Answer:
40,000
Step-by-step explanation:
According to a 2014 Pew Research poll, 58% of Americans believe in Hell. Suppose a random sample of 100 Americans is obtained and the number of Americans who believe in Hell is recorded. Can this binomial experiment be approximated using a normal distribution? Be sure to demonstrate your conclusion numerically.
Testing the conditions, we get that [tex]np = 58 \geq 10[/tex] and [tex]n(1 - p) = 42 \geq 10[/tex], thus, this binomial experiment can be approximated using a normal distribution.
For each person sampled, there are only two possible outcomes. Either they believe in Hell, or they do not. The probability of a person believing in hell is independent of any other person, which means that the binomial distribution is used to solve this question.
Binomial distribution:
Probability of x successes on n trials, with p probability.
If [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex], it can be approximated to the normal distribution.
In this problem:
Sample of size 100, thus [tex]n = 100[/tex].58% believe in Hell, thus [tex]p = 0.58[/tex].Then
[tex]np = 100(0.58) = 58 \geq 10[/tex]
[tex]n(1 - p) = 100(0.42) = 42 \geq 10[/tex]
[tex]np = 58 \geq 10[/tex] and [tex]n(1 - p) = 42 \geq 10[/tex], thus, this binomial experiment can be approximated using a normal distribution.
A similar problem is given at https://brainly.com/question/24261244
Find YZ and XY so I can put em in the boxes :)
Answer:
........................
How do you write 3.707 x 10-8^-8 in standard form? ASAP BRAINLIST
Given that [tex]I_0 = 10^-12[/tex] watts/[tex]meters^2[/tex], what is the intensity of a sound for which the decibel level of the sound measures 156? Round off your answer to three decimal places.
The intensity of sound which the decibel level of the sound measures 156 is 3.981 × 10³ W/m²
Decibel level, dB = 10log₁₀(I/I₀) where dB = decibel level = 156, I = intensity at 156 dB and I₀ = 10⁻¹² W/m².
Since we require I, making I subject of the formula, we have
dB/10 = log₁₀(I/I₀)
[tex]\frac{I}{I_{0} } = 10^{\frac{dB}{10} } \\I = I_{0} 10^{\frac{dB}{10} }[/tex]
Substituting the values of the variables into the equation, we have
[tex]I = I_{0} 10^{\frac{dB}{10} }\\I = 10^{-12} 10^{\frac{156}{10} }\\I = 10^{-12} 10^{15.6}\\I = 10^{15.6-12} \\I = 10^{3.6} W/m^{2}[/tex]
I = 3981.072W/m²
I = 3.981 × 10³ W/m²
So, the intensity of sound which the decibel level of the sound measures 156 is 3.981 × 10³ W/m²
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Find the slope between these two points:
(4,7).(-6, -4)
Answer:
1.1
Step-by-step explanation:
slope = (-4-7)/(-6-4)= -11/-10 = 1.1
Find the angles marked x,y and z.
ASAP
Answer:
x= 45°
y= 95°
z= 85°
hope this helps <3
Answer:
Step-by-step explanation:
x= 50
y+25=180(because it is on a straight line)
y+25=180
y+25=180
y+25-25= 180-25
y+0= 155
y= 155
z+ y=180
z+ 155= 180
z+ 155- 155 =180-155
z+ 0 = 25
z = 25
x = 50
y = 155
z = 25
Simplify the variable expression by evaluating its numerical part, and enter your answer below.
(13 - 6) • w
Answer:
7w
Step-by-step explanation:
Simplify the parenthesis first
(13-6)=7
Then multiply by the w
7*w=7w
(13-6)*w=7w
* Can be rewritten as (13-6)w or w(13-6) or w*(13-6).
Identify the angles that each have a measure of 60\degree
Answer:
parrelel
Step-by-step explanation:
Diane took a loan out for $3000 for 11 months and was charged a simple interest. The total interest she paid was $253. What’s her interest rate
Answer:
$300
Step-by-step explanation:
Diane's interest rate on the loan is approximately 8.43%.
Let's determine Diane's interest rate step by step.
1. First, we need to understand the formula for simple interest:
Simple Interest (SI) = Principal (P) × Rate (R) × Time (T)
where:
P = Principal amount (initial loan amount)
R = Interest rate (unknown, what we want to find)
T = Time period in years
2. We have the following information from the problem:
P = $3000 (Principal amount)
SI = $253 (Total interest paid)
T = 11 months
3. However, to use the formula, we need to convert the time from months to years. Since 1 year has 12 months, we can write:
T = 11 months ÷ 12 months/year
≈ 0.917 years
4. Now, let's rearrange the formula to solve for the interest rate (R):
R = SI / (P × T)
Substituting the given values:
R = $253 / ($3000 × 0.917) ≈ 0.0925
5. Finally, we need to convert the interest rate from a decimal to a percentage:
R = 0.0925 × 100 ≈ 8.43%
So, Diane's interest rate on the loan is approximately 8.43%.
