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Lorico [155]
2 years ago
13

If a line has a slope of 2 and contains the point (-2, 1), what is its equation in

Mathematics
1 answer:
Lapatulllka [165]2 years ago
5 0

Answer:

D

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = 2 and (a, b ) = (- 2, 1 ) , then

y - 1 = 2(x - (- 2)) , that is

y - 1 = 2(x + 2)

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Suppose you have a standard deck of 52 cards. What is the probability that if you select a card at random that it does not have
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0.92

Step-by-step explanation:

There are 4 cards in a deck of 52 cards that has a face value of 3. That means that the other 48 cards don't have a face value of 3. Therefore, the probability of picking a card of this deck that doesn't have a face value of 3 is

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4 0
3 years ago
Translate 22% of b into an expression
romanna [79]

Answer:

11/50b

Step-by-step explanation:

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3 years ago
A physicist examines 25 water samples for nitrate concentration. The mean nitrate concentration for the sample data is 0.165 cc/
xz_007 [3.2K]

Answer:

The 80% confidence interval for the the population mean nitrate concentration is (0.144, 0.186).

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Step-by-step explanation:

We have to calculate a 80% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=0.165.

The sample size is N=25.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

s_M=\dfrac{s}{\sqrt{N}}=\dfrac{0.078}{\sqrt{25}}=\dfrac{0.078}{5}=0.016

The degrees of freedom for this sample size are:

df=n-1=25-1=24

The t-value for a 80% confidence interval and 24 degrees of freedom is t=1.318.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_M=1.318 \cdot 0.016=0.021

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 0.165-0.021=0.144\\\\UL=M+t \cdot s_M = 0.165+0.021=0.186

The 80% confidence interval for the population mean nitrate concentration is (0.144, 0.186).

6 0
3 years ago
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Answer:

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Step-by-step explanation:

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2 years ago
Find the factorization of the polynomial below
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the answer is C, (8x + 3)^2 :)

6 0
3 years ago
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