A teacher designs a test so a student who studies will pass 90% of the time, but a student who does not study will pass 11% of the time. A certain student studies for 85% of the tests taken. On a given test, what is the probability that student passes?

The area that will be painted grey is approximately 38 ft².

The circumference of the free-throw circle is given as 30.77 feet, and we know that the free-throw circle is a perfect circle. We can use the formula for circumference to find the radius of the circle, which will be necessary to calculate its area.

Circumference of a circle = 2πr

30.77 = 2 x 3.14 x r

r = 30.77 / (2 x  3.14) = 4.9 feet

Half of the circle will be painted grey. Find the area of half the circle using the formula for the area of a circle.

Area of a circle = π x r²

Area of half the circle = 0.5 x  π x r²

Area of half the circle = 0.5 x 3.14 x 4.9²

Area of half the circle = 37.73 ft²

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The solution for f(3) in the function f(x) = 7x² - 2x is 57

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

F(X) = 7x2-2x

To make the equation legible, we need to rewrite it

So, we have the following representation

f(x) = 7x² - 2x

Also from the question, we have

f(3)

This means that the value of x is 3, and we calculate f(x) when x = 3

Substitute the known values in the above equation, so, we have the following representation

f(3) = 7x² - 2x

So, we have the following equation

f(3) = 7(3)² - 2(3)

There are constants to add or subtract to both sides of the equation

So, we have the following representation

f(3) = 57

Hence, the solution is 57

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Answer:

Not sure but try moving a number from 79 since you cannot switch the operation

Step-by-step explanation:

The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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Answer:

Circle Graph

Step-by-step explanation:

Answer:

False, it is easier to isolate x.

Step-by-step explanation:

6y+x=3

x=3-6y

Answer:

29π/12.

Step-by-step explanation:

Multiply by π/180

= 435π/180

= 29π/12 radians.

The set of factors used to factor the given trinomial are -4 and -4. Therefore, option C is the correct answer.

The given trinomial is x²-8x+16.

Factors of 16           Sum of factors

-1 and -16               -1+(-16)=-17

-2 and -8                  -2+(-8)=-10

-4 and -4                  -4+(-4)=-8

The set of factors would used to factor the trinomial are -4 and -4.

Therefore, option C is the correct answer.

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The value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

Considering the sine of angle 41°

sin 41° = 2.5/x {opposite/hypotenuse}

x = 2.5/sin 41° {cross multiplication}

x = 3.8106

Therefore, the value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.

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Answer:

4.472135955

Step-by-step explanation:

Answer:

i think it's 1.7082039325

Step-by-step explanation:

The water cooler tank has to be filled 18 times to quench the thirst of 1200 students.

We have

Number of students= 1200

Water consumption per student= 750 ml

So, Total water consumption

= Number of students × Water consumption per student

= 1200 × 750 ml

= 900000 ml

= 900 Liter

Now, the time cooler tank has to be filled to quench the thirst

= 900 / 50

= 18 times

Thus, the water cooler tank has to be filled 18 times to quench the thirst of 1200 students.

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The function's general shape is a downward-opening parabola.

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

f(x)=-x^4+8x^3+8x^2-96x-144

Express properly

So, we have

f(x) = -x⁴ + 8x³ +8x² - 96x - 144

Next, we plot the graph (see attachment)

From the attached graph, we can see that the function opens down

This means that the general shape is a downward-opening parabola.

The function faces down (as shown on the graph)

Here, we set x = 0

So, we have

f(0) = -(0)⁴ + 8(0)³ + 8(0)² - 96(0) - 144

Evaluate

f(0) = -144

So, the y-intercept is -144

We start by setting the factor to 0

So, we have

x - 6 = 0

Solve for x

x = 6

From the graph;

When x = 6, y = 0

This means that x - 6 is a factor

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Answer:

NO, there is no x value for which the two perimeters are equal.

Step-by-step explanation:

The formula for the perimeter of the square is P = 4(side length), which here is P = 4(x + 3), which simplifies to 4x + 12.

The formula for the perimeter of the rectangle is P = 2(x + 4) + 2(x + 1), which simplifies to P = 4x + 10

We set these two results equal to each other to determine whether there is one or more x value that makes the perimeters of the two figures equal:

4x + 12 = 4x + 10

12 is never equal to 10, so NO, there is no x value for which the two perimeters are equal.

Answer:

4 + (-5)

Step-by-step explanation:

4 - 5 = 4 + (-5) = -1

Additive inverse of 5 = (-5)

Answer:

The cost after the discount would be represented by the expression:

cc * (1 - 0.15)

This expression subtracts 15% (0.15) of the total cost from the total cost to get the final cost after the discount.

Answer:

The correct answer is: u = 10,500. When the value of the alternative hypothesis is greater than that of the null hypothesis, the power of the test will be increased, so a value of u = 10,500 would yield the greatest power to reject the null hypothesis.

Answer:

x = 14

Step-by-step explanation:

3(x + 1) = 45

3*x + 3*1 = 45    {Distributive property used: a*(b+c) =(a*b) +(a*c)}

3x + 3    = 45

   Subtract 3 from both sides

         3x = 45 - 3

         3x = 42    

Divide both sides by 3

          x  = 42/3

               \(\sf \boxed{\bf x = 14}\)

Answer:

55.25

Step-by-step explanation:

So, all you gotta do is get rid of the decimal, times them both, then add the decimal back into it, and how you do that is you see how many numbers are behind a decimal point in the first place, in this case, it's two (8.5, 6.5) and you got your answer!

