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Phantasy [73]
2 years ago
14

Consider a uniform density curve defined from x = 0 to x = 8. What percent of observations fall between 1 and 5?

Mathematics
1 answer:
allsm [11]2 years ago
7 0

Answer:  0.50, which is choice b

Explanation:

The interval 1 \le x \le 5 covers 5-1 = 4 units in the horizontal direction.

This is out of 8 units that span from x = 0 to x = 8 (we could say 8-0 = 8).

So we get the final result of 4/8 = 0.50

In other words, the interval from x = 1 to x = 5 covers exactly half of the interval from x = 0 to x = 8.

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Can someone please help me with this please?
valina [46]

Step-by-step explanation:

Area of the rectangle = 9×6 = 54 m²

Area of the path is also 54 m²

so total area of the bigger rectangle is 54+54 = 108 m²

now the ratio of length to width is 9:6 or, 3:2

so, for 108 m²

(3x)(2x) = 108

6x²=108

x²=18

x=3√2

So length = 3x = 9√2 and width = 2x = 6√2

4 0
3 years ago
Which equation of an exponential function has a graph that passes through the points
Karolina [17]

Answer:

y = \frac{5}{3} (3^{x} )

Step-by-step explanation:

In general, y = k(b^{x})

Substitute x = 2, y = 15

(1)      15 = kb^{2}<u />

Substitute x = 1, y = 5

(2)      5 = kb^{1} = kb

Divide equation (1) by equation (2)

\frac{15 = kb^{2} }{5= kb }

3 = b

Now substitute b = 3 in equation (2) to find k

5 = k(3)

k = \frac{5}{3}

Since we know the values for k and b, we now have the exponential function that passes thru (1, 5) and (2, 15)

y = \frac{5}{3} (3^{x} )

8 0
3 years ago
A 2-column table with 7 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2, 3. The sec
oee [108]

The true statements about the function are:

  • f(x) ≤ 0 over the interval [0, 2].
  • f(x)>0 over the interval (-2,0)
  • f(x) ≥ 0 over the interval [2,∞)

<h3>How to determine the true statement?</h3>

The table of values is given as:

x     f(x)

-3    -15

-2     0

-1      3

0      0

1      -3

2      0

3      15

From the table, the function values do not exceed 0 at the interval 0 to 2.

This means that f(x) ≤ 0 over the interval [0, 2].

Also from the table, the function values exceeds 0 at the intervals greater than -2 but less than 0

This means that f(x)>0 over the interval (-2,0)

Also from the table, the function values are at least 0 at the intervals greater than 2

This means that f(x) ≥ 0 over the interval [2,∞)

Hence, the true statements are (b), (d) and (e)

Read more about functions at:

brainly.com/question/27831985

#SPJ1

5 0
1 year ago
The price of a necklace was increased by 20% to ?156. What was the price before the increase?
Verdich [7]

Answer:

31.2

Step-by-step explanation:

156 * .2 = 31.2

3 0
3 years ago
How much volume is in a globe
Varvara68 [4.7K]

Answer:

904.32

Step-by-step explanation:

I did the math

3 0
2 years ago
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