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3 years ago

Which inference can be made from the data in the two-way table?

Mathematics

1 answer:

irina [24]3 years ago

6 0

Answer:

1). being above 180 centimeters and having black hair are independent of each other

Step-by-step explanation:

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Pool measuring 10 ft by 20 feet will have a cement walkway around it. The area covered by the pool and the cement walkway is 600

ki77a [65]

Answer:the width of the walkway is 5 feet

Step-by-step explanation:

Let x represent the width of the walkway.

The pool measures 10 ft by 20. If the walkway must have a uniform width around the entire pool, then the total length of the pool and the walkway would be 10 + x + x = 10 + 2x

The total width of the pool and the walkway would be 20 + x + x = 10 + 2x

The area covered by the pool and the cement walkway is 600 square feet. This means that

(10 + 2x)(20 + 2x) = 600

200 + 20x + 40x + 4x^2 = 600

4x^2 + 60x + 200 - 600 = 0

4x^2 + 60x - 400 = 0

Dividing through by 4, it becomes

x^2 + 15x - 100 = 0

x^2 + 20x - 5x - 100 = 0

x(x + 20) - 5(x + 20) = 0

(x - 5)(x + 20) = 0

x = 5 or x = - 20

The width cannot be negative. Therefore, the width of the walkway is 5 feet

8 0

3 years ago

A cell of some bacteria divides into two cells every 10 minutes.The initial population is 3 bacteria. (a) Find the size of the p

mars1129 [50]

Answer:

(a) $P_{t}=3(2)^{6t}$

(b) $3(2)^{42}$

Step-by-step explanation:

A cell of some bacteria divides itself into 2 cells in every 10 minutes and initial population of the bacteria was 3.

That means sequence formed will be 3, 6, 12, 24............

We can easily say that this sequence is a geometric sequence having common ratio (r) = $\frac{T_{2}}{T_{1}}=\frac{6}{3}$

r = 2

Now we know the explicit formula of a geometric sequence is given by

$P_{t}=P_{0}(r)^{\frac{60t}{10}}=P_{0}(r)^{6t}$

Where a = Initial population = 3 bacteria

r = common ratio = 2

and t = time in hours

So explicit formula will be $P_{t}=3(2)^{6t}$

(a) Now we have to calculate the size of population after t hours

$P_{t}=3(2)^{6t}$

(b) We have to find the size of population after 7 hours or 420 minutes

$P_{t}=3(2)^{6\times7}$

= $3(2)^{42}$

After 7 hours bacteria population will be $3(2)^{42}$

By the explicit formula

$21=3(2)^{6t}$

$2^{6t}=\frac{21}{3}=7$

Now we take log on both the sides of the equation

$log(2^{6t})=log(7)$

6t log2 = log 7

6t(0.301) = 0.845

t(1.806) = 0.845

t = $\frac{0.845}{1.806}=0.468$ hours

Or t = 0.468×60 = 28.07 minutes

Therefore, after 28.07 minutes bacterial population will be 21

5 0

3 years ago

Ali writes the expression "half of the sum of $9$ and a number." Write an algebraic expression that is equivalent to Ali's expre

HACTEHA [7]

Answer:

1 ÷ 2(9 + x)

4.5 + 0.5x

Step-by-step explanation:

Given that

We write the expression i.e. half of the sum of $9 and a number

Here we need to write the two expression that is different from each other

So,

Let us assume the number be x.

Now The first equation depend on the information given will be:

= 1 ÷ 2(9 + x)

And, The second equation is

= (9 + x) ÷ 2

= 4.5 + 0.5x

8 0

3 years ago

Which relationships describe angles 1 and 2? <br><br> Select each correct answer.

Svet_ta [14]

Answer:

vertical angle

Step-by-step explanation:

hope this helps a little

4 0

3 years ago

Read 2 more answers

What is 29.75 yards in yards, feet, and inches?

mojhsa [17]

Answer:

the answer is d. work is pictured

6 0

3 years ago

Read 2 more answers