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3 years ago

66 2/3 as a percentage

Mathematics

1 answer:

svlad2 [7]3 years ago

5 0

first, do 2/3 = 0.66

66.66%

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Three of four numbers have a sum of 22. If the average of the four numbers is 8, what is the fourth number ?

KatRina [158]

X+y+z=22

(x+y+z+t)/4=8
subsitute
x+y+z=22
(22+t)/4=8
multiplly by 4
22+t=32
subtract 22
t=10

the fourth number is 10

3 0

3 years ago

(UPE) Terremotos são eventos naturais que não têm relação com eventos climáticos extremos, mas podem ter consequências ambientai

Alex

Answer:

E= $10^{18}$ Joules

Step-by-step explanation:

1) Olá! Adicionando dados faltantes ao enunciado, como a fórmula dada: $M=\frac{2}{3}log(\frac{E}{E_{0}})\\$ e corrigindo a quantidade de Energia inicial: $10^{4,5}$ Vamos seguir aplicando a fórmula, lembrando das propriedades de logaritmo.

$M=\frac{2}{3}log(\frac{E}{E_{0}})\\9=\frac{2}{3}log(\frac{E}{10^{4,5}})*3\\27=2log(\frac{E}{10^{4.5}})\\log(\frac{E}{10^{4.5}})^{2}=27\\(\frac{E^{2}}{10^{9}})=10^{27}\\E^{2}=10^{27}*10^{9}\Rightarrow E=\sqrt{10^{36}}\rightarrow E=10^{18} Joules$

6 0

3 years ago

What expression is equivalent to 24+30

worty [1.4K]

1) 2(30x-24)
60x-48
2) 3(20x-16)
60x-48
3) 4(15x-12)
60x-48
Simplify
60x-48
12(5x-4)
Answer: 12(5x-4)

6 0

3 years ago

The triangles are similar. What is the value of x? Enter your answer in the box. x =

notsponge [240]

Answer:

Value of x is used to consider unknown value. The letter “x” is commonly used in algebra to indicate an unknown value. It is referred to as a “variable” or, in some cases, a “unknown.” In x + 2 = 7, x is a variable. ... A variable need not be “x,” but might be “y,” "w," or any other letter, name, or symbol.

6 0

3 years ago

A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are supposed to contain 300 milliliters

PilotLPTM [1.2K]

Answer:

e. 0.0072

Step-by-step explanation:

We are given that a bottling company uses a filling machine to fill plastic bottles with cola. And the contents vary according to a Normal distribution with Mean, μ = 298 ml and Standard deviation, σ = 3 ml .

Let Z = $\frac{Xbar - \mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1) where, Xbar = mean contents of six randomly

selected bottles

n = sample size i.e. 6

So, Probability that the mean contents of six randomly selected bottles is less than 295 ml is given by, P(Xbar < 295)

P(Xbar < 295) = P( $\frac{Xbar - \mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{295 - 298}{\frac{3}{\sqrt{6} } }$ ) = P(Z < -2.45) = P(Z > 2.45)

Now, using z% score table we find that P(Z > 2.45) = 0.00715 ≈ 0.0072 .

Therefore, option e is correct .

7 0

3 years ago