Need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Barry and Kerrie are discussing their pets

ss7ja [257]

Based on the statements provided, Barry will a have a Labrador, a Collie and a Staffie at home if he has at least one dog breed.

<h3>What is logical reasoning ?</h3>

Logical reasoning in mathematics is the process of using rational and critical thinking abilities to arrive at a conclusion about a problem.

Since Barry have at least one dog breed, the possible breeds of dogs that Barry have can be determined as follows:

Statement 1: If I have a Labrador but not a Staffie, I also have a Collie

Statement 2: I either have both a Collie and a Staffie or neither.

Statement 3: If I have a Collie, then I also have a Labrador.

From Statement 1, If Barry will have a Labrador and Collie if he doesn't have a Staffie.
From Statement 2, Barry will have both a Collie and a Staffie or he wont have either.
From Statement 3, Barry must have a Labrador if I he has a Collie.

Therefore, Barry will have a Labrador, a Collie and a Staffie at home if he has at least one dog breed.

Learn more about logical reasoning at: brainly.com/question/25175983

7 0

2 years ago

The random variable x represents the number of computers that families have along with the corresponding probabilities. Find the

Elena L [17]

Answer:

The correct option is (d).

Step-by-step explanation:

The complete question is:

The random variable x represents the number of computers that families have along with the corresponding probabilities. Use the probability distribution table below to find the mean and standard deviation for the random variable x.

x : 0 1 2 3 4

p (x) : 0.49 0.05 0.32 0.07 0.07

(a) The mean is 1.39 The standard deviation is 0.80

(b) The mean is 1.39 The standard deviation is 0.64

(c)The mean is 1.18 The standard deviation is 0.64

(d) The mean is 1.18 The standard deviation is 1.30

Solution:

The formula to compute the mean is:

$\text{Mean}=\sum x\cdot p(x)$

Compute the mean as follows:

$\text{Mean}=\sum x\cdot p(x)$

$=(0\times 0.49)+(1\times 0.05)+(2\times 0.32)+(3\times 0.07)+(4\times 0.07)\\\\=0+0.05+0.64+0.21+0.28\\\\=1.18$

The mean of the random variable x is 1.18.

The formula to compute variance is:

$\text{Variance}=E(X^{2})-[E(X)]^{2}$

Compute the value of E (X²) as follows:

$E(X^{2})=\sum x^{2}\cdot p(x)$

$=(0^{2}\times 0.49)+(1^{2}\times 0.05)+(2^{2}\times 0.32)+(3^{2}\times 0.07)+(4^{2}\times 0.07)\\\\=0+0.05+1.28+0.63+1.12\\\\=3.08$

Compute the variance as follows:

$\text{Variance}=E(X^{2})-[E(X)]^{2}$

$=3.08-(1.18)^{2}\\\\=1.6876$

Then the standard deviation is:

$\text{Standard deviation}=\sqrt{\text{Variance}}$

$=\sqrt{1.6876}\\\\=1.2990766\\\\\approx 1.30$

Thus, the mean and standard deviation for the random variable x are 1.18 and 1.30 respectively.

The correct option is (d).

3 0

3 years ago

Time Graphs<br> Which graph shows acceleration?

Furkat [3]

Answer:

#1

Step-by-step explanation:

5 0

3 years ago

Identify the coefficient in the expression 7y + 8.

Anit [1.1K]

Answer:

7

Step-by-step explanation:

hope this helps! :D

have a miraculous day, and brainliest is immensely appreciated!! <3

5 0

3 years ago

Read 2 more answers

The equation for Circle M is shown below. What is the area of Circle M in terms of π?

Paladinen [302]

Answer: (141/4)pi

This looks like it matches up with choice D

===================================================

Work Shown:

Let's complete the square for the x and y terms like so

4x^2 + 4y^2 - 40x + 24y - 5 = 0

4x^2 - 40x + 4y^2 + 24y = 5

4(x^2 - 10x + y^2 + 6y) = 5

x^2 - 10x + y^2 + 6y = 5/4

x^2 - 10x + 25 + y^2 + 6y = 5/4 + 25

(x^2 - 10x + 25) + y^2 + 6y = 5/4 + 100/4

(x-5)^2 + y^2 + 6y = 105/4

(x-5)^2 + y^2 + 6y + 9 = 105/4 + 9

(x-5)^2 + (y^2 + 6y + 9) = 105/4 + 36/4

(x-5)^2 + (y + 3)^2 = 141/4

The last equation is in the form (x-h)^2 + (y-k)^2 = r^2 where (h,k) = (5,-3) is the center and r^2 = 141/4 leads to r = sqrt(141)/2 which is the radius.

The area of the circle is therefore,

A = pi*r^2

A = pi*141/4

A = (141/4)pi

5 0

3 years ago