Latisha determined the approximate amount of time each student in her homeroom class spent outside on a sunny day and on a rainy day. The dot plots below show her results.

Sunny Day
A dot plot titled Sunny Day. A number line going from 35 to 90 is labeled Minutes Spent Outside. There are 0 dots above 35, 1 above 40, 2 above 45, 2 above 50, 3 above 55, 2 above 60, 2 above 65, 2 above 70, 1 above 75, and 0 above 80 and 90.

Cloudy Day
A dot plot titled Cloudy Day. A number line going from 35 to 90 is labeled Minutes Spent Outside. There is 1 dot above 35, 4 above 40, 5 above 45, 3 above 50, 2 above 55, and 0 above 60, 65, 70, 75, 80, and 90.

Which measures of center and variability can be used to most accurately compare the two data sets?
mean and MAD
mean and IQR
median and MAD
median and IQR

Answer:

21

Step-by-step explanation:

hundreds place is 2 tenths are 21  and ones is 210

Answer: 21

Step-by-step explanation: It's 21 because 21 times 10 equals 210.

Answer:

The sequence is a function

Step-by-step explanation:

where n is the number of months since his initial deposits, and A₀=50

The sequence is a function because its domain is a set of natural numbers.

For example,

A₁=A₀+25 =75

A₂=A₁+25=100

A₃=A₂+25=125

A₄=A₃+25=150

The domain is 0, 1, 2, 3, 4, 5,.....

The set of all non-negative integers.

Given sequence is [tex]A_{0}=50, \ A_{n}=A_{n-1}+25[/tex]

Domain of this sequence is n = the number of months since the initial deposit.

The possible values of n = 0, 1, 2, 3, 4, 5,..... It means the set of all non-negative integers.

So it is the domain of the sequence.

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Answer:

f(g(x)) = 8x - 4

Step-by-step explanation:

f(g(x)) = g(x) + 6

= 8x - 10 + 6

= 8x - 4

Answer:

f(g(x)) = 8x - 4

Step-by-step explanation:

Substitute x = g(x) into f(x), that is

f(g(x))

= f(8x - 10)

= 8x - 10 + 6

= 8x - 4

Answer:

its c. trust me

Step-by-step explanation:

The resultant function of the parent function f(x) = x²,  which is translate left 5 units and down 1 unit, is  f(x) = (x+5)^2-1.

Transformation of a function is shifting the function from its original place in the graph.

Types of transformation-

The given function is,

[tex]f(x) = x^2[/tex]

It has to be translated left 5 units. For this we have to add 5 units in the above function. Thus the function become,

[tex]f(x) = (x+5)^2[/tex]

Now the function is translated down 1 unit. For this we have to substract 1 units outside of the above function. Thus the function become,

[tex]f(x) = (x+5)^2-1[/tex]

Hence, the resultant function of the parent function f(x) = x²,  which is translate left 5 units and down 1 unit, is  f(x) = (x+5)^2-1.

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Answer:

32 degrees

Step-by-step explanation:

The interior and exterior of X must equal 180 degrees.

X + W = 180

Plug in 100 for W and subtract it from both sides.

180 - 100 = X = 80 degrees.

The total of the internal angles of a triangle are 180 degrees.

80 + 68 + Y = 180

Solve for Y:  Y = 180 - 68 - 80 = 32 degrees.

Answer:

6[tex]\sqrt{3}[/tex]

Step-by-step explanation:

We have to use Pythagoras' identity twice to find y

The square on the hypotenuse is equal to the sum of the squares on the other two sides.

In right triangle MUT to find TU

TU² + 3² = 6², that is

TU² + 9 = 36 ( subtract 9 from both sides )

TU = 27 ( take the square root of both sides )

TU = [tex]\sqrt{27}[/tex] = [tex]\sqrt{9(3)}[/tex] = 3[tex]\sqrt{3}[/tex]

In right triangle NUT to find y

y² = 9² + (3[tex]\sqrt{3}[/tex] )² = 81 + 27 = 108 ( take the square root of both sides )

y = [tex]\sqrt{108}[/tex] = [tex]\sqrt{36(3)}[/tex] = 6[tex]\sqrt{3}[/tex]

Answer:

A, D

Step-by-step explanation:

A is a completed statement and b can be solved.

