All categories

3 years ago

3 For h(x) = - 3(4)*, find h ( 2

Mathematics

1 answer:

Crank3 years ago

7 0

Answer:

h(2) = -48

Step-by-step explanation:

Given that,

$h(x)=-3(4)^x$

We need to find the value of h(2).

Put x = 2 in the given expression i.e.

$h(2)=-3(4)^2\\\\=-3\times 16\\\\=-48$

So, the value of h(2) is -48.

You might be interested in

Find the product. 7/10 X 3/6

tiny-mole [99]

7 . 3
--- × ------
10. . 6

= 21
--------
60

= 7/20

4 0

3 years ago

A. What is the probability that this couple spends 45 dollars or more?

guapka [62]

Using the probability table, it is found that:

a) There is a 0.25 = 25% probability that this couple spends 45 dollars or more.

b) The expected amount the couple actually has to pay is $36.85.

Item a:

To find the probabilities involving the total cost, we have to add the variables X and Y from the table, then:

$P(X = 30) = P(X = 15|Y = 15) = 0.2$

$P(X = 35) = P(X = 15|Y = 20) + P(X = 20|Y = 15) = 0.15 + 0.15 = 0.3$

$P(X = 40) = P(X = 15|Y = 25) + P(X = 20|Y = 20) + P(X = 25|Y = 15) = 0.05 + 0.15 + 0.05 = 0.25$

$P(X = 45) = P(X = 20|Y = 25) + P(X = 25|Y = 20) = 0.1 + 0.1 = 0.2$

$P(X = 50) = P(X = 25|Y = 25) = 0.05$

The probability involving values of 45 or more is:

$P(X \geq 45) = P(X = 45) + P(X = 50) = 0.2 + 0.05 = 0.25$

0.25 = 25% probability that this couple spends 45 dollars or more.

Item b:

For a discrete distribution, the expected value is the sum of each outcome multiplied by it's respective probability, hence, involving the 10% discount for prices above $45:

$E(X) = 0.2(30) + 0.3(35) + 0.25(40) + 0.9[0.2(45) + 0.05(50)] = 36.85$

The expected amount the couple actually has to pay is $36.85

A similar problem is given at brainly.com/question/25782059

8 0

2 years ago

the height, h cm, of a table is measured s 72cm correct to the nearest centimeters. conplete the following statement to show the

gogolik [260]

Anything between 71.5 and 72.499 recurring.

Hope this helps :)

6 0

3 years ago

Guys I’m scared to ask my dad for help cus he just helped me and the info went right out the window? Can someone help me? Ik the

N76 [4]

Answer:

14. -5√30 +3√2

15. 18√5 -30√3

Step-by-step explanation:

You can multiply radicals using ...

(√a)(√b) = √(ab)

And you can simplify radicals using ...

√(a²b) = a√b

_____

14. Using the distributive property, then simplifying the radicals, we have ...

$\sqrt{3}(-5\sqrt{10}+\sqrt{6})\\\\=-5\sqrt{3\cdot10}+\sqrt{3\cdot6}\\\\=-5\sqrt{30}+\sqrt{3^2\cdot2}\\\\=\boxed{-5\sqrt{30}+3\sqrt{2}}$

15. Similarly, ...

$-2\sqrt{15}(-3\sqrt{3}+3\sqrt{5})\\\\=6\sqrt{15\cdot3}-6\sqrt{15\cdot5}\\\\=6\sqrt{3^2\cdot5}-6\sqrt{5^2\cdot3}\\\\=\boxed{18\sqrt{5}-30\sqrt{3}}$

5 0

4 years ago

PLEASE HELP AGAIN DUE TONIGHT WILL GIVE BRAINLIST!!!

Volgvan

Answer:

-3072

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers