Answer:
[tex]CI=\{-0.2941,-0.0337\}[/tex]
Step-by-step explanation:
Assuming conditions are met, the formula for a confidence interval (CI) for the difference between two population proportions is [tex]\displaystyle CI=(\hat{p}_1-\hat{p}_2)\pm z^*\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\frac{\hat{p}_2(1-\hat{p}_2)}{n_2}[/tex] where [tex]\hat{p}_1[/tex] and [tex]n_1[/tex] are the sample proportion and sample size of the first sample, and [tex]\hat{p}_2[/tex] and [tex]n_2[/tex] are the sample proportion and sample size of the second sample.
We see that [tex]\hat{p}_1=\frac{87}{249}\approx0.3494[/tex] and [tex]\hat{p}_2=\frac{58}{113}\approx0.5133[/tex]. We also know that a 98% confidence level corresponds to a critical value of [tex]z^*=2.33[/tex], so we can plug these values into the formula to get our desired confidence interval:
[tex]\displaystyle CI=(\hat{p}_1-\hat{p}_2)\pm z^*\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\frac{\hat{p}_2(1-\hat{p}_2)}{n_2}}\\\\CI=\biggr(\frac{87}{249}-\frac{58}{113}\biggr)\pm 2.33\sqrt{\frac{\frac{87}{249}(1-\frac{87}{249})}{249}+\frac{\frac{58}{113}(1-\frac{58}{113})}{113}}\\\\CI=\{-0.2941,-0.0337\}[/tex]
Hence, we are 98% confident that the true difference in the proportion of people that live in a city who identify as a democrat and the proportion of people that live in a rural area who identify as a democrat is contained within the interval {-0.2941,-0.0337}
The 98% confidence interval also suggests that it may be more likely that identified democrats in a rural area have a greater proportion than identified democrats in a city since the differences in the interval are less than 0.
helppppppppppppppppppp
i dont know if its the answer i clicked or not
Regrouping terms in the sum as
x + (-5x + 5x) + (-9x + 9x) + … + (-21x + 21x) - 25x
you can see that all the middle terms cancel and you're left with
x - 25x = -24x
10 1/9 - 9 3/4=***
***please simplify :)
thanks
[tex]\large \boxed{ \ \sf \dfrac{13}{36} \ }[/tex]
Explanation:[tex]\rightarrow \sf 10 \dfrac{1}{9} - 9\dfrac{3}{4}[/tex]
[Convert to improper Fractions]
[tex]\rightarrow \sf \dfrac{91}{9} - \dfrac{39}{4}[/tex]
[Make the denominator same]
[tex]\rightarrow \sf \dfrac{4(91)}{36} - \dfrac{9(39)}{36}[/tex]
[Multiply Integers]
[tex]\rightarrow \sf \dfrac{364}{36} - \dfrac{351}{36}[/tex]
[Join both fractions]
[tex]\rightarrow \sf \dfrac{364-351}{36}[/tex]
[Subtract Integers]
[tex]\rightarrow \sf \dfrac{13}{36}[/tex]
Answer:
13/36.
Step-by-step explanation:
First convert to improper fractions:
10 1/9 = (10*9 + 1)/9 = 91/9.
9 3/4 = (9*4 + 3)/4 = 39/4.
Next find the Lowest Common Denominator of 9 and 4.
This is 9*4 = 36.
Now convert both fractions to 36th:
For 91/9 we multiply by 4/4 and for 39/9 we multiply by 9/9
91*4 / 9*4 = 364/36 and 39*9 / 9*4 = 351/36, so we have:
364/36 - 351/36
= 13/36
There are 72 6th graders, 18 chose popularity, what is the percentage of 6th graders that chose popularity?
Find the surface area of each polyhedron. Explain your reasoning clearly.
The area of a 2D form is the amount of space within its perimeter. The surface area of each polyhedron is 82units², 48units², and 48units², respectively.
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The surface area of the polyhedrons can be written as,
I Polyhedron
SA = 2[(5×6)+(5×1)+(6×1)] = 2[(30)+(5)+(6)] = 82 units²
II Polyhedron
SA = (4×4)+4(0.5×4×4) = 16+32 = 48 units²
III Polyhedron
SA = (3×3) + 2(0.5×4×3) + (5×3) + (4×3) = 48 units²
Hence, the surface area of each polyhedron is 82units², 48units², and 48units², respectively.
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About how much did he spend on DVDs and video games combined?
x
A. $17
B. $34
C. $55
D. $68
E. $88
this the last one
Will mark brainlist to whoever answers first
(6).
