if quadrilateral tuvw is reflected across the x axis to become quadrilateral T'U'V'W' what will be the coordinates of W'

She then lets a real rat run the maze and measures the long run to be 13 feet.

A function that represents the distribution of many random variables as a symmetrical bell-shaped graph.

We first need to find the z-score which is given by applying the following formula:

z-score = (X-μ) ÷ σ

Where: μ is the average, σ is the standard deviation, X is the sampled value.

Therefore,

z-score = (13-14.8) ÷ 2.4

z-score = -0.75

Finding the probability, or the p-value by looking upon the z-table

P(Z<z) = P(Z<-0.75) = 0.2266

The conclusion that the biologist could make is that out of 1000 virtual rats, there are 0.2266×1000 = 226.6 ≈ 227 virtual rats that run the maze with a length of 13 feet.

Hence, She then lets a real rat run the maze and measures the long run to be 13 feet.

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Answer:

always true

Step-by-step explanation:

complement equals that angle plus another one adds to 90. If you know that it's less than 90 degrees, then you subtract it from 90 to get the other angle which is the complement. Hope this helps!

Answer:

B. -80x + 28y - 56

D. 4(-20x + 7y - 14)

Step-by-step explanation:

8(-10x + 3.5y - 7)

= 8(-10x) + 8(3.5y) - 8(7)

= -80x + 28y - 56

= 4(-20x + 7y - 14)

Answer:

64 Inches

Step-by-step explanation:

Feet to Inches Formula: Multiply the length value by 12

5 x 12 = 60

60 Inches + 4 Inches = 64 Inches

Hence, Louisa is 64 Inches tall

Answer:

B

Step-by-step explanation:

The solution to the equation 58p - 34 = 4 is p = 38/58

An equation is an expression used to show the relationship between two or more variables and numbers.

From the question, given the equation:

58p - 34 = 4

Add 34 to both sides of the equation:

58p - 34 + 34 = 4 + 34

58p = 38

To make p the subject of the equation, divide through by 58:

58p/58 = 38/58

p = 38/58

The solution to the equation 58p - 34 = 4 is p = 38/58

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Answer:

5/7

Step-by-step explanation:

There are 7 spots

5 are not hearts

P( not hearts) = not hearts/ total = 5/7

Answer:

5/7 or 71% as probability

Step-by-step explanation:

there are 7 spaces, 2 are filled with a heart, 7-2=5.

Therefore, since there are 5 other spaces that are NOT filled with a heart, its a 5/7 (5 out of 7) probability of the spinner not landing on a heart, also known as 71% if you do the math.

Hope this helps!

brainliest please?

Step-by-step explanation:

it's not clear but I tried

Answer:

Step-by-step explanation:

Answer:

EC/BC = DE/AB

Step-by-step explanation:

There are multiple answers for this, but this should work as well. EC is proportional to BC, and AB is proportional to DE, so one answer is: EC/BC = DE/AB

Hence bond will be worth $ 3712.5

Answer:

the bonds be worth $3712.5 at the end of 5 years

Explanation:

[tex]Simple Interest: \frac{ Principal * Interest Rate * Time}{100}[/tex]

Simple interest : ($3,300 * 2.5% * 5 )/100

Simple interest : $412.5

∵Total money she has worth: ( $412.5 +  $3,300 ) = $3712.5

The average rate of change of a function f(x) over some interval [a, b] is the difference quotient,

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

which corresponds to the slope of the line connecting the points (a, f(a)) and (b, f(b)) in the graph of f(x).

Given f(x) = 3x² - x³ (correct me if I'm wrong, the exponents look cut off in your screenshot), the average rate of change on [1, 5] is

[tex]\dfrac{f(5)-f(1)}{5-1}=\dfrac{(3\cdot5^2-5^3)-(3\cdot1^2-1^3)}4 = \dfrac{75-125-3+1}4 = \boxed{-13}[/tex]

Answer:

E. 62

Step-by-step explanation:

Answer:

blue = 32

red = 62

Answer:

  E.  62

Step-by-step explanation:

If we let r, g, b represent the numbers of red, green, and blue disks, respectively, we are given the following relations:

  r + g + b = 105 . . . . there are 105 disks, total

  r -g = 30 . . . . . . . . . there are 30 more reds than greens

  g -b = 21 . . . . . . . . . there are 21 more greens than blues

We can use the third equation to substitute for b in the first equation.

  b = g -21 . . . . . third equation solved for b

  r + g + (g -21) = 105 . . . . substituted into the first equation

  r +2g = 126 . . . . . . . . . . . add 21 and simplify

Now, we can use the second equation to substitute for g in the one we have just written.

  g = r -30 . . . . . . second equation solved for g

  r +2(r -30) = 126 . . . . . . substituted into our equation for r and g

  3r = 186 . . . . . . . . . . . . . simplify and add 60

  r = 62 . . . . . . . . . divide by 3

Senja has 62 red disks.

__

Additional comment

g = 62 -30 = 32

b = 32 -21 = 11

Senja has 11 blue and 32 green disks, as well.

Answer:

different number of units

The shaded area = The big square area - small square area

square area = side²

(x+4)² - 4

= x² + 8x +16 - 4

= x² +8x +12

Answer:

CAN NOT BE DETERMINED

Step-by-step explanation:

The point (8, 0) doesn't make the given equation y = x + 8 true which is determined by substituting the values of x = 8 and y = 0 in the equation.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have to determine the point (8, 0) makes the equation y = x + 8 true or not.

If we substitute the values of x = 8 and y = 0 the equation should be satisfying.

The given equation is:

y = x + 8

Here the x-coordinate is 8 and the y-coordinate is 0.

Substitute the values of x = 8 and y = 0 in the above equation,

⇒ 0 = 8 + 8

⇒ 0 = 16

This is not true.

Therefore, the point (8, 0) doesn't make the given equation true.

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Answer:

Step-by-step explanation:

(6x2)/2=6

6x4=24

2x2=4

24+4=28cm^2

Answer:

28%

Step-by-step explanation:

32-25=7

7/25=0.28

0.28x100=28

28%

Answer:

the 4th students gets 8 marbles

Step-by-step explanation:

10+20=30+12=42

50-42=8

Answer:

mean= 72

median= 74

mode= 74

Step-by-step explanation:

Mean (Average)

Mean= sum of all the valves/ Number of valves

values or observations.

72+74+63+74+82+63+74+60+75+83 / 10

=720/10

=72

720 comes in the table of 10 in 72×10=720

Median

arrange in ascending order;-

60,63,63,72,74,74,74,75,82,83

74 is the mid value

Mode

the value that appears maximum number of times in a data.

the number that we can see that appears number of times is 74 because, it appears 3 times.

Answer:2

Step-by-step explanation:

I’m not exactly sure bc I’ve never heard a problem like that before but I believe that’s correct.

Answer:

2n^4

Step-by-step explanation:

462⋅−2

*

Cancel terms that are in both the numerator and denominator.

*

4n6

-----   ⋅ n−2

2  

*

26 ⋅ −2

*

Combine exponents.

*

2n^4

Hope this helped:D

Answer:

true

Step-by-step explanation:

well same I'd everything looks alike but similar is the basics

Answer:

b

Step-by-step explanation:

Answer:

Measure of Data Dispersion

Step-by-step explanation:

Standard deviation is used to show the variation and dispersion in a group of data. It shows how separated the data's are to each other and how each data can be related to the other.

A normal data distribution are those group of data, that are distributed in a wide range. The standard deviation helps to to measure how they are been spread out.

Standard deviation does not measure the shape, quality, and center of data. This are measured with graphs, range, mean and median.

The slopes of the lines given in figure 1,2,3,4,5,6 are 2,-5/3,1,∞,-4,0 respectively.

A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.

Slope = Tanx where x will be the angle from the positive x-axis at that point.

The slope could be positive or negative.

The slope is also calculated by differentiation for example slope of y = sinx will be y' = cosx.

The slope can be counted by ;

The number of grids on the y-axis / Number of grids on the x-axis.

So,

For figure 1 ;

The number of grids on the y-axis is 4 and the number of grids on the x-axis is 2.

So slope = 4/2 = 2

Similarily for remaining graphs 2,3,4,5,6 are -5/3,1,∞,-4,0 respectively.

Hence "The slopes of the lines given in figure 1,2,3,4,5,6 are 2,-5/3,1,∞,-4,0 respectively".

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The cost of the carpet is $526.75

Based on the information given:

The carpet costs $1.75 per square foot

Get the area of the carpet

Area = 24(7) + 7(15) + 0.5(28) + 0.5(28)

Area of the composite figure = 273 + 28

Area of the composite figure = 301 ft²

Cost of the carpet = 301 * 1.75

Cost of the carpet = $526.75

Hence the cost of the carpet is $526.75

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Answer:

B, C, D, and that's it

Step-by-step explanation: