1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Naddik [55]
2 years ago
6

Simplify the expression -3 + 1/3 x + (-4.5) - 1/5x

Mathematics
2 answers:
Mashcka [7]2 years ago
8 0

Answer:

2/15x-7.5

Step-by-step explanation:

-3+1/3x-4.5-1/5x = 2/15x-7.5

WITCHER [35]2 years ago
6 0

Answer:

Step-by-step explanation:

-3 +\dfrac{1}{3}x - 4.5 -\dfrac{1}{5}x\\\\\\= -3 - 4.5 +\dfrac{1}{3}x - \dfrac{1}{5}x\\\\\\= - 7.5 + \dfrac{1*5}{3*5}x - \dfrac{1*3}{5*3}x\\\\\\= -7.5 +\dfrac{5}{15}x-\dfrac{3}{15}x\\\\\\= -7.5 + \dfrac{5-3}{15}x\\\\\\= -7.5 +\dfrac{2}{15}x

You might be interested in
What is the slope of the line? *20 points* I NEED IT NOW .
stealth61 [152]
3/5 is the slope, all you have to do is rise over run from one solid point to another solid point and simplify if you have to
5 0
3 years ago
. upper left chamber is enlarged, the risk of heart problems is increased. The paper "Left Atrial Size Increases with Body Mass
Sonbull [250]

Answer:

Part 1

(a) 0.28434

(b) 0.43441

(c) 29.9 mm

Part 2

(a) 0.97722

Step-by-step explanation:

There are two questions here. We'll break them into two.

Part 1.

This is a normal distribution problem healthy children having the size of their left atrial diameters normally distributed with

Mean = μ = 26.4 mm

Standard deviation = σ = 4.2 mm

a) proportion of healthy children have left atrial diameters less than 24 mm

P(x < 24)

We first normalize/standardize 24 mm

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (24 - 26.4)/4.2 = -0.57

The required probability

P(x < 24) = P(z < -0.57)

We'll use data from the normal probability table for these probabilities

P(x < 24) = P(z < -0.57) = 0.28434

b) proportion of healthy children have left atrial diameters between 25 and 30 mm

P(25 < x < 30)

We first normalize/standardize 25 mm and 30 mm

For 25 mm

z = (x - μ)/σ = (25 - 26.4)/4.2 = -0.33

For 30 mm

z = (x - μ)/σ = (30 - 26.4)/4.2 = 0.86

The required probability

P(25 < x < 30) = P(-0.33 < z < 0.86)

We'll use data from the normal probability table for these probabilities

P(25 < x < 30) = P(-0.33 < z < 0.86)

= P(z < 0.86) - P(z < -0.33)

= 0.80511 - 0.37070 = 0.43441

c) For healthy children, what is the value for which only about 20% have a larger left atrial diameter.

Let the value be x' and its z-score be z'

P(x > x') = P(z > z') = 20% = 0.20

P(z > z') = 1 - P(z ≤ z') = 0.20

P(z ≤ z') = 0.80

Using normal distribution tables

z' = 0.842

z' = (x' - μ)/σ

0.842 = (x' - 26.4)/4.2

x' = 29.9364 = 29.9 mm

Part 2

Population mean = μ = 65 mm

Population Standard deviation = σ = 5 mm

The central limit theory explains that the sampling distribution extracted from this distribution will approximate a normal distribution with

Sample mean = Population mean

¯x = μₓ = μ = 65 mm

Standard deviation of the distribution of sample means = σₓ = (σ/√n)

where n = Sample size = 100

σₓ = (5/√100) = 0.5 mm

So, probability that the sample mean distance ¯x for these 100 will be between 64 and 67 mm = P(64 < x < 67)

We first normalize/standardize 64 mm and 67 mm

For 64 mm

z = (x - μ)/σ = (64 - 65)/0.5 = -2.00

For 67 mm

z = (x - μ)/σ = (67 - 65)/0.5 = 4.00

The required probability

P(64 < x < 67) = P(-2.00 < z < 4.00)

We'll use data from the normal probability table for these probabilities

P(64 < x < 67) = P(-2.00 < z < 4.00)

= P(z < 4.00) - P(z < -2.00)

= 0.99997 - 0.02275 = 0.97722

Hope this Helps!!!

7 0
3 years ago
If R is the set of all integers with absolute value less than 10, A is its subset containing all natural numbers less than 10 an
Elza [17]

Answer:

See explanation

Step-by-step explanation:

1. R is the set of all integers with absolute value less than 10, thus

R=\{a\in \mathbb{Z}\ :\ |a|

2. A is its subset containing all natural numbers less than 10, thus

A\subset R\\ \\A=\{b\in \mathbb{N}\ :\ b

3. B is the set of all integer solutions of inequality 2x+5<9 that are less than 10 by absolute value (and therefore, it is also a subset of R). First, solve the inequality:

2x+5

Thus,

B\subset R\\ \\B=\{c\in \mathbb{Z}\ :\ 2c+5

See the diagram in attached diagram.

Note that

A\cup B=R\\ \\A\cap B=\{1\}.

4 0
3 years ago
Find the gcf of 200 and 72
Aleks04 [339]

To get the Greates Common Factor (GCF) of 72 and 200 we need to factor each value first and then we choose all the copies of factors and multiply them:

<span><span>72:   22233  </span><span>200:   222  55</span><span>GCF:   222    </span></span>

The Greatest Common Factor (GCF) is:   2 x 2 x 2 = 8

Answer: 8
3 0
3 years ago
Whatssssssssss uppppppppppppppp
Alex787 [66]

Answer:

как работать с ю так 87

Step-by-step explanation:

156

7 0
3 years ago
Read 2 more answers
Other questions:
  • A girl has 8 coins in dimes and quarters. Their value is $1.55. How many quarters does she have?
    13·2 answers
  • Five times a number ,subtracted from. Four is triple the number find the number
    13·1 answer
  • What is the base plan for the set if stacked cubes???plz help me im stuck and im in a hurry !!!!!
    15·2 answers
  • For the equation, 2x + 6 = 3x - 10, what is the solution
    15·1 answer
  • 4−6=−2−16−2<br> 4<br> k<br> -<br> 6<br> =<br> -<br> 2<br> k<br> -<br> 16<br> -<br> 2<br> for
    6·1 answer
  • Which expression best estimates 6 and three-fourths divided by 1 and two-thirds? 7 divided by 2 6 divided by 1 8 divided by 3 3
    13·2 answers
  • Igor Stravinsky Tires sells approximately 3,760,000 car tires and 1,200,000 truck tires each year. About 47,000,000 care tires a
    10·1 answer
  • HELP ME PLZ <br> m + 3 &gt;= 14 then complete the inequality m-6 &gt;
    7·1 answer
  • Which of the following is a correct way
    5·2 answers
  • The Teddy Bear Parade makes teddy bears. Their monthly fixed costs are $550. It costs $25 to make each bear and they sell for $5
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!