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3 years ago

SOLVING QUADRATIC EQUATIONS 2) Solve 2x2 - 5 = 27

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

7 0

Answer:

x = ±4

Step-by-step explanation:

Step 1: Write out quadratic

2x² - 5 = 27

Step 2: Add 5 to both sides

2x² = 32

Step 3: Divide both sides by 2

x² = 16

Step 4: Take the square root of both sides

x = ±4

∴ x can equal -4 or 4

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The mean volume for a bottle of cologne is 4 ounces and the standard deviation is 0.22 ounces. A random sample of 121 bottles is

adelina 88 [10]

Answer:

The standard error of the mean is 0.02

Step-by-step explanation:

Here, we want to calculate the standard error of the mean.

Mathematically;

standard error of mean = SD/ √n

where SD is the standard deviation and n is the number of samples

From the question, SD = 0.22 and n = 121

Inserting this into the equation

Standard error of the mean = 0.22/√121

= 0.22/11 = 0.02

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3 years ago

Round your answer to one decimal digit. The volume of a cylinder is 1800cm squared. if the height of the cylinder is 40cm then t

jonny [76]

$_____________________________________$

$\sf\huge\underline\red{SOLUTION:}$

Use formula:

$\sf{V = \pi(\frac{d}{2})^2h}$

Solving for diameter:

$\sf d = 2 \times \sqrt{ \frac{V}{\pi h} } \\ \sf = 2 \times \sqrt{ \frac{40}{\pi \times 1800} } \approx0.16821 \\ = \sf \large\boxed{\sf{\green{d = 0.17}}}$

$\sf\huge\underline\red{FINAL \: ANSWER}$

$\large\boxed{\sf{\green{d=0.17}}}$

$_____________________________________$

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8 0

3 years ago

Write the direct variation function given that y varies directly with x, and y = 1.5 when x = 5.

Cloud [144]

Answer:

y=0.3x

Step-by-step explanation:

Formula = $K=\frac{y}{x}$

y α x

y = kx

Where k is the constant of proportionality.

When y = 1.5; x = 5;

We substitute these known values in the equation,

y = kx

1.5 = k5

Dividing both sides of the equation by 5 to find the value for k, we have

1.5/5= k0.3/5

Therefore,

K = 0.3

Having found the value of k,

We substitute this value into the relationship

y = kx

Therefore we have,

y = 0.3x.

The direct variation function is therefore,

y = 0.3x.

[RevyBreeze]

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2 years ago

Sam earned $380 working for 8 hours.<br> How much does Sam earn per hour? $<br> per hour

Crank

Answer:

$47.50

Step-by-step explanation:

You just take $380 and divide it by 8 hours to get the amount of money per hour, which is $47.50 .

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2 years ago

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