1. Convert the following improper fractions to mixed numbers; a. 55
2
b. 43 3
2. Convert the following mixed numbers to improper fractions; a. 72
5
b. 121 2
[1]
[1]
[1]

Answer:

The probability that a candidate has less than 4 errors is 0.40

Step-by-step explanation:

Given

[tex]n(S)= 20[/tex] --- candidates

See attachment for histogram

Required

[tex]P(x < 4)[/tex]

From the attached histogram, the errors less than 4 are: 0 or 1 and 2 or 3

And the corresponding frequencies are: 5 and 3, respectively.

So:

[tex]P(x < 4) = P(0\ or\ 1) + P(2\ or\ 3)[/tex]

This gives:

[tex]P(x < 4) = \frac{n(0\ or\ 1)}{n(S)} + \frac{n(2\ or\ 3)}{n(S)}[/tex]

Substitute 5, 3 and 20 for n(0 or 1), n(2 or 3) and n(S), respectively

[tex]P(x < 4) = \frac{5}{20} + \frac{3}{20}[/tex]

Take LCM

[tex]P(x < 4) = \frac{5+3}{20}[/tex]

[tex]P(x < 4) = \frac{8}{20}[/tex]

[tex]P(x < 4) = 0.40[/tex]

Answer:

y = -3/2x + 1 1/2

Step-by-step explanation:

the slope would be -3/2 because you have to find the reciprocal and switch the sign. To find the y intercept you would plug in the points to the equation.

6 = -3/2(-3) + b

6 = 4.5 + b

1.5 = b

Answer:

Correct Answer: 45 candidates

Step-by-step explanation:

Since 12% + 28% = 40%

40% of (75) = is 30 Candidates are selected\on hold and (45 candidates Are Rejected)

Hope this helped :)

The number of rejected will be 45 candidates. The correct option is A.

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that at a walk-in interview, 12% of candidates can be selected, and 28% of candidates can be put on hold for the next hiring date. 75 candidates are interviewed,

The number of rejected candidates will be calculated as below:-

Total candidates = 12% + 28% = 40%

40% of (75) =30

Rejected candidates = 75 - 30 = 45

Therefore, the number of rejected will be 45 candidates. The correct option is A.

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The nth term of the following sequence is: 5n²

Arithmetic sequence is a sequence where each consequtive term has a common constant difference.

An arithmetic sequence, therefore, is defined by two parameters, viz. the starting term and the common difference.

We are given the sequence are;

5, 20, 45, 80, 125

The quadratic sequence formula : an²+bn+c

2nd difference 2a = 10

a = 5

1st difference 3a+b = 15

Then substitute 5

3(5)+b = 15

b = 0

The nth term rule : a + b + c = 5

Now substitute a and b values into equation

5 + 0 + c = 5

c = 0

The nth term is: 5n²

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Answer: true

Step-by-step explanation:

Answer: To find out how much medication the patient receives each day, you need to determine the patient's weight in kilograms and then calculate the total dosage per day.

You can convert the patient's weight from pounds (lb) to kilograms (kg) by dividing the weight by 2.2.

So,

315/2.2 = 142.72 kg

Next, we can use this weight to determine the dosage per day:

3 mg/kg * 142.72 kg = 428.16 mg

Now, since the physician ordered twice a day, we will multiply the dosage per day with 2:

428.16 mg * 2 = 856.32 mg

So the patient receives 856.32 mg of medication each day.

Step-by-step explanation:

As seen in the illustration, the polygon's surface area is 12 + 4√5 square units.

Therefore the correct option is C) 12 + 4√5 square unit

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Answer: [tex]y=2x-11[/tex]

Step-by-step explanation:

Given

The line has a slope of 2 and passes through (3,-5)

Using slope point form that is

[tex]\Rightarrow \dfrac{y-y_1}{x-x_1}=m[/tex]

Insert values

[tex]\Rightarrow \dfrac{y-(-5)}{x-3}=2\\\\\Rightarrow y+5=2x-6\\\Rightarrow y=2x-11\ or\ 2x-y=11[/tex]

Answer: The solution to the system of equations is (1/3,-4/3).

Step-by-step explanation: Yes

Answer:

That's the surface area........

Answer:

Area of polygon[20 sides] = 1,140 inch² (Approx.)

Step-by-step explanation:

Given;

Number of sides = 20 sides

Length of each side = 6 inch

Find:

Area of polygon[20 sides]

Computation:

Perimeter of polygon[20sides] = 20 x Length of each side

Perimeter of polygon[20sides] = 20 x 6

Perimeter of polygon[20sides] = 120 inch

Apothem[Shortest distance from center] = S / 2tan[180/n]

Apothem[Shortest distance from center] = 6 / 2tan[180/20]

Apothem[Shortest distance from center] = 6 / 2tan[9]

Apothem[Shortest distance from center] = 18.94

Apothem[Shortest distance from center] = 19 inch (Approx.)

Area of polygon[20 sides] = [Perimeter x Apothem] / 2

Area of polygon[20 sides] = [120 x 19] / 2

Area of polygon[20 sides] = 1,140 inch² (Approx.)

9514 1404 393

Answer:

  x = 1

Step-by-step explanation:

The graph of f(x) has a relative minimum where its first derivative (f'(x)) is zero and its second derivative (f''(x)) is positive. (Function f(x) is concave upward when f''(x) > 0.) Since the second derivative is the slope of the first derivative, this means the local minimum will be at the x-value where f'(x) = 0 and is crossing the x-axis from below.

The graph of f'(x) shows a local minimum at x = 1.

__

Desmos does not allow us to define f'(x) directly, so we have called it f₁(x). The function f(x) is the integral of that—shown as the dashed orange line. We wanted you to see the f(x) curve so you could see it has a local minimum at x=1.

Answer:

C - 2[tex]\frac{1}{2}[/tex] hours

Step-by-step explanation:

8[tex]\frac{1}{2}[/tex] - 6 = 2[tex]\frac{1}{2}[/tex].

Please review the analysis for the dependent and independent variables. Equation: The total probability for the number w=160 m on the chart is 160 m.

Equation w=160 m.w (words) equals 160 words in the first minute and 320 words in the next two minutes. 800 words in five minutes, 480 words in three minutes, and 640 words in four minutes. The probability of A or B is equal to p(A or B) = p(A) + p(B) if occurrences A and B are mutually exclusive (B).

The steps listed below can be used to determine an event's likelihood: Step 1: Identify an event that has only one outcome. Step 2: Compile a list of all potential outcomes, including any positive ones. Step 3: Subtract the number of favourable outcomes from the total number of outcomes that are feasible. A probability is a number that expresses the possibility or likelihood that a specific event will take place.

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Answer:

x = 20°

Step-by-step explanation:

Angles on a straight line = 180°

Therefore,

3x° + 80° + 2x° = 180°

Add like terms

5x + 80 = 180

Subtract 80 from each side

5x + 80 - 80 = 180 - 80

5x = 100

Divide both sides by 5

5x/5 = 100/5

x = 20°

The volume of adrenaline you want is 0.25mL

From the question, we have the following parameters that can be used in our computation:

Amount to give = 250 mcg of adrenaline

Available = 1 mL of 1 : 1000 of adrenaline

The expression 1 mL of 1 : 1000 of adrenaline means that

1:1000 contains 1 mg in 1 mL (i.e. 1000 microgram/mL)

So, we have

Available = 1 mL * 1000 microgram/mL

Evaluate

Available = 1000 micrograms

This can be expressed as

Available = 1000 mcg

So, we have

Amount to give = 250 mcg of adrenaline

Available = 1000 mcg of adrenaline

When converted to mL, we have

Available = 1 mL of 1 : 1000 of adrenaline

Divide by 4

Amount = 1 mL of 1/4 : 1000/4 of adrenaline

Evaluate

Amount = 1 mL of 1/4 : 250 of adrenaline

This implies that

Amount = 1 mL of 1/4

Evaluate

Amount = 0.25 mL

So, the amount is 0.25 mL

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Answer:

s = 8t

Step-by-step explanation:

.............................

Answer:

i cant see it

Step-by-step explanation:

Answer:

A. cone Z

B. cylinder Y

Step-by-step explanation:

The figures cone Z and cylinder Y have the same volume.

Answer:

How many feet does a car travel in 1 second if it is moving at a rate of 75 mph? So you're going 110 ft per second. In other words, the car travels 110 feet in 1 second (and does so each second assuming you maintain the speed of 75 mph).

The distance (in feet) travelled by the car moving at 75 mph in one second is 110 feet

Speed is the distance travelled per unit time. Mathematically, it can be expressed as:

Speed = distance / time

1 mph = 1.467 fps

Therefore,

75 mph = 75 × 1.467

75 mph = 110.025 fps

Distance = speed × time

Distance = 110.025 × 1

Distance ≈ 110 feet

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Answer:

L.4118.36.

Step-by-step explanation:

Para determinar en cuánto se convertirán L.3000 en 4 años al 8% de interés compuesto anual capitalizable por trimestres se debe realizar el siguiente cálculo de interés compuesto:

3000 x (1 + 0.08 / 4)^4x4 = X

3000 x (1 + 0.02)^16 = X

3000 x 1.02^16 = X

3000 x 1.3727 = X

4118.357 = X

Por lo tanto, tras 4 años de inversión al 8% de interés compuesto anual capitalizable por trimestres, la inversión valdrá L.4118.36.

Answer:

H=12

Step-by-step explanation:

Answer: 60.2 inches

The perimeter of the triangle is 80.24 inches.

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

Given:

Altitude = 24 inches

Base = 11 inches

Half of the base = 11/2 = 5.5 inches

Using Pythagoras theorem:

Hypotenuse = √(24² + 5.5²)

Hypotenuse = √(576+ 30.25)

                     = √606.25

                     =  34.62 inches

Now, perimeter of a triangle

= (base + side 1 + side 2)

= (11 + 34.62+ 34.62)

= 80.24 inches

Hence, the perimeter of the triangle is 80.24 inches.

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Answer:

c

Step-by-step explanation:

because it is yhe smaller temmpertatuer

Answer:

C. >

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

[tex]distance = \sqrt{ {( - 3 - ( - 3))}^{2} + {(4 - 0)}^{2} } \\ = \sqrt{16} \\ = 4 \: units[/tex]

To write the equation of a line that goes through the point (3,2) and has a y-intercept of 1, we can use the point-slope form of a line. The point-slope form is:

y - y1 = m(x - x1)

Where (x1, y1) is a point on the line, and m is the slope of the line. The slope is a measure of the steepness of the line, and it is calculated as the rise (the change in y) over the run (the change in x).

To find the slope of the line, we can use the two points (3,2) and (3,1). The rise is 1 - 2 = -1 and the run is 3 - 3 = 0, so the slope is -1/0, which is undefined. This means that the line is a vertical line and does not have a slope.

Since the line is a vertical line, we cannot use the point-slope form to write its equation. Instead, we can use the slope-intercept form, which is:

y = mx + b

Where m is the slope of the line and b is the y-intercept. In this case, the slope is 0 (since the line is vertical), and the y-intercept is 1, so the equation of the line is:

y = 0x + 1

To write the equation of a line that is perpendicular to line a and goes through the point (-4,2), we need to find the slope of line a. Since line a is a vertical line, its slope is undefined. However, we know that the slope of a line perpendicular to it must be 0.

Using the point-slope form, the equation of line b is:

y - 2 = 0(x - (-4))

Simplifying, we get:

y = 0x + 2

So, the equation of line b is:

y = 0x + 2

Answer:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say I love u

Step-by-step explanation:

The new expression is -12/(x - y) and the domain is x ≠ y

From the question, we have the following parameters that can be used in our computation:

12/(y - x)

Multiply the fraction by 1

So, we have the following representation

12/(y - x) * 1

Express 1 as -1/-1

This gives

12/(y - x) * -1/-1

So, we have

-12/(x - y)

It should be noted that the domain remains the same

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Answer:

3

Step-by-step explanation:

like you said don't explain

Answer:

c

Step-by-step explanation

120/1000 people bought 8 dollar ice cream. 120/1000 = 0.12 = 12% so 12% of 10000 is 1200