Answer:
A sample of 752 should be taken.
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 z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
No preliminary sample is taken
This means that [tex]\pi = 0.5[/tex]
How large should the sample be to be 90% sure that the estimate is within .03 of the population proportion?
This is n for which M = 0.03. So
[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*0.5[/tex]
[tex]\sqrt{n} = \frac{1.645*0.5}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.645*0.5}{0.03})^2[/tex]
[tex]n = 751.7[/tex]
Rounding up:
A sample of 752 should be taken.
What is 2/6 in simplest form? Find the greatest common factor of 2 and 6 and divide by that number. *
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
2 = 2 × 1
6 = 2 × 3
GCF = 2
[tex]\frac{2 /2 }{6/2} =\frac{1}{3}[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\boxed{\frac{1}{3}}[/tex]
»»————- ★ ————-««
Here’s why:
We would take the GCF of the two numbers in order to simplify.⸻⸻⸻⸻
[tex]\boxed{\text{Simplify:}}\\\\\frac{2}{6}\\\\\boxed{\text{Finding the Factors:}}\\\\2: 2\\6 : 2,3\\\\\boxed{\text{The GCF would be 2.}}\\\\\frac{2}{6} =\frac{2/2}{6/2}=\boxed{\frac{1}{3}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
There are 20 rows of seats on a concert hall: 25 seats are in the 1st row, 28 seats on the 2nd row, 31 seats on the third row, and so on. How many seats are in the last row?
Answer:
It is a sequence topic.
The general term of the sequence is 25+3(n-1) where n is the number of the term (here it is the row no.)
So the 20th term is the term with n=20. Substitute n=20 into the above general term, we will get 25+3(20-1) .
Please go on by yourself to work out the answer.
Complete the remainder of the table for the given function rule:
Y=3x-5
[X] -6 -3 0 3 6
[Y] -23 ? ? ? ?
answer is
(Y)=-23,-14, -5,4,13
hope this will help you
Found out the answer please I can't do this
Answer:
530.929158457
Step-by-step explanation:
13x13= 169 x pi= 530.929158457
Which table represents a linear function?
Answer:
Option 3 (C)
Step-by-step explanation:
It is the only one that changes the same amount every time ( times 2 )
show how to solve 1/4 (4 + x) = 4/3
pls solve for 2 brainliest
Draw a model to represent each expression.
Answer:
OK
Step-by-step explanation:
The first screenshot is for #7 and the second screenshot is for #8
The symbols for elements with accepted names Group of answer choices consist of a single capital letter consist of a capital letter and a small letter consist of either a single capital letter or a capital letter and a small letter no answer is correct
Answer:
consist of either a single capital letter or a capital letter and a small letter.
Step-by-step explanation:
A chemical reaction can be defined as a reaction in which two or more atoms of a chemical element react to form a chemical compound.
In Chemistry, a chemical element can be defined as any pure substance that is typically made up of only atoms and cannot be broken down into simpler substances through chemical processes. Thus, the atomic number (the number of protons in the nuclei of an atom) of a particular chemical element distinguishes from other chemical elements.
Generally, all chemical elements are denoted or represented by a symbol, which may either be single capital letter or a capital letter and a small letter.
This ultimately implies that, the symbols for elements with accepted names consist of either a single capital letter or a capital letter and a small letter. For example, the symbol for sodium is Na, copper is Cu, carbon is C, oxygen is O, iron is Fe, nitrogen is N, magnesium is Mg, potassium is K, argon is Ag, hydrogen is H, helium is He, phosphorus is P, etc.
One of the legs of a right triangle measures 15 cm and the other leg measures 6 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
16.2 cm
Step-by-step explanation:
use the pythagoran theorem
a² + b² = c²
15² + 6² = c²
225 + 36 = c²
261 = c²
Take the square root of both sides
16.1554944214 = c
Rounded
16.2 cm
. Seja (G, ·) um grupo tal que para todo x ∈ G temos x
2 = eG. Mostre
que G ´e abeliano.
Find x
Find Angle CBD
Find Angle D
Answer:
[tex]thank \: you[/tex]
Find the exact value of the following.
Find -xy, for x = -75.9 and y = 2.6.
-xy =
Answer:
197.34
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
x = -75.9
y = 2.6
-xy
Step 2: Evaluate
Substitute in variables: -(-75.9)(2.6)Multiply: (75.9)(2.6)Multiply: 197.34A laptop company claims up to 8.1 hours of wireless web usage for its newest laptop battery life. However, reviews on this laptop shows many complaints about low battery life. A survey on battery life reported by customers shows that it follows a normal distribution with mean 7.5 hours and standard deviation 27 minutes. (a) What is the probability that the battery life is at least 8.1 hours
Answer:
0.0918 = 9.18% probability that the battery life is at least 8.1 hours.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean 7.5 hours
This means that [tex]\mu = 7.5[/tex]
Standard deviation 27 minutes.
An hour has 60 minutes, which means that [tex]\sigma = \frac{27}{60} = 0.45[/tex]
What is the probability that the battery life is at least 8.1 hours?
This is 1 subtracted by the p-value of Z when X = 8.1. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{8.1 - 7.5}{0.45}[/tex]
[tex]Z = 1.33[/tex]
[tex]Z = 1.33[/tex] has a p-value of 0.9082.
1 - 0.9082 = 0.0918
0.0918 = 9.18% probability that the battery life is at least 8.1 hours.
The linear function graphed below represents Brenda’s monthly cell phone bill based on the number of hours she uses. What is her hourly rate?
Answer:
You didn't attach an image, can't exactly help. sorry!
A right cone has a radius of 5 cm and an altitude of 12 cm. Find its volume.
A)
300 cm3
B)
64.1 cm3
C)
942.5 cm3
D)
314.2 cm3
Answer:
D. V=314.2cm³
Step-by-step explanation:
The volume of the cone is:
V=pi×r²×h/3=pi×5²×12/3=100×pi=314.2cm³
Answer: D) 314.2 [tex]cm^3[/tex]
Step-by-step explanation:
The formula for finding the volume of a right cone is [tex]V=\pi r^2\frac{h}{3}[/tex]
r is the radius and h is the height/altitude.
We can sub these values in and solve
[tex]V=\pi (5^2)(\frac{12}{3} )\\V=\pi (25)(4)\\V=100\pi[/tex]
Let's sub in 3.14 for [tex]\pi[/tex] since that is a close estimate
[tex]V=(100)(3.14)\\V=314[/tex]
The volume is about 314.
Our closest answer to that is D so that is the correct choice.
what weight remains when 5/9 of a cake weighing 450 grams is eaten.
A rectangular piece of plywood 7.00 ft by 10.00 ft is cut from one comer to an opposite comer. What are the angles between the edges of the resulting pieces? Include
all resulting angles
The angle(s) is/are degrees
(Round to the nearest tenth as needed. Use a comma to separate answers as needed. Do not include the degree symbol in your answer. Type each answer only
once.)
Answer:
Step-by-step explanation:
let one angle=a°
second angle=(90-a)°
tan a=7/10=0.7
a=tan^{-1}(0.7)≈35.0°
other angle=90-35=55.0°
On a coordinate plane, a polygon has points (negative 3, 4), (3, 4), (3, negative 3), (negative 3, negative 2).
What points are the vertices of this polygon? Select all that apply.
(–3, –2)
(–2, –3)
(3, 4)
(–3, 4)
(3, 3)
(3, –3)
Answer:
(-3,-2)
(-3,4)
(3,4)
(3,-3)
Step-by-step explanation:
Answer:
cant see nun mind showing it
What is the greatest possible integer value of x for which StartRoot x minus 5 EndRoot is an imaginary number?
Answer:
The answer is 4.
Step-by-step explanation:
Edge 2021
Answer:
4
Step-by-step explanation:
EDGE2021
What is the value of x
Answer:
18°
Step-by-step explanation:
Know that the intersection of two lines and the angles opposite each other are equal
3t+12=66
Subtract 12 from both sides
3t=54
Divide 3 from both sides
t=18
Hurry which one ITS NOT 270
A.84
C.128
D.540
Answer:
84 cm^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the length of the base and h is the height
A = 1/2 ( 5+9) * 12
A = 1/2 (14) * 12
A =84
Think you can figure out the correct answer here
The answer would be 30 because the triangle is 10, the circle is 5, and each black triangle is 2 which would be 10 plus 5 which is 15 then times 2 which is 30.
Answer:
20?
Step-by-step explanation:
If 3 triangles = 30 they we could assume that each triangle = 10
10 + 10 + 10 = 30
If one triangle = 10 then the 2 circles would = 5 in the 2nd equation
10 + 5 + 5 = 20
If 1 circle = 5 then the 1 full squares would = 4
5 + 4 + 4 = 13
1 triangle = 10 , 1 circle = 5, Half a square = 2
10 + 5 * 2 = ?
Using PEMDAS we would multiply 2 and 5 first to get 10
10 + 10 = 20
If the value of a in the quadratic function f(x) = ax^2 + bx + c is -2, the function will_______.
a open down and have a minimum
b open down and have a maximum
c open up and have a maximum
d open up and have a minimum
Answer:
b open down and have a maximum
Step-by-step explanation:
A negative value for a will make the quadratic function open down
A downward facing parabola will have a maximum
For f(x) = 3x +1 and g(x) = x - 6, find (f- g)(x).
A. K - 3x-7
B. 3x - 17
c. -x + 3x + 7
D. -x + 3x - 5
SUBND
Answer:
c. -x + 3x + 7 = 2x+7
Step-by-step explanation:
f(x) = 3x +1 and g(x) = x - 6
f-g = 3x +1 - ( x - 6)
Distribute the minus sign
= 3x+1 - x+6
= 2x +7
Find the amount of money in an account after 9 years if $2,600 is deposited at 8% annual interest compounded monthly
Answer:
5328.78
Step-by-step explanation:
formula:
[tex]P(1+\frac{i}{n})^{n*t}\\2600(1+\frac{.08}{12})^{12*9}\\\\2600(1.006667)^{108}=5328.77861305[/tex]
this rounds to 5328.78
X + 3( x + 2) + 2 in the simplest form
Answer:
4x+8
Step-by-step explanation:
X + 3( x + 2) + 2
Distribute
x +3x+6+2
Combine like terms
4x+8
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]4x + 8[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying the expression:}}\\\\\underline{x+3(x+2)+2}\\\\\rightarrow x + 3x + 6 + 2\\\\\rightarrow 4x + 6 + 2\\\\\rightarrow \boxed{4x + 8}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Find the surface area of the square pyramid 8mm 6mm
Answer:
136 mm²
Step-by-step explanation:
[tex]A=a^{2} +2a\sqrt{\frac{a^{2} }{4} } +h^{2}[/tex]
[tex]A=6^{2} +2(6)\sqrt{\frac{6^{2} }{4} } +8^{2}[/tex]
[tex]A=36 +12\sqrt{\frac{36 }{4} } +64[/tex]
[tex]A=36 +12\sqrt{9 } +64[/tex]
[tex]A=36 +12(3)+64[/tex]
[tex]A=36 +36+64[/tex]
A = 136
Really struggling and stressing out. Anyone mind helping?
Answer:
it should be 314.16, so I would choose 314
convert fraction to decimal 1/5 explanation
Answer: 0.2
Step-by-step explanation:
1 divided by 5 = 0.2
Answer:
0.2
Step-by-step explanation:
1/5 = 1 divided by 5.
This will also apply to any fraction
Fraction = Numerator divided by Denominator
pls help me on this ..
Given : Scale drawing of Angel's rectangular room is 5cm by 7 cm
We know that, Area of a rectangle is given by : Length × Width
⇒ Area of Angel's rectangular room = (5 cm × 7 cm) = 35 cm²
Given : The scale is 1 cm = 4 feet
⇒ Area of Angel's rectangular room in square feet = 35 × (4 feet)²
⇒ Area of Angel's rectangular room in square feet = 35 × 16 feet²
⇒ Area of Angel's rectangular room in square feet = 560 feet²
