Answer:
Step-by-step explanation:
the lengths of the line segments
AB= 10.2 cm and Bc= 3.7 cm find the length of AC
Answer:
3.2333
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
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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Can you help<333? If not it’s gine
Answer:
It should 120 students
Step-by-step explanation:
Answer:
120 students
Step-by-step explanation:
4/7×210=120
Original remains fossils have been protected from decay by amber, permafrost, oil, and _____.
sediment
wood
weather
coal
Answer:As I know the answer is coal
Step-by-step explanation:
Please votes me 5 stars,1 hearts and mark as Brainliest for me .Thanks
Find the odd one out
1. 33
2. 57
3. 79
4. 13
5. 93
6. 52
Answer:
52
Step-by-step explanation:
All of these are odd numbers 52 isn't not a odd number so it doesn't belong...
Georgia's baby brother weighed less than 11 pounds when he was born. Which of the following could be the number of ounces Georgia's baby brother weighed? Select all that apply. Note: 1 pound = 16 ounces
Answer:
Georgia's brother > 176 Ounces
Step-by-step explanation:
He weighed LESS THAN 11 pounds, which is equal to 176 ounces. He must have weighed 175 ounces or less.
Answer:
0<x<176
Step-by-step explanation:
ALGEBRA STUFF IS ANNOYING
Answer:
A?
Step-by-step explanation:
Please help with this
Answer:
697.24 and 886.76
Step-by-step explanation:
792+.92*103= 886.76
792-.92*103= 697.24
if that's not correct try 697.76 and 886.25
How many minutes is it before 12 noon if 68 minutes ago it was three times as many minutes past 10 a.m.?
What is the y-intercept of the line graphed on the grid?
A) -1
B) 2
C) -2
D) 1
Show that: [tex]\sqrt[ab]{ \frac{ {x}^{a} }{ {x}^{b} } } . \sqrt[bc]{ \frac{ {x}^{b} }{ {x}^{c} } } . \sqrt[ca]{ \frac{ {x}^{c} }{ {x}^{a} } } = 1.[/tex]
Brainliest! Brainliest..ans.
Here we need to Prove that ,
[tex]\bf\implies \sqrt[ab]{ \frac{ {x}^{a} }{ {x}^{b} } } . \sqrt[bc]{ \frac{ {x}^{b} }{ {x}^{c} } } . \sqrt[ca]{ \frac{ {x}^{c} }{ {x}^{a} } } = 1.[/tex]
Lets start with LHS , which is ,
[tex]\bf\implies LHS = \sqrt[ab]{ \dfrac{ {x}^{a} }{ {x}^{b} } } . \sqrt[bc]{ \dfrac{ {x}^{b} }{ {x}^{c} } } . \sqrt[ca]{ \dfrac{ {x}^{c} }{ {x}^{a} } } [/tex]
We know that ,
[tex]\bf\implies \sqrt[n]{k^m }= k^{\frac{m}{n}}[/tex]
• So that ,
[tex]\bf\implies \sqrt[ab]{x^{a-b}} . \sqrt[bc]{x^{b-c}} .\sqrt[ac]{x^{c-a}} \\\\\bf\implies x^{\frac{a-b}{ab}} . x ^{\frac{b-c}{bc}} .x^{\frac{c-a}{ca}} \\\\\bf\implies x^{\frac{ ac - bc + ab - ac + bc - ba }{abc } }\\\\\bf\implies x^{\frac{0}{abc}} \\\\\bf\implies x^0 \\\\\bf\implies 1 = RHS [/tex]
Hence ,
[tex]\implies \boxed{\bf \red{ LHS = RHS }} [/tex]
[tex]\large\underline{\sf{Solution-}}[/tex]
Consider LHS:
[tex]\sf= \sqrt[\sf ab]{\dfrac{\sf x^{a}}{\sf x^{b}}}\cdot \sqrt[\sf bc]{\dfrac{\sf x^{b}}{\sf x^{c}}}\cdot \sqrt[\sf ac]{\dfrac{\sf x^{c}}{\sf x^{a}}}[/tex]
As we know that:
[tex]\sf\red\leadsto\dfrac{x^{a}}{x^{b}}=x^{a-b}[/tex]
We get:
[tex]\sf= \sqrt[\sf ab]{\sf x^{a-b}}\cdot \sqrt[\sf bc]{\sf x^{b-c}}\cdot \sqrt[\sf ac]{\sf x^{c-a}}[/tex]
We can also write it as:
[tex]\sf= x^{\dfrac{a-b}{ab}}\cdot x^{\dfrac{b-c}{bc}}\cdot x^{\dfrac{c-a}{ac}}[/tex]
We know that:
[tex]\sf \red\leadsto x^{a}\cdot x^{b}=x^{a+b}[/tex]
We get:
[tex]\sf= x^{\bigg(\dfrac{a-b}{ab}+\dfrac{b-c}{bc}+\dfrac{c-a}{ac}\bigg)}[/tex]
[tex]\sf= x^{\bigg(\dfrac{c(a-b)+a(b-c)+b(c-a)}{abc}\bigg)}[/tex]
[tex]\sf= x^{\bigg(\dfrac{ac-bc+ab-ac+bc-ab}{abc}\bigg)}[/tex]
[tex]\sf= x^{\bigg(\dfrac{0}{abc}\bigg)}[/tex]
[tex]\sf= x^{0}[/tex]
[tex]\sf=1[/tex]
[tex]\textsf{= RHS}\\[/tex]
2n + 5 = n - 5
Find the number that n is
And please explain :)
Answer:
-10
Step-by-step explanation:
Answer the question below, and then fill in the blanks if necessary.
Can the distributive property be used to rewrite
3 + (8 + 4) ?
Answer:
acoording to the picture given, it is possible be cause there is a multiplication operation before the parenthesis.
Step-by-step explanation:
distribut the 3 to each number in the parenthesis:
(3 * 8) + (3 * 4) = 24 + 12 = 36
thanks for the answer
Answer:
there's no questions haha, ty sa points
Answer:can you plz give us the question
Step-by-step explanation:
plz mark brainliest i need 5 of them
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 childrenAmong 690 adults selected randomly from among the residents of one town, 23.5% said that they favor stronger gun-control laws. Group of answer choices 162 161 163 160
Answer:
It would be 162
Step-by-step explanation:
690 x 0.235 = 162.15 which rounds to 162
Can an octagon have angles that measure 110°, 75°, 55°, 130°, 145°, 70°, 125°, and 70°?
Answer: 2.03
Step-by-step explanation:
Use the spinner below to find the probability of getting the following after 1 spin
Answer:
.0833 or 83.3333
Step-by-step explanation:
1/12=.0833
The probability of number greater than [tex]12[/tex] is zero.
What is probability ?Probability is the ratio of number of favorable outcome to the total number of outcome.
We have,
Total number of outcome [tex]=12[/tex]
And number of greater than [tex]12[/tex] [tex]=0[/tex]
So,
Probability [tex]=\frac{Number\ > \ 12}{Total\ number}[/tex]
[tex]=\frac{0}{12}[/tex]
Probability [tex]=0[/tex]
A probability of [tex]0[/tex] means that the event will not happen.
Hence, we can say that the probability of number of greater than [tex]12[/tex] is zero.
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In the equation x² + 18x + 81 = 0, the roots are?
Answer:
x = (-9)Step-by-step explanation:
x^2 + 18x + 81 = 0
x^2 + 9x + 9x + 81 = 0
x(x+9) + 9(x+9) = 0
(x + 9)(x + 9) = 0
(x + 9) = 0
x + 9 = 0
x = 0 - 9
x = -9Re-write the quadratic function below in Standard Form
y = -(x - 1)^2 + 4
Answer:
2 2 y = a x 2 + b x + c ; a ≠ 0 2
Step-by-step explanation:
Complete the equation _,287x6=25,_ 2_
Answer:
4,287 x 6 = 25,722
.......
Bailey wants to find 0.4 × 0.9. Part A Which of the following grids models the problem? A. Hundred grid. Four grid blocks shaded horizontally and nine grid blocks shaded vertically. The intersection is one grid block. B. Hundred grid. Four columns shaded vertically and nine rows shaded horizontally. The intersection is 36 grid blocks. C. Hundred grid. Six columns shaded vertically and one row shaded horizontally. The intersection is 6 grid blocks. D. Hundred grid. Eight columns shaded vertically and three rows shaded horizontally. The intersection is 24 grid blocks.
Answer:
B
Step-by-step explanation:
It seems like the answer would be B since 0.4 x 0.9 = 0.36 and the intersection for answer choice B is 36 grid blocks.
The correct equation of the given grids models the problem is,
⇒ Hundred grid. Four columns shaded vertically and nine rows shaded horizontally. The intersection is 36 grid blocks.
Option B is true.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Bailey wants to find the value of 0.4 × 0.9.
Now,
After multiplication, we get;
⇒ 0.4 × 0.9
⇒ 0.36
Hence, By all the options;
The correct equation of the given grids models the problem is,
⇒ Hundred grid. Four columns shaded vertically and nine rows shaded horizontally. The intersection is 36 grid blocks.
Option B is true.
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Estimate and solve 3,836 ÷ 63
Answer:
estimating it's 548/9
Step-by-step explanation:
If f ( x ) is a linear function, f ( − 1 ) = 2 , and f ( 5 ) = − 5 , find an equation for f ( x ) . f ( x ) =__
show your work!
Step-by-step explanation:
Let's first find the slope
(-5-2)/(5--1) = -7/6
the equation should be
[tex]y = \frac{ - 7}{6} x + c[/tex]
To find c, we replace X with -1 and Y with 2
c= 5/6
So the equation is
[tex]y = \frac{ - 7}{6} x + \frac{5}{6} [/tex]
And if you multiply everything by 6 you get
6y = -7x +5
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
Miriam wants to buy a pair of inline skates. One store is selling the skates Miriam wants at 15% off the regular price of $149.95. Another store is selling the skates for $139.95, with 10% off. Which store has the better price?
Answer:
I think the second one. I'm not quite sure tho. Hope this helps:)
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.
The table below represents an exponential function of the form y = a . b^x
Complete the table and find the equation. Write all your numerical answers in
Fraction form.
What is the value of a?
What is the value of b?
Answer:
Step-by-step explanation:
If one of the data points has the form (0,a)
, then a is the initial value. Using a, substitute the second point into the equatio f(x)=a(b)x, and solve for b.If neither of the data points have the form (0,a)
, substitute both points into two equations with the form f(x)=a(b)x Solve the resulting system of two equations in two unknowns to find a and b.Using the a and b found in the steps above, write the exponential function in the form f(x)=a(b)x.
Given that the function graphed is ƒ(x), what is ƒ(1)?
A) −2
B) −1
C) 1
D) 2
Answer: -2
Step-by-step explanation: