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3 years ago

The sum of three consecutive even integers is 144.

2 answers:

8 0

If you divide 144 by three you get 48. Then when you subtract one from 48 you get 47. When you add one to 48 you get 49. So the three consecutive numbers are 47, 48, 49

scoray [572]3 years ago

4 0

The 3 consecutive even integers are n , n + 2 and n + 4 so
3n + 6 = 144
3n = 138
n = 46

the 3 numbers are 46, 48 and 50.

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Suppose that the weights of 5400 registered female Labrador retrievers in the United States are distributed normally with a mean

Maurinko [17]

Answer:

$N= 4543$ Labrador retrievers

Step-by-step explanation:

We know that the mean $\mu$ is:

$\mu = 62.5$

and the standard deviation $\sigma$ is:

$\sigma=2.5$

The probability that a randomly selected Labrador retriever weighs less than 65 pounds is:

$P(X$

We calculate the Z-score for X =65

$Z = \frac{X-\mu}{\sigma}\\\\Z =\frac{65-62.5}{65}=1$

$P(X$

Looking in the table for the standard normal distribution we have to:

$P(Z$ .

Finally the amount N of Labrador retrievers that weigh less than 65 pounds is:

$N = P(X$

$N = 0.8413*5400$

$N= 4543$ Labrador retrievers

6 0

3 years ago

A box has two balls, one white and one red. We select one ball, put it back in the box, and select a second ball (sampling with

AleksAgata [21]

Answer:

P (T) = 1/4

P ( T | F ) = 1/2 = P(F)

The events are not independent.

Step-by-step explanation:

Let F the event of picking the white ball first

P (F)= 1/2 ( picking the white ball first)

Let T be the event of getting the white ball twice,

P (T) = P( getting white ball) * P( getting white ball)

=( 1/2)*(1/2)

= 1/4

Here P(T∩F) = P(T) because the probability of getting the white balls is the same as probability of getting the white ball first both the times.

P ( T | F ) = P (T∩F)/ P(F)

= (1/4)/ (1/2)

= (1/2)

= 1/2 = P(F)

For the events to be independent the conditional probability P ( T | F ) must be equal to P(T).

Hence the events are not independent.

4 0

3 years ago

Triangle LMN is a right triangle. True or false

Lynna [10]

Answer:False

Step-by-step explanation:

5^2+13^2=14^2

25 +169=196

194 ≠ 196

They’re not equal meaning it’s not a right triangle. Sorry for my first answer. I was supposed to use the Pythagorean theorm

4 0

4 years ago

Read 2 more answers

Guys pls help me i have to write about angle on an A4 size paper

barxatty [35]

Answer:

90 degrees

Step-by-step explanation:

A corner of a A4 size paper forms the angle of 90°. Every corner of a A4 size paper forms the angle of 90°.

5 0

2 years ago

40°<br> (3x + 10)º<br><br> If anyone can help me on this it will be helpful

Igoryamba

Answer:

3x+10 = 2x+40

3x - 2x = +40 - 10

x = 30

Step-by-step explanation:

hope helps have a good day

7 0

3 years ago