300,000+5,000+80+8· 1/100 +9· 1/10,000

Answer:

The mode of this list of numbers would still be [tex]7[/tex] (the mode did not change) after "[tex]5[/tex]" was added to the list.

Step-by-step explanation:

The mode of a list of elements is the member that appears the most frequently.

The original list of numbers in this question [tex][5,\, 7,\, 7,\, 7,\, 1,\, 2,\, 9,\, 8][/tex] included the following members:

[tex]\begin{array}{c|c} \text{Member} & \text{Number of appearances} \\ \hline\hline 1 & 1 \\\hline 2 & 1 \\\hline 5 & 1\\\hline 7 & 3 \\\hline 8 & 1 \\\hline 9 & 1 \\\end{array}[/tex]

[tex]\begin{array}{c|c} \text{Member} & \text{Number of appearances} \\ \cline{1-2}\\[-1em]\cline{1-2} 1 & 1 \\\cline{1-2} 2 & 1 \\\cline{1-2} 5 & 1\\\cline{1-2} 7 & 3 \\\cline{1-2} 8 & 1 \\\cline{1-2} 9 & 1 \\\end{array}[/tex].

The member "[tex]7[/tex]" appeared more often than any other member of this list. Thus, the mode of the original list was "[tex]7\![/tex]".

Adding "[tex]5[/tex]" to the original list would give the list [tex][5,\, 7,\, 7,\, 7,\, 1,\, 2,\, 9,\, 8,\, 5][/tex]. Members of this list are:

[tex]\begin{array}{c|c} \text{Member} & \text{Number of appearances} \\ \hline\hline 1 & 1 \\\hline 2 & 1 \\\hline 5 & 2\\\hline 7 & 3 \\\hline 8 & 1 \\\hline 9 & 1 \\\end{array}[/tex]

[tex]\begin{array}{c|c} \text{Member} & \text{Number of appearances} \\ \cline{1-2}\\[-1em]\cline{1-2} 1 & 1 \\\cline{1-2} 2 & 1 \\\cline{1-2} 5 & 2\\\cline{1-2} 7 & 3 \\\cline{1-2} 8 & 1 \\\cline{1-2} 9 & 1 \\\end{array}[/tex].

The member "[tex]7[/tex]" still appeared more often than any other member of this list. Thus, the mode of the new list would also be "[tex]7\![/tex]".

Answer:

the last one

Step-by-step explanation:

(clustered around 1 and 3)

Answer:

The data are clustered from 1 to 3, so most teams won 1 to 3 games.

Step-by-step explanation:

There is only 1 dot at 8 and more near 1-3

Answer:

[D] 1/14

Step-by-step explanation:

Question to answer:

What is the probability of picking an orange marble and flipping tails?

Solve:

let see how many orange marbles are there:

As we can see there is 1 orange marble out of 7 total. The probability of picking an orange marble is 1/7.

Now let see how many side a coin have:

As we can see the probability of flipping tails is 1/2 because 1 side is tails out of 2 sides total.Now multiply straight across:

1/2 × 1/7

→ 1 × 1 = 1

→ 2 × 7 = 14

Thus, the result is 1/14

Hence, the answer is [D] 1/14

~lenvy~

Answer:

[tex]\sf D)\quad\dfrac{1}{14}[/tex]

Step-by-step explanation:

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\implies \sf P(\textsf{orange marble})=\dfrac{1}{7}[/tex]

[tex]\implies \sf P(\textsf{tails})=\dfrac{1}{2}[/tex]

[tex]\implies \sf P(\textsf{orange marble})\:AND\:P(\textsf{tails})=\dfrac{1}{7} \times \dfrac{1}{2}=\dfrac{1}{14}[/tex]

Answer:

  y = 1.36x

Step-by-step explanation:

There will be no touchdown throws if no games are played. The y-intercept must be zero. That is, the number of touchdown throws is considered to be proportional to the number of games, with the constant of proportionality being 1.36:

  y = 1.36x

Step-by-step explanation:

the angle of elevation of the sun is θ is related to the given sides of the right triangle (assuming the ground is horizontal and the flag pole is vertical) by tangent.

the shadow is adjacent to the angle while the flagpole is opposite to it.

so to find the angle of elevation:

arctan(20/8.9)

= 66.01 degrees

comment if you have any doubt or need further help.

Angle be alpha

[tex]\\ \rm\Rrightarrow tan\alpha=\dfrac{P}{B}[/tex]

[tex]\\ \rm\Rrightarrow tan\alpha=\dfrac{20}{8.9}[/tex]

[tex]\\ \rm\Rrightarrow tan\alpha=2.25[/tex]

[tex]\\ \rm\Rrightarrow \alpha=tan^{-1}(2.25}[/tex]

[tex]\\ \rm\Rrightarrow \alpha=66.04°[/tex]

Answer:

y=-3(x-2)^2+4

Step-by-step explanation:

The general equation for the data given is y = a(x-2)^2 + 4 based on the vertex information.

To find a, we use (3,1) to substitute. 1 = a(3-2)^2 + 4   or  a = -3

So the full equation is y = -3(x-2)^2 + 4

Answer:

440 more tshirtS

Step-by-step explanation:

because if you do 70x4=280 then 20x4=80 280+80=360 800-360=440

70×4=280+20×4-800

Step-by-step explanation:

[tex] \frac{19695}{x - 15605} = 100[/tex]

[tex]19695 = 100(x - 15605)[/tex]

[tex]19695 = 100x - 1560500[/tex]

[tex]19695 + 1560500 = 100x[/tex]

[tex]15801 95 = 100x[/tex]

[tex] \frac{1580195}{100} = x[/tex]

[tex]x = 15801.95[/tex]

APR= (interest + fees/ loan amount) / no. of days ×355 ×10

= 5000/226 / 24 × 365 × 10

= 33640.83

= 33640.83/365

= 93%

Answer:

62.83185

Step-by-step explanation:

C=2πr=2·π·10≈62.83185

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Circumference of circle is :

[tex]\qquad \tt  \dashrightarrow \:\pi d[/tex]

where,

[tex]\qquad \sf  \dashrightarrow \:c = 20 \pi \: \: cm[/tex]

Now, let's plug approximate value of pi

[tex]\qquad \sf  \dashrightarrow \:c = 20 \times 3.14\: \: [/tex]

[tex]\qquad \sf  \dashrightarrow \:c = 62.8 \: \: cm[/tex]

diameter=4ft=12(4)=48in

So

Area of table:-

Area of platter:-

Difference:-

Answer:

1554.3 in²

Step-by-step explanation:

Given information:

1 foot = 12 inches

⇒ 4 ft = 4 × 12 = 48 in

Radius = ¹/₂ diameter

⇒ Radius of table = ¹/₂ × 48 in = 24 in

⇒ Radius of platter = 24 in - 15 in = 9 in

Area of a circle = πr²

⇒ Area of table = 3.14 × 24² = 1808.64 in²

⇒ Area of platter = 3.14 × 9² = 254.34 in²

Difference = area of table - area of platter

                  = 1808.64 - 254.34

                  = 1554.3 in²

Answer:

Hope the pictures will help you..

Step-by-step explanation:

-10(y-4)+3y=5

-10y +40+3y =5

-7y = -40 +5

-7y=-35

7y = 35

{y= 5}

--------------

y=5

x=y-4

x=5-4

{x=1}

Answer:

[tex]f(x)=\dfrac{1}{x+4}[/tex]

Step-by-step explanation:

Asymptote: a line which the curve gets infinitely close to, but never touches.

From inspection of the graph, we can see that there is an asymptote at [tex]x=-4[/tex], since the curve gets infinitely close to this line, but never touches it.

Therefore, the function is undefined at [tex]x=-4[/tex]

For a rational function to be undefined, the denominator must equal zero at that point.  Therefore, we are looking for a rational function with a denominator that equals zero when [tex]x=-4[/tex].

Therefore, option D is the correct solution, since:

[tex]f(-4)=\dfrac{1}{-4+4}=\dfrac{1}{0} \implies \sf und efined[/tex]

Answer:

Question 1

a) { 3, 5, 9 }

b) { 9, 11 }

c) { }

d) { 11, 13 }

e) {11}

f) {3, 5, 7}

g) {11, 13}

h) {9}

Question 2 ( i )

a) { a,b,c,d }

{a}

{b}

{c}

{d}

{a,b,c}

{a,b}

{a,c}

{a,d}

{b,c}

{b,d}

{c,d}

{a,b,d}

{b,c,d}

{a,c,d}

{ }

b) {1,2,3}

{1,2}

{1,3}

{1}

{2}

{3}

{2,3}

{ }

c) {p, q ,r}

{ p,q}

{ p,r}

{ q,r}

{p}

{q}

{r}

{ }

d) { 5,10}

{ 5}

{10}

{ }

e) {x}

{ }

f) { ○ }

{ }

Question 2 ( ii )

(c) The set of natural numbers

Answer:

20/4=c

Step-by-step explanation:

You can tell that that is the right answer, because 20-4=c means that each person would get 16 cards, and if you multiply that by 4(the amount of people that are playing) It's way more than 20 cards, so you know that 20/4=c is the right answer. Hope that helped;)

Tan(-pi/12) = sqrt(7-4sqrt(3)) = -2 + sqrt(3)

answer: -2 + sqrt(3)

Answer:

5^(3)i^(9)= five cubes times i to the power of 9=125i

Step-by-step explanation:

Raise 5 to the power of 3

rewrite i9 as (i^4)2^i

so, you get 125((i^4)^2i)

i^4=1

125(1^2i)

125i

[tex]~~~~~\dfrac 13 \ln\left(x^6 \right) +\dfrac 12 \ln\left(x^2\right) = \ln x^a\\\\\implies \ln \left(x^6 \right)^{\tfrac 13} + \ln \left(x^2 \right)^{\tfrac 12} = \ln x^a\\ \\\implies \ln x^2 + \ln x = \ln x^a\\\\\implies \ln(x^2 \cdot x) = \ln x^a \\\\\implies \ln x^3 = \ln x^a\\ \\\implies 3 \ln x = a \ln x\\\\\implies a =3[/tex]

Answer:

x = -2 & x= 1

Step-by-step explanation:

Zeroes are the x-axis value where the function crosses the x-axis!

Answer:

32

Step-by-step explanation:

Add up all the numbers and then divide by how many numbers there are.

Jordan's scale model would let him have a proportional measurement of the actual drawing

The height of Jordan's model is 48.8 cm

The scale ratio is represented as:

Ratio = Model : Actual

So, we have:

1 cm : 0.5 m = Model : 24.4 m

Express as fractions

1 cm / 0.5 m = Model / 24.4 m

Multiply both sides by 24.4 m

Model = 24.4 m * 1 cm / 0.5 m

Evaluate the product

Model = 48.8 cm

Hence, the height of Jordan's model is 48.8 cm

Read more about scale models at:

https://brainly.com/question/19434385

Answer:

it is C. 48.8

Step-by-step explanation:

new/original
24.4 divided by 0.5
=48.8


or the longer way:
24.4 divided by 1/2

24.4 * 2/1=
48.8

Answer:

ur right its A

Step-by-step explanation:

Using proportions, it is found that her discount is of $0.29664.

A proportion is a fraction of a total amount.

In this problem, the total amount she spent on gas is given by:

T = $45.23 + $102.34 + $13.67 + $34.56 + $48.72 + $52.12 = $296.64.

Considering that she receives ten cents off per gallon on gas for every $100 she spends, we apply the proportion to find that her discount is given by:

[tex]D = 0.1 \times \frac{296.64}{100} = 0.29664[/tex]

Her discount is of $0.29664.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

121.1

Step-by-step explanation:

The measurement j will be 121.1

Law of sine says that ratio of sine of an angle and its opposite side is always same for every 3 angles of the triangle and their opposite sides.

In ΔABC,

sinA/a = sinB/b = sinC/c

in the given triangle ΔIJK

∠J=34°

∠I=72°

i=206

So, using law of sine,

sinI/i = sinJ/j

⇒sin72°/206=sin34°/j

⇒j=(sin34°/sin72°)*206

⇒j=121.1

Therefore, the value of j will be 121.1

Learn more about Law of sine,

Here: https://brainly.com/question/4372174

#SPJ2

Answer:

83%

Step-by-step explanation: