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3 years ago

2/3 x - 1/5x = x - 1

Mathematics

1 answer:

Novay_Z [31]3 years ago

5 0

Answer:

10/15x-3/15x=x-1

7/15x=x-1

x=7/15x+1

8/15x=1

x=15/8

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The mean height of 10 girls is 154cm. The mean height of 8 boys is 162cm. What is the mean height of the class?

olganol [36]

Answer:

158cm

Step-by-step explanation:

154+162=316

316/2=158

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3 years ago

Find the center and radius of the sphere whose equation is given by x2+y2+z2−2x−4y+8z+17=0x2+y2+z2−2x−4y+8z+17=0.

Vedmedyk [2.9K]

We know that
the equation of a sphere is
(x-h)²+(y-k)²+(z-l)²=r²
where (h,k,l) is the center and r is the radius

we have
x²+y²+z²<span>−2x−4y+8z+17=0
</span>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x²+2x)+(y²-4y)+(z²+8z)=-17
<span>Complete the square. Remember to balance the equation by adding the same constants to each side
</span>(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=-17+1+4+16
(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=4

Rewrite as perfect squares

(x+1)²+(y-2²)+(z+4)²=4

(x+1)²+(y-2²)+(z+4)²=2²

the center is the point (-1,2,-4) and the radius is 2 units

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3 years ago

A large company made $6,439,583 last year . what in the value of the 9 in $6,439,583?

Mama L [17]

The value of 9 is 9,000 it’s in the Thousands place

8 0

3 years ago

Read 2 more answers

A parking lot contains 100 cars , k of which happen to be lemons. we select m of these cars

Sunny_sXe [5.5K]

Given that a parking lot contains 100 cars, k of which happen to be lemons.

This is a conditional probability question.

Let event A be that a car is tested and event B be that a car is lemon.

The probability that a car is lemon is given by $\frac{k}{100}$

The probability that a car is tested is given by $\frac{m}{100}$

The probability that a car is lemon and it is tested is given by $\frac{n}{m}$

For a conditional probability, the probablility of event A given event B is given by:

$P(A|B)= \frac{P(A\cap B)}{P(B)}$

Therefore, the probability that a car is lemon, given that it is tested is given by.

$P(lemon|tested)= \frac{P(lemon\, and\, tested)}{P(tested)} \\ \\ = \frac{ \frac{n}{m} }{ \frac{m}{100} } = \frac{n}{m} \times \frac{100}{m} = \frac{100n}{m^2}$

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3 years ago

it says " convert the following to the units given in brackets" I don't know what they mean and I really need help..

Vlad1618 [11]

It means to convert 3liters to mL

400g to kg

And so as the following

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3 years ago