there are six basketball players in this experiment. each player attempts a free throw. is it appropriate to use the binomial probability distribution to find the probability that out of six free throws there will be exactly 3 successful free throws made? yes. the trials are independent, identical, have only two outcomes, have the same p(success), and the number of trials is fixed. no. the trials are not independent. no. the trials have more than two outcomes. no. the trials do not have the same p(success). no. the trials are not identical. no. the number of trials is not fixed. if the answer is yes, give the values of n, r, and p. if the answer is no, type n/a in the answer boxes. n

Answer:

a.

perimeter of rectangular = 2 times length + 2 times wide = 2L + 2W = 2 (L + W)

since L is x m and W is y meter, then

perimeter = 2 (L + W) = 2 (x + y)

p = 2(x + y)

(the correct is actually this one

70 ≤ 2(x+y) ≤ 96

b. minimum perimeter

to find minimum perimeter, use the minimum length (which is 20) and minimum wide (which is 15)

p(min) = 2 * ( x(min) + y(min))

p(min) = 2 * (20 + 15)

p(min) = 2 * (35) = 70

c. maximum perimeter

to find maximum perimeter, use the maximum length (which is 30) and maximum wide (which is 18)

p(miax) = 2 * ( x(max) + y(max))

p(max) = 2 * (30 + 18)

p(max) = 2 * (48) = 96 m

Answer:

B

Step-by-step explanation:

15>22+x

or, -x+15>22

or, -x>22-15

or, -x>7

or, x<-7 is your answer.

Answer:

7 divided by 4 is 1 ¾ as a fraction

Step-by-step explanation:

Answer:

7/4 = 1 3/4

Step-by-step explanation:

The total revenue of the previous year is $10,000.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Total revenue for this year = $7100

This is 29% less than the total revenue of last year.

This means,

(100% - 29%) = $7100

71% = $7100

The total revenue last year.

= 100%

71% = $7100

100% = 100/71 x $7100

100% = 100 x 100

100% = $10,000

Thus,

Last year's total revenue is $10,000.

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Answer: 60,000

Step-by-step explanation:

because it is more you will need to add 100% to 29%

that 129% get converted into 1.29

77,400/1.29 is 60,000

Answer:

12,000

Step-by-step explanation:

just multiply 6,000 by 2

Answer:

no 0.250 is not greater than 3/8

Step-by-step explanation:

because when you make 3/8 into a decimal it becomes 0.375 so no

Answer:

No. 0.25 is not greater than 3/8

Step-by-step explanation:

Convert 3/8 to a decimal.

1/8 = 0.125 in decimal form.

Multiply this by 3.

3/8 = 0.375.

0.375 > 0.250

Your answer will be 0.25 < 3/8

The tank will hold 125,600 cubic feet of wastewater when it is filled to a depth of 25 ft.

The volume of a cylinder is given by the formula:

Volume = πr²h

where r is the radius of the cylinder, h is its height (which is equal to the depth of the liquid in this case), and π is a constant approximately equal to 3.14.

We are given that the diameter of the tank is 80 ft, which means that the radius is half of this value:

radius = diameter/2 = 80 ft/2 = 40 ft

We are also given that the liquid inside the tank is 25 ft deep, so this is the height of the cylinder. We can now use the formula for the volume of a cylinder to calculate how many cubic feet of wastewater the tank will hold:

Volume = πr²h

Volume = 3.14 x (40 ft)² x 25 ft

Volume = 3.14 x 1600 ft² x 25 ft

Volume = 125,600 ft³

Therefore, the tank will hold 125,600 cubic feet of wastewater when it is filled to a depth of 25 ft.

