Answer:
The 98% confidence interval of the proportion = (0.312, 0.374)
Step-by-step explanation:
(Give answers accurate to 3 decimal places.)
The formula for Confidence Interval of Proportion is given as:
p ± z × √p(1 - p)/n
Where p = Proportion = x/n
x = 440
n = 1282
p = 440/1282 = 0.34321372854
Approximately = 0.343
z = z-score of 98 % confidence interval
= 2.326
Confidence Interval =
= 0.343 ± 2.326 × √0.343(1 - 0.343)/1282
= 0.343 ± 2.326 × √0.225351/1282
= 0.343 ± 2.326 × √0.00017578081
= 0.343 ± 2.326 × 0.01325823555
= 0.343 ± 0.03083865589
0.343 - 0.03083865589
= 0.31216134411
Approximately = 0.312
0.343 + 0.03083865589
= 0.37383865589
Approximately to = 0.374
Therefore, the 98% confidence interval of the proportion = (0.312, 0.374)
hello I need help on it pls
Answer:
19.5
Step-by-step explanation:
Monica bowled 3 games. Her scores were 175, 142, and 133. What was her mean, or average, score?
Answer:
monicas mean score is 150
Step-by-step explanation:
beacause 3 games divide 142 and 175 133 d
what is 3,108 rounded to the nearest thousand
Answer:
3100
Step-by-step explanation:
Answer:
3,000
Step-by-step explanation:
If the question was about 3,500 it would be rounded to 4,000
If the question was about 2,499 it would be rounded to 2,000
If it is in between 3,449 and 2,500 then it would be rounded to 3,000 which 3,108 is
I really need help. currently failing math
Answer:
3/10=0.3
Step-by-step explanation:
231km 118m - 485km 829m in the smallest unit
Answer:
Uhhhhhh
Step-by-step explanation:
ABUNDA LA CACA BDHDHENSNGAGVD
Answer:
hard
Step-by-step explanation:
77% Complete
Please enter a number in response to the following question.
A new factory is growing fast and hiring a lot of new workers. Every week, the total number of workers doubles in size. If it takes 12 weeks for the factory to be at full capacity, how many weeks would it take for the factory to be at half capacity?
Answer:
We know that the number of workers doubles every week.
This implies that the number of workers of the previous week is exactly half of the current one's.
So, it took 11 weeks for the factory to be at half capacity.
Cell phone provider A offers a plan that costs 8e per month
Answer:
then can I buy one?
Step-by-step explanation:
Answer:
8e=8*e= 21.7462546277
its per mounth so we divide by 30 or 31 if it is 21.7462546277/30= 0.7248751543
if it is 21.7462546277/31 = 0.7014920848
find the value of x. PLEASE HELP!!!!!
I need to show my work.
Answer:
x-60
Step-by-step explanation:
Well the expressions lie on a straight line so I know that both of the added together will equal 180.
So the equation looks like this-(x-1+2x+1=180)
So when I substitute 60 in the equation it looks like this-(60-1+2(60)+1=180)
To solve-60-1+120+1::59+120+1::60+120
180
compare the price per dozen eggs at the local grocery store and at the supermarket Edward bought 8 dozen eggs in the supermarket how much did he save by buying eggs at the supermarket instead of the local store
Answer:
8
Step-by-step explanation:
i'm a 12 year old girl and i get it so you have to think about the local store would be half witch would be 4 so the answer is 8Samir was standing facing East. He turned to his right and
walked 5 metres, again turned to his right and walked 7 metres.
Then he turned to his left and walked 4 metres. Which direction
is he facing now?
Answer: he’s facing south now
Step-by-step explanation: started in east then turned south then west then back to south
Answer:
He is now facing to the south, this is because,
He is currently facing east, and right of east = south
Then one more right turn would give, right of south = west
Next, he turns left of west = south
So, he is now facing to the south direction
Thanks!
