Question 3 (1 point)
A sixth-grade class collected data on the number of siblings in the class. Here is the dot plot of the data they collected.

How many students had zero brothers or sisters?

We are given the following information

M is between G and T

MG = 2x + 1

MT = 3x + 3

GT = 19

Let us draw a sketch to better understand the problem

As you can see, the sum of MG and MT must be equal to the GT

Mathematically,

Let us solve the above equation or x

So, the value of x is 3

Therefore, the required values are

x = 3

MG = 7

MT = 12

Answer:

Yes.

because 2:3 =0.666...

Step-by-step explanation:

Answer:

yes i agree

Step-by-step explanation:

i agree because 0.66 is 2/3 of 1 if you take 1 and divide it by 3 you get 0.33 which would be 1/3 so 2/3 would be 0.66

The statement "The height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is 1/(a-b)" is False.

In a uniform distribution, the probability density function (PDF) is constant within the interval [a, b]. The height of the PDF represents the density of the probability distribution at any given point within the interval. Since the PDF is constant, the height remains the same throughout the interval.

To determine the height of the PDF, we need to consider the interval length. In a uniform distribution defined on the interval [a, b], the height of the PDF is 1/(b - a) for the PDF to integrate to 1 over the entire interval. This means that the total area under the PDF curve is equal to 1, representing the total probability within the interval [a, b].

Therefore, the correct statement is that the height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is not 1/(a - b), but rather it is a constant value necessary for the PDF to integrate to 1 over the interval, i.e., 1/(b - a).

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Therefore , the solution of the given problem of surface area comes out to be 160 peoples can be fit in that region.

Its surface area is a good indicator of how much space it takes up overall. When estimating the surface area of a three-dimensional shape, the entire environment is taken into consideration. Its surface area determines how big something is overall. The sum of the faces on any and all six of a cuboid's rectangular sides yields the amount of water contained within.

Here,

Given : one person occupies 360 square inches

is 2.5 square foot.

So,

The given dimension of region are :

length = 20 feet and width 20 feet.

Thus,

=> Area = 20*20

=> Area = 400 square foot.

So , number of people in that area will be :

=> 400/2.5

=> 160 peoples.

Therefore , the solution of the given problem of surface area comes out to be 160 peoples can be fit in that region.

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Answer:

x=4

Step-by-step explanation:

First we Divide both sides by 4 so we can just get x

For example

4x=16

x=4  We divided both sides by 4 because we need to get x and the reason why we also divided 16 by 4 is because what you do to one side you do to the other to keep the values  consistent

Hope I could help !

6 number of stickers diana given to her sister.

A division is a process of splitting a specific amount into equal parts.

Diana had 41 stickers and she put them in 7 equal groups. To find out how many stickers she put in each group, we can divide 41 by 7:

41 ÷ 7 = 5 with a remainder of 6

This means that Diana put 5 stickers in each of the 7 groups, and she had 6 stickers leftover.

She gave the leftover stickers to her sister, so she gave her sister 6 stickers.

Hence, 6 number of stickers  diana given to her sister.

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Answer:

D. is the correct option

Step-by-step explanation:

There is a total of 5 people, so we can either split the pizza cost into 5, or into 10 and multiply by 2 (since each guest ate 2 slices) We'll do the first option since it's simpler.

$17.49 ÷ 5 = 3.489 or rounded up to $3.50

Next, we'll add $1.19 to $3.59 which equals $4.69

Hope this helps!

Answer:

b is correct

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The equivalent expression for the expression -2/5(15 - 20d + 5c) is

-6 + 8d - 2c

Option B 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,

-2/5 x (15 - 20d + 5c)

= -2/5 x 15 + 2/5 x 20 - 2/5 x 5c

= -2 x 3 + 2 x 4 - 2c

= -6 + 8d - 2c

Thus,

The equivalent expression is -6 + 8d - 2c.

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Answer:

7 units

Step-by-step explanation:

(Background info, skip if not interested or needed for you)

The equation for distance on a cartesian plane coordinate system is based off the pythagorean theorem.

\(a^2 + b^2 = c^2\)

a and b being sides of a right triangle, c being the hypotenuse.

When we are solving for distance we are solving for c essentially.

\(c\) = \(\sqrt{a^2 + b^2}\)

Because a and b are side lengths of the right triangle, we need to find a way to find that in terms of coordinates. So here we might say that a is equal to the horizontal distance between the 2 points or Δx, and we would say that b is the vertical distance between the 2 points Δy.

