Assuming that the daily wages for
workers in a particular industry
averages Birr 11. 90 per day and the
standard deviation is Birr 0. 40. If the
wages are assumed to be normally
distributed, determine what percentage
of workers receive wages
A. Between Birr 10. 90 and Birr 11. 90
B. Between Birr 10. 80 and Birr 12. 40
C. Between Birr 12. 20 and Birr 13. 10
D. Less than Birr 11. 00
E. More than Birr 12. 95​

x = number of players on a team

Let's say we're talking about basketball. If each player makes a three-pointer (exactly one per player), then those players will earn 3x points overall. Now let's say the team already has 5 points to start with.

This would mean 3x+5 represents the current number of points.

It takes 1 hour 43 minutes to finish mowing the lawn.

The rate of work done by Gregory and Jennifer finish mowing the lawn in

1 hour 43 minutes.

According to the question

Gregory can mow the family's lawn in 3 hours, she mows at a rate of 1/3 of the lawn per hour(1/3 lawn/hour)

Jennifer can mow it in 4 hours, which means her rate is 1/4 lawn/hour.

Together , their rates are 1/3 + 1/4.

This equals 7/12 lawns/hr.

We want to know how many hours they have to mow in order to mow 1 lawn.

This can be represented by the equation : \(\frac{7}{12} \times x = 1\)

To solve for x, we would divide both sides by 7/12.

This leaves us with x = 12/7 which is 1.714.

Convert 1.714 to minutes by multiplying 60.

This gives you a final answer of about 1 hour 43 minutes.

Hence, It takes 1 hour 43 minutes to finish mowing the lawn.

The rate of work done by Gregory and Jennifer finish mowing the lawn in

1 hour 43 minutes.

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Answer:

B

Step-by-step explanation:

4x+10+6x-10+2x=180°

4x+6x+2x=180°+10-10

12x/12=180°12

x=15° check :

4x+10+6x-10+2x=180° then x=15°

4*15+10+6*15-10+2*15=180°

60+10+90-10+30=180°

180°=180°

The equation representing the value of x is 12x + 20 = 180

A triangle is a polygon with three edges and three vertices.

Given that, a triangle having interiors angles,  2x, 4x + 10 and 6x - 10

We know that, the sum of the interior angles of the triangle = 180°

Therefore,

2x + 4x + 10 + 6x - 10 = 180°

12x + 20 = 180°

Hence, the equation representing the value of x is 12x + 20 = 180

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Given:

The height of the slide from the ground = 12 feet

The angle of depression = 53 degrees

Required:

Find the length of the slide.

Explanation:

The given triangle is the right triangle.

adjacent = 12 ft

we have to find the hypotenuse side.

Let the length of the slide is h ft.

Use the following trigonometric ratio:

Final Answer:

The length of the slide is approximately 20 ft.

The estimated total number of heartbeats in an average lifetime of 68.4 years is 2.9 billion heartbeats. The maximum number of 91 kg people that can safely occupy an elevator is 10 people.  The diameter of human hair is 0.000056 meters.

(a) To estimate the total number of heartbeats in a lifetime, we multiply the heart rate (69.2 beats/minute) by the number of minutes in a year (60 minutes/hour * 24 hours/day * 365.25 days/year) and then multiply by the number of years in a lifetime (68.4 years). The calculation is: 69.2 beats/minute * 60 minutes/hour * 24 hours/day * 365.25 days/year * 68.4 years ≈ 2,886,699,648 beats. Therefore, the estimated total number of heartbeats in an average lifetime is approximately 2.9 billion heartbeats.

(b) To determine the maximum number of 91 kg people that can occupy the elevator, we divide the maximum mass the elevator can hold (1 metric ton or 1000 kg) by the mass of each person (91 kg). The calculation is: 1000 kg / 91 kg ≈ 10.98. Since we can only have whole numbers of people, the maximum number of people that can safely occupy the elevator is 10.