. Lightning Strikes It has been said that the probability of being struck by lightning is about 1 in 750,000, but under what circumstances? Below are listed the numbers of deaths from lightning since 1996. Golf/ball field Boating/ in water Outside/camping Construction Under a tree Phone Other 1996–2000 16 23 117 9 40 0 30 2001–2005 17 16 112 3 35 0 23 2006–2010 15 17 91 0 42 1 16 Choose one fatality at random and find each probability. a. Given that the death was after 2000, what is the probability that it occurred under a tree? b. Find the probability that the death was from camping or being outside and was before 2001. c. Find the probability that the death was from camping or being outside given that it was before 2001
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
[tex]P(U |D ) = 0.198 [/tex]
b
[tex]P(O\ n \ B) = 0.188[/tex]
c
[tex]P(O | B) = 0.498 [/tex]
Step-by-step explanation:
The total number of deaths is mathematically represented as
[tex]T = 16 + 23 + \cdots + 16[/tex]
[tex]T =623 [/tex]
The total number of deaths in 1996 - 2000 is mathematically represented as
[tex]T_a = 16 + 23+ \cdots + 30[/tex]
[tex]T_a = 235 [/tex]
The total number of deaths in 2001 - 2005 is mathematically represented as
[tex]T_b = 17 + 16 + \cdots + 23[/tex]
[tex]T_b = 206 [/tex]
The total number of deaths in 2006 - 2010 is mathematically represented as
[tex]T_c = 15 + 17 + \cdots + 16[/tex]
[tex]T_d = 182 [/tex]
Generally the the probability that it would occur under the tree given that the death was after 2000 is mathematically represented as
[tex]P(U |D ) = \frac{P(A \ n\ U )}{P(A)}[/tex]
Here [tex]P(A \ n\ U )[/tex] represents the probability that it was after 2000 and it was under the tree and this is mathematically represented as
[tex]P(A \ n\ U ) = \frac{Z}{ T} [/tex]
Here Z is the total number of death under the tree after 2000 and it is mathematically represented as
[tex]Z = 35 + 42[/tex]
=> [tex]Z = 77 [/tex]
=> [tex]P(A \ n\ U ) = \frac{77}{ 623} [/tex]
=>
Also
[tex]P(A)[/tex] is the probability of the death occurring after 2000 and this is mathematically represented as
[tex]P(A) = \frac{T_b + T_c}{ T}[/tex]
=> [tex]P(A) = \frac{ 206+ 182}{623}[/tex]
=>
So
[tex]P(U |D ) = \frac{\frac{77}{ 623} }{ \frac{ 206+ 182}{623}}[/tex]
=> [tex]P(U |D ) = 0.198 [/tex]
Generally the probability that the death was from camping or being outside and was before 2001 is mathematically represented as
[tex]P(O | B) = \frac{T_z}{ T}[/tex]
Here [tex]T_z[/tex] is the total number of death outside / camping before 2001 and the value is 117
So
[tex]P(O \ n \ B) = \frac{117}{623}[/tex]
=> [tex]P(O\ n \ B) = 0.188[/tex]
Generally the probability that the death was from camping or being outside given that it was before 2001 is mathematically represented as
[tex]P(O | B) = \frac{ P( O \ n \ B)}{ P(B)}[/tex]
Here [tex]P(B)[/tex] is the probability that it was before 2001 , this is mathematically represented as
[tex]P(B ) = \frac{T_a}{T}[/tex]
=> [tex]P(B ) = \frac{235}{623}[/tex]
So
[tex]P(O | B) = \frac{ \frac{117}{623}}{ \frac{235}{623}}[/tex]
=> [tex]P(O | B) = 0.498 [/tex]
Use the given domain to find the range of the function: f(x)=−x3+x2+5, D={−2, −1, 2}
Answer:
The range of the function is [tex]R=\{17, 5, 1\}[/tex].
Step-by-step explanation:
Let [tex]f(x) = -x^{3}+x^{2}+5[/tex]. From Function Theory we must remember that the range of function corresponds to the set of images associated to each elemenf from domain. In this case, the function has a domain composed of three elements and we need to find the image of each element:
x = -2
[tex]f(-2) = -(-2)^{3}+(-2)^{2}+5[/tex]
[tex]f(-2) = 8+4+5[/tex]
[tex]f(-2) = 17[/tex]
x = -1
[tex]f(-1) = -(-1)^{3}+(-1)^{2}+5[/tex]
[tex]f(-1) = 1-1+5[/tex]
[tex]f(-1) = 5[/tex]
x = 2
[tex]f(2) = -(2)^{3}+(2)^{2}+5[/tex]
[tex]f(2) = -8+4+5[/tex]
[tex]f(2) = 1[/tex]
The range of the function is [tex]R=\{17, 5, 1\}[/tex].
if you subtract 19 from my number and multiply the difference by -2, the result is -8
Answer:cool
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
let the number be 'a'
-2(a - 19)= -8
open the brackets
-2a + 38 = -8
collect like terms
38 + 8 = 2a
46 = 2a
a = 23
Solve 6x+89(9)^2
3(2x+2403)
3(2x+234)
6x+7209
which one would it be
Answer:
It would be the last one 6x+7209
Step-by-step explanation:
because it will be simplify not factor by
Answer: The answer would be c
6x+7209
Step-by-step explanation:
since it would be like Isale said symplified and not factor by. In fact the deal of this question is that simplifying and factoring expressions are opposite processes so How do you know when to simplify? Well, you will removing the pair of the parentheses.
