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3 years ago

Simplify the following expression.

Mathematics

2 answers:

hram777 [196]3 years ago

3 0

Answer:

-10-3x

Step-by-step explanation:

-7-4+1-3x

-11+1-3x

-10-3x

Delicious77 [7]3 years ago

3 0

Answer:

red, or d = -10-3x

Step-by-step explanation:

-7 - 4 + 1 - 3x

-11 + 1 - 3x

-10 - 3x

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Brown tree snakes are an invasive species causing huge environmental and financial damage in Guam. Researchers captured brown tr

storchak [24]

Answer:

Null Hypothesis, $H_0$ : $\mu$ $\leq$ 120 grams

Alternate Hypothesis, $H_A$ : $\mu$ > 120 grams

Step-by-step explanation:

We are given that researchers captured brown tree snakes on Guam's Andersen Air Force Base, and a random sample of 250 of these snakes were weighed.

The researchers want to perform a hypothesis test to see if the mean weight of a brown tree snake in Guam is significantly greater than 120 grams.

Let $\mu$ = mean weight of a brown tree snake in Guam.

So, Null Hypothesis, $H_0$ : $\mu$ $\leq$ 120 grams

Alternate Hypothesis, $H_A$ : $\mu$ > 120 grams

Here, null hypothesis states that the mean weight of a brown tree snake in Guam is smaller than or equal to 120 grams.

On the other hand, alternate hypothesis states that the mean weight of a brown tree snake in Guam is significantly greater than 120 grams.

So, this would be the appropriate null and the alternative hypothesis to test this claim.

8 0

4 years ago

2x-5=3x^2 find the root of X

Zina [86]

For this case we must solve the following quadratic equation:

$3x ^ 2-2x + 5 = 0$

Where:

$a = 3\\b = -2\\c = 5$

The roots are given by:

$x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}$

Substituting the values we have:

$x = \frac {- (- 2) \pm \sqrt {(- 2) ^ 2-4 (3) (5)}} {2 (3)}\\x = \frac {- (- 2) \pm \sqrt {(- 2) ^ 2-4 (3) (5)}} {2 (3)}\\x = \frac {2 \pm \sqrt {4-60}} {6}\\x = \frac {2 \pm \sqrt {-56}} {6}$

By definition we have to:

$i ^ 2 = -1\\x = \frac {2 \pm \sqrt {56i ^ 2}} {6}\\x = \frac {2 \pm i \sqrt {56}} {6}\\x = \frac {2 \pm i \sqrt {2 ^ 2 * 14}} {6}\\x = \frac {2 \pm 2i \sqrt {14}} {6}\\x = \frac {1 \pm i \sqrt {14}} {3}$