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3 years ago

11

You roll a six-sided number cube and flip a coin. What is the probability of rolling a number less than 3 and flipping tails? Wr

ite your answer as a fraction in simplest form.
- The probability is________

1 answer:

ipn [44]3 years ago

6 0

Answer:

1/6 i think

Step-by-step explanation:

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Function Notation - Function Machines

stepan [7]

The function notation of the following are:

f(1) = 5

f(0) = 1

f(-3) = -11

f(8) = 33

Given:

x is the input.

the function is 4x+1

f(x) is the output.

we are asked to determine the values of the following :

a. f(1)

x = 1

so f(x) = 4x+1

f(1) = 4(1)+1

f(1) = 4+1

f(1)=5

b. f(0)

x = 0

so f(x) = 4x+1

f(0) = 4(0)+1

f(0) = 0+1

f(0)=1

c. f(-3)

x = -3

so f(x) = 4x+1

f(-3) = 4(-3)+1

f(1) = -12+1

f(1)= -11

d. f(8)

x = 8

so f(x) = 4x+1

f(8) = 4(8)+1

f(8) = 32+1

f(1)=33

Hence we get the required values.

Learn more about Functions here:

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7 0

1 year ago

Help!!!!!!!!!!!! >>>>>Which number set contains all rational<br> numbers?

stellarik [79]

The only set that only has rational numbers is the first one:

{1/3, -3.45, √9}

<h3>Which of the given sets contains only rational numbers?</h3>

A rational number is a number that can be written as the quotient of two integers.

If we look at the first set, the elements are:

1/3 which is a rational number.
-3.45 = -345/100 which is a rational number
√9 = 3 = 3/1 which is a rational number.

In the other sets we can see elements like:

√37, √44, or √2 which are all irrational numbers, then the only correct option is the first one.

If you want to learn more about rational numbers:

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6 0

2 years ago

Malia is planting tomato and pepper plants in her garden each tomato plant t requires 6 square feet and each pepper plant p requ

MAVERICK [17]

Answer:

6 t + 4 p ≤ 150 is the required inequality.

Step-by-step explanation:

Here, the area required for 1 tomato plant = 6 sq ft

So, the area required to plant t tomato plants

= t x ( Area required by 1 tomato plant) = t x ( 6 sq ft) = 6 t

the area required for 1 pepper plant = 4 sq ft

So, the area required to plant p pepper plants

= p x ( Area required by 1 pepper plant) = p x ( 4 sq ft) = 4 p

Now, total area of the garden = 150 Sq ft.

Also, area of p pepper pants + t tomato plants = (6 t + 4 p) sq ft

So, now according to the question:

Total area of both plants ≤ Total area of the garden

⇒ (6 t + 4 p) sq ft ≤ 150 sq ft

or, 6 t + 4 p ≤ 150 is the required inequality.

5 0

3 years ago

This question is very important I will give Brainliest for the correct answer!! It's just perimeter but I'm a little confused.

Ipatiy [6.2K]

Answer: 24
Explanation: Width x Length is how you solve.

4 0

3 years ago

F(x)=x^3 −9x <br> What is the average rate of change of over the interval [1,6]?

Inga [223]

Answer:

34

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$

Here [ a, b ] = [ 1, 6 ], thus

f(b) = f(6) = 6³ - 9(6) = 216 - 54 = 162

f(a) = f(1) = 1³ - 9(1) = 1 - 9 = - 8

average rate of change = $\frac{162-(-8)}{6-1}$ = $\frac{170}{5}$ = 34

8 0

3 years ago