In summary, to find the interest rate, we used the simple interest formula and rearranged it to solve for the rate. We converted the time from months to years before calculating the interest rate. The result is approximately 8.43% interest rate, indicating the percentage of the principal that Diane had to pay as interest over 11 months.
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#SPJ2
Estimate and solve 3,836 ÷ 63
Answer:
estimating it's 548/9
Step-by-step explanation:
For the following exercises, find dy/dx for each function:
[tex]y= 1 / sin^2(x)[/tex]
Answer:
-2csc^2(x)cot(x)
Step-by-step explanation:
by derivative sin^-2(x)
Use finite approximation to estimate the area under the graph of f(x) = 5^2 and above the graph of f(x) = 0 from X(o) = 0 to x(n )= 14 using b) a lower sum with two rectangles of equal width. in) a lower sum with four rectangles of equal width. in) an upper sum with two rectangles of equal width. iv) an upper sum with four rectangles of equal width.
Finite approximation method of estimating the area under the curve of the
given function makes use of rectangular approximation of the area.
The correct responses are;
i) The estimated area using a lower sum with two rectangles of equal width is 1,715 square units.
ii) The estimated area using a lower sum with four rectangles of equal width is 3,001.25 square units.
iii) The estimated area using an upper sum with two rectangles of equal width is 8,575 square units.
iv) The estimated area using a upper sum with four rectangles of equal width is 6,431.25 square units.
Reasons:
The given function is f(x) = 5·x²
The given domain is x₀ to x₁₄
i) Estimate using lower sum with two rectangles of equal width;
[tex]Let \ \Delta x = \dfrac{14}{2} = 7 \ we \ get;[/tex]
f(0) = 0
f(7) = 5 × 7² = 245
A = 0 × 7 + 245 × 7 = 1,715
The estimated area using a lower sum with two rectangles of equal width
is 1,715 square units.
ii) Estimate using lower sum with four rectangles of equal width;
[tex]Let \ \Delta x = \dfrac{14}{4} = 3.5 \ we \ get;[/tex]
f(0) = 0
f(3.5) = 5 × 3.5² = 61.25
f(7) = 5 × 7² = 245
f(10.5) = 5 × 10.5² = 551.25
A = 0 × 3.5 + 61.25 × 3.5 + 245 × 3.5 + 551.25 × 3.5 = 3,001.25
The estimated area using a lower sum with four rectangles of equal width is 3,001.25 square units.
iii) Estimate using an upper sum with two rectangles of equal width;
[tex]Let \ \Delta x = \dfrac{14}{2} = 7 \ we \ get;[/tex]
f(7) = 5 × 7² = 245
f(14) = 5 × 14² = 980
A = 245 × 7 + 980 × 7 = 8575
The estimated area using an upper sum with two rectangles of equal width
is 8,575 square units.
iv) Estimate using an upper sum with four rectangles of equal width;
[tex]Let \ \Delta x = \dfrac{14}{4} = 3.5 \ we \ get;[/tex]
f(3.5) = 5 × 3.5² = 61.25
f(7) = 5 × 7² = 245
f(10.5) = 5 × 10.5² = 551.25
f(14) = 5 × 14² = 980
A = 61.25 × 3.5 + 245 × 3.5 + 551.25 × 3.5 + 980 × 3.5 = 6,431.25
The estimated area using a upper sum with four rectangles of equal width
is 6,431.25 square units.
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If 6 things cost $1000, how much does 1 cost?
Answer:
$166.66
Step-by-step explanation:
if 6 items =$1000
1 item= ?
1item×$1000/6items
=$166.66
If you can help please and thanks
Answer:
Cost of each pendant = $2.80
Step-by-step explanation:
Since we're given information regarding the total cost of beads, $13.20, and the total cost of beads and pendants for all 4 necklaces, $24.40:
Let b = beads
p = pendants
C = total cost of beads and pendants for all 4 necklaces.
b + p = C
$13.20 + p = $24.40
$13.20 - $13.20 + p = $24.40 - $13.20
p = $11.20 (This represents the total cost of 4 pendants).
To find out the cost of each pendant, divide $11.20 by 4:
$11.20 ÷ 4 = $2.80
Therefore, the cost of each pendant is $2.80.
Answer:
I'm 50% sure it's $7.52 though I may be wrong
What is the value of 7x (3 + x/4) when x= −8?
A −280
B −170
C −56
D 280
PLEASE HELP ME
Answer:
-56
Step-by-step explanation:
Equation = 7x( 3 + x/4)
f(x) = 7x( 3 + x/4)
f(-8) = 7( -8 )( 3+ -8/4 )
f(-8) = -56 ( 3+ ( - 2 ))
f(-8) = -56( 1 )
f(-8) = -56
-Chetan K
If y varies directly with x and y = 6 when x = 2, what is the constant of variation, k? a. 12 c. 3 b. 2 d. 4 Please select the best answer from the choices provided A B C D
help with question 4 please
Answer:
dont know
Step-by-step explanation:
sorry
Write the expression in rational exponent form.[tex](\sqrt[4]{x}+5)^{3}[/tex]
[tex] = \: \: \: \sqrt[4]{ {x}^{3} + 15 \sqrt{x} + 75 \sqrt[4]{x} + 125 } [/tex]
hope it helps
see the attachment
12. Una notaría cobra $3500 por elaborar un título de propiedad y $2000 por el acta constitu-
tiva de una empresa. En un mes realizó un total de 22 operaciones, entre títulos y actas que
representaron un ingreso total de $53000. ¿Cuántos títulos y actas se elaboraron?
