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loris [4]
3 years ago
13

Every day, Katie looks for seashells on the beach. She has 28 shells in her collection. Katie finds 12 more shells each day. Wri

te an inequality to determine the number of days, ddd, it will take Katie to collect over 100 shells. Identify which graph represents the solution set to this inequality.
Mathematics
1 answer:
Kisachek [45]3 years ago
7 0
12x + 28 > 100
First, you subtract 28 from 100 then divide that by 12 which would give you 6. so, X>6
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A manufacturing process makes rods that vary slightly in length but follow a normal distribution with mean length 25 cm and stan
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Answer:

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22)  = 0.1251

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given mean of the Population = 25cm

Given standard deviation of the Population = 2.60

Let 'x' be the random variable in normal distribution

Given x=22

Z = \frac{x-mean }{S.D} = \frac{22-25}{2.60} = -1.15

<u><em>Step(ii):</em></u>-

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22) = P( Z<-1.15)

             = 1-P(Z>1.15)

             =  1-( 0.5+A(1.15)

             =  0.5 - A(1.15)

             = 0.5 - 0.3749

             = 0.1251

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22)  = 0.1251

7 0
3 years ago
Mrs. Chan buys a new car for $21,000. She pays a sales tax of $0.06 for every $1. She pays a property tax of $16.80 on every $1,
lianna [129]

Answer:

$1612.80

Step-by-step explanation:

<u>Sales Tax</u> would be 0.06 * 21,000 = $1260

<u>Property Tax:</u>

16.80 for every 1000, so how many "1000"s are there in 21,000? Simple, 21 of them.

So the property tax would be 16.80 * 21 = $352.80

Hence, total taxes (for the year) = 1260 + 352.80 = $1612.80

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3 years ago
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At a family reunion, a family friend brings 20 pounds of ice and 30 cups. Which expression shows the greatest common factor, usi
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The expression for the greatest common factor of 20 and 30 using the distributive property is 10(2 + 3)

Pounds of ice = 20

Number of cups = 30

The relation for the distributive property :

a × (b + c)

Expand ;

a × (b + c) = (a × b) + (a × c) = ab + ac

Finding the greatest common factor of 20 and 30 ;

  • 20 = 2 × 10

  • 30 = 3 × 10

(2 × 10) + (3 × 10)

According to the distributive property

(2 × 10) + (3 × 10) = 10(2 + 3)

Therefore, the expression for the greatest common factor is 10(2 + 3)

Learn more :brainly.com/question/15263211

6 0
3 years ago
Who is the digest animal in the world ​
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Answer:

hope it helps...

Step-by-step explanation:

Antarctic blue whale

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