what is the mean of 95 and 45 and 37 and 82 and 90 and 100 and 91 and 78 and 67 and 84 and 85 and 85 and 82 and 91 and 93 and 92 and 76 and 84 and 100 and 59 and 92 and 77 and 68 and 88

Answer:

6 = 2 * 3 so it is composite

22 = 2 * 11 so it is composite

29 is a prime number

Step-by-step explanation:

Answer:29

Step-by-step explanation:

6 = 2 and 3

22 = 2 and 11

29 = 1 and 29

therefore 29 is the composite number

For the transformations of translation, the following is correct -

A. by vector (7, 11).

What is translation?

A translation in mathematics does not turn a shape; instead, it moves it left, right, up, or down. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They have only changed their direction or directions.

The single transformation that represents the following sequence of transformations -

i) a translation vector by (2, -3) followed by

ii) a translation vector by (-5, 8)

is a translation by the vector (-3, 5).

To see why, we can combine the two translation vectors by adding them component-wise -

(2, -3) + (-5, 8) = (-3, 5)

This vector represents the total displacement of a point on the plane after both translations are applied.

So, a single translation by the vector (-3, 5) will have the same effect as applying both of the original translations in sequence.

Therefore, the correct statement is, by vector (7, 11).

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The new percentage of product owners living in the city will be 11.5%.the first strategy is the best one to adopt because it results in the highest percentage of product owners living in the city.

The first step is to calculate the current market share for each location, as well as the percentage of all product owners who live in the city. We can assume that 100% - 30% = 70% of the people live in the suburbs.

Market share in the city = 20%

Market share in the suburbs = 10%

Percentage of product owners living in the city = (20% of city population) + (10% of suburban population) = 0.2 x 0.3 + 0.1 x 0.7 = 0.13 or 13%

If we adopt the first strategy, the new market share in the suburbs will be 15%.

The new percentage of product owners living in the city will be 0.25 x 0.3 + 0.15 x 0.7 = 0.175 or 17.5%.

If we adopt the second strategy, the new market share in the city will be 25%.

The new percentage of product owners living in the city will be 0.25 x 0.3 + 0.1 x 0.7 = 0.115 or 11.5%.

Therefore, the first strategy is the best one to adopt because it results in the highest percentage of product owners living in the city.

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The length of BP is 14.4 meters.

To find the length of BP, we can use the property that states that when two chords intersect inside a circle, the product of the segment lengths on one chord is equal to the product of the segment lengths on the other chord.

Using this property, we can set up the equation:

AP * PC = BP * DP

Substituting the given values:

12 m * 6 m = BP * 5 m

Simplifying:

72 m^2 = BP * 5 m

To solve for BP, divide both sides of the equation by 5 m:

72 m^2 / 5 m = BP

Simplifying:

14.4 m = BP

Therefore, the length of BP is 14.4 meters.

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Hello! :3

Answer:

x = 1

graphing:

The equation that represents profit is $40x - $20.

The profit after 5 days in business is $180.

The profit after 10 days in business is $380.

The profit after 10 days in business if revenue is $45 is $430.

Profit is total revenue less total cost.

Profit = total revenue - total cost

Profit = $40x - $20

Where:

x = number of days

$40(5) - $20

= $200 - $20

= $180

$40(10) - $20

$400 - $20

$380

$45(10) - $20

= $450 - $20

= $430

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Answer:   \(2x+44 \le 57\\\\\)

Explanation:

W = width

W = 11

L = length

L = width+x

L = 11+x

P = perimeter of the rectangle

P = 2L+2W

P = 2*(11+x)+2*11

P = 22+2x+22

P = 2x+44

The perimeter is at max 57 units because it is the length of wire used. Think of it like fencing around a piece of land. Be sure not to mix up the length of the wire with the rectangle length; those are two different things.

Anyways, because the perimeter maxes out at 57, this means either P = 57 or P < 57.

This leads to:

\(P \le 57\\\\2x+44 \le 57\\\\\)

The expected value 'w' for the total raffle tickets sold for $1.00 with other conditions is equal to $0.784.

Number of raffle tickets sold for $1.00 = 2000

Expected value of w is ,

= Expected value of the prize won - cost of a single ticket $1.00

The probability of winning a $25 prize is

=  20/2000

= 0.01.

The expected value of winning this prize is equal to

= (25 - 1) × 0.01

= 0.24

The probability of winning a $50 prize is

= 10/2000

= 0.005.

The expected value of winning this prize is equal to

=  (50 - 1) × 0.005

= 0.245

The probability of winning a $300 prize is

= 2/2000

= 0.001.

The expected value of winning this prize is,

= (300 - 1) × 0.001

= 0.299

This implies,

The expected value of w is equal to

= 0.24 + 0.245 + 0.299

= 0.784

Therefore, the expected value of winning a prize minus the cost of the ticket is $0.784.

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Answer:

3rd

Step-by-step explanation:

Answer:

The additive inverse of a real number is the opposite of that number on the real number line. For example, the opposite of −3 is 3. A number and its additive inverse have a sum of 0. The sum of any number and its opposite is equal to zero.

The two squares and the shaded region of square A is in the attachment.

Answer: The shaded region of A is 12.5% of the area of B.

Step-by-step explanation: Assume that the length of side of square A is a and the length of side of square B is b.

Length a is half (50%) of length b:

a = \(\frac{b}{2}\)

The shaded region is a triangle. The area of a triangle is: A = \(\frac{b.h}{2}\)

b and h are the sides of the square A, so:

\(A_{1}\) = \(\frac{\frac{b}{2}.\frac{b}{2}}{2}\)

\(A_{1} = \frac{b}{2}.\frac{b}{2}.\frac{1}{2}\)

\(A_{1} = \frac{b^{2}}{8}\)

Area of square B is:

\(A_{2}\) = b.b

\(A_{2} = b^{2}\)

Comparing areas:

\(\frac{\frac{b^{2}}{8} }{b^{2}}\) = \(\frac{b^{2}}{8}.\frac{1}{b^{2}}\) = \(\frac{1}{8}\)

As percentage:

\(\frac{1}{8}\) × 100 = 0.125 × 100 = 12.5%

Comparing the shaded region of A to square B, the area of the first is 12.5% smaller than the second.

Step-by-step explanation:

IF  x-4   is a factor, then putting in x = + 4    will make the polynomial = 0

5 ( 4^3) - 20 (4^2) - 5(4)  + 20   =   0    Yes...it is a factor

\(x - 4 = 0 \\ x = 4 \\ \)

substitute value of x in the function to see if it equals to zero , if not it won't be a factor of the function

\(5 {x}^{3} - 20 {x}^{2} - 5x + 20 = 0 \\ 5(4) ^{3} - 20( {4})^{2} - 5(4) + 20 = 0 \\ 5(64) - 20(16) - 20 + 20 = 0 \\ 320 - 320 - 20 + 20 = 0 \\ 0 = 0\)

so (x-4) is a factor for the function

Answer:

x=6

Step-by-step explanation:

1)  Expand the equation to -2x+12=2x-12

2) Subtract 12 from both sides which gives you -2x=2x-24

3) Simplify, which makes it -4x=-24

4) Divide by 4, which gives you 6.

Answer:

X = 6

Step-by-step explanation:

- 3x + 12 + x = 2x - 12

2x + 12 = 2x -12

2x - 2x = - 12 - 12

-4x = -24

x = 24/4

x = 6

TRUNCATED to one decimal place, it's 50.2

ROUNDED to one decimal place, it's 50.3

The round-off of 50.272 to 1 decimal place using rules of rounding

numbers are 50.3.

Rounding off numbers means making a number simpler by adjusting it to its nearest place according to certain rules.

Rounding a number to one decimal place means keeping only the first digit after the decimal point and neglecting the rest. In this case, the digit in the second decimal place is 7, which is greater than or equal to 5. As per the rounding rules, if the digit is greater than 5, the preceding digit is increased by 1.

So, 50.272 becomes 50.3 when rounded to one decimal place.

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The Lewis dot structure for BF2 is:

 F     B     F

  \   /    

   B    

  /   \

 F     B     F

In this molecule, there are three atoms (one boron and two fluorine) and a total of 12 valence electrons. Boron is in group 3, so it has 3 valence electrons, while each fluorine atom has 7 valence electrons.

To form the Lewis dot structure, we first place the atoms in a linear arrangement. Each fluorine atom shares one electron with the boron atom, giving a total of two shared electrons (or one bond) between the boron and each fluorine atom. This gives us a total of four electrons (or two bonds) between the boron and the two fluorine atoms.

The remaining four electrons are placed as nonbonding electron pairs around each fluorine atom to satisfy the octet rule. Therefore, there are a total of two bonding domains and two nonbonding electron domains around the boron atom. The electron domain geometry is tetrahedral, and the molecular geometry is linear.

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Step-by-step explanation:

Right away i notice the 45° angle and the 90° angle in triangle RTQ, this means that the remaining angle must be 180-(90+45)=45°.

If it isn't obvious yet, triangle RTQ is a right isosceles triangle where RT=RQ=x.

Now looking at my other triangle RST

I know that RT=x, RS=2√3 and ST is unknown.

So i cannot apply my Pythagorean theorm.

HOWEVER i do notice 60 degree angle and the 90 degree angle, which means that the last angle must be 180-(90+60)=30° and this triangle (RST) must be a half equilateral triangle;,

Now i can use the relation which describes the relation between the hypotenuse(x) and the side opposite or facing the 60° angle (RS=2√3).

RS=x√3/2

2RS=x√3

2×2√3=x√3

4√3=x√3

4√3/√3=x

x=4 :P

Step-by-step explanation:

the answer is a

4/3πr^3

4/3*22/7*5^3

Answer:

D

Step-by-step explanation:

D because i perfect that

Answer: Experiment with 100 players sprinting

Step-by-step explanation:

When it comes to experiments using samples to find out the effect of a variable on an entire population by finding out the representative effect on the sample, the larger the size of the sample, the better.

A larger sample comes closer to being the actual size of the population so when this larger sample is experimented upon, the results it gives will be closer to the results that would be gotten if we experimented on the entire population. The 100 player sprinting experiment would therefore come closer to matching its theoretical probability.

(a) The population is the whole US adult citizens.

(b) The sample is 1200 randomly selected US adults.

(c) The statistic is the percentage reported against the selected random sample that is here the statistic is 12.2%.

(d) The parameter on the other hand is the reported percentage against  the whole population that is here the parameter is 10%.

(e) The parameter is fixed because it shows the exact percentage of food allergies in US Adult population as whole on macro level but sample can vary as that value depend on which 1200 sample you choose.

Given that, the result shows 10% of US adult population has food allergies.

So the population is the whole US adult citizens.

We select then 1200 random adults.

So the sample is 1200 randomly selected US adults.

The statistic is the percentage reported against the selected random sample that is here the statistic is 12.2%.

And the parameter on the other hand is the reported percentage against  the whole population that is here the parameter is 10%.

The parameter is fixed because it shows the exact percentage of food allergies in US Adult population as whole on macro level but static can vary as that value depend on which 1200 sample you choose.

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The question is incomplete. The complete question will be -

"According to the medical news today of the US adult population 10% has food allergies example of 1200 randomly selected adults resulted in 12.2% reporting an outage.

(a) Who is the population?

(b) What is the sample?

(c) Identify the statistic and give its value.

(d) Identify the parameter and give its value.

(e) In your own words, explain why the parameter is fixed and the statistic varies."

Total cost to build the ramp is $1467.4. Santiago’s has over budget to build the ramp.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

Here,

Area of 2 rectangles is

2(Length×Width)

= 2(20×12)

= 480 square feet

Area of small rectangle = 12×8.5

= 102 square feet

Area of 2 triangles = 1/2×Base×Height

= 1/2 ×20×8.5

= 85 square feet

Total area = 480+102+85

= 667 square feet

Total cost to build the ramp = 667×2.20

= $1467.4

Santiago’s total budget for the materials to build the ramp and the foam pit is $3,000.

Hence, Santiago’s has over budget to build the ramp.

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"Your question is incomplete, probably the complete question/missing part is:"

The material Santiago will use to build the ramp cost $2.20 per square foot. Find the total cost of materials for the ramp? All sides are; 21.7, 20, 12 for perimeter and 8.5 for the height.

Santiago’s total budget for the materials to build the ramp and the foam pit is 3,000. With his current design, will he be over budget or under budget, and by how much?

Answer:

Retrial, Guilty, and Innocent

Step-by-step explanation:

Khan Academy

Answer: 13%

Step-by-step explanation:

Step 1:

5000

10% of 5000=500

5% of 5000=250

25%=500+500+250= 1250 rupees

so...

5000-1250= 3750 INR, which is the original price, BEFORE THE 25% WAS ADDED

but..

They only want a 10% discount of the price which is 25% above the cost (5000). So essentially we want to find  15%, because 25%-10%=15%

so if...

10%=500

5%=250

15%=750 INR

this means the price with the 10% discount off 25%= 4250 INR (5000-750)

now we need to find the percentage change. For this we need to subtract the price with the 15% discount with the price BEFORE THE 25% was added

e.g 4250-3750= 500INR

Then.. divide this price with the original price before the 25% was added

e.g 500/3750= 2/15=0.13

So...

Convert 0.13 into a percentage=13%

The PERCENTAGE PROFIT of the owner is 13%

P.S Please could someone double check this answer as I am only 15 years old and may have gotten some working out wrong! Thank you

Step-by-step explanation:

288÷60(60 minutes in an hour) = 4.8

is this what you asked for?

The instructional context can greatly impact learning with educational technology. In a study with a digital learning game, it was found that the instructional context influences student engagement and motivation. This, in turn, affects their learning outcomes.

The study examined the design of the game, the teacher's role, and the classroom environment. By optimizing these factors, the researchers found that students were more likely to be actively engaged and achieved better learning outcomes.

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Answer:

\(x=3, JM=9\)

Step-by-step explanation:

The triangles are congruent by SAS. Using CPCTC,

\(9x-18=3x \\ \\ -18=-6x \\ \\ x=3 \\ \\ \\ \\ JM=9(3)-18=9\)