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netineya [11]
2 years ago
13

Identify the equivalent expression -4(b+2) - 3b

Mathematics
1 answer:
Romashka-Z-Leto [24]2 years ago
8 0

Answer:

-7b - 8

Step-by-step explanation:

-4(b + 2) - 3b < distribute -4 into b +2

-4b - 8 - 3b < combine like terms

-4b - 3b = -7b

-7b - 8 is our solution

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Simplify the expression. 5(x + 10) + x​
Free_Kalibri [48]

Answer:

6x+50

Step-by-step explanation:

we need to distribute the 5 first

5x+50+x

then

6x+50

5 0
3 years ago
Read 2 more answers
. 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
Tim buys a torch and battery the torch costs 11 times as much as the battery Tim pays with a ?10 note and he gets ?4.84 change h
KengaRu [80]

The cost of 1 battery is 0.43

Step-by-step explanation:

Let the cost of 1 battery be x

We are given that the torch costs 11 times as much as the battery

Cost of torch = 11x

Total cost of 1 battery and torch = 11x+x=12x

Tim pays $10

He receives change of $4.84

Total cost of 1 torch and battery = 10 - 4.84 =$5.16

So,12x= 5.16

x= \frac{5.16}{12}

x=0.43

Hence the cost of 1 battery is 0.43

6 0
3 years ago
Systems By Graphing - Solve All Correctly For a Thanks, 5-Stars, And A Brianliest!
BartSMP [9]

Answer:

Step-by-step explanation:

Amari= Graph C and Solution is (-6,-2)

Bella= Graph A and Solution is (3,4)

Carl= Graph B and Solution is (0,-3)

0 solutions because the slopes are the same. The lines will never cross because they are at the exact same angle.

No, I do not agree with Joey because the lines have different slopes and will lead to the system cross which is the solution.

1st graph: y=2x-1 and y=7 solution #1= (4,7)

2nd graph: y=-2x-3 and y=1/2x solution #2= (-2,1)

3rd graph: y=x and y= -1/5+6 solution #3= (5,5)

I had this exact same assignment a few months ago, my teacher didn't use the 2nd slide but I had the 1st and 3rd slide so this should help!

4 0
2 years ago
24 is 40% of what number?
Murrr4er [49]
24=\frac{40}{100}*x \\ x=24*\frac{5}{2}=60
24 is 40% of 60.
5 0
3 years ago
Read 2 more answers
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