3 times the sum of 1/3 of
a number and 8 is 11

Answer:

10.17

Step-by-step explanation:

To find the answer the this question we must divide "468" by "46". We then get the answer 10.173913....... I rounded it to the hundredths place.

Answer:

hello attached below is the required table that is missing and the completed table as well

A) mean deviation = 0.1645

B) 2/3

Step-by-step explanation:

From the table we calculated the midpoint value (x) and c.f

N = 27

median class = 2.35 to 2.45

median = l + [ (N/2) - cf / F ] * H

             = 2.35  + [ (13.5 - 13) / 6 ] *0.1 = 2.3583

hence mean deviation by median

= summation of  fi |xi -M| / summation of fi

= 4.4417 / 27 = 0.1645

B ) probability of getting an odd number or prime number or both

the probability of an odd number = 1/2

also the probability of an even number = 1/2

while the probability of getting neither of them = 1/3

hence the probability of getting odd or prime or both

= 1/2 + 1/2 - 1/3 = 2/3

Answer:

A) Population standard deviation is known.

B) Option 3

H0: μ =520,

H1: μ ≠ 520

z > 1.96 or z < -1.96

Step-by-step explanation:

A) The normal distribution should be used for the sample mean because the population standard deviation is known. Usually, when the standard deviation is unknown we don't use normal distribution except there is an underlying normal approximation.

B) Null Hypothesis:H0: μ =520,

Alternative hypothesis H1: μ ≠ 520

At 5% level of significance, from standard tables, we will reject H0 if;

The test statistic; z > 1.96 or z < -1.96

Answer:

[tex]\sqrt{2}+\sqrt{5}[/tex]

Step-by-step explanation:

Since there are 2 diagonal angles that are 90 degrees, we can figure out the shape is made of 2 right triangles, so we can use the Pythagorean theorem to find out the length of each side.

The problem said that there must be 2 distinct sides with integer lengths, but there are no 2 integers that satisfy [tex]x^2+y^2 = 3^2[/tex] so we can deduce that both right triangles contain 1 integer value side and 1 non-integer value side.

There are only 2 positive integer values that would fit in [tex]x^2+y^2 = 3^2[/tex] for x: 1 and 2. That means the 2 triangles' equation is:

[tex]1^2+\sqrt{8}^2 = 3^2[/tex] and [tex]2^2 + \sqrt{5}^2 = 3^2[/tex].

Now, since these are right triangles, their areas are just going to be their 2 legs multiplied by 1/2.

The first triangle's area is:

[tex]1\cdot\sqrt{8}\cdot1/2 = 1\cdot2\sqrt{2}\cdot1/2 = \sqrt{2}[/tex]

The second triangle's area is:

[tex]2\cdot\sqrt{5}\cdot1/2 = \sqrt{5}[/tex]

The total area of the quadrilateral would be the sum of the 2 triangles, which is just [tex]\sqrt{2}+\sqrt{5}[/tex].

I hope this helped you.

The total area of the quadrilateral ABCD is [tex](\sqrt{2}+ \sqrt{5} )[/tex] and this can be determined by using the formula of the area of the triangle.

Given :

The following steps can be used in order to determine the area of ABCD:

Step 1 - Let the length of the segment AD be 'x' and the length of the segment CD be 'y'.

Step 2 - Now, apply the Pythagorean theorem on the triangle ACD.

[tex]x^2+y^2= 3^2[/tex]

Step 3 - According to the given data, ABCD has two sides with distinct integer lengths. So, there are two possibilities:

[tex]1^2+(\sqrt{8} )^2= 3^2[/tex]

[tex](2)^2+(\sqrt{5} )^2=3^2[/tex]

So, the possible sides of the quadrilateral will be [tex]\rm 1, \;2,\; 2\sqrt{2},\;and \;\sqrt{5}[/tex].

Step 4 - So, the area of the triangle ABC is:

[tex]A=\dfrac{1}{2}\times \sqrt{8} \times 1\\A = \sqrt{2}[/tex]

Step 5 - Now, the area of the triangle ACD is:

[tex]A'=\dfrac{1}{2}\times \sqrt{5} \times 2\\A' = \sqrt{5}[/tex]

Step 6 - So, the total area of the quadrilateral ABCD is:

[tex]{\rm Area } = \sqrt{2} + \sqrt{5}[/tex]

The total area of the quadrilateral ABCD is [tex](\sqrt{2}+ \sqrt{5} )[/tex].

For more information, refer to the link given below:

https://brainly.com/question/25240753

Answer:

45 ft cubed

Step-by-step explanation:

3*3*5 is 9*5 which is 45 feet cubed.

