A fair number cube with the numbers 1, 2, 3, 4, 5, and 6 is rolled.
a. What is the probability of getting an even number? Response area
b. What is the probability of getting a factor of 6?
* will mark brainliest *

Answer:

I'm a sophomore in highschool.

Step-by-step explanation:

uhhhh uh yeah :)

Answer:

x = 1/2 or x = 3

Step-by-step explanation:

Solve for x over the real numbers:

abs(7 - 4 x) = 5

Split the equation into two possible cases:

7 - 4 x = 5 or 7 - 4 x = -5

Subtract 7 from both sides:

-4 x = -2 or 7 - 4 x = -5

Divide both sides by -4:

x = 1/2 or 7 - 4 x = -5

Subtract 7 from both sides:

x = 1/2 or -4 x = -12

Divide both sides by -4:

Answer: x = 1/2 or x = 3

Answer:

x≤ 50

Step-by-step explanation:

Answer:

The answer is 41 degrees

Step-by-step explanation:

Answer:

w-(12*6)=2/3w

Step-by-step explanation:

w=216

Answer:

midpoint= (1,1)

Step-by-step explanation:

Use the midpoint formula to find the midpoint of the line segment.

Answer:

x = -2

Step-by-step explanation:

-11x + 14 = 36

-11x = 36 - 14

-11x = 22

x = 22/-11

x = -2

Answer:

-2

Step-by-step explanation:

1. Subtract 14 from both sides.

2. Simplify 36−14 to 22.

3. Divide both sides by -11.

4. Simplify 22/11 to 2.

Answer:

[tex]\boxed{D. 10^1^1}[/tex]

Step-by-step explanation:

Hey there!

When dealing with these types of problems, you always need to subtract the exponents.

Given

[tex]\frac{10^8}{10^-^3}[/tex]

We subtract 8 and -3.

8 - (-3)

The 2 minuses make a plus

Therefore the answer is [tex]10^1^1[/tex]

Hope this helps :)

Answer:

d

Step-by-step explanation:

i just took the test on e2020

Answer:

D:))

Step-by-step explanation:

Answer:

5 games :)

. .

Answer:

4 games

Step-by-step explanation:

You take the two given numbers and add them together, which is 4.50.

Then you take 10 and divide it by 2.50 which gets you 4

4 GAMES

● Answer:

6.25 km

● Step-by-step explanation:

Hi there !

4 cm ........... 5 km

5 cm ........... x km

x = 5cm×5km/4cm

= 25km/4

= 6.25 km

Good luck !

Answer:

D. 96 degrees

Step-by-step explanation:

In a parallelogram, opposite angles must add up to 180

3x + x + 52 = 180

4x = 128

x = 32

∠B = 3x

∠B = 3(32)

∠B = 96

Answer:

96

Step-by-step explanation:

3x + x + 52 = 180

4x = 128

x = 32

∠B = 3x

∠B = 3(32)

∠B = 96

Step-by-step explanation:

Step 1:

[tex]76 - (- 34)[/tex]

write the equation

Step 2:

[tex]76 + 34[/tex]

open the brackets and sign of -34 change into +34→

reason :

[tex] - \times + = - [/tex]

Step 3:

[tex]112[/tex]

after adding 76 and 36 we will get 112✓

hope it helped you:)

Which expression is equivalent to 76 - ( - 34 ) ?

First, Open the brackets, we get

76 + 34

Now, Add Them, we get

110

76 - ( - 34 ) = 110

Answer:

EG = 18

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.2x – 1.8/5 = 4.2​

0.2x - 1.8 = 4.2 (5)

x = 21 + 1.8

        0.2

x = 22.8 / 0.2

x = 114

Answer:

-4 and +4

Step-by-step explanation:

They are both the same distance from 0 - 4 units

Answer:

-4 and 4

Absolute value is the distance from 0 to any other number

always + (positive)

Step-by-step explanation:

Complete Question

In proof testing of circuit boards, the probability that any particular diode will fail is 0.01.

Suppose a circuit board contains 200 diodes. How many diodes would you expect to fail, and what is the standard deviation of the number that are expected to fail? What is the (approximate) probability that at least four diodes will fail on a randomly selected board?If five boards are shipped to a particular customer, how likely is it that at least four of them will work properly? (A board works properly only if all its diodes work)

Answer:

  The number of diode expected to fail is

             [tex]\mu =2 [/tex]

 The standard deviation is

          [tex]\sigma  = 1.407 [/tex]

  The probability that at least four diodes will fail on a randomly selected board is  

[tex]P(X \ge 4) = 0.1419[/tex]

Step-by-step explanation:

Generally the testing follows a binomial distribution because

1 The number of trials is finite

2 There is only two outcomes( which (a) A diode fail (b) a diode does not fail)

3 The each individual trial is independent of each other.

4 The chances of success is constant for every trial

From the question we are told that

The probability that a diode will fail is [tex]p = 0.01[/tex]

The sample size is n = 200

Generally the number of diode expected to fail is mathematically represented as

[tex]\mu = n * p[/tex]

=> [tex]\mu = 200 * 0.01 [/tex]

=> [tex]\mu =2 [/tex]

Generally the standard deviation is mathematically represented as

[tex]\sigma = \sqrt{ np * (1 - p)}[/tex]

=> [tex]\sigma = \sqrt{ 200* 0.01 * (1 - 0.01 )}[/tex]

=> [tex]\sigma = 1.407 [/tex]

Generally the probability that at least 4 diode will fail is mathematically represented as

[tex]P(X \ge 4) = 1 - P(X < 4 )[/tex]