(c) To express the diameter of a human hair in meters, we convert the given diameter of 56 μm to meters by dividing by 1 million (since 1 μm = 1/1,000,000 meters). Therefore, the diameter of human hair is approximately 0.000056 meters.

(d) To convert 74 miles per hour to meters per second, we multiply the given value by the conversion factor 1609 meters/mile and divide by 3600 seconds/hour. The calculation is 74 miles/hour * 1609 meters/mile / 3600 seconds/hour ≈ 33.12 meters/second. Therefore, 74 miles per hour is approximately equal to 33.12 meters per second.

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The width of the planter box needs to be 2 meters, calculated by dividing the area of 15 1/2 \(m^{2}\) by the length of 7 3/4 m.

To find the width of the planter box, we need to use the formula for the area of a rectangle:

A = lw

where A is the area, w is the width, l is the length.

We know the area is 15 1 2 m 2 15 2 1 ​ m 2 15, start fraction, 1, divided by, 2, end fraction, start text, m, end text, squared, and the length is 7 3 4 m 7 4 3 ​ m7, start fraction, 3, divided by, 4, end fraction, start text, m, end text long. Here is the equation to follow:

15 1 2 m 2 = 7 3 4 m × w

To solve for w, we'll isolate it on one side of the equation by dividing both sides by 7 3 4 m 7 4 3 ​ m7, start fraction, 3, 4 divided by start text, m, end text long, end fraction:

w = 15 1 2 m 2 ÷ 7 3 4 m = 2 m

So the width of the planter box needs to be 2 meters.

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To prove that wx is equal to xy, we can use the fact that ox is parallel to zy. By drawing the line oy, we can establish certain geometric relationships.

In the given diagram, we have a circle with wz as its diameter, denoted as 00. We are tasked with proving that wx is equal to xy. To do so, we utilize the hint to draw the line oy. By drawing this line, we establish a few key geometric relationships.

First, since wz is a diameter, it passes through the center of the circle. Let's call this center point C. Since ox is parallel to zy, and oy is a transversal, we can conclude that angles oxy and zoy are alternate angles and therefore congruent.

Since oy is a line passing through the center of the circle, it bisects wz, dividing it into two equal parts. Therefore, we can conclude that wx is equal to xz. Additionally, since angles oxy and zoy are congruent, we can infer that angles oyx and zyx are also congruent.

Now, we can look at the triangle oxy. By the Angle-Side-Angle (ASA) congruence criterion, we can establish that triangles oxy and zyx are congruent. Since corresponding sides of congruent triangles are equal, we can conclude that wx is equal to xy, as desired.

In summary, by drawing oy and establishing congruent angles and congruent triangles, we have proven that wx is equal to xy.

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Answer: One face of a cube has a perimeter of a+a+a+a=4a.

The required perimeter of one of the faces of the cube is 4 units.

Given that,
A cube has a volume of 1 cubic unit. what is the perimeter of one of its faces is to be determined.

Perimeter is the measure of the figure on its circumference.

A cube is defined is a regular 3-dimensional structure whose dimension at every section is identical.

Here,
According to the question,
Area of the square = 1 cubic unit
a² = 1
a = 1
Now,
The perimeter of the square = 4a
                                                = 4 (1) = 4 units

Thus, the required perimeter of one of the faces of the cube is 4 units.

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Answer:

<U=70

Step-by-step explanation:

Straight line=180 degrees

180-120

=60

So, we have 2 angles.

60 and 50

180=60+50+x

180=110+x

70=x

So, U=70

Hope this helps! :)

Answer: x=9,-1

Step-by-step explanation:

First, we are gonna start out with finding two numbers that multiply to equal -9 and add up to equal -8

Those numbers would be -9 & 1

-9+1=-8

-9x1=-9

Now we have

(x-9)(x+1)

x-9=0   x+1=0

 +9 +9   -1  -1

x=9      x=-1

To find the probability of rolling a sum of either 3 or 7, we need to find the number of ways we can get each sum and divide by the total number of possible outcomes. For a sum of 3, the only way to get this is by rolling a 1 and a 2. There are two ways to arrange this: 1-2 and 2-1.


Probability = (Number of desired outcomes) / (Total number of possible outcomes)
Probability = 8 / 36

We can simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 4:

Probability = (8/4) / (36/4)
Probability = 2/9

So, the probability of rolling a sum of 3 or 7 with two dice is 2/9, or approximately 0.222222 as a decimal rounded to the nearest millionth.

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Answer:

it was D

Step-by-step explanation:

teacher told me

Answer:it’s b

Step-by-step explanation:

Answer:

26ft

Step-by-step explanation:

Area of trapezium:

A = ( a + b ) /2 × h

So we know these variables

216  = ( 10 + b) / 2  x  12

216/ 12 = (10 + b) /2

18 x 2 = 10 + b

36 = 10 + b

26 = b

unknown = 26ft

I hope this helped!

The numerical length of GH = 20 units

FH is a line segment.

G is a point on the line segment.

Then G divides the line segment FH into two line segments FG and GH.

We are given the lengths of FH, FG and GH in terms of x.

That is,  FH=4x+8, FG=x and GH=5x

We need to find the numerical length of the line segment GH. We first need to find the x for this.

As G cuts the line segment FH into two parts, the length of the line segment FH is the sum of the lengths of the line segments FG and GH.

That is, FH = FG + GH

⇒ 4x+8 = x +5x

⇒ 4x+8 = 6x

⇒ 2x = 8

⇒ x = 4

So the numerical length of GH = 5x = 5 x 4 = 20 units

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The standard deviation of quiz scores is 0.

To find the standard deviation:

Therefore, the standard deviation of quiz scores is 0.

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Answer:

arc PQ = 124°

Step-by-step explanation:

The inscribed angle PRQ is half the measure of its intercepted arc PQ, so

arc PQ = 2 × 62° = 124°

Answer:

  124°

Step-by-step explanation:

Inscribed angle PRQ is half the measure of intercepted arc PQ.

  1/2(PQ) = 62°

  PQ = 124° . . . . . . multiply by 2

Answer:

Since there are 36 inches in 1 yard,313 by 36 .

So, 313 yards = 11,268 inches.

Step-by-step explanation:

There are 36 inches in one yard

To get your answer, you'll multiply 313 yards by 36 inches

=313×36

=11,268

So 313 yards=11,268 inches

Since there are 36 inches in 1 yard,313 by 36 .

So, 313 yards = 11,268 inches.

Since they are 36 inches in 1 yard,  multiply 313 by 36,  So 313 yards equal 120 inches.

Its actually up the answer but 210 is correct tho

Step-by-step explanation:

I did this question and got it right so dont worry . (savvas Realize)

Answer:

c

Step-by-step explanation:

a. The entire collection of objects being studied is called the population.

b. A small subset from the set of all 2013 minivans is called a sample.

c. Consider the amount of sugar in breakfast cereals. This characteristic of breakfast cereal (objects) is called a variable.

a. Population: The population refers to the entire group or collection of objects, individuals, or units that are of interest in a study. It represents the complete set of items from which a sample is drawn. For example, if you are conducting a study on the heights of all adults in a particular country, the population would consist of every adult in that country.

b. Sample: A sample is a smaller subset or representative portion of the population. It is selected from the larger population with the intention of making inferences or generalizations about the population. Sampling is often done when studying an entire population is not feasible or practical. In the context of the example given, a sample of 2013 minivans could be randomly selected from the entire set of minivans produced in 2013.

c. Variable: A variable is a characteristic or attribute that can vary or take different values within a population or sample. In the given example of breakfast cereals, the amount of sugar is a variable. Variables can be quantitative, such as numerical measurements like weight or height, or qualitative, such as categories or labels like color or brand. In statistical analysis, variables are used to describe and analyze data, and they can be classified as independent variables (predictors) or dependent variables (outcomes).

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Answer:

x = 33

Step-by-step explanation:

(33) + (3 · 33) + (33+15) = 180

Answer:

I=69 t=207 h=84

Step-by-step explanation:

X+3x+(x+15)=360

Combine like terms

5x+15=360

Subtract 15 from both sides

5x=360-15

5x=345

Divide by 5

X=69

Answer:

The slope is 3 and the y-intercept is 2.

Step-by-step explanation:

Slope is 3/1, following the line up 3 and over 1. The line crosses the y-axis at (0,2), so the intercept is 2. The slope-intercept can then be written as y=3x+2.

From the proof of modular congruence below, it has been shown that;

41 ≡ 21 (mod 3).

We want to use the definition of modular congruence to prove that;

41 is congruent to 21 (mod 3) i.e if a ≡ b (mod m) then b ≡ a (mod m).

We are trying to prove that modular congruence mod 3 is a symmetric relation on the integers.

First, if we recall the definition of modular congruence:

For integers a, b and positive integer m,  

a ≡ b (mod m) if and only if m|a–b

Suppose 41 ≡ 21 (mod 3).

Then, by definition, 3|41–21, so there is an integer k such that 41 – 21 = 3k.

Thus;

–(41 – 21) = –3k

So

21 – 41 = 3(–k)

This shows that 3|21 – 41.

Thus;

21 ≡ 41 (mod 3) and the proof is complete

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Answer:

This might be permutation promblem srry if im wrong.

P(6,3)=6x5x4=120

P(4,2)=4x3=12

Answer:

Step-by-step explanation:

1400

Answer:

B

Step-by-step explanation:

f(x) = x+5 when x>0. f(5)=10

The ordered pair (-2, 2) satisfies both inequalities y < -x + 1 and y > x.

The correct option is A: (-2, 2).

To determine which ordered pairs satisfy both inequalities y < -x + 1 and y > x, we need to check each pair's coordinates in both inequalities.

Let's test each ordered pair:

A: (-2, 2)

For y < -x + 1: 2 < -(-2) + 1 → 2 < 3 (True)

For y > x: 2 > -2 → 2 > -2 (True)

B: (1, 1)

For y < -x + 1: 1 < -(1) + 1 → 1 < 0 (False)

For y > x: 1 > 1 → 1 > 1 (False)

C: (0, 0)

For y < -x + 1: 0 < -(0) + 1 → 0 < 1 (True)

For y > x: 0 > 0 → 0 > 0 (False)

D: (-1, -1)

For y < -x + 1: -1 < -(-1) + 1 → -1 < 2 (True)

For y > x: -1 > -1 → -1 > -1 (False)

From the above calculations, we can see that only the ordered pair (-2, 2) satisfies both inequalities y < -x + 1 and y > x. Therefore, the correct answer is option A: (-2, 2).

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The complete question:

Which ordered pairs make both inequalities y < -x + 1 and y > x true?

A: (2, 2)

B: (1, 1)

C: (0,0)

D: (-1, -1)

Answer:

18 × 0.25 = 4.5

Step-by-step explanation:

25% is multiplying by 0.25

Answer:

4.5 inches long

Step-by-step explanation:

25/100*18

18/4

4.5 inches long

Answer:

x=40.25

Step-by-step explanation:

Well you didn't state what the relationships of the angles to each other were but I can only assume that they're the inside of a triangle or vertical angles so you would do

5x+180=9x+19

and then solve and x would equal 40.25

After seven years, the yearly sales are 855,355.65.

A relation is any subset of a Cartesian product.

As an illustration, a subset of is referred to as a "binary connection from A to B," and more specifically, a "relation on A."

A binary relation from A to B is made up of these ordered pairs (a,b), where the first component is from A and the second component is from B.

Every item in a set X is connected to one item in a different set Y through a connection known as a function (possibly the same set).

A function is only represented by a graph, which is a collection of all ordered pairs (x, f (x)).

Every function, as you can see from these definitions, is a relation from X.

the following parameters

a = 650000

r = 4% = 0.04

t = 7

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Answer:

4pi/15=θ  - i think

Step-by-step explanation:

S = r*θ

r=9

s=12pi/5

12pi/5=9*θ

12pi/45=θ

4pi/15=θ