Answer:
The sample size required is of 2305.
Step-by-step explanation:
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]1-\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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
A preliminary survey of adult Americans has estimated this proportion to be somewhere around 0.40.
This means that [tex]\pi = 0.4[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The sample size required to estimate this proportion with 95% confidence and a margin of error of 0.02.
The sample size required is of n.
n is found when M = 0.02. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 1.96\sqrt{0.4*0.6}{n}}[/tex]
[tex]0.02\sqrt{n} = 1.96\sqrt{0.4*0.6}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.4*0.6}}{0.02}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.4*0.6}}{0.02})^2[/tex]
[tex]n = 2304.96[/tex]
Rounding up
The sample size required is of 2305.
Yesterday 27 out of 36 students received an A on the test. What percent of
students received an A?
Mind showing how u solved it?
Answer:
75%
Step-by-step explanation:
[tex] \frac{27}{36} \times 100\%[/tex]
Donna, Austin, and goran have a total of $84 in their wallets. Donna had $6 less than goran. Austin has 3 times what goran has. How much does each have?
Answer: Goran = 18, Donna = 12, Austin = 54
Step-by-step explanation:
x + x - 6 + 3x = 84
5x - 6 = 84
5x = 90
x = 18
Hope this helps!
Pretty easy question just stuck please help ASAP
Answer:
SA = 300 cubic yards
Step-by-step explanation:
SA = 12(5) + 8(12 + 13 + 5)
A textbook store sold a combined total of 402 biology and physics textbooks in a week. The number of physics textbooks
sold was 54 less than the number of biology textbooks sold. How many textbooks of each type were sold?
Number of biology textbooks sold: 0
Number of physics textbooks sold:
0
We have two types of textbooks. Let's use "x" to represent the number of math textbooks and "y" to represent the number of history textbooks.
Altogether, the bookseller sold 240 math and history textbooks. So:
x + y = 240
Now, the number of history textbooks sold was 72 less than the number of math books sold. So:
y = x - 72
Now we can substitute for y in the equation and solve:
x + y = 240
x + (x - 72) = 240
2x - 72 = 240
2x = 312
x = 156
The bookseller sold 156 math textbooks.
Since y = x - 72, he must have sold 84 history textbooks.
Let's check our answers:
x + y = 240
156 + 84 = 240
That is true, so we did get the correct answers.
Solve the percent problem 76 gallons is 126% of ___ gallons. Round to the nearest hundredth, if necessary.
Answer:
60.32
Step-by-step explanation:
126%=1.26
60.32*1.26=76.0032
76.0032≈76
Solve 2x + 8 < 10 or 2x + 8 > 20.
Answer:
x=1 or x=9
Step-by-step explanation:
make x the subject of the formula by correcting the right terms and then divid both sides by 2
Answer:
Step-by-step explanation:
What is the elapsed time between 10:05am 10:51am
46 minutes is the elapsed time :)
Answer:
46 minutes
Step-by-step explanation:
In order to find the time elapsed, you must subtract 10:51 and 10:05 which equals 46 minutes.
Find the measure of angle R ((look at pic pls help)
A- 45
B- 60
C- 90
D- 30
Answer:
B
Step-by-step explanation:
5 t-shirt cost R120.how much will 9t-shirt cost
Step-by-step explanation:
given
5 t-shirts = R120
(5÷5) t - shirt = R(120÷5)
1 t-shirt = R24
(1x9) t-shirts = R(9x24)
= R216
A piece of art weighing 30 pounds is hung from two wires as shown below. Each wire is supporting half of the weight of the picture. However, since the wires extend out at an angle, they are also imparting force towards the left and right. Therefore, the force on each wire is greater than 15 pounds. Look at the diagram above with the vectors. Use trigonometry to find ||→ux||and ||→vx||.
||→ux||=____ pounds ||→vx||= ___ pounds What is the total force (in pounds) exerted on each wire?
||→u||= ____pounds ||→v||= ____pounds
Answer:
30 pounds + 15 pounds is 45 pounds is your total force
The diamter of a circle with a radius of 6
Answer:
12
Step-by-step explanation:
Answer: 12
Step-by-step explanation:
The diameter is just the radius*2 so the diameter is 12
Can someone help me?
In math class, the girl to boy ratio is 8 to 6. If there are 24 girls in the class, how many boys are there? please ill rate you a five
Answer:
32boys
and
total of 56 students
Step-by-step explanation:
8:6
[tex]x \times \frac{6}{14} = 24 [/tex]
[tex]x = 24 \div \frac{6}{14} [/tex]
[tex]x = 56[/tex]
so,
[tex]56 \times \frac{8}{14} = 32[/tex]
A bucket can hold a total of 5 gallons of water. If the bucket is 45% full, how much water is in the bucket?
Answer:
2.25 or 2 1/4 gallons of water
Step-by-step explanation:
5*0.45=2.25
Fraction form 2 1/4
Decimal form 2.25
Hope this helps :)
The amount of bucket that is filled is 2.25 gallons of water
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The total amount the bucket of water can hold = 5 gallons
The percentage of bucket that is full = 45 %
So ,
The amount of bucket of water that is full is =
percentage of bucket that is full x total amount the bucket of water can hold
The amount of bucket of water that is full is = ( 45 / 100 ) x 5
= 0.45 x 5
= 2.25 gallons
Hence , the amount of water that the bucket is filled is 2.25 gallons
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ2
You buy ricotta cheese in 5 lb containers. One batch of cheese ravioli requires 0.2 ounces of ricotta cheese. How many batches can be made with one container? Round down (don't include partial batches).
Answer:
3
Step-by-step explanation:
16 oz= 1 lb
16 oz x 5lbs = 80 oz
80 oz/ 24 oz= 3.33333333
Answer=3 when rounded down
A small box measures 4 in.by 3in. by 3/4 in. high. Find the volume of the box
Answer:
V=e^3
Step-by-step explanation:
find the perimeter of the figure
Answer:
Step-by-step explanation:
plz give me ans fast.
Answer:
Shopping malls are replacing small shops
geometry question pls help!!!
Find measure of angle BPD
A-9 degrees
B- 14 degrees
C- 155 degrees
D- 146 degrees
Answer:
(C). 155°
Step-by-step explanation:
у = -x + 2
y = 2x + 5
Answer:
x= -1
Step-by-step explanation:
-x+2= y =2x+5
-x+2=2x+5 /+x
2=3x+5 /-5
-3=3x
x= -1
The local grocery store is having a sale on watermelons. Mr. Jackson purchases 10 watermelons for a school picnic. He pays $39.90 for the watermelons. What is the price of each watermelon?
Answer:
$3.99 per watermelon
Step-by-step explanation:
$39.90 total paid divided by 10 watermelons is $3.99
What is 123,000,000 as a multiple of a power of 10
Answer:
1.23x10^8
Step-by-step explanation:
someone please help me answer this!!
please help me and don't put sum bs answer or a link
Answer:
Both X and Y are equal to 15 multiply by the square root of 2.....(i just do not know how to type the symbol on my keyboard)
Step-by-step explanation:
So for X:
X=30 sin 45
=15 multiply by the square root of 2
For Y:
Y=30 cos 45
=15 multiply by the square root of 2
But you could also use theorem of Pythagoras
Can someone help me??
Answer:
1) x represents the # of cranes
3x represents the # of cranes * 3 minutes
10 represents the time the centerpiece took
30 is the time limit
2) x[tex]x\geq \frac{20}{3} or 6\frac{2}{3}[/tex]
Btw, i'm not sure which way the signs go since I learned this a while ago.
Step-by-step explanation:
Good Luck!!!
Please help and answer!!!!
Answer:
B!
Step-by-step explanation:
the sample space is basically just a list of every possible out come that could happen. in this case it is just the numbers the spinner could hit in one spin!
Answer:
The answer is B!
Step-by-step explanation:
0_____________________________________0
The face says brainliest please!
How many faces does the polyhedron have?
9514 1404 393
Answer:
5
Step-by-step explanation:
We presume the figure is a rectangular pyramid and that there are two hidden faces, one on the bottom and one at the back.
We can see 3 faces, so adding the two we presume we can't see, there are a total of 5 faces on this polyhedron.
Are these triangles congruent ?
Answer:no
Step-by-step explanation:
plz help!!!!!!!!!!!!!
Answer: The Answer is 15
Step-by-step explanation:
please HELPppppppppppppppp
Answer:
Point of intersections are (0, -7) and (5, -2).
Step-by-step explanation:
From the graph attached,
A straight line is intersecting the circle at the two points (0, 7) and (5, -2).
Now solve algebraically,
Equation of the line → y = x - 7 -------(1)
Equation of the circle → (x - 5)² + (y + 7)² = 25 -------(2)
By substituting the value of y from equation (1) to equation (2)
(x - 5)² + (x - 7 + 7)² = 25
(x - 5)² + x² = 25
x² - 10x + 25 + x² = 25
2x² - 10x = 0
x² - 5x = 0
x(x - 5) = 0
x = 0, 5
From equation (1),
y = 0 - 7 = -7
y = 5 - 7 = -2
Therefore, point of intersections are (0, -7) and (5, -2).