A machine laying underground cable can place 125 meters of cable in 5 minutes What is the rate per minute

The weekly salary based on this annual salary will be $1.102.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Mitchell found a job listed in the classified ads that pays a yearly salary of $57.300.

Now,

Since, Mitchell found a job listed in the classified ads that pays a yearly salary of $57.300.

We know that;

In 1 yea, The number of weeks = 52

Hence, The weekly salary based on this annual salary = $57.300 ÷ 52

                                                                                     = $1.102

Thus, The weekly salary based on this annual salary will be $1.102.

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Answer:

The correct option is B. The absolute value parent function is f(x) = |x|.

Step-by-step explanation:

The absolute parent function is a function where

[tex]f(x)=x[/tex] and [tex]f(-x)=x[/tex]

The graph of absolute function is v-shaped and vertex of the function is (0,0).

According to these conditions the absolute value parent function is

f(x) = |x|

The function f(x) = |x| – 2 shifts 2 units down.

The function f(x) = |2x| stretch by factor 2.

The function f(x) = |x| + 1 shifts 1 units up.

Therefore the correct option is B.

The relationship between the total price and the number of hours worked can be represented by a linear equation. The equation is y = 35x + 55, where y represents the total price and x represents the number of hours worked.

The relationship between the total price of the service call and the number of hours worked can be represented by a linear equation. We can use the formula y = mx + b, where y represents the total price, x represents the number of hours worked, m represents the hourly fee, and b represents the base fee.

In this case, the plumber charges a base fee of $55 and $35 per hour. So the equation that expresses the total price is y = 35x + 55.

The independent variable in this situation is the number of hours worked, which is x. The dependent variable is the total price, which is y. The y-intercept of the equation is 55, which represents the base fee. The slope of the equation is 35, which represents the hourly fee. The y-intercept (b) is the point where the line intersects the y-axis, and the slope (m) determines how steep the line is.

Answer:

-3

Step-by-step explanation:

The given expression is

[tex]-\frac{5}{6}x+7[/tex]

We need to find the value of given expression for x=12.

Substitute x=12 in the given expression.

[tex]-\frac{5}{6}(12)+7[/tex]

Cancel out the common factors.

[tex]-5\times 2+7[/tex]

After multiplication, we get

[tex]-10+7[/tex]

After subtraction, we get

[tex]-3[/tex]

Therefore, the value of given expression for x=12 is -3.

The algebraic expression for the word phrase '9 less than half a number' is x/2 - 9.

To write an algebraic expression for the word phrase '9 less than half a number,' we first need to define a variable to represent the number. Let's say the number is 'x.' Half of 'x' can be written as 'x/2.' Then, we subtract 9 from 'x/2,' which gives us the algebraic expression: x/2 - 9.

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The algebraic expression for '9 less than half a number' is written as 1/2n - 9, where 'n' stands for the number.

To write an algebraic expression for the word phrase '9 less than half a number', you need to break down the phrase into mathematical terms. Firstly, consider 'half a number'; this can be represented as 1/2n where 'n' is the variable representing the number. The phrase '9 less than' indicates a subtraction of '9' from 'half a number'. Therefore, the algebraic expression would be 1/2n - 9.

Final answer:

The probability that a randomly selected worker has one month's income or more set aside for emergencies is approximately 0.479. Given that a randomly selected worker is a male, the probability that the worker has less than one month's income is approximately 0.460. Given that a randomly selected worker has one month's income or more set aside for emergencies, the probability that the worker is a female is approximately 0.446. The events 'having less than one month's income saved' and 'being male' are independent.

Explanation:

To find the probability that a randomly selected worker has one month's income or more set aside for emergencies, we need to divide the number of workers with one month's income or more by the total number of workers. According to the table, there are 76 men and 61 women with one month's income or more, for a total of 137 workers. The total number of workers is 286. So the probability is 137/286, which is approximately 0.479.

Given that a randomly selected worker is a male, we need to find the probability that the worker has less than one month's income set aside for emergencies. According to the table, there are 65 men with less than one month's income. The total number of men is 141. So the probability is 65/141, which is approximately 0.460.

Given that a randomly selected worker has one month's income or more set aside for emergencies, we need to find the probability that the worker is a female. According to the table, there are 61 women with one month's income or more. The total number of workers with one month's income or more is 137. So the probability is 61/137, which is approximately 0.446.

The events 'having less than one month's income saved' and 'being male' are independent. To confirm independence, we need to check if the probability of both events occurring is equal to the product of their individual probabilities. In this case, the probability of having less than one month's income saved is 65/286 and the probability of being male is 141/286. The probability of both events occurring is (65/286) * (141/286), which is approximately 0.126. This is equal to the product of their individual probabilities, confirming that the events are independent.

