Answer:
4/12 and 3/12
the simplified version is 1/3 and 1/4
Step-by-step explanation:
In a survey of a random sample of 35 households in the Cherry Creek neighborhood of Denver, it was found that 8 households turned out the lights and pretended not to be home on Halloween. Compute a 90% confidence interval for p, the proportion of all households in Cherry Creek that pretend not to be home on Halloween. (Round your answers to four decimal places.)
Answer: (0.1118, 0.3454)
Step-by-step explanation:
Confidence interval for population proportion is given by :-
[tex]\hat{p}\pm z^c\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex] , where [tex]\hat{p}[/tex]= sample proportion , n= sample size, [tex]z^c[/tex] = critical z-value for c confidence level.
Let p = the proportion of all households in Cherry Creek that pretend not to be home on Halloween.
Given : n= 35
[tex]\hat{p}=\dfrac{8}{35}\approx0.2286[/tex]
Critical z-value for 90% confidence level =1.645
A 90% confidence interval for p, the proportion of all households in Cherry Creek that pretend not to be home on Halloween:
[tex]0.2286\pm (1.645)\sqrt{\dfrac{0.2286(1-0.2286)}{35}}\\\\=0.2286\pm 0.1168\\\\=(0.2286-0.1168,\ 0.2286+0.1168)\\\\=(0.1118,\ 0.3454)[/tex]
∴ Required confidence interval : (0.1118, 0.3454)
is it possible to build a triangle with lengths of 5 7 12
Answer:
No
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
On a test a student got 15 problems correct out of a total of 20 problems.
What percent did the student get incorrect?
HURRY
Three six-sided dice are rolled, one red, one green, one blue. How many ways are there to roll the three dice so that two of the dice have the same value and the other die has a value smaller than the common value on the other two?
Answer:
15
Step-by-step explanation:
Given that:
Three six-sided dices are to be rolled.
The number of ways to have the same value on the two dices is:
{(1,1) ,(2,2) ,(3,3) ,(4,4) , (5, 5 ) ,(6 ,6) } = 6 ways
Thus; the objective is to determine the number of ways to a get smaller value on the third dice while the two other dice have the same value.
To get started:
The number of ways for getting a value smaller than 1 = 0
The number of ways for getting a value smaller than 2 = 1
{i.e. (2,2,1)}
The number of ways for getting a value smaller than 3 = 2
{ i.e. (3,3,1) ,(3,3,2) }
The number of ways for getting a value smaller than 4 = 3
{ i.e. (4,4,1) , (4,4,2), (4,4,3)}
The number of ways for getting a value smaller than 5 = 4
{i.e. (5 ,5,1) ,(5,5,2) ,(5,5,3), (5,5,4)}
The number of ways for getting a value smaller than 6 = 5
{i.e. (6,6,1), (6,6,2), (6,6,3), (6,6,4), (6,6,5) }
Thus, the total number of ways = 0 + 1 + 2 + 3 + 4 + 5 = 15
Therefore, the total number of ways getting the value same on two dices and smaller value on the third dice = 15
How did they figure out the answer was 4 for the fraction problem solving. There are 36 people in the Newtown Hiking Club. 2/3 of the club must vote yes if the club is to hike the Northern Trail. 20 people have voted yes. How many more yes votes are needed?
Answer:
Step-by-step explanation:
Solve the equation. Type just the numeral answer. Do NOT round your solution.
n
= -1.2
-1.5
n=
Answer:
-2.7
thats the answer but i cant submit without some words lol
Answer:
n= 1.8
Step-by-step explanation:
Solve the following expression:
n/-15 = -1.2
-Multiply -1.5 on both sides:
(-1.5) n/-1.5 = -1.2(-1.5)
n=1.8
Therefore, the final answer is n = 1.8.
Solve: C - 20 = 4 - 3c
Need to solve for C
C=___
Answer:
C = 6
Step-by-step explanation:
Here are steps
C - 20 = 4 - 3C
C + 3C = 4 + 20
4C = 24
C = 6
Madeline has two different candles made by two different companies. The length in centimeters of the first candle depends on its burning time t (in hours) according to the formula f(t)= 20-1.5t. The length (in centimeters) of the second candle over time
Answer:
I needed help with this answer well, because im on it right now.
