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3 years ago

Which numbers are equivalent to this expression

Mathematics

1 answer:

IRINA_888 [86]3 years ago

3 0

Answer:

0.05

Step-by-step explanation:

When you subtract 1 3/4 by 0.25, as a decimal is 1.5 and when you divide 1.5 by 30, you'll get 0.05.

Tell me if I'm wrong or not.

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. Suppose the weight of Chipotle burritos follows a normal distribution with mean of 450 grams, and variance of 100 grams2 . Def

mylen [45]

Complete Question

Suppose the weight of Chipotle burritos follows a normal distribution with mean of 450 grams, and variance of 100 grams2 . Define a random variable to be the weight of a randomly chosen burrito.

(a) What is the probability that a Chipotle burrito weighs less than 445 grams? (3 points)

(b) 20% of Chipotle burritos weigh more than what weight

Answer:

$P(X < 445 )= 0.3085$

$k = 458.42$

Step-by-step explanation:

From question we are told that

The population mean is $\mu = 450 \ g$

The variance is $var = 100 \ g^2$

The consider weight is $x = 445 \ g$

The standard deviation is mathematically represented as

$\sigma = \sqrt{var}$

substituting values

$\sigma = \sqrt{ 100}$

$\sigma = 10$

Given that weight of Chipotle burritos follows a normal distribution the the probability that a Chipotle burrito weighs less than x grams is mathematically represented as

$P(X < x ) = P ( \frac{X - \mu }{\sigma } < \frac{x - \mu }{\sigma } )$

Where $\frac{X - \mu }{\sigma }$ is equal to z (the standardized values of the random number X )

$P(X < x ) = P (Z < \frac{x - \mu }{\sigma } )$

substituting values

$P(X < 445 ) = P (Z < \frac{445 - 450 }{10} )$

$P(X < 445 ) = P (Z$

Now from the normal distribution table the value for $P (Z$ is

$P(X < 445 ) = P (Z$

=> $P(X < 445 )= 0.3085$

Let the probability of the Chipotle burritos weighting more that k be 20% so

$P(X > k ) = P ( \frac{X - \mu }{\sigma } > \frac{k - \mu }{\sigma } ) = 0.2$

=> $P (Z> \frac{k - \mu }{\sigma } ) = 0.2$

=> $P (Z> \frac{k - 450}{10 } ) = 0.2$

From the normal distribution table the value of z for $P (Z> \frac{k - \mu }{\sigma } ) = 0.2$ is

$z = 0.8416$

=> $\frac{k - 450}{10 } = 0.8416$

=> $k = 458.42$

6 0

3 years ago

Question help a robotic rover on mars finds a spherical rock with a diameter of 1313 centimeters. the rover picks up the rock an

KengaRu [80]

Due to apparent doubling of numbers in the question, assume
diameter=13 cm/2=0.065m
h=15 cm=0.15m
rho=5.25*1000=5250 kg/m^3
eta=35%=0.35 [efficiency]
t=12 s
g=3.7 m/s^2

mass, m=rho*V=rho*(4pi/3)(r^3)
=5250 kg/m^3 * (4pi/3)(0.065)^3 m^3
=1.922 kg

Work done in lifting h=0.15m
W=mgh
=1.922pi kg * 3.7 m/s^2 * 0.15 m
=1.067pi kg (m/s)^2
=1.067pi J

Average power required, with efficiency eta=0.35
P=(W/t)/eta
=(1.067pi J )/ (12 s) /0.35
=0.254pi J/s
=0.798W (approx.)

3 0

3 years ago

Find the value of x. Round your answer to the nearest tenth.

dsp73

Answer:

The value of x is 2

Step-by-step explanation:

<h3><u>Given</u>;</h3>

A right angled-triangle

The value of x

Now,

tan 27 = 1/x

0.5 = 1/x

x = 1/0.5

x = 2

Thus, The value of x is 2

<u>-TheUnknownScientist 72</u>

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3 years ago

(2x + 1)(x-2)(x + 3)

Nadya [2.5K]

I hope that helped you!

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3 years ago

How can you solve 1/4 (8x+3)

Alika [10]

1/4 (8x+3) ⇒ 1/4×8x = 2x +3

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