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3 years ago

Please help me I’ve been stuck for awhile

Mathematics

1 answer:

Paul [167]3 years ago

7 0

Hey there! I'm happy to help you out!

Let's think of our original price ($P) as 100%. This is also the same thing as 1 because 100% is one whole thing.

Now, we see that he got a 15% off discount. Now, we just subtract 15% from 100% to see what percent he actually payed.

100%-15%=85%

This means that $R is 85% of $P (100%).

Answer A is not correct because 0.85% is less than 1%, which is not 85%.

Answer B is not correct either because 0.15% is also less than 1%.

Answer C is correct because $R is 85% of the original cost.

I hope that this helps! Have a wonderful day!

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How many inches are in 300 feet

Pepsi [2]

There are 3,600 inches in 300 feet.

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3 years ago

A line has a y-intercept at (0,−15) and contains the point (−4,−3). What is the equation of the line in slope-intercept form?

nydimaria [60]

Answer: $y=-3x-15$

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" the y-intercept.

Since the given line has a y-intercept at (0,-15), then:

$b=-15$

The formula for calculate the slope is:

$m=\frac{y_2-y_1}{x_2-x_1}$

Knowing that the given line contains the points (0,-15) and (-4,-3), we can calculate the slope. This is:

$m=\frac{-15-(-3)}{0-(-4)}=-3$

Substituting values into $y=mx+b$ , we get that the equation of the line in Slope-Intercept form is:

$y=-3x-15$

6 0

3 years ago

Statistics In the manual “How to Have a Number One the Easy Way,” it is stated that a song “must be no longer than three minutes

dimaraw [331]

Answer:

We conclude that the sample is from a population of songs with a mean greater than 210 seconds.

Step-by-step explanation:

We are given that a simple random sample of 40 current hit songs results in a mean length of 252.5 seconds.

Assume that the standard deviation of song lengths is 54.5 sec.

Let $\mu$ = population mean length of the songs

So, Null Hypothesis, $H_0$ : $\mu$ $\leq$ 210 seconds {means that the sample is from a population of songs with a mean smaller than or equal to 210 seconds}

Alternate Hypothesis, $H_A$ : $\mu$ > 210 seconds {means that the sample is from a population of songs with a mean greater than 210 seconds}

The test statistics that will be used here is One-sample z-test statistics because we know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean length of songs = 252.5 seconds

$\sigma$ = population standard deviation = 54.5 seconds

n = sample of current hit songs = 40

So, the test statistics = $\frac{252.5-210}{\frac{54.5}{\sqrt{40} } }$

= 4.932

The value of z-test statistics is 4.932.

Now, at 0.05 level of significance, the z table gives a critical value of 1.645 for the right-tailed test.

Since the value of our test statistics is more than the critical value of z as 4.932 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the sample is from a population of songs with a mean greater than 210 seconds.

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3 years ago

Are 12d +36 and 12(d+3) equivalent

Nina [5.8K]

Answer:

Yes

Step-by-step explanation:

They are equivalent as 12d + 36 is the expanded form of 12(d + 3)

4 0

2 years ago

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