All categories

3 years ago

For what values of the variable does the following expression make sense:

1 answer:

3 0

This question revolves around the concept of domain (primarily) and range (secondarily). The domain of the square root function is [0, +infinity).

The domain of "three times the sqrt of a" shares that domain: [0, +infinity).

We were not asked to come up with the range, but if the range is wanted, it is

[0, +infinity).

You might be interested in

Does a mathematical expression have a solution?

bagirrra123 [75]

It does not contain an equal sign. It cannot be solved for unless the value of the variable is given.

7 0

3 years ago

5x−y=6 −2x+y=8 combining equations

adoni [48]

Answer:

Step-by-step explanation:

5x-y=6

2x+y=8

add them up

7x=14

divide by 7 to get x

x=2

fit it into both equation

y=4

5 0

2 years ago

Read 2 more answers

2.5% of a population are infected with a certain disease. There is a test for the disease, however the test is not completely ac

Aleks04 [339]

Answer:

$P(disease/positivetest) = 0.36116$

Step-by-step explanation:

This is a conditional probability exercise.

Let's name the events :

I : ''A person is infected''

NI : ''A person is not infected''

PT : ''The test is positive''

NT : ''The test is negative''

The conditional probability equation is :

Given two events A and B :

P(A/B) = P(A ∩ B) / P(B)

$P(B) >0$

P(A/B) is the probability of the event A given that the event B happened

P(A ∩ B) is the probability of the event (A ∩ B)

(A ∩ B) is the event where A and B happened at the same time

In the exercise :

$P(I)=0.025$

$P(NI)= 1-P(I)=1-0.025=0.975\\P(NI)=0.975$

$P(PT/I)=0.904\\P(PT/NI)=0.041$

We are looking for P(I/PT) :

P(I/PT)=P(I∩ PT)/ P(PT)

$P(PT/I)=0.904$

P(PT/I)=P(PT∩ I)/P(I)

0.904=P(PT∩ I)/0.025

P(PT∩ I)=0.904 x 0.025

P(PT∩ I) = 0.0226

P(PT/NI)=0.041

P(PT/NI)=P(PT∩ NI)/P(NI)

0.041=P(PT∩ NI)/0.975

P(PT∩ NI) = 0.041 x 0.975

P(PT∩ NI) = 0.039975

P(PT) = P(PT∩ I)+P(PT∩ NI)

P(PT)= 0.0226 + 0.039975

P(PT) = 0.062575

P(I/PT) = P(PT∩I)/P(PT)

$P(I/PT)=\frac{0.0226}{0.062575} \\P(I/PT)=0.36116$

8 0

3 years ago

The house numbers on the north side of Flynn Street are even. In one block, the house numbers begin 1022, 1032, 1042, and 1052.

never [62]

Answer:

6 houses away

Step-by-step explanation:

You can write down the house numbers and count them:

1032, 1042, 1052, 1062, 1072, 1082

1082 is the 6th house from where Taylor is.

___

You can also recognize that (1082 -1022)/10 = 60/10 = 6 is the number of houses away from the house at 1022.

4 0

3 years ago

Is a letter or symbol that represents the unknown value (term)

Lisa [10]

Variable

Step-by-step explanation:

6 0

3 years ago