1.BhEvaluate the formula V =3O 9.6 in.³O 288 in. 3O 32 in.3O 96 in.3for B = 9 in.² and h = 32 in.

Answer:

0.32

Step-by-step explanation:

just divide

Answer:

$6

Step-by-step explanation:

25%= 1/4

8 divided by 4 =2

$2 is what is taken off

$8-$2 which is $6

Option C. A random sample of attendees would be a group of attendees selected in a systematic and unbiased manner, such that each attendee has an equal chance of being selected to participate in the survey.

This ensures that the opinions represented in the survey are representative of the opinions of the entire attendee population. For example, the organizers could randomly select every 10th attendee, or they could use a random number generator to select a certain number of attendees. The important thing is that the selection process is not influenced by any extraneous factors and is done in a way that ensures each attendee has an equal chance of being selected.

Finally, it is also important to ensure that the survey questions are clear, unbiased, and relevant to the topic being studied. This will help ensure that the responses obtained are meaningful and accurately reflect the opinions of the attendees.

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The organizers of a conference want to survey attendees about the registration fee. Which of the following best describes a random sample of attendees?

A. The organizers form groups of 20 attendees based on the day the attendees registered. Then, the organizers randomly choose 4 groups and select all of the attendees in these groups.

B. The organizers select the first 80 attendees who register for the conference because these attendees are easily accessible.

C. The organizers assign each attendee a different number. Using a random number table, the organizers draw 80 of those numbers at random. Then, organizers select the attendees assigned to the drawn numbers. Every set of 80 attendees is equally likely to be drawn using the random number table.

Answer:

120,000

Step-by-step explanation:

Step-by-step explanation:

tan 0 = y/x (as a drawing attached)

The requried, y/x is equal to tan θ using coordinates on the unit circle. Option C is correct.

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on a coordinate plane and r is the radius of the circle.

Here,
In a unit circle, the coordinates of a point on the circle are (cos θ, sin θ), where θ is the angle formed by the radius of the circle and the positive x-axis. Therefore, the tangent of θ is given by the ratio of sin θ to cos θ, which is (sin θ)/(cos θ) = y/x. Simplifying this expression, we get tan θ = y/x.

Therefore, the answer is option C) y/x.

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Answer:

volume of sphere =4/3×πr³=4/3×π×r³

Step-by-step explanation:

hope it is helpful to you

Answer:

b

Step-by-step explanation:

-a-(a-b)

Distribute the negative sign to get -a+a+b

-a cancels out a, and you're left with b.

Answer:a²-ab

Step-by-step explanation:

since the negative symbol is on the outside of the parenthesis all values inside the parenthesis get reversed. so:

-a(-a+b)

Then multiply by -a:

a²-ab

9514 1404 393

Answer:

  y = -x +3

  m = -1

  b = 3

Step-by-step explanation:

To solve the given equation for y, divide by the coefficient of y.

  (-3y)/(-3) = (3x -9)/(-3)

  y = -x +3

__

The slope is the x-coefficient, M = -1.

__

The y-intercept is the added constant, B = 3.

__

Both equations are graphed in the attachment. Texture has been added to the original so you can see the graphs are the same line.

the answer for this question is x = 9

x=9 ig

but how did I get -3?

Answer:

the y intercept is -4 (as a point it is (0,-4))

Step-by-step explanation:

Hi there!

We are given a slope (m) of 3 and the point (-1,-7).

We need to find the y intercept of the line that has the slope of 3 and passes through (-1,-7)

One way to find the y intercept is to write the equation of the line in slope-intercept form (y=mx+b, where m is the slope and b is the y intercept).

Since we are given the slope, we can immediately substitute it into the equation

Here it is so far:

y=3x+b

now we need to find b (the y intercept)

since the line passes through the point (-1,-7), we can use it to solve for b

substitute -1 as x and -7 as y into the equation

-7=3(-1)+b

multiply

-7=-3+b

add 3 to both sides

-4=b

so the y intercept is -4 . If you need it as a point, its (0,-4) as the y intercept is the point where the equation passes through the y axis, so the value of x is 0.

Hope this helps! :)

Answer:

715

Step-by-step explanation:

[4(17) + 3(25)] x 5

(68+3*25)*5

(68+75)*5

143*5

175

Answer: D

Step-by-step explanation: it’s equivalent if u find the first system and then work it out to find the same system (2,-1)

Answer:

Step-by-step explanation:

(2x + 7)(x + 1)

answer is A

If a jacket was purchased at £75 and had 20% off, what would the price be?

0 000

(а) £15

(b) £70

(d) £65

Answer:

The Answer Is A

Step-by-step explanation:

Answer:

Step-by-step explanation:

The image triangle has vertices after the dilation by a scale factor of 3 are M'(0,12), N'(12,6), and P'(6,-6).

To find the image coordinates of a triangle after dilation, we need to multiply the coordinates of each point by the scale factor.

In this case, the scale factor is 3.

So the image coordinates of the triangle with vertices M(0,4), N(4,2), and P(2,-2) after dilation by a scale factor of 3 are:

M' = (3 * 0, 3 * 4) = (0, 12)

N' = (3 * 4, 3 * 2) = (12, 6)

P' = (3 * 2, 3 * (-2)) = (6, -6)

Hence, the image triangle has vertices M'(0,12), N'(12,6), and P'(6,-6).

In summary, the image coordinates of the triangle after dilation by a scale factor of 3 are M'(0,12), N'(12,6), and P'(6,-6).

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Answer:

C

Step-by-step explanation:

trust me c is the correct answer

Answes

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By answering the presented question, we may conclude that In decimal form, the answer is 0.15, which is close to option A, 0.148. As a result, the answer is A. 0.148.

According to Euclidean geometry, a square is an equilateral quadrilateral having four equal sides and four equal angles. It is often referred to as a rectangle with two nearby sides of equal length. A square is an equilateral quadrilateral because it has four equal sides and four equal angles. Square angles are 90-degree or straight angles. Also, the diagonals of the square are evenly spaced and divide at a 90-degree angle. an adjacent rectangle with two equal sides. a quadrilateral with four equal-length sides and four right angles. A parallelogram with two adjacent, equal sides forming a right angle. A rhombus with straight sides.

To determine the answer, multiply the areas of the shaded squares by the overall area of the figure.

Assuming that both squares are the same size, we may combine the fractions using a common denominator:

2/12 + 2/15 = 5/60 + 4/60 = 9/60 = 3/20

As a result, the entire shaded area is 3/20 of the total area of the diagram.

We can't discover the exact area of the graphic because it's not presented. As a result, we can only represent the answer in fractions or decimals.

In decimal form, the answer is 0.15, which is close to option A, 0.148. As a result, the answer is A. 0.148.

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The estimated probability that it takes 10 or fewer shots to get his first successful shot is:

P(10 or fewer shots) ≈ 0.825

What is probability?

Probability is the study of the chances of occurrence of a result, which are obtained by the ratio between favorable cases and possible cases.

To estimate the probability that it takes 10 or fewer shots to get his first successful shot, we need to add up the number of dots for the first 10 bars on the dot plot.

From the given dot plot, we can see that the number of dots for each value up to 10 shots are:

0 + 9 + 6 + 5 + 4 + 4 + 2 + 2 + 0 + 1 = 33

Therefore, the estimated probability that it takes 10 or fewer shots to get his first successful shot is:

P(10 or fewer shots) ≈ 33/40

This can also be written as a decimal:

P(10 or fewer shots) ≈ 0.825

Hence, the estimated probability that it takes 10 or fewer shots to get his first successful shot is:

P(10 or fewer shots) ≈ 0.825

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The required cumulative relative frequencies are 0.04, 0.44, 0.56, 0.80, and 1 respectively.  

The relative frequency of the data is the ratio of the given frequency to the total frequency in the observation.

From the given data,

Relative frequency = given frequency / total frequency

Where total frequency = 0.04 + 0.4 + 0.12 + 0.24 + 0.2 = 1

Value     Relative frequency       Cumulative frequency

3                 0.04/1 = 0.04                  0.04    

4                 0.4/1 = 0.4                    0.04 + 0.4 = 0.44  

5                    0.12                           0.44 + 0.12 = 0.56

6                   0.24                           0.56 + 0.24 = 0.80  

7                     0.2                            0.80 + 0.2 = 1

Thus the required cumulative relative frequencies are 0.04, 0.44, 0.56, 0.80, and 1 respectively.  

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Answer:

67.307

Step-by-step explanation:

30×25=750

100×80=8000

750+8000=8750

8750/130=67.307... total hits divided by total games

Take two points

Equation of line in two points form

\(\\ \rm\hookrightarrow y-y_1=(y_2-y_1/x_2-x_1)(x-x_1)\)

\(\\ \rm\hookrightarrow y-25=(\dfrac{165-25}{100-30})(x-30)\)

\(\\ \rm\hookrightarrow y-25=(\dfrac{140}{70})(x-30)\)

\(\\ \rm\hookrightarrow y-25=2(x-30)\)

\(\\ \rm\hookrightarrow y-25=2x-60\)

\(\\ \rm\hookrightarrow y=2x-35\)

\(\\ \rm\hookrightarrow y=2(106)-35=177hits\)

Answer:

Yes, she passes with 80%

Step-by-step explanation:

4 divided by 5 = 0.8

0.8 multiplied by 100 = 80%

80% is greater than the required 75% needed to pass

Answer:

Yes

Step-by-step explanation:

First lets establish the key points

We know she needs 75% to pass and she gets 4/5 of the marks

Lets make 4/5 a decimal 4/5 X 2/2 is 8/10 better know as .8

.75 = 75%

.8 = 80%

80% > 75%

Meaning She PASSED!!!

Answer:

The value is  \(P(X > 3.30) = 0.12405\)

Step-by-step explanation:

From the question we are told that

   The mean GPA is  \(\mu = 3.25\)

   The standard deviation is \(\sigma = 0.75\)

    The sample size is  n  =  300

Generally the standard error of mean is mathematically represented as

     \(\sigma_{\= x} = \frac{\sigma }{\sqrt{n} }\)

=>   \(\sigma_{\= x} = \frac{0.75}{\sqrt{300} }\)

=>   \(\sigma_{\= x} = 0.0433\)

Generally the  probability that a random sample of 300 students will have a mean GPA greater than 3.30 is mathematically represented as

     \(P(X > 3.30) = P(\frac{X - \mu}{\sigma_{\= x}} > \frac{3.30 -3.25}{ 0.0433} )\)

\(\frac{\= X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ \= X )\)

    \(P(X > 3.30) = P(Z> 1.155 )\)

From the z table the probability of  (Z >  1.155 ) is

     \(P(Z> 1.155 ) = 0.12405\)

   \(P(X > 3.30) = 0.12405\)

In the quadratic equation y = a\(x^{2}\) + c ,the value of x = ± \(\sqrt \frac{y-c}{a}\)

A quadratic equation is any equation containing one term wherein the unknown is squared and no term wherein it's far raised to a higher power.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, in which a and b are the coefficients, x is the variable, and c is the constant term.

To find the value of x

Assuming \(a\neq o\)

First, subtract c from both the sides to get:

\(y-c=ax^{2}\)

then, divide both sides by \(a\) and transpose to get:

\(x^{2} =\frac{y-c}{a}\)

So, \(x\) must be a square root of \(\frac{y-c}{a}\)  and we can deduce:

\(x=\) ± \(\sqrt \frac{y-c}{a}\)

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In order to corroborate that the points belong to the equation, we must subtitute the points into the equation.

If we substitute the points from option A, we get

for (1,8), we have

then, option A is false.

Now, if we substitute the points in option B, for point (2,5), we have

which is correct. Now, for point (-1.8) we obtain

Since all the points fulfil the equation, then option B is an answer.

Lets continue with option C and D.

If we substitute point (1,8) from option C, we have

then, option C is false.

If we substite point (4,11) from option D, we get

then, option D is false.

Therefore, the answer is option B.

The expression for the identity is given as;

cos(∠ABC-60°) = 3/10 - 2/5√3

Option D

From the information given, we have that the expression is given as;

cos(∠ABC-60°)

This is simplified as;

cos (B - 60)

Now, let us expand the bracket, we get;

(1/2)cos(B) + (sqrt(3)/2)sin(B).

We have that the identities are expressed as;

cos B = 3/5

sin B = 4/5

Substitute the values, we get;

cos(∠ABC-60°) = 1/2 × 3/5 - √3/2 × 4/5

divide the values, we have;

cos(∠ABC-60°) = 3/10 - 2/5√3

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Answer:

0. 074

Step-by-step explanation:

The result of 14/27 divided by 7 in simplest form is 14/189.

To divide 14/27 by 7, rewrite 7 as a fraction with a denominator of 1:

7 = 7/1

Now, perform the division:

= (14/27) ÷ (7/1)

= (14/27) * (1/7)

To multiply fractions, multiply the numerators and denominators:

= (14/27) * (1/7)

= (14 * 1) / (27 * 7)

= 14/189

Therefore, the result is 14/189.

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Answer:

64

Step-by-step explanation:

-4(m-n)^2

when m=3 and n=-1

-4(3-(-1))^2=

-4(3+1)^2=

-4(4)^2=

-4(16)=-64

correct answer is -64

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Answer: 584 yds

Step-by-step explanation:

3mi-3mi=0

1622-1038=584yds