A factory produces 100 units of a certain product and 6 of them are defective. If three units are picked at random then what is the probability that at least one of them is defective?.

The value of the expression xy + z is 26 when x = 6, y = 4, and z = 2

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

xy + z

The values are given as

x = 6, y = 4, and z = 2

The expression can then be represented as

xy + z = 6 * 4 + 2

Evaluate the product

So, we have

xy + z = 24 + 2

Evaluate the sum

So, we have

xy + z = 26

Hence, the value of the expression xy + z is 26 when x = 6, y = 4, and z = 2

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Probability of having at least one boy and at least one girl is 0.75

There are two possibilities of a child, it could be a girl or a boy.

Since, the family plans to have 3 children.

∴ Total outcomes are = 2³

Total outcomes are = 8 outcomes

The total possible outcomes are: BBB, BBG, BGB, GBB, GBG, BGG, GGB, GGG

So, there are 8 possible outcomes.

Now, probability of having at least one boy and at least one girl= 1 - (Probability of having all girls, Probability of having all boys)

Probability of having all girls i.e., GGG = 1/8

Probability of having all boys i.e., BBB = 1/8

P(at least one boy and at least one girl) = 1 - (1/8 + 1/8)

= 1 - (2/8)

= 6/8

= 0.75

∴ P(at least one boy and at least one girl) = 0.75

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The different possible outcomes are there if she spins a spinner with 5 equal-sized sections-

So, there are are total 10 outcomes of  flipping a coin

A coin has two faces head and tail . On flipping a coin there are total 2 outcomes i.e. a head and a tail.

There is  a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday.

On Spinning a spinner with 5 equal-sized sections there are total 5 outcomes . They are Monday, Tuesday, Wednesday, Thursday, Friday.

So there are two events flipping a coin and spinning a spinner.

possible outcomes are

(Head, Monday)   (Tail , Monday)     (Head, Tuesday)  (Tail, Tuesday)

(Head, Wednesday)    (Tail , Wednesday)  (Head, Thursday)  (Tail, Thursday)

(Head, Friday)  (Tail, Friday)

So, there are are total 10 outcomes.

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The actual distance between Los Angeles and San Francisco will be 19,83,824 feet.

Given that,

The distance between San Diego and San Francisco = 2,683,824 feet,

And,

Los Angeles is about 7,00,000 feet closer to San Francisco than San Diego,

Now,

Distance is the total movement of an object without any regard for direction i.e. the distance covered by the object.

So,

Now,

According to the question,

To find the actual distance,

The actual distance between Los Angeles and San Francisco = The distance between San Diego and San Francisco) - (The difference in the distance)

i.e.

The actual distance between Los Angeles and San Francisco = 2,683,824-700,000

On solving we get,

The actual distance between Los Angeles and San Francisco = 19,83,824

Hence we can say that the actual distance between Los Angeles and San Francisco will be 19,83,824 feet.

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Based on the word problem, the number is 9

This refers to the type of number that is expressed as the ratio of two integers that has a non-zero denominator.

Let the numerator be x

Let the denominator be x+2

If 5 is subtracted from the numerator

x - 5

If 5 is added to the denominator

x +2 + 5

x-5/x+7= 1/4

Cross multiply the values

It becomes

4x- 20 = x+ 7

3x= 27

x= 9

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Answer:

g(x) = | x + 5 | + 2

Step-by-step explanation:

given f(x) then f(x ± h ) represents a horizontal translation of f(x)

• if x > 0 then a shift to the left of h units

• if x < 0 then a shift to the right of h units

here f(x) is shifted left by 5 units , then

g(x) = | x + 5 |

given f(x) then f(x) + k represents a vertical translation of f(x)

• if k > 0 then a shift up of k units

• if k < 0 then a shift down of k units

here f(x) is shifted up 2 units , then

g(x) = | x + 5 | + 2

The absolute value equation representing all numbers x whose distance from 5 is 3 units.eiol be x = (-3, 8).

It should be noted that from the information, we are to write an absolute value equation representing all numbers x whose distance from 5 is 3 units.

Therefore, the absolute value equation representing all numbers x will be illustrated as:

x - 3 = 5.

It should be noted that we will solve for x

Therefore, x - 3 = 5

Collect like terms

x = 5 + 3.

x = 8

Therefore, the absolute value equation representing all numbers x whose distance from 5 is 3 units.eiol be x = (-3, 8).

