The plot shows the temperatures (in ºF) for a group of children who visited a doctor’s office.

A plot shows the temperature of children at a doctor's office. 1 child had a temperature of 96 degrees; 2, 97 degrees; 5, 98 degrees; 2, 99 degrees; 1, 100 degrees.

What conclusions can be drawn from the data set? Check all that apply.
The measures of center are the same.
The interquartile range is 4.
There is little variability in the data.
The average temperature is 98.
The data is clustered around the mean.

Answer:

Step-by-step explanation:

100

Answer:

B) $2508.53

Step-by-step explanation:

Please refer to the attached image for explanations

Answer:

13

Step-by-step explanation:

To get the hypotenuse (the longest side) you would use the Pythagorean Theorem ([tex]a^{2} + b^{2} = c^{2}[/tex])

Replace a and b with the two given sides and solve for c

[tex]5^{2} + 12^{2} = c^{2}[/tex]

25 + 144 = [tex]c^{2}[/tex]

169 = [tex]c^{2}[/tex]

Find the square root of both sides

[tex]\sqrt{169} = \sqrt{c^{2}}[/tex]

13 = c

We can substitute I with 120 since that's how much he made in one day.

120 = 7n + 50

~Subtract 50 to both sides

120 - 50 = 7n + 50 - 50

~Simplify

70 = 7n

~Divide 7 to both sides

70/7 = 7n/7

~Simplify

10 = n

Therefore, the saleman made 10 sales.

Best of Luck!

Answer:

I beleive it is C I might be wrong.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

∠ BEF and ∠ CFE are alternate angles and congruent, thus

3x + 20 = 2x + 50 ( subtract 2x from both sides )

x + 20 = 50 ( subtract 20 from both sides )

x = 30

Thus

∠ CFE = 3x + 20 = 3(30) + 20 = 90 + 20 = 110°

∠ CFE and ∠ AEF are same- side interior angles and are supplementary, thus

∠ AEF = 180° - 110° = 70° → B

Answer:

No.

Step-by-step explanation:

When you distribute the two factors it would become a perfect square binomial because the -x and the x would cancel out leaving only x^2 -1, which is the difference of two squares.

Answer:

No because the when you distribute it out it would be (x^2 -1) which is not a perfect square trinomial equation. Also it cannot be a perfect square trinomial because one binomial has negative 1 and the other has positive 1 which indicates that it is not a perfect square.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

x² + 5x + 4 =0

Product =4

Sum = 5

So, factors = 4*1

x² + 1x + 4x + 4*1 = 0

x*(x + 1) + 4*(x + 1) = 0

(x + 1)(x + 4) = 0

The sum of the internal angle is 360 degrees. Then the measure of angle B is 115°.

It is a polygon that has four sides. In a parallelogram, opposite sides are parallel and equal. And its diagonals intersect at mid-point.

The quadrilateral shown is a parallelogram. The angle A is 65°.

∠D and ∠B are equal because they are alternate angles.

∠A and ∠C are equal because they are alternate angles.

Then the sum of the internal angle is 360 degrees.

∠A + ∠B + ∠C + ∠D = 360

∠A + ∠B + ∠A + ∠B = 360

                 ∠A + ∠B = 180

                          ∠B = 180 - 65

                          ∠B = 115

Thus, the measure of angle B is 115°.

More about the parallelogram link is given below.

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Answer:

-18x   -13

Step-by-step explanation:

-4(2x+3) - 2x + 1-(8x + 2)

We cannot solve since there is no equals, but we can simplify

Distribute

-8x -12 -2x +1 -8x -2

Combine like terms

-8x-2x -8x  -12 +1 -2

-18x   -13

Answer:

-8x - 13

Step-by-step explanation:

-4(2x + 3) - 2x + 1 - (8x + 2)

-8x - 12 - 2x + 1 - 8x - 2

-18x - 13

Look at the attached picture⤴

Hope it will help u..

Answer:

6 feet

Step-by-step explanation:

The area of a square is:

a=s^2, where s is the side

We know the area is 36, so we can substitute that in

36=s^2

Take the square root of both sides

6=s

s= 6 feet

One side is 6 feet, so that is how long the board should be cut.

The value of the expression is  [tex]\frac{m^4}{n^2}[/tex].

Option A is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

[tex](m^{2/3}n^{-1/3})^6[/tex]

This can be simplified as,

[tex]m^{2/3 \times6}[/tex] x [tex]n^{-1/3 \times 6}[/tex]

=[tex]m^{2\times2}[/tex] x [tex]n^{-1 \times2}[/tex]

= [tex]m^4[/tex][tex]n^{-2}[/tex]

= [tex]\frac{m^4}{n^2}[/tex]

Thus,

The value is  [tex]\frac{m^4}{n^2}[/tex].

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To rewrite an expression using only positive integer exponents, apply the rules of exponentiation and simplify the expression.

To rewrite an expression using only positive integer exponents, you can apply the rules of exponentiation. For example, if you have an expression like [tex]a^{-2}[/tex], you can rewrite it as [tex]\frac{1}{a^{2} }[/tex]

. Similarly, if you have a term with a negative exponent in the denominator, you can move it to the numerator and change the sign of the exponent to make it positive.

Here's a step-by-step example:

By following these steps, you can rewrite expressions using positive integer exponents.

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Answer:

m=7

Step-by-step explanation:

m +2+5=14

m+7=14

-7       -7

m=7

Answer:

0.00045 (A)

Step-by-step explanation:

Answer:

A)  0.00045

Step-by-step explanation:

Part A:

This would aid throughout the comparison, since it could be used to examine the consequences of the medicines on some kind of collection of parrots, as well as the lack of either treatment.

Part B:

"Random sampling" would be the best way to randomly place the parrots.

Part C:

The best blocking method would be "Breed".

Thus the response above is correct.

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A control group is beneficial as a comparison reference to isolate the effects of the treatments. Parrots should be randomly assigned to avoid selection bias. Blocking by parrot breed would likely be more effective than by sanctuary, because breed potentially has a greater influence on cognitive health.

The inclusion of a control group provides a reference point for comparison and helps to identify the effects of the medicines by isolating other variables. Without a control group, it would be challenging to discern whether the observed improvements in the parrots' cognitive health were solely due to the medicines or external factors.

The best way to randomly place the parrots into the three groups is by using a random number generator or similar method to ensure equal and unbiased chance of being allocated to any group. This would mitigate any potential bias and ensure the findings are due to the effect of the Medicines and not the selection process.

Blocking by breed might be more beneficial as biological differences among breeds could influence cognitive health and the response to medication. Blocking by sanctuary would be less ideal as cognitive health could be influenced by a variety of situational factors, such as diet and care, which could introduce bias in the results.

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Answer:

30°

Step-by-step explanation:

Interior angle + exterior angle = 180

Because they form a linear pair.

Exterior angle = 180 - interior angle

= 180 - 150

= 30°

The measure of each exterior angle is 30°.

Alternate Interior Angles are defined as the pair of angles created on the inner side of the parallel lines and on the opposite sides of the transversal when two parallel lines are intersected by a transversal are referred to as alternate internal angles. These angles are always equal.

Given that the measure of each Interior angle is 150°

We have to determine the measure of each exterior

Since an interior angle and an adjacent exterior angle of a polygon form a linear pair.

Therefore, the sum of the Interior angle and exterior angle adds up to 180°.

So Exterior angle = 180 - interior angle

⇒ Exterior angle = 180 - 150

⇒  Exterior angle = 30°

Hence, the measure of each exterior angle is 30°.

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Answer:

[tex]sin(-x)[/tex]

Step-by-step explanation:

Odd functions follow the relation of

[tex]f(-x)=-f(x)[/tex]

Lets check for the most trivial value, does

[tex]sin(-0) = -sin(0)[/tex]

Well these values both equal 0, so this is correct!

What about another value?

[tex]sin(- \frac{\pi}{2})=-1\\-sin(\frac{\pi}{2})=-1[/tex]

In-fact this is strictly defined for all values of sin. Meaning that this is an odd function.

The example of an odd trigonometric function is sin(-x).

All functions that involved trig functions could be even, odd, or not. A function could be odd  if f(-x) = - f(x)

So, for sin, it is

sin (-0) = -sin(0)

Since these values both equal 0, so this is right

So, here sine be the odd function and cos is an even function.

Therefore, The example of an odd trigonometric function is sin(-x).

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Answer:

x= 14

Step-by-step explanation:

Answer:

X= 14

Step-by-step explanation:

-2X-2+3x=12

-2x-2+3x=12

x-2=12

x=12+2

x=14

-5 is greater than -6

Answer:

x < -4 or x > 8

On a number line, make two arrows:

1) going towards left from -4 with an open circle at -4

2) going towards right from 8 with an open circle at 8

Step-by-step explanation:

l -4 +2x l -3 > 9

l -4 +2x l > 12

l 2x - 4 l > 12

2x - 4 > 12

2x > 16

x > 8

-2x + 4 > 12

-2x > 8

x < -4

On a number line, make two arrows:

1) going towards left from -4 with an open circle at -4

2) going towards right from 8 with an open circle at 8

Answer:

see below

Step-by-step explanation:

l -4 +2x l -3 > 9

Add 3 to each side

l -4 +2x l -3+3 > 9+3

l -4 +2x l  > 12

We Separate into two inequalities, remembering to flip the negative inequality

 -4+2x>12        or            -4+2x<-12    

Add 4 to each side

  -4+4+2x>12+4   or                  -4+4+2x<-12 +4

2x> 16                      or                     2x< -8

Divide each side by 2

2x/2 > 16/2                  or              2x/2 < -8/2

x > 8    or                                x < -4

To graph we have open circles at 8 going to the right and at -4 going to the left

Answer:

Our mass is not great enough to have enough pull to actually move the pencil.