Answer:
Since RT is equal to 16, we know that RU would be half that amount since SQ goes directly through the middle. Therefore RU = 16/2 would just give us 8.
Approximately how much principal would need to be placed into an account earning 3.575% interest compounded quarterly so that it has an accumulated value of $68,000 at the end of 30 years? a. $23,706 b. $23,377 c. $52,069 d. $58,944 please select the best answer from the choices provided a b c d
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$68000\\ P=\textit{original amount deposited}\\ r=rate\to 3.575\%\to \frac{3.575}{100}\dotfill &0.03575\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &30 \end{cases}[/tex]
[tex]68000=P\left(1+\frac{0.03575}{4}\right)^{4\cdot 30}\implies 68000=P(1.0089375)^{120} \\\\\\ \cfrac{68000}{1.0089375^{120}}=P\implies 23377\approx P[/tex]
Answer: Is (B) 23,377
Step-by-step explanation:
Approximately how much principal would need to be placed into an account earning 3.575% interest compounded quarterly so that it has an accumulated value of $68,000 at the end of 30 years?
a.
$23,706
b.
$23,377
c.
$52,069
d.
$58,944
Please select the best answer from the choices provided
A
( B )
C
D
[tex] \sf \pink{guide \: questions}[/tex]
1. What is the average grade of Brenda in Mathematics?
2.What happened to Brenda during the second quarter?
Nonsense=auto banned/auto reported
Correct/not Nonsense=brainliest
Answer:
See below ~
Step-by-step explanation:
1. The average grade of Brenda :
sum of grades in all quarters / 486 + 82 + 84 + 88 / 4340/4852. During the second quarter, Brenda scored her lowest grade, which was an 82.
What is P(not odd)? if u roll a 6-sided die
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
We have to find the probability of not getting odd, whole rolling a 6 sided die ~
Actually dices have 3 odd numbers (1 , 3 , 5) and 3 non - odd numbers (2 , 4 ,6)
When we roll a dice, we may get any of the six numbers, so total possible outcomes are 6
and, The number of Favorable outcomes is 3, i.e non - odd numbers.
[tex] \qquad \sf \dashrightarrow \: p(not \: odd) = \dfrac{favourable \: outcomes}{total \: \: outcomes} [/tex]
[tex] \qquad \sf \dashrightarrow \: p(not \: odd) = \dfrac{3}{6} [/tex]
[tex] \qquad \sf \dashrightarrow \: p(not \: odd) = \dfrac{1}{2} \: \: \: or \: \: \: 0.5[/tex]
Answer:
½
Step-by-step explanation:
Not odd (even) numbers from 1 - 6 = 2, 4, 6
Any of these 3 numbers can come when rolling a cubical 6 - sided dice.
Then,
P (not odd)
= Favourable outcomes / total number of outcomes
= 3/6
= ½
_____
Hope it helps ⚜
Identify the value of y and the length of each chord.
The length of the chord RT, PQ, and RS will be 5, 14, and 13. Then the correct option is C.
What is a circle?It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.
The graph is given below.
The ratio will remain constant. Then we have
y/10 = 4/8
y = 5
Then the length of PQ will be
PQ = 4 + 10
PQ = 14
Then the length of RS will be
RS = 5 + 8
RS = 13
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What is the probability of rolling a 3?
Answer:
1/6
Step-by-step explanation:
On an unbiased die, the probability of rolling a 3 would be a 1/6 since there are 6 numbers and the chosen outcome is 1/6.
Answer:
3/36 (8.333%)
Step-by-step explanation:
On a two (6 sided) dice roll probability table is
3. 3/36 (8.333%)
4 6/36 (16.667%)
5 10/36 (27.778%)
6 15/36 (41.667%)
For times t> 0 in seconds, a superhero's height above the ground in meters is given by the function
s(t) = 600 - 14.7t2. Directly below the superhero, a person is in free fall. The person's height above
the ground is given by the function P(t) = 300 - 10t - 4.912. At what time are the superhero and the
person at the same height above the ground and how high above the ground are they?
Answer:
NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by
Assuming rocket launched at t = 0 and height is measured above sea level in meters.
