A rectangular prism has a volume of 2320.5 in.? a width of 12.75 inches and a height of 14 inches what is the length?

Answer:

  see attached

Step-by-step explanation:

nCk models k objects taken from a group of n.

  nCk = n!/(k!·(n-k)!)

Fill in n=8 and k=3 to get ...

  8C3 = 8!/(3!·5!)

Step-by-step explanation:

According to the graph, the probability of 2 successes is 0.36, which rounds to 0.4.

The number of success is X = 2, the P(success) = 0.4 according to the given histogram.

It's a field of mathematics that studies the probability of a random event occurring. From 0 to 1, the value is expressed.

Number of successes is represented by X (given)

X = 2

The number of successes are plotted on the X - axis of the histogram

So according to the graph , P(success at X = 2) = 0.36

Rounding off the probability to 0.4

Hence, the P(success at X = 2) = 0.4 according to the histogram.

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Answer:

32

Step-by-step explanation:

Since AP and BP are tangents from the same point, they are equal. So 2x+12=4x-8. So solving for x, we get 2x=20. So x=10. Plugging that in, we get 20+12=32. So the answer is 32.

Answer:

50x.2 is the correct expression. :)

Step-by-step explanation:

50x.2 =10

So you would get a $10 discount off of a $50 video game.

Hope this helps! If you don't mind, please mark as brainliest! Thx :)

Answer:

0.80($50)

Step-by-step explanation:

1.00 times the $50 cost is the initial price of the video.

(1.00 - 0.20) times $50 is the discounted price.

0.80($50) is the desired expression.

Next time, please be sure to share the answer choices.  Thanks.

Answer:

it's A&B

Step-by-step explanation:

Answer:

[tex]\large \boxed{\mathrm{\bold{A.} } \ \frac{2}{x^4-y^4} \cdot \frac{1}{x^4 +y^4}} \\\\\\ \large \boxed{\mathrm{\bold{B.} } \ \frac{2}{(x^4)^2 -(y^4)^2 } }[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{2}{x^8-y^8 }[/tex]

Factor the denominator.

[tex]\displaystyle \frac{2}{(x^4)^2 -(y^4)^2 }[/tex]

[tex]\displaystyle \frac{2}{(x^4-y^4)^2 }[/tex]

[tex]\displaystyle \frac{2}{(x^4-y^4)(x^4 +y^4) }[/tex]

Split the fraction into two fractions.

[tex]\displaystyle \frac{2}{x^4-y^4} \cdot \frac{1}{x^4 +y^4}[/tex]

Answer: its not possible

Step-by-step explanation: there are 17 nickels, 11 dimes and 19 pennies, NO dollars

Answer:

360 km

Step-by-step explanation:

The length on the ground will be ...

(24·10^-2 m)·(1.5·10^6) = 36·10^4 m = 360·10^3 m = 360 km

Answer:

The length of river is 360km

Explanation:

Length on the map of Severn river = 24cm

Scale on the map = x:y axis

                               =1:1500000

Where y is the length  

Hence 1 cm= 15 km

Therefore

Length of the river

=24[tex]\times[/tex]15

=360 km

Hence the length of river is 360 km

Answer:

70 points

Step-by-step explanation:

Let n represent Noah's score, m as Maya's score, and c as Claire's score.

n=20

m=30

c=?

Let's try make an equation for this problem. The mean score for the three of them is 40, so the following equation is possible:

n+m+c/3=40

Now replace the variable with their values and continue to simplify.

20+30+c/3=40

Multiply both sides by 3.

20+30+c=120

Add 20 and 30 together.

50+c=120

Subtract 50 from 120 to find c.

c=70

Claire's score is 70 points.

Final answer:

To find Claire's score, calculate the total points based on the mean score and then subtract the scores of Noah and Maya. This calculation reveals that Claire's score was 70 points.

Explanation:

The question asks for the score of Claire based on the mean score of Noah, Maya, and Claire combined. Noah scored 20 points, Maya scored 30 points, and the mean score for all three players was 40 points.

To find Claire's score, we first calculate the total points scored by all three. The mean score is the total points divided by the number of scores, which in this case is 3. Therefore, we multiply the mean score (40 points) by 3 to get the total points.

Mean score × number of players = Total points

40 × 3 = 120 points

Next, we subtract Noah's and Maya's scores from the total to find Claire's score.

Total points - Noah's score - Maya's score = Claire's score

120 points - 20 points - 30 points = 70 points

Therefore, Claire's score was 70 points.