Objects like a pencil aren't noticeably pulled towards you because the gravitational force between objects with relatively small masses, like you and the pencil, is very weak compared to the Earth's gravitational pull.

The reason why other objects, like your pencil, aren't being pulled towards you is due to the relative mass of the objects and the distance between them.

Although every object with mass exerts a gravitational force on other mass objects, this force is extremely weak unless at least one of the objects is very massive, like Earth.

According to Newton's universal law of gravitation, the force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

Given that both you and the pencil have relatively small masses, the gravitational attraction between you is minuscule compared to the gravitational pull of the Earth, which is why the pencil falls to the floor when dropped instead of being pulled towards you.

The height of the tree is 5.4 m

Step-by-step explanation:

Let the height of the tree be 'h'

Angle of elevation= 34°

distance from the rock on the ground

to the base of the tree = 8 m

we can use the tan function of trigonometry to find the height of the tree,

tan 34° = h/8

tan 34° = 0.67

tan 34° = h/8

0.67 = h/8

h = 8 x 0.67

h = 5.4m

The height of the tree is 5.4 m

The height of the tree to the nearest tenth of a meter is approximately 5.6 meters.

To calculate the height of the tree, we can use trigonometry, specifically the tangent function since we have the angle of elevation and the distance from the observer to the base of the tree.

Let's denote:

According to trigonometry,

[tex]\[ \tan(\text{angle of elevation}) = \frac{\text{height of the tree}}{\text{distance to the tree}} \][/tex]

Substituting the given values:

[tex]\[ \tan(34^\circ) = \frac{h}{8} \][/tex]

Now, let's solve for h:

h = 8 × tan(34°)

Using a calculator, we find:

h ≈ 8 × 0.6947

≈ 5.5576

Therefore, the height of the tree to the nearest tenth of a meter is approximately 5.6 meters.

Answer:

Step-by-step explanation:

Do you have a picture of the diagram so I can see where the 300 and 10 are placed :D ?

Answer:

a=4.25

b=13.5

Step-by-step explanation:

so basically you just multiply 18 x 0.25 and you get 4.25 then you subtract that from 18

Answer:

4.50 ,13.50

Step-by-step explanation:

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Answer:

17 = 13 cent stamps

9 = 22 cent stamps

Step-by-step explanation:

Here is what we know:

a = 13 cent stamps

b = 22 cent stamps

Total stamps: 26

Total cost $4.19

Now we make equations based on what we know.

a + b = 26

13a + 22b = 419

Now we have to change the first equation so we can solve for the second. To do this, we have to find a similar factor for one of the variables. Let's change a.

Multiply the first equation by 13

13(a + b) = 13(26)

13a + 13b = 338

Now we put the two equations together and subtract. (Don't forget to change all the signs when you subtract)

   13a + 22b = 419

 - 13a -  13b  = - 338

=   0   +  9b   = 81

Solve for b.

9b = 81

b = 9

Plug b into the first equation to get a.

a + b = 26

a + 9 = 26

a = 17

17 = 13 cent stamps

9 = 22 cent stamps

You are done!

Hope this helped! :)

The number of each type of spend should be

17 = 13 cent stamps

9 = 22 cent stamps

Given that,  

Based on the above information, the calculation is as follows:

a + b = 26

13a + 22b = 419

Multiply the first equation by 13

13(a + b) = 13(26)

13a + 13b = 338

 13a + 22b = 419

 0   +  9b   = 81

9b = 81

b = 9

Plug b into the first equation to get a.

a + b = 26

a + 9 = 26

a = 17

So,

17 = 13 cent stamps

9 = 22 cent stamps

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Answer:

A. 4X4X4X4X4

C. 4^5

E. 2^10

Step-by-step explanation:

Answer:

A C and E

Step-by-step explanation:

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Answer:

The radius is 7 inches

Step-by-step explanation: The radius is half of the diameter and the unit of measure is inches. Unit of measurement includes inches, centimetres, meters, kilometres, etc.