Answer:
A sample of 6758 would be needed.
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]
The newspaper took a random sample (assume it is an SRS) of 1200 registered voters and found that 580 would vote to raise taxes.
This means that [tex]\pi = \frac{580}{1200} = 0.4833[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
How large a sample n would you need to estimate p with margin of error 0.01 with 90% confidence?
This is n for which M = 0.01. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.01 = 1.645\sqrt{\frac{0.4833*0.5167}{n}}[/tex]
[tex]0.01\sqrt{n} = 1.645\sqrt{0.4833*0.5167}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.4833*0.5167}}{0.01}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.645\sqrt{0.4833*0.5167}}{0.01})^2[/tex]
[tex]n = 6757.5[/tex]
Rounding up:
A sample of 6758 would be needed.
. The table shows the dimensions of four boxes. Which is the order of the volumes of the boxes from least to greatest?
Answer:
D
Step-by-step explanation:
multiply tge length × width x height fir each and the least to greatest is D
Identify the area of the figure shown.
Answer:
54
Step-by-step explanation:
Find the area of the triangle:
1/2((3 + 5 + 3)*8) = A
1/2((11)*8) = A
1/2(88) = A
44 = A
Find the area of the rectangle:
2 * 5 = A
10 = A
Add the two areas:
10 + 44 = A
A = 54
A data set is normally distributed with a mean of 25 and a standard deviation of 1.
Using the Empirical Rule, what percent of the data is greater than 26?
Group of answer choices
34%
16%
13.5%
23%
Please helppp!!!
what is the perimeter of the triangle?
what is the area or the triangle?
Answer:
The perimeter is 27 km
The area is 21 km^2
Step-by-step explanation:
The perimeter of a triangle will just be all of the sides added up.
12 + 9 + 6 = 27 km
The area of a triangle is:
A = 1/2 * base * height
The base is 6 km, and the height is 7 km. Substituting the values in and solving, we get:
A = 1/2 * 6 * 7
A = 3 * 7
A = 21 km^2
Find the 10th term of the geometric sequence show below
Answer:
-19,6830x^26
Step-by-step explanation:
The nth term of a geometric sequence is expressed as;
Tn -= ar^n-1
a is the first term
is the number of terms
r is the common ratio
Given
a = -10x^8
r = 30x^10/-10x^8 = -3x^2
n = 10
Substitute
a10 = (-10x^8)(-3x^2)^10-1
a10 = (-10x^8)(-3x^2)^9
a10 = -10x^8)(19,683)x^18
a10 = -19,6830x^26
Hence the tenth term is -19,6830x^26
1.
What is the solution?
y
3
-3-2-1
2 3x
O (1,2)
O (1,-1)
O 1
02
9514 1404 393
Answer:
(d) Infinitely Many Solutions
Step-by-step explanation:
Each point of intersection between the lines is a solution. When the lines lie on top of each other, there are infinitely many points of intersection, hence ...
Infinitely Many Solutions
Sharon paid $19.50 sales tax on a new camera. If the sales tax rate is 6.5%, what was the total cost of the camera including tax? Round to the nearest cent (hundredths place).
Answer:
i think its 1.2 dollors im not 100 percent sure
Step-by-step explanation:
Ill give brain just helpppp
Answer:
Hey, gm!
Step-by-step explanation:
With what? Let me know :)
Have a nice day <3
An elephant can travel 30 km in 2 hours. How fast is the elephant moving?
Which sequence of transformations will change figure PQRS to figure P′Q′R′S′? (5 points)
Group of answer choices
Counterclockwise rotation about the origin by 180 degrees followed by reflection over the x-axis
Counterclockwise rotation about the origin by 180 degrees followed by reflection over the y-axis
Counterclockwise rotation about the origin by 270 degrees followed by reflection over the x-axis
Counterclockwise rotation about the origin by 270 degrees followed by reflection over the y-axis
Answer:
Step-by-step explanation:
Counterclockwise rotation about the origin by 180 degrees followed by reflection over the y-axis
In ΔMNO, o = 63 cm, n = 23 cm and ∠N=30°. Find all possible values of ∠O, to the nearest degree.
