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3 years ago

Evaluate p/2 - 5 when p=14

Mathematics

2 answers:

Natalka [10]3 years ago

6 0

Answer:

Step-by-step explanation:

14/2-5=

7-5=

Yanka [14]3 years ago

3 0

P/2-5
14/2-5
7-5
2
Answer is 2

You might be interested in

Identify the equation of the parent function y=x^3 that is horizontally streched by a factor of 1/5 and reflected over the y axi

choli [55]

Answer:

$y=\frac{-x^{3}}{125}$

Step-by-step explanation:

As we know that,

<em>'Horizontal stretch, stretches the function left or right on the x-axis'. </em>

The general form of horizontal stretch is given by 'f(kx)', where 0<k<1 is the factor by which function is stretched horizontally.

Since, the function $y=x^{3}$ which is stretched by a factor of $\frac{1}{5}$ .

The new function is $y=(\frac{x}{5})^{3}$ i.e. $y=\frac{x^{3}}{125}$ .

<em>Further, the function is reflected over y-axis.</em>

That is, the reflected function is $y=\frac{(-x)^{3}}{125}$ i.e. $y=\frac{-x^{3}}{125}$ .

Hence, the required function is $y=\frac{-x^{3}}{125}$ .

7 0

2 years ago

Neporo4naja [7]

The probability that a single can will contain 11.6 ounces or less of soda is 0.2843

<h3>Probability that a can contains 11.6 ounces or less</h3>

The given parameters are:

x = 11.6

Mean = 12

Standard deviation = 0.7

Calculate the z value using:

$z = \frac{x - \bar x}{\sigma}$

This gives

$z = \frac{11.6-12}{0.7}$

z = -0.57

The probability is then calculated as:

P(x ≤ 11.6) = P(z ≤ -0.57)

Using the z table of probabilities, we have:

P(x ≤ 11.6) = 0.2843

<h3>Probability that a pack contains 11.6 ounces or less</h3>

In (a), the probability that a can contains 11.6 ounces or less is 0.2843

The probability that all cans in a pack contains 11.6 ounces or less is

P(6) = 0.2843^6

P(6) = 0.00053

<h3>Probability that a case contains 11.6 ounces or less</h3>

In (a), the probability that a can contains 11.6 ounces or less is 0.2843

The probability that all cans in a case contains 11.6 ounces or less is

P(36) = 0.2843^36

P(36) ≈ 0

<h3>Draw three normal distributions</h3>

See attachment for the normal distributions

<h3>The happening on the graph</h3>

The summary of the graph is that, as the sample size increases the probability decreases