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4 years ago

Simplify radical 125

Mathematics

1 answer:

timurjin [86]4 years ago

7 0

Answer:

5√5

Step-by-step explanation:

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The point A (-7,5) is reflected over the line x = -5, and then is reflected over the line x= 2. What are the coordinates of

liubo4ka [24]

Answer:

(7, 5) is the final reflection of the point.

Step-by-step explanation:

We are given point A(-7, 5) which is first reflected over the line $x= -5$ .

The minimum distance of the point A(-7, 5) from the line $x= -5$ is 2 units across the horizontal path (No change in y coordinate).

Point A lies 2 units on the left side of the line $x= -5$ .

So, its reflection will be 2 units on the right side of $x= -5$ .

Let its reflection be A' which has coordinates as (-5+2,5) i.e. (-3, 5).

Now A'(-3, 5) is reflected on the line $x=2$ .

The minimum distance of the point A'(-3, 5) from the line $x=2$ is 5 units across the horizontal path (No change in y coordinate).

Point A' lies 5 units on the left side of the line $x=2$ .

So, its reflection will be 5 units on the right side of $x=2$ .

Let its reflection be A'' which has coordinates as (2+5, 5) i.e (7, 5) is the final reflection of the point..

Please find attached image.

(7, 5) is the final reflection of the point.

5 0

3 years ago

Find the first, fourth, and eighth terms of the sequence. A(n) = –3 • 2n–1

mars1129 [50]

9, 16, x which should be the right answer

5 0

4 years ago

a random sample of 4 claims are selected from a lot of 12 that has 3 nonconforming units. using the hypergeometric distribution

Sloan [31]

Answer:

The probability that the sample will contain exactly 0 nonconforming units is P=0.25.

The probability that the sample will contain exactly 1 nonconforming units is P=0.51.

Step-by-step explanation:

We have a sample of size n=4, taken out of a lot of N=12 units, where K=3 are non-conforming units.

We can write the probability mass function as:

$P(x=k)=\frac{\binom{K}{k}\binom{N-K}{n-k}}{\binom{N}{n}}$

where k is the number of non-conforming units on the sample of n=4.

We can calculate the probability of getting no non-conforming units (k=0) as:

$P(x=0)=\frac{\binom{3}{0}\binom{9}{4}}{\binom{12}{4}}=\frac{1*126}{495}=\frac{126}{495} = 0.25$

We can calculate the probability of getting one non-conforming units (k=1) as:

$P(x=1)=\frac{\binom{3}{1}\binom{9}{3}}{\binom{12}{4}}=\frac{3*84}{495}=\frac{252}{495} = 0.51$

5 0

4 years ago

Express x% of 4 plus y% of 5 as a percentage of 11

djverab [1.8K]

X% of 4 = x*4/100 = 0.04x

y% of 5 = x*5/100 = 0.05y

x% of 4 + y% of 5 = 0.04x + 0.05y

How you express a number, n, as percentage of 11?: [n/11]*100= 9.10n %

Then make n = 0.04x + 0.05y

9.10n %= 9.10[0.04x + 0.05y] %= (0.3656x + 0.455y)%

.

4 0

4 years ago

Solve each inequality below

Art [367]

Answer:

a) x < 13/5
b) x > -1/3
c) x<5

Steps:

3 0

3 years ago