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 percentage of IQ scores are at least 59? Please do not round your answer.

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:

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:

Before using the product rule, let's find the derivative of cos3x using the chain rule and the power rule.

Now let's apply the product rule to f(x) = -xcos3x.

Simplify this equation.

Multiply x and 3 together and remove the parentheses.

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]

[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]

Answer:

6 + x / 3 = 4

Step-by-step explanation:

sorry if this is wrong, i believe this is how it needed to be written!

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]

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).

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.

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

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.

Answer: Quad IV

Step-by-step explanation:

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

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)

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

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.

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

Answer:

1. segments Q,R

2. segments R,S

3. segments Q,S

Step-by-step explanation:

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.

Answer:

7/50

Step-by-step explanation:

7/50 is the reduced fraction form of 0.14.

Answer:

its 10y

Step-by-step explanation:

hope this helps (*^▽^*)

Answer: -10y

Step-by-step explanation: [tex]2x-7y-2x-3y\\-7y-3y[/tex]

Answer:

can't see full thing dhbsvshshzhd

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.

Answer:

on what jsoshshsisshsushshdu?

Answer: 280

Step-by-step explanation:

4200/60 = 70

70*4 = 280

Answer:

alexa i need it 2 did u find the answer

Step-by-step explanation:

hello from 8th period kk12 is so hard lol

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''.

Answer:

x=6

y=-6

Step-by-step explanation:

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

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

Answer: A= 4.5 B=no C= 4.5

Step-by-step explanation:

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.