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seraphim [82]
2 years ago
5

A rectangular room, / m long and b m wide,

Mathematics
1 answer:
Rudiy272 years ago
7 0

The perimeter of the given rectangular room is found as -

Part a: p = 11 m.

Part b: p = 46 m.

<h3>Explain the term perimeter of rectangle?</h3>
  • A rectangle's perimeter (P) is the sum of the lengths of its four sides.
  • A rectangle has equal size lengths plus two equal widths since its opposite sides are equal.

As, given in the question-

The rectangular room has-

l m long and b m wide,

perimeter p, where p = 2l+2b  ...eq 1

Part a: perimeter of a room for, 3.5 m long and 2 m wide.

Put l = 3.5  and b = 2 in  eq 1.

p = 2l+2b

p = 2(3.5) +2(2)

p = 7 + 4

p = 11 m.

Part b: perimeter of a room for, 20 m long and 3 m wide.

Put l = 20  and b = 3 in  eq 1.

p = 2(20) +2(3)

p = 40 + 6

p = 46 m.

Thus, the perimeter of the given rectangular room is found as 46m.

To know more about the perimeter of rectangle, here

brainly.com/question/10452031

#SPJ1

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In this current scenario,
Probability of passing, p = 65% = 0.65
Then,
Probability of not passing, q = 1-p = 1-0.65 = 0.35

Part (a): When 15 people are tested
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This is 65% of the 15 people tested. That is,
Number of people expected to pass = 0.65*15 = 9.75. This is rounded downwards as upward rounding will violate the 65% criteria.
Therefore,
Number of people expected to pass = 9 people.

(ii) Probability that 11 people are expected to pass the test
p(x=11) = [15Cx]*p^x*q^(15-x) = [15C11]*0.65^11*0.35^(15-11) = 0.1792 ≈ 17.92%

Part (b): Teenager determined to pass the test no matter how many times

(i) Probability that he passes the test the third time
This means that he will fail the first and second time. That is,
Probability pf passing the third time = q*q*p = 0.35*0.35*0.65 = 0.079625 = 7.9625%

(ii) Number of trials it takes to pass
This is a case of mathematical expected, E, that it takes before first occurrence of success. Normally,
E = 1/p
Substituting;
E = 1/0.65 = 1.54 ≈ 2
Therefore, at least two trials will be required.
7 0
3 years ago
(x+ 1 3/7 )-4 3/7=-5.8
katrin2010 [14]

Answer:

x=-2.8

Step-by-step explanation:

This answer is right if all the numbers are mixed fractions.

6 0
3 years ago
Jade has $451.89 in her checking account. After 3 checks, each for the same amount, are deducted from her account, she has $358.
steposvetlana [31]

Answer:

3rd, 4th, and 5th options.

Step-by-step explanation:

The way this was formatted was a little weird, but the 3rd, 4th, and 5th options are correct I think.

If there was 358.92 left, it has to be divided 3 ways (after subtracting 451.89 - 358.92). So that means that 3c or c+c+c could be correct, as well as using dis. property to switch around the last one I guess.

if this helped, brainliest is appreciated.

4 0
4 years ago
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Paula has 24 stamps in her collection among her stamps 1/3 have pictures of animals out the her stamps with pictures of animals
fomenos

Answer:

First we need to find 1/3 of 24. When you see "of" replace it with "×".


1/3 of 24 =

1/3 × 24 =

24/ 3 = 8


So 8 stamps are animals. Now we find 3/4 of 8 to find out how many have birds.


3/4 of 8 =

3/4 × 8 =

24/4 = 6


6 have birds

Step-by-step explanation:

24/3 = 8 stamps with pictures of animals, 8 x 3/4 = 6 stamps with birds on them. If it helps 8 has a denominator of 1 so you just multiply the top and the bottom of the fractions. 8x3=24 and you divide that by 4x1

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3 years ago
Draw a two-card hand from a well-shuffled standard deck of cards. Given that the first card is a King, what is the chance the se
Leni [432]

Answer:

P ≈ 0,94

Step-by-step explanation:

The normal deck of cards consists of  52 cards, (with 4 kings )

If we take a king a deck will have 51 cards ( three kings )

The probability to get a non-king card is

Probability of non-king card (P)  = 1 - Probability of getting a king card (P₁)

Probability of getting a king card  P₁= 3/51 ≈ 0,059

Then P = 1 - 0,059

P ≈ 0,94

7 0
3 years ago
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