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3 years ago

How would I write three times a number plus 5 times a number +4 is 196 as an equation

Mathematics

1 answer:

Yuki888 [10]3 years ago

3 0

Answer:

$number = x \\ then \: 3x + 5x + 4 = 196 \\ = 8x + 4 = 196 \\ 8x = 192 \\ x = \frac{192}{8} \\ x = 24 \\ thank \: you$

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What’s the value of x?

lozanna [386]

x=13 because you put all of them in an equation and set them equal to 180 bc that is how many degrees are in a triangle so it would be 6x+19+5x-15+3x-6=180 and then you solve the equation so it would be 14x-2=180 then you would add to to both side which would cancel out on the left and make 182 on the right then divide 182 by 14 and you get 13.

6 0

3 years ago

. 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

$z = 0.8416$

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

=> $k = 458.42$

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3 years ago

If MNO IS NMO what statement best describes triangle MON?

kirill [66]

If , what statement best describes triangle MON?

5 0

4 years ago

Read 2 more answers

Melanie is 5 years younger than twice Michael's age. Which expression represents Melanie's age? *

Sphinxa [80]

Answer: c) 2x-5

We can represent two times micheal’s age as 2x, and 5 years younger would be you subtract 5
So the answer is 2x-5

7 0

4 years ago

A phone plan charges $15.95 per month and $0.10 for every minute, m, that the phone is used. Mr. Kordemsky wants his phone bill

aleksandrvk [35]

Answer:

The inequality that could be used to model this situation is 15.95+0.10m<40. Also, the number of minutes has to be less than 240.5 for Mr. Kordemsky's phone bill for the month to be less than $40.

Step-by-step explanation:

From the information provided, the inequality would indicate that the phone bill for the month that is equal to the result of the fixed fee plus the price per minute for the number of minutes has to be less than $40, which can be expressed as:

15.95+0.10m<40

Now, you can solve for m:

15.95+0.10m<40

0.10m<40-15.95

0.10m<24.05

m<24.05/0.10

m<240.5

According to this, the answer is that the inequality that could be used to model this situation is 15.95+0.10m<40. Also, the number of minutes has to be less than 240.5 for Mr. Kordemsky's phone bill for the month to be less than $40.

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3 years ago