75% of the students in chemistry have had algebra. If there are 300 students
in chemistry, how many of them have had algebra?
(I’ll mark as brainlest)

The 8-bit two's complements for 23 is 00010111, 67 is 01000011 and 4 is 00000100.

To find the 8-bit two's complements for the given integers (23, 67, 4), we'll follow these steps:

Convert the integer to its binary representation using 8 bits.

If the integer is positive, the two's complement representation will be the same as the binary representation.

If the integer is negative, calculate the two's complement by inverting the bits and adding 1.

Let's calculate the two's complements for each integer:

Integer: 23

Binary representation: 00010111

Since the integer is positive, the two's complement representation remains the same: 00010111

Integer: 67

Binary representation: 01000011

Since the integer is positive, the two's complement representation remains the same: 01000011

Integer: 4

Binary representation: 00000100

Since the integer is positive, the two's complement representation remains the same: 00000100

Therefore, the 8-bit two's complements for the given integers are:

For 23: 00010111

For 67: 01000011

For 4: 00000100

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Answer:

As a decimal: 0.13

As a fraction: 5/36

Step-by-step explanation:

Answer: 5

Step-by-step explanation: hope this helps!

By using sum or difference formulas, cos(-a) can be written as - cos(a). Explanation: We know that cosine is an even function of x, therefore,\(cos(-x) = cos(x)\) .Then, by using the identity \(cos(a - b) = cos(a) cos(b) + sin(a) sin(b)\), we can say that:\(cos(a - a) = cos²(a) + sin²(a).\)

This simplifies to:\(cos(0) = cos²(a) + sin²(a)cos(0) = 1So, cos(a)² + sin(a)² = 1Or, cos²(a) = 1 - sin²\)(a)Similarly,\(cos(-a)² = 1 - sin²(-a)\) Since cosine is an even function, \(cos(-a) = cos(a)\) Therefore, \(cos(-a)² = cos²(a) = 1 - sin²(a)cos(-a) = ±sqrt(1 - sin²(a))'.\)

This is the general formula for cos(-a), which can be written as a combination of sine and cosine. Since cosine is an even function, the negative sign can be written inside the square root: \(cos(-a) = ±sqrt(1 - sin²(a)) = ±sqrt(sin²(a) - 1) = -cos\).

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Answer:

4 11/14

Step-by-step explanation:

9 16/14          9 turns to 8 and u add 14/14 to 2/14 16/14 then subtract 5/14

-4 5/14

4 11/14

Answer:

5 4/14

Step-by-step explanation:

Ok so what we do is take the whole number away from the fractions (9 - 4)

And subtract the fractions

9/14 - 5/14 = 4/14 just remember NEVER ADD OR SUBTRACT DENOMINATORS. Now you should add the whole numbers 9 - 4 =5 now get them together 5 4/14. Theirs your answer

Predictive validity is the extent to which a selection procedure can predict an applicant's future job performance and To conduct a predictive validity study, a selection procedure is developed, administered to job applicants, and their scores are correlated with their job performance ratings after a certain period of time to determine the procedure's predictive ability.

A) Predictive validity refers to the extent to which a selection procedure, such as a test or an interview, can predict an applicant's future job performance. It is established by administering the selection procedure to a group of job applicants and then correlating their scores with their job performance ratings obtained after a certain period of time has passed.

B) To conduct a predictive validity study, the following steps can be taken based on Table 8.1:

Identify the job(s) and the critical job-related factors for which the selection procedure is being developed.

Develop and validate a selection procedure, such as a test or an interview, that measures the critical job-related factors.

Administer the selection procedure to a group of job applicants who have been recruited for the job(s) in question.

Hire the applicants who score above a predetermined cutoff score on the selection procedure.

Collect job performance ratings for the hired employees after a certain period of time has passed, such as 6 months or 1 year.

Calculate the correlation coefficient between the applicants' selection procedure scores and their job performance ratings.

Evaluate the predictive validity of the selection procedure by determining the strength and statistical significance of the correlation coefficient.

By following these steps, employers can determine whether their selection procedure is predictive of job performance and can use this information to improve their hiring process.

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The statement is true. In the context of vector calculus, the dot product between two vectors u and v is defined as the product of their magnitudes and the cosine of the angle between them.

The dot product satisfies the distributive property and is linear with respect to scalar multiplication, which means that for any scalar c and vectors u and v, we have:

u · (cv) = c(u · v)

This equation states that taking the dot product between vector u and the scalar multiple cv is equivalent to multiplying u by the dot product between u and v scaled by c.

This property is useful in many applications of vector calculus, including the computation of work and the projection of vectors onto subspaces. It is also used in the definition of the norm and the inner product of vectors.

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The probability of Stephen Curry making exactly three of his next five free throws is 0.3264 or 32.64%.