Generally

[tex]P(X < 4 ) = P(X = 0 ) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

=> [tex]P(X < 4 ) = ^nC_0 p^0 * (1-p)^{n-0} +^nC_1 p^1 * (1-p)^{n-1}+^nC_2 p^2 * (1-p)^{n-2}+ ^nC_3 p^3 * (1-p)^{n-3} [/tex]

=> [tex]P(X < 4 ) = ^{200}C_0 p^0 * (1-0.01)^{200-0} +^{200}C_1 (0.01)^1 * (1-0.01)^{200-1}+^{200}C_2 (0.01)^2 * (1-0.01)^{200-2}+ ^{200}C_3 (0.01)^3 * (1-0.01)^{200-3} [/tex]

=> [tex]P(X < 4 ) = 0.134 + 0.2707 + 0.2727 + 0.1814[/tex]

=> [tex]P(X<4) = 0.8581[/tex]

So

      [tex]P(X \ge 4) =  1 -0.8581)[/tex]

=> [tex]P(X \ge 4) = 0.1419[/tex]

Answer:

how everany they want to choose abviously

Answer:

[tex] \frac{39}{52} = 0.75[/tex]

Answer: 1.75c + 1.75s

Step-by-step explanation:

The following can be deduced from the question:

Cost of either a can of gourmet chili = $1.75

Cost of a can of hearty soup = $1.75

c = the number of cans of chili purchased.

s = the number of cans of soup purchased.

To get the expression showing the total cost for the number of cans of chili and soup purchased,we multiply the the number of cans of chili purchased by 1.75 and also multiply the number of cans of soup purchased by 1.75. This will be:

= (1.75 × c) + (1.75 × s)

= 1.75c + 1.75s or 1.75(c+s)

The best subset that describes the dimension of a rectangle is the set of all rational numbers.

We have,

The dimension of a rectangle refers to its length and width, which are usually measured in units such as feet or meters.

These measurements can be any real number, including irrational numbers such as √2 or π.

Now,

The only subset of the rational numbers listed in the answer choices is the positive rational numbers, which are the set of all numbers that can be expressed as a ratio of two integers where the denominator is not zero and the numerator and denominator are both positive.

While the dimensions of a rectangle can be positive rational numbers, they can also be negative rational numbers or zero, as long as they satisfy the properties of a rectangle (e.g., length and width are both positive, and the angles are right angles).

Therefore, the answer is not D.

Also, whole numbers and integers are not sufficiently precise to describe the dimensions of a rectangle, as they do not include fractions or decimals.

The only subset of rational numbers that include all possible values for the dimensions of a rectangle is the set of all rational numbers, which includes positive, negative, and zero rational numbers, as well as fractions and decimals.

Therefore,

The best answer is "the set of all rational numbers".

Learn more about rectangles here:

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Answer:

72 students

Step-by-step explanation:

1. change 60% to decimal= 0.6

2. multiply 0.6 by 120

3. 72

Answer:

x=9

Step-by-step explanation:

2(x-3)=12

First you use the distributive property

so you do 2 times x then 2 times -3

rewrite it as 2x-6=12

add 6 on both sides

2x=18

divide 2 from both sides and you get x=9

Answer:

X=3

Step-by-step explanation:

FOIL

2X-6=12

    -6=-6

2X=6

_=_

2   2

Answer:

The number is 7. If you divide -28 by -4 you get 7, 7×-4=-28

Answer:

Depending on what type of math class you are in, or how your teacher taught it, it could be either 12 R:4 or 12 + 1/370.

Step-by-step explanation:

Remainders can be written in two ways, R: [remainder] or the whole number quotient + [remainder number]/[dividend]. For this problem you would have to simplify 4/1480 to 1/370 because 1480/4 equals 370. So, your final answer would be 12 + 1/370 or 12 R:4.

Answer:

Result for Inequality expression 1:

[tex]x < 5[/tex]

Result for Inequality expression 2:

[tex]x \geq -3[/tex]

Step-by-step explanation:

-Inequality expression 1:

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

-Inequality expression 2:

[tex]5 - x \leq 8[/tex]

-Solve inequality expression 1:

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

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

[tex]2x < 10[/tex]

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

[tex]\boxed {x < 5}[/tex]

-Solve inequality expression 2:

[tex]5 - x \leq 8[/tex]

[tex]5 - 5 - x \leq 8 - 5[/tex]

[tex]- x \leq 3[/tex]

[tex]\frac{-x}{-1} \leq \frac{3}{-1}[/tex]

[tex]\boxed {x \geq -3}[/tex] (inequality sin changed by divide by a negative integer or variable)

The following inequality represents the solution set -

-3 ≤ x < 5.

We have the following compound inequality -

2x – 3 < 7

5 – x ≤ 8

We have to solve for x.

A compound inequality (or combined inequality ) is two or more inequalities joined together with OR or AND. There are two types of compound inequalities in the form of conjunction problems and disjunction problems.

According to the question, we have -

2x – 3 < 7

Add 3 on both sides -

2x - 3 + 3 < 7 + 3

2x < 10

Divide both sides by 2, we get -

x < 5

5 – x ≤ 8

Subtract 5 on both sides -

5 - x - 5 ≤ 8 - 5

- x ≤ 3

Multiply both sides by '-1' -

x ≥ -3

Combining both solutions, we can write it as -

-3 ≤ x < 5

Hence, the following inequality represents the solution set -

-3 ≤ x < 5

To solve more questions on Compound inequalities, visit the link below-

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Answer:

it would be 17.10 because .95 x 18 is 17.1 and 17.1 and 17.10 are the same

Step-by-step explanation: