Find the value of the oblique prism to the nearest tenth.

The volume of a gas as 100 degrees temperature given at constant pressure is 20 degrees

According to the question;

Since, the proportion is an inverse proportion as described, it follows that;

where,

20 = k/50

20 × 50 = k

1000 = k

If

temperature is 100 degrees?

V = 10 degrees

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Answer:

V = 40

T = 100

Answer:

95% of all students at private universities pay less than $58,302.5.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of $50,900, standard deviation of $4,500

This means that \(\mu = 50900, \sigma = 4500\)

Ninety-five percent of all students at private universities pay less than what amount?

Pay less than the 95th percentile, and the amount is given by X when Z has a pvalue of 0.95, so X when Z = 1.645.

\(Z = \frac{X - \mu}{\sigma}\)

\(1.645 = \frac{X - 50900}{4500}\)

\(X - 50900 = 1.645*4500\)

\(X = 58302.5\)

95% of all students at private universities pay less than $58,302.5.

To find all points on the x-axis that are 16 units away from the point (5, -8), we can use the distance formula. The distance between two points (x₁, y₁) and (x₂, y₂) is given by the formula:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

In this case, the y-coordinate of the point (5, -8) is -8, which lies on the x-axis. So, any point on the x-axis will have a y-coordinate of 0. Let's substitute the given values and solve for the x-coordinate.

d = √((x - 5)² + (0 - (-8))²)

Simplifying:

d = √((x - 5)² + 64)

Now, we want the distance d to be equal to 16 units. So, we set up the equation:

16 = √((x - 5)² + 64)

Squaring both sides of the equation to eliminate the square root:

16² = (x - 5)² + 64

256 = (x - 5)² + 64

Subtracting 64 from both sides:

192 = (x - 5)²

Taking the square root of both sides

√192 = x - 5

±√192 = x - 5

x = 5 ± √192

Therefore, the two points on the x-axis that are 16 units away from the point (5, -8) are:

Point 1: (5 + √192, 0)

Point 2: (5 - √192, 0)

In summary, the points on the x-axis that are 16 units away from the point (5, -8) are (5 + √192, 0) and (5 - √192, 0).

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Answer:

40 students are in the class :)

Step-by-step explanation:

35%=14

1%=14/35=0.4

0.4*100=40=100%

Answer:

Each goal gives 5 points and a penalty costs 7 points.

Step-by-step explanation:

Let a penalty cost = x points

And a goal gives = y points

Ben makes 7 goals and 2 penalties ending the game with 21 points,

7y - 2x = 21 --------(1)

Alyssa makes 10 goals and 8 penalties ending the game with (-6) points,

10y - 8x = -6

5y - 4x = -3 --------(2)

Equation (1) multiplied by 2, then subtracted from equation (2),

(5y - 4x) - 2(7y - 2x) = -3 - 2(21)

5y - 4x - 14y + 4x = -3 - 42

-9y = -45

y = 5

From equation (1)

7(5) - 2x = 21

35 - 2x = 21

2x = 35 - 21

2x = 14

x = 7

Therefore, each goal gives 5 points and a penalty costs 7 points.

From the given information we know that he can get 3 dinars for every $4, then we can express the following proportion:

3dinars /4 dollars

We express it with the dinars in the numerator since we are asked to find how many dinars would he get if he exchanged $300, we can calculate the corresponding dinars by multiplying the proportion by 300, like this:

300*3/4 = 225

Then Mike would get 225 dinars if he exchanges $300

Answer:

\(4.8038\) or just \(4\) quarts.

Hope this helps!

Answer:     the value of A is 2

Step-by-step explanation:

Answer:

\(x=20\)

Step-by-step explanation:

\(x^2=8(8+42)\)

\(x^2=8*50\)

\(x=20\)

~

Answer:

ur mom

Step-by-step explanation:

ur mom + 3= 69

The volume of the storage tank to the nearest hundredth is 2840.04 m³.

Given that, the conical tank has a height of 23.7 meters and a diameter of 21.4 meters.

The volume of a cone is the amount of space occupied by a cone in a three-dimensional plane. A cone has a circular base, which means the base is made of a radius and diameter.

The volume of a cone formula is 1/3 πr²h.

Put h=23.7 meters and radius = 21.4/2 = 10.7 meters in the volume of a cone formula

That is, 1/3 × 3.14 × (10.7)² × 23.7

= 2840.0389 m³

≈ 2840.04 m³

Therefore, the volume of the storage tank to the nearest hundredth is 2840.04 m³.

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9514 1404 393

Answer:

Step-by-step explanation:

The attached diagram shows that segments AC and BD are congruent by using a single hash mark on each of those segments. If other segments are congruent, but not congruent to these two, the "decoration" would be different, probably two hash marks. Segments marked with the same "decoration" are intended to be understood as congruent.

