One-eighth of the parts tooled by a machine are rejects. How many parts were tooled
*437 parts were rejected?

Answer: 1.2 x 10^-5

Step-by-step explanation:   Move the decimal 5 times to right in the number so that the resulting number, m = 1.2, is greater than or equal to 1 but less than 10

Since we moved the decimal to the right the exponent n is negative

n = -5

Write in the scientific notation form, m × 10n

= 1.2 × 10-5

Answer:

\(1.2 \mathrm{\;x\;} 10^{-5}\)

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = 1/2 ( a + b)

x = 1/2 (129 + 71)

x = 1/2 (200)

x = 100 °

you just have to remember that formula

The population density of Rio de Janeiro in people per square meter is 5. 377 x 10 ⁻³ people per m²

To find the population density in meters squared when given the population density in kilometers squared, you first need to find the conversion factor between kilometer squared and meters squared.

1 kilometer squared is equal to 1, 000, 000 meters squared.

The population density of Rio de Janeiro in meters squared is therefore:

= Population density in kilometers squared / Conversion factor

= 5, 377 / 1, 000, 000

= 0. 005377

= 5. 377 x 10 ⁻³ people per m²

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The full question is:

In 2016, the city of Rio de Janeiro had a population density of 5377 people/km2.

What was the population density of Rio in people per square meter?

The solution in interval notation is; (-∞,  49/2).

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

To solve the equation 5/16x - 7/4 < 3/4x + 21/2, we can simplify both sides:

5/16x - 7/4 < 3/4x + 21/2

Combining like terms:

5/16x  -3/4x  < 21/2 + 7/4

8/16x < 49/4

1/2x < 49/4

Simplifying the fraction;

x < 49/2

Therefore, the solution in interval notation is (-∞,  49/2).

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For the given question, we will find the functions that have an x-intercept at (0, 0)

So, we will substitute x = 0 and check which function will give f = 0

A) F(x) = x²

when x = 0, F = 0

B) F(x) = |x|

when x = 0, F = 0

C) F(x) = 1/x

We can not substitute x = 0, because it is a rational function and x = 0 is the zero of the denominator

D) F(x) = ∛x

when x = 0, F = 0

E) F(x) = x

when x = 0, F = 0

F) F(x) = x³

when x = 0, F = 0

So, the answer will be:

Select the options: A, B, D, E, F

Answer: Shade 6 pieces

Step-by-step explanation:

Because 2/5 of 15 is 6

Answer:

- 5/4

Step-by-step explanation:

exact form:-5/4

decimal form:-1.25

mixed number form: -1 1/4

The probability of getting 21, when first card is an ace and the second card is a queen = 0.024133.

The term blackjack means that you get a value of 21 with only two cards.

Number of cards in a deck of cards = 52

There are 4 types of cards in a deck of cards - spades, clubs, hearts, and diamonds, out of which spades and clubs are black in colour.

Given that first card is Ace and second one is a Queen.

Odds of getting an Ace are 4/52, odds of the next being Queen is 16/51.

P(blackjack)=4×16/(52/2).

where P is used for probability .

Probability: Probability is simply how likely something is to happen. Whenever we are unsure about the outcome of an event, we can talk about the probabilities of certain outcomes. The analysis of events governed by probability is called statistics.

Probability of getting an ace followed by a queen card: 4/52 * 16/51 = 0.024133.

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Given that g(x) =f(kx). The graph of function g is graph Z Because the graph a function g is the result of a horizontal compression applied to the graph of function F.

A graph can be described  as a pictorial representation or a diagram that represents data or values in an organized manner.

The graph of the function g(x) = f(kx) is obtained from the graph of f(x) by a horizontal compression or stretching, depending on the value of k.

In conclusion, If k is greater than 1, then the graph of g(x) is obtained from the graph of f(x) by a horizontal compression.

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Step-by-step explanation:

I hope this answer is helpful ):

The points on a parabola with the focal axis parallel to the abscissa axis, of parameter p and A, B is -12.