B is an incomplete statement.

C is just a number.

D is a completed statement and y can be solved.

Answer:

The required measure of angle 3 is 60°.

Step-by-step explanation:

 We are given to find the measure of angle 3 from the figure if

m∠5 = 130° and m∠4 = 70°.

Let the measure of angle 3 be x°.

From the figure, we note that

angle 5 is an exterior angle and angles 3 and 4 are two remote interior angles of the triangle.

We know that

the measure of an exterior angle to a triangle is equal to the sum of the measures of two remote interior angles.

So, we get

Thus, the required measure of angle 3 is 60°.

Answer:  

It's A - F is the midpoint of AA' because Line E G bisects AA'

Step-by-step explanation: :D

When a point bisects a line segment, it divides the line segment into two equal segments. The true statement about point F is that:

F is the midpoint of AA' because Line E G bisects AA'

I've added as an attachment, the diagram of triangles [tex]\triangle ABC[/tex] and [tex]\triangle A'B'C'[/tex]

From the attached figure of [tex]\triangle ABC[/tex] and [tex]\triangle A'B'C'[/tex], we can see that line EF passes through line AA'.

Lines EF and AA' intersect at point F, where point F is the midpoint of line EF and line AA'.

Hence, F is the midpoint of line AA' because line EG is a bisector of line AA.

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Answer:

no

Step-by-step explanation:

8= -5(3)+1 is not a true statement because it equals -14 not 8

Answer:

False

Step-by-step explanation:

Substitute the point into each equation and see if it gives a true statement

y = -5x+1

8 = -5(3) +1

8 = -15+1

8 = -14

False so this is not a solution

We do not need to check the second equation since the first is false

Answer:

$943.5

Step-by-step explanation:

Tax: 11% of 850

11/100 × 850 = 93.5

Total cost = 850 +93.5

= 943.5

A total is $943.50.

To calculate the total cost of the newest iPad including the sales tax, we need to add the tax to the initial price of the product. The iPad costs $850, and the sales tax rate is 11%. To find the tax amount, convert the percentage to a decimal by dividing by 100, which gives us 0.11, and then multiply this by the cost of the iPad.

Sales Tax = iPad Cost x Tax Rate

Sales Tax = $850 x 0.11

Sales Tax = $93.50

Now, to find the total cost, add the initial iPad cost to the sales tax:

Total Cost = iPad Cost + Sales Tax

Total Cost = $850 + $93.50

Total Cost = $943.50

Answer:

A) 9

Step-by-step explanation:

  15 - 3(6 - 4)

= 15 - 3(2)

= 15 - 3 x 2

= 15 - 6

= 9

The given expression is equivalent to 9 The correct answer is option A) 9.

To simplify 15 - 3(6 - 4), we follow the order of operations (PEMDAS/BODMAS):

Step 1: Start with the innermost parentheses (6 - 4):

15 - 3(2)

Step 2: Next, perform the multiplication:

15 - 6

Step 3: Finally, do the subtraction:

9

The correct answer is option A) 9. The explanation shows how we first evaluate the expression inside the parentheses (6 - 4), then perform the multiplication (3 times 2), and finally subtract the result (6) from the initial value (15) to get the final answer of 9.

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Answer:

8x(2x-1)

Step-by-step explanation:

I just got this right hope it finds you well.

Step-by-step explanation:

By blue print conversion,

2 inches = 8 feet

Therefore, 1 inch = [tex]\frac{8}{2}[/tex] = 4 feet

1 inch = 4 feet

The height of the building on the  blueprint = 9 inches

The actual height of the building = 9 * 4 = 36 feet.

Answer:

12

Step-by-step explanation:

The y-intercept is when x=0.

In this equation, that would mean T(0)=12(1.12)^0=12(1)=12.

Hope this helped <3

Answer:

12

Step-by-step explanation:

Answer:

0.19706

Step-by-step explanation:

-Given the mean salary is $65,000 and the standard deviation is $6,000, the probability of making between $70000 and 80000 can be calculated as:

[tex]P(70000<X<80000)=P(\frac{X_1-\mu}{\sigma}<z<\frac{X_2-\mu})\\\\=P(\frac{70000-65000}{6000}<z<\frac{80000-65000}{6000})\\\\=P(0.8333<z<2.5)\\\\\\=0.99379-0.79673\\\\=0.19706[/tex]

Hence,the probability that an employee makes between $70,000 and $80,000 is 0.19706

Final answer:

To find the probability that an employee makes between $70,000 and $80,000, we calculate the z-scores and use the z-table. The probability is 0.1971.

Explanation:

To find the probability that an employee makes between $70,000 and $80,000, we need to calculate the z-scores and use the z-table.

First, we calculate the z-score for $70,000:

z = (X - μ) / σ

z = (70000 - 65000) / 6000 = 0.8333

Next, we calculate the z-score for $80,000:

z = (80000 - 65000) / 6000 = 2.5

Using the z-table, we can find the probabilities associated with these z-scores. The probability of an employee making less than $70,000 is 0.7967, and the probability of an employee making less than $80,000 is 0.9938. Therefore, the probability of an employee making between $70,000 and $80,000 is:

P(70000 < X < 80000) = P(X < 80000) - P(X < 70000) = 0.9938 - 0.7967 = 0.1971

Answer:

6

Step-by-step explanation:

The total of the two days adds up to 0. So define x as the score of the first day, and then have the equation x - 6 = 0.

Then solve,

x - 6 (+6) = 0 (+6)

x + 0 = 6

x = 6

Answer:

29, 34

Step-by-step explanation:

Let x and y be the two numbers

x = y + 5

(4y - 3) - 3x = 11

4y - 3x = 14

4y - 3(y + 5) = 14

4y - 3y - 15 = 14

y = 29

x = 29 + 5 = 34

Answer:

No, it is the same amout

Step-by-step explanation:

there are 12 inches is 1 foot. 12*3 is 36

Answer: Yes it is.

Step-by-step explanation:

3 yards = 3 x 3 x 12 = 108 inches which is greater than 36 inches.

Answer:

11

Step-by-step explanation:

f(x) = 3x^2 – 4x – 9

Let x = -2

f(-2) = 3 (-2)^2 -4(-2) -9

      =3(4) +8 -9

      =12 +8 -9

      20-9

       11

Answer:

y = - 5

Step-by-step explanation:

[tex] log_{2}( \frac{1}{32} ) = y \\ \\ log_{2}( \frac{1}{ {2}^{5} } ) = y \\ \\ log_{2}( {2}^{ - 5} ) = y \\ \\ {2}^{ - 5} = {2}^{y} \\ \\ - 5 = y \\ \\ \huge \red{ \boxed{y = - 5}}[/tex]

Answer:

Circumference of the lily pad is about 28.3 ft

Area of the lily pad is about 63.6 ft²

Step-by-step explanation:

Formula for circumference of circle is,

Circumference = 2 π r

Given that diameter is 9 ft. Therefore radius is half of diameter.

[tex]r=\dfrac{d}{2}[/tex]

Substituting the values,

[tex]r=\dfrac{9}{2}=4.5[/tex]

Also value of π = 3.14

Substituting the value,

C = 2 × 3.14 × 4.5

Simplifying,

C = 28.26 ft

Rounding to nearest tenth value of circumference is C = 28.3 ft.

Formula for area of circle is,

A = π r²

Substituting the values,

A = 3.14 × 4.5²

Simplifying,

A = 63.585 ft².

Rounding to nearest tenth value of area is A = 63.6 ft².

Answer:

(x + 4)(x - 2)

Step-by-step explanation:

For factoring when there's a coefficient on the leading variable, I use the "slip n' slide" method (my teacher called it that, I had no part in naming it), but when that fails, you can use the quadratic formula.

First, you "slip" the leading coefficient to the end, and multiply.

5x² + 10x - 40

x² + 10x - 200

Now, you factor it normally.

x² + 10x - 200

= (x + 20)(x - 10)

Then, you divide the 2nd part in each parentheses with the coefficient you slipped in the beginning. This is super important! I always had trouble remembering this step, so hopefully you won't.

(x + 20/5)(x - 10/5)

= (x + 4)(x - 2)

I hope this helped!

Answer:

[tex]8.86cm^2[/tex]

Step-by-step explanation:

Given the rectangle of 3cm by 4cm and a circle of 1 cm inside it:

The Area of the shaded portion =Area of Rectangle-Area of Circle

Area of a Rectangle=Length X Width[tex]=3 X 4 =12cm^2[/tex]

Area of the circle =[tex]\pi r^2=\pi X 1^1=3.142cm^2[/tex]

Area  of the shaded portion=12-3.142

[tex]=8.86cm^2[/tex]

The area of the shaded region inside the rectangle but outside the circle is 8.86 cm².

A circle with a radius of 1 cm sits inside a rectangle with dimensions of 3 cm by 4 cm. To solve this problem, we can use the formula to find the area of a rectangle and the area of a circle.

The area of the rectangle is calculated by multiplying its length by its width, giving us an area of 12 cm². The area of the circle can be found using the formula A = πr², where A represents the area and r represents the radius.

Plugging in the given radius of 1 cm, we find that the area of the circle is π cm², which is approximately 3.14 cm². Therefore, the area of the shaded region (the region inside the rectangle but outside the circle) is 12 cm² - 3.14 cm² = 8.86 cm².

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Answer:

x = 6.6; DE = 16.6  

Step-by-step explanation:

Assume the diagram is like the figure below.

1. Calculate the value of x

In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the triangle into two similar triangles.

Thus, ∆CDF ~ ∆FDE, and

[tex]\begin{array}{rcl}\dfrac{CD}{DF} &=& \dfrac{FD}{DE}\\\\\dfrac{5}{9} &=& \dfrac{9}{2x + 3}\\\\5(2x + 3) & = &81\\10x + 15 & = & 81\\10x & = & 66\\x & = & \mathbf{6.6}\\\end{array}[/tex]

2. Calculate the length of DE

DE = 2x + 3 = 2(6.6) + 3 = 13.2 + 3 = 16.2

Answer:

X= 6.6

DE= 16.2

Step-by-step explanation:

Answer:

Brianna

Step-by-step explanation:

(p^-5)/q⁰

(p^-5)/1

1/p⁵

1/p⁵ × q⁰

Answer:

Brianna

Step-by-step explanation:

edge

Answer:

a) + x direction, b) [tex]+2\,yd[/tex].

Step-by-step explanation:

a) According to the Cartesian plane, an eastward translation implies a movement in the +x direction.

b) [tex]+2\,yd[/tex]

Coordinate geometry involves the use of a plane to represent positions.

On a coordinate geometry, eastward translation is represented by the horizontal (or x-axis).

Hence, the axis of the eastward translation is the x-axis

A change of two yards east:

The axis of the eastward translation is the x-axis

And it is along the positive x-axis

Hence, two yards east can be represented using the integer 2 or +2.

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Answer:

True

Step-by-step explanation:

It is true because the solutions are x = -4, -3, and 3.

I graphed the equations on the graph below.

If this answer is correct, please make me Brainliest!

Answer:

True

Step-by-step explanation:

Answer:

trapezoid

Step-by-step explanation:

There is only one group of shapes that could be a trapezoid

A square, a rectangle, a rhombus, a trapezoid, a kite, and other 4-sided shapes fall under the category of quadrilateral

A rhombus, a parallelogram, and a square are all rhombuses