Step-by-step explanation:
I'm in algebra and I don't understand how to solve this equation or problem :(
the tax on a purchase of $20 is 1.12. how much will tax be on a purchase of $45.50
Answer:
$ 1,593.75
Step-by-step explanation:
this is the advanced sale calculation if you wan a simple one i can write that in the comments! hope this help you! :D
I BET YOU CANT SOLVE THIS
Answer:
Step-by-step explanation:
5 x ( 9 + 4 ) = ( 5 x __ ) + ( 5 x __ )
using distributive property,
the answer is
( 5 x 9 ) + ( 5 x 4 )
if u want the final answer
it becomes
45 + 20
= 65
Hope this helps
plz mark as brainliest!!!!!!!!
Place the following numbers from least to greatest.
4.14, 3.24, 3.14, 4.24
Brody deposited $500 into a savings account that earns 1% interest compounded annuall. He
makes no more deposits and no withdrawals. How much interest has Brody's account earned
after 2 years?
Answer:
he would get 10$
Step-by-step explanation:
if you divide 500 by 1 you get 5 times that by 2
How will increasing the level of confidence without changing the sample size affect the width of a confidence interval for a population mean?
Answer:
The width of the confidence interval is going to be wider
Step-by-step explanation:
When we Increase the level of confidence without changing the sample size the width of the confidence interval is going to be affected in the following way;
The margin of error (M.E) is going to be larger or be increased. This increase is due to the fact that the critical value is going to increase. Then the increased margin of error would cause the width of the confidence interval to become wider.
This answers your question.
2 1/8 and 17/8 are reciprocal numbers. True False
Answer:
False
Step-by-step explanation:
If make 2 1/8 into an improper fraction, it will be 17/8. a reciprocal is a flip of a number, so it is false.
Given the following two equations determine if they are parallel, perpendicular, or neither.
3x + 6y = 30
4y + 2x = 9
Please show work!
Answer:
Parallel
Step-by-step explanation:
What you want to do first is to put both equations into the slope intercept form: y=mx+b.
In the first equation, you move the [tex]3x[/tex] to the right side of the equal sign by subtracting on both sides:
[tex]6y = -3x + 30[/tex]
Then you want to divide both sides by 6 to isolate y:
[tex]y = -\frac{1}{2}x + 5[/tex]
Next for the second equation, you do similar steps. You subtract [tex]2x[/tex] from both sides:
[tex]4y=-2x+9[/tex]
Then you want to divide both sides by '4' to isolate y:
[tex]y= -\frac{1}{2}x+\frac{9}{4}[/tex]
Now to check if the two equations are parallel, perpendicular, or neither, you compare the slopes 'm' which is the coefficient next 'x'. If two equations have the same slope, then they are parallel. If the slopes multiplied equal -1, then they are perpendicular. If the slopes are not the same or if the product of the slopes is not -1, then it is neither.
In the case of this problem, the slopes are the same, so the equations are parallel:
[tex]-\frac{1}{2} = -\frac{1}{2}[/tex]
You are given a penny on January 1, two pennies on January 2, four pennies on January 3, and eight pennies on January 4, and so on. 1.
Assuming the pattern continues, how many pennies do you get on the following dates? January 5 January 10 January 31
Answer:
january 5 :12
january 10:22
Step-by-step explanation:
Answer:
16 pennies512 pennies1073741824 penniesStep-by-step explanation:
We can see a pattern:
Days >> Pennies1 >> 1= 2^02 >> 2= 2^13 >> 4 = 2^24 >> 8 = 2^3...n >> 2^(n-1)So
January 5 fall on n = 5, therefore 2^4 = 16 penniesJanuary 10 falls on n = 10, therefore 2^9 = 512 penniesJanuary 31 falls on n = 31, therefore 2^30 = 1073741824 penniesThere is a new truck worth $31,500 and it loses value at the rate of 2.7% per year.
1) Create an exponential model.
2) How much is the truck worth 5 years later?
3) How much is the truck worth 15 months later?
Answer:
For 2 it's 27,247 and for 3 it's 31393.86
Step-by-step explanation:
2 1/2 times (-3 3/4)
Answer:
-9.375
Step-by-step explanation:
2 1/2 x (-3 3/4) = -9.375
Answer: [tex]-9\frac{3}{8}[/tex]
Step-by-step explanation:
Someone help me with this please
Answer:
pretty sure it's B, its just really hard to see
Step-by-step explanation:
PLEASE HELP ME ITS URGENT
Just the first one
Answer:
m=-1/3
Step-by-step explanation:
Find the slope. (4,2) (7, 6.5)
Answer:
B.
Step-by-step explanation:
m=y2-y1/x2-x1
6.5-2=4.5
7-4=3
4.5/3=1.5
the slope is 1.5
hope this helps :3
if it did pls mark brainliest
If the Constant of Proportionality between X and Y is 12, which equation represents their relationship?
Answer:
y=12x 12=k k=constant of Proportionality
Step-by-step explanation:
The mean volume for a bottle of cologne is 4 ounces and the standard deviation is 0.22 ounces. A random sample of 121 bottles is taken. What is the probability of obtaining a sample mean within 0.04 ounces of the population mean?
a. 0.9545
b. 0.0363
c. 0.3085
d. 0.5000
Answer:
The standard error of the mean is 0.02
Step-by-step explanation:
Here, we want to calculate the standard error of the mean.
Mathematically;
standard error of mean = SD/ √n
where SD is the standard deviation and n is the number of samples
From the question, SD = 0.22 and n = 121
Inserting this into the equation
Standard error of the mean = 0.22/√121
= 0.22/11 = 0.02
The probability of obtaining a sample mean is "0.9545".
According to the question,
Mean,
[tex]\mu = 4[/tex]
Standard deviation,
[tex]\sigma = 0.22[/tex]
Random sample,
[tex]n = 121[/tex]
By Central limit theorem,
→ [tex]\bar {x} \sim (4, \frac{0.22}{\sqrt{121} } )[/tex]
[tex]= 0.2[/tex]
Now,
→ [tex]P(|\bar{x} - \mu| \ \alpha \ 0.04) = P(-0.04 \ \alpha \ \bar{x} - \mu \ \alpha \ 0.04)[/tex]
[tex]= P(\frac{-0.04}{0.02} \ \alpha \ z \ \alpha \ \frac{0.04}{0.02} )[/tex]
[tex]= P(-2 \ \alpha \ z \ \alpha \ 2)[/tex]
[tex]= 0.9545[/tex]
Thus the above response i.e., "option a" is appropriate.
Learn more:
https://brainly.com/question/16943601
use approximations to 1 significant figure, estimate the value of
0.482x61.2²÷√98.01
Answer:
182.353745455
Answer:180
Step-by-step explanation:
helpppp it’s my friends birthday
In the diagram below of triangle TUV, W is a midpoint of TU and X is a midpoint
of UV. IfWX = 23 – 2x, and TV = 64 – 10x, what is the measure of TV?
А.
W
T
V
Answer:
Submit Answer
Answer:
[tex] TV = 34 [/tex]
Step-by-step explanation:
WX = 23 – 2x,
TV = 64 – 10x,
First, create an equation you will use to find the value of x.
Thus:
[tex] WX = \frac{1}{2}(TV) [/tex] (midsegment theorem of a ∆)
[tex] 23 - 2x = \frac{1}{2}(64 - 10x) [/tex] (substitution)
[tex] 23 - 2x = \frac{1}{2}(64 - 10x) [/tex]
Multiply both sides by 2
[tex] (23 - 2x)*2 = \frac{1}{2}(64 - 10x)*2 [/tex]
[tex] 46 - 4x = 64 - 10x [/tex]
Collect like terms
[tex] 46 - 64= 4x - 10x [/tex]
[tex] -18= -6x [/tex]
Divide both sides by -6
[tex] 3 = x [/tex]
[tex] x = 3 [/tex]
Find TV:
[tex] TV = 64 - 10x [/tex]
Plug in the value of x
[tex] TV = 64 - 10(3) = 64 - 30 [/tex]
[tex] TV = 34 [/tex]
Answer:
the answer is 18
Step-by-step explanation: I unfortanutley got it wrong by listen to the dude that said it 34 but it's 18
something divided by -7 that gives -4 PLEASE I NEED HEEELP
Answer:
28
Step-by-step explanation:
Just do -4 multiplied by -7 which is 28
When divided it gives you -4
Answer:
just look it up
Step-by-step explanation:
Safari, Ask what u need too, and that is it
Find the variance for the given data. Round your answer to one more decimal place than the original data.
{12.4, 10.7, 14.5, 10.1, 16.5}
Answer:
5.6864
Step-by-step explanation:
Find the variance for the given data. Round your answer to one more decimal place than the original data.
{12.4, 10.7, 14.5, 10.1, 16.5}
Simplify (10x^2− 8x − 1) + (4x^2− 8x − 5).
Answer: 14[tex]x^{2}[/tex] − 16x − 6
Principal=$100 rate=5% years=3 what is the interest?
Answer:
Interest would be $15 every 3 years
Step-by-step explanation:
Interest = Principal x Rate x Time
Interest = 100 x 5% x 3
Interest = 5 x 3
Interest = 15
