffee dispensed into the cup is normally distriubuted with a standard deviation of 0.03 ounce. You can allow the cup to overfill 2% of the time. What amount should you set as the mean amount of coffee to be dispensed?
Answers
Answer:
x=20.938
Step-by-step explanation:
-2.053748911 = (x - 21)/.03
x=20.938
700,000 rounded to the nearest hundred thousand
Answers
Answer:
700,000
Step-by-step explanation:
700,000 is already a 100,000, therefore there is no rounding to do.
Answer:
700,000 is the answer
Step-by-step explanation:
Wesley is making a patio from stones of two sizes, 5 inch wide and 10 inch wide. He wants to begin and end his pattern with a 10 inch stone so there will be one more of the 10 inch stones than of 5inch stones. His patio will be 130 inches wide.
How many 10 inch stones will Wesley need for one row?
Answers
9514 1404 393
Answer:
9
Step-by-step explanation:
If x is the number of 10-inch stones, then (x-1) is the number of 5-inch stones, and the total width is ...
10x +5(x-1) = 130
15x -5 = 130 . . . . . . . eliminate parentheses
15x = 135 . . . . . . add 5
x = 9 . . . . . . . divide by 15
Wesley will need 9 10-inch stones for one row.
Zoe earns 22.50 per hour plus 3% commission on sales. last week she worked 34 hours and made sales totalling 15280. Calculate her pay for the week.
Answers
Answer: $1,223.40.
Step-by-step explanation:
Since she earns $22.5 per hour, for 34 hours, she would earn:
$22.5 × 34 = $765
She earn 3% of her sales, therefore find 3% of $15,280:
$15280(3%) = $15280(0.03) = $458.4
Add them together:
$765 + $458.4 = $1223.4
9514 1404 393
Answer:
$1,223.40
Step-by-step explanation:
Zoe's total pay is the sum of the products of hours and hourly rate, and sales and commission rate.
Pay = (34 h)($22.50/h) +($15,280)(.03) = $765.00 +458.40
Pay = $1,223.40
Zoe's pay for the week is $1,223.40.
The weight (in pounds) and height (in inches) for a child were measured every few months over a two-year period. The measurements are given in the table.
Using technology, what is the equation for the least-squares regression line?
y= –34.13 1.98x
y = 1.98 – 34.13x
y = 17.37 0.50x
y = 0.50 17.37x
I think it's (C) y = 17.37 0.50x --> 100%
Answers
Answer:
The answer is (C)
17.37 + .50x
ED2021
Help please, thanks as always in advance.
Which correlation coefficient indicates the data set with the strongest linear correlation?
0.41
−0.25
0.66
−0.83
Answers
Step-by-step explanation:
Which correlation coefficient indicates the data set with the strongest linear correlation?
0.66
The correlation coefficient indicates the data set with the strongest linear correlation is -0.83
What is correlation coefficient?"It measures the strength of the relationship between two relative variables."
What is linear correlation?"When the rate of change is constant between two variables then it is said to be linear correlation."
For given example,
We have been given correlation coefficients.
We need to find the correlation coefficient that indicates the data set with the strongest linear correlation.
We know, the correlation coefficient lies between -1 to 1.
So, the strongest linear correlation is indicated by a correlation coefficient of -1 or 1.
From given correlation coefficients,
-0.83 is close to -1.
Therefore, the correlation coefficient indicates the data set with the strongest linear correlation is -0.83
Learn more about linear correlation coefficient here:
https://brainly.com/question/12400903
#SPJ2
Please help me with this question
Answers
Answer:
The sum of 1/6 and 1/7 would be 13/42, or, if you wanted the answer in decimal form rounded to the nearest hundredth, it would be about 0.31.
To find the sum of 1/6 and 1/7, we cannot simply add the numerators together and maintain the same denominator. This is because 1/6 and 1/7 have different denominators, so we don't know which denominator to maintain!
To fix this we need to find a number that is divisible by both 6 and 7. One easy way to do this is to multiply the two numbers together:
6 x 7 = 42
If we were to change the denominator to 42 for each fraction, we could add the numerators together and maintain a denominator of 42. However, this means we must change the numerator of each fraction along with its denominator.
Let's start with 1/6. We can multiply 6 by 7 to obtain 42, but this means we also have to multiply 1 by 7 to keep the fraction proportionate. If the fraction does not maintain the same proportion, it will be a completely different fraction!
We know that 1 x 7 = 7, so it is safe to say that 1/6 is equal to 7/42.
We can apply the same logic to 1/7. Since 7 x 6 is 42 we need to multiply 1 by 6 along with 7. Note: you cannot multiply each number by 7 this time, because 7 x 7 would be 49, not 42. In multiplying the numerator and denominator by 6 we know that 1/7 = 6/42.
Now we have an equation of:
6/42 + 7/42
Now we can add it as we would normally by adding the numerators and keeping the denominator to get:
6/42 + 7/42 = 13/42
If you needed the answer in decimal form it would be about 0.3095238095, or 0.31 rounded to the nearest hundredth.
I hope this helped.
find the value of the trigonometric ratio
Answers
Answer:
ur box cannot be opend repain the window
Step-by-step explanation:
please mark this answer as brainlist