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As A and B are vertical angles, the measures of angle A and B is 98° each.

When two lines collide, vertical angles are created. The angles that are directly opposite one another, out of the four that are generated, are vertical angles. Additionally, they are known as "vertically opposed angles." All of these angles are equal.

Vertical angles are created when two straight lines cross. Angles vertically are consistently congruent and equal. As the two sets of non-adjacent angles created by crossing two lines superimpose on one another, vertical angles are congruent.

As A and B are vertical angles,

6x - 16 = 4x + 22

⇒ 2x = 38

⇒ x = 19

Measure of Angle A is 98°

Measure of Angle B is 98°

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Using the uniform distribution, we have that:

a) The graph is given at the end of the answer.

b) Jayden waits more than 7 minutes 30% of the days.

c) The 38th percentile is of 3.8 minutes.

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

For this problem, the bounds are given as follows:

a = 0, b = 10.

As shown in the graph at the end of the answer.

The probability of waiting more than 7 minutes is:

[tex]P(X > 7) = \frac{10 - 7}{10 - 0} = 0.7[/tex]

Jayden waits more than 7 minutes 30% of the days.

The 38th percentile is x for which P(X < x) = 0.38, hence:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

0.38 = x/10

x = 3.8.

The 38th percentile is of 3.8 minutes.

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The statement which accurately describes the helicopter's force is: C. the toy helicopter is flying forward with a force of 5 N and upward with a force of 5 N.

Newton's Third Law of Motion states that for every action there is an equal but opposite reaction. This ultimately implies that, in every interaction, there is a pair of forces acting on the two interacting objects.

Next, we would determine the resultant forces in the two scenarios as follows:

Resultant force A = Forward force - Wind force

Resultant force A = 15 N - 10 N

Resultant force A = 5 Newton.

Resultant force B = Upward force - Force of gravity

Resultant force B = 10 N - 5 N

Resultant force B = 5 Newton.

In this context, we can reasonably infer and logically deduce that the toy helicopter is flying forward with a force of 5 N and upward with a force of 5 N.

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Answer:

12

Step-by-step explanation:

[tex]Borrow\:2\:from\:"-192"\\|16| \times 1 = 16\\= 16 - 19\rightarrow Remember\:we\:borrowed\:2\\= 3\\Drop\:the\:borrowed\:2\\= 32\\|16| \times 2 = 32\\= 32 - 32\\= 0\\\\= 12\:\sf R0[/tex]

Answer:

12 (please use a calculator next time)

Step-by-step explanation:

When I have to simplify a tough fraction, I like to constantly divide both the numerator and the denominator by 2 until I can no longer do so, as it's a lot easier to divide most numbers by 2.

[tex]\frac{-192}{-16}\\ \\\to \frac{96}{8} \\ \\\to \frac{48}4 \\ \\\to \frac{24}2 \to 12[/tex]

Answer:

z = Fn +s.

Step-by-step explanation:

F = (z - s)/n

z - s = Fn

z = Fn +s.

The cost of service charge using service provider A and service provider B is $58.33 and $105 respectively.

Service provider A:

Service provider B:

Since Raven has a new house

Cost of service charge using service A:

Cost of plumbing : average hours spent

50 : 1.5 = x : 1.75

50/1.5 = x/1.75

cross product

50 × 1.75 = 1.5 × x

87.5 = 1.5x

x = 87.5 / 1.5

x = $58.33

Cost of service charge using service B:

multiplies the exact number of hours spent at a residence by $60.

= 1.75 × 60

= $105

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In the area of the rectangle the value of the k is 6.

According to the statement

We have to find that the value of the k in the area of rectangle.

So, For this purpose, we know that the

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

From the given information:

Two rectangles have the exact same area.The measurements of the first rectangle is 3k by 3 and the measurements of the second rectangle is k+3 by 6.

Then

The area of the first rectangle = 3k*3

The area of the first rectangle = 9k

And

The area of the second rectangle = 6(k+3)

The area of the second rectangle = 6k+18

Then

Compare the both values of the area

6k+18 = 9k

9k - 6k = 18

3k = 18

k = 18/3

k = 6.

So, In the area of the rectangle the value of the k is 6.

