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SpyIntel [72]
3 years ago
8

What is the slope of the line containing the ordered pair (2, 3) and (-4,0)?

Mathematics
2 answers:
GarryVolchara [31]3 years ago
5 0

Answer:

The slope of the line passing between these points is 1/2

Step-by-step explanation:

slope is equal to the difference vertically divided by the difference horizontally, moving left to right.

In this case, (2, 3) is further left, so we'll subtract (-4, 0) from that.

(2, 3) - (-4, 0) =  (6, 3)

So we know the displacement is (6, 3) and we need simply delete dy by dx:

s = Δy/Δx

s = 3/6

s = 1/2

So we have a slope of one half, describing a line that moves up, left at a 45 degree angle from the horizontal.

stiks02 [169]3 years ago
5 0

Answer:

slope = \frac{1}{2}

Step-by-step explanation:

Calculate slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (- 4, 0)

m = \frac{0-3}{-4-2} = \frac{-3}{-6} = \frac{1}{2}

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A researcher wants to estimate the percentage of all adults that have used the Internet to seek pre-purchase information in the
Lubov Fominskaja [6]

Answer:

The required sample size for the new study is 801.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

25% of all adults had used the Internet for such a purpose

This means that \pi = 0.25

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

What is the required sample size for the new study?

This is n for which M = 0.03. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.96\sqrt{\frac{0.25*0.75)}{n}}

0.03\sqrt{n} = 1.96\sqrt{0.25*0.75}

\sqrt{n} = \frac{1.96\sqrt{0.25*0.75}}{0.03}

(\sqrt{n})^2 = (\frac{1.96\sqrt{0.25*0.75}}{0.03})^2

n = 800.3

Rounding up:

The required sample size for the new study is 801.

4 0
3 years ago
Using measures of center and variability to compare data- quiz answers?
lawyer [7]

herehopes it helps can i pleaseget brainliest

Download pdf
3 0
2 years ago
How much is nine times eight ?​
liubo4ka [24]
8 x 9 = 72

So 72 is your answer
3 0
3 years ago
Which equation can be used to solve for x in the parallelogram below?
densk [106]

Answer:

B. (3x - 12)° = (2x + 8)°

Step-by-step explanation:

This equation can be used to solve x.

3x - 12 = 2x + 8

3x - 2x = 12 + 8

x = 20°

-------------------------------------------------------------------

Verification:

3(20) - 12 = 2(20) + 8

60 - 12 = 40 + 8

48° = 48°

6 0
3 years ago
Osvoldo has a goal of getting at least 30% of his grams of carbohydrates each day from whole grains. Today, he ate 220 grams of
pochemuha

Answer:

Answer: Osvoldo did not meet his goal.

Step-by-step explanation:

Total carbohydrate ate by Osvoldo = 220 g

carbohydrate from grains = 55 g

Percentage of carbohydrate of grain is

\begin{gathered}=\dfrac{\text { carbohydrate taken from grains}}{\text {Total carbohydrate}} \times 100\\\\= \dfrac{55}{220} \times 100= 25 \%\end{gathered}

=

Total carbohydrate

carbohydrate taken from grains

×100

=

220

55

×100=25%

Goal of getting carbohydrate from grains = at least 30%

but he ate only 25% of carbohydrate

Hence, Osvoldo did not meet his goal as he ate less carbohydrate than his goal.

8 0
3 years ago
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