can you all please help me with a and b ​

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Price = R820.99[/tex]

Required

Calculate the VAT

To solve this question, we need the percentage VAT. Assume that the % VAT is 2%, the amount to pay is:

[tex]Amount = 2\% * R820.99[/tex]

[tex]Amount = 0.02 * R820.99[/tex]

[tex]Amount = R16.4198[/tex]

Answer:

Step-by-step explanation:

48, percentage decreased by 75% (percent) of its value = 12

Answer:

a) the probability of (2 < X < 6) is 0.6247

b) the value of c is 3.878

c) the value of E[ x² ] is 13

Step-by-step explanation:

Given that;

mean μ = 3

variance = 4

standard deviation s = √variance  = √4 = 2

(a) Find the probability P(2 < X < 6)

P(2 < X < 6) = p( (x - μ / s ) < z <  (x - μ / s ) )

= p( (2 - 3 / 2 ) < z < (6 - 3 / 2 ) )

= p( -0.5  < z <  1.5)

from z-score table, 1.5; z = 0.9332 and -0.5; z = 0.3085

so

P(2 < X < 6)  = 0.9332 - 0.3085 = 0.6247

Therefore, the probability of (2 < X < 6) is 0.6247

b) Find the value c such that P(X > c) = 0.33

with p-value = 0.33, the corresponding z -score to the right is 0.439

we know that;

z = x - μ / s

we substitute

0.439 = x - 3 / 2

x - 3 = 2 × 0.439

x - 3 = 0.878

x = 0.878 + 3

x = 3.878

Therefore, the value of c is 3.878

c) Find E[ x² ].

Variance = E[ x² ] - [ mean ]²

E[ x² ]  = Variance + [ mean ]²

we substitute

E[ x² ]  = 4 + [ 3 ]²

E[ x² ]  = 4 + 9

E[ x² ]  = 13

Therefore, the value of E[ x² ] is 13

The distribution follows a normal distribution.

The given parameters are:

[tex]\mathbf{\mu = 3}[/tex] --- mean

[tex]\mathbf{\sigma^2= 4}[/tex] --- variance

(a) P(2 < x < 6)

Start by calculating the standard deviation

[tex]\mathbf{\sigma = \sqrt{\sigma^2}}[/tex]

This gives

[tex]\mathbf{\sigma = \sqrt{4}}[/tex]

[tex]\mathbf{\sigma =2}[/tex]

Calculate the z-scores for x = 2 and 6

[tex]\mathbf{z = \frac{x - \mu}{\sigma}}[/tex]

So, we have:

[tex]\mathbf{z = \frac{2 - 3}{2} = -0.5}[/tex]

[tex]\mathbf{z = \frac{6 - 3}{2} = 1.5}[/tex]

So, the probability becomes

[tex]\mathbf{P(2 < x < 6) = P(-0.5 < z < 1.5)}[/tex]

Using z table of probabilities, we have:

[tex]\mathbf{P(2 < x < 6) =0.9332 - 0.3085}[/tex]

[tex]\mathbf{P(2 < x < 6) =0.6247}[/tex]

(b) Calculate c if P(X > c) = 0.33

Start by calculating the z-score for p-value = 0.33

From the z table, z = 0.439 when p-value = 0.33

Recall that:

[tex]\mathbf{z = \frac{x - \mu}{\sigma}}[/tex]

So, we have:

[tex]\mathbf{0.439 = \frac{x - 3}{2}}[/tex]

Multiply both sides by 2

[tex]\mathbf{0.878= x - 3}[/tex]

Add 3 to both sides

[tex]\mathbf{3.878= x}[/tex]

Rewrite as:

[tex]\mathbf{x = 3.878}[/tex]

Replace x with c

[tex]\mathbf{c = 3.878}[/tex]

The value of c is 3.878

(c) Calculate E[x²]

The variance of a dataset is:

[tex]\mathbf{\sigma^2 =E(x^2) - \mu^2}[/tex]

Substitute known values

[tex]\mathbf{4 =E(x^2) - 3^2}[/tex]

[tex]\mathbf{4 =E(x^2) - 9}[/tex]

Add 9 to both sides

[tex]\mathbf{13 =E(x^2) }[/tex]

Rewrite as:

[tex]\mathbf{E(x^2) = 13 }[/tex]

Hence, the value of [tex]\mathbf{E(x^2) }[/tex] is 13

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Answer: wwoww you don't know math

way

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

∛—125=-5

Answer:

