The following list has a mean of 24. What would be the new mean if 17 was added to the list? 12,30,19,27,21,35

The reasonable estimate would be 25

We have to solve this using the rule of 3

9 out of 30 members said that they run more than 5 days a week.

We will form the equations

when 9 ran = 30 menbers

when n ran = 84 members

we will then cross multiply

84 x 9 = 30 x n

n = 25.2

When we round this, the reasonable estimate would be 25

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Complete question

Freemont Run Club surveyed a random sample of 30 of their members about their running habits. Of the members surveyed, 9 said that they run more than 5 days a week.

There are 84 Freemont Run Club members.

Based on the data, what is the most reasonable estimate for the number of Freemont Run Club members who run more than 5 days a week?

9514 1404 393

Answer:

  592 feet

  8.5 seconds

Step-by-step explanation:

The usual equation used for ballistic motion is ...

  h(t) = -16t^2 +h0

Here, we have h0=1168 and t=6, so ...

  h(t) = -16(6^2) +1168 = 592 . . . feet high after 6 seconds

__

For h(t) = 0, the value of t can be found from ...

  0 = -16t^2 +1168

  t^2 = 1168/16 = 73

  t = √73 ≈ 8.5

The object will reach the ground after 8.5 seconds.

Answer:

  61.03°

Step-by-step explanation:

You want the angle opposite the side of length 7 in the triangle with other sides of lengths 4 and 8.

The law of cosines relates the angles of a triangle to the side lengths. For triangle ABC with opposite sides a, b, c, the relation is ...

  c² = a² +b² -2ab·cos(C)

Solving for angle C, we have ...

  cos(C) = (a² +b² -c²)/(2ab)

  C = arccos((a² +b² -c²)/(2ab))

In this triangle, that means ...

  C = arccos((4² +8² -7²)/(2·4·8)) = arccos(31/64)

  C ≈ 61.03°

The angle of interest is about 61.03°.

__

Additional comment

We get the same result from a triangle solver. See the second attachment. (The angle we want is angle B in that attachment.)

<95141404393>

Answer: 6

Step-by-step explanation:

There are six possible ways that the three boys can initially choose shirts: ABC, ACB, BAC, BCA, CAB, CBA.

Relative interest refers to the comparison of interest rates between different financial instruments or investment opportunities. It allows individuals or investors to assess and evaluate the attractiveness of various options based on their potential returns.

1. Understand the basic concept: Interest is the cost of borrowing money or the return earned on invested funds. Relative interest involves comparing the interest rates of different financial instruments or investments to determine which one offers a more favorable return.

2. Identify the investment options: Start by identifying the different investment opportunities or financial instruments available. These can include savings accounts, certificates of deposit (CDs), bonds, stocks, or other investment vehicles.

3. Research interest rates: Research and gather information about the current interest rates offered by each investment option. This information can usually be found on financial websites, through financial institutions, or by consulting with a financial advisor.

4. Compare interest rates: Once you have the interest rates for each investment option, compare them side by side. Look for the differences in rates and identify which options offer higher or lower returns.

5. Assess risk and return: Consider the level of risk associated with each investment option. Higher returns often come with higher risk, so it's essential to evaluate the risk-reward tradeoff.

6. Make an informed decision: Based on the comparison of interest rates and the risk-reward assessment, make an informed decision on which investment option aligns with your financial goals and risk tolerance.

Always remember to consider your financial goals, risk tolerance, and consult with a financial advisor if needed.

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Answer:

hi

Step-by-step explanation:

??? where is the question??

The angles that are 118 degrees are ∠1 , ∠3, ∠5 and ∠7.

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

Therefore, let's find the angle relationship in the line and find the angles that are 118 degrees.

Hence,

∠3 = 180 - 62 = 118 degrees(angles on a straight line)

∠1 ≅ ∠3 (vertically opposite angles)

∠7 ≅ ∠3 (alternate interior angles)

∠5 ≅ ∠7 (vertically opposite angles)

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Answer:

so on the first one all your doing is multiplying 65 by the number on top so the graph should look like this.

2 3 4 5

130 195 260 325

On the second one all your doing is putting the dot where the numbers meet up so for example. I'm going to try my best at this to create a drawing so pretend ! is a line and - is also a line.

10!

!

8!

!

4!_|●_|_|_|_|_|_|

!_|_|_|_|_|_|_|_|

!_|_|_|_|_|_|_|_|_

0!_|_|_|_|_|_|_|_|_|_

2

so I hope this made sense so where I put my dot is where the blue dot should go on the graph

The value of x and y are: x = 5 2/3 and y = 1 1/3

Perimeter is the distance around the edge of a shape. Learn how to find the perimeter by adding up the side lengths of various shapes.

The perimeter of a rectangle = 2(l+w)

P = 2(l+w)

P= 2( x+2y +x)

28 = 2(2x+2y)

28 = 4x +4y

divide all by 4

x+y = 7

the perimeter of a triangle = a+b+c

24 = 3x + 3y + 4y

24 = 3x + 7y

relating the two perimeters

x+y = 7 equation 1

3x + 7y = 24 equation 2

x = 7 -y

3( 7 -y) +7y = 24

21 -3y +7y = 24

21 +4y = 24

4y = 3

y = 4/3 = 1 1/3

x+ y = 7

x = 7-4/3

x = (21-4)/3

x = 17/3 = 5 2/3

therefore the value of x = 5 2/3 and y = 1 1/3

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The length of the diagonals will be WZ = XZ = 11 units.

A diagonal in geometry is a line segment that connects two polygonal or polyhedral vertices when they are not on the same edge. Any sloping line is known as a diagonal informally.

The length of the two diagonals of the rectangle is equal. The value of x will be calculated as,

6x - 7 = 3x + 2

3x = 9

x = 3

WZ = 6x - 7

WZ = 6 x 3 - 7

WZ = 18 - 7

WZ = 11

XZ = 3x + 2

XZ = 3 x 3 + 2

XZ = 11

Therefore, the length of the diagonals will be WZ = XZ = 11 units.

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Answer:

36.84%

Step-by-step explanation:

7 over 19 as a percentage?

We Take

(7 ÷ 19) x 100 ≈ 36.84%

So, the answer is 36.84%.

Answer:

\( f(-2) = 13 \)

\( f(0) = 9 \)

\( f(5) = -1 \)

Step-by-step explanation:

Given:

\( f(x) = -2x + 9 \)

Required:

Find,

h(-2); h(0), and h(5)

SOLUTION:

Plug in the value of x into \( f(x) = -2x + 9 \) in each case as follows:

\( f(-2) = -2(-2) + 9 \)

\( f(-2) = 4 + 9 \)

\( f(-2) = 13 \)

\( f(0) = -2(0) + 9 \)

\( f(0) = 0 + 9 \)

\( f(0) = 9 \)

\( f(5) = -2(5) + 9 \)

\( f(5) = -10 + 9 \)

\( f(5) = -1 \)

The value of h(x) when x= -2,0, and 5 is; 13, 9 and -1 respectively.

The function, h(x) given is; h(x) = -2x +9 .

As such, evaluation of h(x) when x = 2,0, and 5 is as follows;

For x = -2

For x = 0

For x = 5

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\(\boxed{A}\\\\ U=5(2n+22)+2\left( n+\cfrac{3}{2} \right) \\\\\\ U=10n+110+2n+3 \implies U=12n+113 \\\\[-0.35em] ~\dotfill\\\\ \boxed{B}\hspace{5em}\textit{in 2009, that's 9 years after 2000, n = 9}\\\\ U(9)=12(9)+113\implies U(9)=221 ~~ millions\)

Step-by-step explanation:

plase see it i work by paper worksheet

Answer:

0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.

Step-by-step explanation:

What is the probability that an attendee sits in on the information technology session or the social media session?

They cant be in both sections simultaneously, so this probability is the sum of each probability.

0.11 = 11% probability that an attendee sits in on the information technology session

0.62 = 62% probability that an attendee sits in on the social media session

0.11 + 0.62 = 0.73

0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.

Answer:

total number of pencils = p × n
total number of pencils = 3 × 12 = 36

Step-by-step explanation:

Let's break down the problem into its components. Milan bought packs of pencils, so we can represent the number of packs he bought with the variable "p". We also know that each pack has "n" number of pencils, so the total number of pencils Milan bought can be found by multiplying the number of packs with the number of pencils in each pack.

In mathematical notation, this can be written as:

total number of pencils = number of packs × number of pencils in each pack

or, using the variables we defined:

total number of pencils = p × n

So, if Milan bought 3 packs of pencils and each pack had 12 pencils, the total number of pencils he bought would be:

total number of pencils = 3 × 12 = 36

The length of an interval of time such that the probability that no messages arrive during this interval is 0.94 is 56.88 seconds.

We have to find the length of the time interval that the probability of no messages arrive during this interval is 0.94

Let X be the no.of messages arrive to the server

X follows the poisson distribution with mean λ = 17

Let t be the time interval

The probability of no messages arrive during this interval is 0.94

Then P(0) = 0.94

e⁻⁽λt⁾ = 0.94

λt = ln0.94

17 t   = ln(0.94)

t = ln(0.94)/17

t = 0.026872 / 17 hrs

t = 0.0158

Convert 0.0158 hours to seconds

That is t=0.0158(60)(60)

 =56.88seconds

Hence in 56.88 seconds the time interval that the probability of no messages arrive during this interval is 0.94 .

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Answer:

80

Step-by-step explanation:

155-75=80

Answer:

49.6

Step-by-step explanation:

just divide 397 by 8

Answer:

About 49.63 miles per hour

Step-by-step explanation:

but this is the answer

hope this helps

Answer:

A= (2xy^2)^3. (-1/2x^2yz) (gạch chéo là phần)

B=(-4x3y2z)(  x2y3)3xy

Step-by-step explanation:

ok :)

The solution is : the value of y is 7.

Here, we have,

The perimeter of a rectangle is found by

P = 2 (l+w)

P = 2( 3y+3+2y)

Combine like terms

P = 2(5y+3)

We know the perimeter is 76

76 = 2(5y+3)

Divide each side by 2

76/2 = 2/2(5y+3)

38 = 5y+3

Subtract 3 from each side

38-3 = 5y+3-3

35 = 5y

Divide each side by 5

35/5 = 5y/5

7 =y

We want the length of AD = BC = 2y

AD = 2y=2*y = 14

Hence, The solution is : the value of y is 7.

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The midpoint is 26.

Midpoint in this scenario = mean

(23+29)/2 = 26

Answer:

-6

Step-by-step explanation:

Answer:

here

hope it helps

Step-by-step explanation:

u can pass me ur contact no. if u want help

Answer:

6x² + 15

6

Step-by-step explanation:

Let the number be x.

"the square of a number"

x²

"the product of 6 and the square of a number"

6x²

"the product of 6 and the square of a number plus 15"

6x² + 15

The coefficient is the number that multiplies the variable, so it is 6.

The expression that can represent the given statement is 6x²+15, while the value of the coefficient is equal to 6.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Let the unknown number be represented by x. Therefore, the given statement can be broken down and written as shown below,

1. "the product of 6 and the square of a number"

        6x²

2. "the product of 6 and the square of a number plus 15"

        6x² + 15

Thus, the expression that can represent the given statement is 6x²+15.

Now, the coefficient of the expression is the number that is in multiplication with the unknown variable, therefore, x in this case. Thus, the value of the coefficient is 6.

Hence, the expression that can represent the given statement is 6x²+15, while the value of the coefficient is equal to 6.

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Answer:

1674

Step-by-step explanation:

Answer:

5 meters : 1 gallon

fuel efficiency of Car is 7 meters per gallons

Step-by-step explanation:

Given Tanya car goes 45 meters on 7 gallons.

In terms of ratio  of distance traveled and fuel consumed

45 meters : 7 gallons

since both 45 and 7 are multiple of 7 dividing both side by 7

45/7 meters : 7/7 gallons

5 meters : 1 gallon

Thus, fuel efficiency of Car is 7 meters per gallons.