Answer:
A. Wider and would have a smaller chance of missing the true mean.
Step-by-step explanation:
Margin of error for a confidence interval:
The margin of error for a confidence interval is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which z is related to the confidence level(the higher the confidence level, the higher the value of z), [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
95% confidence interval
Would be wider than the 90% confidence interval, due to the higher value of z.
Also, a x% confidence interval has a x% chance of having the true mean, and a (100-x)% probability of missing the true mean.
Then, a 95% confidence interval has a smaller(5%) chance of missing the true mean compared to the 90% confidence interval(10%). This means that the correct answer is given by option A.
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Answer: Find the volume of cone, whose radius is 8 cm and height is 5 cm. Thus, the volume of the cone is 334.93 cm3.
Answer:
251.33cm^3
Step-by-step explanation: Use the formula V= π • (d/2)^2 • H
HOPEFULLY THIS HELPS
Find the area of the rectangle
Answer:
40 mi
Step-by-step explanation:
area= width*length
Answer:
40 mi
Step-by-step explanation:
probally a jok e
[tex]A=l*w[/tex]
[tex]A = 5*8[/tex]
[tex]A=40[/tex]
Which expression is equivalent to 64y18 – 1000z6?
Answer:
8 * (2y⁶ - 5z²) ( 4y¹² +10 y⁶z² + 25z⁴)
Step-by-step explanation:
64y¹⁸ – 1000z⁶ = 8 * (8y¹⁸ - 125z⁶) = 8 * ((2y⁶)³ - (5z²)³)
= 8 * (2y⁶ - 5z²) ( 4y¹² +10 y⁶z² + 25z⁴)
find the volume of a right circular cone that has a height of 4.2 m and a base with a radius of 3.4 m. Round your answer to the nearest tenth of a cubic meter.
Answer: 50.8
Step-by-step explanation:
The volume of the given cone is 50.8 m³.
What is cone?A cone is a shape created by connecting all the points of a circular base (which does not contain the apex) to a common point known as the apex or vertex using a series of line segments or lines.
Given that,
Height = h = 4.2 m
Radius of base = r = 3.4 mm
Since we know that,
volume of cone = πr²h/3
now put the values
we get,
volume of cone = π(3.4)²(4.2)/3
= 50.8 square m
Hence,
The volume = 50.8 m³
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The following expression represents the profit made by John as he mows
lawns: P = 20L - 100
Which description correctly interprets each part of the expression?
Answer:
P is price per lawn, 20 is the money made per lawn, L is the number of lawns mowed, 100 is his initial cost.
Step-by-step explanation:
I need help
Can you help me please!!!
Answer:
Step-by-step explanation:
The triangles are similar.
x/(x+4) = 7.2/12
x/(x+4) = 0.6
x = 0.6(x+4)
0.4x + 2.4
x = 6
Write each percentage as a fraction in simplest form.
1. 50% 2. 99% 3. 15%
4. 200%
Answer:
1. 1/2
2. 99/100
3. 3/20
4. 2
what is the answer in fraction form: 2(1/3+1/4)
Answer:
7/6 or 1*1/6
Step-by-step explanation:
Answer:
the answer is in the picture
Let c be a positive number. A differential equation of the form dy/dt=ky^1+c where k is a positive constant, is called a doomsday equation because the exponent in the expression ky^1+c is larger than the exponent 1 for natural growth. An especially prolific breed of rabbits has the growth term My^1.01. If 2 such rabbits breed initially and the warren has 16 rabbits after three months, then when is doomsday?
