Each of 5 students reported the number of movies they saw in the past year. This is what they reported. 4, 20, 12, 20, 19
Find the median and mean number of movies that the students saw.
If necessary, round your answers to the nearest tenth.

Answer:

than twice the smaller number, what are the numbers?

Let's call the smaller number x and the larger number y. We know that x + y = 58 and y = 2x - 10. We can substitute the second equation into the first to get x + (2x - 10) = 58. Combining like terms, we get 3x - 10 = 58, which means that x = 24. Plugging this back into the equation y = 2x - 10, we get y = 48. So, the two numbers are 24 and 48.

Answer:

29

he area of the pool is 34 ft * 48 ft = <<34*48=1632>>1632 ft2.

Thus, the total area of the pool and the border strip is 1632 ft2 + 344 ft2 = <<1632+344=1976>>1976 ft2.

Hence, the border strip is 1976 ft2/34 ft = <<1976/34=58>>58 ft long.

Therefore, the border strip can be 58 ft/2 = <<58/2=29>>29 ft wide. Answer: {29}.

Answer:

To find the value of the quartiles, we need to first find the median of the data set. The median is the middle value of the data set, or the value that separates the lower half of the data from the upper half. In this data set, the median is 2.5, as it is the middle value when the data is arranged in ascending order.

Once we have the median, we can find the first and third quartiles. The first quartile, also known as Q1, is the median of the lower half of the data set, and the third quartile, also known as Q3, is the median of the upper half of the data set. In this data set, the lower half of the data is {1.3, 1.5, 1.7, 2, 2.5}, and the upper half of the data is {2.7, 2.9, 3, 3.1}. The median of the lower half is 1.7, and the median of the upper half is 2.9.

Therefore, the value of the quartiles is Q1 = 1.7, Q2 = 2.5, and Q3 = 2.9.

Option C, Q1 = 1.7; Q2 = 2.5; Q3 = 2.9, is the correct answer.

Step-by-step explanation:

Answer:

2.95

Step-by-step explanation:

Answer:

-120

Step-by-step explanation:

f(x) = 2-27+1

f(x) = 2-27+1

f(x) = -24

g(x) = 2²+1

g(x) = 4+1

g(x) = 5

f(x) g(x) = f(x) * g(x) = -24 * 5 = -120

For every prime power pn that divides the order of a finite group G, the Sylow theorems ensure the existence of a subgroup of G of order pn.

What is subgroup?

Sn1 is transitive because normal subgroups of primitive groups are, and as a result, pn1! A transitive group of degree p's centralizer now has order. Given that p is a prime number and n is a positive integer, let G be a finite group of order pn. Assume that H is an index-containing subgroup of G. Note that you can prove it for any boolean interval of rank 4 if you also know the normal subgroups of G. A homomorphism is produced by the left multiplication that G naturally performs on G/H.

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Using division, we know that the total number of students that wil plant 1280 plants are 256 in grade 5.

Division's opposite is multiplication.

If 3 groups of 4 total up to 12, then 4 are in each group when 12 is divided into 3 equal groups.

The fundamental goal of division is to produce equal groups or to ascertain how many individuals are in each category following a fair distribution.

So, we know that each student plant 5 trees.

In all, total 1280 plants were planted.

Then, calculate the number of studensts that planted 1280 plants as follows:

1280/5

256

Therefore, using division, we know that the total number of students that wil plant 1280 plants are 256 in grade 5.

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35. To find the number of gallons of gasoline used, we need to divide the number of miles traveled by the number of miles per gallon. In this case, we can let represent the number of gallons of gasoline used. We can then write the following equation to represent the situation:

27 miles/gallon * = 324 miles

To solve for , we need to divide both sides of the equation by 27 miles/gallon to get:

= 324 miles / 27 miles/gallon

This simplifies to:

= 12 gallons

36. To find the number of pounds of apples per hour, we need to divide the total number of pounds picked by the number of hours it took to pick them. In this case, we can divide 15,830 pounds by 8 hours to get:

15,830 pounds / 8 hours = 1,978.75 pounds/hour

Therefore, George Adrian picked about 1,978.75 pounds of apples per hour.

37. The equation m/5 = 50 can be used to describe how much money a quintet has to earn in order for each member to receive $50. In this equation, the variable m represents the total amount of money the quintet earns, and the number 5 represents the number of members in the quintet. The expression m/5 represents the amount of money that each member of the quintet receives, and the number 50 represents the target amount of money each member should receive.

The equation states that if the quintet earns a total of m dollars, then each member will receive m/5 dollars, which should be equal to 50 dollars. Therefore, this equation can be used to find the total amount of money the quintet needs to earn in order for each member to receive $50.

38. To estimate the solution of the equation 12x=-38, we can use the equation x=-38/12. This equation states that the solution of the given equation is equal to the negative of 38 divided by 12.

To estimate the solution, we can divide the negative of 38 by 12 to get:

x = -38/12 = -3.17

Therefore, the estimated solution is about -3.17. Note that this is just an estimate, and the exact solution may be slightly different.

Note: Please study hard in math.

Answer:The answer is 27x=324 miles

Step-by-step explanation:

Answer:

green line or "b"

Step-by-step explanation:

we can set this up into the slope intercept form

y=mx+b

where m is the slope and b is y intercept

12=3x+4y

-3x -3x

-3x+12=4y

/4.  /4.  /4

-3/4x+3=y

we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"

hopes this helps please mark rainliest

Answer:

[tex]1\frac{8}{9}[/tex]

Step-by-step explanation:

[tex]\sf 8-6\frac{1}{9}[/tex]

First, make 6 1/9 an improper fraction.

[tex]\sf8-\frac{55}{9}[/tex]

And now to solve the fractions you have to make the denominators the same.

For that, multiply both the numerator and denominator of 8 by 9.

Let us solve it now.

[tex]\sf8-\frac{55}{9}\\\\\sf\frac{8*9}{1*9} -\frac{55}{9}\\\\\sf\frac{72}{9} -\frac{55}{9}\\\\\frac{72-55}{9} \\\\\frac{17}{9}[/tex]

And now let us write the answer as a mixed number.

[tex]1\frac{8}{9}[/tex]

The correct answer is:  [D]:  " [tex]\frac{(1.2)^2^4}{(1.4)^1^8}[/tex]  "

Step-by-step explanation:

Given:  ( 1.4³ / 1.2⁴)⁻⁶ ;

Note the following properties of exponents:

1)    [tex]a^-^b = \frac{1}{a^b}[/tex] ;  { [tex]a\neq 0[/tex] } ;  and:

2)   the  'power of a fraction' rule:
 [tex](\frac{a}{b})^c} =\frac{a^c}{b^c}[/tex] ;  [tex]b\neq 0[/tex] '

As such:
[tex](\frac{1.4^3}{1.2^4})^{-6}[/tex]  ;

=  1  ÷ ( [tex]\frac{1.4^3}{1.2^4})^{6}[/tex] ;

=  [tex]\frac{1}{1}[/tex]   ÷ ( [tex]\frac{1.4^3}{1.2^4})^{6}[/tex] ;;

=  [tex]\frac{1}{1}[/tex]   ÷   [tex]\frac{1.4^(^3^*^6^)}{1.2^(^4^*^6^)}[/tex] ;

Note the follow property of exponents:
" [tex](\frac{a}{b})^c = \frac{a^c}{b^c}[/tex] " ;  {" b ≠ 0 "}.

⇒ =   [tex]\frac{1}{1}[/tex]   ÷ [tex]\frac{1.4^(^1^8^)}{1.2^(^2^4^)}[/tex]

Note:  Dividing by a fraction or a number; is the same as multiplying by the reciprocal (invert) of that number.

   =   [tex]\frac{1}{1}[/tex]   *  [tex]\frac{1.2^(^2^4^)}{{1.4^(^1^8^)}}[/tex] ;

   =     "  [tex]\frac{1.2^(^2^4^)}{{1.4^(^1^8^)}}[/tex]  "  ;

which corresponds to:
Answer choice:  [D]:   " [tex]\frac{1.2^(^2^4^)}{{1.4^(^1^8^)}}[/tex] " .
____________
Hope this is helpful!  Best of luck!

____________

Answer:

the first one

Step-by-step explanation:

Every three candy bars cost a dollar.

Divide 25 by three.  

$8.33

The distance left after 3 hour's drive is 20 miles.

An equation is a mathematical statement of two expressions connected by an equal sign.

We have.

d = 125 - 35t

d is the distance left after traveling t hours.

Now,

t = 3.

d = 125 - 35 x 3

d = 125 - 105

d = 20

Thus,

The number of miles left after 3 hour drive is 20 miles.

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Earning of Jim, Bill and Tom are $x, $3x, and $(x + 5) respectively.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Let Jim earned $x in one weekend.

Bill earned 3 times as much as Jim which is $3x.

Tom earned $5 more than Jim which is $(x + 5).

Sum of their all earnings will be,

= $(x + 3x + x + 5).

= $(5x + 5).

So, Jim is the least earner and Bill is the most earner.

The main concept of these types of questions is to form the expression interpreting from the given statements.