Answer:
No triangle possible
Step-by-step explanation:
what are the lengths of side a and b
Answer:
solution given:
∆ABC is a right angled isosceles triangle
perpendicular [p]=base [b]=a=b
hypotenuse [h]=3ft
By using Pythagoras law
h²=p²+b²
3²=a²+a²
9=2a²
a=√(9/2)=[tex] \frac{3 \sqrt{2} }{2} [/tex]
so
a=b=[tex] \frac{3 \sqrt{2} }{2} [/tex]
couldn't write, added a file
Answer: 25=75 3 =15 15 =5
Step-by-step explanation:
Answer:
1 - 75
3 - 25
5 - 15
Step-by-step explanation:
Hope this helps! Please brainliest!
Find the 17th term in the sequence for which a1 = 10 and d = -3.
Answer:
56
Step-by-step explanation:
please mark this answer as brainliest
Answer:
d. -38 on edge21
Step-by-step explanation:
Help fast pls. I will surely mark you brainliest. Answer step by step
Sohail, Amar, raja, and Mira go to a restaurant to have diner, Sohail pays 1/5 of the bills, Amar pays 2/5 of it and the balance is shared equally between raja and Mira. Who pays the maximum amount?
Answer:
Amar pays the most
Step-by-step explanation:
Amar pays the most, because Mira and Raja split the bill, so they onyl need to pay 1/5 each. However, Amar needs to pay 2/5 which is the most.
Hope this helps!
Convert the following equation
into standard form.
y = 2x – 4
-2x + y = [?]
Answer:
-4
Step-by-step explanation:
What is the value of -2(x + 5)?
A. x + 10
B. x - 10
C. -2x - 2
D. -2x - 10
Answer:
D
Step-by-step explanation:
Use the distributive property to multiply both x and 5 by -2:
-2(x + 5) = -2x - 10
Answer:
[tex]{\huge\blue{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]
[tex] - 2(x + 5) \\ = - 2x - 10[/tex]
✏ D. -2x - 10 is the correct answer.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\purple{ \mid{ \underline{ \overline{ \tt ꧁❣ RainbowSalt2222 ࿐ }} \mid}}[/tex]
How many miles will light travel in one day if the speed of light is 300,000,000 meters per second.
(1.62 km = 1 mi)
Answer:
[tex]d=1.61\times 10^{10}\ miles[/tex]
Step-by-step explanation:
Given that,
The speed of light, v = 300,000,000
eWe need to find the distance light travel in 1 day. We know that,
1 day = 86400 seconds
Distance = speed × time
So,
[tex]d=3\times 10^8\times 86400[/tex]
[tex]d=2.592\times 10^{13}\ m[/tex]
or
[tex]d=0.001610\times 10^{13}\\\\d=1.61\times 10^{-3}\times 10^{13}\\\\d=1.61\times 10^{10}\ miles[/tex]
So, the required distance is equal to [tex]1.61\times 10^{10}\ miles[/tex].
Given a polynomial f(x), if (x + 7) is a factor, what else must be true
Answer:
Step-by-step explanation:
at x = -7, the polynomail function f(x) has a zero (x-intercept)
What is the approximate circumference of a circle that has a center at (6,2) and passes through the point (20,2)? (Use 3.14 as an approximation for pi)
answers : 126,88,63,44
Answer:
C = 88
Step-by-step explanation:
So, we know that the circle passes thru the point (20,2), and it's center is (6,2).
The general definition of a circle's radius is the distance from the center to any point on the circle!
Vertically, these points are the same - so if we just subtract 20 from 6 we know the distance between the center and this point on the circle!
[tex]20 - 6 = 14\\r=14[/tex]
Anyhow, we now know that the radius is 14. and the equation for a circle's circumference is as follows:
[tex]r2\pi \\or\\d\pi[/tex]
Insert the values into the equation....
