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3 years ago

(7x −4 y 15 )(4x 14 y −3 )

Mathematics

1 answer:

LenKa [72]3 years ago

8 0

Answer:

=11x+10y+12

Step-by-step explanation:

7x +4x -4y+14y 15-3

11x 10y 12

=11x+10y+12

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6 equals 1 minus 2n plus 5

fomenos

6=1-2n+5
Above is the equation.
Combine like terms
6=-2n+6
Subtract 6 from both sides
0=-2n
Divide by -2
0=n

Hope this helped!

7 0

3 years ago

A random sample of soil specimens was obtained, and the amount of organic matter (%) in the soil was determined for each specime

Shalnov [3]

Answer:

We conclude that the true average percentage of organic matter in such soil is different from 3%.

Step-by-step explanation:

We are given that the values of the sample mean and sample standard deviation are 2.481 and 1.616, respectively.

Suppose we know the population distribution is normal, we have to test the hypothesis that does this data suggest that the true average percentage of organic matter in such soil is something other than 3%.

Let $\mu$ = true average percentage of organic matter in such soil

SO, Null Hypothesis, $H_0$ : $\mu$ = 3% {means that the true average percentage of organic matter in such soil is equal to 3%}

Alternate Hypothesis, $H_A$ : $\mu \neq$ 3% {means that the true average percentage of organic matter in such soil is different than 3%}

The test statistics that will be used here is One-sample t test statistics because we don't know about the population standard deviation;

T.S. = $\frac{\bar X -\mu}{{\frac{s}{\sqrt{n} } } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean amount of organic matter = 2.481%

s = sample standard deviation = 1.616%

n = sample of soil specimens = 30

So, test statistics = $\frac{0.02481-0.03}{{\frac{0.01616}{\sqrt{30} } } }$ ~ $t_2_9$

= -1.759

Now, P-value of the test statistics is given by;

P-value = P( $t_2_9$ > -1.759) = 0.046 or 4.6%

If the P-value of test statistics is more than the level of significance, then we will not reject our null hypothesis as it will not fall in the rejection region.

If the P-value of test statistics is less than the level of significance, then we will reject our null hypothesis as it will fall in the rejection region.

Now, here the P-value is 0.046 which is clearly smaller than the level of significance of 0.05 (for two-tailed test), so we will reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the true average percentage of organic matter in such soil is different from 3%.

3 0

3 years ago

Mia wants to find the surface area of this prism. Which unit of measurement should Mia use? A. in. B. in squared C. in cubed

finlep [7]

Its c cuz i did it and i got i right

6 0

3 years ago

Read 2 more answers

Jade buys dress shirts from a clothing manufacturer for s dollars each, and then sells the dress shirts in her retail clothing s

diamong [38]

Answer:

Retail Price = $155

Step-by-step explanation:

The retail price is 55% MORE than the manufacturer buying price.

The manufacturer buying price is $100. So the retail price would be 55% MORE.

Firstly,

55% in decimal is:

55/100 = 0.55

Now 55% of 100 is:

0.55 * 100 = $55

So, the retail price is $55 MORE, so the retail price is:

100 + 55 = $155

Retail Price = $155

5 0

3 years ago

Write the equation of a line that passes through ( 4, 6), and has a slope of 1/3

nlexa [21]

Answer:

y = 1/3x + 14/3

Step-by-step explanation:

y = mx + b

we know the slope, so the equation would be --> y = 1/3x + b

Now we plug in the coordinates of the given point (4, 6) the line goes through, and solve for b:

y = 1/3x + b

6 = 1/3(4) + b

6 = 4/3 + b

-4/3 -4/3

----------------

14/3 = b

3 0

2 years ago