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1 year ago

An emplovee at an animal shelter wrote

1 answer:

7 0

There is no way he can write a bi-conditional because there are only 2 g e n d e r s which are m a l e and f e-m a l e and as such he can't use if and only if due to the fact that all non - m a l e dogs are f e m a l e dogs and v i c e v e r s a.

<h3>What is a biconditional statement?</h3>

A biconditional statement is a statement combing a conditional statement with its converse. So, one conditional is true if and only if the other is true as well.

Now, he wrote a true conditional which is "If 47% of the dogs

at the shelter are f e m a l e, then 53% of the dogs are m a l e."

Now, there is no way he can write a biconditional because there are only 2 genders which are m a l e and f e m a l e and as such he can't use "if and only if" due to the fact that all non - m a l e dogs are f e m a l e dogs and vice versa.

Read more about biconditional statement at; brainly.com/question/17005663

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Wires manufactured for use in a computer system are specified to have resistances between 0.11 and 0.13 ohms. The actual measure

Marina CMI [18]

Answer:

a) $P(0.11$

And we can find this probability with this difference and with the normal standard table or excel:

$P(-1.11$

b) $P(0.11 < \bar X < 0.13)$

And we can use the z score defined by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And using the limits we got:

$z = \frac{0.11-0.12}{\frac{0.009}{\sqrt{4}}}= -2.22$

$z = \frac{0.13-0.12}{\frac{0.009}{\sqrt{4}}}= 2.22$

And we want to find this probability:

$P(-2.22< Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the resitances of a population, and for this case we know the distribution for X is given by:

$X \sim N(0.12,0.009)$

Where $\mu=0.12$ and $\sigma=0.009$

We are interested on this probability

$P(0.11$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

$P(0.11$

And we can find this probability with this difference and with the normal standard table or excel:

$P(-1.11$

Part b

We select a sample size of n =4. And since the distribution for X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And we want this probability:

$P(0.11 < \bar X < 0.13)$

And we can use the z score defined by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And using the limits we got:

$z = \frac{0.11-0.12}{\frac{0.009}{\sqrt{4}}}= -2.22$

$z = \frac{0.13-0.12}{\frac{0.009}{\sqrt{4}}}= 2.22$

And we want to find this probability:

$P(-2.22< Z$

4 0

3 years ago

Read 2 more answers

Please answer the following questions: <br><br> 1. 1/2*8=<br> 2. 1/4*4=<br> 3. 1/3*6=

yan [13]

Hey there!

When we multiply fractions and whole numbers, we simply take that whole number and put it over them, and just multiply across. That gives us:

$\frac{1}{2}x*8 = \frac{8}{2} = 4$

Notice how it's four, because when we have a fraction, we divide. 8 divided by 2 equals four. Next:

$\frac{1}{4} *4 = \frac{4}{4} = 1$

4/4 is equal to 1 because 4 divided by 4 is one. 4 goes into 4 once. Next, we have:

$\frac{1}{3}*6 = \frac{6}{3} = 2$

That's because 6/3 = 2.

Hope this helps!

7 0

3 years ago

Read 2 more answers

An art studio purchased a triangular plot of land in a town and constructed a new building whose base is in the shape of a right

Vinvika [58]

Answer:

The sides are 30 ft, 40 ft and 50 ft.

Step-by-step explanation:

The length of the triangle are as follows x - 4 , x + 6 and 2x - 18 . The hypotenuse should be 2x - 18 . The hypotenuse is the longest side of a right angle triangle.

Using Pythagoras theorem the length of the sides can be found.

a² + b² = c²

(x - 4)² + (x + 6)² = (2x - 18)²

(x - 4)(x - 4) + (x + 6)(x + 6) = (2x - 18)(2x - 18)

x²- 4x - 4x + 16 + x² + 6x + 6x + 36 = 4x² - 36x - 36x + 324

2x² - 8x + 12x + 16 + 36 = 4x² - 72x + 324

2x² + 4x + 52 = 4x² - 72x + 324

2x² - 4x² + 4x + 72x + 52 - 324 = 0

-2x² + 76x - 272 = 0

2x² - 76x + 272 = 0

divide through by 2

x² - 38x + 136 = 0

find the number you can multiply to give you 136 and add to give you - 38. The number are - 34 and - 4.

x² - 4x - 34x + 136 = 0

x(x - 4) - 34(x - 4) = 0

(x - 4)(x - 34 ) = 0

x = 4 or 34

we can only use 34 since using 4 will result to negative number.

x - 4 = 34 - 4 = 30 ft

x + 6 = 34 + 6 = 40 ft

2x - 18 = 68 - 18 = 50 ft

6 0

3 years ago

Last question u would love if you could answer!

ycow [4]

Answer:

it is a triangles because the other are the name of the triangle.

Step-by-step explanation:

7 0

3 years ago

I need help this question?

Masja [62]

Answer:

Correct answer: F. graph F or x ∈ |-5 ; 5| (including endpoints)

Step-by-step explanation:

Let us first define the absolute value:

| x | = 1. { x with condition x ≥ 0 }

or 2. { - x with condition x < 0 }

This is a linear inequality

1. x ≤ 5 ∧ x ≥ 0 ⇒ 0 ≤ x ≤ 5 or interval x ∈ |0 ; 5| (including endpoints)

2. - x ≤ 5 when we multiply both sides of the equation by -1 we get:

x ≥ -5 ∧ x < 0 ⇒ -5 ≤ x < 0 or interval x ∈ |-5 ; 0) (including -5)

The solution to this linear inequality is the union of these two intervals:

x ∈ |-5 ; 0) ∪ |0 ; 5| ⇒ x ∈ |-5 ; 5| (including endpoints)

x ∈ |-5 ; 5| (including endpoints)

God is with you!!!

7 0

3 years ago