Which term describes the distribution of this graph?

uniform

skewed left

normal

skewed right
Dot plot. Number line from 4 to 11. 4 dots above 5, 4 dots above 6, 4 dots above 7, 4 dots above 8, 4 dots above 9, and 4 dots above 10. PLEASE HELPPPPP 61 POINTSS

Answer: The y-value of the vertex is

Step-by-step explanation: we know that

The equation of a vertical parabola into vertex form is equal to

where

(h,k) is the vertex of the parabola

In this problem we have

-----> this a vertical parabola open upward

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side

Rewrite as perfect squares

The vertex is the point

The y-value of the vertex is

Answer:

3

Step-by-step explanation:

If he went 18 miles in 6 hours we can simpliy divide 18 by 6 which is 3 miles per hour

Answer:

3.33

Step-by-step explanation:

In this case, the number we have is an even number so you can not choose the one in the middle so you would take those two and add the then divide them by how many numbers you have there which would be 6 in the case and then round it to the nearest decimal.

Answer:

2/7= 28.6%

Step-by-step explanation:

Since those are 2 specific days out of seven, we divide it so that there are 2/7 days. Then we change it to a percentage, which would be the equation of 2/7*100, which is equal to 28.57%, which rounds to 28.6%.

Answer:

15

Step-by-step explanation:

Given:

Kathy sells encyclopedias and earns $40 for each set she sells.

To Find:

How many sets did she sell if she earned $600 last week?

Solve:

Since kathy sells encyclopedias and earns $40 for each set she sells.

And if kathy total is $600

then we do

$600 divide by $40

600/40 = 15

Hence, she sold 15 sets last week.

Kavinsky

Answer:

15

Step-by-step explanation:

This is basically 600/40

600/40 = 15

Answer:

a = 1

b = -1

Step-by-step explanation:

[tex]g(x)=ax^2-b \quad \quad \textsf{(where }\:a\:\textsf{ and }\:b\:\textsf{ are real numbers)}[/tex]

Create 2 equations with b as the subject using the given information.

Equation 1

[tex]\begin{aligned}g(2) &=-5\\\implies a(2)^2-b &=-5\\4a-b &=5\\ b&=4a-5\end{aligned}[/tex]

Equation 2

[tex]\begin{aligned}g(-1) &=2\\\implies a(-1)^2-b &=2\\a-b &=2\\ b &=a-2\end{aligned}[/tex]

Equate the equations and solve for a:

[tex]\begin{aligned}b & =b\\\implies 4a-5 & = a-2\\3a & = 3\\a & = 1\\\end{aligned}[/tex]

Substitute the value of a into Equation 2 and solve for b:

[tex]\begin{aligned}b & =a-2\\a=1 \implies b & =1-2\\b & = -1\end{aligned}[/tex]

Answer:

a = -7/3

b = -13/3

Step-by-step explanation:

Making equations in terms of 'a' and 'b' :

Subtract : Equation 1 - Equation 2

Finding b :

Answer is option B.43

430÷ 10 = 43

By : Modern Einstein

Answer:

C

Step-by-step explanation:

The only way to know if you he waked this amount of distance is to know how much they walked today! So the answer is C

Answer: Your answer is C how far did you walk today?

Step-by-step explanation: I did the k12 unit test. (For proof) it has 10 questions. Question number sevens question is Which term describes the distribution of this graph? and part of the name is Unit Test: Data Distribution - Part 1.

Hope it helped please mark me brainliest :D

Answer:

2.5

Step-by-step explanation:

mean=sumfx/sumf

1×2+2×2+3×5+4×1/2+2+5+1

25/10

2.5

Answer:

You did not provide the tables to choose from, but the relationship between number of books and total price is that each book is 14.25. Hope that helps at least.

Step-by-step explanation:

Sn=n/2(2a+(n-1)d). n=20

S20= 20/2 (2x5+(20-1)3 a=5

S20=10(10+57). d=8-5=3

S20=10x67

S20= 670

Hope this helps you

have a great day

Answer:

[tex]3^{-5} =\frac{1}{3^{5} } = (\frac{1}{3} )^{5}[/tex]
[tex]5^{-3} = \frac{1}{5} *\frac{1}{5} *\frac{1}{5} = \frac{1}{5*5*5}[/tex]

Step-by-step explanation:

15 and 1/15 do not equal anything.

Hope this helped!

Answer:

g(x) = -|x| - 8

Step-by-step explanation:

Finding the values of a, h, and k :

a = slope of the line

h = any horizontal shift (left/right)

k = vertical shift (up/down)

Forming the equation :

⇒ g(x) = (-1)|x - 0| - 8

⇒ g(x) = -|x| - 8

Answer:

[tex]\large{\boxed{\sf y = -1|x-0| -8}}[/tex]

Explanation:

Absolute value of a graph formula:

Identify the vertex : (h, k) = (0, -8)

Take two points: (0, -8), (1, -9)

[tex]\sf Find \ slope \ (a) : \sf \ \dfrac{y_2 - y_1}{x_2- x_1} \ = \ \ \dfrac{-9-(-8)}{1-0} \ \ = \ \ -1[/tex]

Put them together :  [tex]\bf y = -1|x-0| -8[/tex]

Step-by-step explanation:

I guess it is a circular pool.

the area of a circle is

pi×r²

in our case we know

pi×r² = 78.5

3.14×r² = 78.5

r² = 78.5/3.14 = 25

r = 5 m

Answer: 82

Step-by-step explanation:

Answer:

graph C represents this relationship best.

I think that the answer is 123

Answer:

[tex]y=6.50-0.25x[/tex]

Step-by-step explanation:

[tex]\textsf{let}\:(x_1,y_1)=(2,6)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(6,5)[/tex]

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{5-6}{6-2}=-0.25[/tex]

Point-slope form of linear equation:  [tex]y-y_1=m(x-x_1)[/tex]

(where m is the slope and (x₁, y₁) is a point on the line)

Substituting the found slope and a point on the line:

[tex]\implies y-6=-0.25(x-2)[/tex]

[tex]\implies y-6=-0.25x+0.5[/tex]

[tex]\implies y=-0.25x+6.5[/tex]

Rearranging the equation to match the answer options given:

[tex]\implies y=6.50-0.25x[/tex]

Answer:

625

Step-by-step explanation:

p= Kqr³

where K is the constant

K = p/qr³ = 270/6•3³

K= 5/3

p = 5/3• qr³

p = 5/3• 3• 5³

p = 5⁴

p= 625

Hope it helps! :)

Answer:

y = 2x + 10

Step-by-step explanation:

Hi there!

We are given the points (-7, -4) and (-6, -2) and we want to write the equation of the line that passes through these points in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, we need to find the slope (m) of the line

The slope can be calculated from 2 points using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything we need to find the slope, but let's label the values of the points to avoid any confusion & and mistakes

[tex]x_1= -7\\y_1=-4\\x_2=-6\\y_2=-2[/tex]

Substitute these values into the formula (note: remember that the formula has subtraction in it!)

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-2--4}{-6--7}[/tex]

Simplify

m=[tex]\frac{-2+4}{-6+7}[/tex]

Add the numbers

m=[tex]\frac{2}{1}[/tex]

Divide

m=2

The slope of the line is 2

We can substitute that in:

y = 2x + b

Now we need to find b

As the equation passes through both  (-7,-4) and (-6,-2), we can use either point to help solve for b

Taking (-6, -2) for example:

Substitute -6 as x and -2 as y into the equation.

-2 = 2(-6) + b

Multiply

-2 = -12 + b

Add 12 to both sides

-2 = -12 + b

+12  +12

___________

10 = b

Substitute 10 as b.

y = 2x + 10

Hope this helps!

Topic: Finding the equation of a line

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Answer:

R6,724.44 or so I think that's right

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$5000\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &3 \end{cases} \\\\\\ A=5000\left(1+\frac{0.10}{4}\right)^{4\cdot 3}\implies A=5000(1.025)^{12}\implies A\approx 6724.44[/tex]

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$100\\ r=rate\to 6.5\%\to \frac{6.5}{100}\dotfill &0.065\\ t=years\dotfill &6 \end{cases} \\\\\\ A=100e^{0.065\cdot 6}\implies A=100e^{0.39}\implies A\approx 147.70[/tex]

The balance of your account after 6 years with continuous compounding would be approximately $147.56.

