All categories

3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Mathematics

2 answers:

krok68 [10]3 years ago

6 0

I think its 40 over 81, 40/81

Pavel [41]3 years ago

5 0

Answer: $\bold{a_n=120\bigg(\dfrac{1}{3}\bigg)^{n-1}}$

<u>Step-by-step explanation:</u>

$\text{A geometric sequence is represented by:}\ a_n = a_1 (r)^{n-1}\\\text{where}\ a_1\ \text{is the first term, r is the common ratio, and n is the term}$

$\text{In the given sequence,}\ a_1=120\ \text{and r} = \dfrac{40}{120}=\dfrac{1}{3}$

$\rightarrow \ a_n=120\bigg(\dfrac{1}{3}\bigg)^{n-1}$

You might be interested in

Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 sam

tigry1 [53]

Answer:

$P(A) = \frac{30}{100}$

$P(B) = \frac{77}{100}$

$P(A\ n\ B) = \frac{22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

Step-by-step explanation:

Given

See attachment for proper format of table

$n = 100$ --- Sample

A = Supplier 1

B = Conforms to specification

Solving (a): P(A)

Here, we only consider data in sample 1 row.

In this row:

$Yes = 22$ and $No = 8$

So, we have:

$n(A) = Yes + No$

$n(A) = 22 + 8$

$n(A) = 30$

P(A) is then calculated as:

$P(A) = \frac{n(A)}{Sample}$

$P(A) = \frac{30}{100}$

Solving (b): P(B)

Here, we only consider data in the Yes column.

In this column:

$(1) = 22$ $(2) = 25$ and $(3) = 30$

So, we have:

$n(B) = (1) + (2) + (3)$

$n(B) = 22 + 25 + 30$

$n(B) = 77$

P(B) is then calculated as:

$P(B) = \frac{n(B)}{Sample}$

$P(B) = \frac{77}{100}$

Solving (c): P(A n B)

Here, we only consider the similar cell in the yes column and sample 1 row.

This cell is: [Supplier 1][Yes]

And it is represented with; n(A n B)

So, we have:

$n(A\ n\ B) = 22$

The probability is then calculated as:

$P(A\ n\ B) = \frac{n(A\ n\ B)}{Sample}$

$P(A\ n\ B) = \frac{22}{100}$

Solving (d): P(A u B)

This is calculated as:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$

This gives:

$P(A\ u\ B) = \frac{30}{100} + \frac{77}{100} - \frac{22}{100}$

Take LCM

$P(A\ u\ B) = \frac{30+77-22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

8 0

3 years ago

What is the length of the base of a yield sign that has a height of 14 inches and has an area of 84 square inches? Write the num

Rufina [12.5K]

That's simple, it is 6. Hope this helps.

4 0

3 years ago

Read 2 more answers

Cameron ran 3.8 miles per every 1.9 miles that Samantha ran and if Samantha and 7.6 miles how far did Cameron run

bija089 [108]

3.8 / 1.9 = x / 7.6....3,8 miles to 1.9 miles = x miles to 7.6 miles
cross multiply
(1.9)(x) = (3.8)(7.6)
1.9x = 28.88
x = 28.88 / 1.9
x = 15.2 <== Cameron ran 15.2 miles

8 0

3 years ago

Factorise 3x^2-22x+7

Svet_ta [14]

Answer:

(3x+7)(x+5)

Step-by-step explanation:

i think lol

3 0

3 years ago

Help plz with this question. Needed fast. I will mark brainliest.

vodomira [7]

Answer:

≈ 68.2°

Step-by-step explanation:

tan X= 20/8

tan X= 2.5

x= tan ⁻¹ 2.5

x ≈ 68.2°

7 0

3 years ago

Read 2 more answers