780 as a percentage of 1.5

Let X denote the life of a semiconductor laser (in hours) with the following probabilities: P(X ≤ 5000) = 0.05 and P(X > 7000

Anna [14]

Answer:

a) P [ x ≤ 7000] is 0.55

b) P [ x > 5000 ] = 0.95

c) P [ 5000 < x ≤ 7000 ] = 0,5

Step-by-step explanation:

a) P [ x > 7000 ] = 0.45 straightforward P [ x ≤ 7000] is 0.55

The whole spectrum of probabilities is 1 which in this particular case is divided in two parts having 7000 as a limit, then we subtact 1 - 0.45

b) P [ x ≤ 5000] = 0.05 again we get P [ x > 5000] taking 1-0.05 to get

P [ x > 5000 ] = 0.95

c) P [ 5000 < x ≤ 7000 ]

Under Normal curve distribution the probability of x ≤ 7000 includes values smallers ( to the left of 5000) so we subtract from 0.55 - 0.05 = 0.50

c) P [ 5000 < x ≤ 7000 ] = 0,5

6 0

2 years ago

The area of a circle is 1441 m2. What is the diameter of the circle?

gregori [183]

Hey there! I'm happy to help!

The area of a circle is the radius squared multiplied by pi (we will use 3.14). We already have the area, so we will go backwards.

1441÷3.14≈458.9171975

We find the square root.

√458.9≈21.42235275

Now we have our approximate radius. The diameter is twice the radius.

21.42235275×2=42.8447055

I don't know exactly if they want you to round it or not, but the diameter is somewhere around there.

Have a wonderful day! :D

6 0

3 years ago

URGENT WILL MARK BRAINLIEST

allochka39001 [22]

Explanation:

Draw altitude AD to segment BC such that point D is on BC. This creates right triangles ADB and ADC.

Hypotenuses AB and AC are given as congruent. Leg AD in each triangle is congruent to itself by the reflexive property of congruence.

Then the triangles ADB and ADC are congruent by the HL congruence theorem.

Angles B and C are corresponding parts of congruent triangles, so are congruent by CPCTC.

5 0

2 years ago

Which set of three numbers could be the side lengths of a triangle?

spin [16.1K]

Answer:

The correct option is C.

Step-by-step explanation:

In a triangle, then sum of two smaller sides is greater than the length of third greatest side.

Let, in a triangle ABC, If the length of sides are $a$ , then

$c$

In option A,

$8\nless 2+4$

Therefore option A is incorrect.

In option B,

$6\nless 2+4$

Therefore option B is incorrect.

In option C,

$7$

Therefore option C is correct.

In option D,

$9\nless 3+5$

Therefore option D is incorrect.

7 0

2 years ago

Read 2 more answers

The area of a square slice of cheese is 25 square inches. The perimeter of the slice of cheese is

maxonik [38]

Answer:

As Per Provided Information

Area of given square slice of cheese is 25 square inches .

We have been asked to determine the perimeter of the slice of cheese .

First we will find the side of square slice of cheese .

Let us assume the side of square slice of cheese be s .

Now Let's Solve

$\boxed{\bf \:Area_{(Square)} = {Side}^{2}}$

Substituting the value and we obtain

$\sf \longrightarrow \: 25 = {s}^{2} \\ \\ \\ \sf \longrightarrow \: \sqrt{25} = s \\ \\ \\ \sf \longrightarrow \: s \: = 5 \: inch$

So, the side of square slice cheese is 5 inch

Now let's calculate the Perimeter of cheese

$\boxed{\bf \: Perimeter_{(Square)} = 4 \times side}$

Substituting the value we obtain

$\longrightarrow \sf \: Perimeter_{(Square)} = 4 \times 5 \\ \\ \\ \longrightarrow \sf \: Perimeter_{(Square)} =20 \: inches$

Therefore,

Perimeter of square slice of cheese is 20 inches .

8 0

2 years ago