The pmf of the random variable y = x mod (3) is: P(y=0) = 0.4, P(y=1) = 0.3, and P(y=2) = 0.3.

The random variable y can take on the values 0, 1, and 2, since those are the possible remainder values when x is divided by 3. We need to find the probability mass function (pmf) of y, which represents the probabilities of each possible value of y. The pmf of y can be calculated by finding the probability of each possible value of y based on the probability distribution of x and dividing it by the total number of possible values of x. Since x takes values from 0 to 9 with equal probability, the pmf of y is:

P(y=0) = P(x=0) + P(x=3) + P(x=6) + P(x=9) = 1/10 + 1/10 + 1/10 + 1/10 = 4/10 = 0.4

P(y=1) = P(x=1) + P(x=4) + P(x=7) = 1/10 + 1/10 + 1/10 = 3/10 = 0.3

P(y=2) = P(x=2) + P(x=5) + P(x=8) = 1/10 + 1/10 + 1/10 = 3/10 = 0.3

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Answer:  Option 'b' is correct.

Step-by-step explanation:

Since we have given that

[tex]\frac{11}{20},\frac{1}{2},0.51[/tex]

Now, we have to arrange the set of numbers from least to greatest.

So, for this we have to make the denominator same ,

[tex]\frac{11\times 5}{20\times 5}=\frac{55}{100}[/tex]

Similarly,

[tex]\frac{1\times 50}{2\times 50}=\frac{50}{100}[/tex]

Similarly,

[tex]\frac{51}{100}[/tex]

Numbers In increasing order :

[tex]\frac{50}{100},\frac{51}{100},\frac{55}{100}\\\\\frac{1}{2},0.51,\frac{11}{20}[/tex]

Hence, Option 'b' is correct.

Answer:

[tex]y=\frac{15}{19}x[/tex]

Step-by-step explanation:

Let

x-----> the number of hours that Mitul works

y-----> the hours that Samir works

by proportion

[tex]\frac{x}{y}=\frac{19}{15}\\ \\19y=15x\\ \\y=\frac{15}{19}x[/tex]

Answer:

C.  (16y + 7z)

Step-by-step explanation:

9y + 11z + 7y - 4z

1. Simplify the y's: 9y + 7y = 16y

16y + 11z - 4z

2. Simplify the x's: 11z - 4z = 7z

16y + 7z

Answer:

16y+7z

Step-by-step explanation: no thanks im good

Answer:50 in 1.5 hours.

Step-by-step explanation:

If Joan can do 50 in 3 hours, then in 1 hour, that’s 50/3.  

Jill completes the rest of the 50, so 50-(50/3) is how many letters Jill can type in an hour.  

50-(50/3)=(150/3)-(50/3)=100/3 letters in an hour. If Jill can write 100 letters in 3 hours, then she can write 50 in 1.5 hours.

False, If (7x+4) is a factor of some polynomial function F, then - 4/7 is a zero

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zer then it is confirmed that x - a = 0 is a factor.

Given (7x + 4) is a factor of a polynomial function F.

Then, 7x + 4 = 0.

7x = -4.

x = - 4/7 is a root of the polynomial F or a zero of the polynomial F.

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0.73 =  0.7300 is our answer.

Given,

0.73 and 0.7300

We have to compare these decimal numbers.

< = less than

> = greater than

=  means equal

≤ = less than or equal to

≥ = greater than or equal to

We have,

0.73 = 73 / 100

There are two numbers after the decimal point.

We divide it by 100.

0.7300 = 7300/1000 = 73/100

There are four numbers after the decimal point.

We divide it by 10000.

We see that both the decimal numbers are equal.

Thus 0.73 =  0.7300

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Answer:

Option A is correct

Step-by-step explanation:

I know this because I am in k12 online school and it said it was: The coach received 100 tokens for the amusement park rides. If there are p players on the team, each player will receive 100p tokens. I hope this helps! Have a fantastic day!

Answer:

D) Obtuse

Step-by-step explanation:

Answer:

 cos (A - B) =  cos 6 x

Step-by-step explanation:

given equation,

     = cos 8 x . cos 2 x - sin 8 x . sin 2 x

   using identity

cos (A - B)  = cos (A) . cos(B) -  sin (A) . sin(B)...................(1)

cos 8 x . cos 2 x - sin 8 x . sin 2 x......................................(2)

comparing both the equation (1) and (2)

we get ,

A = 8 x         B = 2 x

hence, from the above identity we can see that

cos (A - B)  = cos (8 x - 2 x)

 cos (A - B) =  cos 6 x