If 125 students take a test in psychology and 20 get scores of less than or equal to 50%, then what is the percentile rank of a test score of 50%?



Group of answer choices

12

20

50

16

Answer:

46

Step-by-step explanation:

13 +5 +13+5 •6 witch is 46

Answer:

Open side up: 3/50 because it happened 3 times out of the 50 times he tossed it

Closed side up: 7/50

Landing side: 40/50 = 4/5

Step-by-step explanation:

hope this helps

\(3(x - 2) + 7x = \frac{1}{2} (6x - 2) \)

\(3(x - 2) + 7x = \frac{1}{2} (6x - 2) \\ \\ \implies3x - 6 + 7x = ([\frac{1}{2} \times 6 \: x] - [\frac{1}{2} \times 2]) \\ \\ \implies10x - 6 = ([\frac{1}{ \cancel2} \times \cancel 6 \: x] - [\frac{1}{ \cancel2} \times \cancel2]) \\ \\ \implies 10x - 6 = 3x - 1 \\ \\ \fbox{Bringing (3x )to left side whereas( - 6 )in right side} \\ \\ \implies10x - 3x = - 1 + 6 \\ \\ \implies7x = 5 \\ \\ \therefore x = \frac{5}{7} \)

The Solution is = \( \frac{5}{7}\)

\(\text\red{One Solution set is possible.}\)

the answer is fourteen (14)

Answer: \(\frac{1}{27}\)

Step-by-step explanation:

Anything to the third power means it is multiplied by itself 3 times.

   --> \((\frac{1}{3})^{3} =(\frac{1}{3})(\frac{1}{3})(\frac{1}{3})=\frac{1}{27}\)

Simple random sampling is a sort of possibility sampling in which the researcher randomly selects a subset of members from a populace.

Each member of the populace has an same hazard of being decided on. data is then accumulated from as big a percent as feasible of this random subset.Taking a easy random sample from every of a number of subgroups as an instance, decrease-income catholics, middle-earnings protestants.

An example of a simple random pattern will be the names of personnel being chosen out of a hat from a agency of employees. In this case, the populace is all personnel, and the pattern is random due to the fact each employee has an same risk of being chosen.

Random sampling is a part of the sampling technique in which each pattern has an identical chance of being chosen. A pattern selected randomly is meant to be an unbiased illustration of the whole populace.

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Answer:

Step-by-step explanation:

its volume is h.r^2.ℼ

r = radius

h = height

5 x (5x5) x ℼ = 125ℼ

125ℼ is approximately 392.7  

Answer:1 meter and 58 centimeters

Answer:

Step-by-step explanation:

(x,y)→(11.2x,11.2y)

The total angle in a circle is 360 degrees. Thus, for an angke that cuts 2/5 of a circle, the number of degrees would be

2/5 x 360

= 144 degrees

The rate of change of the area of the triangle is decreasing at a rate of 12.5 cm²/s.

We know that the area of a triangle is given by A=1/2 × base × height. Here, we have a triangle with a base that is decreasing at a rate of 5 cm/s and the height being held constant, therefore we need to find the rate of change of the area of the triangle.

Given that the base of a triangle is decreasing at a rate of 5 cm/s and height is held constant.

The base of the triangle (b) = ?

Rate of change of the base = db/dt = -5 cm/s

Height of the triangle = h = 5 cm.

The formula for the area of a triangle is A = 1/2 x b x h.

Substituting the values in the formula, we get,

A = 1/2 x b x 5 cm

Differentiating the formula with respect to time, we get,

dA/dt = 1/2 x (db/dt x h + b x dh/dt)

Since the height is constant, dh/dt = 0

dA/dt = 1/2 x (db/dt x h)

dA/dt = 1/2 x (-5 cm/s x 5 cm)

dA/dt = -12.5 cm²/s

Therefore, the rate of change of the area of the triangle is decreasing at a rate of 12.5 cm²/s.

