A bag contains tickets numbered 1 through 5. Use the probability distribution to determine the probability of drawing an even numbered ticket.​

Answer:

a. Firat term of the sequence= 77

b. 29th term of the sequence= -35

c. Sum of the first 40 terms of the sequence= -40

Step-by-step explanation:

The first term of the sequence is 77, the 29th term of the sequence is -35 and the sum of the first 40 terms of the sequence is -40.

Given that, [tex]a_{15} =21[/tex] and d=-4.

The nth term of the arithmetic sequence is [tex]a_{n} =a+(n-1)d[/tex].

To find the first term of the sequence:

[tex]a_{15}[/tex]=a+(15-1)(-4)

⇒21=a+(15-1)(-4)

⇒a=77

To find the 29th term of the sequence:

[tex]a_{29}[/tex]=77+(29-1)(-4)=-35

To find the sum of the first 40 terms of the sequence:

The first n terms of a sequence [tex]=\frac{n}{2}[2a+(n-1)d)][/tex]

[tex]S_{40} =\frac{40}{2}[2 \times77+(40-1)(-4))][/tex]

=20(154-156)=-40

Therefore, the first term of the sequence is 77, the 29th term of the sequence is -35 and the sum of the first 40 terms of the sequence is -40.

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Answer:

1.2, 1.6, 2.0

Step-by-step explanation:

Pythagorean theorem

A^2 +b^2=c2

1.2^2+1.6^2=2^2

1.44 + 2.56=4

4=4

Since equation works (4=4), it is a right triangle.

Answer:

1.

2. $25 dollars for 10 toppings

3. $19 dollars for 6 toppings

4. 6 toppings

Step-by-step explanation:

Answer:

(x - 3)² + (y + 2)² = 16

Step-by-step explanation:

The center is determined by what number is subtracted from the variables.

The radius is squared and set equal to the variable side.

Answer:

270 s

Step-by-step explanation:

4 minutes = 240s

add the other 30s

boom

Answer:

10 feet

Step-by-step explanation:

pythagorean theorem

Answer:

Hypotenuse = 10.

Step-by-step explanation:

h^2 = 6^2 + 8^2

= 36 + 64

= 100

So h= 10.

Answer:

6.65 kilometers

Step-by-step explanation:

950 * 7 days a week = 6650 meters

6650 meters / 1000 (conversion to kilometers) = 6.65 kilometers

Answer:

6.65  km

Step-by-step explanation:

Let's solve this in a set of fraction forms. Since 1 day is 950 meters, 1 week will be converted to days to be on equal grounds. 1 week = 7 days. Therefore, let us set up a fraction; Let "x" be the variable

[tex]\frac{950}{1}=\frac{x}{7}[/tex]

Step 1: Switch sides

[tex]\frac{x}{7}=\frac{950}{1}[/tex]

Step 2: Apply rule [tex]\frac{a}{1}=a[/tex]

[tex]\frac{x}{7}=950[/tex]

Step 3: Multiply both sides by 7

[tex]\frac{7x}{7}=950\cdot \:7[/tex]

Step 4: Simplify

[tex]x=6650[/tex]

Expressed: [tex]\frac{6650 meters}{1000}[/tex] (convertion to kilometers) = 6.65 kilometers

Therefore, Janet would walk 6.65 km in an entire week

Answer:

28x

Step-by-step explanation:

Use foil to get

8x^2 +28x+12

middle term is 28x

The equivalent expression of [tex]w^{4} -36[/tex] is [tex](w^{2} -6)(w^{2} +6)[/tex].

Equivalent expressions are expressions that work the same even though they look different.

According to the given question.

we have an expression [tex]w^{4} -36[/tex]

The equivalent expression of the above expression can be given by

[tex]w^{4} -36[/tex]

⇒ [tex](w^{2}) ^{2} -(6)^{2}[/tex]

⇒[tex](w^{2}-6)(w^{2} +6)[/tex]      (by using the property [tex]a^{2} -b^{2} = (a-b)(a+b)[/tex] )

Hence, the equivalent expression of [tex]w^{4} -36[/tex] is [tex](w^{2} -6)(w^{2} +6)[/tex].

Thus, option D is correct.

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Answer:

To find the hypotenuse, you would use the formula a^2 + B^2 = C^2

That is the formula for the pythagorean theorem.

I suggest you first plot it on a graph, then could the units on the sides that make up the legs.

When you plot it, the legs are both 1 unit.

so it would be, following the formula:

1^2 + 1^2 = c^2

1 x 1 + 1 x 1 = c^2

2 = c^2

Then you square root:

√2 = √c^2

1.41421356 = c

1.41421356 rounded to the nearest tenth is 1.4.

So the length of (5,1), (4,0) is ≈1.4

Answer:

look at the picture i have sent

10; decreases

8: decreases, increases

7: increases, stays the same, increases, stays the same, increases.

9: increases, increases

I hope that this is correct and was able to help

Answer:

M' (- 3, 1 )

Step-by-step explanation:

Under a rotation about the origin of 90°

a point (x, y ) → (- y, x ) , then

M (1, 3 ) → M' (- 3, 1 )

Answer:

-32x-48y

Step-by-step explanation:

multiply: -4 (8x) - 4 (12y) = -32x-48y

Answer:

32x - 48y

Step-by-step explanation:

when you distribute, -4 has to go to both -8x and 12y  

so -4 times -8x = 32x

-4 times 12 = -48y

Final answer: 32x - 48y

Answer:

A. 14.4

b. x-20%

c. 23 dollars

Step-by-step explanation:

you have to take away the 20% or multiply the price by 0.2 which is 20%

Answer: b

Step-by-step explanation: b

Answer: 1/4

Step-by-step explanation:

Answer:

1/4 would be your answer.

Step-by-step explanation:

Hope this helps!, and if this Is wrong someone correct me.

Answer:

b is the answer I believe so because it have to be greater than 0

Step-by-step explanation:

I hope it's right and if not my bad

Answer:

C)  100 sq. meters

Step-by-step explanation:

Answer:

I'm pretty sure it's 18 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

by intersecting chord theorem, 27*y = 13*17

y=13*17/27=8.185=8.19

Answer:

It really all depends on how much percent of your grade the test is worth. If your current average is 77%, and the test is worth 30-100% of your grade, then the 77% will likely become 75% or even 73%.

Step-by-step explanation:

It all just depends.

Answer:

35

Step-by-step explanation:

Answer:

-81+9p

Step-by-step explanation:

-9(9-p)

-9×9-9×-p

-81-9×-p

-81-(-9p)

-81+9p

9p-81

Answer:

Aired

Step-by-step explanation:

Answer:

2,600.00

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!