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Phoenix [80]
3 years ago
12

How much larger is the area of the rectangle than the

Mathematics
1 answer:
lana [24]3 years ago
5 0

Answer:

The area of the rectangle is 8 cm 2. 1. Find the area and perimeter of a rectangle with a length of 6 cm and a breadth of 4 cm. 2. A square table cloth has a side of 5 m.

Step-by-step explanation:

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Margaret wants to cover a footrest in the shape of a rectangular prism with cotton fabric. The footrest is 18 in. 12 in. 10 in.
user100 [1]

Answer:

No, she cannot completely cover the footrest.

Step-by-step explanation:

First of all, we need to find the total surface area of the prism to be covered using the cotton cloth

the total surface area of the prism is

A = 2wl + 2lh + 2hw,

l is the length of the prism = 18 in,

w= width of the prism = 12 in,

h is the height of the prism = 10 in

hence A = 2(12 \times 18 ) + 2(18 \times 10) + 2(10 \times 12)=1032in^{2}

We need to convert the area of the fabric to be in the same unit as that of the prism

Area of cotton fabric = 1 yd^{2}= 1296 in ^{2}

since the surface area of the foot rest is more than the area of fabric she has, she cannot completely cover the footrest

6 0
3 years ago
Read 2 more answers
PLEASE HELP IT"S DUE IN 20 MINS!!!
BlackZzzverrR [31]

Answer:

the available molding is not enough the molding is 1 inch shorter

Step-by-step explanation:

convert 13 feet into inches then add the 9 inches

7 0
3 years ago
Amanda's gross annual salary is $62,112 what is the maximum amount of rent she can afford to pay
abruzzese [7]
Answer is 1866 dollars
7 0
3 years ago
A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 17 randomly selected pens yield
Leno4ka [110]

Answer:

0.762 = 76.2% probability that this shipment is accepted

Step-by-step explanation:

For each pen, there are only two possible outcomes. Either it is defective, or it is not. The probability of a pen being defective is independent from other pens. 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.

17 randomly selected pens

This means that n = 17

(a) Find the probability that this shipment is accepted if 10% of the total shipment is defective. (Use 3 decimal places.)

This is P(X \leq 2) when p = 0.1. So

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

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

P(X = 0) = C_{17,0}.(0.1)^{0}.(0.9)^{17} = 0.167

P(X = 1) = C_{17,1}.(0.1)^{1}.(0.9)^{16} = 0.315

P(X = 2) = C_{17,2}.(0.1)^{2}.(0.9)^{15} = 0.280

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.167 + 0.315 + 0.280 = 0.762

0.762 = 76.2% probability that this shipment is accepted

8 0
4 years ago
The sum of four consecutive
Firdavs [7]

Answer:

42 is the smallest of the 4 numbers.

Step-by-step explanation:

The 4 consecutive integers that total 174 are 42,43,44, and 45. Therefore, 42 is the smallest out of all 4 integers.

4 0
3 years ago
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