Which of the following graphs represents the equation x-5y=27

The probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001

In a series of 36 trials, if the subject is guessing randomly, then the probability of correctly guessing odd or even is 1/2.

Let X be the number of correct guesses in a series of 36 trials. X follows a binomial distribution with parameters n = 36 and p = 1/2.

The probability of guessing more than 20 correct is:

P(X > 20) = 1 - P(X ≤ 20)

Using a binomial distribution table, we can find that P(X ≤ 20) = 0.9999 (rounded to four decimal places).

Therefore: P(X > 20) = 1 - 0.9999 = 0.0001

So the probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001 (rounded to four decimal places).

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The solutions to the equation on the given interval are;

x = π/4, 3π/4, 5π/4, 7π/4.

Given that;

4(sin x)² - 2 = 0

Add 2 to both sides and divide both sides 4

4(sin x)² - 2 + 2  = 0 + 2

4(sin x)²  = 2

(4(sin x)²)/4  = 2/4

(sin x)²  = 1/2

Square both sides

√((sin x)²)  = ±√(1/2)

sin x = ±√(1/2)

sin x = ±(√2)/2

Next, we solve for x

Not that 180° = π

x = sin⁻¹ ( (√2)/2 ) = 45° = 180°/4 = π/4

x = π/4

Since the sine function is positive in the first and second quadrant, we subtract the reference angle from π to find the solution in the second quadrant.

x = π - π/4

x = 3π/4

Now, we find the period of sin x

2π / |b|

We know that, the distance between a number and zero is 1

2π / 1

2π

Hence, period of sin x function is 2π, values will repeat every 2π radians in both direction.

Since sine function is negative in third and fourth quadrant,

x = 2π + π/4 + π

x = 5π/4

Now, add 2π to every negative angle to get a positive angle

x = 2π + ( - π/4 )

x = 2π×4/4 - π/4

x = ((2π × 8) - π ))/4

x = (8π - π)/4

x = 7π/4

Therefore, the solutions to the equation on the given interval are;

x = π/4, 3π/4, 5π/4, 7π/4.

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Answer:

40 students

Step-by-step explanation:

and all the frequencies

there should one student per tally mark because the tally is measuring grades

Hope that helped!!! k

Answer:

\(\Huge \boxed{40}\)

Step-by-step explanation:

Adding all the frequencies in the frequency distribution gives the total number of students.

\(6+10+8+9+7=40\)

The number of students in class VIII whose marks obtained in an examination are 40.

Answer:

It is -63

Step-by-step explanation:

What you add to a number to get zero. The negative of a number.

Are the proof and the identity valid? if not, what is the invalid step in the proof

Step 1: x (9x+3) +3(x+3)=9x²+6x+9

Step 2: =(3x+3)²

Step 3: =(3(x+1))²

Step 4: =9(x+1)²



A) the proof is valid

B) step 2 is not valid

C) step 1 is not valid

D) step 3 is not valid​

Verify each step

step 1

x (9x+3) +3(x+3)

=9x^2+3x+3x+9

=9x^2+6x+9

step 1 is correct

step 2

Complete squares

9x^2+6x+9=0

Factor 9

9(x^2+6/9x)+9=0

9(x^2+2/3x)+9=0

9(x^2+2/3x+4/36-4/36)+9=0

9(x^2+2/3x+4/36)+9-1=0

9(x^2+2/3x+4/36)+8=0

9(x+2/6)^2=-8

therefore

Answer:

log 550 = a + b + 1

Step-by-step explanation:

Given;

log 5 = a

log 11 = b

Log 550 can be expressed as follows;

Log 550 = log(5 x 11 x 10)

               = log 5 + log 11 + log 10

               = log 5 + log 11 + 1

              = a + b + 1

Therefore, log 550 can be expressed as a + b + 1

The linear function that predicts the number of calculators sold per week (y) at a price of x dollars is, y = -400x + 46,000

To determine a linear function that predicts the number of calculators sold per week at a certain price, we can use the given information. Let's assign "x" as the price of the calculator and "y" as the number of calculators sold per week.
We have two data points:
At a price of $90, 10,000 calculators are sold per week.
At a price of $85, 12,000 calculators are sold per week.
Using these two points, we can find the slope of the linear function:
Slope (m) = (change in y) / (change in x)
= (12,000 - 10,000) / (85 - 90)
= 2,000 / -5
= -400
Now, let's use one of the data points to find the y-intercept (b):
Using the point (x, y) = (90, 10,000):
y = mx + b
10,000 = -400(90) + b
10,000 = -36,000 + b
b = 46,000
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The monthly price increase is the difference between the old price and the new price, multiplied by 1.8%. The monthly price increase is:

35.62 - 34.84 = 0.78 dollars.

Two expressions joined by an equal sign form a mathematical statement known as an equation. An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7. Mathematical equations with two expressions on either side of the "equal to" sign are referred to as simple equations.

The monthly price increase is the difference between the old price and the new price, multiplied by 1.8%:

35.62 - old price = new price * 1.8%

35.62 - old price = 0.018 * old price

To solve for the monthly price increase, we'll isolate the old price:

35.62 / (1 + 0.018) = old price

35.62 / 1.018 = old price

34.84 = old price

So the monthly price increase is:

35.62 - 34.84 = 0.78 dollars.

