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3 years ago

7+3x-12x=3x+1 is it Infinitely many solutions, one solution, or no solutions with steps please

Mathematics

1 answer:

alisha [4.7K]3 years ago

3 0

Answer:

One solution

Step-by-step explanation:

7 + 3x - 12x = 3x + 1
7 - 9x = 3x + 1
3x + 9x = 7 - 1
12x = 6
x = 6/12
x = 1/2

It has one solution

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If the weight (in grams) of cereal in a box of Lucky Charms is N(489,6), what is the probability that the box will contain less

Wittaler [7]

Answer:

0.000064 = 0.0064% probability that the box will contain less than the advertised weight of 466 g.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

N(489,6)

This means that $\mu = 489, \sigma = 6$

What is the probability that the box will contain less than the advertised weight of 466 g?

This is the p-value of Z when X = 466. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{466 - 489}{6}$

$Z = -3.83$

$Z = -3.83$ has a p-value of 0.000064

0.000064 = 0.0064% probability that the box will contain less than the advertised weight of 466 g.

3 0

3 years ago

John is 3 years older than Jim. Jim is 4 years less than twice David’s age. How old are the three boys if their ages add up to 3

gulaghasi [49]

Answer:

15 years , 12 years , 8 years.

Step-by-step explanation:

Given:

John is 3 years older than Jim.

Jim is 4 years less than twice David’s age.

Ages of three boys add up to 35.

Question asked:

How old are the three boys?

Solution:

Let age of David = $y$

Let age of Jim = $x$

Then age of John will be = $x + 3$

As Jim is 4 years less than twice David’s age

Equation will be , $x = 2y - 4$

Multiplying both side by 2

= $2x = 4y - 8$ (let equation 1 )

As ages of three boys add up to 35.

Equation will be, $x + (x + 3) + y = 35$

= $2x + 3 + y = 35$

Subtracting both side by 3

= $2x + y = 32$

= $2x = - y + 32$ (let equation 2 )

subtracting equation 1 and 2,we get

= $2x = - y + 32$

= $2x = 4y - 8$

= $0 = - 5y + 40$

= $5y = 40$

dividing both side by 5

$= y = 8$ (David ages)

Then ( age of Jim) $x = 2y - 4$

$x = 2 \times8 - 4$

= $16 - 4$

= $12 years$

Then age of John will be, $x + 3$

$= 12 + 3$

= $15 years$

Thus, age of John = 15 years

Age of Jim = 12 years

Age of David = 8 years

7 0

3 years ago

Bedroom rent

ella [17]

Number 3 would be more like a 4 bedroom apartment

3 0

3 years ago

Read 2 more answers

Here are the monthly charges for Jo's mobile phone

Sindrei [870]

Jo's Mobile Plan:
Fixed monthly charge = £16
Monthly 150 free minutes, post that 13p (or £0.13) per minute,
Monthly 150 free texts, post that 15p (or £0.15) per text
Jo's mobile phone usage details:
170 minutes of calls
182 texts
Total Charges for Jo = Fixed Monthly Charge + Charges for Calls + Charges for Texts
⇒ Total Charges for Jo = 16 + (170-150) × 0.13 + (182-150) × 0.15
⇒ Total Charges for Jo = 16 + (20) × 0.13 + (32) × 0.15
⇒ Total Charges for Jo = 16 + 2.6 + 4.8
⇒ Total Charges for Jo = 23.4
Hence, Jo should be charged £23.4 for the month.

Hope this helps !

8 0

3 years ago

The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.

ludmilkaskok [199]

Answer:

The value for x in this question is 34.

6 0

3 years ago