Step 1: Calculate the measures of center for Mrs. Hampton's data in the dot plot (round your answer to the nearest tenths place). Show your work and briefly explain each step. (Measures of Center are the Mean and Median of a data set)

Answer:

The answer is B.

Step-by-step explanation:

You can expand it in a simplier way using :

[tex] {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]

So for this question :

[tex] {(5x + 7)}^{2} \\ = {(5x)}^{2} + 2(5x)(7) + {(7)}^{2} \\ = 25 {x}^{2} + 70x + 49[/tex]

Answer:

B. 25x^2+70x+49

Step-by-step explanation:

To multiply we can use a method called FOIL. In this method, we multiply the first terms of each binomial, then the outer terms (first and last), then the inner terms (2nd and 3rd), and finally the last terms (2nd and last). The two binomials in this case are (5x+7)(5x+7).

So this means we first multiply 5x*5x, then 5x*7, then 7*5x, and finally 7*7. Multiplying these out we get 25x^2 + 35x + 35x +49. Finally, combining like terms we get 25x^2+70x+49, which is our answer.

Answer:

Third option is correct.

Step-by-step explanation:

Take a closer look at the box plot given in the question. The range of the values represented in the box plot is starts from where the whiskers begins from our left, and where the whiskers to our right ends. The range of values of the points awarded ranges from 0 - 100, as represented on the box plox. Also,the median is indicated by the vertical line that divides the rectangular box into two. The median point = 70.

Now, examine all the dot plots given as options. The dot plot that has a range of 0 - 100, and a median of 70, is the dot plot that best represents the box plot.

Thus, the third option among the answer choices given would be out answer. The third option shows a dot plot with range of values of points from 0 - 100, and also a median of 70 points.

Answer:

The length of the hypotenuse is 8 inches; the length of the longer leg is 4√3 inches.

Step-by-step explanation:

Note that tan 60 degrees = (length of longer leg) / (length of shorter leg), or

                tan 60 degrees = (length of longer leg) / 4 in.

Thus, (length of longer leg) = (4 in)(tan 60 degrees)

                                              = (4 in) [√3/1] = 4√3 in

Also, cos 60 degrees = (adjacent side) / (hypotenuse.  We want to find the hypotenuse and thus solve this equation for it:

(hypotenuse) = (adjacent side) / (cos 60) = (4 in)( 2/1 ) = 8 in

The length of the hypotenuse is 8 inches; the length of the longer leg is 4√3 inches.

Answer:

1²+3

Step-by-step explanation:

I'm not to sure I hope this helped.

[tex]P_(_A_o_r_B_)[/tex] = 1

This means that the probability of event A or event B of happening is 1 or certainly would happen.

Answer:

Option A, y=8

Step-by-step explanation:

If you graph each of the equations, you will find that y=8 is the only line that crosses through the point (-3,8)

Also,

If you notice the given point, the y-coordinate is 8 indicating that the point lies on the line that has y as 8

Hope that helps!!

Answer:

Step-by-step explanation:

Let the number be x

Twice the difference of a number and 5 is written as

2( x - 5)

three times the sum of the number and 2 is written as

3( x + 2)

Equate them

We have

2(x - 5) = 3(x + 2)

Expand

2x - 10 = 3x + 6

Group like terms

2x - 3x = 16 + 10

- x = 16

Multiply through by - 1

x = - 16

Hope this helps you

Answer:

a = 8.

Step-by-step explanation:

a^2 + b^2 = c^2

b = 6; c = 10

a^2 + 6^2 = 10^2

a^2 + 36 = 100

a^2 = 64

a = plus or minus 8

Since side lengths can't be negative, a = 8.

Hope this helps!

Answer:

Option B

Step-by-step explanation:

f(t) = 5000

g(t) = 250t

h(t) = f(t) + g(t) = 5000 + 250t

After 5 years, the amount of money in the account is:

h(t = 5) = 5000 + 250(5) = 5000 + 1250 = 6250$

Answer:

Step-by-step explanation:

#2:  Amber is correct.  The distribution is skewed to the left.

Answer:

(B) There is no solution.

Step-by-step explanation:

Given the two lines A and B where:

[tex]L$ine A: x + y = 6 \implies y=6-x\\$Line B: x + y = 4 \implies y=4-x\\$Therefore:$\\6-x=4-x\\-x+x=4-6\\0=-2\\$Since, $ 0\neq -2,$ there is no solution.[/tex]

The correct option is B.

Answer:

A

Step-by-step explanation:

Just took test, can I have Brainliest.

Answer:

42.1

Explanation step-by-step:

Working out the lenght of the blue-dashed line:

SOH

47 is the Hypotenuse.

the blue line is the adjacent.

adjacent= Cos(30) x47

adjacent= 40.7

Working out x :

40.7 is the opposite this time.

x is the adjacent.

x = 40.7/ Tan(44)

x = 42.1

Answer:

150 cans were thrown away

Step-by-step explanation:

If the weight of 10 aluminum cans=0.16 kilogram

Each can weighs=0.16 kilograms/10

=0.016kg per can

If the family threw away 2.4 kilogram of aluminum in a month,

How many cans did they throw away?

Total cans thrown away= Total kilogram of cans/each kilogram of cans

=2.4kg/0.016kg

=150 cans

150 cans were thrown away

Answer:

-11x+8 or 8-11x

Step-by-step explanation:

Answer:

No, it is not possible to construct a triangle with lengths of its sides as 4 cm, 3 cm and 7 cm because here we see that sum of the lengths of two sides is equal to third side i.e., 4+3 = 7. As we know that, the sum of any two sides of a triangle is greater than its third side, so given statement is not correct.

Step-by-step explanation:

Answer:

El ascensor recorrió unos 39 metros

Step-by-step explanation:

Segun la pregunta cada cada piso tiene 3 metros de altura, por lo tanto para calcular los metros que recorrió el ascensor tenemos que hacer el siguiente calculo:

metros desde el primer piso al quinto piso=3 metros*4=12 metros

metros desde el quinto piso al segundo piso=3 metros*3=9 metros

metros desde el segundo piso al octavo piso=3 metros*6=18 metros

Por lo tanto los metros que recorrió el ascensor=12 metros+9 metros+18 metros

metros que recorrió el ascensor=39 metros

El ascensor recorrió unos 39 metros

Answer:

A

achievements

Step-by-step explanation:

Answer:

3

[tex]d\in R,\hspace{5}d\neq 0[/tex]

Step-by-step explanation:

You can solve for any variable. From the first equation, let's solve for c :

[tex]\frac{c+1}{d} =5\\\\c+1=5d\\\\c=5d-1[/tex]

Now, replace the value of c into the other equation:

[tex]\frac{30d}{2c+2} \\\\\frac{30d}{2(5d-1)+2} \\[/tex]

Using distributive property

[tex]\frac{30d}{10d-2+2} =\frac{30d}{10d} =3[/tex]

However, keep in mind that this is true for:

[tex]d\in R,\hspace{5}d\neq 0[/tex]

Answer:

The absolute value function that models the path of the ball is

[tex]f(x) = \left | -\frac{3}{4}\cdot x + 15 \right |[/tex]

The coordinates when the ball passes within 3 meters of the wall is [tex]\left (3, 12\tfrac{3}{4} \right )[/tex]

Step-by-step explanation:

Given that the ball rolls without other external influences, we have;

(y - 0) = (x - 15)

The slope, m is give by the relation;

m = (y₂ - y₁)/(x₂ - x₁)

m = (15 - 0)/(0-20) = -3/4

The equation of the path of the ball in slope and intercept form is presented as follows;

y = m·x + c

15 = -3/4 ×0 + c = 15

c = 15

The absolute value function that models the path of the ball is then;

[tex]f(x) = \left | -\frac{3}{4}\cdot x + 15 \right |[/tex]

The vale of the function when x = 3 is given by the relation

[tex]f(x) = \left | -\dfrac{3}{4}\times 3 + 15 \right | = \dfrac{51}{4}[/tex]

Therefore, we have the coordinates as  [tex]\left (3, 12\tfrac{3}{4} \right )[/tex].

Answer:

Step-by-step explanation:

8 faces and 12 vertices means hexagon as its base

That means 6+6 edges of its bases and 6 side edges.

6+6+6=18  

Answer:Are there any options?

Step-by-step explanation:

Two or more expressions with an Equal sign is called as Equation. Two numbers are x =-1/2 and y=-1/2 whose product is 1/4 and which add to -1.

Two or more expressions with an Equal sign is called as Equation.

We need to find two numbers whose product is  1/4 and add to -1.

Let the two numbers are x and y.

By given,

Two numbers multiply to 1/4

xy=1/4

Two numbers add to -1

x+y=-1

Let x=-y-1

Substitute in equation 1.

(-y-1)y=1/4

-y²-y-1/4=0

Multiply negative on both sides

y²+y+1/4=0

Use quadratic formula

b=1,c=1/4,a=1

y=-1±√1-1/2=-1/2

Now substitute y in x+y=-1

x-1/2=-1

x=-1+1/2

x=-1/2

Hence the two numbers are x =-1/2 and y=-1/2 whose product is 1/4 and which add to -1.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

B. -1/3x

Step-by-step explanation:

Start with

y = mx + b

The y-intercept is 0, so we have

y = mx

To find m, the slope, start at (0, 0).

slope = m = rise/run

Go up 1 unit and left 3 units. Rise = 1; run = -3.

m = 1/(-3) = -1/3

Now we have

y = -1/3x

Answer: B.

Answer:

AB= 5 units

Image of coordinates is shown in the attachment.

Same number of rows to chairs in a row would form a square.

Use the total number of students as the area

Find the number or rows by taking the square root of student:

The square root of 7033 is 83.86

Round up to 84

Total seats would be rows x seats per row:

84 x 84 = 7,056 total seats

7056 seats - 7033 students = 23 empty seats

Answer:

Step-by-step explanation:

This problem has to do with matrix multiplication.

we have a row matrix multiplying a 2x2 matrix, this will result to a row matrix

=[4*-2+2*7] and [4*5+2*-1]

=[-8+14] and [20+-2]

=[6  18]

Answer:

c. (6,18)

Step-by-step explanation:

Answer:

d = 6

Step-by-step explanation:

5d - 10 = 20​

Add 10 to each side

5d - 10+10 = 20+10

5d = 30

Divide by 5

5d/5 = 30/5

d = 6​

Answer:

d = 6

Step-by-step explanation:

5d - 10 = 20

Add 10 to both sides of the equation

5d = 30

Divide both sides of the equation by 5

d = 6

Hope this helps :)

Answer:

Well on a machine there are 3 fundamental areas which are the point of operation, the power transmission device, and the operating controls.

You can find more of this information on google if youd like.

Answer:

The 95% confidence interval (6.9, 8.2) they obtained means that "We are 95% confident that the population mean duration is between 6.9 and 8.2 days".

Option B from the complete Question.

Step-by-step explanation:

Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error of the mean)

Critical value will be obtained using the t-distribution if there is no information provided for the population standard deviation and it is obtained from the z-tables if the population standard deviation is known or the sample size is large enough that the sample properties can be approximated to be the same as the population properties.

Standard error of the mean = σₓ = (σ/√n)

σ = standard deviation of the sample

n = sample size

Confidence Interval = (Sample mean) ± [(Critical value) × (standard Error of the mean)]

So, the confidence interval (6.9, 8.2) obtained in the question means that "We are 95% confident that the population mean duration is between 6.9 and 8.2 days".

Hope this Helps!!!