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Firlakuza [10]
3 years ago
14

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Mathematics
1 answer:
alexira [117]3 years ago
8 0

Answer:

Volume of prism is 60 cm^3.

Step-by-step explanation:

The volume of prism can be found using formula:

V= B*h

Where B= base area and h= height.

In the question, we are given Base area B= 10cm^2 and height h= 6cm.

Putting values in the formula:

V= B8h

V= 10* 6

V = 60 cm^3

So, volume of prism is 60 cm^3.

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If the length,l, of the yard is 18 feet longer than the width ,w, of the yard, what is the area of the yard , in square yard
Advocard [28]

Answer:  The area is w^{2} + 18w

Step-by-step explanation:

We could represent the length of the yard by  l = w+18    and the width as w .

And to find the area we will have to multiply  the length by the width.

A=  w(w+18 )    multiply

A= w^{2} + 18w

8 0
4 years ago
Read 2 more answers
Staci is attending a music festival. The ticket to the festival costs $87.96 . Staci plans to purchase $30.00 t-shirts form the
d1i1m1o1n [39]

Answer:

3 t-shirts

Step-by-step explanation:

<u>Lets recap the information we will use from this problem:</u>

The ticket to the festival costs $87.96

T-shirts are $30.00

She is taking $200.00 to the festival

Now we can solve. First we will subtract the price of the ticket from the total amount of money she has.

$200.00 - $87.96 = $112.04

Now that she has payed for the ticket, we want to find out how many shirts she can buy with the remainder of her money. To find this, we will set up an equation like this:

(Amount of money left) ÷ (Cost of 1 t-shirt) = (How many t-shirts she can buy)

Insert your numbers: $112.04 ÷ $30.00 = 3.73466666667

Because she cant buy a fraction of a t-shirt, we ignore the decimals on the end of this number. Therefore, Staci can purchase 3 t-shirts.

5 0
3 years ago
One-Fourth of a number is 14. Find the number.
Sholpan [36]

Answer:

56

Step-by-step explanation:

Multiply 14 by 4

5 0
3 years ago
You and two friends got jobs at stores in the mall. You earn $117.60 for 14 hours of work. Ty earns $148.50 in 18hours. Kim earn
SpyIntel [72]
You  make $8.40 per hour         $117.60 divided by 14 = $8.40 per hour
Ty makes $8.25 per hour          $148.50 divided by 18 = $8.25 per hour
Kim makes $8.60 per hour        $137.60 divided by 16 = $8.60 per hour

Kim has the highest pay rate in dollars per hour 
3 0
4 years ago
The Census Bureau says that the 10 most common surnames in the United States are, in order, Smith, Johnson, Williams, Brown, Jon
olga_2 [115]

Answer:

0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common

Step-by-step explanation:

For each surname, there are only two possible outcomes. Either they are among the 10 most common, or they are not. Each author is independent of each other. So we use the binomial probability distribution to solve this question.

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.

These names account for 9.6% of all U.S. residents.

This means that p = 0.096

8 authors in total.

This means that n = 8

What is the probability that none of the 8 surnames of these authors were among the 10 most common

This is P(X = 0). So

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

P(X = 0) = C_{8,0}.(0.096)^{0}.(0.904)^{8} = 0.4460

0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common

3 0
3 years ago
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