What is the interquartile range of this set of data? 15, 19, 20, 25, 31, 38, 41.

The function f(x) = { x + 1 is used to complete this Which statements are true of the given function? Check all that apply. tabl

Dmitry [639]

Answer:

Options (1) and (5)

Step-by-step explanation:

Expression that defines the function is,

$f(x)=\frac{1}{2}x+\frac{3}{2}$

Option 1

$f(-\frac{1}{2})=\frac{1}{2}(-\frac{1}{2})+\frac{3}{2}$

$=-\frac{1}{4}+\frac{3}{2}$

$=-\frac{1}{4}+1+\frac{1}{2}$

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

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

So, $f(-\frac{1}{2} )=-2$ is false.

Option 2

f(0) = $\frac{1}{2}(0)+\frac{3}{2}$

= $\frac{3}{2}$

True.

Option 3

f(1) = $\frac{1}{2}(1)+\frac{3}{2}$

= $\frac{3+1}{2}$

= 2

Therefore, f(1) = -1 is false.

Option 4

$f(2)=\frac{1}{2}(2)+\frac{3}{2}$

$=1+1+\frac{1}{2}$

$=2\frac{1}{2}$

Therefore, f(2) = 1 is false.

Option 5

f(4) $=\frac{1}{2}(4)+\frac{3}{2}$

$=2+\frac{3}{2}$

$=\frac{4+3}{2}$

$=\frac{7}{2}$

True.

Options (1) and (5) are the correct options.

5 0

3 years ago

Which one doesn't belong?<br> Graph

suter [353]

Where is the graph I need to see the graph for the answer

6 0

3 years ago

When a bakery opened this morning the ratio of pineapple muffins to the number of mango muffins was 3:2. After 144 pineapple muf

Elena L [17]

$3x-\ pineapple\\
2x-\ mango\\\\
after\ selling\ 144\ pineapple:\\
3y-\ pineapple\\
5y-\ mango\\\\
3x-144=3y\ \ | add\ 144\\
2x=5y\\\\
3x=3y+144\ \ \ | divide\ by\ 3\\
2x=5y\\\\
x=y+48\\2x=5y\\\\
2(y+48)=5y\\
2y+96=5y\ \ \ | subtract\ 2y\\
96=3y\ \ \ | divide\ by\ 3\\
32=y\\
x=32+48=80\\\\
There\ were\ 240\ pineapple\ muffins.
$

6 0

3 years ago

Help!!!!!!! solve the inequality

taurus [48]

Answer:

25≥ w

i dont have the inquality sign

Step-by-step explanation:

multiply both sides by 5/4

4 0

3 years ago

In the theory of learning, the rate at which a subject is memorized is assumed to be proportional to the amount that is left to

babymother [125]

Answer:

dA/dt = k1(M-A) - k2(A)

Step-by-step explanation:

If M denote the total amount of the subject and A is the amount memorized, the amount that is left to be memorized is (M-A)

Then, we can write the sentence "the rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized" as:

Rate Memorized = k1(M-A)

Where k1 is the constant of proportionality for the rate at which material is memorized.

At the same way, we can write the sentence: "the rate at which material is forgotten is proportional to the amount memorized" as:

Rate forgotten = k2(A)

Where k2 is the constant of proportionality for the rate at which material is forgotten.

Finally, the differential equation for the amount A(t) is equal to:

dA/dt = Rate Memorized - Rate Forgotten

dA/dt = k1(M-A) - k2(A)

7 0

3 years ago