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Equation that describes the relationship between a and c is c = 750 / a

The domain of the function is - 5 ≤ a ≤ 50

The range of the function is - 50 ≤ c ≤ 150

Given,

Total money spent is = $750

Thus, our equation become,

ca = 750

solving for c,

c = 750 / a

The domain and range of function is -

a ≤ 5

Now, each award should be less than 50.

= 50 ≤ c

using equation, ac = 750

maximum value for a = 75.

we can say that domain is

5 ≤ a ≤ 50

Finally, by substituting a = 5 we can see that the maximum for c is 150.

This gives range for c as -

50 ≤ c ≤ 150

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Based on the calculations, table B shows a rate that is greater than 1 kilometer per hour.

The average rate of change can be defined as a type of function that describes the average rate at which a quantity decreases or increases with respect to another quantity.

Mathematically, the average rate of change can be calculated by using this formula;

Average rate of change = Δy/Δx = Change in kilometer/Change in hour

For table A, we have:

Rate = kilometer/hour

Rate = (1/5)/(7/5)

Rate = 1/5 × 5/7

Rate = 1/7 kilometer per hour.

For table B, we have:

Rate = (3/4)/(3/8)

Rate = 3/4 × 8/3

Rate = 2 kilometer per hour.

For table C, we have:

Rate = (2/3)/(4/3)

Rate = 2/3 × 3/4

Rate = 1/2 kilometer per hour.

For table C, we have:

Rate = (2/3)/(4/3)

Rate = 2/3 × 3/4

Rate = 1/2 kilometer per hour.

For table D, we have:

Rate = (1/4)/(3/4)

Rate = 1/4 × 4/3

Rate = 1/3 kilometer per hour.

Therefore, table B shows a rate greater than 1 kilometer per hour.

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The factor of the terms ab + bc + b² + ac is ( a + b ) ( b + c ).

Given ab + bc + b² + ac

A factorization is a mathematical object of multiplying several factors usually smaller or simpler objects of the same kind.

To factor the terms we need to write like terms on one side as below

= ab + ac + bc + b²

Separating the common terms as

= a ( b + c ) + b (c + b )

= a ( b + c ) + b ( b + c )

= ( a + b ) ( b + c )

Therefore, the factor of the given terms ab + bc + b² + ac is ( a + b ) ( b + c ).

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Answer:

Angle 2: Acute, supplementary

Angle 5: Obtuse, congruent

Step-by-step explanation:

An acute angle is less than 90 degrees. An obtuse angle is more than 90 degrees. A supplementary angle is an angle equal to 180 degrees when added to another angle. (Angle 1 + angle 2 = 180 degrees.) Congruent angles are equal to each other in degrees. (Angle 5 = angle 8.)

Answer:

3872

Step-by-step explanation:

10,000 - 6,128 = 3872

use calculator man

The total number of half-dollar coins are in $28 given to children who come into your store is 56.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

You have $28, and you want to get half-dollar from the bank to give to children who come into your store.

According to given question we have

Half-dollar from the bank= $28

1/2 =28

1=28*2

1=56

So, the total number of half-dollar coins given to children who come into

your store is 56.

Therefore, the total number of half-dollar coins are in $28 given to children who come into your store is 56.

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Answer:

a) algebraic expression

b) equation

c) numerical expression

Step-by-step explanation:

Hope this helps......if not then sorry for wasting your time and may God bless you<3

The x -intercept of f(x)=x³-x²-1 is x=1.46557.

So, to find the x-intercept of f(x)=x³-x²-1:
To find the x-intercept, substitute y = 0.

Using the long division method, we obtain:

Therefore, the x -intercept of f(x)=x³-x²-1 is x=1.46557.

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The correct question is given below:
What is the x-intercept of f(x)=x³-x²-1? Round the answer to the nearest hundredth.

Answer:

x=12

Step-by-step explanation:

Our equation: 3x + 4= 40

40-4=36. 36/3 = 12

0.7 bar can be expressed as 7/9 in fraction.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction.

In mathematics, a fraction is referred to as a portion of a whole. For instance, if a pizza is cut into four equal pieces, each one is represented by a quarter. Fractions make calculations quicker and easier by making it easier to distribute and judge numbers.

Part of a whole number and a means of dividing a number into equal parts are represented by fractions. The numerator, also known as the number of equally divided parts, is how it is written.

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Answer: donut no

Step-by-step explanation:

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