Answer:
-3 + 40 - 80 = -43
hope it helps
A random sample of 10 employees of a company was selected to estimate the mean one-way commute time for all employees at the company. The mean and standard deviation of the sample were 38 minutes and 6 minutes, respectively. Assuming all conditions for inference are met, which of the following is the margin of error, in minutes, for a 95 percent confidence interval for the population mean one-way commute time? 1.812(610√) 1.812 times the fraction with numerator 6, and denominator the square root of 10 A 1.833(610√) 1.833 times the fraction with numerator 6, and denominator the square root of 10 B 1.96(610√) 1.96 times the fraction with numerator 6, and denominator the square root of 10 C 2.228(610√) 2.228 times the fraction with numerator 6, and denominator the square root of 10 D 2.262(610√)
Answer:
The margin of error is of [tex]2.262\frac{6}{\sqrt{10}} = 4.29[/tex]
Step-by-step explanation:
We have the standard deviation for the sample. So 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 = 10 - 1 = 9
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.262
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.262\frac{6}{\sqrt{10}} = 4.29[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The equation that represents the margin of error is: [tex]E = 2.262 \times \frac{6}{\sqrt {10}}[/tex]
The given parameters are:
Sample size = 10Mean = 38Standard deviation = 6Confidence Interval = 95%The margin of error is calculated using:
[tex]E = z_y \times \frac{\sigma}{\sqrt n}[/tex]
So, we have:
[tex]E = z_y \times \frac{6}{\sqrt {10}}[/tex]
The quantile at 95% confidence interval is 2.262
So, the equation becomes
[tex]E = 2.262 \times \frac{6}{\sqrt {10}}[/tex]
Hence, the equation that represents the margin of error is: [tex]E = 2.262 \times \frac{6}{\sqrt {10}}[/tex]
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A 2.5-kg bag of grass seed covers an area of 1200 m2. How much seed is needed to cover a square park with side length 500 m?
Answer:
520.83 k g of seed
Step-by-step explanation:
Answer:
A #2.5#-#kg# bag of grass seed covers an area of #1200# #m^2#. How much seed is needed to cover a square park with side length #500# #m#?
Step-by-step explanation:
A portable basketball hoop is on sale for 25% off the original price of $142. What is the sale price?
Carla is fundraising for her school. She buys t-shirts for $7.50 each and then she sells the t-shirts with a markup of 150%. What is the selling price of each t-shirt?
Dinner costs $22.50. Apply sales tax of 9.5%. Then add a 20% tip to the after tax bill. What is the final cost of dinner?
Find the interest earned on a $125 investment at a 7.5% simple interest rate for 6 months? Use the formula I = Prt
Find the total account balance for a $400 investment that earns a 6% simple interest rate over a 5 year period. Use the formula I = Prt.
Sweatshirts are on sale for 35% off the regular price, x. What expression can be used to find the sale price of a sweatshirt.
Answer in order.
HI i need help i will give brainliest to correct answer.
Answer:
Top picture: 1/3
middle picture: 1
bottom picture: 1/2
Step-by-step explanation:
rise over run
DJ Ali is making a playlist for a friend; she is trying to decide what 99 songs to play and in what order they should be played. If she has her choices narrowed down to 1616 blues, 2323 country, and 1515 jazz songs, and she wants to play an equal number of blues, country, and jazz songs, how many different playlists are possible
Answer: 1.637 x 10¹⁴ different playlists
Step-by-step explanation: Since DJ Ali needs to choose 9 songs and wishes that the number of blues, country and jazz songs are the same, she needs to pick 3 songs of each type. The total number of ways she can choose the songs, without considering their order is:
The number of possible ways of ordering those nine song is:
There are 1.637 x 10¹⁴ different possible playlist.
Answer:
If she wanted to play 99 songs and play an equal amount of blues, country, and jazz she would play 33 songs from each category.
33 blues
33 country
33 jazz
= 99 songs
Step-by-step explanation:
Find the measure of angle 1
A. 90
B. 110
C. 180
Answer:
90°
Step-by-step explanation:
Amy and two of her friends eat lunch at a restaurant. Their bill, including tax, comes to $27.63. They decide to split the bill equally. Amy wants to leave a 20% tip for her portion. What is the total amount Amy should pay, including tip? Round to the nearest cent.
A graphing calculator is recommended. A bacteria culture starts with 300 bacteria and doubles in size every half hour. (a) How many bacteria are there after 2 hours? bacteria (b) How many bacteria are there after t hours? y = bacteria (c) How many bacteria are there after 40 minutes? (Round your answer to the nearest whole number.)
Answer:
a) 4800 bacteria
b) [tex]y(t) = 300(4)^t[/tex]
c) 754 bacteria
Step-by-step explanation:
A bacteria culture starts with 300 bacteria and doubles in size every half hour.
This means that the number of bacteria after t periods of half hour is given by:
[tex]y(t) = 300*(2)^{t}[/tex]
(a) How many bacteria are there after 2 hours?
2 hours is 2*60/30 = 4 periods of 2 hours, so this is y(4).
[tex]y(4) = 300*(2)^{4} = 300*16 = 4800[/tex]
(b) How many bacteria are there after t hours?
It doubles every half hour, so each hour, it is multiplied by 4. Then
[tex]y(t) = 300(4)^t[/tex]
(c) How many bacteria are there after 40 minutes?
40 minutes is 40/30 = 1.33 periods of half hour. So this is y(1.33).
[tex]y(1.33) = 300*(2)^{1.33} = 754[/tex]
Create and manipulate a data frame.
i) Create a `data.frame` named `my.trees` that has the following columns: - `
Girth = c(10.3, 10.6, 10.8, 13.5, 13.7, 13.8, 14.0)` - `
Height = c(70, 65, 63, 72, 81, 83, 66)` - `
Volume = c(10.3, 10.3, 10.2, 16.4, 18.8, 19.7, 15.6)`
ii) Extract the second observational unit.
iii) Extract the `Height` column referring to it by name.
iv) Print out a data frame of all the observations except for the firt observation.
Intrigued by a 2013 study at the University of Nebraska that suggested marijuana smokers may be thinner than other adults, a group of students did a project to explore the relationship between body mass index (BMI) and amount of time spent under the influence of marijuana (measured in hours per week). Based on a random sample of 33 students at their university, they used BMI as the response variable. The equation of the least-squares regression line is: hours per month under influence = 49.2−1.15 BMI. Also, r2=0.134 .
this question is incomplete, the complete question is:
1. is this model effective
2. what is the correlation coefficient for this data.
3. for a student with a bmi of 25, what is the predicted number of hours under the influence.
Step-by-step explanation:
1. first of all this model is not effective because we have r² as 0.134. this tells us that only 13.4 percent of the of the variations that exist in this data has been explained by the model
1. we get the correlation coefficient by
[tex]+-\sqrt{r^{2} }[/tex]
the regression slope coefficient has a negative sign. this is what we would use in calculating the correlation coefficient.
[tex]-\sqrt{r^{2} }[/tex]
= -√0.134
= -0.366
therefore the correlation coefficient is -0.366
2. to get the number of hours under the influence with a bmi of 25
the equation is
49.2-1.15bmi
= 49.2-1.15(25)
= 49.2-28.75
= 20.45
What does Q equal to
Math 7th grade... help pls thanks
Answer:
35
Step-by-step explanation:
1 bracelet costs $7
5 bracelets is 7*5=35
As we can see with the numbers they gave us every bracelet costs 7 dollars, 1 =7, 2=14 and so on. With this information we can just take the number 5 and multiply it by 7 which would equal 35. Or you could add 7 to 21 and then 7 to 28. Whichever one works for you.
Hope this helped
what is 66.6% recurring as a fraction?
Answer:
Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is
1
number to the right of the decimal point, place the decimal number over
10
1
(
10
)
. Next, add the whole number to the left of the decimal.
66
6
10
Reduce the fractional part of the mixed number.
66
3
5
Convert
66
3
5
to an improper fraction.
333
5
Step-by-step explanation:
5. Ms. Gallegos burns 236 calories riding her bike each hour. She wants to burn more
than 590 calories riding her bike at the same rate.
Which inequality represents all possible values for t, the number of hours Ms. Gallegos
must ride her bike to burn more than 590 calories? 6.10A
A. t > 2.5
B. t < 2.5
C. t > 0.4
D. t < 0.4
Answer:
c
Step-by-stepc explanation:
Why does paying off the highest interest rate credit card first make the most mathematical sense?
Answer:
Paying off the highest interest rate credit card first makes the most mathematical sense because it will save you more money and allow you to redirect funds to other financial goals faster. Paying off the highest interest rate first is better because this way you get to avoid financial problems and avoid having to pay too much money of interest since the card with the highest interest rate is usually the one that will cause you the most financial pain.
A twin-engined aircraft can fly 816 miles from city A to city B in 4 hours with the wind
and make the return trip in 6 hours against the wind. What is the speed of the wind?
Answer:
,mnl.khvmfjdrykytdd7ir rvrtuy
Step-by-step explanation:
WILL GIVE BRAINIEST TO THE FIRST PERSON WHO ANSWERS THEM ALL CORRECTLY, BUT U HAVE TO BE QUICK!!!
Answer:
A) a^8
B) 16a^14
C)a^mn
D)24a^yz
E)a^3
F)5a^2
G) a^5
H)a^m-n
estimate each product 1/3 x 28
Answer:
28/3 approximated to 9 1/3
Step-by-step explanation:
multiply the fractions and estimate it to it's alternativve form
A book has 200 pages. If I have read 1/10 of the part of the book then how much part of the book is left to read.
A) 10
B) 20
C) 180
D) 190
Please give correct answer with explanation.
Answer:
180 pages
Step-by-step explanation:
200*1/10
= 200/10
= 20 pages
total pages =200
read = 20 pages
left to read =200-20
=180 pages
3). What is the area of a square with 16cm sides? *
Helpppppppppppppppppp
Answer:
Step-by-step explanation:
256
Answer:
256
Step-by-step explanation:
16 x 16=256
Phil needs to run at least 30 miles this week for his training. If he has already run 18 miles this week, then how many miles should he run on each of the remaining 3 days?
Answer:
4 miles
Step-by-step explanation:
30-18=12
12÷3=4
hope this helped :)
Solve x2 – 3x - 108 = 0.
A. X = -9 and x = 12
B. x = 9 and x = 12
C. X = 9 and x=-12
D. X=-9 and x = -12
Answer:
-9 and 12
Step-by-step explanation:
Emily pays $24 to rent a boat at the lake for up to 6 hours. She constructs the inequality and number line below to represent the number of hours, x, she can use the boat.
Answer:
Emily's inequality x < 6 is correct because the number of hours is less than or equal to.
Emily's number line is incorrect The endpoint is filled in and the number line is greater than the endpoint.
Step-by-step explanation:
Emily's Model:
x < 6
<----|----|----|----|----|----⊕----|----|----|----|----|----|----|----|---->
1 2 3 4 5 6 7 8 9 10 11 12 13 14
What Emily's model should look like to make the number line true:
x < 6
<----|----|----|----|----|----О----|----|----|----|----|----|----|----|---->
1 2 3 4 5 6 7 8 9 10 11 12 13 14
Solve for z.
2 + 8 - z = -24
Answer:
Z=34
Step-by-step explanation:
Answer:
z = 34
Step-by-step explanation:
Given
2 + 8 - z = -24
Combine Like Terms-
10 - z = -24
Rearrange Terms-
-z + 10 = -24
Subtract 10 from both sides
-z + 10 - 10 = -24 -10
Simplify
-z = -34
Divide -1 from both sides
-z/-1 = -34/-1
Answer-
z = 34
7. Find the Value of x. SHOW YOUR WORK OR NO CREDIT!!!!!
Answer:
x=21.9317121994
Step-by-step explanation:
You just look at the half triangle and use the Pythagorean Theorem. One side of the triangle is 9 (half of 18), the other is 20, so you find the hypotenuse.
9²+20²=x²
81+400=x²
481=x²
√481=x
x=21.9317121994
can yoy please help solve yhis problem.2/5b+1=11
Answer:
(2/5)*b+1 = -11 // + 11
(2/5)*b+1+11 = 0
2/5*b+12 = 0 // - 12
2/5*b = -12 // : 2/5
b = -12/2/5
b = -30
b = -30
Step-by-step explanation:
hope this helped :)
Step-by-step explanation: First: Multiply 2/5 by 2. 5x2=10. 10 then turns into o a whole number +1=11.
10+1=11
6 X (22 + 9) = 6 x 22 + 6 x 9
This is an example of ______
property.
Answer:Distributive property
Step-by-step explanation:
6 X (22 + 9) = 6 x 22 + 6 x 9 is an example of the distributive property where you can distribute the multiplication to each term inside the parentheses.
The distributive property states that when you multiply a number by the sum of two or more numbers, you can distribute the multiplication to each term inside the parentheses. Mathematically, it can be expressed as:
a x (b + c) = (a x b) + (a x c)
In the given equation, we have:
6 x (22 + 9) = 6 x 22 + 6 x 9
By applying the distributive property, we distribute the multiplication of 6 to each term inside the parentheses:
6 x 22 + 6 x 9
This simplifies to:
132 + 54
Therefore, the distributive property allows us to break down the multiplication of a number by the sum of two or more numbers into separate multiplications, resulting in the same outcome.
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Please answer! will mark brainilest eight tenths plus nine tenths equals
Answer:
it equals 17 tenths
Step-by-step explanation:
Answer:
the answer will be 0.7 for sure
Step-by-step explanation:
for the steps
the question is given as eight tenths i.e 0.8 and another is given nine tenth i.e 0.9
so when you calculate (add) both
0.8+0.9
gives
0.7
$75 is divided into 5 piles how much in each pile
Answer:
15
Step-by-step explanation:
75/5=15
Answer: 15 dollars in each pile.
Step-by-step explanation:
Since there is 75 in total, and we have to divide the 75 equally between the 5 piles, we can use the division equation: 75 / 5.
75 / 5 = 15.
Therefore, there will be 15 dollars in each pile. Hope this helps and good luck!
whoever answers, i will give brainliest :)
This is due soon, pls help!
Answer:
69
98
Step-by-step explanation:
area= lenght*width
area= 5451
length= 79
which means that
5451=79*width
width=69
Preimieter= 2L+2W
302=2L+2(53)
302=2L+106
196=2L
L=98