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Answer:

d. h = 11.3 ft

Step-by-step explanation:

volume of cone = [tex]\frac{1}{3}[/tex]r²[tex]\pi[/tex]h

r = 4 feet

Put in your values:

[tex]\frac{1}{3}[/tex](4)²(3.14)h = 189 ft³

16(3.14)h = 567

50.24h = 567

h = [tex]\frac{567}{50.27}[/tex] = 11.3

The height of the cone is h = 11.3 feet

In geometry,  a cone is a three-dimensional shape formed by joining a set of line segments from a common point called apex to all the points of the base which is a circle.

Height of the cone is distance from apex to the center of the circular base.

Volume of a cone is defined as the total capacity of the cone and the formula for the same is given by,

V = [tex]\frac{1\\}{3}[/tex]πr²h

Here, V = 189 ft³, r = 4 ft, π = 3.14

Substituting these values in formula for the volume,

189 = [tex]\frac{1}{3}[/tex] × 3.14 × 4² × h

189 = [tex]\frac{50.24}{3}[/tex]h

h = 189 × 3 / 50.24

h = 11.285 ≈ 11.3

Hence the height of the cone with radius 4 ft and volume 189 ft³ to the nearest tenth of a foot is 11.3 ft.

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The statement that is true about the self-serve frozen yogurt store is;

Option C: The yogurt sales had a decreasing trend in the last four months of 2011

From the attached file, we see a pie chart, a graph and a table.

Now, let us access the given options;

a) The percentage that prefer chocolate = 38%

Percentage that prefer vanilla and strawberry combined = 22% + 30% = 52%.

Thus, the given statement is wrong

b) From the graph curve, we see that;

Number of units sold in November = 3000 units

Number of units sold in August = 6000 units

Difference is 3000 units and not 4000 units and so the statement is wrong.

c) We see that for the last four months the curve showed a decreasing slope which means a decreasing trend of units sold.

d) This is not correct because the median number of ounces sold from 3 to 4pm was not more than the median number of ounces sold from 7 to 8pm on the stem leaf plot.

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Answer:

  760

Step-by-step explanation:

You want to know the number of devices without defect if 3% of a day's production of 784 devices are defective.

The number of defective devices produced in a day is expected to be ...

  3% × 784 = 23.52 ≈ 24 . . . . devices

The number without defect will be the remaining number of devices:

  784 -24 = 760

About 760 devices are without defect.

Answer:

Around 96.77%

Step-by-step explanation: Take 100 divided by 31 and then multiply the product of that by 30.

1/7 and 3/4 can be written using a common denominator as [tex]\frac{4 + 21}{28}[/tex] or [tex]\frac{4}{28}[/tex] foot and [tex]\frac{21}{28}[/tex] foot.

The term Common denominator is used when the denominator of a number of fractions is a common multiple given fraction.

Step 1

find the LCM of 7 and 4 = 28

Steps 2 and 3

Divide the LCM  of the fractions  = 28, by the denominator given 7 and 4 and Multiply the answer by the numerator.

For  1/7

(28/7) * 1

=4* 1

=4

Thus For  1/7, we have :

4/28

Step 1

find the LCM of 7 and 4 = 28

Step 2 and 3

Divide the LCM  of the fractions  = 28, by the denominator given 7 and 4 and Multiply the answer by the numerator.

For  1/7

(28/7) * 1

=4* 1

=4

Thus For  1/7, we have :

= 4/28

Step 1

find the LCM of 7 and 4 = 28

Steps 2 and 3

Divide the LCM  of the fractions  = 28, by the denominator given 4 and 3 and Multiply the answer by the numerator.

For  3/4

(28/4) * 3

= 7* 3

=21

Thus For   3/4 , we have :

21/28

Hence,1/7 and 3/4 can be written using a common denominator as [tex]\frac{4 + 21}{28}[/tex] or [tex]\frac{4}{28}[/tex] and [tex]\frac{21}{28}[/tex].

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In solving the equation, the student did the division wrong, and 29.4/4.2 = 7 which is correct.

Multiplication is the opposite of division.

If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group.

Creating equal groups or determining how many people are in each group after a fair distribution is the basic objective of division.

So, the equation is:

4.2p = 29.4

Let's solve as follows:

4.2p = 29.4

p = 29.4/4.2

p = 7

So, the value of p comes to 7.

Where in the image, the value of p is 123.48 which is wrong as the division is not done properly.

Therefore, in solving the equation, the student did the division wrong, and 29.4/4.2 = 7 which is correct.

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Answer:

1. (1/2)x + 6

2. (1/2)x - 4

3. y = (2/1)x + 2

4. y = 5x - 1

5. y = (1/5)x + 3

Step-by-step explanation:

y = mx + b

Parallel lines have the same "mx"

1. y = (-1/2)x - 2

Parallel line:

y = (-1/2)x + 6

2. y = (1/2) + 4

Parallel line:

y = (1/2)x - 4

3. y = 2x - 4

Parallel line:

y = (2/1)x + 2

4. y = 5x + 2

Parallel line:

y = 5x - 1

5. y = (1/5)x + 10

Parallel line:

y = (1/5)x + 3

I hope this helps!

Answer:

27a + 72

Step-by-step explanation:

Open the brackets

9(3a) + 9(8)

27a +72

Answer:

27a + 72

Step-by-step explanation:

9(3a + 8)

Using the distributive property, we can multiply 9 by everything in parentheses, which now gives us: 27a + 72

We cannot simplify this further, as we have an unknown value in the variable a, thus we cannot apply 72 to 27a, or inverse.

Meaning that, the answer is 27a + 72

Answer:

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity. The degree (which comes from the exponent on the leading term) and the leading coefficient (+ or –) of a polynomial function determines the end behavior of the graph.

Step-by-step explanation:   hope this helps!

The function approaches negative infinity as x approaches positive infinity and the function approaches negative infinity as x approaches positive infinity. Option C is correct.

The end behavior of a polynomial function describes the behavior of the function as x becomes very large in either the positive or negative direction.

As x approaches negative infinity, the function becomes more and more positive. As x approaches positive infinity, the function becomes more and more negative.

As x → -∞, y → ∞

As x → +∞, y → -∞

In other words, the function approaches negative infinity as x approaches positive infinity and the function approaches negative infinity as x approaches positive infinity.

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Answer:

  D(6, -2)

Step-by-step explanation:

You want the coordinates of point E in ∆DEF congruent to ∆ABC after, it has been translated 4 units to the right.

The triangle names tell us that point E is the image of point B after the translation.

Moving a point to the right 4 units adds 4 to its x-coordinate.

  B(2, -2) ⇒ E(2+4, -2) = E(6, -2)

Answer:

To apply the distributive property using the greatest common factor (GCF) to write an equivalent expression for 0.3x - 2.7, we need to find the GCF of the coefficients of the terms in the expression. In this case, the GCF is 0.3, so we can write the expression as 0.3(x - 9). This is an equivalent expression to 0.3x - 2.7, because multiplying 0.3 by the difference of x and 9 produces the same result as subtracting 2.7 from 0.3x.

Step-by-step explanation:

Answer:

The next step is to combine constants

Step-by-step explanation:

The sentence that includes a non-restrictive clause is given as follows:

Giana, who collects anything relating chickens, found the perfect life-sized chicken hat to add to her collection.

Restrictive and non-restrictive clauses are defined as follows:

The sentence with the non-restrictive clause in this problem is given as follows:

Giana, who collects anything relating chickens, found the perfect life-sized chicken hat to add to her collection.

However, the following sentence could be understood just as easily:

Giana found the perfect life-sized chicken hat to add to her collection.

Meaning that the "who collects anything relating chickens" noum is unnecessary, and thus the second option is correct.

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The statement, "If m∠X ≅ m∠Y and m∠Y ≅ m∠Z, then m∠X ≅ m∠Z" demonstrates: D. the transitive property.

In geometry, the transitive property of congruency states that when two angles, sides, or triangles are congruent to a third angle, side, or triangle, then all three angles, sides, or triangles will be congruent to each other.

Illustrating the transitive property, if a = b, and b = c, therefore, a = b = c. We can then state that a = c.

Therefore, given that If m∠X ≅ m∠Y and m∠Y ≅ m∠Z, then m∠X ≅ m∠Z, we have:

Two angles, X and Z, which are both congruent to a third angle, Y.

Therefore, based on the transitive property, we can state that all three angles are congruent to each other, which leads us to conclude that:

m∠X ≅ m∠Z.

Thus, the statement given demonstrates the: D. transitive property.

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Answer:

18 days

Step-by-step explanation:

1) Write an Equation:

50t + 100 = 1000

Where

100 is the set cost to sign up for the car service

t is time in days

2) Solve the Equation for t

50t + 100 = 1000

50t + 100 - 100 = 1000 - 100

50t = 900

50t / 50 = 900 / 50

t = 18

The angles in the parallel lines are as follows;

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, linear angles, vertically opposite angles etc.

Therefore, let's find the angles m∠1 and m∠2.

Hence,

138 + m∠1 = 180(angles on a straight line)

The sum of angles on a straight line is 180 degrees.

m∠1 = 180 - 138

m∠1 = 42 degrees

Therefore,

m∠1 =  m∠2 (alternate exterior angles)

Alternate exterior angles are the pair of angles that are formed on th outer side of the parallel lines but on the opposite side of the transversal.

Alternate exterior angles are congruent.

Therefore,

m∠1 =  m∠2 = 42 degrees.

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