[tex]C = 3.14(14)(2)\\C=87.92[/tex]
87.92 ≈ 88.00
Have a nice day, fam. Spread The Love <3
A pizza shop delivers an extra large pizza, which is sold for \$20$20dollar sign, 20, and costs the pizza shop \$12$12dollar sign, 12 to make. The pizza shop has a delivery policy that says if the pizza takes longer than half an hour to arrive, there is no charge. Experience has shown that delivery takes longer than half an hour only 10\%10%10, percent of the time.
Let the random variable XXX be the pizza shop's profit for a randomly selected delivery order for one of these pizzas. Here is the probability distribution for XXX:
Late On-time
X=\text{profit}X=profitX, equals, start text, p, r, o, f, i, t, end text -\$12−$12minus, dollar sign, 12 \$8$8dollar sign, 8
P(X)P(X)P, left parenthesis, X, right parenthesis 0.100.100, point, 10 0.900.900, point, 90
Given that \mu_X=\$6μ
X
=$6mu, start subscript, X, end subscript, equals, dollar sign, 6, calculate \sigma_Xσ
X
sigma, start subscript, X, end subscript.
Round your answer to two decimal places.
\sigma_X=σ
X
=sigma, start subscript, X, end subscript, equals
dollars
The standard deviation for the given probability distribution is;
σₓ = $6
Probability Distribution
The image for the probability distribution is missing and so i have attached it.
We are given;
Expected Value which is the mean as;
µₓ = $6
Now, from the probability distribution table attached, we can find the mean (expected value) of a discrete random variable X from;
Variance(X) = (-12 - 6)²(0.1) + (8 - 6)²(0.9) = 36
Thus, standard deviation of the random X is;
σₓ = √36
σₓ = $6
Read more about probability distribution at; https://brainly.com/question/4630765
FH and IK are parallel lines.
Which angles are vertical angles?
Answer:
LJ and GE
Step-by-step explanation:
Answer:
Angles IJG and KJL are vertical angles
Step-by-step explanation:
Vertical angles are formed when two lines intersect. It's a terrible name for them, because the name has nothing to do with the common word "vertica" (up-and-down).
The attached image shows an example of a pair of vertical angles. Another pair is angles AED and CEB.
Find the surface area of this net.
5 cm
13 cm
8 cm
A
B
C
12 cm
28
square centimeters
Answer:
360 cm
Step-by-step explanation:
first you find the triangles which is 1/2 (8×3)=12
then multiply by 2=24
I'm not too sure what your long rectangle measurements are but
I think your long measurement is 28, so then multiply 28 by 12 which is 336. then you add that to 24 which is 360
Select the point that is a solution to the system of inequalities.
y< x2 + 3
y=x²-4
A. (-2,-4)
B. (0,4)
C. (1,2)
D. (4,0)
Find an expression which represents the sum of (8x+10y) and (-4x-3y) in simplest form
Answer:
An algebraic expression is an expression which consists of variables, coefficients, constants, and mathematical operators such as addition, subtraction, multiplication and division. Generally, if two things are the same, then it is called equivalent.
Step-by-step explanation:
A hospital has 12 floors. On each floor there are 294 beds. The hospital wants one nurse for every 3 patients. How many nurses will the hospital have to hire to make this happen?
which angle corresponds to <OJH
Answer:
line parallel to OJ or JH
A. 4 in
B. 5 in
C.60 in
D. 1.7 in
FOR BRAINLIST!!!!
Answer:
A. 4in
Step-by-step explanation:
Since the triangles are similar, their sides are in ratio. Therefore, we can say that:
KL/JK=BC/AB
x/1.5=16/6
x=(1.5)(16/6)
x=4
The nationwide mean height of players on a high school basketball team is 71 in., with standard deviation of 5 in. A
random sample of 150 players was used to determine the range of reasonable means.
Answer:
Thov txim ntau heev, tab sis kuv zoo li ruam heev yog li kuv xav tau cov ntsiab lus no thov tsis txhob qhia kuv!
Step-by-step explanation:
Can you guys help? Last one plzzzz
Answer:
Step-by-step explanation: