Atray contains 12 ham sandwiches, 10 turkey sandwiches, and 8 peanut butter sandwiches. if carrie takes a sandwich from the tray at random, what is the probability that she takes a ham sandwich?

or 0.4

Step-by-step explanation:

Number of ham sandwiches=12

Number of turkey sandwiches=10

Number of peanut butter= 8

Total number of outcomes= 12+10+8

Total number of outcomes=30

Let E be the  event of getting a ham sandwich

Favorable case to E= 12

  Probability =

P(E)=

P(E)=

P(E)=0.4

Hence , the correct answer is or 0.4

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -