If g(x)=2[x]-1, what is g(-2,3)? A)-7 B)-5 C)-4 D)-3

Use the Distributive property to solve the equations.

Zanzabum

Answer:

Follow the steps I did in the explanation.

Step-by-step explanation:

It says to evaluate the equation :-

3.2 = 4/5(b - 5)

3.2 = (4/5 × b) + (4/5 × -5)

3.2 = 4/5b - 4

3.2 + 4 = 4/5b

5/4 × 7.2 = b

9 = b

Hope this helps, thank you :) !!

7 0

3 years ago

Read 2 more answers

Sam watched television the past five nights for 42 minutes, 23 minutes, 56 minutes, 19 minutes, and 67 minutes. What was the med

guajiro [1.7K]

Answer:

42 minutes is the median amount of time

Step-by-step explanation:

The Median is the middle value of data set.

If there is "odd" number of numbers, and there are n numbers, the median is:

(n/2) + 1 th number

If there is "even" number of numbers, and there are n numbers, the median is:

Average of n/2th and (n/2) + 1 th number

Here, we have 5 numbers, so the median would be:

(5/2) + 1 th number

That is

3rd number

But, we need to arrange the numbers from least to greatest. Lets write it:

19, 23, 42, 56, 67

The third number is 42, this is the median

3 0

3 years ago

Can you work out 4/5 + 1/5?

puteri [66]

Answer:

=> 1

Step-by-step explanation:

4/5 + 1/5

=> 5/5

$\sf{}$

6 0

3 years ago

Read 2 more answers

Use the formula for the cosine of the difference of two angles to find the exact value of the following expression.

Zolol [24]

Answer:

Exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

Step-by-step explanation:

Given:

Cos(45° - 60°)

We have to apply the formula of cosine for difference of the two angles.

Formula:

$cos(a-b)=cos(a)\ cos(b)+sin(a)\ sin(b)$

Plugging the values.

⇒ $cos(45-60)=cos(45)\ cos(60) + sin(45)\ sin(60)$

We know that the values :

$sin(45) =cos(45) = \frac{1}{\sqrt{2} }$

$sin(60)=\frac{\sqrt{3} }{2}$ and $cos(60)=\frac{1}{2}$

So,

⇒ $cos(45-60)=(\frac{1}{\sqrt{2} } \times \frac{1}{2} ) + (\frac{1}{\sqrt{2} } \times \frac{\sqrt{3} }{2})$

⇒ $cos(45-60)=(\frac{1}{2\sqrt{2} } + \frac{\sqrt{3} }{2\sqrt{2} })$

⇒ $cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )$

⇒ $cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )\times \frac{2\sqrt{2} }{2\sqrt{2} }$ ...rationalizing

⇒ $cos(45-60)=\frac{2\sqrt{2} +2\sqrt{6} }{ 8}$

⇒ $cos(45-60)=\frac{2(\sqrt{2}+\sqrt{6})}{8}$ ...taking 2 as a common factor

⇒ $cos(45-60)=\frac{(\sqrt{2}+\sqrt{6})}{4}$

To find the exact values we have to put the values of sq-rt .

As, $\sqrt{2}=1.41$ and $\sqrt{6} =2.44$

Then

⇒ $cos(45-60)=\frac{( 1.41+2.44)}{4}$

⇒ $cos(45-60)=\frac{( 3.85)}{4}$

⇒ $cos(45-60)=0.96$

So the exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

3 0

3 years ago

In the United States, the mean age of men when they marry for the first time follows the normal distribution with a mean of 24.6

Sedbober [7]

Answer:

$z= \frac{25-24.6}{\frac{2.8}{\sqrt{66}}}=1.16$

So we want to find this probability:

$P(z$

And using the normal standard distirbution or excel we got:

$P(z$

Step-by-step explanation:

Let X the random variable that represent the age of men married of a population, and for this case we know the distribution for X is given by:

$X \sim N(24.6,2.8)$

Where $\mu=24.6$ and $\sigma=2.8$

We are interested on this probability

$P(\bar X$

The sample size is n =66. We can use the z score to solve this problem:

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

If we find the z score for 25 we got:

$z= \frac{25-24.6}{\frac{2.8}{\sqrt{66}}}=1.16$

So we want to find this probability:

$P(z$

And using the normal standard distirbution or excel we got:

$P(z$

5 0

3 years ago