Ask question

Ask question

All categories

3 years ago

8

A line passes through point (3, 7) and has a slope of 3/4. the equation of the line is . if point a (x,5) lies on the line, the

value of x is .

1 answer:

kvv77 [185]3 years ago

5 0

7 = 3/4 (3) + c
28 = 9 + 4c
4c = - 19
c = - 19/4
y = 3/4x - 19/4

5 = 3/4x - 19/4
3/4x = 39/4
x = 13

You might be interested in

a bag contains eleven counters. five are white. a counter is taken out the bag and is not replaced. a second counter is taken ou

Fed [463]

Answer:

$\displaystyle P(A)=\frac{6}{11}$

Step-by-step explanation:

<u>Probabilities</u>

The question describes an event where two counters are taken out of a bag that originally contains 11 counters, 5 of which are white.

Let's call W to the event of picking a white counter in any of the two extractions, and N when the counter is not white. The sample space of the random experience is

$\Omega=\{WW,WN,NW,NN\}$

We are required to compute the probability that only one of the counters is white. It means that the favorable options are

$A=\{WN,NW\}$

Let's calculate both probabilities separately. At first, there are 11 counters, and 5 of them are white. Thus the probability of picking a white counter is

$\displaystyle \frac{5}{11}$

Once a white counter is out, there are only 4 of them and 10 counters in total. The probability to pick a non-white counter is now

$\displaystyle \frac{6}{10}$

Thus the option WN has the probability

$\displaystyle P(WN)=\frac{5}{11}\cdot \frac{6}{10}=\frac{30}{110}=\frac{3}{11}$

Now for the second option NW. The initial probability to pick a non-white counter is

$\displaystyle \frac{6}{11}$

The probability to pick a white counter is

$\displaystyle \frac{5}{10}$

Thus the option NW has the probability

$\displaystyle P(NW)=\frac{6}{11}\cdot \frac{5}{10}=\frac{30}{110}=\frac{3}{11}$

The total probability of event A is the sum of both

$\displaystyle P(A)=\frac{3}{11}+\frac{3}{11}=\frac{6}{11}$

$\boxed{\displaystyle P(A)=\frac{6}{11}}$

7 0

3 years ago

What is the Measure of

netineya [11]

Answer: 90°

Step-by-step explanation:

A measure of central tendency is a single value that attempts to describe a set of data by identifying the central position within that set of data. ... The mean (often called the average) is most likely the measure of central tendency that you are most familiar with, but there are others, such as the median and the mode.

8 0

3 years ago

357/40 mixed number I can't figure it out

Maksim231197 [3]

Answer: 8 37/40

Step-by-step explanation:

Divide 357 by 40!?

3 0

3 years ago

Maggie was at a state fair and decided to but a sundae from an ice cream stand. The ice cream stand had four flavors of ice crea

I am Lyosha [343]

Total number of ice cream flavors = 4

(chocolate,vanilla,mint chip, coconut)

Number of toppings = 2

(hot fudge , caramel).

Different sundaes could Maggie create using one scoop of ice cream and one toppings = {(chocolate, hot fudge),(chocolate, caramel), (vanila, hot fudge),(vanilla,caramel), (mint chip, hot fudge), (mint chip,caramel), (coconut,hotfudge),(coconut,caramel) }= 8

6 0

3 years ago

Read 2 more answers

What does the time say ?

cricket20 [7]

Answer: it’s 6:00 pm

Step-by-step explanation:

4 0

3 years ago