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3 years ago

A standard six-sided die is thrown. What is the probability that the number that comes up is less than or equal to 4?

Mathematics

1 answer:

Sindrei [870]3 years ago

8 0

Answer:

the answer is 0.67

Step-by-step explanation:

the numbers that are less than or equal to 4 are 1, 2, 3 and 4 which are 4 in number.

The probability will be 4/6 which is 2/3 which is 0.67

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The Gilbert's are designing a rectangular patio. The patio has an area of 432 square feet. The width of the patio is 3/4 it's le

ankoles [38]

Represent the unknowns.
Let x = length 
since the width is 3/4 of the length, 
Let (3/4)x = width 

Recall that the area of rectangle is just width multiplied by the length, 
A = w * l 
Substituting, 
432 = (3/4)x * x 
432 = (3/4)x^2 
432 * 4/3 = x^2 
576 = x^2 
Get the square root of both sides, 
x = 24 feet (length)

4 0

3 years ago

- Which fractions are equivalent to 6/8?

natima [27]

Answer:

3/4,

12/16,

18/24,

24/32

30/40

...So on, So on...

Step-by-step explanation:

Any fraction that you multiply by the same number on the bottom and on top.

So, multiply by two, what you do to the top do to the bottom. = 12/16

Multiply by three = 18/24

So on, so on.

Or you can reduce, 6/8 divide by 2 = 3/4.

I'm gonna give you 5 equivalent equations. I also taught you how to do it!

7 0

3 years ago

For 1983 through 1989, the per capita consumption of chicken in the u.S. Increased at a rate that was approximately linear. In 1

Volgvan

We have been given that in 1983, the per capita consumption was 39.7 pounds, and in 1989 it was 47 pounds.

Let us assume t=0 corresponds to year 1980.

Hence, we can express the given information as ordered pairs as (3,39.7) and (9,47).

We can to find a linear function passing through these points. Let us first find slope of the linear function:

$m=\frac{y_{2}-y_{1} }{t_{2}-t_{1}} =\frac{47-39.7}{9-3} =\frac{7.3}{6} =\frac{73}{60}$

We can write the required linear function as:

$y-39.7=\frac{73}{60}(t-3)$

Upon simplifying this, we get:

$y=\frac{73}{60}t+\frac{721}{20}$

In order to find per capita consumption in 1995, we need to substitute t=15 in this function.

$y=\frac{73}{60}(15)+\frac{721}{20}=54.3$

Therefore, we would expect the per capita consumption of chicken in 1995 to be 54.3.

3 0

4 years ago

⦁ Determine if the equation represents a direct variation. .8x = 1.6y ⦁ Suppose y varies directly with x. Write a direction vari

Mkey [24]

Part A:

Given that

$0.8x=1.6y\Rightarrow x= \frac{1.6}{0.8} y=2y$

Thus, x = ky where k = 2.

Therefore, the given equation is a direct variation.

Part B:

If y varies directly as x, then y = kx.

Given that y = 5 when x = 2, then

$5=2k \\ \\ \Rightarrow k=\frac{5}{2} =2.5 \\ \\ \Rightarrow y=2.5x$

When x = 12, y = 2.5(12) = 30.

Part C:

If y varies directly as x, then y = kx.

Given that y = 9 when x = -6, then

$9=-6k \\ \\ \Rightarrow k=-\frac{9}{6} =-\frac{3}{2} \\ \\ \Rightarrow y=-\frac{3}{2}x$

It can be seen that the equation above satisfies all the rows of the given table, therefore, y varies with x for the data in the question and the equation for the direct variation is $y=-\frac{3}{2}x$

Part 4:

If y varies directly as x, then y = kx.

Given that y = 1 when x = -2, then

$1=-2k \\ \\ \Rightarrow k=-\frac{1}{2} \\ \\ \Rightarrow y=-\frac{1}{2}x$

It can be seen that the equation above does not satisfies the other rows of the given table, therefore, y does not vary with x for the data in the question.

8 0

3 years ago

Read 2 more answers

Find the area of a rectangular playground which is 21 3/4 yards long and 14 5/6 yards wide

Leni [432]

Multiply the 2 mixed numbers to get your answer because area is length times with . I am not so sure but comment and tell me if you got it right or wrong.

3 0

3 years ago