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Gnesinka [82]
2 years ago
15

2020-21

Mathematics
1 answer:
Dvinal [7]2 years ago
5 0

Answer: Brain paid $ 45.5 for the jacket.

Step-by-step explanation:

Given: Original price of jacket = $ 65

Discount -= 30%

Price after discount = Original price - 30% of Original price

= 65 - 30% of 65

= 65 - (0.3) x 65    [30% = 0.3]

= (65)   (1-0.3 )             [Taking 65 common]

= (65)(0.7)

= $ 45.5

Hence, Brain paid $ 45.5 for the jacket.

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He passed out 91 objects. 13 x 4 = 52 + 39 = 3 x 13
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Solve the equation : 8+10^x=1008
Marizza181 [45]
Hi there.

I'm just going to put the answer for now. I might come back and edit my answer if I figure out how to solve this the long way.

All I did was figure out what exponent you raise 10 to. 

10³ = 1000

So, we now have 8 + 10³ = 1008

Edit:

I did it on paper - here it is broken down.

8 + 10^{x} = 1008

Subtract 8 from both sides.

10^{x} = 1000

We know that 10³ = 1000

<em>x</em> = 3

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7 0
3 years ago
A total of $114,000 will be evenly spent to build 12 Bungalows. If the first 5 bungalows have been completed and paid for, then
zhenek [66]

Answer:

66500

Step-by-step explanation:

<h3>114000/12=9500 </h3><h3>9500x7=66500</h3><h3 />

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12:total bungalows

9500:budget for each bungalow

7: unfinished bungalows

66500: remaining budget for unfinished bungalows

hope this helped and good luck :D

4 0
2 years ago
What is the y-coordinate of the plotted point?
Nana76 [90]

Answer:

(3,2)

Step-by-step explanation:

run before you jump

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2 years ago
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A simple random sample of 100 8th graders at a large suburban middle school indicated that 87% of them are involved with some ty
UkoKoshka [18]

Answer:

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

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

And the margin of error is given by:

ME = 1.96 *\frac{0.87*(1-0.87)}{100} = 0.0659

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".  

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

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

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

And the margin of error is given by:

ME = 1.96 *\frac{0.87*(1-0.87)}{100} = 0.0659

5 0
3 years ago
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