Answer:
Step-by-step explanation:
4y - 2(5 - y + 4) = 4y - 2(9 - y)
= 4y + 9*(-2) - y *(-2)
= 4y - 18 + 2y {Combine like terms 4y and 2y}
= 6y - 18
6y - 18 = 6*y - 6*3
= 6(y - 3)
6y- 18 = 2 *3y - 2*9
= 2(3y -9)
2(3y - 9) and 6(y- 3 ) are equivalent to 4y - 2(5- y +4)
Others are not equivalent
Determine the margin of error for a 90% confidence interval to estimate the population mean when s = 40 for the sample sizes below.
a) n=14
b) n = 28
c) n = 45
a) The margin of error for a 90% confidence interval when n = 14 is
(Round to two decimal places as needed.)
b) The margin of error for a 90% confidence interval when n=28 is
(Round to two decimal places as needed.)
c) The margin of error for a 90% confidence interval when n = 45 is
(Round to two decimal places as needed.)
Answer:
a) The margin of error for a 90% confidence interval when n = 14 is 18.93.
b) The margin of error for a 90% confidence interval when n=28 is 12.88.
c) The margin of error for a 90% confidence interval when n = 45 is 10.02.
Step-by-step explanation:
The t-distribution is used to solve this question:
a) n = 14
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 = 14 - 1 = 13
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 13 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.7709
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.7709\frac{40}{\sqrt{14}} = 18.93[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The margin of error for a 90% confidence interval when n = 14 is 18.93.
b) n = 28
27 df, T = 1.7033
[tex]M = T\frac{s}{\sqrt{n}} = 1.7033\frac{40}{\sqrt{28}} = 12.88[/tex]
The margin of error for a 90% confidence interval when n=28 is 12.88.
c) The margin of error for a 90% confidence interval when n = 45 is
44 df, T = 1.6802
[tex]M = T\frac{s}{\sqrt{n}} = 1.6802\frac{40}{\sqrt{45}} = 10.02[/tex]
The margin of error for a 90% confidence interval when n = 45 is 10.02.
Please help! What is the volume of the cone?
Answer and explanation please! <3
Answer: V≈804.25
Step-by-step explanation:
V=πr2h
3=π·82·12
3≈804.24772
What is the approximate area of this figure?
A. 25 cm
B. 31 cm
C. 38 cm
D. 42 cm
Answer:
I would say about B. 31 cm
Step-by-step explanation:
if you cut the shape into a triangle and a parallelogram, then you can easily guess that the other side of the square is about 4, and 4 x 4 is 16.. then you will multiply 8 by 4 and get 32 and then divide that by 2 and get 16 again, when you add both 16's together, you get 32, but 31 is closest
Please help question in the picture
Answer:
64 m²
Step-by-step explanation:
Area of the trapezoid = ½(a + b)h
Where,
a = 6 m
b = 10 m
h = 8 m
Plug in the values
Area = ½(6 + 10)*8
Area = ½(16)*8
Area = 8*8
Area = 64 m²
Estelle swims for the Shorewood Sharks swim team, Last season, she kept track of how far
she swam at each practice.
Distance swam (m)
+
1,000
1,400
1,800
2,200
2,600
3,000
What was the shortest distance Estelle swam at practice?
meters
Answer:1,400
Step-by-step explanation:
The shortest distance Estelle swam at practice is 200 meters if the Estelle swims for the Shorewood Sharks swim team
What is the box and whisker plot?A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
We have box plot data:
1,000 1,400 1,800 2,200 2,600 3,000
From the box plot:
The shortest distance Estelle swam at practice is given by:
= 1800—(1400+1800)/2
= 1800 – 1600
= 200 meter
Thus, the shortest distance Estelle swam at practice is 200 meters if the Estelle swims for the Shorewood Sharks swim team
Learn more about the box and whisker plot here:
brainly.com/question/3209282
#SPJ2
7. Mrs. Paulson is constructing a 90% confidence interval for the difference of means based on independent
simple random samples from two populations. The sample sizes are n, = 6 and n, =14. She draws dotplots
of the sample data to check one of the conditions for using two-sample i procedures. Which of the following
descriptions of those dotplots would suggest that it is safe to perform inference?
(a) Both dotplots are roughly symmetric. There are no outliers in either dotplot.
(b) Both dotplots are roughly symmetric. The dotplot of sample 2 has an outlier.
(c) Both dotplots are strongly skewed to the right. There are no outliers in either dotplot.
(d) Both dotplots are roughly symmetric. Both dotplots have one upper outlier
(e) i procedures are not recommended in any of these cases.
The description that will show that it is safe to perform inference is that (a) Both dotplots are roughly symmetric. There are no outliers in either dotplot.
What description would make it possible to make inferences?In order to use the two-sample t procedure to make inferences, certain conditions need to be met such as the sample being random and independent.
The variances for the groups in the data need to be equal which is why the presence of no outliers in either dotplot would present an safe opportunity to be able to perform inferences on the data.
In conclusion, option A is correct.
Find out more on two-sample t-tests at https://brainly.com/question/17438355.
Help please!!
Brainliest if right
Answer:
top and bottom
Step-by-step explanation:
What probability statement would you add to P(blue) = 1 10 to make a complete probability model for the event choosing a foam ball at random from the box?
Answer:
The chances of landing on blue are 1 in 4, or one fourth. The chances of landing on red are 1 in 4, or one fourth. This problem asked us to find some probabilities involving a spinner.
What is the solution set of x2 – 10 = 30x?
{–220, 250}
{–250, 220}
{15 – StartRoot 235 EndRoot, 15 + StartRoot 235 EndRoot}
{–15 – StartRoot 235 EndRoot, –15 + StartRoot 235 EndRoot}
9514 1404 393
Answer:
(c) {15 -√235, 15 +√235}
Step-by-step explanation:
For solutions p and q, the trinomial is ...
(x -p)(x -q) = x² -(p+q)x +pq
That is, the constant term (-10) must be the product of the roots, and the x-coefficient (-30) must be the opposite of their sum.
The sums of roots in the answer choices are ...
a) 30
b) -30
c) 30
d) -30
We know the sum of roots is 30, so we can eliminate choices 'b' and 'd'.
The product of the roots must be -10, eliminating choice 'a'. Thus, the only viable choice is C.
_____
The product of the roots of C is ...
(15 -√235)(15 +√235) = 15² -235 = -10 . . . . as required
Answer:
C
Step-by-step explanation:
Traci has 8 yards of fabric. She uses 10 feet of this fabric to make pillows. How much fabric does Traci have left
Answer:
She has 14 feet left
Step-by-step explanation:
1 yard = 3 feet of fabric
8 yards x 3 feet/yard = 24 feet
24 - 10 = 14 feet
Find the equation of the line specified.
The slope is -7, and it passes through ( 5, -3).
a.
y = -7x - 3
c.
y = -14x + 32
b.
y = -7x + 32
d.
y = -7x - 38
please help me someone i really need this to get my grade up :(
Answer: D
2 1/2 divided by 1/4 = 10
hope this gets ur grade up keep trying ur best!! :D
Solve each division problem, and classify it based on its quotient.
Answer:
show the image so i can answer
plz put the image so i can see cus there are two types
Find the highest common factor(HCF) of 18 and 24
If X = 12 inches, Y = 16 inches, and Z = 20 inches, what is the tangent of
Answer:
who do pow en odd an odd an 9 all 9 FM
Frank has 6 red socks, 8 black socks, and 10 white socks in his sock drawer. If Frank blindly reaches into his sock drawer, what is the probability that he will select a white sock and then another white sock? Round to the nearest percent A. 9% B. 16% C. 41% D. 80%
Answer:
B
Step-by-step explanation:
The first probability is 10/24, and the second is 9/23. If you multiply these two fractoins you get 15/92. 15/92 is approximately equal to 16%.
ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answer:
[tex] \sqrt{18 } is \: a \: \: answer \: pls \: follow \: me[/tex]
Answer:
Step-by-step explanation:
-3i Square root of 2
In AJKL, j = 55 inches, k = 51 inches and L=38°. Find the area of AJKL, to the
nearest square inch.
Answer:
863
Step-by-step explanation:
From reference sheet.
Plug in values.
Area≈863.465≈863
Evaluate and round.
PLEASE HELP 100 points I’m on a time(there’s a picture) With respect to air safety, in which year between 1966 and 1976 did the lowest number of air fatalities occur, and how
many passengers were killed in that year?
Year:1976,1974,1975
Passengers killed: 552,441,386
Looking at the column for number of passengers killed.
The lowest year was 1975 with 441 killed.
Answer:
1975
441
Step-by-step explanation:
help me plz.................
Answer:
[tex]\frac{1}{8}[/tex] cup
Step-by-step explanation:
[tex]y=\frac{7}{8} -\frac{1}{4}-\frac{1}{2}[/tex]
[tex]y=\frac{7}{8}-\frac{2}{8}-\frac{4}{8}[/tex]
[tex]y=\frac{7}{8}-\frac{6}{8}[/tex]
[tex]y=\frac{1}{8}[/tex]
5. In a right triangle, the sum of the lengths of the two legs is 100 meters. What are the lengths of the three sides
of this right triangle if the triangle's area is maxed out?
