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Lemur [1.5K]
3 years ago
11

Find the coordinates of H' after a reflection across the parallel lines; first across y = -2 and then across y = 2. Answer in fo

rm (a,b). Part 7a
​

Mathematics
1 answer:
Harrizon [31]3 years ago
4 0

Answer: H' = (-4, 4)

<u>Step-by-step explanation:</u>

H = (-4, -4)

reflect across y = -2:

H is 2 units below y = -2 so when reflected it will be 2 units above y = -2

--> t<em>he x-coordinate doesn't change</em>    the new y-coordinate is: 0

H' = (-4, 0)

reflect across y = 2:

H' is 2 units below y = 2 so when reflected it will be 2 units above y = 2

--> t<em>he x-coordinate doesn't change</em>    the new y-coordinate is: 4

H'' = (-4, 4)

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Which letter is in the solution set for graph #2
stealth61 [152]

Answer:

<h2>A</h2>

Step-by-step explanation:

y > 0 - the region above the line together with that line

y ≥ 0 - the region above the line together with that line

y < 0 - the region below the line without that line

y ≤ 0 - the region below the line together with that line

We have:

y > 2 - the region above the line together with that line

y ≥ 2x - 3 - the region above the line together with that line

<em>look at the picture</em>

The common part is the solution.

8 0
3 years ago
The mean annual salary for intermediate level executives is about $74000 per year with a standard deviation of $2500. A random s
horrorfan [7]

Answer: D. 0.306

Step-by-step explanation:

Assuming a normal distribution for the annual salary for intermediate level executives, the formula for normal distribution is expressed as

z = (x - u)/s

Where

x = annual salary for intermediate level executives

u = mean annual salary

s = standard deviation

From the information given,

u = $74000

s = $2500

We want to find the probability that the mean annual salary of the sample is between $71000 and $73500. It is expressed as

P(71000 lesser than or equal to x lesser than or equal to 73500)

For x = 71000,

z = (71000 - 74000)/2500 = - 1.2

Looking at the normal distribution table, the probability corresponding to the z score is 0.1151

For x = 73500,

z = (73500 - 74000)/2500 = - 0.2

Looking at the normal distribution table, the probability corresponding to the z score is 0.4207

P(71000 lesser than or equal to x lesser than or equal to 73500) is

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6 0
3 years ago
In a binomial distribution, n = 8 and π=0.36. Find the probabilities of the following events. (Round your answers to 4 decimal p
skelet666 [1.2K]

Answer:

\mathbf{P(X=5) =0.0888}    

P(x ≤ 5 ) = 0.9707

P ( x ≥ 6) = 0.0293

Step-by-step explanation:

The probability of a binomial mass distribution can be expressed with the formula:

\mathtt{P(X=x) =(^{n}_{x} )   \  \pi^x \  (1-\pi)^{n-x}}

\mathtt{P(X=x) =(\dfrac{n!}{x!(n-x)!} )   \  \pi^x \  (1-\pi)^{n-x}}

where;

n = 8 and π = 0.36

For x = 5

The probability \mathtt{P(X=5) =(\dfrac{8!}{5!(8-5)!} )   \  0.36^5 \  (1-0.36)^{8-5}}

\mathtt{P(X=5) =(\dfrac{8!}{5!(3)!} )   \  0.36^5 \  (0.64)^{3}}

\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 \times 5!}{5!(3)!} )  \times  \ 0.0060466 \  \times 0.262144}

\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 }{3 \times 2 \times 1} )  \times  \ 0.0060466 \  \times 0.262144}

\mathtt{P(X=5) =({8 \times 7 } )  \times  \ 0.0060466 \  \times 0.262144}

\mathtt{P(X=5) =0.0887645}

\mathbf{P(X=5) =0.0888}     to 4 decimal places

b. x ≤ 5

The probability of P ( x ≤ 5)\mathtt{P(x \leq 5) = P(x = 0)+ P(x = 1)+ P(x = 2)+ P(x = 3)+ P(x = 4)+ P(x = 5})

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P(x ≤ 5 ) = 0.0281+0.1267+0.2494+0.2805+0.1972+0.0888

P(x ≤ 5 ) = 0.9707

c. x ≥ 6

The probability of P ( x ≥ 6) = 1  - P( x  ≤ 5 )

P ( x ≥ 6) = 1  - 0.9707

P ( x ≥ 6) = 0.0293

4 0
3 years ago
Choose the point-slope form of the equation below that represents the line that passes through the points (−3, 2) and (2, 1).Sel
DIA [1.3K]
I hope this helps you



slope=1-2/2-(-3)


slope = -1/5


y-(-3)= -1/5 (x-2)


y+3= -1/5 (x-2)
6 0
4 years ago
M&lt;RPS = 6x +11°<br>help​
Fudgin [204]

Answer:

its still 6x + 11 they dont add

Step-by-step explanation:

4 0
3 years ago
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