Answer: TRUE

Step-by-step explanation:

you can't never change an irrational number into rational number

2 × √3 = 2√3 ⇔ still an irrational number

Answer:

False

Step-by-step explanation:

 The product of two irrational number 2 is irrational. False. Counterexample: (√2) ∙ (−√2) = 2. (c) The sum of a rational number and an irrational number is irrational.

Answer:

0.87

Step-by-step explanation:

Answer:

in descending order, your answer would be x^2-y^2+2y-9. Hope this helps!

Step-by-step explanation:

Answer:-6x-9+8y.

Step-by-step explanation: 2x-8x-9-2y+10y                               -6x-9-2y+10y                                                                                     -6x-9+8y

Answer:

possible maximum and minimum values : f (1,1),  f (-1,-1)

Step-by-step explanation:

Given function :

f(x,y) = x^2 + y^2

constraint = xy = 1

attached below is the detailed solution of the method of using Lagrange method of Multipliers  to find the maximum and minimum values of the function

Answer:

Divide by 3

Step-by-step explanation:

Answer:

Sub. 10

Answer:

[tex]3.126666666666...=3.12\overline{6}[/tex]

Step-by-step explanation:

If the decimal number is repeating, then bar notation is used. A symbol called "bar" is used to express that type of numbers. it is placed at the top of the number that is repeating.

We have a number i.e. 3.126666666666...

We need express it in bar notation.

In this problem, 6 is repeating. It means "bar" is placed over 6.

So,

[tex]3.126666666666...=3.12\overline{6}[/tex]

It is the bar notation of 3.126666666666...

Answer:

The Stem plot is displayed below.

Step-by-step explanation:

A Stem Plot is a chart for demonstrating the distribution of numeric variables .

It is used to analyze the shape of the distribution.

The data provided is as follows:

S = {46, 65, 55, 43, 51, 48, 57, 30, 43, 49, 32, 56}

The Stem plot is displayed as follows:

3 | 0  2

4 | 3  3  6  8  9

5 | 1  5  6  7

6 | 5

Answer:

Least number of bus require for trip = 5 buses (Approx)

Step-by-step explanation:

Given:

Total number of classes = 9

Number of student in each class = 25

Number of teacher = 4

Number of chaperones = Double of teacher

Bus hold = 45 people

Find:

Least number of bus require for trip

Computation:

Total number of student = 9 × 25

Total number of student = 225

Number of chaperones = 4 × 2

Number of chaperones = 8

Total people = 225 + 8 + 4

Total people = 237

Least number of bus require for trip = Total people / Bus hold

Least number of bus require for trip = 237 / 45

Least number of bus require for trip = 5.266

Least number of bus require for trip = 5 buses (Approx)

Answer:

Least number of bus require for trip = 5 buses

Step-by-step explanation:

Answer:

a. 7%

b. 13%

c. 3%

d. I can conclude that poor nutrition affects academic performance because the chart shows that people with poor nutrition got the worst scores out of the people with better nutrition.  The chart also shows that there are more kids below average than kids with excellent nutrition.  Kids with poor nutrition also have less people above average then any other category.

Step-by-step explanation:

For the percentages, it is just a number out of the total, which is 1000.  

Percentages are a number out of 100.  Like, 35/100 is 35%.  So the total is 1000 and if you divide it by 10, you'll get 100.  That means you have to only divide the amount of kids in a category by 10, and you'll get the percentage.  

Below average kids with poor nutrition has 70 kids.  

70/1000.  Divide 1000 by 10 to get 100.  Since you divided the denominator, 1000, by 10, you need to do the same for the numerator, which is 70.  70 divided by 10 is 7, so it's 7%.  It is sort of like a ratio!

Average kids with poor nutrition has 130 kids.

130/1000.  Divide 1000 by 10 to get 100.  Since you divided the denominator, 1000, by 10, you need to do the same for the numerator, which is 130.  130 divided by 10 is 13, so it's 13%.

Above average kids with poor nutrition has 30 kids.

30/1000.  Divide 1000 by 10 to get 100.  Since you divided the denominator, 1000, by 10, you need to do the same for the numerator, which is 30.  30 divided by 10 is 3, so it's 3%.

Answer: The answer is 209.40625

The fractional equivalent of 33505 divided by 160 is 6701/32 .

Given,

33505/160

Now,

To get the fractional equivalent of 33505/160,

Divide numerator and denominator by the common factor .

So divide numerator and denominator by 5.

33505/5 = 6701

160/5 = 32

Now the simplified fraction is 6701/32.

Know more about fractions,

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Answer:

subtract 6 from both sides.

-5c = -10

then divide both sides by -5 (negative divided by a negative is a positive)

c = 2

Step-by-step explanation:

Step-by-step explanation:

Hey, there!!

