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stepladder [879]
2 years ago
14

Using the nutritional labels of three different

Mathematics
1 answer:
Inessa [10]2 years ago
4 0
<h2>Answer:</h2><h2>The nutritional label (also referred as Nutrition Facts) gives detailed information about a food's nutrition content: the amount of fat, proteins,calories...</h2>

<h3>Nutrition fact help us to make healthy food choices.</h3><h3>1. Proteins are build from amino acids and contribute energy (calories) to the body). Protein should account for 10-35% of your daily calorie intake. </h3><h3>2. Carbohydrates are the main source of energy of the body. Carbohydrates should account 45-65 % of your daily calorie intake. </h3><h3>3. Calories are units to measure energy. The amount of daily calories needed depends on gender, age,height, way of life...</h3><h3>According to this, the percents in the Nutritional labels point how much from your total daily needs the specific food is.</h3>
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The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions
s344n2d4d5 [400]

Two expressions each represent the sale price of the item are:

Expression B : 0.8p is correct

Expression D: p - 0.2p is correct

<em><u>Solution:</u></em>

The regular price of an item at a store is p dollars

The item is on sale for 20% off the regular price

Therefore,

Regular price = p dollars

Discount = 20 % of regular price

Therefore,

Discount = 20 % of p

discount = 20 \% \times p\\\\discount = \frac{20}{100} \times p = 0.2 \times p\\\\discount = 0.2p

Sale price = Regular price - discount price

Sale price = p - 0.2p

Thus Expression D: p - 0.2p is correct

On solving, sale price = p - 0.2p

Sale price = 0.8p

Thus expression B : 0.8p is correct

3 0
3 years ago
John is creating a Thanksgiving display at the store where he works, using only canned pumpkin and canned green beans. He needs
alukav5142 [94]
This is a part:part ratio. to solve it we need to convert it into a part:whole ratio. we do this by adding the parts. the ratio of pumpkin cans to total cans is 5:7. 140/7=20. 20x5=100. 20x2=40. The answer is B. 40 cans.
5 0
3 years ago
Simpson deposits $1,200 in a savings account that earns simple interest at the rate of 5% per year. What interest does he earn a
Vesnalui [34]

Answer:

1,260

Step-by-step explanation:

5 0
3 years ago
1. A triangular swimming pool is an isosceles triangle in shape. The two
Nady [450]

Answer:

Side a = 35ft

Side b = 35ft

Side c = 20ft

Step-by-step explanation:

The formula for the perimeter of a triangle = Side a + Side b + Side c

In an isosceles triangle, 2 sides are equal to each other.

So, Side a = Side b

In the question, we are told that:

The two equal sides are each 5 ft less than twice the length of the third side.

Hence,

a = 2c - 5

b = 2c - 5

P = 90ft

P = a + b + c

90 = 2c - 5 + 2c - 5 + c

Collect like terms

90 = 5c - 10

90 + 10 = 5c

100 = 5c

c = 100/5

c = 20

The length of the third side = 20ft

a = 2c - 5

= 2 × 20 - 5

= 40 - 5

= 35 ft

b =2c - 5

= 2 × 20 - 5

= 40 - 5

= 35 ft

Therefore,

Side a = 35ft

Side b = 35ft

Side c = 20ft

3 0
3 years ago
20 points Return to questionItem 4Item 4 20 points Police records in the town of Saratoga show that 13 percent of the drivers st
Sladkaya [172]

Answer:

a) 0.1423

b) 0.2977

c) 0.56

Step-by-step explanation:

For each driver stopped for speeding, there are only two possible outcomes. Either they have invalid licenses, or they do not. The probability of a driver having an invalid license is independent from other drivers. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

13 percent of the drivers stopped for speeding have invalid licenses.

This means that p = 0.13

14 drivers are stopped

This means that n = 14

(a) None will have an invalid license.

This is P(X = 0)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{14,0}.(0.13)^{0}.(0.87)^{14} = 0.1423

(b) Exactly one will have an invalid license.

This is P(X = 1)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{14,1}.(0.13)^{1}.(0.87)^{13} = 0.2977

(c) At least 2 will have invalid licenses.

Either less than 2 have invalid licenses, or at least 2 does. The sum of the probabilities of these events is decimal 1. Mathematically, this is

P(X < 2) + P(X \geq 2) = 1

We want P(X \geq 2)

So

P(X \geq 2) = 1 - P(X < 2)

In which

P(X < 2) = P(X = 0) + P(X = 1) = 0.1423 + 0.2977 = 0.44

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.44 = 0.56

8 0
3 years ago
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