Two people start walking at the same time in the same direction. One person walks at 8 mph and the other
person walks at 3 mph. In how many hours will they be 1.25 miles apart?
Answer:
0.25hoursStep-by-step explanation:
Data
speed v1=8mph
speed v2=3mph
distance= 1.25
time t=?
speed= distance/time
distance=speed*time
1.25=8*t-3*t
1.25=8t-3t
1.25=5t
t=1.25/5
t=0.25hours
In minutes it is 15min
A train travelled 275 km in 2.5 hours how fast will the train go in an hour?
!!!!!!!!!
Answer: 110 mph
Step-by-step explanation: 275 / 2.5 = 110 mph
What is the best estimate of 49.13 + 0.58?
A: 80
B: 40
C: 25
D: 50
Answer:
D.50
Step-by-step explanation:
its the closes whole number to 49.13
The number of undergraduates at Johns Hopkins University is approximately 2000, while the number at Ohio State University is approximately 40,000. A simple random sample of 50 undergraduates at Johns Hopkins University will be obtained to estimate the proportion of all Johns Hopkins students who feel that drinking is a problem among college students. A simple random sample of 50 undergraduates at Ohio State University will be obtained to estimate the proportion of all Ohio State students who feel that drinking is a problem among college students. What can we conclude about the sampling variability in the sample proportion, p with hat on top, calculated from the sample at Johns Hopkins as compared to that in the sample proportion from Ohio State
Answer:
The answer is "Option C"
Step-by-step explanation:
please find the complete question in the attached file:
Its ratio of samples by Johns Hopkins will be about the equivalent than those from Ohio State because sample varying depending on the sample, each of them would have the same variability also like the amount, that's why he assumes the variance of sample sizing in the sample percentage p with both the hat above, relative to the confidence interval in Ohio State determined from its Johns Hopkins test.
Equivalent Expressions
Warm-Up
Active
Evaluating an Expression
Complete the statements.
Evaluate (15 - 4x) + 5 when x = 3.
Substitute the given value for the
Evaluate within
parentheses.
to simplify.
Use the
inside the
Evaluate exponents.
First, complete the
parentheses.
Next, complete the
parentheses.
Last, complete the addition.
inside the
Multiply and divide
from left to right.
The value is
Add and subtract
from left to right.
Answer:
Complete the statements.
Substitute the given value for the
✔ variable
.
Use the
✔ order of operations
to simplify.
First, complete the
✔ multiplication
inside the parentheses.
Next, complete the
✔ subtraction
inside the parentheses.
Last, complete the addition.
The value is
✔ 8
.
Step-by-step explanation:
Plz give me brainlest
Answer:
Variable, order of operations, multiplication, subtraction, 8.
Step-by-step explanation:
Got it right Edge2021
Round 24,837,618 to the ten thousands place. I’m on math college so I need help on this problem!
Answer:
24,840,000
Step-by-step explanation:
Round up of numbers includes rounding them up to a given place value.
We are asked to round 24,837,618 to the ten thousands place.
The ten thousands place is the place where the number 3 in the number is located.
The number after 3 = 7 is a number above 5. Hence, we add 1 to 3, making it 4
Therefore, 24,837,618 to the ten thousands place is 24,840,000
The table shows the unit prices (per pound) of tomatoes
at different stores.
Store
Tomato Unit Prices
Jamal needs to buy 3.25 lb of tomatoes. If Jamal only
has $10, from which store(s) could he purchase his
tomatoes? Check all that apply.
Store A
Store B
Store C
Store D
Store E
A
$3.10 per pound
B
$3.02 per pound
с
$2.97 per pound
D
$3.07 per pound
E
$3.09 per pound
Answer:
store B, C, and D
Step-by-step explanation:
Select two ratios that are equivalent to 27:927:927, colon, 9. Choose 2 answers: Choose 2 answers: (Choice A) A 3:13:13, colon, 1 (Choice B) B 9:39:39, colon, 3 (Choice C) C 6:36:36, colon, 3 (Choice D) D 9:69:69, colon, 6 (Choice E) E 12:312:3
Answer:
A. [tex]Ratio = 3:1[/tex]
B. [tex]Ratio= 9:3[/tex]
Step-by-step explanation:
Given
[tex]Ratio= 27:9[/tex]
Required
Determine equivalent ratios:
[tex]Ratio= 27:9[/tex]
First, we simplify the ratio to the least possible
[tex]Ratio = 27/9:9/9[/tex]
[tex]Ratio = 3:1[/tex]
By comparison with the given options, we have A and B as answer.
