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kow [346]
3 years ago
12

Textbooks are exempted from PST in Ontario. If the total cost of a book

Mathematics
1 answer:
Andrei [34K]3 years ago
8 0

Answer:

4.24

Step-by-step explanation:

Total price = price of the book + 5% of the price of the book

T = total price   P = price of the book G = GST

T = P + G

and

G = 5% of P = 0.05P

therefore

T = P + 5%P = 1P + 0,05P = 1.05P

P = T/1.05 = 89/1.05 ≅ 84.76 (it is 84.7619047619)

G = 89 - 84.76 = 4.24

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How would you represent the expression 36 – 3(4) on the number line shown?
zaharov [31]

Answer:

D. Begin at 36 and move four units to the left three times

Step-by-step explanation:

The given expression is 36 - 3(4)

It means "it starts with 36 less 3 times 4."

Here "less" means we have to move to the left

Therefore, the answer is "D. Begin at 36 and move four units to the left three times"

Thank you.

5 0
3 years ago
Read 2 more answers
True or false: Climate of an area is established without studying long term weather patterns PLS HELP THIS IS SCIENCE NOT MATH
Amanda [17]
True I’m pretty sure: Climate can change without studying weather patterns, you don’t need to study them for climate to be established. If i’m wrong sorry
4 0
3 years ago
The area of a rectangle or a 48 square inches the length is 8 inches what is the measure of its width
adoni [48]
6 inches because area= length times width and 6 times 8= 48 inches
5 0
3 years ago
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A study of 420,076 cell phone users found that 131 of them developed cancer of the brain or nervous system. Prior to this study
Keith_Richards [23]

Answer:

a) 95% Confidence interval = (0.026%, 0.037%) to 3 d.p

b) The result of the 95% confidence interval does not agree with the previous rate of such cancer because the value 0.0224% does not lie within this confidence interval obtained.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion = (131/420076) = 0.0003118483 = 0.0312%

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 95% confidence interval for sample size of 420,076 is obtained from the z-tables because the sample size is large enough for the properties of the sample to approximate the population properties.

Critical value = 1.960 (from the z-tables)

Standard error = σₓ = √[p(1-p)/n]

n = sample size = 420,076

σₓ = √(0.0003118×0.999688/420076) = 0.0000272421 = 0.0000272

95% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.000312 ± (1.96 × 0.0000272)

CI = 0.000312 ± 0.0000534

95% CI = (0.0002586055, 0.0003653945)

95% Confidence interval = (0.000259, 0.000365)

95% Confidence interval = (0.0259%, 0.0365%) = (0.026%, 0.037%) to 3 d.p

b) The result of the 95% confidence interval does not agree with the previous rate of such cancer because the value 0.0224% does not lie within this confidence interval obtained.

Hope this Helps!!!

7 0
3 years ago
X-5y=33<br> 5x-6y=70<br> solve the system by the addition method
BARSIC [14]

For this case we have the following system of equations:

x-5y = 33\\5x-6y = 70

We multiply the first equation by -5:

-5x + 25y = -165

Thus, we have the equivalent system:

-5x + 25y = -165\\5x-6y = 70

We add the equations:

-5x + 5x + 25y-6y = -165 + 70\\19y = -95\\y = - \frac {95} {19}\\y = -5

We find the value of the variable "x":

x-5 (-5) = 33\\x + 25 = 33\\x = 33-25\\x = 8

Thus, the solution of the system is:

(x, y) :( 8, -5)

Answer:

(x, y) :( 8, -5)

7 0
3 years ago
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