What is the median of the data set represented by the dot plot?

Answer:

B. X-6 and E. X + 4

Step-by-step explanation:

B. X-6

(-6)^2 + 2(-6) - 24

36 - 12 - 24

36 - 36 = 0

E. X + 4

(4)^2 + 2(4) - 24

16 + 8 - 24

24 - 24 = 0

Answer:

A

Step-by-step explanation:

on edge2021

The probability that a sequence will contain exactly one zero is true in options {B}, {C} and {D}.

We can write the formula for probability as -

P{Event} = (no. of favorable outcomes)/(Total no. of favorable outcomes)

For the sequence {A} -

000, 001, 010, 011, 100, 101, 110, 111

P{one zero} ≠ 7/8

For the sequence {B} -

001, 011, 101, 111

P{one zero} = 7/8

For the sequence {C} -

000, 010, 011, 101, 111

P{one zero} = 2/8

For the sequence {C} -

000, 001, 010, 011, 100, 101, 110, 111

P{one zero} = 3/8

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Answer:

1/6 is the probability. im pretty sure

Answer:

To simplify a power of a power, you multiply the exponents, keeping the base the same. For example, (23)5 = 215. For any positive number x and integers a and b: (xa)b= xa· b.

Step-by-step explanation:

Answer:

a) Area of the base of the pyramid = [tex]15.6\ mm^{2}[/tex]

b) Area of one lateral face = [tex]24\ mm^{2}[/tex]

c) Lateral Surface Area = [tex]72\ mm^{2}[/tex]

d) Total Surface Area = [tex]87.6\ mm^{2}[/tex]

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. [tex]\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\[/tex]

[tex]{\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}[/tex]

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

[tex]\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}[/tex]

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

[tex]\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}[/tex]

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to Lateral Surface Area + Area of base

[tex]\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}[/tex]

Hence,

a) Area of the base of the pyramid = [tex]15.6\ mm^{2}[/tex]

b) Area of one lateral face = [tex]24\ mm^{2}[/tex]

c) Lateral Surface Area = [tex]72\ mm^{2}[/tex]

d) Total Surface Area = [tex]87.6\ mm^{2}[/tex]

Answer:

Sample answer A triangular pyramid with an equilateral triangle for a base has four faces the equilateral triangular base and

three congruent isosceles triangular faces

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

(24 - 15) x 4 - 3 x 2

9 x 4 - 3 x 2

36 - 6

30

Answer:

Option D.

Step-by-step explanation:

The given parent function is

[tex]f(x)=\dfrac{1}{x}[/tex]

The given function is

[tex]g(x)=\dfrac{1}{x+4}-6[/tex]

Using the parent function, the given function can be written as

[tex]g(x)=f(x+4)-6[/tex]        ...(1)

The translation is defined as

[tex]g(x)=f(x+a)+b[/tex]        .... (2)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

[tex]a=4>0[/tex], it means the graph shifts 4 units left.

[tex]b=-6<0[/tex], it means the graph shifts 6 units down.

So, g(x) is shifted 4 units left and 6 units down from f(x).

Therefore, the correct option is D.

Transformation involves changing the form of a function.

The true option is (d) g(x) is shifted 4 units left and 6 units down from f(x).

The functions are given as:

[tex]g(x)= \frac{1}{x + 4} - 6[/tex]

[tex]f(x)= \frac{1}{x}[/tex]

Start by shifting the function to the left, by 4 units.

This is represented as:

[tex](x,y) \to (x + 4,y)[/tex]

So, we have:

[tex]f'(x)= \frac{1}{x + 4}[/tex]

Next, shift the function down, by 6 units.

This is represented as:

[tex](x,y) \to (x,y - 6)[/tex]

So, we have:

[tex]g(x)= \frac{1}{x + 4} - 6[/tex]

Hence, the true option is (d)

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Answer:

Yes this equation is in standard form.

Answer:

yes this equation is in standard form

Answer:

1.b = 7500[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Answer:

Number 1 Answer: 1.b = 7500\sqrt{3}

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

10 + 13 + 5 = 28 who drink either, or, or neither

30 - 28 = 2

Answer:

2 drink both tea and milk

Step-by-step explanation:

30 people - 13 drink neither = 17 - 10 drink milk but not tea = 7 - 5 drink tea but not milk = 2 drink both tea and milk.

Answer:

w=9z

Step-by-step explanation:

For each z value, w is 9 times that. For instance, 18 is 9 times 2, and 45 is 9 times 5. Therefore, the equation that would describe this is w=9z. Hope this helps!

Answer:

z = (1/9) w or w = 9z

Step-by-step explanation:

w = 18 , z = 2

if relationship is proportional than z = k (constant) *w

2 = k * 18 divide each side by 18

k = 2/18 = 1/9

Answer:

f(-2)=-5

Step-by-step explanation:

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

f(-2)= -3-2

f(-2)= -5

Evaluation of f(-2)=-5.

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

How to solve?

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

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

f(-2)= -3-2

f(-2)= -5

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Answer:

0

Step-by-step explanation:

To simplify you need to distribute then add like terms.

6(3x-5) + 2(3x-5) - 8(3x-5)

18x - 30 + 6x - 10 - 24x + 40

0x + 0

0

Answer:

6(3x - 5) + 2(3x - 5) - 8(3x - 5) = 0

Step-by-step explanation:

The expression is,

→ 6(3x - 5) + 2(3x - 5) - 8(3x - 5)

Now we have to,

→ Simplify the given expression.

Let's simplify the expression,

→ 6(3x - 5) + 2(3x - 5) - 8(3x - 5)

Applying Distributive property:

→ 6(3x) - 6(5) + 2(3x) - 2(5) - 8(3x) - 8(-5)

→ 18x - 30 + 6x - 10 - 24x + 40

Rearranging the expression:

→ 18x + 6x - 24x - 30 - 10 + 40

→ (18 + 6 - 24)x - (30 - 10 + 40)

→ 0x - 0

→ 0 => {final answer}

Therefore, the answer is 0.

Answer:

4

Step-by-step explanation:

2 times by itself would make 4

Hope this helps

God loves you

Answer:

C

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

×-1/×-1=1

×-1=1(×-1)

×-1=×-1

×-×=-1+1

0=0

0

The value of the equation is 1.

The equation given is (x-1)/(x-1) = 1.

To determine the solution, we can simplify the equation by canceling out the common factor (x-1) on both sides:

(x - 1)/(x - 1) = 1

1 = 1

The simplified equation 1 = 1 is always true for any value of x.

Therefore, the original equation is true for all values of x, except when x = 1.

When x = 1, the equation is undefined because the denominator becomes zero, resulting in division by zero.

Hence the value of the equation is 1.

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20 × (10 + 6) = (20 × 10) + (20 × 6)

(12 × 3) × 8 = 12 (3 × 8)

Answer:

12

Step-by-step explanation:

3x-9=27

3x=36

x=12

Answer:

x would equal -11 or 13

Step-by-step Explanation:

x(x - 2) - 143 = 0

x^2 - 2x - 143 = 0

-2x + x^2 = 143

-143 + (-2x) + x^2 = 0

(x - 13)(x + 11)

x - 13 = 0

Add 13 to both sides

x = 13

x + 11 = 0

Subtract 11 from both sides

x = -11

==========================================

Explanation:

C and D are inverses of each other. When they multiply together, they will produce the identity matrix I

C*D = I

D*C = I

note: this is the uppercase letter 'i' and not the number one. The 'i' stands for 'identity'. Another thing to note is that matrix multiplication is not normally commutative, but it works for matrix inverses.

--------------------

So this means C*D*D = (C*D)*D = (I)*D = I*D = D because multiplying the identity matrix with some matrix X leads to the same matrix X.

This is why the first choice is the answer.

The second choice doesn't work because C*C*D = C*(C*D) = C*(I) = C*I = C

The third choice doesn't work because we don't have any C's here. All we can say is that D*D*D = D^3

Similarly choice 4 doesn't work as all we can say is C*C*C = C^3.

Answer:

4

Step-by-step explanation:

Answer:

0.0082

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 2 and r = - [tex]\frac{1}{3}[/tex] , thus

[tex]a_{6}[/tex] = - 2 [tex](-\frac{1}{3}) ^{5}[/tex] = - 2 × - [tex]\frac{1}{243}[/tex] = [tex]\frac{2}{243}[/tex] ≈ 0.0082 ( nearest ten- thousandth )

Answer:

5

Step-by-step explanation:

The numerator is the value on top, above the denominator. In an arithmetic sequence you are increasing by the same amount each time. In this case, you are increasing by 1/2 each time. 4/2 plus 1/2 is 5/2, so your numerator is 5.

Answer:

0.02 repeating

Step-by-step explanation:

So first we do 2/9 since all the operations are division we solve left to right. We get 0.2 repeating. Then, after that whenever we divide by 10, we shift everything to the right so we end up with :

0.02 repeating.

Answer:

-9 and 1/2

Step-by-step explanation:

just plug them in the calculator

Answer:

-2 1/4

Step-by-step explanation:

I converted these to decimals and did the equation from there.

Answer:

Distance of foot of ladder from building: 37.2 inches

Distance of top of ladder from building's base: 114 inches

Step-by-step explanation:

Please refer to the figure attached in the answer area.

A right angled triangle [tex]\triangle ABC[/tex] is formed by the ladder with the building where hypotenuse is the length of ladder.

Hypotenuse, AC = 10 foot

Also, we are given that angle made by the base of ladder with the ground is [tex]72^\circ[/tex].

We have to find AB and BC.

[tex]\angle BAC = 72^\circ[/tex]

Using trigonometric functions:

[tex]cos \theta= \dfrac{Base}{Hypotenuse}\\cos 72^\circ= \dfrac{AB}{AC}\\\Rightarrow 0.309 = \dfrac{AB}{AC}\\\Rightarrow AB = 10 \times 0.309\\$\approx$ 3.1 foot\\$\approx$ 37.2 inches[/tex]

[tex]sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow sin72^\circ = \dfrac{BC}{AC}\\\Rightarrow 0.95 = \dfrac{BC}{AC}\\\Rightarrow AB = 10 \times 0.95\\$\approx$ 9.5 foot\\$\approx$ 114 inches[/tex]

Distance of foot of ladder from building: 37.2 inches

Distance of top of ladder from building's base: 114 inches