Using the z-distribution and the formula for the margin of error, it is found that:
a) A sample size of 54 is needed.
b) A sample size of 752 is needed.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so [tex]z = 1.645[/tex].
Item a:
The estimate is [tex]\pi = 0.213 - 0.195 = 0.018[/tex].
The sample size is n for which M = 0.03, hence:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.018(0.982)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645\sqrt{0.018(0.982)}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.018(0.982)}}{0.03}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.018(0.982)}}{0.03}\right)^2[/tex]
[tex]n = 53.1[/tex]
Rounding up, a sample size of 54 is needed.
Item b:
No prior estimate, hence [tex]\pi = 0.05[/tex]
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645\sqrt{0.5(0.5)}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.5(0.5)}}{0.03}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.5(0.5)}}{0.03}\right)^2[/tex]
[tex]n = 751.7[/tex]
Rounding up, a sample of 752 should be taken.
A similar problem is given at https://brainly.com/question/25694087
What is the slope of the line ?
Answer:
y = -3x + 4
Step-by-step explanation:
Use the slope intercept equation y = mx + b.
b is the y-intercept which is 4 in this equation.
The slope can be found from a graph using rise over run. This graph is decreasing so the slope is negative. Therefore, the slope is -3.
ill mark brainliest thanks
Answer:
x=10
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
6x-7 = 26+2x+7
Combine like terms
6x-7 = 2x+33
Subtract 2x
6x-7-2x =2x+33-2x
4x-7 = 33
Add 7 to each isde
4x-7 +7 = 33+7
4x=40
Divide by 4
4x/4 = 40/4
x=10
what are the correct answers whoever answers it correctly gets brainlist
Answer:
So the answer is... Hold on... Ok i did my research and the answer is........
Step-by-step explanation:
1. Economic
The Industrial Revolution stimulated the hunt for colonies. First, colonies provided raw
materials. Second, colonies served as a market for surplus manufactured goods.
2. Political
Every country wanted national hegemony – that is, to be the No. 1 imperialist country in the
world. To achieve this, they wanted to control as much of the world as
possible. The nation’s greatness is measured by the quality and quantity
of its colonies. Folks wanted to plant the flag in as many places as
possible. Every country wanted recognition as a world power. They
wanted to improve their reputation among other European countries.
They wanted to increase their political power and prestige. Every country
was in competition with its rivals. You took territory – simply to prevent
your rival from getting it!
3. Military
Every imperialist country was worried about its own national security: The competition
among imperialist powers was vicious. One had to protect one’s own
country and its colonies. Every country wanted to gain military
advantage over its rivals. A colony could serve as a fueling station for
the Navy. A ship could stop and load up on supplies. Some spots in the
world, especially waterways, were strategically important. The Navy
was paramount: It must have freedom to travel to and from the
colonies.
4. Cultural
Social Darwinism was the prevailing belief in Europe. It explained why some countries were
rich and some were poor. People compete for survival. The strong survive.
The rich were naturally superior. The weak were unfit. Poverty was a sign of
being unfit. The poor were naturally inferior. The European colonizers were
the Superior Races. The African and Asian colonized were Inferior Races. The
Europeans regarded themselves as racially and culturally superior to the people
of Africa and Asia. Humanitarians argued that it was Europe’s noble duty to
uplift and enlighten the backward peoples. Belief in Anglo-Saxon superiority
was prevalent.
5. Religious
The “missionary impulse”: Christianity is superior to all other religions. We must
spread Christianity to Asia and Africa. Religion encouraged imperialism. People
felt they needed to acquire territory in order to Christianize people. A serious
moral issue – Christianity is in direct conflict with Social Darwinism. Under
Christianity, all people are equal in God’s eyes. Under Social Darwinism, the
Europeans are superior and the Africans and Asians are inferior. There was also a
certain element of hypocrisy: While the Europeans spoke of uplifting people, they
were actually motivated by profit and greed.
PLEASE SHOW YOUR WORK!!!
Solve for y: 3^3 + 14 y- (25y - 13) = y + 7y - 9y
Answer:
y = 4
Step-by-step explanation:
3^3 + 14y - (25y - 13) = y + 7y - 9y
Exponents first.
27 + 14y - (25y - 13) = y + 7y - 9y
Distribute the negative sign from the parenthesis.
27 + 14y - 25y + 13 = y + 7y - 9y
Common terms.
27 + 13 = 40
14y - 25y = -11y
y + 7y - 9y = -y
40 - 11y = -y
Add 11 to both sides.
40 = 10y
Divide both sides by 10.
4 = y
Rearrange.
y = 4.
A runner is 7/8 mile from the finish line. If she can travel 3/8 mile per minute, how long will it take her to finish the race?
Answer:
2 1/3 minutesStep-by-step explanation:
Distance:
d = 7/8 mileSpeed:
s = 3/8 mpmTime:
t = d/st = 7/8 : 3/8 = 7/8 * 8/3 = 7/3 = 2 1/3 minAnswer:
Step-by-step explanation:
Calculate SP (the sum of products of deviations) for the following scores. Note: Both means are whole numbers, so the definitional formula works well: X Y 4 5 0 2 1 1 3 4
Applying the formula, it is found that the SP for both numbers is of 7.
The first step is finding the mean for both sets, hence:
[tex]M_x = \frac{4 + 0 + 1 + 3}{4} = 2[/tex]
[tex]M_y = \frac{5 + 2 + 1 + 4}{4} = 3[/tex]
Then, the SP(sum of products of deviations) is the sum of the multiplications between each value x and the mean, with each respective value of y(same index) and the mean, hence:
[tex]SP = (4 - 2)(5 - 3) + (0 - 2)(2 - 3) + (1 - 2)(1 - 3) + (3 - 2)(3 - 4) = 7[/tex]
The SP for both numbers is of 7.
A similar problem is given at https://brainly.com/question/20640860
Jon makes 20 free throws in practice on
Monday. He makes 25% more free throws
on Friday than Monday. Enter the number
of free throws Jon makes on Friday.
Show your work.
Answer:
25 free throws on Friday.
Step-by-step explanation:
On Monday made 20 free throws
On Friday made 25% more free throws on Friday than Monday
On Friday made 20 free throws + 25% of Monday free throws
On Friday = Monday throws + 25% × Monday throws
On Friday = 20 + (.25 × 20)
On Friday = 20 + 5
On Friday = 25
Multiply & Divide Fractions Task Card # 29
3
4
Beverly walks for exercise
mile every day: How far does
she walk each week?
Answer:
I dont understand what you're saying, but im thinking 7 miles?
Use the graph below to find the slope of the line that goes through the points
|(1, 2) and (6,6).
Answer:
4/5
Step-by-step explanation:
m=y2-y1/x2-x1
=6-2/6-1
4/5
A rectangle has vertices at (-2, 1), (3, 1). (3,-2), and (-2,-2).
What is the area of the rectangle?
8 square units
B. 10 square units
O c. 12 square units
O D. 15 square units
Answer:
C
Step-by-step explanation:
Answer:
D. 15 square units
Step-by-step explanation:
Explanation shown in the screenshots of the graph.
A table is on sale for 32% off. The sale price is $459.
What is the regular price?
the regular price is "x", which of course is the 100%, but we also know that $459 is 32% off that, hmmmmm well 100% - 32% = 68%, so $459 is really 68% of "x", because $459 is whatever "x" is minus 32%.
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 459&68 \end{array}\implies \cfrac{x}{459}=\cfrac{100}{68}\implies \cfrac{x}{459}=\cfrac{25}{17} \\\\\\ 17x = 11475\implies x = \cfrac{11475}{17}\implies x = 675[/tex]
Find x
Will be marked brainliest
Answer:
x = -49
Step-by-step explanation:
The sum of the angles of a triangle is 180°. Set up the following equation and solve for x.
[tex]-x-5+37+99=180\\\\-x+131=180\\\\-x=49\\\\x=-49[/tex]
Write a polynomial function of the least degree that has roots of 3 and (4 + i).
Roots:
Polynomial Function:
Answer:
x³ - 11x² + 41x - 51Step-by-step explanation:
The least number of degree is 3 and the third root should be (4 - i) to make polynomial rational.
The polynomial is:
(x - 3)(x - (4 + i))(x - (4 + i)) = (x - 3)(x² -x(4 + i + 4 - i) + (4 + i)(4 - i)) = (x - 3)(x² - 8x + 16 - (-1)) = (x - 3)(x² - 8x + 17) = x³ - 8x² + 17x - 3x² + 24x - 51 = x³ - 11x² + 41x - 51Add 4/9 +2/9 and simplify answer
Answer: 6/9 = 2/3
Step-by-step explanation: The answer is 2/3 or 6/9 is because you add 2 to 4 and that is 6 you keep the denominator the same because both fractions have the same denominator and you get 6/9, 6/9 is simplified to 2/3
what is the sequre of 9?
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
The square root of 9 is 3.
√9=3
Hope this helps :)
Bruno's Burgers has a cook to server ratio of 2 to 5. The total number of servers and cooks is 42. How many more servers does Bruno's Burgers employ than cooks?
Answer:
18
Step-by-step explanation:
2 to 5 2+5=7 42/7=6
6x2=12. cooks
6x5=30 servers
servers subtracted by cooks equals difference
30-12=18
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea level, as a function of time is
given by h(t) = – 4.9t2 + 235t + 269.
Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?
Find the slope given the coordinate points.
(12, 7) (-4, 2)
Answer as a fraction in reduced form.
Will mark brainliest if correct
20 EASY POINTS PLUS BRAINLIEST IF YOU ANSWER THIS QUESTION
Mark me as Brainliest Please
A pair of Beats Wireless Headphones normally cost $299.99. They are on sale for $229.99. Find the percent of markdown.
Answer:
$159.99
Step-by-step explanation:
Answer this question fast pls
Answer:
Lemons ( 27 ) = Cups ( 9 )
Cups ( 50) = Lemons (30)
Match question I need help
Please.
Answer:
b
Step-by-step explanation:
Answer:
Step-by-step explanation:
anyone good at maths?
1 ) 4 × 11 = 44 yd
____________________
2) 4 × 2 = 8 ft
____________________
3) 4 × 4 = 16 in
____________________
4) 4 × 6 = 24 ft
____________________
5) 4 × 18 = 72 in
____________________
6) 4 × 5 = 20 yd
____________________
7) 4 × 9 = 36 in
____________________
8) 4 × 13 = 52 yd
____________________
9) 4 × 10 = 40 ft
Answer:
I am good, but not for peremiter
Step-by-step explanation:
Ano po tawag dito pinapalipad po to lalagay nyo po yung shape fan blade sa stick tapos po lilipad.
Wag nyo po sagutin kung di po alam.
Mga tutors pasagot po di ko po kau mapili dahil Wala po pambayad
Answer:
Flower stick hahhhahaHaha
help me again due today there is more question after
Given equation
[tex]\\ \sf\longmapsto 42=6b[/tex]
[tex]\\ \sf\longmapsto 6b=42[/tex]
Take 6 to right[tex]\\ \sf\longmapsto b=\dfrac{42}{6}[/tex]
[tex]\\ \sf\longmapsto b=7[/tex]
Option D
5. Aaron sold 126 boxes of cookies. This is 14 more than twice the
number of boxes his sister, Victoria, sold. How many boxes of
cookies did Victoria sell?
Answer:
112
Step-by-step explanation:
Aaron = y
Victoria = x
y = 14 +x
126 = 14 + x
x = 112
Victoria sold 112 boxes of cookies
Dan bought a truck for $29,800. The value of the truck depreciated at a constant rate per year. The table shows the value of the truck after the first and second years: Year 1 2 Value (in dollars) 26,522 23,604.58 Which function best represents the value of the truck after t years? f(t) = 29,800(0.89)t f(t) = 26,522(0.89)t f(t) = 29,800(0.11)t f(t) = 26,522(0.11)t
Answer:
A) f(t) = 29,800(0.89)^t
Step-by-step explanation:The truck value decreases by 11% each year.
The present value of the truck was $29,800.
29,800 x 0.11 = 3,728 dollars lost from value.
29,800 - 3,728 = 26,522, the value of the truck after one year.
26,522 x 0.11 = 2,917.42 cash lost from value.
26,522 - 3,728 = 23,604.58, the value of the truck after two years.
Therefore, the answer is A) f(t) = 29,800(0.89)^t.
need help asap please !!
Answer:
g(3) = 13
Step-by-step explanation:
The function g(3) means you replace every x value in the g(x) equation with 3:
[tex]g(x) = x^2 + 4\\g(3) = 3^2 + 4\\g(3) = 9 + 4\\g(3) = 13[/tex]
Hope this helps!
Answer:
13
Step-by-step explanation:
putting the 3 there just means to replace all x's with 3. If you do that you get g(3) = 3^2 + 4 and if you solve that its 13
Kiran wants to buy blueberries and raspberries to make a fruit tart. Blueberries cost $3.25 per pound and raspberries cost $2.50 per pound. How many pounds of fruit does he buy if he buys 2 pounds of blueberries and 1.5 pounds of raspberries? How many pounds of fruit does he buy if he buys x pounds of blueberries and y pounds of raspberries?
Answer:
$10.25 pounds of fruit
Step-by-step explanation:
3.25 x 2 = 6.5
2.50 x 1.5 = 3.75
3.75 + 6.5 = 10.25
Reduce 45/36 fraction into the
lowest terms.
Answer:
[tex] \frac{5}{4} [/tex]
Hello there! :)
45/36
Let's look for common factors:
45 is divisible by 3, 9 (I list the common factors here)
36 is divisible by 3, 9
Now, the greatest common factor (9) is the one we will use.
Divide 45 by 9:
5
36 by 9:
4
So the answer is 5/4.
Hope this helps!
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex]