A dotplot of the distribution of height for Mrs. Navard’s class is shown, along with some numerical summaries of the data. Suppose that Mrs. Navard has the entire class stand on a 6-inch high platform and then asks the students to measure the distance from the top of their heads to the ground.
What are the mean and median of the new distribution of distance?

The maximum possible perimeter of the triangle 25cm.

What is perimeter of a triangle?

The length of all a triangle's sides added together yields the perimeter of a triangle.

How to calculate the perimeter of a triangle?

Add the lengths of the triangle's sides to determine its perimeter. For instance, the perimeter of a triangle with sides a, b, and c is P = a + b + c.

Given the lengths of sides of triangle are 7cm, 8cm, and 10cm.

The perimeter of the triangle is 7 + 8 + 10 = 25cm

Therefore, the maximum possible perimeter of the triangle 25cm.

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Answer:

C

Step-by-step explanation:

Using it's formula, the variance of the data-set is of 15 units squared.

For this problem, the mean is given by:

Mean = (3 + 4 + 5 + 7 + 10 + 12 + 15)/7 = 8.

Hence the variance is given as follows:

Variance = 1/8 x [(3-8)² + (4-8)² + (5-8)² + (7-8)² + (10-8)² + (12-8)² + (15-8)²] = 15.

Hence the variance of the data-set is of 15 units squared.

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The correct answer is D. the x- intercept of the given graph is (-1.75,0) and y - intercept is (0,3)

The x-intercept is the location where a line's graph crosses the x-axis.

The y-intercept is the location where a line's graph crosses the y-axis.

The shapes of these points are (x,0) and (0,y), respectively.

Utilize the fact that all x-intercepts have a y-value of zero and all y-intercepts have an x-value of zero to get the x- and y-intercepts algebraically. Set x=0 and find the equivalent y value to calculate the y -intercept. Set y=0 and then figure out the matching x value to discover the x -intercept.

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The equation of line can be written as, y = 2/3x + 2

Given,

The points, (x, y) = (-3, 0)

Slope = 2/3

Equation of a line, y = mx + c

Where, m is the slope and c is the y-intercept.

Here, m is 2/3.

The point at the x-intercept has co-ordinates : (-3, 0)

Where, x is -3 and y is 0.

So, substitute the values in equation:

y = mx + c

0 = 2/3 × (-3) + c

0 = -2 + c

c = 2

Therefore, the equation of line will be:

y = 2/3x + 2.

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The transformation that occurs from f(x) to g(x) is the graph of f(x) is shifted to the left to create g(x).

The equations of the functions are given as

f(x) = |x|

g(x) = |x + 3|

The above implies that

g(x) = f(x + 3)

When a function is shifted to the left by h units, it is represented as

g(x) = f(x + h)

This means that

h = 3

So, the transformation that occurs from f(x) to g(x) is the graph of f(x) is shifted to the left to create g(x).

Hence, the required transformation that occurs from f(x) to g(x) is the graph of f(x) is shifted to the left to create g(x).

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The expression that is equivalent to the given expression where the expression is given as (18)2⋅(19)2 is (18 * 19)^2

The expression is given as

(18)2⋅(19)2

Rewrite the above expression properly

So, we have

(18)^2 * (19)^2

The factors in the above expression have the same exponent.

So, the expression can be rewritten as

(18 * 19)^2

Hence, the expression that is equivalent to the given expression where the expression is given as (18)2⋅(19)2 is (18 * 19)^2

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The margin of error for a 95% confidence interval assuming the previous study enrolled 600 individuals is C . E = ± 4.00

Based on the information, the following can be deduced:

n = 600

mean = 490.

standard deviation = 50.

At 95% confidence interval, z will be:

= 1 - 95%

= 0.05

Using the distribution table, the value will be Z(0.05/2) = Z value of 0.025 = 1.96

Therefore, the margin of error for a 95% confidence interval assuming the previous study enrolled 600 individuals will be:

= ± 1.96 × 50/✓n

= ± 4.00

In conclusion, the correct option is C.

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Answer:

112.5

Step-by-step explanation:

450(45/220) = 450/4 = 112.5

The statement that describes C’D’ is (d) C'D' and CD are equal in length.

The complete question is added as an attachment

The statement is given as:

A reflection of CD about the y-axis to form C’D’

When a line is reflection, the line segment of the image and pre-image are congruent

This is so because the reflection transformation is a rigid transformation

Hence. the statement that describes C’D’ is (d) C'D' and CD are equal in length.

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Complete question

The line segment is reflected about the y-axis to form C'D'. Which statement describes C'D'?

C'D' is perpendicular to CD.

C'D' is half the length of CD.

C'D' is greater than twice the length of CD.

C'D' and CD are equal in length.

Answer:

y=-23/6

Step-by-step explanation:

Answer:

y=-26

Step-by-step explanation:

multiply each side by 3

Y+1/2-2y-3=12

Multiply each side by 2

Y+1-2y-3=24

Add 3 to each side

Y+1-2y=27

Subtract each side by 1

Y-2y=26

-y=26

Multiply each side by -1

Y=-26

Answer:

74

Step-by-step explanation:

(74)-18=56

74 subtracted from 18 gives 56

Answer: B is the correct answer

Step-by-step explanation:hope it helps, brainliest? i could really use it

The digit in each indicated place value in the number 6,048,230,157 are as follows:

A place value can be defined as a numerical value which denotes a digit based on its position in a given number and it includes the following:

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The value of x in the logarithm equation log₄(9x²) = log₂(5x - 8) is x = 4

The equation is given as

log₄(9x²) = log₂(5x - 8)

Apply the change of base law of logarithm

So, we have

log(9x²)/log(4) = log₂(5x - 8)

Express 4 s 2^2 and 9 as 3^2

So, we have

log(3x)²/log(2²) = log₂(5x - 8)

Apply the power law of logarithm

So, we have

2log(3x)/2log(2) = log₂(5x - 8)

Evaluate the quotient

So, we have

log(3x)/log(2) = log₂(5x - 8)

Apply the change of base law of logarithm

So, we have

log₂(3x) = log₂(5x - 8)

Cancel out the common base

So, we have

3x = 5x - 8

Collect the like terms

So, we have

3x - 5x = - 8

Evaluate the like terms

So, we have

-2x = - 8

Divide both sides by -2

So, we have

x = 4

Hence, the value of x in the logarithm equation log₄(9x²) = log₂(5x - 8) is x = 4

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Step-by-step explanation:

100 nsmzmsmsmsmsmsmsnsnnsnsbsnjsjjsjsjsj

Answer:

-1

Step-by-step explanation:

Assuming "ground level" is 0, then the one below it (parking level A) would be -1.

Answer:

f(x)/y = |x - 3| y

Step-by-step explanation:

Answer: 18x-  9

Step-by-step explanation:

1.) Put the numbers in their correct lineup. 18 * x - 9

2. Add parentheses around 18 * x, secluding them away from the -9.
(18 * x) -9

3.) Remind yourself of PEMDAS (Parentheses, Exponents, Multiplication, Division, Add, and Subtract). In this equation, 18 * x are in parentheses().
(18 * x)

4.) Multiply 18 * x... Which equals 18x.

5. Equation should now look like : 18x - 9

6. You can't combine those two numbers because the coefficiant (The coefficiant is 18.) and the regular number (-9) are not equal.

8. Answer : 18x-9

Step-by-step explanation:

16 3/4 days in total.

that are (16×4 + 3)/4 = 67/4 days.

he has taken

1 3/4 = (1×4 + 3)/4 = 7/4 days

4 2/3 = (4×3 + 2)/3 = 14/3 days

2 1/6 = (2×6 + 1) = 13/6 days

to be able to add abd subtract them directly, we need to bring all fractions to the same denominator.

we have 3, 4, 6 : the smallest common multiple is 12 (can be divided without remainder by 3, 4 and 6).

we need to multiply each fraction by a fitting n/n factor to bring the denominators to 12 and keep the overall value of the fraction unchanged.

67/4 = 67/4 × 3/3 = 201/12

7/4 = 7/4 × 3/3 = 21/12

14/3 = 14/3 × 4/4 = 56/12

13/6 = 13/6 × 2/2 = 26/12

the remaining vacation time is

201/12 - 21/12 - 56/12 - 26/12 = 98/12 = 49/6

49/6 = 8 and remainder 1 = (8×6 + 1)/6 = 8 1/6 days

Answer:

Igualdad matemática es la proposición de equivalencia existente entre dos expresiones algebraicas conectadas a través del signo = en la cual, ambas expresan el mismo valor. La relación de igualdad establecida en una expresión de este tipo se emplea para denotar que dos objetos matemáticos expresan el mismo valor.

Igualdad matemática es la proposición de equivalencia existente entre dos expresiones algebraicas conectadas a través del signo = en la cual, ambas expresan el mismo valor. La relación de igualdad establecida en una expresión de este tipo se emplea para denotar que dos objetos matemáticos expresan el mismo valor.Espero te sirva :))

the formula for the polynomial is:

p(x) = (-3/10)*(x - 2)^2*(x + 5)

Here we have a polynomial with the following roots:

So, if we define A as the leading coefficient, we can write the polynomial as:

p(x) = A*(x - 2)^2*(x + 5)

We know that the y-intercept is -6, so evaluating in x = 0 we should get:

p(0) = -6 = A*(0 - 2)^2*(0 + 5) = A*4*5 = A*20

         -6/20 = A = -3/10

Then the formula for the polynomial is:

p(x) = (-3/10)*(x - 2)^2*(x + 5).

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Answer:

[tex]\sqrt{20} \text{ or } 2\sqrt{5}[/tex]

Step-by-step explanation:

So in this question we want to use the Pythagorean Theorem which essentially gives us a relationship between the sides of a triangle and is as follows: [tex]a^2+b^2=c^2[/tex]

In this formula the "a" and "b" represent the base and the height and "c" represents the hypotenuse of the triangle

The order in which you assign "a" and "b" do not matter, so let's just say that: [tex]a=4\ \text{and}\ c=6[/tex]

Although it is important that you assign the hypotenuse to "c".

So plugging in known values we have the equation:

[tex]4^2 +b^2=6^2[/tex]

Square the values

[tex]16+b^2=36[/tex]

Subtract1 16 from both sides

[tex]b^2=20[/tex]

take the square root of both sides

[tex]b=\sqrt{20}[/tex]

This "b" represents our other side, which we did not initially know, so this is our answer :)

You can simplify this further by separating the radical into: [tex]\sqrt{20} = \sqrt{4} * \sqrt{5} = 2\sqrt{5}[/tex]

The region that represents the solution to the system of two inequalities would be Region A.

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

Since x≥0 and y≥0 at every point in the shaded region in the first quadrant represent a solution of the given system of inequalities

Since, the system of two inequalities are strict then in graph lines drawn is dotted line as point on line does not includes in the inequality.

The region that represents the solution to the system of two inequalities would be Region A; because the shaded regions are not required.

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Step-by-step explanation:

so, first $300 must be paid without any ifs and whens.

for the rest of the amount the insurance will cover 70%.

the bills total to

700 + 930 = $1630

he must pay $300 of that directly.

that leaves 1630 - 300 = $1330 for the 70/30 split between insurance and patient.

the patient must pay 30% of these $1330.

100% = 1330

1% = 100%/100 = 1330/100 = $13.30

30% = 1% × 30 = 13.30 × 30 = $399

so, the patient pays

300 + 399 = $699

of the $1630 bill.

Answer:

Step-by-step explanation:

Answer:

0.9x=459.99, $511.10

Step-by-step explanation:

If the original cost was x, the cost after the discount is 0.9x.

[tex]0.9x=459.99 \\ \\ x=\frac{459.09}{0.9}=511.10[/tex]

The surface area of the right rectangular prism is 398 square meters

The net of the right rectangular prism is the given parameter

On the net of the right rectangular prism, we have the following values

Length, l = 11 m

Width, w = 9 m

Height, h = 5 m

The surface area of the right rectangular prism is calculated using

Surface area = 2 * (l * w + l * h + w * h)

So, we have

Surface area = 2 * (11 * 9 + 11 * 5 + 9 * 5)

Evaluate the sum of products

So, we have

Surface area = 2 * 199

Evaluate the products

So, we have

Surface area = 398

Hence, the surface area of the right rectangular prism is 398 square meters

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