Answer:

Step-by-step explanation:

If the ratio is soda to juice, set up the proportion like this:

[tex]\frac{s}{j}[/tex]

and everything related to soda goes on top and everything related to fruit juice goes on the bottom.  You just want the ratio, so it is best stated as follows:

[tex]\frac{soda}{juice}[/tex]

just to be clear on what s and j mean!

You could use this proportion to solve problems with one unknown.

Answer:

[tex]\boxed{\text{L = 90 in}^{2};\text{ S = 115 in}^{2}}[/tex]

Step-by-step explanation:

Data:

s = 5 in

l = 9 in

1. Lateral surface area

The general formula for the lateral surface area L of a regular pyramid is

L =½pl

where p represents the perimeter of the base and l the slant height.

The base is a square, so

p = 4 × 5 = 20 in

L = ½pl = ½ × 20 × 9 = [tex]\boxed{\text{90 in}^{2}}[/tex]

2. Total surface area

Total surface area = lateral surface area + area of base

S = L + B

B = b² = 5² = 25 in²

S = 90 + 25 = [tex]\boxed{\text{115 in}^{2}}[/tex]

Answer:

Translate 6 units to the right.

Step-by-step explanation:

The y = x^2 function is a quadratic function with vertex at (0,0). It can be transformed to have a vertex of (6,0) like the function y = (x-6)^2 by shifting it 6 units to the right. It is now the graph of y = (x-6)^2.

The equation y = (x - 6)² represents a transformation of the graph y = x², specifically a horizontal shift 6 units to the right on the 2-dimensional (x-y) plane.

To transform the graph of y = x² to the graph of the equation y = (x – 6)², you must understand that these both take the form of a quadratic equation, producing a parabola when graphed. The difference between these two equations is indicated by the term '– 6' in the x of the second equation which corresponds to a horizontal shift in the graph.

In the equation y = (x – 6)², this specifically means that the graph of y = x² is shifted 6 units to the right. This shift doesn't change the shape of the graph, it only moves the location in the 2-dimensional (x-y) plane. So, when you plot data pairs for both y = x² and y = (x – 6)², the second graph would be identical to the first, just moved 6 units to the right.

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Answer:

The third choice is correct

Step-by-step explanation:

The given expression is

[tex]2^n-1[/tex]

when n=7, we substitute into the formula to obtain;

[tex]2^7-1[/tex]

Note that;

[tex]2^7=2\times 2\times 2\times 2\times 2\times 2\times 2=128[/tex]

[tex]2^7-1=128-1=127[/tex]

The third choice is correct

Answer:

[tex]\large\boxed{x=4}[/tex]

Step-by-step explanation:

[tex]3\log_4x=\log_432+\log_42\qquad\text{use}\ \log_ab^c=c\log_ab\ \text{and}\ \log_ab+\log_ac=\log_a(bc)\\\\\log_4x^3=\log_4(32\cdot2)\\\\\log_4x^3=\log_464\iff x^3=64\to x=\sqrt[3]{64}\\\\x=4[/tex]

Answer: 4

Step-by-step explanation: Its on EDG

Answer:

I have no idea what you're asking for but I got y= -3/4x+3 as the equation for the line.

ANSWER

[tex]y = \frac{3}{4}x + 15[/tex]

EXPLANATION

The given line passes through the point

(-8,9) and has a slope be of

[tex]m = \frac{3}{4} [/tex]

We obtain the equation of this line using

[tex]y-y_1=m(x-x_1)[/tex]

We plug in the values into the formula to get,

[tex]y - 9 = \frac{3}{4} (x - - 8)[/tex]

[tex]y = \frac{3}{4} (x + 8) + 9[/tex]

Expand the parenthesis to get:

[tex]y = \frac{3}{4}x + 6 + 9[/tex]

[tex]y = \frac{3}{4}x + 15[/tex]

2 bill of 20 and 3 of 1

Answer:

Debit card

Step-by-step explanation:

Answer:

i think its 20

Step-by-step explanation:

Answer:

x = 12.8 cm

Step-by-step explanation:

Using the sine ratio in the right triangle to solve for x

sin70° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{12}{x}[/tex]

Multiply both sides by x

x × sin70° = 12 ( divide both sides by sin70° )

x = [tex]\frac{12}{sin70}[/tex] ≈ 12.8

The circumference of the circle is 18.84 cm and the area is 28.26 cm².

To find the circumference of a circle, we use the formula C = πd, where d is the diameter. In this case, the diameter is 6 cm, so the circumference is:

C = 3.14 × 6 = 18.84 cm

To find the area of a circle, we use the formula A = πr², where r is the radius. Since the radius is half the diameter, the radius in this case is 6/2 = 3 cm. So the area is:

A = 3.14 × 3² = 28.26 cm²

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1/42

First, find the probability of Willie winning the grand prize. He has 1 ticket out of the 7 total tickets, so the probability is 1/7.