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Complete question is: A mobile phone company increases its monthly prices by 1.8% to 35.62. How much is the monthly price increase?

Answer: 140

Step-by-step explanation:

The measure of the other arc, say y, enclosed by the two secants can be found by:

\(\frac{1}{2}(30^{\circ}-y^{\circ})=10^{\circ}\\30^{\circ}-y^{\circ}=20^{\circ}\\y=10^{\circ}\)

So the measure of the 30-degree arc, y, and X is 180 degrees (since it's half of the circumference). This means X = 180 - 30 - 10 = 140.

The number, n which is 24% of 100 as required in the task content is; n = 0.24 × 100.

It follows that the required number is to be 24% of 100, hence, the number can be represented as follows;

24% of 100

= (24/100) × 100

= 0.24 × 100

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Answer:

2x

Step-by-step explanation:

5, 10, 20, 40, 80

each step is multiplying by 2, therefore the sequence is 2x

Answer:

A.) The original line and the new line are the same.

Step-by-step explanation:

If a horizontal line is translated in any way to the left or right, it is the same line. This is because lines travel infinitely in either direction and translating a line left or right does nothing to the line. If the line were translated in any vertical arrangement, the line would be the same slope, but rather than being identical, it would be parallel.

Answer:

Sum = 900°

Step-by-step explanation:

Sum  of interior angles = 180·(n-2),

where n is the number of sides the polygon has

Sum = 180·(7-2)

Sum = 180·5

Sum = 900°

Answer: angle q is congruent to angle p

Step-by-step explanation:

congruent means same size shape, ect....

Answer:

  c. x about 57/16

Step-by-step explanation:

You have not specified the algorithm you use for one iteration. We will define it as follows:

The starting point is a pair of numbers that are upper and lower bounds on the solution. The iteration ends when a new value replaces one of these bounds. The final estimate of the root will be the average of the latest upper and lower bounds.

__

The given graph shows suitable initial bounds are 3 and 4. The sign of h(x) = f(x)-g(x) matches the sign of h(3) when x=7/2, so the value 7/2 will replace the lower bound at the end of iteration 1.

The new average of upper and lower bounds is (7/2 +4)/2 = 15/4. The sign of h(15/4) matches the sign of h(4), so 15/4 becomes the new upper bound at the end of iteration 2.

The new average of the bounds is (7/2 +15/4)/2 = 29/8. The sign of h(29/8) matches the sign of h(15/4), so 29/8 becomes the new upper bound at the end of iteration 3.

After 3 iterations, the bounds are 7/2 and 29/8. The average of these values is the approximate solution to the equation:

  x = (7/2 +29/8)/2 = 57/16

_____

Additional comment

We have tried to be clear about what we consider to be one iteration, and how a root approximation is arrived at. The definition of these things provided by your curriculum materials may be different.

The ordered pairs for the equation y = -7x + 8 are (0, 8), (1, 1), and (-1, 15).

To find ordered pairs for the equation y = -7x + 8, we can substitute different values of x and solve for y.

Let's choose three values of x:

When x = 0, y = -7(0) + 8 = 8. So one ordered pair is (0, 8).

When x = 1, y = -7(1) + 8 = 1. So another ordered pair is (1, 1).

When x = -1, y = -7(-1) + 8 = 15. So another ordered pair is (-1, 15).

Therefore, the ordered pairs  are (0, 8), (1, 1), and (-1, 15).

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Answer: 28.25%

Step-by-step explanation:

113/400=0.2825=28.25%

So, here we have the point:

This is situated at the quadrant II.

Remember that sin(a) is a relation between the opposite side of the angle a and the hypotenuse of the triangle.

To find the hypotenuse, we apply the Pythagorean Theorem:

Notice that as this point is in the unit circle, the hypotenuse is 1.

Now,

And,

There will be no change in the price of the car.

A number line is a representation of a graduated straight line used to abstract real numbers in elementary mathematics. Its points are considered to correspond to real numbers and vice versa.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Let the sticker price = x, Price reduced by $300

Hence the new price is,

N= x-$300

The cost of additional features = $900

Hence the new price for selling will be.

=x-$300+$900

=x+$600

Dealer also provides a discount of $600

Hence Final  selling price will be

=x+$600-$600

Hence there seems to be no change in the sticker price as the sticker price and the final selling price are the same.

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We have

FL=LY =8.06

we need to find

w,x,y

w=4cm

x is the same angle we have so

x=30°

y is the missing angle

the interior angles of the triangles must sum 180°

angle x +90° + angle y=180°

y=180-90-30

y=60

Answer:

20pi or 62.83

Step-by-step explanation:

when r=4

pi r^2

16pi

when r=6

pi r^2

36pi

36pi-16pi=20pi or 62.83

hindsight and then you can you please go see me a few minutes away for my birthday bye day and then go see my doctor tomorrow and get a call

Answer:

Multiply  

634  by  − 11.5 =− 7291

Step-by-step explanation:

that's the answer

Step-by-step explanation:

Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.

To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.

Perimeter = 13.3 mm + 5.5 mm + X mm

The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.

To find X, we can subtract the sum of the known sides from the perimeter:

X mm = Perimeter - (13.3 mm + 5.5 mm)

Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.

Answer:

A. the angular speed is 3771.4 rad/min

b. 5921 rpms

Step-by-step explanation: I just got this same question right on a test.