Answer:
d. The sample mean used to build this interval was 170 pounds.
Step-by-step explanation:
Confidence interval concepts:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
The margin of error is the difference between the two bounds, divided by 2.
In this question:
Bounds 160 and 180, so the sample mean used was (160+180)/2 = 170, and thus the correct answer is given by option d.
7 is added to the product of 5 and 6
Answer:
37
Step-by-step explanation:
7 + (5×6)
= 7 + 30
= 37
.................
Answer:
37
Step-by-step explanation:
First Step: Multiply
5x6=30
Second Step: Add
30+7=37
Therefore your answer is 37
Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?
HELP PLEASE!!!!!!!!!!!!!!!
3 maybe is a correct ans thxxxxxx
Answer:
i think possible the last one...
I'm not sure but i hope you get it correct!
1 1/3 bushels of seed are needed to plant 1 acre of wheat. How many bushels of seed would be required to plant 30 acres?
An acre requires 1.33 bushels of seed.
Thirty acres thusly require 30 times 1.33 bushels of seed.
So we have, [tex]1.33\cdot30=\boxed{39.9}[/tex] bushels of seed.
Hope this helps.
help pls, stuck on this
Answer:
Step-by-step explanation:
Assume 10% of Berkeley students are left-handed. If you are in a class of 50 people, what is the probability that exactly 4 of them are left-handed? Round your answer to the nearest hundredth, and omit the leading zero. Enter your answer here.
Answer:
The answer is "0.18"
Step-by-step explanation:
[tex]10\% \ of \ 50= 5 \text{are left handed}\\\\45\ \text{are right handed}\\\\[/tex]
If the probability exactly 4 were heft handed
[tex]=^{50}_{C_4}\times (\frac{5}{50})^4 \times (\frac{45}{50})^{4b}\\\\=^{50}_{C_4} \times (0.1)^4 \times (0.9)^{4b}\\\\=230300 \times (0.1)^4 \times (0.9)^{4b}\\\\=0.181 \approx 0.18[/tex]
6/10 > _ > 1/3 which fraction goes in the blank?
Step-by-step explanation:
6/10 > _ > 1/3
3/5 > _ > 1/3
Taking the average of both the fraction½(⅗+⅓)
½(9+5/15)
½(14/5)
=7/15
6/10 > 7/15 > 1/3Answer:
7/15
Step-by-step explanation: 10 and 3 LCM is 30
6/10 x 3 =18/30 and 1/3x 10= 10/30
10/30 and 18/30 average is 14/30 which simplified is 7/15
The answer is 7/15
Hope it helps
You own a small storefront retail business and are interested in determining the average amount of money a typical customer spends per visit to your store. You take a random sample over the course of a month for 12 customers and find that the average dollar amount spent per transaction per customer is $116.194 with a standard deviation of $11.3781. Create a 90% confidence interval for the true average spent for all customers per transaction.1) ( 114.398 , 117.99 )2) ( 112.909 , 119.479 )3) ( -110.295 , 122.093 )4) ( 110.341 , 122.047 )5) ( 110.295 , 122.093 )
Answer:
(110.295, 122.093).
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 12 - 1 = 11
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 11 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.7959
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.7959\frac{11.3781}{\sqrt{12}} = 5.899[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 116.194 - 5.899 = 110.295
The upper end of the interval is the sample mean added to M. So it is 116.194 + 5.899 = 122.093
So
(110.295, 122.093).
Write the ratio 4 3/5 to 1 1/5 as a fraction in lowest terms
Answer:
23/6
Step-by-step explanation:
Given fractions
4 3/5 to 1 1/5
Write 4 3/5 as improper fraction= 23/5
Write 1 1/5 as improper fraction= 6/5
Then find the ratio
23/5 : 6/5
Ratio is finding division of two terms
(23/5) / (6/5)
= 23/5 × 5/6
5 at the denominator cancel out 5 at numerator then we have
= 23/6
Hence, fraction in lowest terms here is
23/6
Find in the triangle. Round to the nearest degree.
Answer:
D. 34
Step-by-step explanation:
Because this is a right triangle we can use sin, cos, tan.
Use cosine because the values of the adjacent side and hypotenuse are already given.
cos(θ) = 72/87
Because we are solving for the angle measure (and not the measure of the side) we need to use inverse cos.
cos⁻¹ = 72/87
put into a calculator and answer is approximatelyn34 degrees.
Please help me on this real quick
how much is -(3)(3)=
Answer:
-9
Step-by-step explanation:
Since the threes are in parenthesis, you multiply them first then apply the negative sign.
I hope this helps!
Answer:
-9
Step-by-step explanation:
Multiplying 3 by -3 will get you -9. You know it's negative because only one number is negative and 3*3=9.
As part of a classic experiment on mutations, 10 aliquots of identical size were taken from the same cul-ture of the bacterium E. coli. For each aliquot, the number of bacteria resistant to a certain virus was determined. The results were as follows:
14 15 13 21 15
14 26 16 20 13
Construct a frequency distribution of these days and display it as a histogram.
Determine the mean and the median of the dad and mark their locations on the histogram.
Answer:
a. See the attached excel file for the frequency distribution table, and the attached photo for the histogram.
b. We have:
Mean = 16.7
Median = 15
Note: See the attached photo for the locations of Mean and Median on the histogram.
Step-by-step explanation:
a. Construct a frequency distribution of these days and display it as a histogram.
Note: See the attached excel file for the frequency distribution table, and the attached photo for the histogram.
b. Determine the mean and the median of the dad and mark their locations on the histogram.
From the attached excel file, we have:
Total of F = 10
Total of FX = 167
Therefore, we have:
Mean = 167 / 10 = 16.7
Median is the middle number after arranged the data in ascending or descending order. Using the ascending order, we have:
13 13 14 14 15 15 16 20 21 26
Since 15 and 15 are in the middle, their average are the median which is calculated as follows:
Median = (15 + 15) / 2 = 15
Note: See the attached photo for the locations of Mean and Median on the histogram.
Based on a poll, among adults who regret getting tattoos, 16% say that they were too young when they got their tattoos. Assume that eight adults who regret getting tattoos are randomly selected, and find the indicated probability.
Answer:
The problem is incomplete, but it is solved using a binomial distribution with [tex]n = 8[/tex] and [tex]p = 0.16[/tex]
Step-by-step explanation:
For each adult who regret getting tattoos, there are only two possible outcomes. Either they say that they were too young, or they do not say this. The answer of an adult is independent of other adults, which means that the binomial probability distribution is used 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.
16% say that they were too young when they got their tattoos.
This means that [tex]p = 0.16[/tex]
Eight adults who regret getting tattoos are randomly selected
This means that [tex]n = 8[/tex]
Find the indicated probability.
The binomial distribution is used, with [tex]p = 0.16, n = 8[/tex], that is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = x) = C_{8,x}.(0.16)^{x}.(0.84)^{8-x}[/tex]
Which proportion resulted in the equation 3a = 7b?
StartFraction 3 over a EndFraction = StartFraction 7 over b EndFraction
StartFraction 3 over b EndFraction = StartFraction 7 over a EndFraction
StartFraction a over b EndFraction = StartFraction 3 over 7 EndFraction
StartFraction 3 over 7 EndFraction = StartFraction 3 over b EndFraction
Answer:
The correct one is 3 over b equals 7 over a
Answer:
3/b = 7/a
Step-by-step explanation:
I took it on Edge
A professor is interested in whether or not college students have a preference (indicated by a satisfaction score) for reading a textbook that has a layout of one column or layout of two columns. In the above experiment, what is the dependent variable
Answer:
Satisfaction score
Step-by-step explanation:
The dependent variable may be described as the variable which is being measured in a research experiment. In the scenario described above, the dependent variable is the satisfaction score which is used to measure preference for a one or two column textbook. The dependent variable can also seen as the variable which we would like to predict, also called the predicted variable . The predicted variable here is the satisfaction score.
On dividing 12x³ by 4x the quotient is …..
Answer:
12x^3 is equivalent to
12x*12x*12x which if we multiply is
1728x
we divide by 4x
1728x divided by 4x=432x
Hope This Helps!!!
Answer:
3x^2
Step-by-step explanation:
when u divide 12x^3/4x....u divide 12/4=3 along with the x also..tat is x^3/x=x^2
find the value of...
Answer:
1
Step-by-step explanation:
tan(1)tan(2)....tan(89)=?
Recall tan(90-x)=cot(x) and cot(x)tan(x)=1.
tan(89)=tan(90-1)=cot(1)
tan(88)=tan(90-2)=cot(2)
tan(87)=tan(90-3)=cot(3)
...
tan(46)=tan(90-44)=cot(44)
tan(45)=tan(90-45)=cot(45)
So we can replace the last half of the factors with cotangent of the angles in the first half.
The only one that doesn't get a partner is the exact middle factor which is tan(45).
So this is whar we have:
tan(1)tan(2)tan(3)....tan(45)....cot(3)cot(2)cot(1)
So you should see that cot(1)tan(1)=1 and cot(2)tan(2)=1 and so on....
So the product equals tan(45) and tan(45)=1 using unit circle.
Which of the following is not true regarding the flow of information from the adjusted trial balance on the end-of-period spreadsheet?
The correct statement about the flow of information from the adjusted trial balance on the end-of-period spreadsheet is A. The revenue and expense account balances flow into the income statement.
What is an Adjusted Trial Balance?This refers to the general ledger balance after some changes have been done an account balance such as accrued expenses, depreciation, etc.
Therefore, we can see that from the complete information, the statement that is false about the adjusted trial balance on the end-of-period spreadsheet is option A because the revenue and expense account balances does not flow into the income statement.
The other options from the complete text are:
a. The revenue and expense account balances flow into the income statement.b. The asset and liability account balances flow into the retained earnings statement.c. The revenue and expense account balances flow into the retained earnings statement.d. The retained earnings and dividends account balances flow into the balance sheet.
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Joshua asked each of his friends how many coins they donated to the school fundraiser. The range of this set is 110 and the lowest number of coins is 98. what is the greatest number of coins donated
Answer:
208
Step-by-step explanation:
use the formula x-98=110 since range is the highest number of the group subtracted by the lowest.
The expression x−y equals 0.7 if x and y have certain values. Evaluate the following expressions with the same values of x and y. What is 1/x-y.
PLEASE HELP FAST I NEED THIS DONE IN 30 MINUTES!!!
Answer:
10/7 or 1.428571429
Step-by-step explanation:
We know that x-y=0.7
So, now we have the equation 1÷0.7 or 1÷7/10
Meaning, we can multiply by the reciprocal,
And make this equation into 1×10/7= 10/7
Giving a test to a group of students, the grades and gender are summarized below
A B C Total
Male 20 10 13 43
Female 15 2 11 28
Total 35 12 24 71
If one student is chosen at random,
Find the probability that the student did NOT get an "B"
Answer:
59 / 71
Step-by-step explanation:
Given the data :
A B C Total
Male 20 10 13 43
Female 15 2 11 28
Total 35 12 24 71
The probability of randomly selecting a Student that got B ;
Probability = required outcome / Total possible outcomes
P(getting B) = number of students who got B / total number of students
P(getting B) = 12 / 71
Probability of getting B = 12 /71
Probability of not getting B = P(getting B)' = 1 - P(getting B)
Probability that student did not get "B" = 1 - 12/71 = 59 / 71
rotation 180 degrees about the origin.
Answer:
Click the rotate 'button' twice.
Observe.
The rotate button is rotating the image about the orgin.
Answer:
Click the rotate 'button' twice.
Observe.
The rotate button is rotating the image about the orgin.
Step-by-step explanation:
find the place value of 1 in 382619.
Answer:
Place value of 1 = 1 × 10 = 10
Step-by-step explanation:
In 382619,
Place of 1 = Tens
Place value of 1 = 1 × 10 = 10
Which of the following best describes the relationship between angle a and angle bin the image below?
HW HELP ASAP PLZZZZZ
Answer:
p = 15/x
x= -3
Step-by-step explanation:
For the first problem, we can expand the equation to 4px+4=64
then simplify it to:
4px=60
then divide 4x from both sides of the equation
p=60/4x
then simplify:
p=15/x
For the second problem:
plug in -5 for p so the equation would look like
4(-5x +1)=64
simplify
-20x=60
x= -3
What is the ratio of 2:5
Step-by-step explanation:
The ratio is 2 to 5 or 2:5 or 2/5. All these describe the ratio in different forms of fractions. The ratio can consequently be expressed as fractions or as a decimal.
A ratio of 2 : 5 states a comparison between two quantities.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, a ratio 2 : 5.
Suppose it is a ratio of no. of pens to no. of pencils.
So, a ratio 2 : 5 states for every 2 pens there are 5 pencils out of 7 pen and pencils.
We can also write no. of pens = 2/(2+ 5) = 2/7 and for pencils it is 5(2+5)
= 5/7.
Generally, ratios are in simplest form we can have more pens and pencils here but it must be in the multiple of 7.
learn more about ratios here :
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Plz help I’ll mark you
Answer:
A 1/2
Step-by-step explanation:
Ratio of short length to hypotenuse
= cos60
= 1/2
John’s grocery bill totaled $200. After he used his coupons, the cash register showed the total bill as $20. Which statement is true?
The grocery bill before the coupons were used was 10 times as much as the bill after the coupons were used.
The grocery bill after the coupons were used was 10 times as much as the bill before the coupons were used.
The grocery bill before the coupons were used was 100 times as much as the bill after the coupons were used.
The grocery bill after the coupons were used was 100 times as much as the bill before the coupons were used.
Answer:
The grocery bill before the coupons were used was 10 times as much as the bill after the coupons were used.
Step-by-step explanation:
The price after coupons were used is 20, and the price before was 200. 20x10 =200
12.03 MC)
rectangle ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A' lie?
Hint: Place your coordinates in the blank with no parentheses and a space after the comma in the form: x, y]
9514 1404 393
Answer:
(1, -1)
Step-by-step explanation:
The three transformations are ...
(x, y) ⇒ (-x, y) . . . . . reflection over the y-axis
(x, y) ⇒ (x, -y) . . . . . reflection over the x-axis
(x, y) ⇒ (-x, -y) . . . . . rotation 180°
Then the composition of the three transformations is ...
(x, y) ⇒ (x, y) . . . . . . back to the original position
A(1, -1) ⇒ A'(1, -1)
Answer:
(1, -1)Step-by-step explanation:
hope it helps muchSteve has 12 biscuits in a tin.
There are 7 digestive and 5 chocolate biscuits.
Steve takes two biscuits at random from the tin.
Work out the probability that he chooses two different types of biscuits.