Answer:
The doomsday is 146 days
Step-by-step explanation:
Given
[tex]\frac{dy}{dt} = ky^{1 +c}[/tex]
First, we calculate the solution that satisfies the initial solution
Multiply both sides by
[tex]\frac{dt}{y^{1+c}}[/tex]
[tex]\frac{dt}{y^{1+c}} * \frac{dy}{dt} = ky^{1 +c} * \frac{dt}{y^{1+c}}[/tex]
[tex]\frac{dy}{y^{1+c}} = k\ dt[/tex]
Take integral of both sides
[tex]\int \frac{dy}{y^{1+c}} = \int k\ dt[/tex]
[tex]\int y^{-1-c}\ dy = \int k\ dt[/tex]
[tex]\int y^{-1-c}\ dy = k\int\ dt[/tex]
Integrate
[tex]\frac{y^{-1-c+1}}{-1-c+1} = kt+C[/tex]
[tex]-\frac{y^{-c}}{c} = kt+C[/tex]
To find c; let t= 0
[tex]-\frac{y_0^{-c}}{c} = k*0+C[/tex]
[tex]-\frac{y_0^{-c}}{c} = C[/tex]
[tex]C =-\frac{y_0^{-c}}{c}[/tex]
Substitute [tex]C =-\frac{y_0^{-c}}{c}[/tex] in [tex]-\frac{y^{-c}}{c} = kt+C[/tex]
[tex]-\frac{y^{-c}}{c} = kt-\frac{y_0^{-c}}{c}[/tex]
Multiply through by -c
[tex]y^{-c} = -ckt+y_0^{-c}[/tex]
Take exponents of [tex]-c^{-1[/tex]
[tex]y^{-c*-c^{-1}} = [-ckt+y_0^{-c}]^{-c^{-1}[/tex]
[tex]y = [-ckt+y_0^{-c}]^{-c^{-1}[/tex]
[tex]y = [-ckt+y_0^{-c}]^{-\frac{1}{c}}[/tex]
i.e.
[tex]y(t) = [-ckt+y_0^{-c}]^{-\frac{1}{c}}[/tex]
Next:
[tex]t= 3[/tex] i.e. 3 months
[tex]y_0 = 2[/tex] --- initial number of breeds
So, we have:
[tex]y(3) = [-ck * 3+2^{-c}]^{-\frac{1}{c}}[/tex]
-----------------------------------------------------------------------------
We have the growth term to be: [tex]ky^{1.01}[/tex]
This implies that:
[tex]ky^{1.01} = ky^{1+c}[/tex]
By comparison:
[tex]1.01 = 1 + c[/tex]
[tex]c = 1.01 - 1 = 0.01[/tex]
[tex]y(3) = 16[/tex] --- 16 rabbits after 3 months:
-----------------------------------------------------------------------------
[tex]y(3) = [-ck * 3+2^{-c}]^{-\frac{1}{c}}[/tex]
[tex]16 = [-0.01 * 3 * k + 2^{-0.01}]^{\frac{-1}{0.01}}[/tex]
[tex]16 = [-0.03 * k + 2^{-0.01}]^{-100}[/tex]
[tex]16 = [-0.03 k + 0.9931]^{-100}[/tex]
Take -1/100th root of both sides
[tex]16^{-1/100} = -0.03k + 0.9931[/tex]
[tex]0.9727 = -0.03k + 0.9931[/tex]
[tex]0.03k= - 0.9727 + 0.9931[/tex]
[tex]0.03k= 0.0204[/tex]
[tex]k= \frac{0.0204}{0.03}[/tex]
[tex]k= 0.68[/tex]
Recall that:
[tex]-\frac{y^{-c}}{c} = kt+C[/tex]
This implies that:
[tex]\frac{y_0^{-c}}{c} = kT[/tex]
Make T the subject
[tex]T = \frac{y_0^{-c}}{kc}[/tex]
Substitute: [tex]k= 0.68[/tex], [tex]c = 0.01[/tex] and [tex]y_0 = 2[/tex]
[tex]T = \frac{2^{-0.01}}{0.68 * 0.01}[/tex]
[tex]T = \frac{2^{-0.01}}{0.0068}[/tex]
[tex]T = \frac{0.9931}{0.0068}[/tex]
[tex]T = 146.04[/tex]
The doomsday is 146 days
Find the area of a room that is 8-feet-wide and 9-feet-long.
Step-by-step explanation:
Area = l × b
= 9ft × 8ft
= 72ft²
Answer:
72 feet
Step-by-step explanation:
8 (length) • 9 (width) = 72 sq ft
Helps please is for nooooowwwww
Answer:
The correct answer is the tor mar nada tor buda tor buni ami chai
Last one I need help in will give BRAINLY (don’t send me links)
Answer:
x=11
Step-by-step explanation:
4x+11=5x (angle adb and edf are the same)
11=5x-4x
11=x
x=11
if you want you can check by doing...
(14*11-29)+(5*11)=180
I only need an equation for this. Plz help me
what is the value of x?
Answer:
x=37
Step-by-step explanation:
As you can see in the image, both angles are congruent to each other. 74 degrees and 2x degrees. You have to divide 74 by 2 to find what x equals.
74/2=37
x=37
In one town, there are 240 boys and 260 girls who play
1
sports. Of these, play soccer. How many children
play soccer in all?
Answer: 500 children play soccer
Step-by-step explanation:
Take the numbers you are given
240 boys
260 girls
now add them together
240 + 260 = 500
Answer:
500
Step-by-step explanation:
There is 240 boys and 260 girls
they all play the same sport
so add does numbers you get 500.
