A/an is calculated by dividing the difference between a data value and the mean by the standard deviation.

Answer:

23.4%

Step-by-step explanation:

10 = (2.34 / 10) x 100% = 23.4%.

I could be wrong, but your answer should be: [tex]50h^2-100h-150[/tex].

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Answer:

[tex]50h^{2} -100h -150[/tex]

Step-by-step explanation:

Assuming that h has no defined value, all we have to do here is multiply every defined number(non-variable numbers) in the parentheses here by 5.

[tex]5(10h^{2} -20h -30)[/tex]           Given

[tex]50h^{2} -100h -150[/tex]            5x10=50, 5x(-20)=-100, and 5x(-30)=-150

Answer: D

Step-by-step explanation:  The student made a mistake in step 2, because angle O and P do not add up to 90, as supplementary angles add up to 180.

The third term of a given geometric sequence based on common ratio 2 is 8.

A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.

Given a geometric sequence.

First term = 2

Second term = 4

Common ratio = Next term / previous term

Common ratio = 4/2 = 2

So,

Common ratio = Third term / second term

The third term = common ratio × second term

The third b = 2 × 4 = 8

Hence "The third term of a given geometric sequence based on common ratio 2 is 8".

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Answer:

a punch recipe calls for one and 12 quarts of sparkling water

Step-by-step explanation:

Answer:

Sparkling water: 50 quarts

Grape Juice: 25 quarts

Step-by-step explanation:

The punch recipe uses 1 1/2 quarts of water and 3/4 quarts of grape juice

That would make a total of

1 1/2 + 3/4 = 3/2 + 3/4 = 6/4 + 3/4 = 9/4 quarts of punch

Therefore to make 75 quarts, we have to figure out how many of 9/4 quarts would be needed.

This is 75 ÷9/4

Dividing by 9/4 is same as multiplying by 4/9

75 ÷9/4 = 75 x 4/9 = 300/9 = 100/3

So we will need 100/3 times as much of both ingredients

For sparkling water this would be

1 1/2 x 100/3 = 3/2 x 100/3 = 300/6 = 50 quarts

For grape juice we will need
3/4 x 100/3 = 300/12 = 25 quarts
(Or we can subtract 50 from 75 to get 25 quarts)

  Solving the problem by Dividing and simplifying we have as a result 2x⁶y³

  A division is a basic mathematical operation, which has the purpose of dividing a number or element into two or more equal parts, as follows:

Dividend |_divisor

Divisions can also be expressed as a fraction as : a/b

Simplification is a process of reducing terms to expressions, which do not generate changes or values.

The algebraic expression we will divide and simplify to its smallest expression is:

∛64x⁹y³ / ∛8 x³

We solve the cube roots and substitute results, to split terms

4x⁹y³ / 2x³

 we can see that it is an expression that has two variables

2x⁹⁻³y³

2x⁶y³

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The intersection and the union of the intervals (-7, 0) and (-3, 5) are (-3,0) and (-7,5) respectively

Given,

The intervals = (-7,0) and (-3,5)

Draw the intersection and union of the intervals in the number line

The intersection is an interval that lies within the both intervals (-7,0) and (-3,5)

Intersection of the intervals (-7,0) and (-3,5)  = (-3,0)

The union is the set that consist of all the elements in the first interval and all the elements in the second interval

Union of the intervals (-7,0) and (-3,5) = (-7,5)

Hence, The intersection and the union of the intervals (-7, 0) and (-3, 5) are (-3,0) and (-7,5) respectively

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By using the fact that the two lines with the purple arrow are parallel, We can conclude that the angles are y = 133° and x = 47°

First,  notice that the two lines with the purple arrow are parallel lines, and these lines are intersected by the same line, then the 4 angles formed in the above line are the same ones than in the below line.

So, if the angle in the fourth quadrant of the above intersection is the same as the angle in the fourth quadrant of the below intersection, then we can see that:

y = 133°

And x + y should be equal to 180°, then:

133° + x = 180°

x = 180° - 133° = 47°

We can conclude that the angles are y = 133° and x = 47°

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Answer:

=============================

Distribute and simplify, then find the x-intercepts:

The x- intercepts are:

Since the leading coefficient is positive, the graph opens up, so the interval between the x-intercepts is negative:

Answer:

7. A person who weighs 125 ponon Earth would weigh  on Mercury. S a proportion and solve using means and extremes to determine how much a child w weighs  on Earth would weigh on Mercury.

Step-by-step explanation:

Difference between temperatures is 11°C

As in the given problem we are provided data as

Temperature in Munich at Noon: 3°C

Temperature in Munich at Midnight: -8°C

to find out the difference we need to substract the temperature

Thus, Difference between temperatures will be:

3°C -(-8°C)

=> 3°C + 8°C

=> 11°C

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Based on the alternate exterior angle theorem, if m<1 = m<2, the statement which is true is that: B. n || m.

Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

The alternate exterior angle theorem states that when two (2) parallel lines are cut through by a transversal, the alternate exterior angles that are formed are congruent or angles of equal measure.

In this context, we can reasonably infer and logically deduce that the true statement which best proves that lines n and m are parallel is that angle 1 is congruent to angle 2 because by definition, all alternate exterior angles are congruent, if two (2) parallel lines are cut by a transversal.

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Answer:

4.09

Step-by-step explanation:

n = 548/134

Total amount of money in the account in the second bank after 3 years will be represented by the function: P[tex]e^{0.0747}[/tex].

The formula for calculating the amount (A) on a principal (P) invested at the rate of r%, compounded continuously after t years is-

A = P[tex]e^{rt}[/tex]

Here, we are given that there are 2 financial institutions-

1st financial institution:

interest rate =  3% for the first year

and interest rate for next two years = 2%

2nd Financial institution:

interest rate = 2.49% for three years

Let the principal amount deposited be P

We assume that the interest is compounded continuously.

Then for the 2nd bank-

Amount = P[tex]e^{rt}[/tex]

here, r = 2.49%

= 0.0249

Amount = P[tex]e^{0.0249 * 3}[/tex]

= P[tex]e^{0.0747}[/tex]

Thus, the total amount of money in the account in the second bank after 3 years will be given by the function- P[tex]e^{0.0747}[/tex].

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The comparison of the numbers are √160 > √115.1

The numbers are given as

square root of one hundred sixty and one hundred fifteen ninths

Rewrite properly as

√160 and √115.11

By comparing the radical of both numbers, we have

160 and 115.11

160 is greater than 115.11

Hence, the comparison of the numbers are √160 > √115.11

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Answer: 0 = -3, The input is a contradiction: it has no solutions

Step-by-step explanation: Is in the photo Screenshot

The reasoning isn't correct.

It should be noted that the fruit salsa recipe calls for 2 cups finely chopped pineapple and 4 cups of finely chopped strawberries

This implies that the ratio is:

= 2/4

= 1/2

= 1:2.

Therefore when Isaiah only has 1 cup of pineapple, the appropriate strawberry will be:

= 1 × 2 = 2

He's wrong as he doesn't need 3 cups.

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Answer: x% of 120=3.6

Step-by-step explanation:

20% of x is 15----   .20*15=3, therefore x=3.

3%=0.03, 0.03*120=3.6

Answer:

1,000

Step-by-step explanation:

25% as a decimal is .25

.25 x 4000

1,000

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{25\% \times 4,000}\\\\\mathsf{= \dfrac{25}{100}\times 4,000}\\\\\mathsf{= \dfrac{25\div25}{100\div25}\times \dfrac{4,000}{1}}\\\\\mathsf{= \dfrac{1}{4}\times \dfrac{4,000}{1}}\\\\\mathsf{= \dfrac{1\times4,000}{4\times1}}\\\\\mathsf{= \dfrac{4,000}{4}}\\\\\mathsf{= 4,000\div4}\\\\\mathsf{= 1,000}\\\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{1,000}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

The real world representation of the given statement is the expression 3x/8

From the question, we are to write the real world description of the given statement.

The given statement is

"the quantity three times x end quantity divided by 8"

To write the real world description of the given expression, we will write the expression as a mathematical statement

Writing the expression as a mathematical statement

'quantity three times x" can be written as

3 × x

= 3x

Then,

"the quantity three times x end quantity divided by 8" becomes

3x ÷ 8

= 3x/8

Hence, the real world representation of the given statement is 3x/8

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Average cost of a gallon of gas in Texas in 2013 was $3.42.

Given,

Average cost of a gallon of gas in Texas in 2010 = $2.53

From 2010 to 2013 average cost of regular gasoline in Texas increased by 35%

We have to find the average cost of a gallon of gas in Texas in 2013:

= Average cost in 2010 × (135/100)

= 2.53 × (135/100)

= 2.53 × 1.35

= 3.4155

≈ 3.42

That is, the average cost of a gallon of gas in Texas in 2013 was $3.42 approximately.

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Answer:

Step-by-step explanation:

let the three consecutive odd numbers be x,x+2,x+4

9+x+4 = 2(x+x+2)

thus x =

The actual distance between Yappy city and Quiet city when it is 23 cm in map is 9.2 miles.

What is scaling ?

It is the technique to resize drawing with comparing to actual size of object which uses proportion or ratio. For example, Mapping of earth, drawing prototype of automobiles.

It is given that :

The distance on the map between Yappy city and Quiet city is 23 cm

and,

5cm = 2 miles

now, for 1 cm on map it is equal to 2/5 miles of actual distance.

Therefore to find the actual distance of 23 cm in map we simply multiply 23 with 2/5 :

actual distance :

2/5 x 23 = 9.2 miles

Therefore, the actual distance between Yappy city and Quiet city is 9.2 miles.

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9.349 × 10^12 (^ means to the power of)

The number of beads of each type that are on each necklace will be 6 beads.

It should be noted that the jewelry maker will use 24 jade beads and 30 teak beads to make necklaces. each necklace will have the same number of necklaces she can make.

Therefore, it van be seen that the highest common factor between 24 and 30 is 6.

Therefore, the number of beads of each type that are on each necklace will be 6 beads.

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