3/8

2+x>4

(x+3) (x-3)

Step-by-step explanation:

Hope this helps

Answer:

9.8

Step-by-step explanation:

1.  Move the decimal one space to the right on both the divisor and the dividend.

2.  You should end up with 382.2 divided by 39

3. Answer is 9.8

Answer:

[tex]option \: b) \: \: \: 5 \sqrt{5} cm[/tex]

Step-by-step explanation:

Given,

Base of the triangle = 10

Hypotenuse of the triangle = 15

So, according to Pythagoras Theorem,

[tex] {c}^{2} - {a}^{2} = {b}^{2} [/tex]

[tex] {15}^{2} - {10}^{2} = {b}^{2} [/tex]

[tex]225 - 100 = {b}^{2} [/tex]

[tex]125 = {b}^{2} [/tex]

[tex]b = \sqrt{125} [/tex]

[tex]b = \sqrt{5 \times 5 \times 5} [/tex]

[tex]b = 5 \sqrt{5} cm \: (ans)[/tex]

Answer: 2/3 of paper

Step-by-step explanation: 2 papers divided by 3 students would be 2/3 of paper for each

Answer:

5x+3x+15=8x+15

.................... ;)

Answer:

[tex]\alpha =1.76\ rad/s^2[/tex]

Step-by-step explanation:

Given that,

Initial angular speed of the skater, [tex]\omega_i=4.5\pi\ rad/s[/tex]

Final angular speed of the skater, [tex]\omega_f=7.2\pi\ rad/s[/tex]

Time interval, t = 4.8 s

We need to find her average angular acceleration  during this time interval. Let [tex]\alpha[/tex] be the average acceleration of the skater. So,

[tex]\alpha =\dfrac{\omega_f-\omega_i}{t}\\\\\alpha =\dfrac{7.2\pi -4.5\pi}{4.8}\\\\\alpha =1.76\ rad/s^2[/tex]

So, her angular acceleration is [tex]1.76\ rad/s^2[/tex].

Answer:

y=2/9x-1/3

Step-by-step explanation:

since line h is parallel to line g, this means that line h has the same slope as line g.

line h's slope would be 2/9.

to find the y-intercept, plug (-3, -1) into the equation y=2/9x+b. -3 will represent x and -1 will represent y:

y=2/9x+b

-1=2/9(-3)+b

Then, solve for b:

-1=2/9(-3)+b

-1=-6/9+b

b=-1/3

so, the equation for line g is: y=2/9x-1/3

Answer:

a. We are 90% sure that the mean GPA for all students at her school is between 3.14 and 3.52.

b. The length would increase.

c. The interval would be narrower.

d. The biggest potential source of bias is making the students state their grades aloud, which makes it possible that students with low grades could lie their grades, making it seem higher, and the interval biased.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

Margin of error of a confidence interval:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which z is related to the confidence level(higher the confidence level, higher z) [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

This shows that if we increase the confidence level, the margin of error gets larger and the interval gets wider, while if we increase the sample size the margin of error gets smaller and the interval gets narrower.

a. Interpret the confidence level.

We are 90% sure that the mean GPA for all students at her school is between 3.14 and 3.52.

b. Explain what would happen to the length of the interval if the confidence level were increased to 99%.

We would increase the confidence level, and the interval would get wider, that is, the length would increase.

c. How would a 90% confidence interval based on a sample of size 200 compare to the original 90% interval?

Larger sample size means that the interval would be narrower.

d. Describe one potential source of bias in Ellery's study that is not accounted for by the margin of error.

The biggest potential source of bias is making the students state their grades aloud, which makes it possible that students with low grades could lie their grades, making it seem higher, and the interval biased.

Based on the information given in the sample, it should be noted that this implies that we are 90% sure that the mean GPA for all students at the school is between 3.14 and 3.52.

Lastly, a potential source of bias in Ellery's study that is not accounted for by the margin of error is making the students state their grades aloud. This will make some of them with lower grades lie.