__

The "decoration" used for congruent angles is an arc of some kind. Here, a single arc is used to signify angle CAB is congruent to angle DBA. Additional arcs could be used for other congruent angles, or hash marks can be put on the arcs.

Question Correction

The functions are \(f(x) = 3x^2, g(x)=\frac{1}{3x},$ and h(x) = 3x.\)

Answer:

(D)The range of f(x) and h(x) is all real numbers, but the range of g(x) is all real numbers except 0.

(E)The domain of f(x) and h(x) is all real numbers, but the domain of g(x) is all real numbers except 0.

Step-by-step explanation:

Definition: Given a function f(x):

In g(x), there is no value of x that will make g(x)=0. Therefore, the range of f(x) and h(x) is all real numbers, but the range of g(x) is all real numbers except 0.

In g(x), when x=0

\(g(x)=\frac{1}{3(0)}=\frac{1}{0}\)

Therefore,g(x)  is undefined at x=0.

However, at x=0, f(x)=0 and h(x)=0 which are defined.

Therefore, the domain of f(x) and h(x) is all real numbers, but the domain of g(x) is all real numbers except 0.

ANSWER

(D)The range of f(x) and h(x) is all real numbers, but the range of g(x) is all real numbers except 0.

(E)The domain of f(x) and h(x) is all real numbers, but the domain of g(x) is all real numbers except 0.

Step-by-step explanation:

2021 EDGE

On solving the provided question, we can say that the probability of the red die rolling is 16.67% probability = 0.1667

A branch of mathematics called probability theory determines the chance that an event will occur or that a statement is true. A probability is a number between 0 and 1, where 1 denotes certainty and about 0 denotes how probable an event is to occur. The possibility or likelihood that a specific event will occur is expressed numerically as a probability. Probabilities can also be expressed as percentages from 0% to 100% or as numbers between 0 and 1. the proportion of occurrences among all equally likely alternatives that lead to a certain event relative to all possible outcomes.

red die, there are 3 numbers greater than 3 out of 6 numbers

Probability (A) = 3/6 = 1/2.

green die, there are 2 numbers less than 3 out of 6 numbers

Probability (B) = 2/6 = 1/3.

events are independent

P(A and B) = \(P(A)P(B) = 1/2 X 1/3 = 1/6 = 0.1667\)\(P(A)P(B) = 1/2 X 1/3 = 1/6 = 0.1667.\)

16.67% probability = 0.1667

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Answer:

The value of test statistic

   |Z| = |-2.2883| = 2.2883

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 57.7miles/gallon

The standard deviation of the Population = 1.9

The mean of sample x⁻ = 57.4

Given that the sample size 'n' =210

level of significance = 0.1

Step(ii):-

Test statistic

        \(Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }\)

       \(Z = \frac{57.4-57.7}{\frac{1.9}{\sqrt{210} } }\)

      Z = -2.2883

  |Z| = |-2.2883| = 2.2883

Final answer:-

The value of test statistic

   |Z|  = 2.2883

Answer: 114

Step-by-step explanation: You have 43 new catfish then you catch 88 but 17 of them have already been marked so you do not want to count those in the estimated population again because they have already been counted so you take 88 minus 17 and you get 71 new fish. So then you add the first new sample of fish 43 and then you add the second new sample of fish 71 and then you get 114

1. Find the graph of the parabola attached below

2. Vertex (-4, 2)   Focus (-7/2, 2)  Directrix (x = -9/2)  Endpoints (-7/2, 1) (-7/2, 3)

For the parabola,  x = 1/2(y-2)² - 4 we will use the equation x = 4p(y-k)² + h,

Vertex → (h, k)

In our given equation, (y - 2) → (y - k), so k = 2. The term on the rightmost side of our equation (-4) → h in the form, so we know h = -4. ∴  vertex (-4, 2).

focus → (h, k) = (-4, 2); P = 1/2

Parabola is symmetric around the x axis and so the focus lies a distance P, from the center, along the x axis.

∴  Focus is (-4 + p, 2)

(-4 + 1/2, 2) ⇒ (-7/2, 2)

directrix → x = d

Parabola is symmetric around the x axis and therefore the directrix is a line paralled to the y axis a distance away from the ceter (-4, 2) x coordinate.

∴ x = -4 - p   ⇒ x = -4 - 1/2

x = 9/2

focal chord endpoints →

The focus of the parabola is (-7/2, 2).

The y-coordinate of the focus is 2, so the y-coordinates of the endpoints of the focal chord are 2 + 1 and 2 - 1, → 3 and 1.

Therefore, the endpoints of the focal chord are:

(-7/2, 3) and (-7/2, 1).

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Answer: 1/9

Step-by-step explanation: add all the numbers up, so 4+6+2=12, which is the denominator. First, we find the rasin bagel, which 8/12=4/6=2/3 times the number of plain bagel which is 2/12, or 1/6. 2/3*1/6=2/18=1/9. Tell me if I get it right or not.