Hope this helps! <D

Answer:

Step-by-step explanation:

It is assumed you need to find the area of the figure.

The figure comprises of a rectangle with sides of 6 in x 4 in and semicircle with the diameter of 6 in.

The area of the figure:

A positive and a negative co - terminal angle for each given angle is 1) -π/2 and -9π / 2 and 2) 7π / 2 and -π / 2 .

Given :

a positive and a negative co - terminal angle for each given angle

1 )  

= -5π / 2

To find positive and negative co - terminal angle we need to add and subtract by 2π .

= -5π / 2 + 2π

= -5π + 4π / 2

= -π/2

= -5π / 2 - 2π

= -5π - 2 * 2π / 2

= -5π - 4π / 2

= -9π / 2

or =

2 )

= 3π / 2

= 3π / 2 + 2π

= 3π + 2 * 2π / 2

= 3π + 4π / 2

= 7π / 2

= 3π / 2 - 2π

= 3π - 4π / 2

= -π / 2

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Answer:

D

Step-by-step explanation:

If you look at the centerand radius of a circle (those are the two most important things when defining a circle), you will see, they shrank by a factor of two, so since it affected both x and y, it had to be from the origin.

Answer:

1,483

Step-by-step explanation:

The equation that models this set of data is y=17.2x^2-226.3x+2184.5. Since x=0 represents 6:00 a.m, x=5 represents 11:00 a.m. Substitute 5 for x in the model, and solve for y.

Based on the number of registered users who log into the social media app during weekdays and weekends, the following are true:

The given model for the users in the week is:

y = 17.2x² - 226.3x + 2,184.5

x is 5 because 11 am is 5 hours after 6 am:
= 17.2(5)² - 226.3(5) + 2,184.5

= 1,483 users

The company should post when there are the most people online and on weekdays that's 14 hours after 6 am which is:
=14 + 6

= 20:00

= 8 pm

On weekends this is 6 hours after 6 am:

= 6 + 6

= 12 pm

Missing information from question:

Model for calculating weekday users y = 17.2x² - 226.3x + 2,184.5.

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Answer:

There are no like terms.

Step-by-step explanation:

Answer: if i remember correctly you’re just supposed to add 2 to the exponent so it’s be 2b^5 if that’s not the case then there are no like terms

Step-by-step explanation:

Answer:

number of Lola hats = h

number of Polly hats = 3h

number of Darla hats = 3h - 8

Step-by-step explanation:

Lola has h number of hats . Polly has triple as many as Lola . Then Darla has eight number of hat less than Polly. The expression for how many hat each person has in terms of h can be express below.

Let

number of Lola hats = h

number of Polly hats = 3h (recall Polly has triple as many as Lola)

number of Darla hats = 3h - 8(Note Darla has 8 number less of hats than Polly who already have 3h number of hats)

The simplest way to explain this is that Lola has h number of hats. This means she has h number of hats .Polly has triple of Lola hats, this implies that 3 times h of Lola hats is Polly hats.  Then finally Darla hats is 8 less than Polly hats. This simply means if you subtract 8 from Polly's hats you have gotten Darla's hats.

Answer:

10.74666666666667 per quart

Step-by-step explanation3 divided 36.24

To find the value of Az in the geometric sequence, we can use the given information. The geometric sequence is represented as follows: A3, 60, 160, 06 = 9.

From this, we can see that the third term (A3) is 60 and the common ratio (r) is 160/60.

To find Az, we need to determine the value of the nth term in the sequence. In this case, we are looking for the term with the value 9.

We can use the formula for the nth term of a geometric sequence:

An = A1 * r^(n-1)

In this formula, An represents the nth term, A1 is the first term, r is the common ratio, and n is the position of the term we are trying to find.

Since we know A3 and the common ratio, we can substitute these values into the formula:

60 =\(A1 * (160/60)^(3-1)\)

Simplifying this equation, we have:

\(60 = A1 * (8/3)^260 = A1 * (64/9)\)

To isolate A1, we divide both sides of the equation by (64/9):

A1 = 60 / (64/9)

Simplifying further, we have:

A1 = 540/64 = 67.5/8.

Therefore, the first term of the sequence (A1) is 67.5/8.

Now that we know A1 and the common ratio, we can find Az using the formula:

Az = A1 * r^(z-1)

Substituting the values, we have:

Az =\((67.5/8) * (160/60)^(z-1)\)

However, we now have the formula to calculate it once we know the position z in the sequence.

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Answer:

8

Step-by-step explanation:

let x be the number , then

\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )

3x = 108 ( divide both sides by 3 )

x = 36

the number is 36, so

\(\frac{2}{9}\) × 36 = 2 × 4 = 8

The two ninths of the number is 8

We know that Three quarters of a number is  \(\frac{3}{4}\)  times of a number

Hence we will assume the number x ,

                     \(\frac{3}{4} of x = 27\)

                     \(x = 27 X \frac{4}{3}\)

                       \(x = 36\)

Now as we know the number is 36

Therefore , the two ninths of the number assumed as y

We will multiply the number 36 by 2 and then divide by 9

Hence,

                           \(y = 36 X \frac{2}{9}\)

                               \(y = 8\)

Thus, the two ninths of the number 36  is 8                            

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Answer:

tbh not sure sorry hope somebody anwsers

Step-by-step explanation:

Answer:

4/8 or 1/2 :)

Step-by-step explanation: well we can change 3/4 to 6/8 since its equal and will have a common denominator with 3/8.

so 6/8 + 3/8 = 1&1/8 or 9/8. so 9/8 - 5/8 = 4/8 or 1/2 :)

I hope this helps