When the same probability is assigned to each outcome of a sample space, the experiment is said to have _______ ________ outcomes.

Answer:

A?...............................

The correct answer from the drop-down menu is 3.5.

The mean is the average of the numbers. It is easy to calculate add up all the numbers, then divide by how many numbers in the data set.

Therefore the population mean is the sum of the 12 data set values divided by 12

4 + 6 + 7 + 11 + 12 + 18 + 26 + 23 + 14 + 31 + 22 + 12 = 186.

Therefore the population mean

= 186/12

= 15.5.

The sample mean is given by the sum of the 4 sample values divided by 4

11 + 31 + 22 + 12

Sum = 76.

Therefore the sample mean

= 76/4

= 19.

The sample mean is more than the population mean by

= 19 - 15.5

= 3.5.

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the scientist needs to take a sample of at least 41 measurements of the river's depth to estimate the average depth with a 99% confidence level and a margin of error of 2 feet. We can use the following formula to determine the sample size needed:

n = \((z*σ / E)^{2}\)

Where:

n is the sample size

z is the z-score associated with the desired level of confidence (in this case, 2.576 for a 99% confidence interval)

σ is the standard deviation of the population

E is the margin of error (in this case, 2 feet)

Substituting the given values, we get:

n = \((2.576 * 4.33 / 2)^{2}\)

n = 40.22

Since we cannot have a fractional sample size, we need to round up to the nearest whole number:

n = 41

Therefore, the scientist needs to take a sample of at least 41 measurements of the river's depth to estimate the average depth with a 99% confidence level and a margin of error of 2 feet.

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Step-by-step explanation:

the domain of a function is always the interval or set of all valid input values (usually x, but here t).

the range is the interval or set of all valid result values (usually y or f(x), here h(t)).

as the graph shows, the function works only for values of t starting at 0 (at 0 seconds the object has 0 ft height, it is still on the ground and about to launch).

and it ends at t = 7.

obviously the object hits the ground after 7 seconds again after coming back down. so, the height function does not make any sense for values of t after that.

so, again, the domain is

0 <= t <= 7

Answer:

the correct answer is d

Step-by-step explanation:

The leading coefficient is negative, so the graph rises on the left and falls on the right.

Therefore as x approaches infinity, y will be approaching negative infinity.

Answer:

A: 16, B:29, C:32

Step-by-step explanation:

Answer:

At least 15 hours

Step-by-step explanation:

First, subtract the $75 that her parents will contribute:

250 - 75

= 175

So, from babysitting, she will have to raise $175

Divide this by 12 to find how many hours she has to babysit:

175/12

= 14.583

We have to round this up to a whole number, which will be 15.

So, Missy will have to babysit for a minimum of 15 hours

Answer:

20

Step-by-step explanation:

8*50=400 /4*5=20

400/20=20

Answer:  -20

Step-by-step explanation:

-8 by 50   ÷   4 by 5

-8 × 50     ÷    4 × 5

\(\dfrac{-8\times 50}{4\times 5}\\\\\\=\dfrac{-2\times 10}{1\times 1}\\\\\\=\large\boxed{-20}\)

The difference quotient of f(t) is: (6 - 2h - 4t)

And when h tends to zero is (6 - 4t)

Here we have the function:

f(t) = (2t)(3 - t)

Expanding the function we get:

f(t) = 6t - 2t^2

Now we want to get the difference quotient, which is:

(f(t+h) - f(t))/h

Replacing our function there, we will get:

( 6*(t + h) - 2*(t + h)^2 - 6*t + 2*t^2)/h

Now we can simplify the numerator to get:

(6*t + 6*h - 2t^2 - 2h^2 - 4*t*h - 6t + 2t^2)/h

(6h - 2h^2 - 4th)/h

Now divide by h so we get:

(6 - 2h - 4t)

Now, remember that in the difference quotient we need to take the limit when h tends to zero, in that limit we will get:

(6 - 4t)

That is the difference quotient of the function f(t).

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x > 4 is your answer when solving for x

Hey there!

2(5x + 3) - 2(2x-3)

DISTRIBUTE

= 2(5x) + 2(3) - 2(2x) - 2(-3)

= 10x + 6 - 4x + 6

COMBINE the LIKE TERMS

= 6x + 12

Therefore, your answer should be:

6x + 12

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

Given

The sum of two number =840

One number =357

First number+second number=840

357+a=840

a=840-357

a=483

Answer:

It is an isosceles triangle with angle V at the vertex

The measures of the other 2 angles are

angle W and angle X = (180 -50) / 2

angle W and angle X = 65 degrees each

Step-by-step explanation:

The bird is 25.23 feet away from Amanda and Jamie.

Given that:

Point A is Amanda's Position.

Point B is Jamie's position.

and Point C is Bird's position.

Thus,

C is the standing of Amanda and Jamie.

So, A = 55°

      B = 63°

and C = 25 feet.

Since, the sum of the angle measure of a Triangle.

Therefore,

    A +B +C = 180°

⇒  55° + 63° +C = 180°

⇒ 118° + C = 180°

⇒ C = 62°

Now,

By the Law of Sines:

     \(\frac{Sin\beta }{b} = \frac{Sin\alpha }{c}\)

⇒ C sin β = b sinα

⇒ b = c sinβ/ sinα

⇒ b = 25.23

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Answer:

64 × pi m²

Step-by-step explanation:

the formulas needed for the surface area of a cone are :

base area plus the "mantle", the lateral "wall" around it.

the base area is a circle.

so, that formula is Ac = pi×r²

the "wall" formula is Aw = pi×r×s

r = radius

s = slant height = 12

the formula for the surface area of a sphere is

As = 4×pi×r²

we know now, that both surface areas are the same, and also the radius is the same for both objects.

Ac + Aw = As

pi×r² + 12×pi×r = 4×pi×r²

=>

12×pi×r = 3×pi×r²

12×pi = 3×pi×r

12 = 3×r

r = 4 m

now, we only need to use this value of r in our formulas for surface areas, like for the sphere :

4×pi×r² = 4×pi×4² = 4³×pi = 64×pi

Answer: Choice A)

Set A is an exponential function and the values increase at a faster rate than Set B.

======================================================

Explanation:

Focus on Set A. Each time x goes up by 1, y goes up by a factor of 10. In other words, the y value is being multiplied by 10.

etc

This strongly implies that we're dealing with an exponential function. The equation for this function is y = 10^x.

Plug in x = 1 and you should get y = 10. Repeat for x = 2 and it should lead to y = 100. This helps confirm we have the correct function.

On the other hand, Set B deals with a linear equation which is y = 50x+950. The slope 50 is the amount we're increasing y each time x goes up by 1. If you plug x = 1 into this, you should get y = 1000. Plug in x = 2 and it leads to y = 1050, and so on.

When comparing exponential growth rates versus linear growth rates, the exponential will be faster. This is true even if you have a very small exponential growth rate. At some point, the exponential will overtake the linear. The linear growth rate is some constant value that never changes. The exponential growth rate increases over time. Think about simple interest versus compound interest and that may be a good example to go over.

The evaluation is 10.67 of given geometric progression.

A geometric progression is a set of elements where each succeeding element is created by multiplying the one before it by a number called the common ratio. The standard representation for a geometric progression series is a, ar, ar²,..., where an is the first term and r is the common ratio of the sequence.

The ratio between two consecutive numbers, or a number divided by the number before it in the sequence, is known as the common ratio since it is the same for all numbers or common.

The sum of a finite geometric series can be found using the formula:

\(a (1-r^{n}) / (1-r)}\).

Where a is the first term and r is the common ratio between successive terms.

To find the ratio of successive terms by plugging into the formula

r = aₙ +1 / (aₙ)

Simplifying,

r =1/4

And the first term is;

when n=1, a = 8

Substituting all the values to the formula,

The summation of GP

= 8 x { 1 - (1/4)¹⁰ } / {1- (1/4)}

= 8 { 1 - (1/1048576) / (3/4)

= 8 x {(1048576 - 1) / 1048576} x (4/3)

= 8 x (1048575 / 1048576) x (4/3)

= 8 x 349525 / 262144

= 2796200 / 262144

= 10.6666

The decimal form is 10.67.

Therefore, the evaluation is 10.67.

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Answer:

225 runs

Step-by-step explanation:

180/40 = 4.5

50 × 4.5 = 225

Answer:

Im not sure ok

Step-by-step explanation:

Im trying to solve too

Answer:

2450

Step-by-step explanation:

30% of 3500

30÷100×3500

=30×35

=1050

3500-1050

=2450

Answer:

Marked price: Rs. 4875

Cost price: Rs. 3750

Explanation:

(i) Cost price: 100%

(ii) Marked price: (100% + 30%) = 130%

(i) Let the cost price be p

(ii)  Marked price: 130% × p = 1.3p

Given, 20% discount then sold at 80%

Discount price: (130% × 80%) × p = 1.04p - discounted price

Gain price: 1.04p - p = 0.04p

Cost price:

0.04p = 150

p = 150/0.04 = 3750 ← This is the cost price.

Marked price:

1.3p  =  1.3(3750) = Rs. 4875

Since, Alice ate 5 cookies and 2 carrots for a total of 590 calories; bob ate 3 cookies and 4 carrots for a total of 410 calories. Therefore, In a cookie there are 110 calories.

A calorie is a unit of energy that food and drink provide. we can usually find out how many calories are listed in foods, and wearables like the best fitness trackers let you monitor how many calories you're burning in different activities. Certain foods, such as processed foods, tend to be high in calories. Other foods, such as fresh fruits and vegetables, tend to be low in calories. there is not. Calories are needed to give you enough energy to move, keep warm, grow, work, think, and play. Our circulation and digestion also need to work well with the energy we get from calories.

Let x = calories in cookies.

     y = calories in carrots.

Now, according to the question:

     5x + 2y = 590                   --------------------------------------- (1)

     3x + 4y = 410                    -------------------------------------- (2)

Multiplying equation(1) by 3 and equation(2) by 5:

         15x + 6y = 1770                       ---------------------------(3)

         15x + 20y = 2050                   ---------------------------(4)

Solving we get:

    y = 280/14

or, y = 20 units.

Putting the value of y = 20 in equation (2)

    3x + 4y = 410

⇒  3x + 4 × 20 = 410

⇒ 3x = 410 - 80

⇒ x = 330/3

⇒ x = 110 Units

Therefore, the calories of cookies is 110 units .

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The rate of change of volume (dV/dt) of a cone is 28π.

The volume (V) of a cone can be expressed as V = (1/3)πr²h, where r is the radius of the base and h is the height. To find the rate of change of volume with respect to time (dV/dt), we can differentiate the volume equation with respect to time.

dV/dt = (1/3)π(2r)(dr/dt)h + (1/3)πr²(dh/dt)

Given that dV/dt = 28π, we can set up the equation:

28π = (1/3)π(2r)(dr/dt)h + (1/3)πr²(dh/dt)

Simplifying the equation and solving for the unknown values (dr/dt and dh/dt) would require additional information such as the values of r and h and their rates of change.

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Answer: 3x(x+4)(x+5)

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

The smallest number is  

14

Explanation:

Let: x= the 1st con.even number

x+2=the 2nd con.even number

x+4=the 3rd con.even number

Add the terms and equate it with the total, 48

x + ( x + 2 ) + ( x + 4 ) = 48 , simplify

x + x + 2 + x + 4 = 48 , combine like terms

3 x + 6 = 48 , isolate x

x = 48 − 6 3 , find the value of x

x = 14

Answer:

B

Step-by-step explanation:

Answer:

Pretty sure you're missing something here. But Im assuming that it's 11/25.

Step-by-step explanation:

Answer:

A and B.

Step-by-step explanation:

I graphed them on desmos. :)

Hope this helps.

Answer:

the third (B) and the first (A)

The weight of each beef will be 6⁴

An exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

From the information, in a butcher shop, each slab of beef weighs 6^7 pounds and there are 6^3 containers filled with beef, the weight of each beef will be:

= Total pounds / Container

= 6^7 / 6^3.

= 6^(7 - 3).

= 6^4

The weight is 6⁴.

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XVIII means 18 in Roman numerals

Roman numerals are defined as a numeral system that originated in ancient Rome and is the usual way of writing numbers throughout Europe and into the Late Middle Ages.

They are used to represent fixed positive numbers, we have some as;

From the information given, we have that;

XVIII

10 + 5 + 1 + 1 + 1

Add the values, we get;

18

Hence, the value is 18

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