See Proof Below
Proof: A
Compare this to the simplified ratio (given), we have:
[tex]Ratio = 3:1[/tex] = [tex]Ratio = 3:1[/tex]
Proof B
[tex]Ratio= 9:3[/tex]
Simplify the ratio to the least possible
[tex]Ratio= 9/3:3/3[/tex]
[tex]Ratio= 3:1[/tex]
Compare this to the simplified ratio (given), we have:
[tex]Ratio = 3:1[/tex] = [tex]Ratio = 3:1[/tex]
Answer:
9:3 and 3:1
Step-by-step explanation:
I just did this lesson
.
Gina has been offered a job as a dog walker. The job pays $10 each week plus $5 per dog walked. Gina’s goal is to earn $75 each week. What is the number of dogs Gina must walk in order to reach her weekly goal?
Answer:
13
Step-by-step explanation:
Evaluate the expression when y=-2.
y2 +6y-4
Answer:-12
Step-by-step explanation:
What is the answer for number 6
Answer:
x=6
Step-by-step explanation:
x−7=13
Step 1: Add 7 to both sides.
x−7+7=13+7
x=20
Answer:
x=20
How do you find the whole in percent problems
Answer:
So essentially, you are trying to find what the overall whole is based off of a number that is the percent of the number. In order to do this, you must turn your percentage into a fraction over 100. You are going to then create the number that is a percentage of another number into a fraction over "x". Cross multiply the two fractions. Since there is an "x", count is as a zero. Now, create a fraction with the numerator as the number you just got from multiplying, and the denominator as the number you have to refer to as the percent of the whole. Since fraction is division, divide the two numbers and you get your answer. Sorry if this is so complex I tried to simplify it as best as I could
Step-by-step explanation:
Example: 8 is 80% of what number?
80% to 80/100
8 to 8/x
*cross multiply*
80x/80 = 800/80
800 divided by 80 is 10.
so, 8 is 80% percent of 10.
13(6x – 5) – x = 13 – 2(x + 1)
Answer:
x= 76/79
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain a variable (x).
Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not exist, enter DNE.)
Answer:
The answer is "0".
Step-by-step explanation:
Please find the correct question in the attached file.
Given value:
[tex]\to f(x) =\frac{x^2}{x^2+5}\\\\[/tex]
Formula:
[tex]\bold{\frac{d}{dx} \frac{u}{v} = \frac{ v \frac{du}{dx} - u \frac{dv}{dx}}{v^2}}[/tex]
[tex]\to f'(x) =\frac{(x^2+5) 2x -2x^3 (2x)}{(x^2+5)^2}\\\\\to f'(0) =\frac{(0^2+5)2(0) -4(0)^4}{(0^2+5)^2}\\\\\to f'(0) =\frac{(0)(5) -2(0)}{(5)^2}\\\\\to f'(0) =\frac{0 - 0}{(5)^2}\\\\\to f'(0) =\frac{0}{25}\\\\\to f'(0) = 0[/tex]
Evaluate 12x−3y when x=−14 and y=3.
Answer:
-177
Step-by-step explanation:
12(-14) -3(3)
-168-9
-177
Answer:
-177
Step-by-step explanation:
Plug in -14 for x and 3 for y:
12(-14) - 3(3)
Note that when you multiply a positive and a negative number, your answer will be negative.
Multiply:
12 * -14 = -168
-3 * 3 = -9
Combine the terms:
-168 + (-9) = -168 - 9 = -177
-177 is your answer.
~
function f(x) has a slope of 3/2 and a y-intercept of 6. explain how the graph of f(x) could be used to find the x-intercept
Answer:
x - intercept = -4
Step-by-step explanation:
We are told the function f(x) has a slope of 3/2 and a y-intercept of 6.
From general line equation, the formula is; y = mx + c
Where m is the slope and c is the intercept.
Thus, the equation is;
f(x) = (3/2)x + 6
Now,to find the x-intercept on the graph, it will be at a point where f(x) = 0.
Thus let's put 0 for f(x) to find the x-intercept.
0 = (3/2)x + 6
(3/2)x = -6
x = -6 × 2/3
x = -4
Answer:
x=(x-4)
Step-by-step explanation:
Find the x-coordinate of the point that crosses the x-axis. The x-intercept is -4