(solutions)

So essentially distance is:

\(d = \sqrt{(x_2 - x_1)^2+ (y_2-y_1)^2 }\)

Now we just use the values given to us, and sub in the x and y values respectively.

(-2,4) \(x_1 = -2, y_1 = 4\)

(5,4)\(x_2 = 5, y_2 = 4\)

plug these values in:

\(d = \sqrt{((5) - (-2))^2+ (4-4)^2 } = \sqrt{(7)^2+ (0)^2 } = \sqrt{7^2 } = 7\)

Therefore the distance is 7 units.

Long after Mr. and Ms. Jones has been destroyed from the farm,  the animals called pigs invoke his name to scare the other animals into submission.

Indeed though the ranch possesses all of the necessary accoutrements to make the windmill, but the design presents a number of difficulties.

The creatures in the farm are struggle over how to break the available gravestone into manageable sizes for structure without picks and crowbars, which they're unfit to use.

And they eventually break the problem by learning to raise and also drop big monuments into the chase, smashing them into usable gobbets.

At the time of late summer, the creatures have enough broken gravestone to begin construction.

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Answer:

-12u+8w+16

Step-by-step explanation:

to get rid of the parenthesis you multiply everything that is inside of the parenthesis by -4

-4x3u=-12u

-4x-2w=8w

-4x-4=16

then we just add everything together and end with

-12u+8w+16

hope this helps (;

Answer:

Step-by-step explanation:

Perimeter of triangle = sum of all sides

= 3x + 1 + x + 8 + 2x -  6

= 3x + x + 2x + 1 +  8 - 6  {Combine like terms}

= 6x + 3

Answer:

$15.25

Step-by-step explanation:

All you have to do is divide 610 by 40

610 ÷ 40 = 15.25

Therefore, $15.25 is how much Sam makes per hour.

Hope this helps ya!

Answer:

70

Step-by-step explanation:

add 90 to 130 which equals 220 then subtract 220 from 360 which gives you 140 and after divide 140 by 2 and you get 70

130+90=220

360-220=140

140÷2=70

Answer:

43.982 or 44 (depends if your teacher wants it rounded or not)

Step-by-step explanation:

C=2(pi)r (I don't know how to type the pi symbol, my apologies)

The radius is the diameter divided by 2

Radius = 14/2 = 7

Radius = 7

Circumference = 2 times pi times 7

Circumference = 43.982

The rounded-up answer would be 44.

Have a great day :)

Answer:

8 laps

Step-by-step explanation:

8 laps because it said LESS than 54 minutes B)

Answer:

C. $8483

Step-by-step explanation:

To find the  coffee sales, we plug in the value of x as 34 into y = 60x + 6443.

Therefore, the answer is C. $8483.00.

the boat will travel 70 kilometers in 3.5 hours when moving at a rate of 20 kilometers per hour.

To calculate the distance traveled by a boat, we can use the formula: Rate x Time = Distance.

In this case, the rate of the boat is 20 km per hour, and the time is 3.5 hours.

Using the formula, we have:

Distance = Rate x Time

Distance = 20 km/h x 3.5 hours

Calculating the result:

Distance = 70 km

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The code initializes the variable `count` to 0. Then, it enters a while loop that continues as long as `count` is less than 11. The value printed by the code is: 1

The value printed by the code is:

1

2

3

4

5

6

7

8

9

10

11

The code initializes the variable `count` to 0. Then, it enters a while loop that continues as long as `count` is less than 11. Inside the loop, `count` is incremented by 1, and then the current value of `count` is printed. This process repeats until `count` reaches 11.
Therefore, the numbers from 1 to 11 (inclusive) are printed.

The value printed by the code is:

1

In the second code, after initializing `count` to 0, the if statement checks if `count` is less than 11. Since the condition is true (`count` is 0), the code enters the if block. Inside the block, `count` is incremented by 1 and then printed. After executing the if block once, the code exits, and only the value 1 is printed.

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The complete question is:

What value is printed by the code below? count = 0 while count < 11: count = count + 1 print(count) What value is printed by the code below? count = 0 if count < 11: count = count + 1 print(count)?

a) The rate of change of temperature at the point is -1600/√14 °C/m.

b) The direction does the temperature increase fastest at P is by the gradient of T.

c) The maximum rate of increase of temperature at point P is 4200e⁻¹⁴ °C/m.

(a) The rate of change of temperature at point P in the direction towards the point (5, -3, 4) can be found using the directional derivative. The directional derivative is a measure of the rate of change of a function in the direction of a given vector.

To find the directional derivative of T at point P in the direction of the vector v = <5-2, -3-(-1), 4-3> = <3, -2, 1>, we need to take the dot product of the gradient of T at point P with the unit vector in the direction of v:

Evaluating the gradient at P, we get:

∇T(P) = <-1200e⁻¹⁴ , 3600e⁻¹⁴ , -12600e⁻¹⁴ >

The unit vector in the direction of v is:

v/|v| = <3/√14, -2/√14, 1/√14>

So, the directional derivative of T at point P in the direction of v is:

D_v T(P) = ∇T(P) · (v/|v|) = <-1200e⁻¹⁴ , 3600e⁻¹⁴ , -12600e⁻¹⁴ > · <3/√14, -2/√14, 1/√14>

= -1600/√14 °C/m

Therefore, the rate of change of temperature at point P in the direction towards the point (5, -3, 4) is -1600/√14 °C/m.

(b) The temperature increases fastest at point P in the direction of the gradient of T at P. The gradient of T at P gives the direction of steepest ascent of the temperature function at point P.

So, the direction in which the temperature increases fastest at P is given by the gradient of T at P, which is:

∇T(P) = <-1200e⁻¹⁴ , 3600e⁻¹⁴ , -12600e⁻¹⁴

(c) The maximum rate of increase of temperature at point P is given by the magnitude of the gradient of T at P.

So, the maximum rate of increase of temperature at point P is:

|∇T(P)| = √((-1200e⁻¹⁴ )² + (3600e⁻¹⁴ )² + (-12600e⁻¹⁴ )²)

= 4200e^(-14) °C/m

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Answer:

predict the impact of removing snakes from this food web

The volume of the cylinder are:

V₁ = 4.8 unit³

V₂ = 5.6 unit³

V = 10.4 unit³

To read the volume in a cylindrical tube, you need to locate the meniscus. The meniscus is the curve at the surface of the liquid in the tube. The bottom of the meniscus indicates the volume measurement.

In this case, the meniscus is at 4.8 and 5.6 for V₁ and V₂ respectively. Thus, the volume readings are:

V₁ = 4.8 unit³

V₂ = 5.6 unit³

V = V₁ + V₂

V = 4.8 + 5.6 = 10.4 unit³

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Answer:

x<13

Step-by-step explanation:

x < 13 is the solution of the inequality; 6x + 11 > 7x - 2

A relationship between two expressions or values that are not equal to each other is called 'inequality'.

Given that, an inequality 6x + 11 > 7x - 2

On solving for x, we get,

6x + 11 > 7x - 2

6x + 11 +2 > 7x

13 > x

x < 13

Hence, x < 13 is the solution of the inequality; 6x + 11 > 7x - 2

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Answer:

The sixth term of the sequence = -234

Step-by-step explanation:

The formula of a geometric sequence is:

aₙ = a₁ + r⁽ⁿ⁻¹⁾

Where;

aₙ = the term value

n = the term that has to be found out

a₁ = first term in the sequence

r = common ration

Here in this situation:

aₙ = unknown

n = 6

a₁ = 9

r = -3

Therefore the solution would be:

a₆ = 9 + (-3)⁶⁻¹

a₆ = 9 + (-3)⁵

a₆ = 9 + (-243)

a₆ = -234

Therefore the sixth term of the sequence would be: -234

Hope this helps!

Answer:

19/3 (6 1/3)

Step-by-step explanation:

Answer:

C. 7.0 Liters

Step-by-step explanation:

You always start with the amount that was given to you. In this case it was 7.41 quarts. You then multiply it with the conversion factor (1 qt = 0.95L)

To convert quarts into liters, you must set up the problem so the quarts are able to cancel out, meaining one should be in the numerator and the ither should be in the denominator.

When the quarts are cancelled out, your answer will now be in liters.

Now you just multiply all the numerators and divide the denominators.

7.41 × 0.951 = 7.0395

7.0395/1 = 7.0395

Then you round the answer to 7.0

Answer:

1st option

Step-by-step explanation:

Given

5y - 7x = 7 ( add 7x to both sides )

5y = 7x + 7 ( divide the terms by 5 )

y = \(\frac{7}{5}\) x + \(\frac{7}{5}\)