Answer:
B.) 0.00692
Step-by-step explanation:
6.92 x 10^-3
0.00692
PLEASE HELP!
A 95% confidence interval is found to be (28, 32). The sample standard deviation is 7, and the sample size is 49. If you wanted a smaller interval, what could you do? A. Decrease the sample size to 36. B. Increase the standard deviation to 10. C. Increase the confidence level to 99.7%. O D. Increase the sample size to 64. SUBMIT
Using the formula for the margin of error, it is found that a smaller confidence interval would be obtained as follow:
D. Increase the sample size to 64.
What is the margin of error of a confidence interval?It is given by the following formula:
[tex]M = z\frac{s}{\sqrt{n}}[/tex]
In which:
z is the critical value(direct proportional with the confidence level).s is the standard deviation.n is the sample size.For a smaller interval, we need to decrease the margin of error, which is possible increasing the sample size, hence option D is correct.
More can be learned about margin of error at https://brainly.com/question/25779324
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The hours of daylight, y, in Utica in days x from January 1, 2013 can be modeled by the equation y = 2.89sin(0.0145x-1.40) + 10.99. How many hours of daylight, to the nearest tenth, does this model predict for February 21, 2013?
Answer:
9.3 hours
Step-by-step explanation:
Given
[tex]y = 2.89\sin(0.0145x-1.40) + 10.99.[/tex]
Required
Hours of sunlight on Feb 21, 2013
First, calculate the number of days from Jan 1, 2013 to Feb 21, 2013
[tex]days = 52[/tex]
So:
[tex]x = 52[/tex]
So, we have:
[tex]y = 2.89\sin(0.0145x-1.40) + 10.99.[/tex]
[tex]y = 2.89\sin(0.0145*52-1.40) + 10.99.[/tex]
[tex]y = 2.89\sin(0.754-1.40) + 10.99.[/tex]
[tex]y = 2.89\sin(-0.646) + 10.99.[/tex]
[tex]y = 2.89*-0.6020 + 10.99.[/tex]
[tex]y = -1.740 + 10.99.[/tex]
[tex]y = 9.25[/tex]
[tex]y = 9.3[/tex] --- approximated
If any of the graphs below have a Hamiltonian circuit, list the vertices of the complete circuit. There may be many possibilities. For full credit, just list one for each graph, if the circuit exists
9514 1404 393
Answer:
ABHGEFDCAdoes not existECBADFEStep-by-step explanation:
A Hamiltonian circuit visits each node once and returns to its start. There is no simple way to determine if such a circuit exists.
__
For graph 2, if there were a circuit, paths ACB, ADB, and AEB would all have to be on it. Inclusion of all of those requires visiting nodes A and B more than once, so the circuit cannot exist.
__
For graph 3, the circuit must include paths BAD and DFE. That only leaves node C, which can be reached from both nodes B and E, so path ECB completes the circuit.
Get brainly if right?
10 points!
Answer:
Tn = -13n +37
ordered list is 24, 11 , -2 , -15, -28 ,-41
What is the slope of the linear relationship shown in this table of values?
Answer: -2 (b)
Step-by-step explanation:
So the slope of the line is the amount that the line changes as it goes along the x or y axis. Think of it like a ramp- goes up or down, steep or flat.
Take a pair of points like (-4, 11) and (2, -1)
{But you can use other points in the chart too. }
-4 to 2 is a distance of 6 --> that is the x
11 to -1 is a distance of -12 --> that is the y
We want the change in y over (or divided by) change in x.
-12 / 6 = -2
Answer:
B
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 11) and (x₂, y₂ ) = (2, - 1) ← 2 ordered pairs from the table
m = [tex]\frac{-1-11}{2-(-4)}[/tex] = [tex]\frac{-12}{2+4}[/tex] = [tex]\frac{-12}{6}[/tex] = - 2 → B
Suppose g(m) varies inversely with M and g (m) = 3.5 when m = 10.
What is the value of m when g (m) = 5 ?
Answer:
m =7.
Step-by-step explanation:
Let the constant number = k.
g(m) = k/m,
3.5 = k/10,
k = 35.
Thus, when g(m) = 5 = 35/m, m = 7.
HII TYSM IF YOU ANSWER ILL GIVE BRAINLIEST did I get some of these right? if not lmk :)
what is A big rubbing alcohol holds 2 liters . How many milliliters is this
Answer:
it equals 2000 mililiters
Step-by-step explanation:
HELP DUE SOON 20 POINTS
Answer:
x = 10
Step-by-step explanation:
m∠KNL = 90
10x - 10 = 90
10x = 100
x = 10
The two given figures are similar. Which statements must be true? Select all that apply.
