If a tree diagram were drawn to determine the number of possible outcomes when choosing one of 2 shirts, one of 7 ties , and one of 4 jackets, how many leaves would that be?

Number of leaves = 56   

Step-by-step explanation:

Number of shirts to be chosen = 2

Number of tie to be chosen = 7

Number of jackets to be chosen = 4

We need to find the number of leaves if a tree diagram is made by using the above given information.

When making a tree diagram :

Number of shirts chosen = 2

⇒ Number of leaves = 2

Now, choosing one of 7 ties

⇒ Number of leaves = 2 × 7

Then choosing one of 4 jackets

⇒ Number of leaves = ( 2 × 7 ) × 4

Therefore, Total number of leaves in the tree diagram = ( 2 × 7 ) × 4

                                                                                           = 56

Thus, Number of leaves = 56

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!