What is a equation for two-thirds a number plus 4 is 7

Categorical Data is data that is sorted into categories on the basis of qualitative details.

Bumek [7]

Answer:

true

Step-by-step explanation:

"In statistics, a categorical variable is a variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property." - Wikipedia...

4 0

3 years ago

A person can do a job in 6 days. Another can do the same job in 4 days. If they work together, how long do they need to finish t

NeX [460]

Answer:

2.4 days

Step-by-step explanation:

Time working together,t ,is

1/t = 1/a+ 1/b where a and b is the times working alone

1/t = 1/4 + 1/6

Multiply each side by 12t to clear the fractions

12t( 1/t )= 12t(1/4 + 1/6)

12 = 3t+2t

12 = 5t

Divide by 5

12/5 = 5t/5

2 2/5 =t

2.4 days

7 0

4 years ago

Read 2 more answers

Suppose a movie starts at 5:00 p.m. and Lindsay, a customer who is always late, arrives at the movie theater at a random time be

Arte-miy333 [17]

Answer:

a) We know that the distribution for X is given by: $X \sim Unif (a=10, b=45)$

The density function for this distirbution is given by:

$f(x) = \frac{1}{b-a}= \frac{1}{45-10}= \frac{1}{35} , 10 \leq X \leq 45$

So then the height of the uniform density curve would be given by:

$h = \frac{1}{35}= 0.029$

b) For this case we want to calculate the following probability:

$P(X\leq 20)$

And we can use the cumulative distribution function given by:

$F(X) =\frac{x-a}{b-a}=\frac{x-10}{35} , 10 \leq X \leq 45$

And we can calculate the probability like this:

$P(X \leq 20) = F(20) = \frac{20-10}{35}=0.286$

Step-by-step explanation:

For this case we define our random variable X="Lindsay's late arrival time, in minutes"

Part a

We know that the distribution for X is given by: $X \sim Unif (a=10, b=45)$

The density function for this distirbution is given by:

$f(x) = \frac{1}{b-a}= \frac{1}{45-10}= \frac{1}{35} , 10 \leq X \leq 45$

So then the height of the uniform density curve would be given by:

$h = \frac{1}{35}= 0.029$

Part b

For this case we want to calculate the following probability:

$P(X\leq 20)$

And we can use the cumulative distribution function given by:

$F(X) =\frac{x-a}{b-a}=\frac{x-10}{35} , 10 \leq X \leq 45$

And we can calculate the probability like this:

$P(X \leq 20) = F(20) = \frac{20-10}{35}=0.286$

7 0

4 years ago

Change 0.150 to a fraction.

Svetlanka [38]

Step-by-step explanation:

150/1000 and then you you have to simplify it

4 0

3 years ago

Read 2 more answers

I need help with these two trigonometry problems.

Ymorist [56]

Answer:

Step-by-step explanation:

For 5 we need to use sine law.

The thing about sine law is that we need to look at the triangle sides that are in front of the angles.

In this case: <B = 30°

the triangle side that is in front of this angle is AC which is 4 cm.

Then we got <C = 61°, and the triangle side in front of it is AB, which is what we need to find.

According to sine law:

$\frac{sin B}{AC} = \frac{sin C}{AB}$

$\frac{sin 30}{4} = \frac{sin 61}{AB}$

Notice that you need to be consistent. If you start writing that the angle is in the numerator, it needs to be in the numerator on the other side of the equation.

Solving it would give us:

(AB )(sin 30) = (sin 61)(4)

AB = 6.9969 cm

to the nearest tenth it's 7.0 cm

Question 6:

Wow it's pretty crowded, but they probably want us to use sine law as well. Let's write what we know:

<C = 12°

<B = 107°

AB = 21 yd

AC = ?

Apply it to the formula: sin(angle) / the triangle side in front of it.

$\frac{sin 12}{21} = \frac{sin 107}{AC}\\$

(sin 107)(21) = (sin 12)(AC)

AC = 96.59

to the nearest tenth AC = 96.6 yd

8 0

2 years ago