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Answer:

0 triangles can be formed

Step-by-step explanation:

In order to determine the number of distinct triangles that can be formed with the given information, we need to apply the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Let's start by drawing a rough sketch of the triangle:

     Z

     |\

     | \

     |   \ x

     |     \

     |       \

     X-----Y

      y=2

We know that mZX = 51°, so we can label that angle on our diagram:

     Z

     |\

     | \

     |   \ x

     |     \

     |51°  \

     X-----Y

      y=2

We can use the sine law to find the length of side XY:

sin(51°) = XY / 5

XY = 5 * sin(51°)

XY ≈ 3.95

Now we need to check whether XY is less than the sum of the other two sides, XZ and YZ:

XZ + YZ > XY

2 + √(x² - XY²) > XY

2 + √(5² - 3.95²) > 3.95

2.86 > 3.95 (false)

Since XY is greater than the sum of the other two sides, it is not possible to form a triangle with the given measurements. Therefore, the number of distinct triangles that can be formed is 0.

I hope this helps! And if you could label my answer brainliest that would be awesome.

- Dante

a. the equation for the object's velocity is v(t) = -6 cos(t) - 1. b. the total distance traveled by the object from time 0 to time t is 6 sin(t) + t meters.

a) To find the equation for the object's velocity, we need to integrate the acceleration function with respect to time.

The integral of a(t) = 6 sin(t) with respect to t gives us the velocity function v(t):

v(t) = ∫(6 sin(t)) dt

Integrating sin(t) gives us -6 cos(t), so the equation for the object's velocity is:

v(t) = -6 cos(t) + C

To find the constant C, we use the initial velocity v(0) = -7 m/s:

-7 = -6 cos(0) + C

-7 = -6 + C

C = -1

Therefore, the equation for the object's velocity is:

v(t) = -6 cos(t) - 1

b) To find the object's displacement from time 0 to time 3, we need to integrate the velocity function over the interval [0, 3]:

Displacement = ∫[0,3] (-6 cos(t) - 1) dt

Integrating -6 cos(t) gives us -6 sin(t), and integrating -1 gives us -t. Applying the limits of integration, we have:

Displacement = [-6 sin(t) - t] from 0 to 3

Plugging in the upper and lower limits:

Displacement = [-6 sin(3) - 3] - [-6 sin(0) - 0]

Displacement ≈ -6 sin(3) + 3

Therefore, the object's displacement from time 0 to time 3 is approximately -6 sin(3) + 3 meters.

c) To find the total distance traveled by the object from time 0 to time t, we need to integrate the absolute value of the velocity function over the interval [0, t]:

Total Distance = ∫[0,t] |(-6 cos(t) - 1)| dt

Since the absolute value function makes the negative part positive, we can rewrite the equation as:

Total Distance = ∫[0,t] (6 cos(t) + 1) dt

Integrating 6 cos(t) gives us 6 sin(t), and integrating 1 gives us t. Applying the limits of integration, we have:

Total Distance = [6 sin(t) + t] from 0 to t

Plugging in the upper and lower limits:

Total Distance = [6 sin(t) + t] - [6 sin(0) + 0]

Total Distance = 6 sin(t) + t

Therefore, the total distance traveled by the object from time 0 to time t is 6 sin(t) + t meters.

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The given economic model has four identities, two behavioral equations, three equilibrium conditions, and four variables. The size of the labor force is 2,920,000 and the unemployment rate is 3.22%.

The identities in the model are:

Z ≡ C + I + G: This identity states that total spending (Z) is equal to consumption (C), investment (I), and government spending (G).

Yd ≡ Y - T: This identity defines disposable income (Yd) as total income (Y) minus taxes (T).

C = 100 + 0.5(Yd): This identity represents consumption (C) as a function of disposable income (Yd), with a consumption function that has an intercept of 100 and a marginal propensity to consume of 0.5.

I = 100 + 0.1Y: This identity represents investment (I) as a function of total income (Y), with an investment function that has an intercept of 100 and a marginal propensity to invest of 0.1.

The behavioral equations in the model are equations (3) and (4) above, which represent the consumption and investment functions, respectively.

The equilibrium conditions in the model are:

Y = Z: This condition states that total income (Y) is equal to total spending (Z) in the economy.

Yd = C + I: This condition ensures that disposable income (Yd) is equal to consumption (C) plus investment (I).

Y = Yd: This condition implies that total income (Y) is equal to disposable income (Yd).

The model has four variables: Z (total spending), Y (total income), Yd (disposable income), and T (taxes).

To calculate the size of the labor force and the unemployment rate, we need to know the total labor force and the number of unemployed individuals. The labor force is the sum of employed and unemployed individuals. In this case, the labor force is 2,826,000 (employed) + 94,000 (unemployed) = 2,920,000.

The unemployment rate can be calculated by dividing the number of unemployed individuals by the labor force and multiplying by 100 to get a percentage. In this case, the unemployment rate is (94,000 / 2,920,000) * 100 ≈ 3.22%.

Therefore, the size of the labor force is 2,920,000 and the unemployment rate is approximately 3.22%.

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Answer:

6.34960 correct to 5 decimal places.

Step-by-step explanation

16 ^ 2/3

= cube root of 16^2

∛(16^2)

= ∛(256)

= 6.349604208.

The 2 in the 2/3 means the square of 16, and the 3 in 2/3 mean 16^1/3

which is the same as the cube root.

The evaluation of mixed fractions   \(16\dfrac{2}{3}\)  in improper fractions using the simplification rule is \(\dfrac{50}{3}\).

The combination of a proper fraction and a whole number is called a mixed fraction.

When the numerator is greater than the denominator, such type of fraction is called an improper fraction.

To evaluate \(16 \dfrac{2}{3}\) ,  convert the mixed number to an improper fraction and then simplify it.

Multiply the whole number \((16)\)  by the denominator \((3)\)  and add the numerator \((2)\).

\((16 \times 3 )+ 2 \\= 48 + 2\\ = 50\)

The sum is written with the denominator \(3\)  as \(\dfrac{50}{3}\) .

The evaluation of mixed fractions \(16\dfrac{2}{3}\)  in improper fractions is \(\dfrac{50}{3}\).

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Each will get 3/5 cups of nuts by ratio and proportion concepts.

A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a bowl of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).

We have to divide total nuts within 5 people.

so,

3 3/5 : 5

but first convert,

3 3/5 = 15/4

substitute,

15/4 : 5 = 15/20cups of nuts

simplify,

3/5 cups

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Yes, the corner of the frame create a 90 degree angle

The picture frame's sides labeled as:

Employing the Pythagorean theorem provides us means to check whether side C, i.e., the frame's diagonal and the hypotenuse produces a right angle amidst sides A and B.

The Pythagorean formula states that:

C^2 = A^2 + B^2

C^2 = 15^2 + 8^2,

C^2 = 225 + 64

C = sqrt(289)

C = 17

since the result from Pythagoras equals the result of the equation then we have the hypotenuse is equal to the diagonal and the frame forms angle 90 degrees

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Answer:

Y=COS X+1

Step-by-step explanation:

The function whose graph is given by is y = cos x + 1.

Option C is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The graph of the function y = cos(x) + 1 can be understood by analyzing its two component functions:

cos(x) and 1.

The function cos(x) is a periodic function that oscillates between -1 and 1, with a period of 2π.

The graph of cos(x) is a smooth curve that has its maximum value at x = 0 and its minimum value at x = π (or x = -π).

The function 1 is a constant function that takes on the value of 1 for all values of x.

The graph of 1 is a horizontal line that extends infinitely in both directions along the x-axis.

When we add the two functions together, we get the function:

y = cos(x) + 1.

This function shifts the graph of cos(x) upward by 1 unit, so that it oscillates between 0 and 2, with a maximum value of 2 when cos(x) = 1 and a minimum value of 0 when cos(x) = -1.

The resulting graph of y = cos(x) + 1 is a periodic curve that oscillates above and below the horizontal line y = 1, with a period of 2π.

It has its maximum value of 2 when x = 2nπ (where n is an integer), and its minimum value of 0 when x = (2n + 1)π (where n is an integer). The graph is symmetric about the line y = 1, which is the horizontal asymptote of the function.

Thus,

The function whose graph is given by is y = cos x + 1.

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There are 788,872,812,500 ways to select a committee of 10 senators consisting of 5 men and 5 women.

We need to select 5 men out of 85 and 5 women out of 15, and then combine them to form a committee of 10. We can do this using the combination formula:

\(${{85}\choose{5}}$\) ways to select 5 men from 85, and\(${15\choose5}$\)ways to select 5 women from 15.

To form the committee, we need to combine these two groups of 5. We can do this by multiplying the number of ways to select each group:

\((855)⋅(155)=85!5!80!⋅15!5!10!=788872812500.( 585​ )⋅( 515​\)

)\(= 5!80!85!​ ⋅ 5!10!15!​ =788872812500.\)

Therefore, there are 788,872,812,500 ways to select a committee of 10 senators consisting of 5 men and 5 women.

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Answer:

$348.82

Step-by-step explanation:

240 +86=326

326× 7%= 22.82

326+22.82= $348.82

Answer:

$348.82

Step-by-step explanation:

Rolling a fair​ six-sided die is supposed to randomly generate the numbers 1 through 6, then the random in this context is option (D) That in the long​ run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.

Here a six sided die is rolling fairly

The sample space = { 1,2,3,4,5,6}

Sample space of the experiment is the all the possible outcomes of the experiment.

Here 1, 2, 3, 4, 5 and 6 are the random outcomes of the experiment

Hence, rolling a fair​ six-sided die is supposed to randomly generate the numbers 1 through 6, then the random in this context is option (D) That in the long​ run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.

The complete question is:

Rolling a fair​ six-sided die is supposed to randomly generate the numbers 1 through 6. Explain what random means in this context? Choose the correct answer below.

a. That if a 1 is rolled it that means that each other number was not rolled.

b. That the only possible outcomes are​ 1, 2,​ 3, 4,​ 5, and 6.

c. That each result will not be influenced by the previous result of the die roll.

d. That in the long​ run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.

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Answer:

BC = 36

Step-by-step explanation:

If <X ≅ <A, and <Y ≅ B, therefore ∆XYZ is similar to ∆ABC.

Since ∆XYZ is similar to ∆ABC, it follows that the ration of their corresponding side lengths would be equal.

That is:

\( \frac{AB}{XY} = \frac{BC}{YZ} = \frac{AC}{XZ} \)

AB = 15

XY = 5

YZ = 12

Thus:

\( \frac{AB}{XY} = \frac{BC}{YZ} \)

Plug in the values

\( \frac{15}{5} = \frac{BC}{12} \)

Multiply both sides by 12

\( \frac{15}{5}*12 = \frac{BC}{12}*12 \)

\( \frac{15*12}{5} = BC \)

\( 36 = BC \)

The length of the segment BC is 36 and this can be determined by using similar triangle properties and the given data.

Given :

The following steps can be used in order to determine the length of the segment BC:

Step 1 - According to the given data, XY = 5 , YZ = 12 , and AB = 15. Also angle X congruent to angle A and angle Y congruent to angle B.

Step 2 - So, according to the given data, it can be concluded that both the triangles are similar.

Step 3 - From the above steps, it can be concluded that the corresponding sides ratios of the triangles are equal.

\(\rm \dfrac{AB}{XY}=\dfrac{BC}{YZ}=\dfrac{AC}{XZ}\)

Step 4 - Now, substitute the values of YZ, XY, and AB in the above expression.

\(\rm \dfrac{15}{5}=\dfrac{BC}{12}\)

Step 5 - Simplify the above expression.

BC = 36

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Answer:

56.52in^3

Step-by-step explanation:

V=πr^2h

V=3.14×3^2×6in/3

V=3.14×9in^2×6in/3

V=3.14×54in^3/3

V=3.14×18in^3

V=56.52in^3

Observations can you make from a comparison of the number of water supply stoppages reported by owner-occupied units versus renter-occupied units 1.

Total no. of times owner-occupied units had a water supply stoppage lasting 6 or more hours

547000 + 5012000 + 6110000 + 2544000 + 557000 = 14770000

x = no. of times owner-occupied units had a water supply stoppage.

P(x=0) = 547000/14770000

P(x=0) = 0.0370

Similarly, we have at x=1

P(x=1) = 5012000/14770000

P(x=1) = 0.3393

P(x=2) = 6110000/14770000

P(x=2) = 0.4137

P(x=3) = 2544000/14770000

P(x=3) = 0.1722

P(x=4) = 557000/14770000

P(x=4) = 0.0378

x           f(x)

0             0.0370

1              0.3393

2         0.4137

3              0.1722

4         0.0378

Total     1

Observations can you make from a comparison of the number of water supply stoppages reported by owner-occupied units versus renter-occupied units 1.

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The time it take until 2000 people know about the rumor is 16 days.

The square root of a variety of is described because the value, which offers the variety while it's miles increased with the aid of using itself. The radical symbol √ is used to suggest the square root.  Radical is any other call given to the square root symbol. It is likewise called the surds. While Radicand is the variety gift beneath neath the square root symbol.

Find t, when N=200

N=5OO t^1/2

2000=500 t^1/2

t^1/2=4

t=16 days

Thus, the time it take until 2000 people know about the rumor is 16 days.

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The answer is Complementary angles.

As on adding the angles the sum is 90.