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3 years ago

Scientific notation 9.78 × 10^5 - 732,000 It has to be either 2.46 × 10^5 or 2.46 × 10^3

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

3 0

Answer:

$2.46\times 10^5$

Step-by-step explanation:

$9.78 \times 10^5 - 732,000\\= 9.78 \times 10^5 - 7.32 000\times 10^5\\= 9.78 \times 10^5 - 7.32\times 10^5\\= 2.46\times 10^5$

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3 years ago

suppose that a company claims that its coffee cans contain 8.2 ounces of coffee, on average. you take many large samples, and fi

vovangra [49]

Answer:

Accept the claim that mean = 8.2oz.

Step-by-step explanation:

Given that a company claims that its coffee cans contain 8.2 ounces of coffee, on average.

To check this, normally large samples are drawn and sample mean is calculated

Then hypotheses created as

H0: Mean = 8.2

Ha: Mean not equals 8.2

The std deviation of sample is found out and then 95% confidence interval is calculated.

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3 years ago

Read 2 more answers

Help question attached multiple choice

Rina8888 [55]

ANSWER

$x = \frac{\pi}{2} , \frac{7\pi}{6} , \frac{3\pi}{2} , \frac{11\pi}{6}$

EXPLANATION

The given trigonometric equation is

$\cos(x) + 2 \cos(x) \sin(x) = 0$

We factor cos(x) to get:

$\cos(x) (1 + 2 \sin(x) ) = 0$

Apply the zero product property to obtain:

$\cos(x) = 0 \: or \: 1 + 2 \sin(x) = 0$

$\cos(x) = 0 \: or \: \sin(x) = - \frac{1}{2}$

Using the unit circle,

$\cos(x) = 0$

when

$x = \frac{\pi}{2}$

and

$x = \frac{3\pi}{2}$

We know

$\sin(y) = \frac{1}{2}$

when

$y= \frac{\pi}{6}$

The sine function is negative in the third and fourth quadrants.

$x = \pi + \frac{\pi}{6} = \frac{7\pi}{6}$

$x = 2\pi - \frac{\pi}{6} = \frac{11\pi}{6}$

Hence the solutions are:

$x = \frac{\pi}{2} , \frac{7\pi}{6} , \frac{3\pi}{2} , \frac{11\pi}{6}$

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3 years ago