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almond37 [142]
3 years ago
9

A rectangular piece of metal is 10 inches wide and 14 inches long. a. What is the perimeter? ___________________ b. What is the

area? ___________________
Mathematics
2 answers:
KengaRu [80]3 years ago
8 0

Answer:

The perimeter is 48.

The area is 140.

Step-by-step explanation:

The formula for finding the perimeter of a rectangle is  P = (L + W) × 2.

The formula for finding the area of a rectangle is L x W.

vlabodo [156]3 years ago
4 0

Answer: The perimeter is 48 inches. The area is 140

Step-by-step explanation:

Since we have the length and width, we know the formula of perimeter is L+L+W+W. So 10+10+14+14= 48 The formula of area is LxW so 14 x 10= 140

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Solve for c : <br> 6/13=3/c
nexus9112 [7]
Cross mutiply and the answer would be 13/2 or 6.5
7 0
3 years ago
PLEASE PLEASE HELP ANYONE I NEED HELP
Maurinko [17]

Answer:

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8 0
3 years ago
The time intervals between successive barges passing a certain point on a busy waterway have an exponential distribution with me
lisov135 [29]

Answer:

a) <u>0.4647</u>

b) <u>24.6 secs</u>

Step-by-step explanation:

Let T be interval between two successive barges

t(t) = λe^λt where t > 0

The mean of the exponential

E(T) = 1/λ

E(T) = 8

1/λ = 8

λ = 1/8

∴ t(t) = 1/8×e^-t/8   [ t > 0]

Now the probability we need

p[T<5] = ₀∫⁵ t(t) dt

=₀∫⁵ 1/8×e^-t/8 dt

= 1/8 ₀∫⁵ e^-t/8 dt

= 1/8 [ (e^-t/8) / -1/8 ]₀⁵

= - [ e^-t/8]₀⁵

= - [ e^-5/8 - 1 ]

= 1 - e^-5/8 = <u>0.4647</u>

Therefore the probability that the time interval between two successive barges is less than 5 minutes is <u>0.4647</u>

<u></u>

b)

Now we find t such that;

p[T>t] = 0.95

so

t_∫¹⁰ t(x) dx = 0.95

t_∫¹⁰ 1/8×e^-x/8 = 0.95

1/8 t_∫¹⁰ e^-x/8 dx = 0.95

1/8 [( e^-x/8 ) / - 1/8 ]¹⁰_t  = 0.95

- [ e^-x/8]¹⁰_t = 0.96

- [ 0 - e^-t/8 ] = 0.95

e^-t/8 = 0.95

take log of both sides

log (e^-t/8) = log (0.95)

-t/8 = In(0.95)

-t/8 = -0.0513

t = 8 × 0.0513

t = 0.4104 (min)

so we convert to seconds

t = 0.4104 × 60

t = <u>24.6 secs</u>

Therefore the time interval t such that we can be 95% sure that the time interval between two successive barges will be greater than t is <u>24.6 secs</u>

6 0
3 years ago
What is the value of the underlined digit in 207 underlined digit 7
ladessa [460]

Answer:

Its just 7

Step-by-step explanation:

Count the places. 200+7=207

3 0
3 years ago
Someone help and please make sure it’s right
prohojiy [21]

Answer:

4

Step-by-step explanation:

The three angles in a triangle measure 180°. So add the the 2 known angles 70° + 63° = 133. Then subtract it from 180° to get the unknown angle 180 - 133 = 47.

Now that we know the third angle is 47 we find which number that when multiplied by 11 and 3 is added to that number you get 47.

11×4+3 = 47

Therefore l, the answer is 4

6 0
3 years ago
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