Usando un sistema de ecuaciones, hay que se elaboraron 6 títulos y 16 actas.
Para el sistema, hay que:
x es el número de títulos elaborados.y es el número de actas elaboradas.Total de 22 operaciones, o sea:
[tex]x + y = 22[/tex]
$3500 por elaborar un título de propiedad y $2000 por el acta constitutiva de una empresa. Ingreso total de $53000, o sea:
[tex]3500x + 2000y = 53000[/tex]
De el primer ecuación:
[tex]y = 22 - x[/tex]
Reemplazando en la segunda:
[tex]3500x + 2000y = 53000[/tex]
[tex]3500x + 2000(22 - x) = 53000[/tex]
[tex]1500x = 9000[/tex]
[tex]x = \frac{9000}{1500}[/tex]
[tex]x = 6[/tex]
[tex]y = 22 - x = 22 - 6 = 16[/tex]
Se elaboraron 6 títulos y 16 actas.
Un problema similar es dado en https://brainly.com/question/24646137
Look at the graph below.
What is the slope of the line?
OA. 5
OB. -5
oc. 1
OD. -
The number of children at the library was 3 times the number adults. The total number of people at the library was 48. How many children were at the library
A 12
B 24
C 32
D 36
Answer:
D 36
Step-by-step explanation:
Write the information algebraically
c = 3a
c + a = 48
c = children, a = adults
In the second sentence (in bold), we can replace c with 3a
c + a = 48 → 3a + a = 48
Simplify
3a + a = 48 → 4a = 48 → a = 12 (divide both sides by 4)
We can then substitute or plug in a = 12 into the original equation:
c + a = 48 → c + 12 = 48 → c = 36 (subtract 12 from both sides)
There are 36 childrenA
E
40 - 200
Z
2
What is 1/2•40•200?
Answer:
4000
Step-by-step explanation:
1/2 · 40 · 200 = 20 · 20020 · 200 = 40004000Therefore, the answer is 4000.
What two numbers multiply to 10 and add to 9
I'm not sure how I can find my answer, any help?
Answer:
The next number would be 3
Step-by-step explanation:
As you can see its a repeating pattern of "1739"
Answer:
3
Step-by-step explanation:
1 7 3 9 1 7 3 9 1 7 3 9 1 7 3 9 ...
Write an equation in slope intercept form for a
line that passes through (8,-3) and has a slope
of
2/3
9514 1404 393
Answer:
y = 2/3x -25/3
Step-by-step explanation:
The slope-intercept form of the equation for a line is ...
y = mx +b . . . . . . for slope m and y-intercept b
Solving for b gives ...
b = y -mx
Using the given values for x, y, and m, we find the intercept to be ...
b = -3 -2/3(8) = (-9 -16)/3 = -25/3
Then the equation of the line is ...
y = 2/3x -25/3
math
what at is -4/5 divided by 5/6
Answer:
-24/25
Step-by-step explanation:
-4/5 ÷ 5/6
To divide fractions, use KFC:
Keep the first fraction the sameFlip the second fractionChange the sign from ÷ to ×-4/5 ÷ 5/6 would become -4/5 × 6/5 which is -24/25
Hope this helps!
Answer:
-24/25
Step-by-step explanation:
First you keep the first fraction and then you change the division sign to multiplication, then change the second fraction
4/5 time 6/5 and you can’t simplify so -24/25 is your answer.
heyyy if you tell me the correct answer I’ll give you’re answer a 5 thanks and brainlest please hurry
Answer:
29in
pls give brainliest tq
have a great day
5+5+5+5+2454+76492+69238120+65928
Answer:
5 + 5 + 5 + 5 + 2454 + 76492 + 69238120 + 65928 = 69383014
Step-by-step explanation:
69383014 is the answer, I used a calculator
Please let me know if Im incorrect
Answer:
5+5+5+5+2454+76492+69238120+65928=69383014
per
A man deposited $80,000.00 in
bank at a 12% compound interest
annum. How much did the man have
in the bank at the second year?
e
Using the compound interest formula, the amount of money in the man's bank account in the second year is $100352
The compound interest relationship is computed using the relation :
Final amount = P(1 + r)^tP = principal ; r = interest rate ; t = periodPlugging the values into the formula :
Final amount = 80000(1 + 12%)²
Final amount = 80000(1 + 0.12)²
Final amount = 80000(1.12)²
Final amount = $100352
Therefore, the final amount in the second year is $100352
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0.54 + 0.27 = ___
0.71
0.81
0.92
0.98
Answer:
0.81
Step-by-step explanation:
hopes that helps.......