To calculate the balance of your account after 6 years with continuous compounding, you can use the formula:

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

where:

[tex]\( A \) =[/tex] the balance after [tex]\( t \)[/tex] years

[tex]\( P \) =[/tex]the principal amount (initial investment) = $100

[tex]\( r \) =[/tex] the annual interest rate (in decimal form) = 6.5% = 0.065

[tex]\( t \) =[/tex] the number of years = 6

[tex]\( e \) =[/tex] Euler's number (approximately 2.71828)

Let's plug in the values and calculate the balance:

[tex]\[ A = 100 \times e^{0.065 \times 6} \]\[ A = 100 \times e^{0.39} \]\[ A = 100 \times 1.47560080488 \]\[ A = 147.560080488 \][/tex]

Rounding the answer to the nearest hundredth:

[tex]\[ A \approx $147.56 \][/tex]

So, the balance of your account after 6 years with continuous compounding would be approximately $147.56.

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Using the normal distribution, it is found that there is a 0.4483 = 44.83% probability of a random person on the street having an IQ score of less than 98.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Normal Probability Distribution

In a normal distribution with mean  and standard deviation, the z-score of a measure X is given by:

[tex]Z=\dfrac{x-\mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are, respectively, given by and.

The probability of a random person on the street having an IQ score of less than 98 is the p-value of Z when X = 98, hence:

[tex]Z=\dfrac{x-\mu}{\sigma}[/tex]

[tex]Z=\dfrac{98-100}{15}[/tex]

[tex]Z=-0.13[/tex]

Has a p-value of 0.4483.

0.4483 = 44.83% probability of a random person on the street having an IQ score of less than 98.

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Answer:

A Circle

Step-by-step explanation:

Given that the variables are complex numbers, the value of the complex expression [tex]\frac{\gamma}{\alpha} +\bar{\frac{\alpha}{\beta}}[/tex] is -2

The given parameters are:

[tex]\alpha + \beta + \gamma = 0[/tex]

[tex]\frac{1}{\alpha} + \frac{1}{\beta} + \frac{1}{\gamma} = 0[/tex]

Rewrite the first equation as:

[tex]\alpha + \beta = - \gamma[/tex]

Take LCM in the second equation

[tex]\frac{\alpha + \beta}{\alpha \beta} + \frac{1}{\gamma} = 0[/tex]

So, we have:

[tex]\frac{ - \gamma}{\alpha \beta} + \frac{1}{\gamma} = 0[/tex]

Rewrite as:

[tex]\frac{1}{\gamma} = \frac{\gamma}{\alpha \beta}[/tex]

Multiply through by [tex]\alpha[/tex]

[tex]\frac{\alpha}{\gamma} = \frac{\gamma}{\beta}[/tex]

Inverse both sides

[tex]\frac{\gamma}{\alpha} = \frac{\beta}{\gamma}[/tex]

Make [tex]\beta[/tex] the subject in [tex]\alpha + \beta + \gamma = 0[/tex]

[tex]\beta =-(\alpha + \gamma)[/tex]

So, we have:

[tex]\frac{\gamma}{\alpha} = \frac{-(\alpha + \gamma)}{\gamma}[/tex]

Expand

[tex]\frac{\gamma}{\alpha} = -\frac{\alpha}{\gamma}- 1[/tex]

This gives

[tex]\frac{\gamma}{\alpha} +\frac{\alpha}{\gamma} = - 1[/tex]

Make [tex]\gamma[/tex] the subject in [tex]\alpha + \beta + \gamma = 0[/tex]

[tex]\gamma = -(\beta + \alpha)[/tex]

So, we have:

[tex]\frac{\gamma}{\alpha} +\frac{\alpha}{-(\beta + \alpha)} = - 1[/tex]

Split

[tex]\frac{\gamma}{\alpha} +\bar{\frac{\alpha}{\beta}} + \frac{\alpha}{\alpha} = - 1[/tex]

Evaluate the quotient

[tex]\frac{\gamma}{\alpha} +\bar{\frac{\alpha}{\beta}} + 1 = - 1[/tex]

Subtract 1 from both sides

[tex]\frac{\gamma}{\alpha} +\bar{\frac{\alpha}{\beta}} = - 2[/tex]

Hence, the value of [tex]\frac{\gamma}{\alpha} +\bar{\frac{\alpha}{\beta}}[/tex] is -2

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Answer:

42 degrees

Step-by-step explanation:

48 + x = right angle = 90 degrees

48+ x = 90

x = 42 degrees

The percentage of players weighing greater than or equal to 167 pounds is 75%.

A box plot is used to study the distribution and level of a set of scores. On the box, the first line to the left represents the lower (first) quartile. 25% of the score represents the lower quartile.

On the box plot, the lower quartile is 167.

Students that weigh greater than 167 = 100 - 25 = 75%

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Answer: 8

Step-by-step explanation: divion

Answer:

Step-by-step explanation: