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3 years ago

Y + 4x+6=0 solve for y

Mathematics

1 answer:

Svetlanka [38]3 years ago

3 0

Answer: Y= -4X -6

Step-by-step explanation:

First, you need to get y by itself

so subtract 4x and 6 from each side

y = -4x -6

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A chocolate factory produces mints that weigh 10 grams apiece. The standard deviation of the weight of a box of 10 mints is 3 gr

frozen [14]

The confidence that the box you bought did not come from the factory is 90 %.

<u>Step-by-step explanation:</u>

Since we have given that

Population Mean weight (\mu)= 10 grams a piece

Standard deviation of the weight of a box = 3 grams

Number of mints = 10

We need to buy a box of mints that weighs 95 grams.

Sample mean is given by

x = $\frac{95}{10}=9.5$ grams .

First we find out the standard error which is given by

$s=\frac{\sigma}{\sqrt{n}}\\\\=\frac{3}{\sqrt{10}}\\\\$ = 0.94868

Since it is normal distribution, so, we will find z-score.

$z=\frac{x-\mu}{s}\\\\z=\frac{9.5-10}{0.94868}\\\\z=-0.527\\\\$

z = - 0.53

The area to the left of a z-score of -0.53 = 0.29805.

So, it may be 90% or 95 % confidence.

For 95% confidence level,

$\alpha=\frac{1-0.95}{2}=0.025$

Similarly,

For 90% confidence level,

$\alpha=\frac{1-0.90}{2}=0.05$

The value is much smaller than 0.05.

So, we will get 90% confidence and the critical value = 1.645

Margin of error is given by

(Standard deviation) $\times$ (critical\ value) = 0.94868 $\times$ 1.645

=1.56

So, confidence interval will be

(10-1.56,10+1.56)

=(8.44,11.56)

4 0

4 years ago

As you go deeper underground the earth's temperature increases. In some places, it may increase by 25 degrees per kilometer. Wha

Alla [95]

Answer:

The rate of degrees per meter increased would be 25,000°

4 0

3 years ago

Rewrite the equation below so that it does not have fractions.

lidiya [134]

Answer:

$\frac{15}{20} x-2=\frac{8}{20}$

Step-by-step explanation:

$\frac{3}{4} x-2=\frac{2}{5}$

3/4 and 2/5 have a common denominator which is twenty so you can rewrite the equation with just knowing that

$\frac{3}{4} =\frac{15}{20}$

$\frac{2}{5} =\frac{8}{20}$

$\frac{15}{20} x-2=\frac{8}{20}$

You can then multiply both sides by twenty to solve this equation.

Hope this helps.

4 0

3 years ago

Read 2 more answers

Evaluate 18a+5 when a=3.<br><br> 18a+5=

mafiozo [28]

Answer:

Step-by-step explanation:

all you do is change the a to a 3 then multiply 18*5 then add 5 now you got the answer.

3 0

3 years ago

Read 2 more answers

Circle towns limit form a perfectly circular shape that has a population of 20000 in the population density of 480 people per sq

Alex

Answer:

$D =\frac{P}{\pi X^2}$

And solving for the radius we got:

$X = \sqrt{\frac{P}{\pi D}}$

And replacing the data given we got:

$X = \sqrt{\frac{480 \frac{people}{km^2}}{\pi *20000 people}}= 0.0874Km$

And this value converted to meters is $X = 87.40 m$

Step-by-step explanation:

For this case we know the population size $P = 20000$ and we also know the population density $D = 480 \frac{people}{km^2}$

We can assume that the area is a circle. We also know that the formula for the population density is given by:

$D= \frac{P}{A}$

Where P represent the number of people and A the area. Since we are assuming a circle then the area is given by:

$A = \pi X^2$

With X the radius of the circle

And then the populationd density become:

$D =\frac{P}{\pi X^2}$

And solving for the radius we got:

$X = \sqrt{\frac{P}{\pi D}}$

And replacing the data given we got:

$X = \sqrt{\frac{480 \frac{people}{km^2}}{\pi *20000 people}}= 0.0874Km$

And this value converted to meters is $X = 87.40 m$

6 0

4 years ago