Step-by-step explanation:
find the x- and y- intercepts. Write ordered pairs representing the points where the line crosses the axes. 2x+3y=6
Beth filled 24 jars with paint if each jar holds 1 pint of paint how many gallons of paint did beth use
the algebraic expression that represents 2 less than 3 of n is:
A) 3 ( n - 2 ) B) 2 - 3 n C) 3 n - 2 D) 3 + n - 2 E) n
Answer:
Option A. 3(n-2)
Step-by-step explanation:
"2 less" - "subtract 2"
Then 3 of n - 3n
Hope helps -
Answer:
C) 3n - 2
Step-by-step explanation:
3 of n : 3n
2 less than : -2
Combine together :
3n - 2Gabriel models the volume of a popcorn box as a right rectangular prism and the box can hold 74 cubic inches of popcorn when it is full. its width is 3 and 1/2 in and its height is 77 in. find the length of the popcorn box in inches. round your answer to the nearest tenth if necessary.
If the volume of the popcorn box is 74 cubic inches. Then the length of the popcorn box in inches will be 0.3 inches.
What is a rectangular prism?A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.
Gabriel models the volume of a popcorn box as a right rectangular prism and the box can hold 74 cubic inches of popcorn when it is full.
Its width is 3 and 1/2 in and its height is 77 in.
Then the width of the prism will be
[tex]\rm W = 3 + \dfrac{1}{2}\\\\W = \dfrac{7}{2}[/tex]
Then the length of the popcorn box in inches will be
[tex]\rm V \ = LWH\\\\\\74= L \times \dfrac{7}{2} \times 77\\\\\\L\ = 0.2745 \approx 0.3[/tex]
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Answer: the real answer is 3 inches not 0.3.
Step-by-step explanation:
Formula: V=lwh
You are searching for its length, so if width is 3 1/2 then it will convert to 3.5
V=lwh
75=L(3.5)(7)
=3.02040816
L= 3.0
Your welcome :))
Mr. Nicholson accepts a job that pays an annual salary of $60,000. In his employment contract, he is given the option of choosing a) an annual raise of $3,500 or b) an annual raise of 5% of his current salary.
Model each of Mr. Nicholson’s salary options with a recursive sequence that includes his potential earnings for the first three years of employment.
According to the first three terms of each sequence, can you conclude that there is a significant difference in Mr. Nicholson’s potential earnings with each increase option? Use complete sentences to explain your conclusion.
Answer:
B
Step-by-step explanation:
Just read and you will see why i say that
Let $a_1, a_2, a_3,\dots$ be an arithmetic sequence. if $a_{23} = \dfrac23$ and $a_{53} = \dfrac32$, what is $a_{35}$?
Using an arithmetic sequence, it is found that the 35th value of the sequence is given by: [tex]a_{35} = 1[/tex].
What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
In which [tex]a_1[/tex] is the first term.
Considering that we have the mth term as reference, the nth term is also given as follows:
[tex]a_n = a_m + (n - m)d[/tex]
In this problem, we have that:
[tex]a_{23} = \frac{2}{3}, a_{53} = \frac{3}{2}[/tex].
Hence:
[tex]a_n = a_m + (n - m)d[/tex]
[tex]a_{53} = a_{23} + (53 - 23)d[/tex]
[tex]30d = \frac{3}{2} - \frac{2}{3}[/tex]
[tex]30d = \frac{9 - 4}{6}[/tex]
[tex]30d = \frac{5}{6}[/tex]
[tex]d = \frac{1}{36}[/tex]
Then the 35th term is:
[tex]a_{35} = a_{23} + 12d = \frac{2}{3} + 12\frac{1}{36} = \frac{2}{3} + \frac{1}{3} = 1[/tex]
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Can someone teach me how to answer this? Thanks!
Answer:
[tex]\left( fg\right) \left( x\right) =2x^3\sqrt[3]{x}\\\\\left( \frac{f}{g} \right) \left( x\right) =\frac{2x^{3}}{\sqrt[3]{x} }[/tex]
Step-by-step explanation:
Explain how to identify the restrictions on the variable when adding or
subtracting rational expressions.
Rational expressions are those that have fractional terms. We state restrictions because it may cause the equation to be undefined in some values of x. The most common restriction for rational expressions is N/0. This means any number divided by zero is undefined.
What is rational expressions and examples?A rational expression is nothing more than a fraction in which the numerator and/or the denominator are polynomials. Here are some examples of rational expressions.
To find the restrictions on a rational function, find the values of the variable that make the denominator equal 0.
[tex]6x-1z2-1z2+5m4+18m+1m2-m-64*2+6*-101[/tex]Learn more about rational expressions here:
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Complete:
33/50 = ?*/100
= ?**
*answer #1
**answer #2 (answer #1 as a decimal)
thanks :)
Answer:
66/100 = 0.66
Step-by-step explanation:
You can solve for the question mark value as though it were any other variable, or you can recognize the relationship between the numbers in the proportion.
