Using the z-distribution, it is found that since the absolute value of the test statistic is less than the critical value, the difference in the sample proportions is not statistically significant at the 1% level.
At the null hypothesis, we test if the proportions are the same, that is, their subtraction is 0, hence:
[tex]H_0: p_1 - p_2 = 0[/tex]
At the alternative hypothesis, it is tested if they are different, that is, their subtraction is not 0, hence:
[tex]H_1: p_1 - p_2 \neq 0[/tex]
The proportions and their respective standard errors are given by:
[tex]p_1 = \frac{653}{1046} = 0.6343, s_1 = \sqrt{\frac{0.6343(0.3657)}{1046}} = 0.0149[/tex]
[tex]p_2 = \frac{791}{1327} = 0.5961, s_2 = \sqrt{\frac{0.5961(0.4039)}{1327}} = 0.0135[/tex]
For the distribution of the difference, the mean and the standard error are given by:
[tex]\overline{p} = p_1 - p_2 = 0.6343 - 0.5961 = 0.0382[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0149^2 + 0.0135^2} = 0.0201[/tex]
The test statistic is:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
In which [tex]p = 0[/tex] is the value tested at the null hypothesis.
Hence:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
[tex]z = \frac{0.0382 - 0}{0.0201}[/tex]
[tex]z = 1.9[/tex]
The critical value for a two-tailed test, as we are testing if two values are different, with a significance level of 0.01, is of [tex]|z^{\ast}| = 2.576[/tex]
Since the absolute value of the test statistic is less than the critical value, the difference in the sample proportions is not statistically significant at the 1% level.
A similar problem is given at https://brainly.com/question/25728144
1) An airplane is at 10,000 feet above the ground. It needs to fly higher to reach the regular flying height. It increases its height at a constant rate of 2,000 feet per minute. How high will the plane be in 10 minutes?
Answer:
20000
Step-by-step explanation:
Answer: 30,000 feet
Step-by-step explanation: We start with the 10,000 feet original height. From there, we can take 2,000 feet per minute and multiply it by 10 minutes. That gets us 20,000 feet. Add 20,000 to our original 10,000 and we get 30,000.
BRAINLIEST TO WHOEVER CAN ANSWER!!!!!
Students at Taft Middle School have a goal of collecting 1,000 pounds of recycling materials each month. The following table shows their results over a 6 month time period. Complete the table.
Answer:
February: +10
March: -5
April: +50
May: -25
June: -20
Step-by-step explanation:
Subtract each value in column 2 by 1000. A positive number means exceeding the monthly goal of 1000 pounds, a negative number means not achieving the goal.
Help pleaseeee
Correct answers only
Answer: D 10
Step-by-step explanation:
The sum of a whole number A and a whole number B is 30, and the ratio A : B is equivalent to 3 : 2
Which number has a prime factorization of 2x2x5x5x7x7
Answer:
4900
Step-by-step explanation:
multiply all those numbers together
2x2x5x5x7x7 = 4900
someone please help meeeee! I don't know what the solution is!
Answer:
(2,4)
Step-by-step explanation:
Answer:
(2,4)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation
4x+3+3=-2
help asappl
Answer:
x = − 2
Step-by-step explanation:
Find the perimeter. Simplify your answer.
Answer:
4
Step-by-step explanation:
yeah-ya........ right?
The perimeter of the triangle is 2(12c - 7).
What is a triangle?A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. The perimeter of a triangle is the sum of the side lengths.
What is the perimeter of the triangle?Perimeter = 7c - 5 + 7c - 5 + 10c - 4
24c - 14
2(12c - 7)
To learn more about a triangle, please check: https://brainly.com/question/9329354
Could you please help me
Thank you x
Answer:
25.5 divided by 100 =255.Then 255-50+60 =255-110=145 therefore x=145
you are welcome
regards
reedemk
Find the sum of a third of (a+b) and a fifth of (a-b)
Step-by-step explanation:
As per linear equation, the required sum is [tex]\frac{2(a+4b)}{15}[/tex].
What is a linear expression?A linear expression is an expression where the variable has the highest power of 1.
Given liner expression is:
[tex]\frac{a+b}{3}-\frac{a-b}{5}\\= \frac{5(a+b)-3(a-b)}{15}\\= \frac{5a+5b-3a+3b}{15}\\= \frac{2a+8b}{15}\\= \frac{2(a+4b)}{15}[/tex]
Therefore, the required sum is [tex]\frac{2(a+4b)}{15}[/tex].