\(p(x) = nCx * p^x * q^(n-x)\)

where:

n = total number of attempts (5 in this case)

x = desired number of successes (3 in this case)

p = probability of success (0.92 in this case)

q = probability of failure (1 - p, or 0.08 in this case)

Plugging these numbers into the equation gives us:

p(3) = 5C3 * 0.92^3 * 0.08^2 = 0.3264

Stephen Curry is a professional basketball player in the NBA who is known for his incredibly accurate shooting ability. He made 92% of his free throws during the 2018-2019 regular season with the Golden State Warriors. We can calculate the probability of Curry making exactly three of his next five free throws using the binomial probability formula. This formula takes into account the probability of the event (Curry making the free throw) and the number of attempts (five). In this case, the probability of success (Curry making the free throw) is 0.92 and the number of attempts is five. Plugging these numbers into the equation gives us a probability of 0.3264 or 32.64%. This means that Curry has a 32.64% chance of making exactly three of his next five free throws.

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Answer:

20 problems.

Step-by-step explanation:

She has 100 - 65 = 35% of her problems left.

35% is equivalent to 7 problems,

so, 100% = 7 * 100/35

               = 100/5

              = 20 problems

If the total number of minutes used and text messages sent last month was 561 , then the number of minutes she use is  207 minutes .

The total number of minutes used and text messages is = 561 ;

the cost for per minute cost is = 8 cents ;

the cost for per text message is = 5 cents ;

Bella's total bill amount is = $34.26 = 3426 cents

let the number of minutes used be = x minutes ; and

let the number of text messages be = y ;

So ,According to the question ,

the equations representing the situations are ,

\(x+y=561\)  and \(8x+5y=3426\)

Substituting the values of \(y=561-x\) in the equation \(8x+5y=3426\) ,

we get ;

\(8x + 5(561-x)= 3426\)

On solving ,

we get ; x = 207 minutes ;

So , the number of text messages (y) = \(561-207\)

= 354 text messages.

Therefore , the number of minutes is = 207 minutes .

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If line passes through points (0,3) and (-3,0), then the slope calculated by Martin as "3" is incorrect because the correct slope is 1.

The "Slope" of a line is defined as measure of its steepness or inclination, and it describes how much the line rises or falls over a given distance in the horizontal direction.

To find the slope of a line passing through two points (x₁, y₁) and (x₂, y₂), we use the slope formula ⇒ slope = (y₂ - y₁) / (x₂ - x₁),

In this case, the two points are (0, 3) and (-3, 0). Substituting the coordinates in formula, we get:

⇒ slope = (0 - 3)/(-3 - 0),

⇒ Slope = -3/-3,

⇒ Slope = 1,

Therefore, the correct slope of the line passing through the points (0, 3) and (-3, 0) is 1, not 3 as Martin incorrectly said.

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The given question is incomplete, the complete question is

The line in the graph passes through the points (0,3) and (-3,0), Martin incorrectly said that the slope of this line is "3" . What is the correct slope?

Answer:

each one is double the one before it so in year 5...

3912*2=7824

Hope This Helps!!!

Answer:

7824

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

Write this out as follows:

        6

     --------

       -1/2

To divide 6 by -1/2, invert the -1/2 and multiply the result by 6:

       2

6 * ----- = -12

       -1

Answer:

Each person will earn $16.

Step-by-step explanation:

Given that:

Amount of loss faced by the company = $144

Number of people who would share the amount = 9

Let,

x be the share of each person.

Number of people * Share per person = Total loss

9x = 144

Dividing both sides by 9

\(\frac{9x}{9}=\frac{144}{9}\\\)

x = $16

Hence,

Each person will earn $16.

If 3x - 4 in. and 5x + 6 in. are the measurement of the two pieces that are gotten by splitting a board in the middle that measures 2x + 52 in., the value of x is: 9

Measure of the original wooden board is:

Measure of the two pieces gotten from the original wooden board are:

Thus, the sum of the measure of the two pieces that you cut will be equal to the measure of the original wooden board.

\((3x - 4) + (5x + 6) = 2x + 52\)

\(3x - 4 + 5x + 6 = 2x + 52\)

\(8x - 2 = 2x + 52\\\\8x - 2x = 2 + 52\\\\6x = 54\)

x = 9

Therefore, if 3x - 4 in. and 5x + 6 in. are the measurement of the two pieces that are gotten by splitting a board in the middle that measures 2x + 52 in., the value of x is: 9

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Based on the calculations, the inequality represented by the given graph is y ≤ -3/2x - 2.

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a Cartesian coordinate, which are the x-axis and y-axis.

Based on the graph given, we have an inequation of the form y ≤ f(x), and f(x) is a linear function with following points:

Points (x, y) = (0, -2) and (2, -5)

Next, we would determine the slope as follows:

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (-5 - (-2))/(2 - 0)

Slope, m = -3/2.

Mathematically, the point-slope form of a straight line is given by:

y - y₁ = m(x - x₁)

Where:

Substituting the given parameters into the formula, we have;

y - (-2) = -3/2(x - 0)

y + 2 = -3/2x

y = -3/2x - 2

y ≤ -3/2x - 2.

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Answer:

1125

Step-by-step explanation:

75 * 3 = 225 one giraffe can eat in three days

225 * 5 = 5 giraffes can eat in three days

Answer:

The width can be 11 cm long.

Step-by-step explanation:

We would multiply 12 cm by 2, or just add 12 cm by 12 cm.

12+12=24

And we should decrease 49 to 46, since it says it want a perimeter less than 49. If we make 49 into 48, that would just make it a square

Then subtract the 24 from 46. If we made 49 into 48, that would just make it a square, 48-24=24 would not fit the criteria. Of course you could make 46 even smaller to get a smaller width, but I just stuck with 46.

46-24= 22

Then we divide it in half.

22/2=11 cm for width

Hope that helped.

Answer:p(x)=(x-1)(x-3)²

Step-by-step explanation:

The polynomial p(x)=(x-1)(x-3)² is a 3rd degree polynomial, but it has only 2 distinct zeros. This is because the zero x=3, which is related to the factor (x-3)², repeats twice. This is called multiplicity. It means that x=3 is a zero of multiplicity 2, and x=1 is a zero of multiplicity 1.

Answer:

What is the product of −2 1/2 and −3 1/3

Step-by-step explanation:

What is the product of −2 1/2 and −3 1/3

Answer:

length of the zip line = 121. 63 ft

Step-by-step explanation:

The length of the zip line AB forms a triangle  ABC. To find the length AB we need to know the length of 2 sides of the triangle an angle.

Triangle ADC

We need to find the hypotenuse side AC using the SOHCAHTOA principle.

Therefore,

sin 41° = opposite/hypotenuse

opposite = 65 ft

sin 41° = 65/AC

cross multiply

0.65605902899 AC = 65

divide both sides by 0.65605902899

AC = 65/0.65605902899

AC = 99.0764506359  ft

AC ≈ 99.08 ft

Triangle BCE

We are looking for side BC. The triangle BCE is also a right angle triangle so we use the same methodology like the triangle ADC.

sin 62° = opposite/hypotenuse

opposite = 85 ft

sin 62° = 85/BC

cross multiply

BC sin 62° = 85

BC = 85/sin 62°

BC = 85/0.88294759285

BC = 96.2684543086

BC ≈ 96.27 ft

The angle ACB can be gotten when you subtract 62° and 41° from 180 (angle on a straight line).

Therefore,

∠ACB = 180° - 62° - 41°

∠ACB  = 77°

Now let us use the cosine law to find the zip line AB.

c² = a² + b² - 2ab cos C

a = 96.27 ft

b = 99.08 ft

c² = 96.27² + 99.08² - 2 × 96.27 × 99.08 cos 77°

c² = 9267.9129 + 9816.8464 - 19076.8632 cos 77°  

c² = 19084.7593 - 19076.8632 × 0.22495105434

c²  = 19084.7593 - 4291.36049041

c² = 14793.398810

square root both sides

c = √14793.398810

c = 121.628116856

c ≈ 121. 63 ft

length of the zip line = 121. 63 ft

The complex square roots of 36(cos 30° + i sin 30°) in polar form are √36(cos 15° + i sin 15°) and √36(cos 195° + i sin 195°). The absolute value of the complex number z = 15 - 3i is √234.

To find all the complex roots, we can take the square root of the given complex number and express the answers in polar form.

1. Complex square roots of 36(cos 30° + i sin 30°) (polar form):

To find the complex square roots, we take the square root of the modulus and divide the argument by 2. Given 36(cos 30° + i sin 30°) in polar form, the modulus is 36 and the argument is 30°.

First, let's find the square root of the modulus:

√36 = 6.

Next, let's divide the argument by 2:

30° / 2 = 15°.

Therefore, the complex square roots are:

√36(cos 15° + i sin 15°) and √36(cos 195° + i sin 195°) in polar form.

2. Absolute value of the complex number z = 15 - 3i:

The absolute value (modulus) of a complex number is given by the formula |z| = √(a^2 + b^2), where a is the real part and b is the imaginary part of the complex number.

For z = 15 - 3i, the real part (a) is 15 and the imaginary part (b) is -3.

Calculating the absolute value using the formula:

|z| = √(15^2 + (-3)^2)

|z| = √(225 + 9)

|z| = √234.

Therefore, the absolute value of the complex number z = 15 - 3i is √234.

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The trigonometric function is y = 6sin((2π/8)x) - 4.

Based on the values in the table, we can observe that the function has a period of 8. The maximum value of y is 2, and the minimum value of y is -10.

One possible formula for the trigonometric function that fits the given values is:

y = 6sin((2π/8)x) - 4

In this formula, sin((2π/8)x) represents a sinusoidal function with a period of 8, and the multiplication by 6 and subtraction of 4 adjust the amplitude and vertical shift to match the given values.

You can substitute different x values into this formula to verify if it gives the corresponding y values in the table.

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9514 1404 393

Answer:

  $129,992

Step-by-step explanation:

The sum of a geometric series is given by ...

  Sn = a1·(r^n -1)/(r -1)

Here, the first term is 24000, and the growth factor r is 1+4% = 1.04. The sum is then ...

  S5 = 24000·(1.04^5 -1)/(1.04 -1) ≈ 129992

The total earned over 5 years was $129,992.

___

A spreadsheet can list the annual salaries and add them up. The salary each year is 1.04 times that of the previous year. That is shown in the attachment.

Answer:

The last sides on both triangles must have the three lines shown in the picture, because that shows that those sides are congruent. SSS stands for side side side, and the I and II shows that those sides are congruent.

Step-by-step explanation:

The shortest amount of time the woman can travel from point A to point C is 2π + 4 hours.

The shortest amount of time for the woman to travel from point A to point C across the circular lake can be determined by finding the optimal combination of bicycling and rowing.

Let's consider the following approach:

The total time taken for the woman to travel from point A to point C using this approach is the sum of the time taken for bicycling and rowing, which is 2π hours (for bicycling) + 4 hours (for rowing) = 2π + 4 hours.

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Answer:

Line n

Step-by-step explanation:

We see on the picture that XM=MY

So M is midpoint of the segment XY

Line n passes through midpoint M, so it is the segment bisector of XY

Correct choice is Line n

a. null hypothesis \(H_0\): PRmean=non-PRmean

b. the sample mean lies in the interval, so we fail to reject null hypothesis

c. critical value z(0.05)=1.96 is less than calculated z=3.56 so we fail to accept null hypothesis.

A null hypothesis states that there is no statistical significance to be discovered in the set of presented observations. The validity of a theory is assessed through hypothesis testing on sample data. Sometimes known as the "null," it is represented by the symbol  \(H_0\).

(a)

null hypothesis  \(H_0\): PRmean=non-PRmean

(b).

i. \((1-\alpha)\times 100\%\) confidence interval for sample

\(mean=mean \pm z(\frac{\alpha }{2} )*SE(mean)\)

95% confidence interval for sample PRmean=PRmean±z(.05/2)*SE(mean)=69.5±1.96*1.9

=69.5±3.724=(65.776,73.224)

95% confidence interval for sample non-PRmean=non-PRmean±z(.05/2)*SE(mean)=61.2±1.96*1.7

=69.5±3.332=(57.868, 64.532)

ii. null hypothesis not be rejected

iii. since the sample mean lies in the interval, so we fail to reject null hypothesis

(c).

i. mean difference=69.5-61.5=8

ii. SE(difference)=\(\sqrt{SE(PR)^2+SE(non-PR)^2}\)

\(=\sqrt{1.9\times 1.9+1.2\times 1.2}\)

=2.2472

iii. we use z-test and z=(mean difference)/SE(difference)=8/2.2472=3.56

iv. here level of significance alpha is not mentioned,

let \(\alpha\) =0.05

critical value z(0.05)=1.96 is less than calculated z=3.56 so we fail to accept null hypothesis.

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Answer:

375

Step-by-step explanation:

l times with times hight

Answer:

volume = 375

Step-by-step explanation:

12 1/2 times 5 times 6

The smallest value of n that satisfies the inequality is n = 7. Therefore, T_7 = -31 * (512)^(7-1) = -169869312.

For the first question, the formula for the sum of an infinite geometric series is S = a/(1-r), where a is the first term and r is the common ratio. Since r = Soo, which is greater than 1 in magnitude, the series diverges to infinity and does not converge.

For the second question, we can find T_10 by using the formula T_n = a * r^(n-1), where a is the first term and r is the common ratio. Thus, T_10 = -31 * (512)^9 = -2.64961056 × 10^25.

To find the smallest value of n for which T < 16953125, we can set up the inequality T_n < 16953125 and solve for n.

T_n = -31 * (512)^(n-1)

-31 * (512)^(n-1) < 16953125

(512)^(n-1) > -547524.1935

n-1 > log_512(-547524.1935)

n-1 > 5.3614...

n > 6.3614...

Since n must be a positive integer, the smallest value of n that satisfies the inequality is n = 7. Therefore, T_7 = -31 * (512)^(7-1) = -169869312.

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