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Answer:

72

Step-by-step explanation:

have a great day

Answer:

hello your question is incomplete attached below is the complete question

answer :

for  I1 =     [tex]\frac{1}{x^2} + \frac{4}{x^3}[/tex]    The integral converges

for  I2 =    [tex]\frac{2x + 6}{2(x^2 + 6x + 4 )}[/tex]  The integral diverges

for  I3 =  [tex]\frac{1}{x^2}[/tex]  The integral converges

for  I4 = 1  The integral diverges

Step-by-step explanation:

The similar integrands and the prediction ( conclusion )

for  I1 =     [tex]\frac{1}{x^2} + \frac{4}{x^3}[/tex]    The integral converges

for  I2 =    [tex]\frac{2x + 6}{2(x^2 + 6x + 4 )}[/tex]  The integral diverges

for  I3 =  [tex]\frac{1}{x^2}[/tex]  The integral converges

for  I4 = 1  The integral diverges

attached below is a detailed solution

Answer:

The answer is C.

Step-by-step explanation:

You should plug the numbers into the quadratic formula to get the answer.

Answer:

A:  -5 ± √ 17 / 2

Step-by-step explanation:

Consider the following equations:

ax^2 + bx + c - This is an equation you use in understanding quadratic functions.

x= (−b± √b^2−4ac) / 2a - This is the quadratic formula used to solve quadratic functions

So:  ax^2 + bx + c = x^2 + 5x + 2

SOLVE:

-(5) ± √ 5^2−4(1)(2)) / 2(1)

= -5 ± √ 25− 8 / 2

= -5 ± √ 25− 8 / 2

= -5 ± √ 17 / 2

Answer:

When the maker of a promissory note fails to pay, the note is said to be dishonored.

Step-by-step explanation:

Really? Here we go...

0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48

and

0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50

or if you wanted conjuction

0, 20, 40

Answer:

Step-by-step explanation:

4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48

5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50

The same factors are bolded

Answer:

18

Step-by-step explanation:

xy + 4 = 40

xy = 40 - 4

xy = 36

What two numbers can b multiplied to give 36? Then add them.

9 + 4 = 13

18 + 2 = 20

6 + 6 = 12

12 + 3 = 15

The odd option is 18

The 18 will not be the sum of the two numbers for the given option so option (D) will be correct.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say that two numbers are x and y

Given,

Multiply two integers together and then add 4, the result is 40.

So,

xy + 4 = 40

xy = 36

The possible two numbers whose multiplication gives 36 are

(6 ,6) , (9,4),(12,3) and (18,2)

So the sum would be 12, 13, 15 and 20

The Remaining is 18.

Hence "The 18 will not be the sum of the two numbers".

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Answer:

64 ways

Step-by-step explanation:

there are 8 different colors, with 8 different possibilities on the color arrangement.

Answer: All of them are correct expect number 5

Step-by-step explanation: 43 divided by 25 is 43/25 and that’s not right so the correct answer is 1950 because if you divide 1950 by 25 you get 78 and 78 + 12 = 90

Answer:

x = number of pies

$13.00  + (X -1)($10.00 per pie) = cost

Step-by-step explanation:

Number of pies = x

Total cost of = dollars = d

d = x + 10x

Hope that helps!

Answer:

16, 25, 36

Step-by-step explanation:

The square numbers that are greater than 10 but less than 40 are 16, 25 and 36

A square number is a number multiplied by itself. This can also be called a number squared.

Given,

Square numbers that are greater than 10 and less than 40

[tex]4^{2}=16\\ 5^{2}=25\\ 6^{2}=36[/tex]

Hence, the  square numbers that are greater than 10 but less than 40 are 16, 25 and 36

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Answer:

$6.69448

Step-by-step explanation:

I=?

P=$266.50

R=2.5*1/100=2.5/100

T=12

P*R*T

$266.50*2.5/100*12=$6.69448

Answer:

12hr, 66mins, 1.23245 sedconda

Step-by-step explanation:

fvavdfbgthujiugfd

Answer:

x=14 ; y= √153.

Step-by-step explanation:

1) x=7 / sin30°=14.

2) y=√(x²-7²)=√153.

(9.69-9.58):9.58*100 =

(9.69:9.58-1)*100 =

101.14822546973-100 = 1.1

Eso sería una disminución de 1.1

O como porcentaje redondeado 1.14%.

Espero eso ayude!

The percentage decrease in stock is 1.13%.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the stock price in technology was $9.69 yesterday. Today the price dropped to $9.58.

Assume that the percentage decrease is [x]%. Then, we can write -

[x] = [(9.69 - 9.58)/9.69] x 100

[x] = 1.13%

Therefore, the percentage decrease in stock is 1.13%.

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[Question is english is given as follows -

The stock price in technology was $9.69 yesterday. Today the price dropped to $9.58. Find the percent decrease. Round your answer to the nearest tenth of a percent.]