Learn more about a linear equation here: https://brainly.com/question/1722892
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PLEASE HELP ME ASAP
NO LINKS
Step-by-step explanation:
1)
x⁴×x^a = x¹²
you know that you can add the exponents when multiplying terms with the same base value/variable ?
because that is what we are doing here to solve it :
x^(4 + a) = x¹²
therefore,
4 + a = 12
a = 8
2)
y^b / y⁵ = y²
similar to 1), but when we divide, we subtract the exponents.
y^(b - 5) = y²
b - 5 = 2
b = 7
3)
3^c = 1/27
27 = 3³
27×3^c = 1
3³×3^c = 1
3^(3 + c) = 1
now we need to remember : x⁰ = 1.
therefore, 3⁰ = 1
3^(3 + c) = 3⁰
3 + c = 0
c = -3
4)
(m³)² = m^d
aha !
now we need to remember, we can multiply the exponents, when we have an exponent of an exponent term.
m^(3×2) = m^d
3×2 = d
6 = d
5)
7⁰ = e
remember, x⁰ = 1, so also 7⁰ = 1.
therefore, e = 1.
6)
4^-2 × 4⁹ × 4^‐5 = 4^f
so, now we need apply what we just learned to a sequence of operations :
each term has the same base value (4), and they are all multiplied, so we can do the described adding of the exponents :
4^(-2 + 9 - 5) = 4^f
therefore,
f = -2 + 9 - 5 = 2
Answer:
just here 4 points
Step-by-step explanation:
The question is written on the image
Answer:
I have attached the answer below.
Step-by-step explanation:
The diagram which has red ink cannot take a perfect feeding path.
Hopefully this helps.
Find the selling price for each item given the cost and the percent of the markup or discount.
flat-screen TV: $669; 23% markup
A. $153.87
B. $692
C.515.13
D.822.87
Anyone for a brainly help me out
Answer:
y<x+1
Step-by-step explanation:
Plug your slope and a point into the formula y = mx + B, in which "m" is the slope, (x, y) is a point on the line and "b" is the y-intercept, to find the equation governing the inequality line. Plugging in (0, 0), you obtain 0 = 0 + b, so b = 0. Rewriting the equation, you obtain y<x+1
There is a bag filled with 3 blue, 4 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 green?
Answer:
35/72
Step-by-step explanation:
Flying against the jetstream, a jet travels 3280 miles in 4 hours. Flying with the jetstream, the same jet travels 5500 miles in 5 hours. What is the rate of the jet in still air and what is the rate of the jetstream?
Mike's age is six more than two times his sister's age. Mike is seventeen years old.Write the equation that could be used to determine the age of Mike's sister.
Answer:
Mike's sisters age is 5 years old
Step-by-step explanation:
Since Mike is 17 years old, he is six years older than 2 times her age, so we subtract 6 from his age; we get 11 since he is 2 times her age divide 11 by 2 = 5.5. That means that his sister is 5 years old
Suppose you write the set {1000, 1001, 1002,..., 2000} in base 10. Then you record this set in base 5 and find the number in the new set whose digits have the least sum. What is this number, written in decimal notation? This number is
Decimal notation is a way of expressing a number in base ten but with a decimal part. Therefore, from the given question;
The number required is 1500The number in decimal notation is 1500.0Number bases is a method of expressing numbers in different notations with respect to the required base. When given numbers in base ten, it is required to divide it by the number base for conversion using long division method so as to convert it to any required base. So converting each element in the given set to base 5, we have:
{1000, 1001, 1002, 1003, 1004,......, 2000}
So that:
i. 1000 converted to base 5, we have:
5 1000
5 200 r 0
5 40 r 0
5 08 r 0
5 01 r 3
00 r 1
⇒ [tex]13000_{5}[/tex]
ii. 1001 converted to base 5, we have:
5 1001
5 200 r 1
5 40 r 0
5 08 r 0
5 01 r 3
00 r 1
⇒ [tex]13001_{5}[/tex]
iii. 1002 converted to base 5, we have:
5 1002
5 200 r 2
5 40 r 0
5 08 r 0
5 01 r 3
00 r 1
⇒ [tex]13002_{5}[/tex]
So then, the set in base 5 is:
{13000, 13001, 13002, 13003, 13004,......, 31000}
To determine the number whose digits have the least sum;
a. 13000 = 1 + 3 + 0 + 0 + 0 = 4
b. 13001 = 1 + 3 + 0 + 0 + 1 = 5
c. 13002 = 1 + 3 + 0 + 0 + 2 = 6
d. 13003 = 1 + 3 + 0 + 0 + 3 = 7
e. 13004 = 1 + 3 + 0 + 0 + 4 = 8
. . . . . . .
. . . . . . .
z. 31000 = 3 + 1 + 0 + 0 + 0 = 4
Thus it would be observed that in base five, 1000, 1500 and 2000 digits gave the least sum of 4, so then:
[tex]\frac{1000+1500+2000}{3}[/tex] = 1500
The number is 1500The number in decimal notation is 1500.0Visit: https://brainly.com/question/25112081
Answer:
I think its 1500
Step-by-step explanation:
1500
Pls help me i only have 20 mins
Answer:
In bold below.
Step-by-step explanation:
Part 1A: 60 hours * $11.50.
Ashly's GMI is $690.00
Part 2A: To find out how much Ashly's income goes towards technology, we need to find out how much 10% of $690.00 is. To do that, multiply 690 * 0.1. You'll get $69.00.
$69.00 goes towards Ashly's technology.
Part 2B: To find out how much she spends on lunch, we must do the same as above, only replacing 0.1 with 0.02. 690.00 * 0.02 = 13.8
$13.80 goes towards Ashly's technology.
Part 2C: $13.80 + $69.00 = $82.80
$82.80 is Ashly's monthly deductions.
Part 3A: If Ashly's annual salary is $8,280, we divide that by 12 to see how much she gets per month.
Ashly's GMI is $690.00
Sweet Treats Bakery sells gourmet cookies. If three gourmet cookies cost $7.95, then
how much will it cost to buy 10 cookies?
Answer:
$26.50
Step-by-step explanation:
7.95/3=2.65
2.65*10=26.5
Answer:
$26.50
Step-by-step explanation:
If 3 cookies are 7.95, we can do 7.95/3 to find the cost of 1 cookie.
1 cookie is 7.95/3 = 2.65.
Now, we can find the cost of 10 cookies by simply multiplying 10 to the cost of 1 cookie, which is 2.65*10 = 26.5.
10 cookies will cost $26.50.
Is the expression 8 x 85 equivalent to (8 X 835? Explain.
pls help I'm dying lol
[tex]8 \times 835 = 6680[/tex]
Answer:
the answer will be 6680
Please help, thanks. I don't understand how to do this.
Answer:
3m(a-2b)+(a-2b)^2
= 3m(a-2b)+(a-2b)(a-2b)
= (a-2b)(3m+a-2b)
Select all the pairs of points so that the line between those points has slope 2/3.
B, (0,0)(3,2)
C, (1,5)(4,7)
D, (-2,-2)(4,2)
All of these ordered pairs have a slope of 2/3, by way of the slope formula.
The slope of option B, C and D are equal to 2/3.
The given slope is 2/3.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)
A) Using (0, 0) and (2, 3) we get slope as
Now, slope = (3-0)/(0-2)
=3/2
B) Using (0, 0) and (3, 2) we get slope as
Slope = (2-0)/(0-3)
= 2/3
C) Using (1, 5) and (4, 7) we get slope as
Slope = (7-5)/(4-1)
= 2/3
D) Using (-2, -2) and (4, 2) we get slope as
Slope =(2-(2))/(4-(-2))
= 4/6
= 2/3
E) Using (20, 30) and (-20, -30) we get slope as
Slope =(-30-30)/(-20-20)
= -60/(-40)
= 3/2
Therefore, the slope of option B, C and D are equal to 2/3.
To learn more about the slope of a line visit:
https://brainly.com/question/14511992.
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We can repeat the derivative operation: the second derivative $f''$ is the derivative of $f'$, the third derivative $f'''$ is the derivative of $f''$, and so on. Find a function $f$ such that $f'$ and $f''$ are not the function 0, but $f'''$ is the constant function 0.
Answer:
f(x) = x^2
Step-by-step explanation:
Any quadratic (2nd-degree) function will have 0 as its third derivative.
f(x) = ax² +bx +c
f'(x) = 2ax +b
f''(x) = 2a
f'''(x) = 0
Perhaps the simplest such function is f(x) = x^2.
When the function f(x) = 5•2x is evaluated for x = 3, the output is:
30.
20.
10.
None of the choices are correct.
Which expression is equivalent to x6 – 9?
(x3)2 – 33
(x3)2 – 32
(x3)3 – 32
This polynomial is an example of a .
Step-by-step explanation:
[tex] {x}^{6} - 9 = { ({x}^{3} })^{2} - {3}^{2} [/tex]
Answer:
(x^3)^2-3^2 , or b.
and its the diffrence of suqares.
Step-by-step explanation:
Someone please help me with this question
Answer:
Search it up
Step-by-step explanation:
hope you pass the test
Solve. −425=x−114 What is the solution to the equation? Enter your answer as a simplified mixed number in the box. FIRST PERSON TO ANSWER GETS 100 POINTS
Answer:
-311
Step-by-step explanation:
−425 = x − 114
=> x = -425 + 114
=> x = -311
Therefore, -311 is our answer.
Hoped this helped.
help me it would be nice if you could help me
Answer: B (x=1)
The x-axis shows all the zeros (solutions).
If you were trying to find the slope and the equation of the line, you would go y/x for the slope.
While, b is the y axis, which is 3 in this case.
And the slope is 3/1, which is rise over run (y/x)
Linear equations: y = mx+b
Quadratic equation: ax^{2}+bx+c
(Not going to go in much more depth)
The equation of this line is y = 3x + 1
expand and simplify (x+3)²
Answer:
x² + 9 + 6xStep-by-step explanation:
expand and simplify (x+3)²
(x+3)² =
x² + 9 + 2 × x × 3 =
x² + 9 + 6x
Answer:
x² + 6x + 9
Step-by-step explanation:
( x + 3 ) ²
( x + 3 ) ( x + 3 )
x ( x + 3 ) + 3 ( x + 3 )
x² + 3x + 3x + 9
x² + 6x + 9
Hope this helps you.
Let me know if you have any other questions :-)