A random sample of 102 full-grown lobsters had a mean weight of 16 ounces and a standard deviation of 3.4 ounces. Construct a 98 percent confidence interval for the population mean μ. The best point estimate for a confidence interval estimating the population μ is____ounces.
Answer:
The best point estimate for a confidence interval estimating the population μ is 16 ounces.
The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The best point estimate for a confidence interval estimating the population μ is
The sample mean, so 16 ounces.
T interval
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 = 102 - 1 = 101
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 101 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.36
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.36\frac{3.4}{\sqrt{102}} = 0.79[/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 16 - 0.79 = 15.21 ounces
The upper end of the interval is the sample mean added to M. So it is 16 + 0.79 = 16.79 ounces
The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.
PLEASE ANSWER FAST
15 POINTS WILL MARK BRAINLIEST
Which graph shows the result of dilating this figure by a factor of One-third about the origin?
A.) On a coordinate plane, triangle A B C has points (negative 6, 6), (6, 6), (6, negative 6).
B.) On a coordinate plane, triangle A prime B prime C prime has points (negative 2, 2), (2, 2), (2, negative 2).
C.) On a coordinate plane, triangle A prime B prime C prime has points (negative 3, 3), (3, 3), (3, negative 3).
D.) On a coordinate plane, triangle A prime B prime C prime has points (Negative 18, 18), (18, 18), (18, negative 18).
On a coordinate plane, triangle A prime B prime C prime has points (negative 12, 12), (12, 12), (12, negative 12).
Answer:
I think the answer is A. Hope this helps!
Step-by-step explanation:
Janet bought 12 guavas and 16 apples. What is the ratio of guavas to apples?
12 : 16
divide by 4
3 : 4
that's it
Simplify the expression: 2x+1+7x
Answer:
9x+1 is your answer
Step-by-step explanation:
2x+1+7x
2x+7x+1
9x+1
Answer:
9x+1
Step-by-step explanation:
2x+1+7x= 9x+1
can i have brainliest please
4. Triangle PSV is shown on the coordinate grid. The coordinates of each vertex of the triangle are integers. What is the slope of PV?
Answer:
-4,1
Step-by-step explanation:
The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
If the coordinates of each of the vertex on the coordinate grid:
P = (2, 4)
S = (3, 4)
V = (3, 0)
The slope of PV is -4.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
Triangle PSV:
The coordinates of each of the vertex on the coordinate grid:
P = (2, 4)
S = (3, 4)
V = (3, 0)
The slope of PV:
Choose any two coordinates from the line PV.
V = (3, 0) = (A, B)
P = (2, 4) = (C, D)
The slope of PV:
= (D - B) / (C - A)
= (4 - 0) / (2 - 3)
= 4 / -1
= -4
Thus,
If the coordinates of each of the vertex on the coordinate grid:
P = (2, 4)
S = (3, 4)
V = (3, 0)
The slope of PV is -4.
Learn more about coordinates here:
https://brainly.com/question/13118993
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Martin says the area of a tile with a length of 1 foot by a width of 1 foot has an area of 1 square foot. And, to find 1/2 of this area, he would need to find 1/2 of the width and 1/2 of the length, and then multiply those two values. Unfortunately, his method is incorrect. Show at least one equation to show why this method would not work, and briefly state a method that will find 1/2 of 1 square foot.
I will mark brainliest if right really need help timed test.
Answer:
hvf yiuu Rex gghghhhhtctvuu122223850885bbbbbbbbygggggggggggggggggggggggh
Hey guys I think I know the answer but I cant afford to get it wrong-
Answer: $1.50 per ticket
Step-by-step explanation:
Divide 7.50 by 5 (You can do any of them. Like, 10.50/7 or 13.50/9 but you'll get the same answer.)
Once you divide them, you'll get 1.5.
$1.50 per ticket.
Not that bad
A student measured her height to be 51 inches. What is the student's height in feet and inches?
Enter the numbers in the boxes provided.
1 foot = 12 inches.
Divide total inches by 12:
51 / 12 = 4.25 feet.
The whole number is the number of feet. Now multiply the decimal portion by 12 to get inches:
0.25 x 12 = 3 inches
51 inches = 4 feet 3 inches
The student is 4 feet 3 inches tall
If she is 51 inches, and you want to find the height in feet and inches, just add 12 each times from zero, and since 12 inches is equal to one foot, we can determine the following: 12 can go into 51 about 4 times, which is roughly 48 inches. Then, just subtract 48 from 51, and the answer to that is 3. And since we already know that 48 inches is 4 feet, then all you need to do is add the 3 inches that are left, and you get 4' 3'', or four feet and three inches. I hope this helps you, have a great day!
Ege saat 21.30da yattı ertesi sabah 7.15'te uyandı.Ege kaç saat kaç dakika uyudu
ACİLLLLLLL LAZIM!!!!!!!!!!!!!
Answer:
ega caava 68=46
Step-by-step explanation:
tura pu ka dakkia chu la
The regression equation below relates the scores students in an advanced statistics course received for homework completed and the subsequent midterm exam. Homework scores are based on assignments that preceded the exam. The maximum homework score a student could obtain was 500 and the maximum midterm score was 350. The regression line that was obtained is given by y= -84.4+ .91x If a student had a homework score of 420, the midterm score would be predicted to be:_______
Answer:
294
Step-by-step explanation:
Given the regression equation :
y= -84.4+ .91x
The value of the x axis is the independent variable which is the homework score ; the predicted variable is the mid term score, which is the values represented on the y - axis :
. Hence, For a student whose homework score, x = 420 ; the predicted mid term score will be :
y= -84.4+ .91(420)
y = - 84.4 + 378
y = 293.6
y = 294
Meggie starts with 100$ in her account.she wants to deposit 5$ per week . write an equation in slope intercept form to represent this situation
Answer:
y = 5x + 100
Step-by-step explanation:
Item 16
Find the perimeter of the figure to the nearest hundredth. due today
Answer:
42.84 cm
Step-by-step explanation:
1) Find the perimeter of the top trapezoid. (In cm) 6 + 8 + 12 + 10 = 36 cm
2) Find the circumference of the semicircle with the formula 0.5(pie times D) where D is the diameter. Another formula is 0.5(pie times 2r) where r is the radius. Approximate pie to 3.14 so we should get 0.5 * 3.14 * 12 = 18.84 cm
3) We do not need the length of the base of the trapezoid so we take 36 + 18.84 - 12 = 42.84 cm
Two numbers are in the ratio 2:3 and have sum of 25...
What are the numbers?
Answer:
Use this as an example.
Step-by-step explanation:
a/b = 2/6 = 1/3
a/b = 1/3
b = 3a
a + b = a + 3a = 192
4a = 192
a = 192/4 = 48
b = 3a = 3(48) = 144
Giving out the brainlest answer !!! help plsss ASAP !!!!!!!
Answer:
5
Step-by-step explanation:
As given
1/sqrt2=x/5sqrt2
5sqrt2/sqrt2=x Both sqrt will get cancelled
5=x
What is the value of the expression below when x=7?
6x+ 10
A. 52
B. 67
C. 42
D.77
Answer:
52
Step-by-step explanation:
when a letter is next to a number like that and they tell u what the letter is u times it so 6x7+10=52 hope this helped :P
Which equation can be used to find A, the area of the parallelogram shown? A = 5 × 9 A = 4 × 9 A = 12 × 5 × 9 A = 12 × 4 × 9
Answer:
I believe it's A=5 times 9 but since the triangle is special (3-4-5), it could be 12 times 5. Hope this kinda help :)
help plz
The first four terms of a sequence are shown below:
9, 5, 1, −3
Which of the following functions best defines this sequence?
A.) f(1) = 9, f(n + 1) = f(n) − 4; for n ≥ 1
B.) f(1) = 9, f(n + 1) = f(n) + 4; for n ≥ 1
C.) f(1) = 9, f(n + 1) = f(n) − 5; for n ≥ 1
D.) f(1) = 9, f(n + 1) = f(n) + 5; for n ≥ 1
Answer:
A.) f(1) = 9, f(n + 1) = f(n) − 4; for n ≥ 1
Step-by-step explanation:
The first four terms of a sequence are shown below.
Let
f(1) = 9
f(2) = 5
f(3) = 1
f(4) = -3
Therefore we know that
f(2) - f(1) = 5 - 9
f(2) - f(1) = - 4
f(2) = f(1) - 4
f(3) - f(2) = 1 - 5
f(3) - f(2) = - 4
f(3) = f(2) - 4
f(4) - f(3) = -3 - 1
f(4) - f(3) = - 4
f(4) = f(3) - 4
Hence the answer is A.) f(1) = 9, f(n + 1) = f(n) − 4; for n ≥ 1
Eric's Dad asks him to figure out the tax on the meal his family just finished eating at their favorite restaurant. The total bill was 57.60 the tax is 7.5%. what is the amount of tax they will pay for this meal?
Answer:
7.5 percent of 57.60 is 4.32
I hope this helps. :D
Write 66,610 in scientific notation.
Please help trigonometry and special right trianglez
Answer:
Step-by-step explanation:
I NEED HELP NOW!! PLEASE
Answer:
320 cubic inches
Step-by-step explanation:
if I remember correctly you have to multiply the given numbers and then divide by that answer by 3 which gives you 320
Answer:
Volume of a rectangular pyramid = (length x width x height) /3 cubic units.
where W = 8 in, h = 12 in, L = 10 in.
Step-by-step explanation:
Volume = ( 10 x 8 x 12 ) /3 = 320 cubic inches.
I hope it help. Have a nice day.
What is -60a^2+642a-420
Answer:
The answer is −6(10a−7)(a−10)
Step-by-step explanation:
1) Factor out the common term 6.
[tex] - 6( {10a}^{2} - 107a + 70)[/tex]
2) Split the second term in 10a² - 107a + 70 into two terms.
[tex] - 6( {10a}^{2} - 7a - 100a + 70)[/tex]
3) Factor out common terms in the first two terms, then in the last two terms.
[tex] - 6(a(10a - 7) - 10(10a - 7))[/tex]
4) Factor out the common term 10a - 7.
[tex] - 6( 10a - 7)(a - 10[/tex]
Therefor, the answer is -6 ( 10a - 7) (a - 10).
A 10-foot ladder is leaning against a tree. The bottom of the ladder is 6 feet away from the bottom of the tree. About how high up the tree does the top of the ladder reach?
4 feet
6 feet
8 feet
16 feet
Answer:
8 feet
Step-by-step explanation:
Ladder = hypotenuse
bottom of ladder to tree = leg
x, 6, 10
Clear 3-4-5 triangle so,
x=8
2x+ 1/X-3+x/x-3+4/x-3
A brochure claims that the average maximum height a certain type of plant is 0.7 m. A gardener suspects that this estimate is not accurate locally due to soil conditions. A random sample of 43 plants is taken. The mean height of the plants in the sample is 0.65m. Using a 1% level of significance, perform a hypothesis test to determine whether the population mean is different from 0.7m. Assume that the population standard deviation is 0.2 m.
Answer:
We accept the null hypothesis, that is, that the population mean is not different from 0.7.
Step-by-step explanation:
A brochure claims that the average maximum height a certain type of plant is 0.7 m.
This means that the null hypothesis is:
[tex]H_{0}: \mu = 0.7[/tex]
A gardener suspects that this estimate is not accurate locally due to soil conditions.
Hypothesis test to determine whether the population mean is different from 0.7m, which means that the alternate hypothesis is:
[tex]H_{a}: \mu \neq 0.7[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.7 is tested at the null hypothesis:
This means that [tex]\mu = 0.7[/tex]
A random sample of 43 plants is taken. The mean height of the plants in the sample is 0.65m.
This means, respectively, that [tex]n = 43, X = 0.65[/tex]
Assume that the population standard deviation is 0.2 m.
This means that [tex]\sigma = 0.2[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.65 - 0.7}{\frac{0.2}{\sqrt{43}}}[/tex]
[tex]z = -1.64[/tex]
Pvalue of the test:
Since we are testing that the mean is different of a value, and z is negative, the pvalue of the test is 2 multiplied by the pvalue of z = -1.64
z = -1.64 has a pvalue of 0.0505
2*0.0505 = 0.101
Using a 1% level of significance, perform a hypothesis test to determine whether the population mean is different from 0.7m.
0.101 > 0.01, which means that we accept the null hypothesis, that is, that the population mean is not different from 0.7.
A trail is 2 miles long. There is a marker every 1/8 mile. How many markers are there?
Answer:
16
Step-by-step explanation:
Number of Markers =
[tex]2 \div \frac{1}{8} \\ = 2 \times 8 \\ = 16[/tex]
Simplify -5( 7 + x ) + 2 5/6x.
1. What is the purpose of using a control group and an experimental group in a research study? Give an
example of a situation where they would be used.
Answer:
A control group is used in an experiment as a point of comparison.
Step-by-step explanation:
By having a group that does not receive any sort of treatment, researchers are better able to isolate whether the experimental treatment did or did not affect the subjects who received it.
5. The recursive formula NEXT = 3. NOW models the number of goldfish in a pond each year. If there are 36 goldfish in the pond after 3 years, how many goldfish will be in the pond after 6 years? A 324 B. 936 c. 972 D. 2,916
Answer:
B
Step-by-step explanation:
The lateral surface area is _ square centimeters.
Answer: 24
Step-by-step explanation: