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EleoNora [17]
3 years ago
12

What is the coefficient of the following term? -X

Mathematics
2 answers:
Anna [14]3 years ago
3 0
The answer is -1 because a coefficient is the number in front of the variable which is -1 because there is an invisible 1 before the x
Vera_Pavlovna [14]3 years ago
3 0
-1 because I did this last year
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Find the product of 487.9573 and 1,000.
maria [59]
487.9573 * 1000 = 487947.30

As you can see, the first number has a decimal point, and the second number is 1000. You can drop the 0s in the 1000 leaving 1 to multiply with the first number. Simply move the decimal point to the right based on the number of 0s there are on the second number.

Since, 1000 has three 0s. Move the decimal point 3 times to the right of the number. So, from 487.9573 to 487957.3

If the function is division but the numbers are the same, you must move the decimal point to the left. 
 

6 0
3 years ago
WILL MARK BRAINLIEST! WORTH 20 POINTS PLZ HELP ME OUT!
dybincka [34]

Answer:

(0,12) and (5,0)

Step-by-step explanation:

Since the x is the small pot(5) it would come first when writing it out. And 12 is the large pot(y)

3 0
3 years ago
I need this solved please
ss7ja [257]

Answer:

x = 23

y = 128

Step-by-step explanation:

Theorem:

The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

98 = 2x + 3x - 17

115 = 5x

x = 23

Angles 3x - 17 and y form a linear pair, so they are supplementary.

3x - 17 + y = 180

3(23) - 17 + y = 180

69 - 17 + y = 180

52 + y = 180

y = 128

7 0
3 years ago
Read 2 more answers
According to the article "Characterizing the Severity and Risk of Drought in the Poudre River, Colorado" (J. of Water Res. Plann
mihalych1998 [28]

Answer:

(a) P (Y = 3) = 0.0844, P (Y ≤ 3) = 0.8780

(b) The probability that the length of a drought exceeds its mean value by at least one standard deviation is 0.2064.

Step-by-step explanation:

The random variable <em>Y</em> is defined as the number of consecutive time intervals in which the water supply remains below a critical value <em>y₀</em>.

The random variable <em>Y</em> follows a Geometric distribution with parameter <em>p</em> = 0.409<em>.</em>

The probability mass function of a Geometric distribution is:

P(Y=y)=(1-p)^{y}p;\ y=0,12...

(a)

Compute the probability that a drought lasts exactly 3 intervals as follows:

P(Y=3)=(1-0.409)^{3}\times 0.409=0.0844279\approx0.0844

Thus, the probability that a drought lasts exactly 3 intervals is 0.0844.

Compute the probability that a drought lasts at most 3 intervals as follows:

P (Y ≤ 3) =  P (Y = 0) + P (Y = 1) + P (Y = 2) + P (Y = 3)

              =(1-0.409)^{0}\times 0.409+(1-0.409)^{1}\times 0.409+(1-0.409)^{2}\times 0.409\\+(1-0.409)^{3}\times 0.409\\=0.409+0.2417+0.1429+0.0844\\=0.8780

Thus, the probability that a drought lasts at most 3 intervals is 0.8780.

(b)

Compute the mean of the random variable <em>Y</em> as follows:

\mu=\frac{1-p}{p}=\frac{1-0.409}{0.409}=1.445

Compute the standard deviation of the random variable <em>Y</em> as follows:

\sigma=\sqrt{\frac{1-p}{p^{2}}}=\sqrt{\frac{1-0.409}{(0.409)^{2}}}=1.88

The probability that the length of a drought exceeds its mean value by at least one standard deviation is:

P (Y ≥ μ + σ) = P (Y ≥ 1.445 + 1.88)

                    = P (Y ≥ 3.325)

                    = P (Y ≥ 3)

                    = 1 - P (Y < 3)

                    = 1 - P (X = 0) - P (X = 1) - P (X = 2)

                    =1-[(1-0.409)^{0}\times 0.409+(1-0.409)^{1}\times 0.409\\+(1-0.409)^{2}\times 0.409]\\=1-[0.409+0.2417+0.1429]\\=0.2064

Thus, the probability that the length of a drought exceeds its mean value by at least one standard deviation is 0.2064.

6 0
3 years ago
What is the measure of L ABD?
fenix001 [56]

Answer:

\large\boxed{39^o}

Step-by-step explanation:

m\angle ABC=90^o\\\\m\angle ABC=m\angle ABD+m\angle DBC\\\\m\angle DBC=51^o\\\\\text{Substitute:}\\\\m\angle ABD+51^o=90^o\qquad\text{subtract }\ 51^o\ \text{from both sides}\\\\m\angle ABD=39^o

4 0
3 years ago
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