What is the answer to 4*3/5=

dalvyx [7]

7.281 too the nearest one i think it would be 7

7 0

3 years ago

Lee is a teacher at a local high school who wanted to assess whether or not dogs physically resemble their owners enough for peo

frozen [14]

Answer:

The decision rule is

Reject the null hypothesis

The conclusion is

There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing

Step-by-step explanation:

From the question we are told that

The sample size is n = 16

The population proportion = 0.5

The number that of students that picked out the teachers dog is k = 14

Generally the sample proportion is mathematically represented as

$\^ p =\frac{k}{n}$

=> $\^ p =\frac{14}{16}$

=> $\^ p = 0.875$

The null hypothesis is $H_o : p = 0.5$

The null hypothesis is $H_o : p > 0.5$

Generally the test statistics is mathematically represented as

$z = \frac{\^ p - p }{\sqrt{ \frac{p(1- p )}{n} } }$

$z = \frac{0.875 - 0.50 }{\sqrt{ \frac{0.50 (1- 0.50 )}{16} } }$

$z = 3$

Generally the p-value is mathematically represented as

$p-value = P(Z > 3)$

From the z table the probability of Z>3 is mathematically represented as

$P(Z > 3) = 0.0013499$

So

$p-value = 0.0013499$

Let assume the level of significance is $\alpha = 0. 05$

Generally from the value obtained we see that $p-value < \alpha$ Hence

The decision rule is

Reject the null hypothesis

The conclusion is

There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing

3 0

4 years ago

Determine whether or not f is a conservative vector field. if it is, find a function f such that f = ∇f. if it is not, enter non

Leto [7]

The given field is
$f(x,y) = (y \ e^{x} + sin(y) \hat{i} + (e^{x}+x \, cosy) \hat{j}$

Note that if the field is of the form
$\vec{f} = P\hat{i} + Q\hat{j}$
then the condition for the field to be conservative is that
$\frac{\partial P}{\partial y} = \frac{\partial Q}{\partial x}$

For the given field,
$\frac{\partial P}{\partial y} =e^{x} + cos y \\ \frac{\partial Q}{\partial x} = e^{x}+cosy$

Because the condition is satisfied, the given field is conservative.
To find the function that satisfies
$f= \bigtriangledown f$

$f(x,y) = \int P(x,y)dx = ye^{x} + x\, siny + g(y)$
Because $\frac{\partial P}{\partial y} = \frac{\partial Q}{\partial x}$ , therefore
$\frac{\partial f}{\partial y} =e^{x} + x \, siny + g'(y)$
Because $\frac{\partial f}{\partial y} =Q = e^{x} + x \, cosy$
therefore
g'(y) = 0
g = c (constant).

Answer:
(a) The given function is conservative.
(b) The function is
$f(x,y) = ye^{x} + x \, siny + c$
where c = constant.

6 0

4 years ago

What is PLATO?<br> People keep saying it but I don't know what it is.

Montano1993 [528]

Are you talking about the person?

3 0

3 years ago

Read 2 more answers

Please, i need help on this. I don't understand.

hoa [83]

Add them up and divide by 180

6 0

3 years ago