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dalvyx [7]
3 years ago
5

−

Mathematics
1 answer:
amid [387]3 years ago
6 0

Answer:

\frac{-50}{54} - \frac{40}{100} +1.65 = 0.32

Step-by-step explanation:

First of all, let us lay out the problem clearly:

\frac{-50}{54} - \frac{40}{100} +1.65

This can be solved using a calculator, by first simplifying the individual fractions first, to decimals, then computing the addition and subtraction.

using your calculator, punch (-50 ÷ 54), your results should be:

-50 ÷ 54 = -0.93

Next, punch ( 40 ÷ 100), you should get 0.4

Now, join the individual results together to get:

- 0.93 - 0.40 + 1.65

Finally, still using the calculator, input the values as shown:

- 0.93 - 0.40 + 1.65 = 0.32

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George ate 2/ 3 of a container of Chinese food. Silvia ate 1/ 5 of the same container of Chinese food. What fraction of the cont
Liono4ka [1.6K]

Answer: Fraction of the container of Chinese food they eat together = \dfrac{13}{15}

Step-by-step explanation:

Given, Fraction of Chinese food eaten by George = \dfrac23

Fraction of Chinese food eaten by Silvia = \dfrac15

Fraction of the container of Chinese food they eat together = \dfrac23+\dfrac15 =\dfrac{2\times5+3\times1}{3\times5}

=\dfrac{10+3}{15}=\dfrac{13}{15}

Fraction of the container of Chinese food they eat together = \dfrac{13}{15}

4 0
2 years ago
a) In a simple random sample of 1000 faculty taken among all universities in a country, the number of papers published by the in
larisa86 [58]

Answer:

According to the Central Limit theorem, the distribution is roughly normal

Step-by-step explanation:

The Central Limit Theorem states that for sample sizes above 30 and not withstanding population distribution's shape, the sampling distribution of the sample mean becomes more similar t hat of a normal distribution as the sample size increases;

The size of the sample = 1,000 >> 30

As the sample size approaches infinity, we have;

z=\dfrac{\bar{x}-\mu }{\dfrac{S.D.}{\sqrt{n}}}

\overline x = 1.5

S.D. = 1.8

n = 1000

Assume μ = 1, we get;

P(x > 1.1):z=\dfrac{1.1-1 }{\dfrac{1.8}{\sqrt{1000}}} = 1.7568

P(z > 1.7568) = 1 - 0.96080 = 0.0392

Therefore, it is very likely that the mean of the population is not larger than the sample mean

Therefore, yes, the Central Limit Theorem say that the distribution of the number of papers published by the individual sampled faculty in the past year is roughly normal

7 0
3 years ago
If f(x) = 2x2 + 1, what is f(x) when x = 3?
ikadub [295]
f(x)=2x^2+1\\\\\text{substitute the value of x to the equation of the function}\\\\f(3)=2\cdot3^2+1=2\cdot9+1=18+1=19
8 0
3 years ago
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If a point
(
x
,
y
)
is written as
(
r
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in polar coordinates, then
x
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r
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s
θ
and
y
=
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sin
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As such in polar form equation
x
=
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r
cos
θ
=
−
3
or
r
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3
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7 0
2 years ago
PLEASE HELP <br> the answer is not <br> 1/4^-2
hram777 [196]

Answer:

4^3÷4^5

4^(3-5)

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6 0
2 years ago
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