Answer:
angle B=74°
Step-by-step explanation:
the shapes are similar
If bob gives away 7 blocks, he will have 12 left. How many blocks did he have originally
Answer:
h
Step-by-step explanation:
19 blocks
Answer:
original blocks =19
Step-by-step explanation:
original blocks -7 =12
Add 7 to each side
original blocks -7+7 =12+7
original blocks =19
tv originally cost $400 if the price of the TV increase by 15% what is the new price
Answer:
$460
Step-by-step explanation:
Thus, a product that normally costs $400 with a 15 percent discount will cost you $340.00, and you saved $60.00. You can also calculate how much you save by simply moving the period in 15.00 percent two spaces to the left, and then multiply the result by $400 as follows: $400 x .15 = $60.00 savings.
The interior angle of a polygon is 100 . The other interior angle are all equal to 110. how many sides has the polygon?
There is a formula for the total interior angles of a polygon:
180(sides−2)=total interior angles
One of the angles is 100 and all the others are 110.
We can rewrite the equation.
Assume there is x number of sides.
There are x−1 number of angles, 110 degrees
180(x−2)=100+110(x−1)
180x−360=100+110x−110
70x−360=100−110
70x−360=−10
70x=3507x=35
x=5
There are 5 sides to the polygon.
We can check our answer:
180(sides−2)=total interior angles
Therefore it is true:
The polygon has 5 sides
I HOPE IT HELPS
HAVE A GREAT DAY
#Liliflim
If RT is 10 centimeters long, what is ST?
Answer:
Answer: a
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
First, find x
RT = 2x + 3x
10 = 2x+3x
10 = 5x
10/5 = 2
Now place 2 in place of x in the line ST
ST = 3x
ST = 3 * 2
ST = 6
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Finding the side length of a rectangle given its perimeter or area
The area of a rectangular field is 3975 yd?. If the length of the field is 75 yards, what is its width?
yards
Х
?
Answer:
53 yds
Step-by-step explanation:
Its just 3975 divided by 75
On a piece of paper, graph y = -x2 + 4x - 3 and identify the zeros. Then determine which answer choice matches the graph that you drew and correctly identifies the zeros.
Answer:
C. 1 and 3
Step-by-step explanation:
2,6,10,14 cuales son los siguientes tres términos
Answer:
Step-by-step explanation:
2, 6, 10, 14
Entonces, como puede ver, el patrón en la secuencia se suma por 4 como (+4)
(So, as you see that the pattern in the sequence is added by 4 )
2
2+4=6
6+4=10
10+4=14
Entonces, los próximos tres términos serán (Then, the next three terms will be)
14+4=18
18+4=22
22+4=26
PLEASE HELP !!! WILL MARK WHOEVER GETS IT RIGHT AS BRAINLIEST !!
Answer:
Last one (x + 4, y - 1).
Step-by-step explanation:
From the point, you go right 4 (going right on a graph is positive).
From there, you go down 1 (going down on a graph is negative).
A business student is interested in estimating the 90% confidence interval for the proportion of students who bring laptops to campus. He wishes a precise estimate and is willing to draw a large sample that will keep the sample proportion within seven percentage points of the population proportion. What is the minimum sample size required by this student, given that no prior estimate of the population proportion is available
Answer:
n = 106
Step-by-step explanation:
Given
p = 0.5 and 1-p = q = 0.5
Margin of error = 0.08
Confidence level = 90%
Z score for 90% confidence level = 1.65
As we know -
Margin of error = z * Sqrt (pq/n)
Substituting the given value, we get –
0.08 = 1.65 * Sqrt (0.5*0.5/n)
Squaring both the sides and solving, we get
n = 1.65^2*0.5^2/0.08^2
n = 106.34 = 106
Derek is skiing on a circular ski trail that has a radius of 0.6 km. Derek starts at the 3-o'clock position and travels 2.4 km in the counter-clockwise direction.
a. How many radians does Brian sweep out?
b. When Brian stops skiing, how many km is Brian to the right of the center of the ski trail?
c. When Brian stops skiing, how many km is Brian above of the center of the ski trail?
Answer:
a) Brain sweep out 4 radians
b) Brian is -0.3922 km to the right of the center of the ski trail
c) Brian is -0.4541 km above of the center of the ski trail
Step-by-step explanation:
Given the data in the question;
circular ski trail radius = 0.6 km
Derek starts at the 3-o'clock position and travels 2.4 km in the counter-clockwise direction.
a) How many radians does Brian sweep out?
arc length = 2.4 km
from the diagram;
arc length = rθ
θ = arc length / r
θ = 2.4 / 0.6
θ = 4 radians
Therefore, Brain sweep out 4 radians
b) When Brian stops skiing, how many km is Brian to the right of the center of the ski trail?
from the diagram;
x = rcosθ
we substitute
x = 0.6 × cos(4)
x = 0.6 × -0.65364
x = -0.3922 km
Therefore Brian is -0.3922 km to the right of the center of the ski trail
c) When Brian stops skiing, how many km is Brian above of the center of the ski trail?
from the diagram;
m = rsinθ
m = 0.6 × -0.7568
m = -0.4541 km
Therefore, Brian is -0.4541 km above of the center of the ski trail
I need help pls and thank you
Answer:
unbounded region
A feasible region that cannot be enclosed in a closed figure is known as an unbounded region. A feasible region is a set of all possible points of an optimization problem that satisfy the problem's constraints; feasible sets may be bounded or unbounded.
Step-by-step explanation:
Find the perimeter of each figure select the figure that have a perimeter of 20 units
Khalfan height in inches is 30 inches. What is his height in feet.
Answer:
2.5 ft
Step-by-step explanation:
there are 12 inches in a foot, so divide the number of inches by 12
30 ÷ 12 = 2.5
2.5 feet (ft)
hope this helped!
Answer:
If Khalfan is 30 inches, he is 2.5 feet
Step-by-step explanation:
1 foot is 12 inches, so to get closest to 30, you double 12 to 24, and then you add another 6 inches, which is half of 1 foot, and there you go! You're welcome!
Which of the following terms have a GCF of ? Select two options.
Answer:
hi please upload the photo so we can help :)
Answer:
A:12p^3r and D:54p^3
Step-by-step explanation:
A population analysist is using the formula Pn = 25.8(1.0219)h to predict the population for Ghana, a country in Africa. What does the number in in parenthesis tell us?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the formula :
Pn = 25.8(1.0219)^h to predict the population of Ghana ;
The equation given is in the form of an exponential function:
The general form of an exponential distribution :
y = ab^x
a = Initial value ; b = constant multiplier or growth or Decay factor
Comparing :
The number in parenthesis = 1.0219 = b
b = Decay or growth factor :
Since b > 1 ; then We have a growth factor;
b = 1 + rate
1.0219 = 1 + rate
Rate = 1.0219 - 1
Rate = 0.0219
Hence, the population is growing at a rate of about (0.0219)*100% = 2.19%
Which ordered pairs are solutions to the equation x+6y=4?
Answer:
(10 , -1)
Step-by-step explanation:
(10)+6(-1)=4
10-6=4
What index of y make value 1/y^2
Answer:
(-2) is the index of y make value 1/y².
Step-by-step explanation:
We need to find what index of y makes value 1/y².
Here, the numerator is 1 and the denominator is y².
We know that,
[tex]\dfrac{1}{a^x}=a^{-x}[/tex]
So, the given expression is :
[tex]\dfrac{1}{y^2}=y^{-2}[/tex]
Hence, (-2) is the index of y make value 1/y².
A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and the yield, y, each plant produces. When she plants 30 stalks, each plant yields 31 oz of beans. When she plants 36 stalks, each plant produces 29 oz of beans. Find a linear relationship in the form y=mn+b that gives the yield when n stalks are planted.
Answer:
[tex]y = -\frac{1}{3}m + 41[/tex]
Step-by-step explanation:
Linear equation:
A linear function has the following format:
[tex]y = mn + b[/tex]
In which m is the slope and b is the y-intercept.
When she plants 30 stalks, each plant yields 31 oz of beans. When she plants 36 stalks, each plant produces 29 oz of beans.
This means that these two points belong to the line: (30,31), (36,29).
Finding the slope:
When we have two points, the slope is given by the change in the output divided by the change in the input.
Change in the output: 29 - 31 = -2
Change in the input: 36 - 30 = 6
Slope:
[tex]m = \frac{-2}{6} = -\frac{1}{3}[/tex]
Thus
[tex]y = -\frac{1}{3}m + b[/tex]
Finding b:
We take one of the points and replace on the equation.
(30,31) means that [tex]m = 30, y = 31[/tex]. Thus
[tex]y = -\frac{1}{3}m + b[/tex]
[tex]31 = -\frac{1}{3}(30) + b[/tex]
[tex]31 = -10 + b[/tex]
[tex]b = 41[/tex]
Thus
[tex]y = -\frac{1}{3}m + 41[/tex]
8b - 5a + 4 for a = -4 and b = 7
If anyone gets this tysm
Answer:
80Step-by-step explanation:
Given Question,
8b - 5a + 4
Given Values:
a = -4 and b = 7
Solution,
8(7) - 5(-4) + 4
= 56 + 20 + 4
= 80 (Ans)
Answer:
80
Step-by-step explanation:
8b - 5a + 4
a = - 4
b = 7
8(7) - 5(- 4) + 4
56 - (- 20) + 4
56 + 20 + 4
60 + 20
80
Use first principal to determine the equation of tangent to f(x)= 3x^2-6 Answer please
Answer:
final answer:
y-1= 3x_6
To solve our given problem, we must find the equation of the tangent line of the function f(x)=(x−1)3, at x=2.
.
.