Answer: What number is 5.5% of 110

Step-by-step explanation:

Answer:

5.5% of 110 = 6.05

Step-by-step explanation:

hope that helps

The surface area of the vase is 168.4 square inches.

What is a cylinder?

A cylinder is a three-dimensional geometric shape that has two congruent circular bases connected by a curved surface.

The surface area of the cylindrical vase can be found using the formula SA = B + Ph, where B is the area of the base, P is the perimeter of the base, and h is the height of the vase. Since the vase has a circular base, the area of the base can be found using the formula for the area of a circle: B = πr², where r is the radius of the base.

The diameter of the vase is 4.3 inches, so the radius is half of that, or 2.15 inches. The area of the base is therefore:

B = πr² = 3.14 * (2.15)² ≈ 14.46 square inches.

The perimeter of the base is the circumference of the circle, which can be found using the formula C = 2πr:

P = 2πr = 2 * 3.14 * 2.15 ≈ 13.53 inches.

Now we can use the formula SA = B + Ph to find the surface area of the vase:

SA = B + Ph = 14.46 + 13.53 * 11 ≈ 168.39 square inches.

Rounding to the nearest tenth of a square inch, the surface area of the vase is approximately 168.4 square inches.

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Answer:

Exponential decay is represented by the equation:

y = a * e^(-bx)

where:

y is the final value

a is the initial value

b is the decay rate

x is the time variable

The exponential decay rate, b, can be found by taking the natural logarithm (ln) of both sides of the equation, then rearranging to isolate the decay rate:

ln(y/a) = -bx

b = -ln(y/a)/x

So, to find the exponential decay rate, you would need to know the initial value (a), the final value (y), and the time elapsed (x). Then, you can use the formula above to calculate the decay rate, b.

The expressions "1+b" and "1-b" are not sufficient to find the exponential decay rate, as they do not contain enough information about the specific scenario or data set.

if this helps, can you please mark my answer brainliest?

Answer:

V = 460.68

Step-by-step explanation:

V=(lwh)/3

a)  the median of the data set is 643. b) the mean of the data set is approximately 556.9. c)  there are no modes in this data set.

(a) To find the median of the data set, we first need to arrange the numbers in ascending order: 301, 386, 409, 539, 643, 655, 661, 679, 739.

Since there are 9 data points, the median will be the middle value. In this case, the fifth value is 643.

Therefore, the median of the data set is 643.

(b) To find the mean of the data set, we add up all the values and divide by the total number of values:

Mean = (301 + 386 + 409 + 539 + 643 + 655 + 661 + 679 + 739) / 9

    = 5012 / 9

    ≈ 556.9

Therefore, the mean of the data set is approximately 556.9.

(c) To determine the number of modes and their values, we look for the values that appear most frequently in the data set.

From the given data set, we can see that there is no value that appears more than once. Hence, there are no modes in this data set.

Therefore, the data set has no modes.

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Answer:Find out the magnitude of each line segment

A=(-4, 1)

B= (-7, 5)

C=(0, 1)

Plot out the triangle to find out what the general shape of the triangle looks like since we need height.

A-B= √(-4+7)²+(1-5)²

=5

B-C=√(-7)²+(5-1)²

= √53

C-A=√(4)²+(1-1)²

=4

Find midpoint of B-C because line segment between A and B-C would be the height (according to the rough sketch previously drawn)

B-C= (x, y)= (x₁+x₂/2), (y₁-y₂/2)

(x, y)= (-7+0/2), (5+1/2)

(x, y)= -3.5, 3

Magnitude of A-BC:

√(-3.5+4)²(3-1)²

=√(0.5)²+4

Area=1/2(bh)

a=1/2(√53)(√(0.5)²+4 )

a= 7.5

Hope I helped you understand how you can derive the answer yourself :)

Step-by-step explanation:

Answer:

3. f(3) = 16

4. h(3) = 4

Step-by-step explanation:

3.

f(x) = x² + 7

f(3) = 3² + 7

f(3) = 16

4.

h(x) = 12/x

h(3) = 12/3

h(3) = 4

The inequality on the graph is the third option:

(2/5)*x - 3/2 ≥ y

Let's analyse the graph if the inequality.

We can see that there is a solid linear equation with a positive slope, and the shaded area is below that line, then the inequality is of the form:

y ≤ linear equation.

We know that the symbol "≤" must be used because of the solid line.

We also can see that when x = 0, y takes a velue between -1 and -2.

With that in mind the correct option is the third one:

(4/5)*x - 2y ≥ 3

Isolating y we get:

(4/5)*x - 3 ≥ 2y

(2/5)*x - 3/2 ≥ y

Changing the order:

y ≤ (2/5)*x - 3/2

That is the graphed inequality.

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Answer:

Step-by-step explanation:

Answer:

2/4%

Step-by-step explanation:

Answer:

Answer 1008

Step-by-step explanation: