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Valentin [98]
2 years ago
11

Cristina puede mecanografiar un ensayo de 50 páginas en 8h. Si el mes pasado Cristina y Ángela juntas mecanografiaron un ensayo

del mismo tamaño en 6 horas. Cuanto tiempo le tomaría a Ángela hacerlo sola
Mathematics
1 answer:
ehidna [41]2 years ago
5 0

Cristina can type a 50 page essay in 8h. Yes, last month Cristina and Angela together typed an essay of the same size in 6 hours. How long would it take Angela to make it sun

Translated

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What is the value of x? Round to the nearest tenth(1 decimal place)​
liraira [26]

Answer:

x ≈ 15.0 ft

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Trigonometry</u>

  • tan∅ = opposite over adjacent

Step-by-step explanation:

<u>Step 1: Define</u>

Angle = 28°

Opposite leg of angle = 8 ft

Adjacent leg of angle = x ft

<u>Step 2: Find </u><em><u>x</u></em>

  1. Substitute:                                        tan28° = 8/x
  2. Multiply <em>x </em>on both sides:                 xtan28° = 8
  3. Divide tan28° on both sides:          x = 8/tan28°
  4. Evaluate:                                          x = 15.0458
  5. Round:                                              x ≈ 15.0 ft
6 0
3 years ago
Can someone help me. I’ve tried doing this on paper. I don’t know what I’m doing wrong
IrinaK [193]
ANSWER: x=12
EXPLANATION:
9+x/6=11
(54+x)/6=11 (finding common denominator)
x/6=11-54/6 (rearranging terms)
x/6=(66-54)/6 (finding common denominator so 6 gets cancelled from both the sides)
x=12
6 0
2 years ago
Read 2 more answers
For safety reasons, 4 different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hills
Evgen [1.6K]

Answer:

<em>99.93%</em>

Step-by-step explanation:

<u>Probability of Independent Events</u>

Given the probability of success of each detector is 0.84 independently of the others, their combined success/failure probability can be computed with the product rule.

We can calculate the required probability by using the binomial distribution, but it's easier to calculate the probability of the negated event an subtract from 1.

We want to know the probability that a least one of the 4 systems detects the occurrence of theft. That probability is the sum of the probabilities that one of them, two of them, three of them or all of them succeed. The negated event is that NONE of them actually detects the theft. Being p the individual probability of success, p=0.84. Being q the probability of failure, q=0.16.

The probability that none of the systems detect the theft is

P(0)=q^4=0.16^4=0.00065536

Thus, the probability that at least one of the systems detect the theft is

P(x\geq1)=1-P(0)=1-0.00065536=0.9993

That means a 99.93%

3 0
3 years ago
What is 3 to the power of 8 divided by 3 to the power of 2
Troyanec [42]

Answer:

729

Step-by-step explanation:

hope this helps!

3 0
3 years ago
Read 2 more answers
There are 446 highlighters in a carton there are 38 cartons. What is the total amount of highlighters in all Carton. Please show
Kisachek [45]
You would do 38 times 446 which equals 16056
8 0
3 years ago
Read 2 more answers
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