Answer:
1.35%
Step-by-step explanation:
Suppose that IQ scores have a bell-shaped distribution with a mean of 104 and a standard deviation of 15. Using the empirical rule, what ? Please do not round your answer.
Empirical rule formula states that:
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .
We don't know the number of Standard deviation yet , hence:
Mean = 104
Standard deviation = 15.
At least 59
Hence:
104 - 15x = 59
104 - 59 = 15x
45 = 15x
x = 45/15
x = 3
Hence, At least 59 is 3 standard deviations away from the mean on one side of the distribution thus,
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .
100% - 99.7%
= 0.003
Since it is on one side of the distribution:
= 1.5% - 0.3%
= 0.015 - 0.0015
= 0.00135
Converting to percentage
= 1.35%
The percentage of IQ scores that are at least 59 is 1.35%
Find the Derivative.
f(x) = -xcos3x
Answer:
[tex]\frac{d}{dx}(-xcos3x)= 3x \ sin(3x)- cos(3x)[/tex]
Step-by-step explanation:
Use the Product Rule for derivatives, which states that:
[tex]\frac{d}{dx} =[f(x)g(x)]= f(x)g'(x)+f'(x)g(x)[/tex]In the function we are given, [tex]f(x)=-x \cos3x[/tex], we can break it up into two factors: -x is being multiplied by cos3x.
Now, we have the factors:
[tex]-x \\ $cos 3x[/tex]Before using the product rule, let's find the derivative of cos3x using the chain rule and the power rule.
[tex]\frac{d}{dx}(cos3x)= \frac{d}{dx} (cos3x) \times \frac{d}{dx} (3x) \\ \frac{d}{dx}(cos3x)= (-sin3x) \times 3 \\ \frac{d}{dx} (cos3x) = -3sin(3x)[/tex]Now let's apply the product rule to f(x) = -xcos3x.
[tex]\frac{d}{dx}(-xcos3x)= (-x)(-3sin3x) + (-1)(cos3x)[/tex]Simplify this equation.
[tex]\frac{d}{dx}(-xcos3x)= (x)(3sin3x) - (cos3x)[/tex]Multiply x and 3 together and remove the parentheses.
[tex]\frac{d}{dx}(-xcos3x)= 3x \ sin(3x)- cos(3x)[/tex]Therefore, this is the derivative of the function [tex]f(x)=-xcos3x[/tex].
Hi there!
[tex]\large\boxed{f'(x) = -cos3x + 3xsin3x}[/tex]
[tex]f(x) = -xcox3x\\\\\text{Use the product rule and chain rule to solve for the derivative:}\\\\\frac{dy}{dx}= -cos3x + (-x * (-sin3x) * 3)\\\\= -cos3x + 3xsin3x[/tex]
I did a little bit but i need help
Answer:
Input is the number in the first column of the table. This is the number that you start with to follow the rule if the rule is given. You would also use this number to figure out what the rule is if it is not given.
Step-by-step explanation:
An input-output table, like the one shown below, can be used to represent a function. Each pair of numbers in the table is related by the same function rule. That rule is: multiply each input number (\begin{align*}x\end{align*}-value) by 3 to find each output number (\begin{align*}y\end{align*}-value).
Question is in picture
Answer:
I don't understand what should i answer.
The only thing I undrestood was that this is a relation which can be a function.
Convert 3207 nine to a numeral in base ten.
Can u help me please
slope = -2
y intercept = 6
=====================================================
Explanation:
Let's find the slope
m = (y2-y1)/(x2-x1)
m = (2-4)/(2-1)
m = -2/1
m = -2
The slope is -2
Let's use this slope along with the first point to get the y intercept
y = mx+b
y = -2x+b ... plug in the slope we found earlier
4 = -2*1+b ... plug in the coordinates of the point (1,4)
4 = -2+b
4+2 = -2+b+2 .... adding 2 to both sides
6 = b
b = 6
The y intercept is 6
The equation y = mx+b turns into y = -2x+6 since m = -2 is the slope and b = 6 is the y intercept.