The given equation is : -5c + 6 = -4

The first step olis to take (+6) in right side,

[tex] - 5c = - 4 - 6[/tex]

now, another step is add ( -4 and -6)

[tex] - 5c = - 10[/tex]

Now, divide -10 by -5.

[tex]c = \frac{ - 10}{ - 5} [/tex]

Therefore, c= 2.

Hope it helps..

Answer:

1) 12

2) c=-25

3) x = -16 2/3

Step-by-step explanation:

1) ..........................

2) ..........................

3) ..........................

Step-by-step explanation:

here's the answer

Hope it helps◉‿◉

Answer:

Step-by-step explanation:

[tex]Circumference = 2\pi r\\\\2 \pi \times 40 ft = 80\pi ft = 253.3274123 ft\\\\= 253.3274123 ft \times 12 \: \frac{inches }{feet} \\\\ = 3015.928947 in\\\\\\10 min = 10 min \times 60 \: sec / min = 600 sec\\\\4 \: revolutions / 10 min = 4 \times 3015.928947\: in / 600 sec \\\\ = 5.0 in/sec[/tex]

The linear velocity of the Ferris wheel is 20.1 inches per secnod.

Suppose the body revolves θ angle in t time then the angular velocity of the body is

ω= θ/t

Suppose the rotating body covers 's' distance in 't' which is actually 'rθ' distance in 't' time because, s=rθ.

Then the linear velocity of the rotating body is

v=s/t=r(θ/t)=r ω

i.e. v=r ω.

The speed of the Ferris wheel is given by 4 revs in 10 minutes. That means 4(2π) radians in 10 minutes.

Hence, the angular velocity of the Ferris Wheel is

ω= 8π/(10×60) rad/s= π/(75) rad/s

Hence, the linear velocity of the Ferris Wheel is

v=r ω= 40 Feet ( π/(75) rad/s)

= (12×40π)/(75) inch/s

= 20.1062 inch/s

≈20.1 inch/s (rounded to the nearest tenth)

To learn more about the Angular velocity visit- https://brainly.com/question/13649539?referrer=searchResults

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Answer:

-8,2

Step-by-step explanation:

Factoring:

(x+8)(x-2)

x is -8 or 2

Answer:

-8 and 2

Step-by-step explanation:

option 2 or b

[tex]y=\dfrac{sin(x^2)}{x^3}[/tex]

Apply the quotient rule:

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{x^3\frac{\mathrm d\sin(x^2)}{\mathrm dx}-\sin(x^2)\frac{\mathrm dx^3}{\mathrm dx}}{(x^3)^2}[/tex]

Chain and power rules:

[tex]\dfrac{\mathrm d\sin(x^2)}{\mathrm dx}=\cos(x^2)\dfrac{\mathrm dx^2}{\mathrm dx}=2x\cos(x^2)[/tex]

Power rule:

[tex]\dfrac{\mathrm dx^3}{\mathrm dx}=3x^2[/tex]

Putting everything together, we have

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{x^3(2x\cos(x^2))-\sin(x^2)(2x\cos(x^2))}{(x^3)^2}[/tex]

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2x^3\cos(x^2)-2x\sin(x^2)\cos(x^2)}{x^6}[/tex]

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2x^2\cos(x^2)-\sin(2x^2)}{x^5}[/tex]

When [tex]x=\sqrt{\frac\pi2}[/tex], we have

[tex]\cos\left(\left(\sqrt{\dfrac\pi2}\right)^2\right)=\cos\left(\dfrac\pi2\right)=0[/tex]

[tex]\sin\left(2\left(\sqrt{\dfrac\pi2}\right)^2\right)=\sin(\pi)=0[/tex]

so the derivative is 0.

Answer:

[tex]\mathbf{X_E (2) = 1}[/tex]

[tex]\mathbf{X_E (-2) = 0 }[/tex]  

[tex]\mathbf{\{ x \in Z: X_E(x) = 1\} = E}[/tex]

Step-by-step explanation:

Let E be the set of all even positive integers in the universe Z of integers,

i.e

E = {2,4,6,8,10 ....∞}

[tex]X_E : Z \to R[/tex] be the characteristic function of E.

∴

[tex]X_E(x) = \left \{ {{1 \ if \ x \ \ is \ an \ element \ of \ E} \atop {0 \ if \ x \ \ is \ not \ an \ element \ of \ E}} \right.[/tex]

For XE(2)

[tex]\mathbf{X_E (2) = 1}[/tex]  since x is an element of E (i.e the set of all even numbers)

For XE(-2)

[tex]\mathbf{X_E (-2) = 0 }[/tex]   since  - 2 is less than 0 , and -2 is not an element of E

For { x ∈ Z: XE(x) = 1}

This can be read as:

x which is and element of Z such that X is also an element of x which is equal to 1.

∴

[tex]\{ x \in Z: X_E(x) = 1\} = \{ x \in Z | x \in E\} \\ \\ \mathbf{\{ x \in Z: X_E(x) = 1\} = E}[/tex]

E = {2,4,6,8,10 ....∞}

*see attachment for the data set given

Answer:

[tex] Q_1 = 2.5 [/tex]

[tex] Q_2 = 5.5 [/tex]

[tex] Q_3 = 8 [/tex]

The box plot is shown in the attachment below.

Step-by-step Explanation:

a. To find Q1, Q2 (median), and Q3, first order the data from the least to the largest. We would have:

0, 1, 1,1, 2, 2, 2, 3, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9

Q2 which is also the median, is the middle value that divides the data set into two equal parts. In the data set given, Q2 is the data value between the 14th and 15th data value. The average of the 14th and the 15th data value would give us Q2.

0, 1, 1,1, 2, 2, 2, 3, 4, 5, 5, 5, 5, [5,Q2, 6], 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9

They are 5 and 6. Average = [tex] \frac{5+6}{2} = 5.5 [/tex]

Q1 is the middle value of the lower part of the data set from Q2 down to your left.

0, 1, 1,1, 2, 2, [2, Q1, 3,] 4, 5, 5, 5, 5, 5, Q2, 6, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9

Q1 = average of the 7th and 8th value = [tex] \frac{2+3}{2} = 2.5 [/tex]

Q3 = [tex] \frac{8+8}{2} = 8 [/tex]

0, 1, 1,1, 2, 2, 2, 3, 4, 5, 5, 5, 5, 5,Q2, 6, 6, 7, 7, 7, 8, [8, Q3, 8], 8, 9, 9, 9, 9, 9.

Answer:

1. 5 times

2. 1/5

Step-by-step explanation:

I can explain later if you want, but you seem like you're in a rush so I'll do it later :)

Answer:

  $20.99

Step-by-step explanation:

The sale causes the original price to be multiplied by 1 - 20% = 80%. The tax causes the sale price to be multiplied by 1 + 5% = 105%. The net effect is that the original price is multiplied by the product of these values:

  final cost = $24.99(0.80)(1.05) = $20.99

Answer

[0,-3] should be the right answer

The line should intersect at y axis i.e x=0

Then put the value of x as zero in the equation to find the value of y.

3*0-4y=12

-4y=12

y=12/-4=-3

y=-3 ..

HOPE THIS HELPS YOU

Hello, please consider the following.

f is differentiable so g is differentiable and we we can compute the derivative of g.

[tex]\text{derivative of } u^2\text{ is } 2uu'\\\\\text{derivative of } f(f(x^3)+x)\text{ is } (3x^2f'(x^3)+1)f'(f(x^3)+x)\\\\\text{So, }\\\\g'(x)=2f(f(x^3)+x)(3x^2f'(x^3)+1)f'(f(x^3)+x)\\\\\text{ We replace x par 1}\\\\g'(1)=2f(f(1)+1)(3f'(1)+1)f'(f(1)+1)\\\\g'(1)=2f(2)(3f'(1)+1)f'(2)\\\\\text{ We can put f'(2) in one part of the equation}\\\\f'(2)=\dfrac{2f(2)(3f'(1)+1)}{g'(1)}=\dfrac{2*5*(3*(-3)+1)}{2}\\\\=5*(-9+1)\\\\=5*(-8)\\\\=\boxed{-40}[/tex]

Thank you.

Answer:

a)$15.95

b) 8kg

Step-by-step explanation:

a)Approach this question by finding how much does it cost for 1g

So,

$2.1/50=$0.042per gram

then, multiple 380 to get the cost of sweets for 380 g

$0.042/gram*380gram=$15.96(Note: the gram cancel out each other)

Which is $15.95 as the question requested

b)This question stated that 3/4 of the metal has 15 kg

So, in order to find the total mass of metal we invert the 3/4 fraction

e.g 4/3*15=20kg

now we have the total mass we can find the mass for 2/5 of the metal

2/5*20kg=8kg

Answer:

Consrution is the steps of building buildings or town.

Step-by-step explanation:

CONSTRUCTION IS THE ACT OF MAKING 《OR》BUILDING SOMETHING.......

HOPE IT HELP.......❣❣❣

Answer:

x=3/4

Step-by-step explanation:

First, we must combine like terms and find the common denominator (which is 5):

12/5x-2x

12/5x-10/5x=2/5x

Then, we cross multiply

[tex]\frac{2x}{5} =\frac{3}{10}[/tex]= 2x(10)=(3)(5)=20x=15

Then, we divide by 20 to get x:

x=15/20

and finally, we simplify the fraction

x=3/4