Answer:
interval is; ( 0.3881 to 0.6119 )
Option d) 0.3881 to 0.6119 is the correct answer
Step-by-step explanation:
Given the data in the question;
n = 54
x = 27
p" = x/n = 27/54 = 0.5
90% confidence interval estimate for the proportion of undergraduates who plan to attend graduate school will be;
P" ± [tex]2_{\alpha/2}[/tex] × √(p"(1-P')/n)
we substitute
0.5 ± [tex]2_{0.05}[/tex] × √(0.5(1-0.5)/54)
0.5 ± 1.644859 × 0.06804
so
Upper Limit = 0.5 + 1.644859 × 0.06804 = 0.6119
Lower Limit = 0.5 - 1.644859 × 0.06804 = 0.3881
Therefore interval is; ( 0.3881 to 0.6119 )
Option d) 0.3881 to 0.6119 is the correct answer
A two sample t test for a difference in means was conducted to investigate whether the average time to swim a lap with the freestyle stroke is different from the average time to swim a lap with the butterfly stroke based on the P value in a significance level of 0.05 which of the following is a correct conclusion
Answer: There is convincing statistical evidence that the average time to swim a lap with the freestyle stroke is different from the average time to swim a lap with the butterfly stroke.
Step-by-step explanation:
Find the equation of the line through point (−5,5) and perpendicular to y=5/9x−4. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 1/2).
Answer:
[tex]y = -9/5x-4[/tex]
Step-by-step explanation:
Given
Passes through [tex](-5,5)[/tex]
Perpendicular to [tex]y = 5/9x - 4[/tex]
Required
The line equation
First, we calculate its slope (m)
In [tex]y = 5/9x - 4[/tex], the slope is:
[tex]m =5/9[/tex]
This is so because, the gradient intercept is:
[tex]y = mx + b[/tex]
By comparison, you have: [tex]m =5/9[/tex]
Since the required line and [tex]y = 5/9x - 4[/tex] are perpendicular, then the slope (m2) is:
[tex]m_2 = -1/m[/tex]
[tex]m_2 = -1/(5/9)[/tex]
[tex]m_2 = -9/5[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = -9/5(x - (-5)) + 5[/tex]
[tex]y = -9/5(x +5) + 5[/tex]
[tex]y = -9/5x-9 + 5[/tex]
[tex]y = -9/5x-4[/tex]
Erica And Amy started biking in opposite directions at the same time from the same place. Erica biked at a speed of 6 meters per second and Amy biked at a speed of 4 meters per second. How soon were they exactly one km apart?
Answer:
100 seconds
i hope this helps
Write the equation of the line, in slope-intercept form, passing through the points (-2,5) and (3,6)
Answer:
y= 3/7x + 5 6/7
Step-by-step explanation:
6-3/5--2 = 3/7
y=3/7x+b
6=1/7+b
b=5 6/7
Identify the graph and describe the solution set of this system
of inequalities.
y<-3x-2
y> -3x+ 8
Answer:
We have the system:
y < -3*x - 2
y > -3*x + 8
The solution set of this system will be the intersection between the solution sets of both inequalities.
First, to find each set of solutions, we need to find the line:
y = -3*x - 2
Because we have the symbol <, the solution set will be all the points below this line, and the line will be a dashed line (meaning that the points on the line are not solutions).
For the other line we have the same approach.
First we need to find the line:
y = -3*x + 8
Now because we used the symbol >, we need to shade the region above the line, and again the line must be a shaded line.
The graph of this system can be seen below.
Where we can see that there is no intersection of the two solution sets, meaning that the system of inequalities has no solutions.
I really need some heeeeeeeeeeeeeeeeeeeeeeelp 50 points
based on the smallest dragonboy
are we suppose to make a story or something
Answer:
This question makes 0 sense! how do i even answer?
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answer:
No its not
Step-by-step explanation:
The table shows the running speeds of 10 randomly
selected roadrunners.
Speed (miles per hour)
| 12 | 13 | 14 | 18 | 14 | 13 | 14 | 17 | 12 | 13
Based on the data, select the most reasonable prediction about the speed of
roadrunners
A. The typical roadrunner runs at a speed of about 14 miles per hour.
B. The typical roadrunner runs at speeds greater than 17 miles per
hour
C. The typical roadrunner runs at a speed of about 10 miles per hour.
D. The top speed of a roadrunner is 17 miles per hour.
Answer:
the answer is A
Step-by-step explanation:
Answer:
Correct answer is A
Step-by-step explanation:
If you are starting with what you know about a large population and coming to a conclusion about a specific scenario, then which type of reasoning are you using?
Answer:
In this lesson we learned that inductive reasoning takes information known about a specific scenario and applies it to a large population, while deductive reasoning takes information known about a population and applies it to a specific scenario.
Deductive reasoning
To answer this question, we must understand the clear distinction that exists between inductive and deductive reasoning.
Inductive reasoning is the process of reasoning that involves making specific observations and drawing a general conclusion from those observations
That is, the observations are narrower than the conclusion.
Deductive reasoning is the process of reasoning that applies the observations made from a general population to a specific case. That is, making specific conclusions from general observations
Therefore, the illustration given in this exercise is an example of a deductive reasoning.
Learn more here: https://brainly.com/question/4163182
A bakery used 35% more butter this month than last month. If the bakery used 240 kilograms of butter last
month, how much did it use this month?
You must show your work for full credit. Remember to include units.
Answer:
25%
Step-by-step explanation:
the bakery used 25% of butter.
Answer:
240 X 35% = 84
240 + 84 = 324
Step-by-step explanation:
What is the slope of line help please pleaseeee
Answer:
3/2
Step-by-step explanation:
Slope = rise / run
Rise: 3
Run: 2
Slope = 3/2
Answer:
Awnser: the slope is y=-3/1
The age of a father is two less than seven times the age of his son in two years the sum of their ages will be 57 if the son's present ages S years which equation models the situation
Answer:
[tex]f = 7s -2[/tex]
[tex]f + s =53[/tex]
Step-by-step explanation:
Given
Let
f = Father's age
s = Son's age
We'll solve this question, while reading through the instructions
From the first statement;
f is 2 less than 7 times s.
This means
[tex]f = 7s -2[/tex]
In two years time, the father will be f +2 and the son will be s + 2
So, their sum is:
[tex](f+2) + (s + 2) = 57[/tex]
[tex]f + 2 + s + 2 =57[/tex]
Collect like terns
[tex]f + s =57-2-2[/tex]
[tex]f + s =53[/tex]
So, the equations are:
[tex]f = 7s -2[/tex]
[tex]f + s =53[/tex]
I WILL MARK BRAINLIEST!! What is the value of x in this triangle?
Answer:
x = 2
Step-by-step explanation:
=============================================================
Explanation:
The tickmarks tell us which sides are the same length. This in turn tells us that points N and O are midpoints of LJ and LK respectively (since midpoints cut a segment in half). We consider segment NO to be a midsegment.
Recall that midsegments are half as long as the side they are parallel to. That means segment NO is half as long as JK. This reverses to segment JK being twice as long as segment NO.
-------------
JK = 2*(NO)
2x+8 = 2*(12)
2x+8 = 24
2x+8-8 = 24-8 .... subtract 8 from both sides
2x = 16
2x/2 = 16/2 ...... divide both sides by 2
x = 8
If x = 8, then 2x+8 = 2*8+8 = 16+8 = 24. This shows that segment JK is 24 units long which is double that of midsegment NO being 12 units long. This confirms we have the correct x value.
what is the distance between 9 and -7
Answer:
16
Step-by-step explanation:
just turn them all positive and add
7x + 2x^2 + 3x^2 - 2x
Answer:
5^2+5
Step-by-step explanation:
There you go :)
Which point represents the reflection across the x-axis of the ordered pair (4,−5)?
Answer:
(4,5) is the answer
Step-by-step explanation:
Which investment would make you the most interest? Explain.
A: $450 at 7% for 10 years
B: $1,300 at 5% for 6 years
Answer:
i think it would be A
Step-by-step explanation:
a gift box has the shape of a cube. the length of each side is 10.5 cm. what is the volume of the gift box?
Answer:
Volume = 1,157.625cm^3
Step-by-step explanation:
A cube means all sides (length, width, and height) are the same measurement. Since we are given one measurement (length = 10.5cm), all sides will be the same measurement.
Formula for volume:
Volume = length × width × height
v = l × w × h
v = 10.5cm × 10.5cm × 10.5cm
v = 110.25cm^2 × 10.5cm
v = 1,157.625cm^3
The unit will always be to the third power because the formula calls for multiplying the same unit (in this case, cm or Centimeters) three times. cm × cm × cm = cm^3
Calculus: dy/dx= ?
(d^2y)/(dx^2)= ?
d^2y/dx^2= 0 at point (x,y)=?
ln(5y) = 4xy
Differentiate both sides with respect to x, taking y = y(x) :
d/dx [ln(5y)] = d/dx [4xy]
1/(5y) d/dx [5y] = 4y + 4x dy/dx
5/(5y) dy/dx = 4y + 4x dy/dx
1/y dy/dx = 4y + 4x dy/dx
(1/y - 4x) dy/dx = 4y
dy/dx = 4y / (1/y - 4x)
Since y = 0 is outside the domain (ln(0) is undefined), we can multiply the right side by y/y :
dy/dx = 4y ² / (1 - 4xy)
To compute the second derivative, differentiate both sides again:
d/dx [dy/dx] = d/dx [4y ² / (1 - 4xy)]
d²y/dx ² = ((1 - 4xy) d/dx [4y ²] - 4y ² d/dx [1 - 4xy]) / (1 - 4xy)²
d²y/dx ² = ((1 - 4xy) 8y dy/dx - 4y ² (0 - 4y - 4x dy/dx)) / (1 - 4xy)²
d²y/dx ² = ((8y - 32xy ²) dy/dx + 16y ³ + 16xy ² dy/dx) / (1 - 4xy)²
d²y/dx ² = ((8y - 16xy ²) dy/dx + 16y ³) / (1 - 4xy)²
Substitute the first derivative founder earlier:
d²y/dx ² = ((8y - 16xy ²) (4y ² / (1 - 4xy)) + 16y ³) / (1 - 4xy)²
d²y/dx ² = ((8y - 16xy ²) 4y ² + 16y ³ (1 - 4xy)) / (1 - 4xy)³
d²y/dx ² = (16y ³ (3 - 8xy)) / (1 - 4xy)³
The second derivative vanishes wherever the numerator vanishes (so long as 4xy ≠ 1) :
16y ³ (3 - 8xy) = 0
16y ³ = 0 or 3 - 8xy = 0
y = 0 or 8xy = 3
As pointed out earlier, y = 0 is outside this function's domain, so we're left with points on the curve
y = 3/(8x)
Substituting this into the original function gives
ln(5 (3/(8x))) = 4x (3/(8x))
ln(15 / (8x)) = 12/8
ln(15) - ln(8x) = 3/2
ln(8x) = ln(15) - 3/2
8x = exp(ln(15) - 3/2)
8x = 15 exp(-3/2)
x = 15/8 exp(-3/2) → y = 1/5 exp(3/2)
or approximately (0.4184, 0.8963).
(where exp(x) = e ˣ)
Ariana invests $2,000 at a rate of 6% annual interest
compounded quarterly. Approximately how much is Ariana's
investment worth in 3 years?
I
Step-by-step explanation:
Compounded quarterly means n=4
Fill in the blanks with a positive or negative Integer
1 ) Sally lost twenty-four quarters because she did not put the money in her piggy bank.
2 ) Sara lost thirty-three pounds after working out and dieting. ______
3 ) Jessica has 17 nickels in her bank. ______
4 ) The stock market dropped 33 points after the bad economic news yesterday. ______
5 ) Dan had seventeen baseball cards in his collection. ______
Answer:
Step-by-step explanation:
1) - 24
2) -33
3) + 17
4) -33
5) +17
Hope that helps!
With a slope of m = -2 and a point being (5,-2) what’s the Y-intercept?
Answer:
c = 8
Step-by-step explanation:
Given the following data;
Slope, m = -2
Points (x, y) = (5, -2)
To find the intercept, c;
Equation of a straight line is given by the formula: y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
Substituting the values in order to find the intercept, we have;
-2 = -2(5) + c
-2 = -10 + c
c = 10 - 2
c = 8
Therefore, the y-intercept is 8.
find the missing angle measure
Answer:
x = 93°
Step-by-step explanation:
Since, sum of the interior angles of a polygon = (n - 2) × 180°
Here, n = number of sides of the polygon
For n = 6,
Sum of interior angles of the polygon = (6 - 2) × 180°
= 720°
m∠A + m∠B + m∠C + m∠D + m∠E + m∠F = 720°
145° + 167° + 60° + 134° + 121° + x° = 720°
x + 627° = 720°
x = 720° - 627°
x = 93°
The midpoint of AB is M. If the coordinates of M are
(1/2, -2) and the coordinates of B are (6, 1), what are the coordinates of A?
9514 1404 393
Answer:
A = (-5, -5)
Step-by-step explanation:
Solving ...
M = (A +B)/2
for A, you find ...
A = 2M -B
A = 2(1/2, -2) -(6, 1) = (1-6, -4-1)
A = (-5, -5)
Of the students in the college, 60% of the students reside in the hostel and 40% of the students are day scholars. Previous year result reports that 30% of all students who stay in the hostel scored A Grade and 20% of day scholars scored A grade. At the end of the year, one student is chosen at random and found that he/she has an A grade. What is the probability that the student is a hostlier?
Answer:
the probability that the student is a hostlier is 0.6923
Step-by-step explanation:
The computation of the probability that the student is a hostlier is shown below
= (0.60 × 0.30) ÷ (0.60 × 0.30) + (0.40 × 0.20)
= (0.18) ÷ (0.18 + 0.8)
= (0.18) ÷ (0.26)
= 0.6923
Hence the probability that the student is a hostlier is 0.6923
Answer:
Step-by-step explanation:
What is the volume of a sphere with a radius of 21 units?
O A. 9261 7 units
O B. 12,348 units3
O C. 5887 units
D. 37,04477 units3
Answer: D
Step-by-step explanation:
The volume of the sphere is 12,348 cubic units.
Option B is the correct answer.
What is a sphere?It is a three-dimensional figure.
The formula for the volume of a sphere is given by V = (4/3)πr³,
We have,
The formula for the volume of a sphere is given by V = (4/3)πr³,
where r is the radius of the sphere and π is a constant approximately equal to 3.14.
Substituting the value of r = 21 units, we get:
V = (4/3)π(21)³
V = (4/3)π(9261)
V = 154(3)(7²)
V = 22,562π cubic units (using 22/7 as an approximation of π)
Rounding to the nearest whole number, the volume of the sphere is approximately 12,348 cubic units.
Thus,
The volume of the sphere is 12,348 cubic units.
Learn more about Sphere here:
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Dos campanas suenan a intervalos de 18 y 30 minutos respectivamente. ¿A qué hora
sonarán juntas otra vez si empiezan simultaneamente a las doce del medio día?
what is the answer of4 ( 2x + 3) -2x
Answer:
x= 2
Step-by-step explanation:
Divide each term in
6
x
=
12
by
6
.
6
x
6
=
12
6
Cancel the common factor of
6
.
Tap for more steps...
x
=
12
6
Divide
12
by
6
.
x
=
2
Someone know this? 50 pts
Answer:
Know what? You need to add more to your question (:
Step-by-step explanation:
Omg!? Is 96 correct??