The probability of a particular manufactured product being defective is 1/100. How many defective products would be expected in a random sample of 1,500 products?

Answer:

x=4

Step-by-step explanation:

y = 2x - 8

Let y =0

0 = 2x-8

Add 8 to each side

8 = 2x-8+8

8 = 2x

Divide each side by 2

8/2 = 2x/2

4 =x

Answer:

252m^3

Step-by-step explanation:

Multiply all the numbers.

Answer:

252

Step-by-step explanation:

14 times 6 times 3=252

Answer:

Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is done as follows

[tex]\frac{3^{n+4} - 3^n}{16}[/tex]

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.

[tex]\frac{3^{n+4} - 3^n}{16}[/tex] becomes

[tex]\frac{3^n * 3^4 - 3^n}{16}[/tex]

Factorize

[tex]\frac{3^n(3^4 - 1)}{16}[/tex]

[tex]\frac{3^n(81 - 1)}{16}[/tex]

[tex]\frac{3^n(80)}{16}[/tex]

3ⁿ * 5

5(3ⁿ)

The expression can not be further simplified.

However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.

Answer:

Modal:1

Median:2

Mean:2

Answer:

y= -7x+4

Step-by-step explanation:

(0,4)

(1,-3)

(2,-10)

4 is the y-intercept.

Answer:

The answer is A [tex]\frac{2}{7}[/tex]

Step-by-step explanation:

Answer:

[tex](x + 12) + 3x = 180[/tex]

Step-by-step explanation:

4x=168

x=42 left

x+12=54

3x=126 right

Answer:

(x+12)+3x=180

Step-by-step explanation:

Hope it helps you in your learning process

(x+12)+3x=180. (straight line angles)

4x + 12 = 180

4x = 180 - 12

4x = 168

x = 168/4

x = 42°

Answer:

none of the above

Step-by-step explanation:

1/8 = .125

.11 =11/100

.11 repeating = 1/9

.16 = 4/25

.1666666666repeating = 1/6

[tex]\text{Solve by plugging 4 to m:}\\\\(4)^2+3(4)\\\\16+3(4)\\\\16+12\\\\28\\\\\boxed{\text{D). 28}}[/tex]

The value of the expression [tex]m^{2} + 3m[/tex] when m =4 is 21.

An expression is a combination of numbers, variables, functions such as addition, subtraction, multiplication or division etc.

The process of swapping an algebraic letter for its value is called substitution.

According to the given question we have

An expression

[tex]m^{2} +3m[/tex]

We have to find the value of given expression when m =4, for this substitute the m =4 in the expression [tex]m^{2} + 3m[/tex]

⇒ [tex](3)^{2} + 3(4)[/tex]

⇒ 9 + 12 = 21

Hence, the value of [tex]m^{2} + 3m[/tex] when m =4 is 21.

Learn more about the expression and substitution here:

https://brainly.com/question/14619835

#SPJ2

Answer:

No solution

Step-by-step explanation:

4+ 2(5x-8)=ax+b

1. Plug in values: 4 + 2(5x-8) = (10)x + (-4)

2. Combine Like Terms: 4 + 10x -16 = 10x -4

3. Add 10x to both sides: 4 -16 = -4

4. Combine Like Terms: -12 = -4

-12 does not equal -4, so there is No solution

Answer:

4

Step-by-step explanation:

In the equation y=mx+b

b is the the value of y in the y-intercept

so change 2x+3y=12 into y=mx+b (Subtract 2x from both sides)

so 3y+2x-2x=12-2x

so 3y=-2x+12 (divide by 3)

y=-2/3x+4 so

(0,4) or

4

Answer:

2√3

Step by step Explanation:

[tex] = > \frac{ \sqrt{96} }{ \sqrt{8} } \\ \\ = > \frac{ \sqrt{12 \times 8} }{ \sqrt{8} } \\ \\ = > \frac{ \sqrt{12} \times \sqrt{8} }{ \sqrt{8} } \\ \\ = > \sqrt{12} \\ \\ = > \sqrt{4 \times 3} \\ \\ = > \sqrt{2 \times 2 \times 3} \\ \\ = > 2 \sqrt{3} [/tex]

Answer:

∠3 and ∠7 ↔ Corresponding Angles

∠2 and ∠7 ↔ Alternate Exterior Angles

∠4 and ∠5 ↔ Alternate Interior Angles

∠3 and ∠6 ↔ Alternate Interior Angles

Answer:

c. 2+4(n-1)

b. 4+3(n-1)

Step-by-step explanation:

Look at the pattern: it starts at 2, and each term afterwards goes up by 4 each time. 2+4 = 6+4 = 10... et cetera.

2+4(n-1) is the equation.

Test this out with the fifth term.

t₅ = 2 + 4(n-1) = 2 + 4*4 = 2+16 = 18

Test it out with the first term, too.

t₁ = 2 + 4(n-1) = 2 + 4(0) = 2

If you follow the same pattern with part b, you find that the equation is

4+3(n-1)

Test it in the same manner.

Answer:

a) 35km

b) 070 degrees

C) Check the photo to see what I did

Step-by-step explanation:

To get full marks look at what I did for question (c)

You have to use a protractor on letter s and make sure the 0 on the protractor is facing the letter (N). Now check where 90 degrees is and draw a line straight by using the ruler then use the compass as u can see in the photo, where (x) point is on the end of the compass is your answer {make sure the compass is 2cm which means its 20km. Also make sure to align the compass on the line you drawn}

Thank you

The real distance between the ship and the base is 35 km and the measure of the bearing of B from S is 70 degrees.

Scale factor is the factor which is used to enlarge or smaller the original figure.

Scale factor is the ratio of representation measurement of the figure to the original figures.

The diagram shows the position of the ship(S) and the marine base(B). The image of the ship is attached below.

When the distance of the attached image from ship and the base is measured by rules. It comes out 3.5 cm.

The scale of the diagram is 1 cm, represents 10 km. Thus, the real distance is,

[tex]BS=\dfrac{10}{1}\times3.5\\BS=35\rm\; km[/tex]

With the help of compass, the bearing angle of B from S is measured as,

[tex]\angle BSN=70^o[/tex]

Thus, the real distance between the ship and the base is 35 km and the measure of the bearing of B from S is 70 degrees.

Learn more about the scale factor here;

https://brainly.com/question/10253650

Answer:140.63

Step-by-step explanation:

11.25 x 12.5= 140.625

Answer:

i dont khow  

i guess true

Step-by-step explanation:

Answer:

true

your answer is correct

Step-by-step explanation:

Answer:

None

Step-by-step explanation:

There are 100cm to a meter, you have 3250cm giving you 32.5m, a km is 1000m so ther are no kilometers with 3250 cm. Not even close

Answer:

470.8km

Hope this helped!!

Answer:

C. 470.8

on edge

Step-by-step explanation:

hope this helped

Answer:

23?

Step-by-step explanation:

Answer:

12.92cm²

Step-by-step explanation:

[tex] area = \frac{1}{2} \times base \times height[/tex]

area= 1/2×7.6×3.4

Area = 1/2 × 25.84

Area = 12.92 cm²

Answer:

Step-by-step explanation:

5.67x - 8.16 + 3.6x + 9.2

Write the like terms together

= 5.67x + 3.6x - 8.16 + 9.2  

{8.16 & 9.2 have different sign, so subtract and the result will have the bigger numbers sign}

= 9.27x + 1.04

Answer:

He could multiply the amount one box ways by 100, or 0.6*100.

Step-by-step explanation:

Answer:

3125*k^9 + y^3 is an integer my closure property.

 but 5^(1/3) is not an integer, which forces z to be irrational.

Note that there is no way an integer value can rationalize 5^(1/3)

Step-by-step explanation:

x^3 = 25z^3 - 5y^3

x^3 = 5 ( 5z^3 - y^3)

x  =  (5 ( 5z^3 - y^3) )^(1/3) must be an integer

  = 5^(1/3) * (5z^3 - y^3)^(1/3)

Then  (5z^3 - y^3)^(1/3) = 25*k^3 for some integer k

 5z^3 - y^3 = 15625*k^9

 5z^3 = 15625*k^9 + y^3

  z^3 = 3125*k^9 + (1/5)*y^3

z =  ( 3125*k^9 + (1/5)*y^3 )^ ( 1/3)

answer:

ordered pair is (2,-4)

Answer:

Slope is  - 9, y-intercept is 7.

Step-by-step explanation:

f(x) = 3x - 5

g(x) = f(x+4) = 3(x+4) - 5= 3x + 12 - 5 = 3x + 7

h(x) = 3( - 3x) + 7 = - 9x + 7

h(x) = - 9x + 7

Slope of h(x) is  - 9, y-intercept is 7.

Answer:

Option D is correct

Step-by-step explanation:

Multiply 7 by 3. then add 3 and make sure  the answer is 24.

7 x 3 + 3 = 21 + 3 = 24

Hope this helps!

:)

Answer:

Option D is correct

Step-by-step explanation: