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NeX [460]
3 years ago
9

Mark each! Of the following equations as true or false. Explain or showing your reasoning!

Mathematics
1 answer:
Airida [17]3 years ago
8 0

Answer:

False

True

True

Step-by-step explanation:

Multiplying add exponents

Divide subtract exponents

Exponent multiply exponents

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6. What percentage of the children in class 5 is a member of a sports club? 3
Juliette [100K]

Answer:

75%

Step-by-step explanation:

Let x be the percentage for sports club members.

x% of 20 = 15

x/100 x 20 = 15

x/5 = 15

x = 75

5 0
3 years ago
abercrombie & Fitch is having a sale. The sign posted in the store says, "everything is marked down 65%." Scott buys a jacke
nikdorinn [45]

a) We have that the discount is 65 %

Scott buys a jacket for $150

First, we will calculate the discount

150\times\frac{65}{100}=97.5

then we need to subtract the quantity calculated above from the original price

150-97.5=52.5

After the markdown Scott paid $52.5

b.

In order to know the taxes first, we need to calculate the 5% of $52.5

52.5\times\frac{5}{100}=2.625

then we will sum the 5% plus the price after the markdown

52.5+2.625=55.125

The total cost of the jacket is $55.125

5 0
1 year ago
The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 mi
lara [203]

Answer:

a) 33.33%)

b) 135 minutes

c) 8.66 min

d) 50%

Step-by-step explanation:

a) the probability for a uniform distribution is

P(b<X<a) = (a-b)/(c-d) , where c and d are the maximum and minimum values

therefore the probability that the flight is more than 140 minutes ( and less than 150 since it is the maximum value)

P(140<X<150) = (a-b)/(c-d) = (150-140)/(150-120) = 10/30 = 1/3 (33.33%)

b) the mean (expected value) for a uniform probability distribution is

E(X) = (c+d)/2 = (120+150)/2 = 135 minutes

c)  the standard deviation for a uniform probability distribution is

σ²(X)= (c-d)²/12 = (150-120)²/12 = 75 min²

σ = √75 min² = 8.66 min

b) following the same procedure as in a)

P(120<X<135) = (a-b)/(c-d) = (135-120)/(150-120) = 15/30 = 1/2 (50%)

4 0
3 years ago
The length between the bases on a Major League Baseball diamond is 90 feet. Allyson wants to make a scale drawing of a baseball
Vinil7 [7]

Answer:

\text{The scale is }\frac{1}{432}

Step-by-step explanation:

Length between the bases on a major league diamond = 90 feet

1 feet = 12 inches

90 feet = 90 × 12

             = 1080 inches

Length between the bases on a major league baseball diamond on scale drawing = 2.5 inches

\text{Scale factor = }\frac{\text{Actual length}}{\text{Scale length}}\\\\\text{Scale factor = }\frac{1080}{2.5}=432

\text{Hence, the scale is }\frac{1}{432}

4 0
3 years ago
Every integer number is also a. Irrational number b. Whole number c. Natural number d. Rational number
const2013 [10]

Answer:

Option d

Step-by-step explanation:

Other options are not eligible because

a) Integers are not irrational

b)Whole numbers start from 0 and consists positive integers only.But integers consist negative integers also.

c)Natural number consists of positive integers only.

If the question had been asked as some integers are also, then options b) and c) could have been written . But in this case , it is asked every integer is also.

Thank you!

5 0
3 years ago
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