Convert 0.14 to a fraction. Reduce the fraction to its lowest terms
Answer:
7/50
Step-by-step explanation:
7/50 is the reduced fraction form of 0.14.
PLEASE HELP ILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
1. Yes
2.No
3. No
4. No
To be a function, the x axis can only be used once so it will pass the vertical line test.
2x - 7y - 2x – 3y simplify as far as possible
Answer:
its 10y
Step-by-step explanation:
hope this helps (*^▽^*)
Answer: -10y
Step-by-step explanation: [tex]2x-7y-2x-3y\\-7y-3y[/tex]
When 6 is added to a number and the sum is divided by three, the result is four. Write this statement as an equation.
Answer:
6 + x / 3 = 4
Step-by-step explanation:
sorry if this is wrong, i believe this is how it needed to be written!
PLEASE I NEED HELP ASAP
D=
E=
F=
Answer:
d=90 e=27 f=153
Step-by-step explanation:
since 90 is one half of 180 if d was any bigger or smaller the the information given would be incorrect.
e is 27 since vertical angles
f is 157 since a line is equal to 180 and since e is 27 you subtract 27 from 180
What is the absolute value of 2 - 9i ?
Help me out
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Absolute value.
so we get as,
let, y = 2 - 9i
so the absolute value is |y|
[tex] |y| = \sqrt{ {2}^{2} + {9}^{2} } [/tex]
so we get as,
|y| =
[tex] \sqrt{81 + 4} = \sqrt{85} [/tex]
so the absolute value is
[tex] \sqrt{85} [/tex]
10. Mike bought five items for lunch that cost a total of $4.55. Hot dogs cost $1.10 each
and cookies cost $0.75 each. Which of these systems of equations below could be
used to determine h, the number of hot dogs, and c, the number of cookies, Mike
bought for lunch?
Answer:
alexa i need it 2 did u find the answer
Step-by-step explanation:
hello from 8th period kk12 is so hard lol
A. Mojo the monkey has 2 whole bananas and 5 half bananas. Write a mixed number to show how many bananas Mojo has.
B. Manny the monkey has 4 whole bananas and 1 half banana. Do Mojo and Manny have the same amount of bananas? Explain how you know.
C. Marcus the monkey has the same amount of bananas as Mojo. He only has half bananas. How many half bananas does he have? Explain your answer. Please Help!
Answer: A= 4.5 B=no C= 4.5
Step-by-step explanation:
You measure 41 textbooks' weights, and find they have a mean weight of 30 ounces. Assume the population standard deviation is 12.3 ounces. Based on this, construct a 93% confidence interval for the true population mean textbook weight. Round z-values to 2 decimal places; round t-values to 3 decimal places. Round final answers to 2 decimal places.
Answer:
The 93% confidence interval is [tex] 26.52 < \mu < 33.48 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 41
The mean is [tex]\= x = 30[/tex]
The standard deviation is [tex]\sigma = 12.3[/tex]
From the question we are told the confidence level is 93% , hence the level of significance is
[tex]\alpha = (100 - 93 ) \%[/tex]
=> [tex]\alpha = 0.07[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.81[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.812 * \frac{12.3}{\sqrt{41} }[/tex]
=> [tex]E = 3.48 [/tex]
Generally 93% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex] 30 -3.48 < \mu < 30 + 3.48 [/tex]
=> [tex] 26.52 < \mu < 33.48 [/tex]
The Grand Canyon Skywalk at Eagle Point is a horseshoe shaped steel frame with a glass floor looking down to the Grand Canyon below. The Skywalk extends 70 feet over the canyon rim and is 10 feet wide. The walkway consists of a semicircle with a straight portion on each side as indicated in the diagram below. How many square feet of glass are needed to cover the Skywalk floor? (Round your final answer to 1 decimal place and any intermediate calculations to 2 decimal places. Be sure to include units.)
Answer: It will be needed 864 square feet of glass to cover the Skywalk floor.
Step-by-step explanation: The figure below shows the area in question.
Area of a circle is given by
[tex]A=\pi.r^{2}[/tex]
The walkway is a semicircle. Then, area will be:
[tex]A=\frac{\pi.r^{2}}{2}[/tex]
The area that will be covered with glass is the area between the outer and the inner circles. So, area is
[tex]A_{t}=A_{outer}-A_{inner}[/tex]
[tex]A_{t}=\frac{\pi.r_{o}^{2}}{2}- \frac{\pi.r_{i}^{2}}{2}[/tex]
[tex]A_{t}=\frac{\pi}{2}(32.5^{2}-22.5^{2})[/tex]
[tex]A_{t}=\frac{\pi}{2}(550)[/tex]
[tex]A_{t}=[/tex] 864
To cover the Skywalk floor is needed 864[tex]ft^{2}[/tex] of glass.
3.3 = ? as a friction
Answer:
33/10
Step-by-step explanation:
I used a calculator sorry if I am wrong
Answer:
3 3/10.
Step-by-step explanation:
The first 3 is a whole number because it is to the left of the decimal point, and it represents 3 ''ones''.
What’s the answer? Also, anyone know or care to explain how to use fraction bars like this? Thanks
Answer:
can't see full thing dhbsvshshzhd
Pls help me I only have 45 min and am stuck on this question?!
At 6 am the temperature was -5°F. By noon the temperature had increased 12°. What was the temperature at noon?
Answer:
7°
Step-by-step explanation:
If the temperature was -5 and it increased by negative 12, it's asking you to add -5 and 12
-5+12=7
Pryce Company owns equipment that cost $65,000 when purchased on January 1, 2012. It has been depreciated using the straight-line method based on an estimated salvage value of $5,000 and an estimated useful life of 5 years. InstructionsPrepare Pryce Company's journal entries to record the sale of the equipment in these four independent situations. (a) Sold for $31,000 on January 1, 2015. (b) Sold for $31,000 on May 1, 2015. (c) Sold for $11,000 on January 1, 2015. (d) Sold for $11,000 on October 1, 2015
If Pryce Company owns equipment that cost $65,000 when purchased on January 1, 2012. It has been depreciated using the straight-line method based on an estimated salvage value of $5,000 and an estimated useful life of 5 years. Prepare Pryce Company's journal entries to record the sale of the equipment in these four independent situations.
Pryce Company's journal entries
(a) Sold for $31,000 on January 1, 2015
Jan 1, 2015
Debit Cash $31,000
Debit Accumulated Depreciation- Equipment $36,000
[($65,000-$5,000)/5 × 3]
Credit Equipment $65,000
Credit Gain on sale of Equipment $2,000
($31,000+$36,000-$65,000)
(To record sales of equipment)
(b) Sold for $31,000 on May 1, 2015
May 1, 2015
Debit Depreciation Expense $4,000
Credit Accumulated Depreciation- Equipment $4,000
[($65,000-$5,000)/5 × 4/12]
(To record depreciation expense)
May 1, 2015
Debit Cash $31,000
Debit Accumulated Depreciation- Equipment $40,000
($36,000+$4,000)
Credit Equipment $65,000
Credit Gain on sale of Equipment $6,000
($31,000+$40,000-$65,000)
(To record sale of equipment)
(c) Sold for $11,000 on January 1, 2015
Jan 1, 2015
Debit Cash $11,000
Debit Accumulated Depreciation- Equipment $36,000
[($65,000-$5,000)/5 × 3]
Debit Loss on sale of Equipment $18,000
($65,000-$11,000-$36,000)
Credit Equipment $65,000
(To record sales of equipment)
(d) Sold for $11,000 on October 1, 2015
Oct 1, 2015
Debit Depreciation Expense $9,000
Credit Accumulated Depreciation- Equipment $9,000
[($65,000-$5,000)/5 × 9/12]
(To record depreciation expense)
Oct 1, 2015
Debit Cash $11,000
Debit Accumulated Depreciation- Equipment $45,000
($36,000+$9,000)
Debit Loss on sale of Equipment $9,000
($65,000-$11,000-$45,000)
Credit Equipment $65,000
(To record sales of equipment)
Learn more here:
https://brainly.com/question/23722861
pls help i need help pls help
Answer:
on what jsoshshsisshsushshdu?
OK THIS IS MY LAST QUESTION PLS HELP I NEED TO GET THIS CORRECT
Answer: Quad IV
Step-by-step explanation:
Explain-Carmen is making homemade root beer for an upcoming charity fundraiser.
If Carmen uses 12 pounds of dry ice she will need to use 8 ounces of root beer
extract.
1. Write a ratio/proportional constant for number of pounds to number of ounces
of root beer extract.
Answer:
1.5lb/ounces
Step-by-step explanation:
Given:
Mass of dry ice Carmen uses = 12lb
Mass of root beet = 8ounces
Unknown:
Ratio/Proportional constant for number of pounds to number of ounces of root beer extract = ?
Solution:
To solve this problem,
Ratio = [tex]\frac{number of pounds of dry ice}{Ounce of root beer}[/tex]
Ratio = [tex]\frac{12lb}{8ounces}[/tex] = 1.5lb/ounces
the base and exponent of (3.5)^5
with explain
Step-by-step explanation:
The base is 3.5 because it is the one being multiplied to itself for 5 times.
5 is the exponent because it tells us that we have to multiply 3.5 to itself 5 times.
HAHAHAHA hope it helps
What are the x and y intercepts
Answer:
x=6
y=-6
Step-by-step explanation:
Please help first person who helps me gets Brainliset best answer gets it so pls help me plssssSSSSSS
Answer: 280
Step-by-step explanation:
4200/60 = 70
70*4 = 280
If f(x)=3-2x and g(x)=1/x+5, what is the value of (f/g)(8)?
Answer:
The answer is -9
Step-by-step explanation:
First we have to find the value for g(8) so that we can plug its solution into f(x).
So...
[tex]\frac{1}{8}[/tex](8) + 5
1 + 5
6
So now we plug in 6 into f(x) since 6 was our solution to g(x)
3 - 2(6)
3 - 12
-9
Mrs. Strickland's famous peanut butter cookies call for 1 cup of peanut butter for every 1/2 of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?
Answer:
i swear the audacity of todays youth...
Step-by-step explanation:
Please do your math if you need to ask for an answer on here, but here it is
Ratio - 1:1/2
Big batch 1 cup of oil, refer back to our ratio.
2 cups of peanut butter and 1 cup of oil 2:1
Answer is 2:1
please please do your math and get smarter.
Answer:
the anwser is 2
Step-by-step explanation:
Find the ratio of peanut butter to oil. Divide 1 cup of peanut butter by
1
2
of a cup of oil.
To divide by
1
2
, multiply by its reciprocal, 2.
1÷
1
2
= 12
= 2
Mrs. Mills uses 2 cups of peanut butter per cup of oil. So, Mrs. Mills should use 2 cups of peanut butter with 1 cup of oil.
-8.3=d+4.7 due today need help
Answer:
d = -13
Step-by-step explanation:
Subtract 4.7 from both sides to get d by itself
-13 = d
Answer:
-13
Step-by-step explanation:
Subtract the total (-8.3) by the number that we know (4.7), to get -13 as the answer for the value of D.
(We can clarify by doing -13+4.7=-8.3)
The school that Adam goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 5 senior citizen tickets and 15 student tickets for a total of $137.50. The school took in $430 on the second day by selling 20 senior citizen tickets and 44 student tickets. Find the price of a student ticket.
Answer:
Let the price of one senior citizen ticket be sc and the price of one student ticket be st.
Let's write equations using the information given and the variables above:
=> 5sc + 15st = $137.50
=> 20sc + 44st = $430
Hmm.. We can multiply 5sc by 4 to get 20sc.
=> 4(5sc) + 4(15st) = 4($137.50)
=> 20sc + 60st = $550
Now we can subtract the second equation from the first to determine the price of a student ticket.
20sc + 60st = $550
- 20sc + 44st = $430
=> 16st = $120
=> st = $7.5
So, the price of a student ticket is $7.5.
List the sides of each triangle in order form shortest to longest.
Answer:
1. segments Q,R
2. segments R,S
3. segments Q,S
Step-by-step explanation: