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2 years ago

Distance between (-5, -5) And (-9, -2)

1 answer:

5 0

$d = \sqrt{(x_2 - x_1)^2+(y_2-y_1)^2} \\ d = \sqrt{(-9 - (-5))^2+(-2 - (-5))^2} \\ d = \sqrt{(-4)^2+(3)^2} \\ d = \sqrt{16 + 9} \\ d = \sqrt{25} = 5$

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A study of one thousand teens found that the number of hours they spend on social networking sites each week is normally distrib

Svetradugi [14.3K]

Given:

Sample Mean = 30
Sample size = 1000
Population Standard deviation or σ=2
Confidence interval = 95%

to compute for the confidence interval

Population Mean or μ= sample mean ± (z×SE)

where:

SE→ Standard Error

SE=σ√n= 30√1000=0.9486

Critical Value of z for 95% confidence interval =1.96

μ=30±(1.96×0.9486)
μ=30±1.8594

Upper Limit

μ = 30 + 1.8594 = 31.8594

Lower Limit

μ = 30 − 1.8594 = 28.1406

answer: 28.1406<u<31.8594

3 0

3 years ago

How to reduce the fraction 10/63

mr_godi [17]

I'm pretty sure 10/63 is simplified.

6 0

2 years ago

Read 2 more answers

Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle is translated 4 units down and 3 units left. Which rule r

crimeas [40]

Option C: $(x, y) \rightarrow(x-3, y-4) ; (5,-1)$ is the coordinates of C after translation.

Explanation:

The triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3).

Also, given that the triangle is translated 4 units down and 3 units left.

We need to determine the coordinates of the vertex C after translation.

The triangle is shifted 4 units down means subtracting 4 units from the y - coordinate of the graph.

Thus, it can be written as $y-4$

Also, the triangle is shifted 3 units left means subtracting 3 units from the x - coordinate of the graph.

Thus, it can be written as $x-3$

Thus, the translation is given by

$(x, y) \rightarrow(x-3, y-4)$

The vertices of C after translation can be determined by

$(8, 3) \rightarrow(8-3, 3-4)\implies (5,-1)$

Thus, $(x, y) \rightarrow(x-3, y-4) ; (5,-1)$ is the coordinates of C after translation.

Hence, Option C is the correct answer.

3 0

2 years ago

Read 2 more answers

1. What is( - 1/2 + 2) 2. 4( 1/2+5/4) + (-5) (please answer, I will mark brainliest) :)

Ulleksa [173]

$\longrightarrow (-\dfrac{1}{2} +2)$

$\longrightarrow (-\dfrac{1}{2} +\dfrac{4}{2} )$

$\longrightarrow \dfrac{-1+4}{2}$

$\longrightarrow \dfrac{3}{2}$

$\sf \bold{\longrightarrow 1\dfrac{1}{2}}$ (final answer)

$\longrightarrow \sf 4(\dfrac{1}{2} +\dfrac{5}{4} ) + (-5)$

$\longrightarrow \sf 4(\dfrac{2}{4} +\dfrac{5}{4} ) + (-5)$

$\longrightarrow \sf 4(\dfrac{7}{4} ) + (-5)$

$\longrightarrow \sf 7-5$

$\longrightarrow \bold{\sf 2}$ (final answer)

4 0

1 year ago

Please help me !! (no this isnt a test/exam)

stiv31 [10]

Answer:

infinitely many

Step-by-step explanation:

Add 12-y to both sides of the second equation to put it into standard form like the first equation:

y +(12 -y) = (x -12) +(12 -y)

12 = x - y . . . simplify

x - y = 12 . . . . second equation in standard form

We see this is identical to the first equation. That means every solution of the first equation is also a solution of the second equation. There are infinitely many solutions.

8 0

2 years ago