Since A and B are points on the parabola, write two equations using the general form of the parabolic equation:

(x - h)² = 4p(y - 1)

The focal axis is parallel to the x-axis, so the distance from the vertex to the focus is equal to p. Therefore, use the distance formula to write an equation for the distance between the vertex and point A:

√((13 - h)² + (a - 1)²) = p

Similarly, write an equation for the distance between the vertex and point B:

√((4 - h)² + (b - 1)²) = p

A and B lie on the line 2x - y - 13 = 0, so substitute the x and y coordinates of A and B into this equation and solve for a and b:

2(13) - a - 13 = 0

2(4) - b - 13 = 0

Solving these equations gives us a = 3 and b = -5.

Now three equations and three unknowns (a, b, and h):

√((13 - h)² + 4) = p + 1

√((4 - h)² + 36) = p + 1

2h - 3 - 13 = 0

The third equation simplifies to 2h = 16, or h = 8.

Substituting this value of h into the first two equations and squaring both sides:

(13 - 8)² + 4 = (p + 1)²

(4 - 8)² + 36 = (p + 1)²

Simplifying these equations and solving for p gives us p = 3.

Finally, find a" + bP by substituting the values found for a, b, and p:

a" + bP = 3 + (-5)(3) = -12

Therefore, the solution is a" + bP = -12.

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Answer:2.8

Step-by-step explanation:add 3.5 to the 10.5 which equals 14 then you divide 5 by 14 to get the y alone and it equals 2.8

Work Shown:

8 lawns = 2 hours

4 lawns = 1 hour (divide both sides by 2)

20 lawns = 5 hours (multiply both sides by 5)

Answer: 20 Lawns

If he mows 8 lawns in a span of 2 hours that means he mows 4 lawns in 1 hour. 4 * 5 is 20

Answer:

c) X - 5 1/2= 3 1/2

Step-by-step explanation:

only one that is relating to the question

The answer of the given question based on Statistics to find minimum monthly premium payments is option D) Plan 2, since it has lower monthly premium payments.

Probability is  measure of  likelihood or chance of an event occurring. It is expressed as  number between 0 and 1, where 0 indicates an impossible event and 1 indicates  certain event

Assuming that the coverage details are similar, we can compare the monthly premium payments for each plan based on the different categories of coverage:

Individual: Plan 1 has a monthly premium of $87.32, while Plan 2 has a monthly premium of $11.77. Therefore, Plan 2 has the lower monthly premium for this category of coverage.

Individual+Spouse: Plan 2 has a monthly premium of $735.00, while Plan 1 has a monthly premium of $890.00. Therefore, Plan 2 has the lower monthly premium for this category of coverage.

Individual+Child: Plan 2 has a monthly premium of $606.00, while Plan 1 has a monthly premium of $750.00. Therefore, Plan 2 has the lower monthly premium for this category of coverage.

Individual+Family: Plan 2 has a monthly premium of $1,400.00, while Plan 1 has a monthly premium of $1,600.00. Therefore, Plan 2 has the lower monthly premium for this category of coverage.

Based on these comparisons, we can see that Plan 2 has a lower monthly premium for all categories of coverage. Therefore, the answer is option D: Plan 2, since it has lower monthly premium payments.

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Answer:

C

Step-by-step explanation:

Using the concept of the discriminant of a quadratic equation, the correct option is:

A. The quadratic equation has one real number root.

--------------------------

A quadratic equation is given by:

\(y = ax^2 + bx + c\)

The discriminant is:

\(\Delta = b^2 - 4ac\)

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Answer: are there possible choices to choose from

Step-by-step explanation:

\(\large{\boxed{ \ g(x) = -\dfrac{7}{4} | x -5| +0 \ }}\)

Absolute value of a graph formula:

Identify the vertex : (h, k) = (5, 0)

Take two points : (5, 0), (9, -7)

\(\sf Find \ slope \ (a) : \sf \ \dfrac{y_2 - y_1}{x_2- x_1} \ = \ \dfrac{-7-0}{9-5} \ = \ -\dfrac{7}{4}\)

Join the variables together:   \(\bf g(x) = - \dfrac{7}{4} | x -5| +0\)

Answer:

\(f(x) = -\dfrac{7}{4}|x-5|+0 \)

Step-by-step explanation:

The function in the coordinate Plane is an absolute value function . Consider the parent function

\(f(x) = |x| \)

Recall the properties of transformation

From the inspection of the graph,It has moved to right by 5 units, Thus

\(f(x - 5) = |x - 5| \)

Apparently, It has neither shifted up or down, hence

\(f(x - 5) +0= |x - 5|+0 \)

Looking at the graph, we can see that it has been reflected vertically. It tells us we have to multiply it by a negative constant

\( -a f(x - 5) +0= -a |x - 5| +0\)

take (9,7) to figure out a.

\( -a | 9- 5| =7\)

Solving the equation yields:

\( \boxed{a = - \frac{7}{4} }\)

hence, our function is \(\boxed{f(x) = -\dfrac{7}{4}|x-5|+0} \)

Answer:

its 1,645.32

Step-by-step explanation:

search one twelfth of 3,478.50, then one twelfth of 1,186 and add those answers with 1,645.32

Answer: If Michael had 7 gum packets and ate 4, he would have 7 - 4 = 3 gum packets left.

If he then bought 1 more, he would have 3 + 1 = 4 gum packets.

Step-by-step explanation:

Answer:

just multiply all the sides 20 x 8 x12

An example of a geometric progression is:

3, 9, 27, 81, 243, 729, ....

Here, common ratio is 3. That is when we multiply the preceding digit with 3, we get the succeeding digit.

A sort of sequence known as geometric progression (GP) is one in which each following phrase is created by multiplying each preceding term by a fixed number, or "common ratio." This progression is sometimes referred to as a pattern-following geometric sequence of numbers. Here, each phrase is multiplied by the common ratio to generate the subsequent term, which is a non-zero value.

This is the general form of Geometric Progression:

a, ar, ar2, ar3, ar4,…, arn-1

Formula to find the nth term in a GP is:

an = tn = arn-1

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Answer:

C

Step-by-step explanation:

Answer:

y = 30 + 3.25c

(where y is the total cost in dollars, and c is the number of balloon bouquets)

Step-by-step explanation:

Let y = total cost (in dollars)

Let c = number of balloon bouquets

Given:

⇒ y = 30 + 3.25c

Y inetercept:-

Rate of change=3.25

So

Cost be Y

Answer:

In exponentials, the base is any positive constant not = 1, and the power is the variable x (any real number), or a function of x. So as x increases, a^x is raised to higher and higher powers of a. To compare, say, 2^x and x^2; in x^2, as x increases to x+1, y increases to x^2+2x+1.

hope it helps :)

Domain: All real numbers or (-infinity, infinity)

Range: [-8, infinity)

\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

a. \(\frac{1}{15}\)

b. \(\frac{2}{5}\)

c. \(\frac{14}{15}\)

d. \(\frac{8}{15}\)

Step-by-step explanation:

Given that there are two laptop machines and four desktop machines.

On a day, 2 computers to be set up.

To find:

a. probability that both selected setups are for laptop computers?

b. probability that both selected setups are desktop machines?

c. probability that at least one selected setup is for a desktop computer?

d. probability that at least one computer of each type is chosen for setup?

Solution:

Formula for probability of an event E can be observed as:

\(P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}\)

a. Favorable cases for Both the laptops to be selected = \(_2C_2\) = 1

Total number of cases = 15

Required probability is \(\frac{1}{15}\).

b. Favorable cases for both the desktop machines selected = \(_4C_2=6\)

Total number of cases = 15

Required probability is \(\frac{6}{15} = \frac{2}{5}\).

c. At least one desktop:

Two cases:

1. 1 desktop and 1 laptop:

Favorable cases = \(_2C_1\times _4C_1 = 8\)

2. Both desktop:

Favorable cases = \(_4C_2=6\)

Total number of favorable cases = 8 + 6 = 14

Required probability is \(\frac{14}{15}\).

d. 1 desktop and 1 laptop:

Favorable cases = \(_2C_1\times _4C_1 = 8\)

Total number of cases = 15

Required probability is \(\frac{8}{15}\).