__
solve for ?33/50 = ?/100
100(33/50) = ? = 66 . . . . . multiply both sides by 100
Then we know ...
33/50 = 66/100 = 0.66
__
recognize the relationship[tex]\dfrac{33}{50}=\dfrac{\text{?}}{100}\\\\\dfrac{2\cdot33}{2\cdot50}=\dfrac{66}{100}=0.66[/tex]
_____
Additional comment
Both 66/100 and 0.66 are pronounced "sixty-six hundredths".
Answer:
66/100 = 0.66
Step-by-step explanation:
Guy above and my test.
Question 3 of 10
Which number sentence below matches this word problem?
On Monday, 4 people signed up to go bowling. The following day, 11 more
people agreed to go. How many people are planning to go bowling?
A. 4+ 11 = 15
B. 11 x 4 = 44
C. 15-4 = 11
D. 44-4 = 11
Answer:
A
Step-by-step explanation:
On Monday 4 people signed up plus the 11 who agreed to go the following day
which adds up to 15
GIVE BRAINLY PLEASE HELP
Which figure correctly shows the line of symmetry
In a group of 60 workers, the average salary is $80 a day per worker. if some of the workers earn $75 a day and all the rest earn $100 a day how many workers earn $75 a day?
The total number of workers that earn $75 per day is 48
What is average salary?The average salary is calculated based on reported salaries of respondents. The average salary definition is to add the salaries in the sample together, then divide by the number of respondents.
Given that:
In a group of 60 workers, the average salary is $80 a day per worker.
If some of the workers earn $75 a day and all the rest earn $100 a day.
Let 'x' be the total number of workers that earn $75 per day.
So, the total number of workers that earn $100 per day is (60 - x).
As the average salary of 60 workers is $80.
Then,
[tex]\frac{75x + 100(60-x)}{60} =80[/tex]
or, 75 x + 6000- 100x = 80*68
or, -25x= -1200
x= 48
So, the total number of workers earn $75 per day is 48.
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What is the area of this triangle in the coordinate plane?
25.0 units²
27.5 units²
50.0 units²
55.0 units²
Answer:
B.) 27.5²
Explanation:
This should be the triangle per say:
The Area of a Triangle can be found by using the formula- 1/2 x base x height.
In this case: 1/2 x 11 x 5
This equals 27.5².
Hopefully this may help.
help me with this question please!!!!
Answer:
i believe its the second
Step-by-step explanation:
so sorry if im wrong
Sharon brought $19.50 to the state fair. She bought a burger, a souvenir, and a pass. The burger was 1/3 as much as the souvenir, and the souvenir cost 1/2 the cost of the pass. Sharon had $2.00 left over after buying these items.
What was the cost of each item?
The cost of pass is $10.5, the cost of burger is $1.75, and the cost of souvenir is $5.25 if the Sharon brought $19.50 to the state fair.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the cost of the pass is $x
The souvenir cost 1/2 the cost of the pass, which is x/2
The burger was 1/3 as much as the souvenir, which is (1/3)(x/2) = x/6
x + x/2 + x/6 + 2 = 19.50
x = 21/2
x = $10.5
The cost of pass = $10.5
The cost of burger = $1.75
The cost of souvenir = $5.25
Thus, the cost of pass is $10.5, the cost of burger is $1.75, and the cost of souvenir is $5.25 if the Sharon brought $19.50 to the state fair.
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Which equation would solve for the standard rate of pay?
Here is the basic salary-to-hourly formula for this method: First, divide the employee’s annual salary by 52 weeks (the number of weeks in a year). Divide the weekly wages by 40 hours.
This year, you owed $6,414.95 in federal income tax. if you are taxed at a net rate of 17%, what was your taxable income for this year? a. $109,054 b. $26,792 c. $44,867 d. $37,735
Using proportions, it is found that your taxable income for this year is given by:
d. $37,735
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, we have that $6,414.95 is 17% of his taxable income, hence it is given by:
T = 6414.95/0.17 = $37,735.
Which means that option D is correct.
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Answer:D
Step-by-step explanation:
bc its D
PLEASE HELP MODULE 7
The difference between a temperate coniferous forest and a taiga forest is a temperate coniferous forest receive a good amount of rainfall.
What is a temperate coniferous forest ?Temperate coniferous forest is a terrestrial biome that is found in coastal regions that have warm summers and cool winters. They are also found in montane areas.
What is a taiga forest?A taiga forest is characterised by cold, harsh climate with a low rate of rainfall and snow. They are characterized by coniferous forests.
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