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Anettt [7]
3 years ago
12

Randi has a party-sized sandwich that is 3/4 yard long. She will cut it into smaller sandwiches that are each 1/12 yard long. Wh

ich expression can be used to determine the number of smaller sandwiches Randi can cut
Mathematics
1 answer:
Elena L [17]3 years ago
3 0

Answer:

The expression for number of sandwiches is n=\frac{3}{4}\div\frac{1}{12}

9 small sandwiches can be made.

Step-by-step explanation:

Given:

Length of party-sized sandwich (l) = 3/4 yard

Length of each small sandwich (s) = 1/12 yard

Now, let the total number of small sandwiches be 'n'.

Now, sum of all the lengths of small sandwiches will be equal to the length of the party-sized sandwiches.

Therefore, framing in equation form, we have:

Length of large sandwich = Length of small sandwich × Total number of small sandwiches.

l=s\times n\\\\n=\dfrac{l}{s}

Now, plug in the given values and solve for 'n'. This gives,

n=\frac{3}{4}\div \frac{1}{12}\\\\n=\frac{3}{4}\times \frac{12}{1}\\\\n=\frac{36}{4}=9

Therefore, 9 small sandwiches can be made.

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Jack wants to share his candy with friends. Right now he has 4 1/3 pieces of chocolate. How many friends can he give 1/2 a candy
cricket20 [7]

Answer:

8 Friends

Step-by-step explanation:

First convert 4 1/3 to a mixed fraction

4 1/3 --> 13/3

Then divide by 1/2 to find how many friends per 1/2 candy bar with 13/3 candy bars

(13/3)/(1/2)

=(13*2)/(3*1)

=26/3

8.66667

Since you can't have 0.66667 of a person you get 8 friends to give candy to

3 0
3 years ago
A manufacturer of computer printers purchases plastic ink cartridges from a vendor. When a large shipment is received, a random
g100num [7]

Answer:

97.4% probability

Step-by-step explanation:

Since there is only two possible outcome of inspecting the catridge : either defective or not, we can solve the problem using the binomial probability distribution (approximated to normal).

To approximate the binomial probability to normal, we find the expected value and the standard deviation of the probability of exactly x sucesses on n repeated trials with p probability

Expected values E(X) = np

Standard deviation √V(X) = √np(1-p)

using the z-score formula (X - μ)/σ, we can solve normally distributed problem.

Where μ is the mean and σ is the standard deviation. The Z-score is is the measure of how much a sample is from the mean. The p-value associated with this z-score which is the probability that the value of the measure is smaller than X can be checked on the z-score table.

FOR THIS QUESTION,

a random sample of 200 cartridges is selected

n = 200

Therefore If there are more than 0.02 × 200 = 4 defective, the sample will be returned.

To determine the approximate probability that a shipment will be returned if the true proportion of defective cartridges in the shipment is 0.05

μ = E(X)

= 0.05 × 200 = 10

σ = √V(X) = √np(1-p)

= √200 × 0.05 × 0.95

= 3.08

This probability is 1 subtracted by the pvalue of Z when X =4

Z = (X - μ)/σ

Z= (4 - 10)/3.08

Z = -1.95

Z = -1.95 has a P-value of 0.026 (on the z-score table)

This means that there is a 1 - 0.026 = 0.974

= 97.4% probability that a shipment will be returned if the true proportion of defective cartridges in the shipment is 0.05.

6 0
3 years ago
the cost of fencing a rectangular field at rupees 30 per metre is rupees 2400 if the length of the its field is 24m than its bre
prohojiy [21]

Answer:

breadth = 8, length = 32

Step-by-step explanation:

perimeter = 2 x (length x breadth)

                = 2 x ((24 + b) + b))

                = 2 x (24 + 2b)

                = 48 + 4 b

48 + 4b meters costs rupees 2400

each meter costs rupees 30

so,

30 x (48 + 4b) = 2400

1440 + 120b    = 2400

           120b    = 960

                 b    = 8

the breadth is 8m, the length is 8 + 24 = 32m

3 0
3 years ago
In a stack of boards at a lumber yard, the 20th board counting from the top of the stack is immediately below the 16th board cou
Novosadov [1.4K]

Answer:

C

Step-by-step explanation:

6 0
3 years ago
What is heavier 6 liter or 2 kg
ASHA 777 [7]

Answer:

6

Step-by-step explanation:

6 0
3 years ago
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