The mid point of P (10,4) and Q (-4, -6) is: *

Increase £84 by 23%<br> TIA X

zmey [24]

Answer:

103.32

Step-by-step explanation:

May way to answer a question like this

84(1+23/100)

Lets break it down:

Step 1. 23/100=0.23

Step2. 0.23+1=1.23

Step3. 1.23 x 84=103.32

I hope this helps You

4 0

3 years ago

The standard deviation of the distribution of sample means is _______.

luda_lava [24]

Answer:

Standard error

Step-by-step explanation:

The standard deviation of the distribution of sample means is called the standard error of the means.

It is denoted by: $\sigma_{\bar X}$

The standard error is calculated using the formula: $\sigma_{\bar X}=\frac{\sigma}{\sqrt{n} }$

where n is the sample size and $\sigma$ is the population standard deviation.

6 0

3 years ago

One watering system needs about three times as long to complete a job as another warning system when both systems operate at the

algol13

Answer:

One watering system requires 36 minutes to complete the job alone while another watering system requires 12 minutes to complete the job alone.

Step-by-step explanation:

Given:

Both the system can complete the job = 9 minutes

We need find the time required by each system to do the job.

Solution:

Let the time required by another watering system to complete the job be 'x' mins.

Now given:

One watering system needs about three times as long to complete a job as another watering system.

Time required by one watering system = $3x$

Rate to complete the job by another watering system = $\frac{1}{x}\ job/min$

Rate to complete the job by One watering system = $\frac{1}{3x}\ job/min$

Rate at which both can complete the job = $\frac{1}{9}\ job/min$

So we can say that;

Rate at which both can complete the job is equal to sum of Rate to complete the job by another watering system and Rate to complete the job by One watering system.

framing in equation form we get;

$\frac{1}{x}+\frac{1}{3x}=\frac19$

Now taking LCM to make the denominator common we get;

$\frac{1\times3}{x\times 3}+\frac{1\times1}{3x\times1}=\frac19\\\\\frac{3}{3x}+\frac{1}{3x}=\frac19\\\\\frac{3+1}{3x}=\frac{1}{9}\\\\\frac{4}{3x}=\frac{1}{9}$

By Cross multiplication we get;

$4\times9 =3x\\\\3x =36$

Dividing both side by 3 we get;

$\frac{3x}{3}=\frac{36}{3}\\\\x=12\ min$

Time required by One watering system = $3x =3\times 12 =36\ min$

Hence One watering system requires 36 minutes to complete the job alone while another watering system requires 12 minutes to complete the job alone.

6 0

3 years ago

7. Sandra had a coupon for 20% off. It took off $60 from the total cost. What was the original price of the item? Proportion Sol

Liula [17]

I’m pretty sure it’s b tell me if I’m wrong tho~~

6 0

3 years ago

A crew of highway workers paved 1/2 mile in 1/4 hour. If they work at the same rate, how much will they pave in one hour?

mote1985 [20]

Step-by-step explanation:

The easiest approach is to realise that one hour is 3 times longer than

20

minutes. The longer the time, the more they will pave.

2

15

of a mile, in 20 minutes, how much in 60 minutes?#

They will pave 3 times more.

2

15

×

3

1

=

6

15

of a mile

6

15

=

2

5

of a mile

You could also use the 'unitary method' where you find out how much they pave in ONE minute (divide by

20

) and them multiply by

60

to find how much in one hour.

Look at what happens:

2

15

÷

20

×

60

=

2

15

×

1

20

×

60

3

=

2

15

×

3

←

exactly the same maths.

=

2

5

4 0

3 years ago

Read 2 more answers