Now, find the probability of Emily winning the second prize. After the grand prize winner has been announced, there are only 6 tickets left. Emily has 1, so the probability is 1/6.

Finally, multiply the two probabilities together to find the probability that they will both happen together. To multiply fractions, multiply the numerators together and multiply the denominators together. This leaves us with (1 * 1) / (7 * 6), which is easy to simplify to 1/42, which is the final probability.

Answer:

1/42

Step-by-step explanation:

Answer:

A(2,15)

Step-by-step explanation:

Plug it in on the desmos calculator!!! Put the equation first and then add the points and see which one touches the line.

The ordered pair which is on the graph of the given function is (2, 15).

Given: Function

y = 8x - 1

Now, among the given ordered pair (x, y), the pair that satisfies the given function is the point on the graph.

Option (A): (2, 15)

⇒ y = 8x - 1

⇒ 15 = 8(2) - 1

⇒ 15 = 16 - 1

⇒ 15 = 15

Hence, this ordered pair is on the graph of the given function.

This option is correct.

Option (B): (8, -1)

⇒ y = 8x - 1

⇒ -1 = 8(8) - 1

⇒ -1 = 64 - 1

⇒ -1 ≠ 63

Hence, this ordered pair is not on the graph of the given function.

This option is incorrect.

Option (C): (8, 1)

⇒ y = 8x - 1

⇒ 1 = 8(8) - 1

⇒ 1 = 64 - 1

⇒ 1 ≠ 63

Hence, this ordered pair is not on the graph of the given function.

This option is incorrect.

Option (D): (15, 2)

⇒ y = 8x - 1

⇒ 2 = 8(15) - 1

⇒ 2 = 120 - 1

⇒ 2 ≠ 119

Hence, this ordered pair is not on the graph of the given function.

This option is incorrect.

Therefore, (2, 15) is the only ordered pair on the graph of the given function.

Hence, Option (A) is correct.

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[tex] {2}x^{2} + 8 {y}^{2} = 16 \\ \\ 1. \: {2x}^{2} = - 8 {y}^{2} + 16 \\ 2. \: {x}^{2} = - 4y^{2} + 8 \\ 3. \: x = \sqrt{ - 4y^{2} + 8} \\ x = - \sqrt{ - 4y^{2} + 8 } \\ \\ answer \\ x = \sqrt{ - 4y^{2} + 8 } \\ x = - \sqrt{ - 4y^{2} + 8} [/tex]

Answer:

Step-by-step explanation:

2x² + 8y² = 16

divide both sides of equation by the constant

2x²/16 + 8y²/16 = 16/16

x²/8 + y²/2 = 1

x² has a larger denominator than y², so the ellipse is horizontal.

General equation for a horizontal ellipse:

  (x-h)²/a² + (y-k)²/b² = 1

with

  a² ≥ b²

  center (h,k)

  vertices (h±a, k)

  co-vertices (h, k±b)

  foci (h±c, k), c² = a²-b²

Plug in your equation, x²/8 + y²/2 = 1.

(x-0)²/(2√2)² + (y-0)²/(√2)² = 1

h = k = 0

a = 2√2

b = √2

c² = a²-b² = 6

c = √6

center (0,0)

vertices (0±2√2,0) = (-2√2, 0) and (2√2, 0)

co-vertices (0, 0±√2) = (0, -√2) and (0, √2)

foci (0±√6, 0) = (-√6, 0) and (√6, 0)

Answer:

c. 99.72% of the time the random variable assumes a value within plus or minus 1 standard deviation of its mean

Step-by-step explanation:

In a normal distribution, the shape is bell-shaped; this means it is symmetric.

The area under a normal distribution will always be equal to 1.

The mean, median and mode in a normal distribution are equal.

However, the data assumes values within 1 standard deviation above or below the mean 68% of the time, not 99.72% of the time.  This is the characteristic that doesn't fit.

The statement which is not a characteristic of the normal distribution is:

c. 99.72% of the time the random variable assumes a value within plus or minus 1 standard deviation of its mean.

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Answer:

possible values of 4th term is 80 & - 80

Step-by-step explanation:

The general term of a geometric series is given by

[tex]a(n)=ar^{n-1}[/tex]

Where a(n) is the nth term, r is the common ratio (a term divided by the term before it) and n is the number of term

[tex]ar^{5-1}=40\\ar^4=40[/tex]

[tex]ar^{7-1}=10\\ar^6=10[/tex]

We can solve for a in the first equation as:

[tex]ar^4=40\\a=\frac{40}{r^4}[/tex]

Now we can plug this into a of the 2nd equation:

[tex]ar^6=10\\(\frac{40}{r^4})r^6=10\\40r^2=10\\r^2=\frac{10}{40}\\r^2=\frac{1}{4}\\r=+-\sqrt{\frac{1}{4}} \\r=\frac{1}{2},-\frac{1}{2}[/tex]

Let's solve for a:

[tex]a=\frac{40}{r^4}\\a=\frac{40}{(\frac{1}{2})^4}\\a=640[/tex]

Now, using the general formula of a term, we know that 4th term is:

4th term = ar^3

Plugging in a = 640 and r = 1/2 and -1/2 respectively, we get 2 possible values of 4th term as:

[tex]ar^3\\1.(640)(\frac{1}{2})^3=80\\2.(640)(-\frac{1}{2})^3=-80[/tex]

possible values of 4th term is 80 & - 80

Answer:

  B.  14.34

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between the side opposite the angle of interest and the hypotenuse:

  Sin = Opposite/Hypotenuse

For the given triangle, this means ...

  sin(35°) = b/25

  b = 25·sin(35°)

  b ≈ 14.34

Answer:

C $2392

Step-by-step explanation:

interior is the angle

Answer:

1 = 139 degrees

Step-by-step explanation:

You can use the corresponding angles theorem

the answer of this question is 8 bro..........................................................

Answer:

d. 4,-5,-2

Step-by-step explanation:

The values of {a}, {b} and {c} in the quadratic equation are a = 4, b = 5, c = 2 respectively.

A quadratic equation is a equation that is of the form -

y = f{x} = ax² + bx + c.

Given is the quadratic equation as follows -

5x + 4x² + 2 = 0

The given quadratic equation is -

5x + 4x² + 2 = 0

4x² + 5x + 2 = 0

A quadratic equation is of the form -

ax² + bx + c

So, on comparing, we get -

a = 4, b = 5, c = 2

Therefore, the values of {a}, {b} and {c} in the quadratic equation are a = 4, b = 5, c = 2 respectively.

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Answer:

It's C.

Step-by-step explanation:

The red curve  pass through the point (0, 1) and also y = 2 when x = 1 ,  so this is y = 2^x. The inverse is the reflection of  f(x) in x = y so the blue curve is y = log2 x.

The two equation shown in the graph are y = e^x and y = lnx.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable).

The red line shown in the graph represents y = e^x

The graph of y = e^x will never have a negative value of y, as the value of x increases the value of y will keep on increasing till ∞ . The value of y at x = 0 is 1, so the graph will cross the y-axis at (0,1).

The blue line shown in the graph represents y = lnx

The value of y will be negative when the value of x lies between 0 and 1 after that the value of y will keep on increasing and the point (1,0) satisfies the equation so it will cross the X - axis at (1,0)

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Answer:

0

Step-by-step explanation:

Each expression is a way to write the sum ...

3 + 5 + 7 + 9

That sum in each case is 24, so the difference is 24-24 = 0.

Answer:

it is not 0 !!!

Step-by-step explanation:

got it wrong bc of top answer

Answer:

23 students expected to have scores greater than 60.

Step-by-step explanation:

60 is 2 standard deviations above the mean.  This translates into a z-score of +2.  According to a table of z-scores, the area under the standard normal curve to the left of z = 2 is 0.9772; that to the right of z = 2 is 1.0000 - 0.9772, or 0.0228.  This 0.0228 represents the probability that a given score is greater than 60.

This fraction (0.0228) of 1000 students comes out to 23 (rounded up from 22.75).

Final answer:

To find the expected number of students who had scores greater than 60 on a standardized test, we can calculate the probability using the properties of the normal distribution. The expected number is approximately 23 students.

Explanation:

To find the expected number of students who had scores greater than 60, we can use the properties of the normal distribution. We know that the mean score is 50 and the standard deviation is 5. We want to find the probability of getting a score greater than 60. First, we need to calculate the z-score for a score of 60 using the formula:

z = (x - μ) / σ

where x is the score, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:

z = (60 - 50) / 5 = 2

Next, we use a z-table or calculator to find the area to the right of z = 2. This represents the probability of getting a score greater than 60. A z-table or calculator will give us a value of approximately 0.0228.

Finally, we multiply this probability by the total number of students (1000) to find the expected number of students who had scores greater than 60:

Expected number = probability * total number of students = 0.0228 * 1000 = 22.8

Therefore, we can expect approximately 23 students to have scores greater than 60.