Answer:
6m by 8m by 10m
Step-by-step explanation:
6²+8²= 100
36+64=100
100=100
Two families are saving money for a vacation. The Juarez family has saved $1000 and will save $50 more each week. The Kim family has saved $500 and will save $75 more each week. Write a system of equations to represent how much money each family will save.
Answer:
There are many ways you could put this let me demonstrate.
Step-by-step explanation:
If they were to do this for a year (52 weeks) that would be 50x52=2600+1000=3600. Then 75x52=$3900+500=$4400. but if you were to cut that time in half to 6 months it would go something like this. 50x26=1300+1000=2300. Then 75x26=1950+500=2450. It all has to do with the time. I hope this helped.
Find the value of the trig function indicated
Answer:
A. (2√13)/13
Step-by-step explanation:
Recall, SOHCAHTOA.
Thus,
Cos θ = Adjacent/Hypotenuse
Adjacent = 16
Hypotenuse = 8√13
Therefore,
Cos θ = 16/(8√13)
Rationalize
Cos θ = (16*√13)/(8√13*√13)
Cos θ = (16√13)/(8*13) = (2√13)/13
You invest $17,804 in a CD that has a 6.275% annual interest rate, compounded continuously. How much will you have in 25 years?Round to the nearest cent.
Answer:
R = 3.813% per year.
Step-by-step explanation:
A = Accrued amount (principal + interest) P = Principal amount r = Annual nominal interest rate as a decimal R = Annual nominal interest rate as a percent r = R/100 n = number of compounding periods per unit of time t = time in decimal years; e.g., 6 months is calculated as 0.5 years. Divide your partial year number of months by 12 to get the decimal years. I = Interest amount ln = natural logarithm.Marcelo can select from 2 types of oranges and 3 types of peaches. If he randomly selects 1 orange and 1 peach, how many possible choices does he have? ___________ possible choices
Answer:
6 choices
Step-by-step explanation:
An equilateral triangle has a side length of 10 units. What is it’s area?
Answer:
[tex]25\sqrt{3}=43.3\ \mathrm{units}[/tex]
Step-by-step explanation:
Area of a triangle = [tex]\frac{1}{2}ab\textrm{sin}(\theta)[/tex] where [tex]a[/tex] and [tex]b[/tex] are the sides of the triangle and [tex]\theta[/tex] is the angle between those two sides.
The side length are 10, and since its an equilateral triangle, the angle is 60 degrees. Thus, the area becomes [tex]\frac{1}{2}(10)(10)\textrm{sin}(60)=25\sqrt{3}=43.3\ \mathrm{units}[/tex]
x
What are the perimeter and area
of a square with side length of 12 in.?
A. P= 24 in., A = 24 in.?
B. P= 144 in., A = 48 in.2
O
C. P = 24 in., A = 144 in.2
O
D. P= 48 in., A = 144 in.2
Answer: P = 48 in, A = 144 in.2
Step-by-step explanation: Since a square has equal sides and we know one side length is 12 inches, then all the sides are 12 inches. For perimeter, we add all sides, which would equal 48 and for area, we multiply 2 of the sides, which would be 144.
I’ll mark as BRANLIEST!!
35 POINTS!!
- Determine whether each table or rule represents a linear or exponential function. Explain why or why not.
Answer:
Definitions of gravitational force. (physics) the force of attraction between all masses in the universe; especially the attraction of the earth's mass for bodies near its surface. synonyms: gravitation, gravitational attraction, gravity.
Cynthia says that when you evaluate the expression (21 3/4 + 4 1/2) - 5 3/12 you get a whole number. What whole number do you get?
Answer: 21
Step-by-step explanation:
First, convert the mixed fractions to improper fractions.
(87/4 + 9/2) - 21/4
Next, calculate within the parentheses:
87/4 + 9/2
Next, change the denominator of 9/2 to 4. To do that, multiply the denominator of 9/2 to get 4 to match the denominator of the first fraction. 9/2 * 2/2 = 18/4.
87/4 + 18/4 = 105/4
Then, 105/4 - 21/4 = 84/4
Finally, divide 84 by 4 and you get 21.
the sum of 8 and joses score is 35 use the variable j yo represent josés score
Answer:
8 + j = 35
subtract 8 from both sides
j = 27
Step-by-step explanation: