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3 years ago

Can you help me solve 5(5a +3) = 14a - 29

Mathematics

2 answers:

belka [17]3 years ago

7 0

5(5a+3)=14a-29
5(5a)+5(3)=14a-29
25a+15=14a-29
-14a -14a
11a+15=-29
-15 -15
11a=-44
11a/11=-44/11
a=-4

Doss [256]3 years ago

4 0

5(5a+3)=14a-29 -- expand brackets
25a+15=14a-29 -- subtract 15 and subtract 14a from both sides
11a=-44 -- divide by 11

a=-4

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4) The yellow submarine was at sea level when the passengers boarded. The journey began with a descent of 40 meters. After exami

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Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

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3 years ago

The time required for an automotive center to complete an oil change service on an automobile approximately follows a normal di

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Answer:

a) Therefore 92.64% of customers receive the service for half-price.

b) Therefore it would take 8.52 minutes

Step-by-step explanation:

Given that ime required for an automotive center to complete an oil change service on an automobile approximately follows a normal distribution with:

mean (μ) = 15 minutes

Standard deviation (σ) = 3.5 minutes

a) The z score is given by the equation:

$z=\frac{x-\mu}{\sigma}$

Since the service will take no longer than 20 minutes,

$z=\frac{x-\mu}{\sigma}=\frac{20-15}{3.5} = 1.43$

Using the probability table to get the probability of the z score

percent of customers receive the service for half-price = P(X < 20) = P(z < 1.43) = 0.9236 = 92.64%

Therefore 92.64% of customers receive the service for half-price.

b) Since the probability is 3% = 0.03, this corresponds with a z score of -1.88

Therefore:

$z=\frac{x-\mu}{\sigma}=\frac{x-15}{3.5} =-1.88$

$\frac{x-15}{3.5} =-1.88$

${x-15} =-6.58\\x=-6.58+15=8.52\\x=8.52 minutes$

Therefore it would take 8.52 minutes

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