What does ''a over 3'' or a/3 mean?
Step-by-step explanation:
It means "a divided by 3". You need to divide a by 3. You can also write it as "1/3a".
Answer:
the answer is above me or below me
HELP ME PLSSSSSSSSSSS IF I FAIL I M Screwed
Answer:
41
Step-by-step explanation:
Simplify 3y + 6y + 8
Answer:
Use photo math it will help you.
Answer:
9y+8
Step-by-step explanation:
I hope this helps! You add 3y+6y which is 9 and then you add 8, so the answer is 9y+8
How many solutions does the system of linear equations represented in the graph below have?
No Solution
One Solution
Infinitely many solution
None of the above
Answer:
No solutions
Step-by-step explanation:
There are no solutions because the two lines have the same gradient (they are parallel)
Have a great day <3 and pls love me
5+10+15+20 in stigma notation
You mean Sigma notation not stigma ^^
Answer:
Look the attachment
The members of the city cultural center have decided to put on a play once a night for a week. Their auditorium holds people. By selling tickets, the members would like to raise $ every night to cover all expenses. Let d represent the number of adult tickets sold at $. Let s represent the number of student tickets sold at $ each. If all seats are filled for a performance, how many of each type of ticket must have been sold for the members to raise exactly $? At one performance there were times as many student tickets sold as adult tickets. If there were tickets sold at that performance, how much below the goal of $ did ticket sales fall?
Answer:
a) At $3,300 for 600 seats, the average price per seat is 3300/600 = $5.50. The mix of tickets that results in that average can be found using an X diagram as shown below. The numbers on the right are the differences along the diagonals. When they are multiplied by 2, they add to 600. This shows that the required sales for revenue of $3,300 are
200 adult tickets
400 student tickets
b) When 3 student tickets are sold for each adult ticket, the average seat price is
(3*$4.50 +7.50)/4 = $5.25
Then the shortfall in revenue is ...
$3,300 -480*$5.25 = $780
A BAKER USES 2/3 CUP OF RYE FLOUR IN EACH LOAF OF BREAD. HOW MANY CUPS OF RYE FLOUR WILL THE BAKER USE IN 9 LOAVES?
Answer:
6
Step-by-step explanation:
2/3 times 9 = 6
(Also: The Caps really attracted me)
help ill give extra poihts
Answer:
19 / (19+19+13) = 0.37254901... = ~ 37%
Step-by-step explanation:
19 is self-explanatory
(19+19+13) = 52
19 / 52 = 0.37254901...
0.37254901... = ~37%
brainliest plz
Select all the expressions that represent the large rectangle's total area can't find the answer please help
What is the area of an equilateral triangle that has the base 12 cm,
and height of 10 cm? *
A 72.4 square centimeters
B 120 square centimeters
C 62.4 square centimeters
D 60 square centimeters
Answer:
C 62.4square centimetres
PLZ ANSWER I REALLY NEED IT
A student is asked to simplify the given expression. The student's response demonstrates which common misconception?
Simplify: x^4/ x^4 Student's response: 0
A) add exponents when dividing B) dividing by zero is undefined C) subtract exponents when dividing D) a number raised to the zero power is equal to 0
Determine the slope, if it exists, of the graph of the linear equation y=3.1x-3
A box contains 17 transistors, 5 of which are defective. If are selected at random, find the probability of the statements below.
Answer:
27% chance that the transistor is defective
5:17
Step-by-step explanation:
The probability that the picked up transistor is defective is 5/17
What is a expression? What is a mathematical equation? What is Probability?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The formula to calculate the probability of occurrence of an event 'A' can be written as -
P(A) = n(A)/n(S)
where -
n(A) = Number of outcomes favorable to event A.
n(S) = Total number of outcomes
Given is that a box contains 17 transistors, 5 of which are defective.
Probability that the picked up transistor is defective is -
P(D) = 5/17
Therefore, the probability that the picked up transistor is defective is 5/17
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1 point
2) What should come in the place of question mark (?) in the following
letter series based on the English alphabetical order CF HK MP RU? *
O WZ
OEF
GH
OHJ
Answer:
A) WZ
Step-by-step explanation:
B,C, and D, come before RU
please help me i only have 30 mins to an hour to finish
Answer:
D. 105 students
Step-by-step explantation: 11+10+21+6+2=50. So, 21 times 250 is 5250 and divided by 50 is 105.