PLEASE HELP!

The dot plots show two different random samples of the number of lunches purchased in a month by some students. Which statement is BEST supported by the data?

Answer:

[tex]3\sqrt{5}.[/tex]

Step-by-step explanation:

It is given that the initial point of [tex]\vec{a}[/tex] is (-2,4) and terminal point is (-5,-2). So, [tex]\vec{a}[/tex] is defined as

[tex]\vec{a}=(-5-(-2))\hat{i}+(-2-4)\hat{j}[/tex]

[tex]\vec{a}=(-5+2)\hat{i}+(-2-4)\hat{j}[/tex]  

[tex]\vec{a}=-3\hat{i}-6\hat{j}[/tex]

The magnitude of [tex]\vec{v}=a\hat{i}+b\hat{j}[/tex] is

[tex]|\vec{v}|=\sqrt{a^2+b^2}[/tex]

The magnitude of [tex]\vec{a}[/tex] is

[tex]|\vec{a}|=\sqrt{(-3)^2+(-6)^2}[/tex]

[tex]|\vec{a}|=\sqrt{9+36}[/tex]

[tex]|\vec{a}|=\sqrt{45}[/tex]

[tex]|\vec{a}|=3\sqrt{5}[/tex]

Modulus of magnitude is

[tex]||\vec{a}||=|3\sqrt{5}|=3\sqrt{5}[/tex]

So, the magnitude of [tex]\vec{a}[/tex] is [tex]3\sqrt{5}.[/tex]

Answer:

it will still be zero

Step-by-step explanation:

12-12 = 0

The answer to your question is 3

Answer:

hope this helps! pls mark brainliest

Step-by-step explanation:

y= -1/2x + 2

y=mx+b

b is the y intercept which is where the line passes through the point.

m is slope to find slope go to a point (ex- (0,4) and go to the next and to do that is up 1 over 2 which is 1/2 and the line is going left so it's negative

Answer:

4×3=12

Step-by-step explanation:

all i did was multiple 4 times 3 and i came up with my answer

Answer:

78 percent wider than higher

Step-by-step explanation:

Answer:

4) 7.9%

Step-by-step explanation:

Given:

% of milk chocolate = 70%

% of white chocolate = 30%

Total number of chocolate = 20

Number of milk chocolate:

[tex] \frac{70}{100} * 20 = 14 [/tex]

Number of white chocolate:

[tex] \frac{30}{100} * 20 = 6 [/tex]

From the calculations, we now know there are 14 milk chocolates and 6 white chocolates.

2 white chocolates are picked at random without replacement.

Probability first chocolate picked was white: [tex] \frac{6}{20} = 0.3 [/tex]

Probability second chocolate picked was white: [tex] \frac{5}{19} = 0.2632[/tex]

To find probability that both of them are white chocolates, multiply probability of the first and second.

0.3 * 0.2632 = 0.07896

≈ 0.079

Convert to percentage by multiplying by 100.

0.079 * 100 = 7.9%

The probability that they are both

white chocolate is 7.9%

Answer:

x=5

Step-by-step explanation:

-3x+7=-8

Bring 7 to the other side, it becomes negative

-3x=-8-7

Signs are same on rhs so u add

-3x = -8+-7= -15

Bring -3 to the other side n divide

therefore,

x=-15/-3

= +5 (two negatives become positive)

Hope it helps!

Answer:

x = 5

Step-by-step explanation:

→Subtract 7 from both sides:

-3x + 7 = -8

-3x = -15

→Divide both sides by -3:

x = 5

Answer: D) The bottom right image

Step-by-step explanation: The linear graph is the one that represents a proportional relationship, the graph goes through the origin. You want it to go through the origin.

I hope this helps!

Answer:

144 degrees.

Step-by-step explanation:

Draw yourself a diagram with 2 horizontal lines and a transversal cutting across it.

After labeling, you will see that angle 4 is the same as angle 1. You can also see that angle 1 and 2 add up to 180, as they are sitting on a straight line.

First, before we get to the angle of 4, we have to find the value of x:

1) angle 1 + angle 2 = 180

3x + 12x = 180

2) solve the above equation for x

15x = 180

3) divide both sides by 15 for x

x= 12 degrees

We know that angle 4 is the same as angle 2, which is 12x degrees.

So, now that we know what x is, 12 x 12 degrees =  144 degrees.

Hope this helped : )

The measure of angle ∠4 is 144°

Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.

Corresponding angles

When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position

Alternate Interior Angles

Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.

Alternate Exterior Angles

The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.

Consecutive Interior Angles

When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.

Given data ,

The measure of angle 1 = ( 3x )°

The measure of angle 2 = ( 12x )°

Angle 1 and Angle 2 are on the straight lines

So , the sum of the measures of angles = 180°

On simplifying the equation , we get

3x + 12x = 180

15x = 180

Divide by 15 on both sides of the equation , we get

x = 12

Substituting the value of x in the equation , we get

The measure of angle 2 = measure of angle 4 ( corresponding angles )

So , the measure of angle 4 = ( 12x )°

And , the measure of angle ∠4 = 144°

Hence , the angle ∠4 = 144°

To learn more about parallel lines cut by transversal click :

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Answer:

7

Step-by-step explanation:

7x + 68 = 2x + 103

Subtract 2x from each side

5x + 68 = 103

Subtract 68 from each side

5x = 35

divide 5 from 35 and you get X = 7

Answer:

32000

Step-by-step explanation:

1.04x=33280

32000

Answer: I think is c

Step-by-step explanation:

Answer:

{x ∈ R: x<6}

Step-by-step explanation:

Given

Required

Write the set using set builder notation

The very first thing to do is to list out the range of x, using inequalities;

x is less than 6 implies that -infiniti < x < 6

The next step is to translate this to set builder. This is done as follows

x ∈ R - > This means that x is a real number

x < 6 -> where x is less than 6.

Bringing these two together, it gives:

{x ∈ R: x<6}

Hence, the set of real numbers x less than 6 is equivalent to {x ∈ R: x<6} using set builder notation

Answer:

C)  x > - 1

Step-by-step explanation:

8(7 - x) < 64

56 - 8x < 64

56 - 64 < 8x

- 8 < 8x

- 1 < x

x > - 1

Answer:

The answer is c, or x > -1.

Step-by-step explanation:

Problem: 8(7-x) < 64

Distributive Property - So multiply 8 by both 7 and x individually

56 - 8x < 64

Subtract 56 from both sides

-8x<8

Divide both sides by 8 and flip the sign because whenever you divide or multiply an inequality by a negative number, you flip the sign.

x>-1

Hope that helped!

Answer:

c

Step-by-step explanation:

(-3s+2t)(4s+t)=-12s^2-3st+8st+2t^2 =  [tex]-12s^2+8st-2t^2[/tex]

Answer:

The slope of the line is D. 3/2.

Step-by-step explanation:

Answer:

133

Step-by-step explanation:

We are given the expression:

s(6-t)+7(s+1)

We are also given s=6 and t= -8. Therefore, we can substitute 6 in for s and -8 in for t.

6(6--8) +7(6+1)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

First, solve inside the parentheses. Subtract 6 and -8.

6(14)+7(6+1)

Solve the other set of parentheses. Add 6 and 1.

6(14)+7(7)

Multiply 6 and 14.

84+7(7)

Multiply 7 and 7

84+49

Add 84and 49

133

Answer:

133

Step-by-step explanation:

s(6 - t) + 7(s + 1)

Plug in numbers:

6(6 - (-8)) + 7(6+ 1)

using Bedmas, solve:

Brackets first: 6(14) + 7(7)

Solve multiplication: 84 + 49

Add together: 133

Answer:

the length of the radius of the Earth Model = 9cm

Step-by-step explanation:

The volume of the model of Earth is approximately 3052.08 cubic centimeters.

It has been discovered that the Earth is spherical in shape, hence this model is spherical as well.

The formula for the Volume of a Sphere = 4/3 πr³

Where r = radius or the length of the radius

The Volume of the Earth Model = 3052.08 cm³

We are told to use π = 3.14

To find the length of the radius, we have derive the formula

V = 4/3 × π × r³

V = 4πr³/3

Cross multiply

3V = 4πr³

Divide both side by 4π

3V/4π = r³

We find the cube root of both sides =

∛(3V/4π) = r

Substituting our given values in the question, we have:

∛(3 × 3052.08/ 4 ×3.14) = r

r = ∛9156.24÷12.56

r = ∛729

r = 9cm

Therefore, the length of the radius of the Earth Model = 9cm

Answer: Angles 1 and 3 are adjacent to angle 140. (because they are next to each other)

Angles 1 and 2, 1 and 140, 140 and 3, and 3 and 2 are supplementary (because together they add up to 180 degrees)

Angles 140 and 2 and 1 and 3 are vertical angles because they are across from each other.

This may be a little confusing, so don't be afraid to ask for clarification, but great luck!

Answer:

Step-by-step explanation:

Given sin α = –4∕5 and sin β = 1∕2

To get α from sin α = –4∕5,

α = arcsin(-4/5)

α = arcsin (-0.8)

α = -53.13°

If angle α is in quadrant III, then α = 180+53.13 = 233.13° (sin is negative in the 3rd quadrant)

Similarly for sin β = 1∕2

β = arcsin(1/2)

β = arcsin(0.5)

β = 30°

Since  β is in quadrant II,  β = 180-30 = 150°

To find  cos (α + β). where α = 233.13° and  β = 30°

cos (α + β)= cos (233.13 + 150)

= cos 383.13°

cos (α + β) = 0.9196

Answer:

WAY BELOW...

Step-by-step explanation:

So first look at the base. It is an octagon.

Look at the answers now. You can eliminate the ones that don't have triangles, and you have two pyramids. One has a hexagon base and one has a octagon base.

That's the answer.

Answer:

Hey!

Your answer is BELOW!!!

Step-by-step explanation:

HOPE THIS HELPS!!

Answer: 13

Step-by-step explanation: 15-2=13

Answer:

Step-by-step explanation:

Given the following parameters

standard deviation σ = 2.5

z-score Z = 2.4

observed value x = 16

Mean of the dataset μ = ?

Using the formula for calculating the z-score as shown to calculate the mean

[tex]Z = \frac{x - \mu}{\sigma}[/tex]

On substituting the values;

[tex]2.4 = \frac{16-\mu}{2.5} \\2.4 * 2.5 = 16-\mu\\6 = 16-\mu\\\mu = 16-6\\\mu = 10[/tex]

The mean of the dataset is 10

Answer:

3 plus 3 and 9 plsu 9 is 23 or 25 hope it help lil boy or girl

Step-by-step explanation:

the answer is in the top

The root index of 5 start root 13 cubed End root is [tex]13^\frac{3}{5}[/tex].

If 'n' is a positive integer that is greater than 1, and 'a' is a real number then "n √a = [tex]a^\frac{1}{n}[/tex]  where 'n' is root index, 'a' is base and '√' is radical".

According to the question,

5 start root 13 cubed end root can be written in root index form.

If 'n' is a positive integer that is greater than 1, and 'a' is a real number then "n √a = [tex]a^\frac{1}{n}[/tex]  where 'n' is root index, 'a' is base and '√' is radical".

= [tex]13^\frac{3}{5}[/tex].

Hence, the root index of 5 start root 13 cubed End root is [tex]13^\frac{3}{5}[/tex].

Learn more about root index here

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Answer: D

Step-by-step explanation:

you're welcome

Answer: D

Step-by-step explanation:

72/150 x 100 = 48%

Answer:

Slope= -1x OR -x

Step-by-step explanation:

rise over run: y2 - y1 / x2 - x1

= 3 - (-3) / -4 - 2

= 6 / -6

= -1

Answer:

Y=-x-3 slope =-1

Step-by-step explanation:

To first find the gradient u have to subtract the y intercepts and the x intercepts

3--3/-4-2

=6/-6=-1

Y-3/x--4=-1

Y-3=-1(x+4)

Y-3=-x+-4

Y=-x-4+3

Y=-x-3

Slope=-1