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VMariaS [17]
3 years ago
12

What is the value of 2/5 ( 1/3 + 1/2)

Mathematics
2 answers:
liq [111]3 years ago
6 0

Answer: 2/5 (1/3 + 1/2) = 1/3 ≅ 0.3333333

Step-by-step explanation:

guajiro [1.7K]3 years ago
4 0

Answer:

1/3

Step-by-step explanation:

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The annual salaries of employees in a large company are approximately normally distributed with a mean of $50,000 and a standard
Lena [83]

Answer:

The probability of randomly selecting one employee who earned less than or equal to $45,000=0.00621

Step-by-step explanation:

We are given that

Mean,\mu=50000

Standard deviation,\sigma=2000

We have to find the probability of randomly selecting one employee who earned less than or equal to $45,000.

P(x\leq 45000)=P(\frac{x-\mu}{\sigma}\leq \frac{45000-50000}{2000})

P(x\leq 45000)=P(Z\leq-\frac{5000}{2000})

P(x\leq 45000)=P(Z\leq -2.5)

P(x\leq 45000)=0.00621

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3 years ago
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Step-by-step explanation:

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3 years ago
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What is the volume of the right triangular prism shown?
ollegr [7]

<u>Given</u>:

The sides of the base of the triangle are 8, 15 and 17.

The height of the prism is 15 units.

We need to determine the volume of the right triangular prism.

<u>Area of the base of the triangle:</u>

The area of the base of the triangle can be determined using the Heron's formula.

S=\frac{a+b+c}{2}

Substituting a = 8, b = 15 and c = 17. Thus, we have;

S=\frac{8+15+17}{2}

S=\frac{40}{2}=20

Using Heron's formula, we have;

Area = \sqrt{S(S-a)(S-b)(S-c)}

Area = \sqrt{20(20-8)(20-15)(20-17)}

Area = \sqrt{20(12)(5)(3)}

Area = \sqrt{3600}

Area = 36

Thus, the area of the base of the right triangular prism is 36 square units.

<u>Volume of the right triangular prism:</u>

The volume of the right triangular prism can be determined using the formula,

V=\frac{1}{2}A_b h

where A_b is the area of the base of the prism and h is the height of the prism.

Substituting the values, we have;

V=\frac{1}{2}(60\times 15)

V=450

Thus, the volume of the right triangular prism is 450 cubic units.

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3 years ago
Help me pls pls pls
Gennadij [26K]

Answer:

f. is the answer

Step-by-step explanation:

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