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2 years ago

Find the area of the following figure: 12yd 8yd 4yd

Mathematics

1 answer:

dalvyx [7]2 years ago

4 0

Area of rectangle + Area of semi circle
12 * 4 + (22/7 * 4^2)/2
48 + 25.14
73.14 yard square

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Can anyone help out with these two questions?

nikitadnepr [17]

To find f(3), plug x = 3 in f(x),
∴ f(3) = 3(3)+1 = 9+1 = 10
Therefore, the ordered pair is (3,10)

For second one,
plug x = 10 in f⁻¹(x),

f⁻¹(10) = 10-1/3 = 9/3 = 3

Therefore, the ordered pair is (10,3)

5 0

2 years ago

Write your solution as an inequality: If 3

inysia [295]

Answer:

Step-by-step explanation:

if the inequality is 3, it will be 3

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2 years ago

An electric bill in May was $112.00. In June, the bill was $163.00. What is the percent of increase, rounded to the nearest tent

laila [671]

Answer:

d. 45.5%

Step-by-step explanation:

7 0

3 years ago

A commonly used unit of mass in the English system is the pound-mass, abbreviated lbm, where 1 lbm = 0.454 kg. What is the densi

Rashid [163]

<h2>Density of ethyl alcohol is 56.25 lbm/ft³ </h2>

Step-by-step explanation:

We have 1 lbm = 0.454 kg

1 kg = 2.203 lbm

1 m = 3.28 ft

Density of ethyl alcohol = 9.01 x 10² kg/m³

$\texttt{Density = }\frac{9.01\times 10^2\times 2.203}{3.28^3}=56.25lbm/ft^3$

Density of ethyl alcohol = 56.25 lbm/ft³

3 0

2 years ago

Customers arrive at a grocery store at an average of 2.1 per minute. Assume that the number of arrivals in a minute follows the

Black_prince [1.1K]

Answer:

a) P(2)=0.270

b) P(X>3)=0.605

c) P=0.410

Step-by-step explanation:

We know that customers arrive at a grocery store at an average of 2.1 per minute. We use the Poisson distribution:

$\boxed{P(k)=\frac{\lambda^k \cdot e^{-\lambda}}{k!}}$

a) In this case: $\lambda=2.1$

$P(2)=\frac{2.1^2 \cdot e^{-2.1}}{2}\\\\P(2)=0.270$

Therefore, the probability is P(2)=0.270.

b) In this case: $\lambda=2\cdot 2.1=4.2$

$P(X>3)=1-P(X\leq 3)\\\\P(X>3)=1-\sum_{x=0}^3 \frac{4.2^x \cdot e^{-4.2}}{x!}\\\\P(X>3)=1-0.395\\\\P(X>3)=0.605$

Therefore, the probability is P(X>3)=0.605.

c) We know that two customers came in in the first minute. That is why we calculate the probability of at least 5 customers entering the other 2 minutes.

In this case: $\lambda=2\cdot 2.1=4.2$

$P(X\geq 5)=1-P(X$

Therefore, the probability is P=0.410.

4 0

3 years ago