SEE ATTACHMENT BELOW - 40 POINTS

Answer:

49

Step-by-step explanation:

Answer:

0.0067 = 0.67% probability of selecting at least 3 defective fuses.

Step-by-step explanation:

For each fuse, there are only two possible outcomes. Either it is defective, or it is not. The probability of a fuse being defective is independent of any other fuse, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A company manufactures fuses. The percentage of non-defective fuses is 95.4%.

This means that 100 - 95.4 = 4.6% = 0.046 are defective, which means that [tex]p = 0.046[/tex]

A sample of 9 fuse was selected.

This means that [tex]n = 9[/tex]

Calculate the probability of selecting at least 3 defective fuses.

This is:

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{9,0}.(0.046)^{0}.(0.954)^{9} = 0.6545[/tex]

[tex]P(X = 1) = C_{9,1}.(0.046)^{1}.(0.954)^{8} = 0.2840[/tex]

[tex]P(X = 2) = C_{9,2}.(0.046)^{2}.(0.954)^{7} = 0.0548[/tex]

Then

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.6545 + 0.2840 + 0.0548 = 0.9933[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.9933 = 0.0067[/tex]

0.0067 = 0.67% probability of selecting at least 3 defective fuses.

Given:

The inequalities are:

[tex]2x-3<7[/tex]

[tex]2x+1>-3x-4[/tex]

To find:

The range of values of [tex]x[/tex] for the given inequalities.

Solution:

We have,

[tex]2x-3<7[/tex]

Adding 3 on both sides, we get

[tex]2x-3+3<7+3[/tex]

[tex]2x<10[/tex]

Divide both sides by 2.

[tex]\dfrac{2x}{2}<\dfrac{10}{2}[/tex]

[tex]x<5[/tex]                      ...(i)

The second inequality is:

[tex]2x+1>-3x-4[/tex]

Subtracting 1 from both sides, we get

[tex]2x+1-1>-3x-4-1[/tex]

[tex]2x>-3x-5[/tex]

Adding [tex]3x[/tex] on both sides, we get

[tex]2x+3x>-3x-5+3x[/tex]

[tex]5x>-5[/tex]

Divide both sides by 5.

[tex]\dfrac{5x}{5}>\dfrac{-5}{5}[/tex]

[tex]x>-1[/tex]            ...(ii)

Using (i) and (ii), we get

[tex]-1<x<5[/tex]

Therefore, the required range is [tex]-1<x<5[/tex].

Answer:

[tex]3[/tex] times

Step-by-step explanation:

[tex]5x=15[/tex]

Divide both sides by 5

[tex]x=3[/tex]

Hope this helps

Answer:

9 Times

Step-by-step explanation:

You need to find how many times farther away Amy sets up her target. She used to set it up 5 feet away. Start by finding how many feet away she sets up her target now.

There are 3 feet in a yard, so multiply 15 yards by 3.

15×3=45

Now, Amy sets up her target 45 feet away. She used to set it up 5 feet away. You can use a multiplication fact to find how many times farther away she sets up her target now.

5×9=45

Amy sets up her target 9 times farther away now.

The answer for the following question is 12i.

Answer:

t + u = 10 + 2i

Step-by-step explanation:

t + u

= 4 + 6 + 2i ← collect like terms

= 10 + 2i

Answer:

∠AEC ≅ ∠BED by vertical angles theorem

Answer:

Answer:

∠AEC ≅ ∠BED by vertical angles theorem

Step-by-step explanation:

Answer:

complete the square 2 x + 38 = 0

Step-by-step explanation:

Answer:

16days

Step-by-step explanation:

1 man =4days

4men=4men/1man×4days

=4×4days

=16days

Answer:

1

Step-by-step explanation:

averaging

Answer:

Angle EBF is the alternate interior angle of BEA.

Step-by-step explanation:

We are taking AE parallel to BF and EB as the transversal.

Hope it helps you.^_^

Step-by-step explanation:

is it a question ? please check.

Answer:

Step-by-step explanation:

D.

supplementary.

BC.

D.

Answer:

z = -74

Step-by-step explanation:

12 = (2+z) / -6

Multiply each side by -6

-6 * 12 = (2+z)/ -6 * -6

-72 = 2+z

Subtract 2 from each side

-72-2 = 2+z-2

-74 =z

Answer:

this is the answers

Answer:

1

Step-by-step explanation:

An equilateral triangle is a triangle with all three sides of equal length, so there's only one option, a triangle with all three sides 7 centimeters.

Answer:

The true statements are;

1) The center of the ellipse is at (-2, -5)

3) The covertices are at (-2, -4) and (-2, -6)

4) The distance between the center and each focus is 2·√6 units

Step-by-step explanation:

The given graph of the ellipse gives;

1) The location of the center of the ellipse = (-2, -5)

2) The location of the vertices of the ellipse = (-7, -5) and (3, -5)

The distance between the center (-2, -5) and each vertex, d, is given as follows;

d = -2 - (-7) = 5 and d = 3 - (-2) = 5

Therefore, the distance between the center (-2, -5) and each vertex is 5 units

3) The location of the covertices, given in the diagram are (-2, -4), and (-2, -6)

4) The coordinates of the focus of an ellipse = h - c, k

c = √(a² + b²)

Where, for the given ellipse, h = -2, k = -5, c = √(5² - 1²) = √(24) = 2·√6

∴ The location of the focus of the ellipse = (-2 - 2·√6, -5)

The distance between the center and each focus, d = -2 - (-2 - 2·√6) = 2·√6

5) The x-coordinate of the directrices of the ellipse = ± a/e

Where; a = 5

b² = a²·(1 - e²)

∴ e² = 1 - b²/a² = 1 - 1/25 = 24/25

e = 2·√6/5

The directrices = -2 ± 5/(2·√6/5) ≈ -2 ± 5.1

The distance between the center and the directrices ≈ 5.1 units

Therefore, the directrices are vertical lines approximately 5.1 units from the center

Answer:

x = 135

Step-by-step explanation:

The angles are vertical angles and vertical angles are equal

125 = x-10

Add 10 to each side

125+10 = x

135 =x

Answer:

3. first make Y the subject, then x^2 will become negative which will make the the parabola open up

Answer:

b = 8 in

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here A = 12 and h = 3 , then

[tex]\frac{1}{2}[/tex] b × 3 = 12 , that is

1.5b = 12 ( divide both sides by 1.5 )

b = 8

Answer:

{2, 4, 6, 8,10}

Step-by-step explanation:

GIven U={1,2,3,.............,10} A={2,4,6,8,10} and B= {1,3,5,7,9);

Required

A-B = AnB'

B' = {2, 4, 6, 8,10}

AnB' are elements common to both A and B'.Hence;

AnB' = A- B = {2, 4, 6, 8,10}

Answer:

45 Tokens

Step-by-step explanation:

3:5:7

Anya = 3

Daniel = 5

Victoria = 7

Daniel + Victoria = 36

5 + 7 = 36

12 = 36

1 = 3

(1 ratio is 3 tokens)

(3 + 5 + 7) × 3 = 45

Answer:

It's well be 2 cause that is the only one thag makes sense

Answer:

101°

Step-by-step explanation:

Answer:

your answer would be B. -5 +3i✓3

Answer:

0.9999

Step-by-step explanation:

One way to calculate the probability that at least one of them need repairs is that we can calculate the opposite (none need repairs) and subtract that from 1 (100%).

The probability that a car does not need repairs is 0.2. To find the probability that six cars all fulfill this 0.2 probability, we can get [tex]0.2^{6} =0.000064[/tex] . This is the probability that none require repairs. The opposite of this is that at least one needs repairs, so 1-0.000064 - 0.999936. Rounded to 4 decimal places, the probability is 0.9999

3+2=5

Milk =3/5×640 = 384

Curd 2/5×640 = 256