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Answer: f = 12.5

Step-by-step explanation:

\(f = \frac{25}{2} \\decimal form = 12.5\\ mixed fraction form 12 \frac{1}{2}\)

Answer:

Step-by-step explanation:

find the semiperiter (1/2 perimeter or L+W)

80 : 2 = 40

now we know that 4z + 2 + 3z + 3 = 40

we solve for z with an equation

4z + 2 + 3z + 3 = 40

7z = 40 - 2 - 3

7z = 35

z = 35 : 7

z = 5

now we find CD

3z + 3 =      (z=5)

3 * 5 + 3 =

15 + 3 =

18

-------------------------------

check (remember pemdas)

4z + 2 + 3z + 3 = 40

4*5+2+3*5+3 = 40

20+2+15+3=40

40 = 40

the answer is good

As similarity theorem, the value of x that will make the triangles similar by SSS similarity theorem is 77.

Similarity theorem:

In math, similarity theorem refers the line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.

Given,

Here we need to find the t value of will make the triangles similar by the similarity theorem.

For example, we are told that the 2 triangles are similar by SSS theorem.

Here we know that, SSS means Side - Side -Side and it is a congruence theorem which states that the 3 corresponding sides of two triangles have same ratio, then we can say that the two triangles are congruent by SSS theorem

Therefore, in the triangles ,applying the SSS postulate gives;

=> x/35 = 44/20

Then by applying the multiplication property of equality, let us multiply both sides by 35 to get;

=> x = (44 * 35)/20

When we simplify this one then we get,

=> x = 77

Therefore, the value of x is 77.

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Answer:

Option h: 16h

Step-by-step explanation:

To get the answer to the question divide 480 by 30 to get the rate which is 16. So the answer would be H

If 2 angles are formed on a line, then they make a supplementary / linear pair of angles, i.e, both the angles form 180°.

Here,

Angle A = 80°

Angle B = x°

So,

Angle A + Angle B = 180°

80° + x° = 180°

x° = 180° - 80°

x° = 100°

=》 Angle B = 100°

_____

Hope it helps ⚜

It is better to buy 2-64 oz bottles of liquid dish soap for $8.39.

Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.

Given that, the store sells 2-64 oz bottles of liquid dish soap for $8.39 or 3 - 40 oz bottles at $7.20.

2 pounds = 32 oz

So, 32+64=96 oz

Now, 8.39/96

= $0.087 per oz

Here, 3 - 40 oz = 88 oz

Unit rate = 7.20/88

= $0.081 per oz

Therefore, it is better to buy 2-64 oz bottles of liquid dish soap for $8.39.

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According to the given information, the measure of the larger acute angle in the 3-4-5 right triangle is approximately 36.87 degrees.

What is 3-4-5 right angle triangle?

A 3-4-5 right triangle is a right triangle where the lengths of the three sides are in the ratio of 3:4:5. In other words, the length of the longest side (the hypotenuse) is 5 times the length of the shortest side, and the length of the remaining side is 4 times the length of the shortest side. This special right triangle has angles of 30 degrees, 60 degrees, and 90 degrees, which are the angles of a 30-60-90 triangle. The sides of a 3-4-5 right triangle can be scaled up or down by any common factor (e.g. 6-8-10, 9-12-15, etc.) and will still form a right triangle with the same angles.

In a 3-4-5 right triangle, the larger acute angle is opposite to the longer leg, which has a length of 4. To find the measure of this angle, we can use the inverse tangent function:

tan(theta) = opposite / adjacent = 3/4

\(theta = tan^{-1} (3/4)\)

Using a calculator, we can find that:

theta ≈ 36.87 degrees

Therefore, the measure of the larger acute angle in the 3-4-5 right triangle is approximately 36.87 degrees.

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Hay 1200 gomas de borrar en total en las 4 cajas.

Para saber la cantidad de gomas de borrar que hay en 4 cajas, Don Jacinto necesita multiplicar la cantidad de gomas de borrar en cada caja (300) por la cantidad de cajas (4).

La operación que debe hacer es:

300 * 4

El resultado de esta multiplicación es:

300 * 4 = 1200

Es importante notar que en el escenario dado, la información inicial acerca de que Don Jacinto tiene 230 cuadernos no es relevante para encontrar el número de borradores en las 4 cajas. Solo necesitamos considerar el número de gomas de borrar en cada cuadro (300) y el número de cajas (4) para realizar la multiplicación y calcular el número total de gomas.

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(0,0), (1,1), and (2,1)

Given the linear inequality, y < 0.5x + 2.

To find which points are solutions to this linear inequality, we can substitute the coordinate points and check if the inequality is satisfied or not. If the inequality is satisfied, the coordinate point is a solution and if it is not satisfied then it is not a solution.

Let's check the points one by one;

Option 1: (1,1)

y < 0.5x + 2 becomes

1 < 0.5(1) + 21 < 0.5 + 21 < 2.5

The inequality is true, so (1,1) is a solution.

Option 2: (2,1)

y < 0.5x + 2 becomes

1 < 0.5(2) + 21 < 1 + 21 < 3

The inequality is true, so (2,1) is a solution.

Option 3: (0,0)

y < 0.5x + 2 becomes

0 < 0.5(0) + 20 < 2

The inequality is true, so (0,0) is a solution.

Hence, the three options that are solutions to the linear inequality y < 0.5x + 2 are: (1,1), (2,1), and (0,0).

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Answer:

A. \(UPC = 0-03700-80049-9\)

Step-by-step explanation:

Given

\(ID = 037000\)

\(Item\ Number = 80049\)

Required

The valid UPC

First, the UPC is represented as:

UPC = ID followed by item number followed by the checksum

So, we have:

\(upc = 0-03700-80049-X\)

To calculate X (the checksum)

Add up digits at odd positions

\(Odd = (0 + 7 + 0) + (8 + 0 + 9)\)

\(Odd = 24\\\)

Multiply by 3

\(Product = Odd * 3\)

\(Product = 24 * 3\)

\(Product = 72\)

Add up digits at even positions

\(Even = (3 + 0 + 0) + (0 + 4)\)

\(Even = 7\)

Add the product and the sum of even

\(Result = Product + Even\)

\(Result = 72+7\)

\(Result = 79\\\)

The last digit of the UPC is 9.

Hence, the UPC is:

\(UPC = 0-03700-80049-9\)

The objective of this research is to collect data on a specific component of the off-campus student population.The amount of time they spend travelling to courses each week.

a) The population for this study is all off-campus students at this college, and the sample is a random sample of 45 off-campus students who are polled. The sample is chosen at random to be representative of the entire population.

b) The data being gathered is the amount of time the surveyed students spend each week travelling to school. Because it reflects a numerical measurement, this is quantitative data. This information will be used to calculate the average commuting time for off-campus students and to identify any possible concerns or areas for improvement in commuting.

c) This is a descriptive research, since it seeks to characterise and summarise the features of the off-campus student population in terms of commuting time. The study's purpose is to better understand off-campus students' commuting patterns and gather ideas into how to enhance their commuting experience.

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Answer:

answer: 184.5

Hope this helps!

I cut it like that then multiplied the top piece like this 6.5 x 5 = 32.5 then i did the upside down triangle which the formula for that is base x height ÷ 2 so i did 16 x 5 = 80 then divide that by 2 and I get 40 then I did the bottom triangle which is 14 x 16 = 224 then I divide that by 2 = 112 then I add all of these up so......

32.5 + 40 + 112 = 184.5 Hope this clarifies its just hard to explain without a visual hopefully this makes sense to you!

The derivative \(\( y' \)\) of the implicit function \(\( y^2 - xy = -2 \)\) is 0, indicating a constant slope with no change in relation to \(\( x \)\).

To find \(\( y' \)\)for the implicit function \(\( y^2 - xy = -2 \)\), we can differentiate both sides of the equation with respect to \(\( x \)\) using the chain rule. Let's go step by step:

Differentiating \(\( y^2 \)\) with respect to \(\( x \)\) using the chain rule:

\(\[\frac{d}{dx}(y^2) = 2y \cdot \frac{dy}{dx}\]\)

Differentiating \(\( xy \)\) with respect to \(\( x \)\) using the product rule:

\(\[\frac{d}{dx}(xy) = x \cdot \frac{dy}{dx} + y \cdot \frac{dx}{dx} = x \cdot \frac{dy}{dx} + y\]\)

Differentiating the constant term (-2) with respect to \(\( x \)\) gives us zero since it's a constant.

So, the differentiation of the entire equation is:

\(\[2y \cdot \frac{dy}{dx} - (x \cdot \frac{dy}{dx} + y) = 0\]\)

Now, let's rearrange the terms:

\(\[(2y - y) \cdot \frac{dy}{dx} - x \cdot \frac{dy}{dx} = 0\]\)

Simplifying further:

\(\[y \cdot \frac{dy}{dx}\) \(- x \cdot \frac{dy}{dx} = 0\]\)

Factoring out:

\(\[(\frac{dy}{dx})(y - x) = 0 \]\)

Finally, solving:

\(\[\frac{dy}{dx} = \frac{0}{y - x} = 0\]\)

Therefore, the derivative \(\( y' \)\) of the given implicit function is 0.

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Answer:

Step-by-step explanation:

Complementary angles add to 90 degrees, so the measure of its complement is 90-88=2 degrees.

Supplementary angles add to 180 degrees, so the measure of its supplement is 180-88=92 degrees.

I need help too ;-; some one plsssssssss

A fraction represents a part of a whole.40/70, 21/70 are the same fractions like 4/7 and 3/10 with same denominator.

A fraction represents a part of a whole

We need to write 4/7 and 3/10 with the same denominator

The given fractions are 4/7 and 3/10

in 4/7

If numerator and denominator is multiplied with 10

4/7*10/10

we get

40/70

i.e 4/7=40/70

Now

in 3/10

If numerator and denominator is multiplied with 10

3/10*7/7

we get

21/70

i.e 3/10=21/70

Therefore 4/7=40/70 and 3/10=21/70 are two fractions with same denominator.

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Answer:

$29.30

Step-by-step explanation:

10% of $293 equals 10/100*293=29.3

$29.3

AB/A"B" = 2/1orAB = 2A"B" Thus, the correct option is B answer.

Let the coordinates of triangle ABC be denoted by

(x1, y1), (x2, y2), and (x3, y3)

respectively. In order to construct the translated and dilated triangle, we will first translate the original triangle 2 units to the right and then dilate it from the origin by a scale factor of 1/2.The new coordinates of the triangle, A'B'C", can be computed as follows:

A'(x1 + 2, y1 + 0), B'(x2 + 2, y2 + 0), and C'(x3 + 2, y3 + 0).

Then we will dilate the triangle from the origin by a scale factor of 1/2. A"B" will be half as long as AB since the scale factor of dilation is 1/2. Hence, we can express the relationship between AB and A"B" using the equation:AB/A"B" = 2/1orAB = 2A"B"

Option B is correct

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Answer:

Lashonda has driven 16 miles.

Step-by-step explanation:

4/5 = ?/20

You're able to solve the missing variable in a lot of ways, but cross multiplication is one of them.

20 · 4 = 80

80/5 = 16

I hope this helped! Happy new year :)

Answer:34xi

Step-by-step explanation:

Answer:

The final balance is $4,353.56.

The total compound interest is $1,153.56.

Step-by-step explanation:

Answer:

x^2 + y^2 = z^2

There are infinitely many choices for whole numbers x, y, and z.

Answer:

2b - 8z - 6

Step-by-step explanation:

Rearrange the equation, so like terms are near each other

-2b+4b-3z-5z-6

Now we add the b's and z's to get,

2b - 8z - 6

Answer:

2b -8z -6

Step-by-step explanation:

−2b−5z−6+4b−3z​

Combine like terms

−2b+4b−5z−3z​−6

2b -8z -6