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aivan3 [116]
3 years ago
5

Azila is a salesgirl for a cosmetic product. Her salary is RM375 per week with 5% commission of her weekly sales. What is the le

ast value of a product that Aliza must sell if she targets a minimum salary of RM550 for a particular week?​
Mathematics
1 answer:
Ostrovityanka [42]3 years ago
7 0

Answer:

RM3,500

Step-by-step explanation:

Salary=RM375 per week

5% commission per week

If she target a minimum of RM 550.

Let x=minimum Sales

RM550=RM375 + 5% of x

RM550=RM375 + 0.05x

RM550 - RM375=0.05x

RM175=0.05x

Divide both sides by 0.05

RM175/0.05=0.05x/0.05

RM3,500=x

For Azila to earn a minimum of RM550 in a week, her salary will be RM375 plus 5% commission on the sales of RM3,500 value of product.

Check:

5% of RM3,500

=0.05*3,500

=RM175

Plus

Salary of RM375

RM175 + RM375=RM550

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In a random sample of 80 teenagers, the average number of texts handled in a day is 50. The 96% confidence interval for the mean
Nastasia [14]

Answer:

a) \bar X =\frac{46+54}{2}=50

And the margin of error is given by:

ME= \frac{54-46}{2}= 4

The confidence level is 0.96 and the significance level is \alpha=1-0.96=0.04 and the value of \alpha/2 =0.02 and the margin of error is given by:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

We can calculate the critical value and we got:

z_{\alpha/2} = 2.05

And if we solve for the deviation like this:

\sigma = ME * \frac{\sqrt{n}}{z_{\alpha/2}}

And replacing we got:

\sigma =4 *\frac{\sqrt{80}}{2.05} =17.45

b) ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}=2.05 *\frac{17.45}{\sqrt{160}}=2.828

And as we can see that the margin of error would be lower than the original value of 4, the margin of error would be reduced by a factor \sqrt{2}

Step-by-step explanation:

Previous concepts  

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

\bar X represent the sample mean  

\mu population mean (variable of interest)  

\sigma represent the population standard deviation  

n=80 represent the sample size  

Solution to the problem

Part a

The confidence interval for the mean is given by the following formula:  

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)  

For this case we can calculate the mean like this:

\bar X =\frac{46+54}{2}=50

And the margin of error is given by:

ME= \frac{54-46}{2}= 4

The confidence level is 0.96 and the significance level is \alpha=1-0.96=0.04 and the value of \alpha/2 =0.02 and the margin of error is given by:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

We can calculate the critical value and we got:

z_{\alpha/2} = 2.05

And if we solve for the deviation like this:

\sigma = ME * \frac{\sqrt{n}}{z_{\alpha/2}}

And replacing we got:

\sigma =4 *\frac{\sqrt{80}}{2.05} =17.45

Part b

For this case is the sample size is doubled the margin of error would be:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}=2.05 *\frac{17.45}{\sqrt{160}}=2.828

And as we can see that the margin of error would be lower than the original value of 4, the margin of error would be reduced by a factor \sqrt{2}

5 0
2 years ago
16w+2 simplified<br><br> Factor the expression by the greatest common factor
MatroZZZ [7]

Answer:

2(8w + 1)

Step-by-step explanation:

Look on either side of the plus sign. What ever you see that is common is a common factor. In this case it is also the greatest common factor.

2 appears on both sides of the plus sign.

2(16w/2 + 2/2)

4 0
2 years ago
Read 2 more answers
Is this correct? I have an open dot on 2 with the arrow going to the right if it's not clear
dlinn [17]

Answer:

Yep! an open dot is <

A closed dot means ≤

Hope this helps! :)

If you don't mind please mark as brainliest! :)

7 0
2 years ago
Nonsense will be Reported!!​
USPshnik [31]

Step-by-step explanation:

1. when x is 0

y will be

4x+2y=10

4(0)+2y=10

0+2y=10

collect like terms

2y=10-0

2y=10

divide both sides by 2

2y/2=10/2

y=5

so when x =0 y will equal to 5

2. when x is 1

y will be

4x+2y=10

4(1)+2y=10

4+2y=10

collect like terms

2y=10-4

2y=6

divide both sides by two

2y/2=6/2

y=3

so when x is 1, y is 3

3. when x is 2

4x+2y=10

4(2)+2y=10

8+2y=10

(CLT) 2y=10-8

2y =2

y= 1

6 0
2 years ago
Read 2 more answers
My am never friends have 3/4 and one nickel to spend if Maia and her friends share the money equally how much for each person ge
EleoNora [17]

Answer:

Each person get = 20 cents

Step-by-step explanation:

Given - Maya and three friends have three quarters and one nickel to spend.

To find - If Maya and her friends share the money equally how much will each person get ?

Proof -

We know that

1 nickel = 5 cents

1 quarter = 25 cents

As they spent, 3 quarters and one nickel

So,

Total money spent = 3(25) + 5 = 75 + 5 = 80 cents

⇒Total money spent = 80 cents

Now,

Total people = 4 (Maya and three friends )

Now,

Given that, They share the money equally

So,

Each person get = \frac{80}{4} = 20 cents

5 0
3 years ago
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