Which kind of expression is 400(0.5)t?

P(X ≥ 200) = 1 - P(X < 200) ≈ 1.0. In other words, it is very likely (almost certain) that at least 200 out of 210 college graduates under age 20 are employed.

To find the probability that at least 200 out of 210 college graduates under age 20 are employed, we can use the binomial distribution formula:
P(X ≥ 200) = 1 - P(X < 200)
where X is the number of employed college graduates under age 20 out of a sample of 210.
We know that the unemployment rate for college graduates under the age of 20 is 7%. Therefore, the probability of an individual college graduate being unemployed is 0.07.
To find the probability of X employed college graduates out of 210, we can use the binomial distribution formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where n is the sample size (210), k is the number of employed college graduates, and p is the probability of an individual college graduate being employed (1-0.07=0.93).
We want to find P(X < 200), which is the same as finding P(X ≤ 199). We can use the cumulative binomial distribution function on a calculator or software to find this probability:
P(X ≤ 199) = 0.000000000000000000000000000001004 (very small)
Therefore, P(X ≥ 200) = 1 - P(X < 200) ≈ 1.0. In other words, it is very likely (almost certain) that at least 200 out of 210 college graduates under age 20 are employed.

To know more about probability visit:

https://brainly.com/question/31120123

#SPJ11

Step-by-step explanation:

15^2-12^2

225-144

81

√81=9

21÷9=2.3333(recurring)

2.33333×15=x

X=34.999

or X=35 to 1 d.p

Answer:

\(f(x)=2^{x}\)

Step-by-step explanation:

The shape of that function is exponencial.

All expoencial functtion passed though the point (0,1).

In that case we have the point (4,16) in other words: (4,2⁴)

\(f(x)=2^{x}\)

Answer:The answer is very easy its..........

Step-by-step explanation:This is the step by step explanation ...............

Answer:

6h 45 min.

Step-by-step explanation:

\(\frac{4}{3} x=9\)

\(x=\frac{9}{\frac{4}{3} } =\frac{(9)(3)}{4} =\frac{27}{4} =6.75\)

= 6h 45m

Hope this helps.

To get x, we will use the Pythagoras theorem

With the hypotenuse equal to 12m

Answer:

Step-by-step explanation:

Stage 1

Stage 2

Stage 3

Equation for stage n:

Answer:

(-6,6)

Step-by-step explanation:

Step 1 identify coordinates of B

The coordinates of B are (-2,2)

Step 2 apply dilation by multiplying the x and y values of coordinate B by the scale factor (3)

(-2,2) -----> (-2 * 3 , 2 * 3 ) -------> (-6,6)

If ABCD is dilated by a scale factor of 3 the coordinates of B' would be (-6,6)

Answer:

seems like the main concept being tested here is unit conversion.

First, let's look at converting kilometers to meters. In the metric system, the prefix "kilo" means 1000. So,

1 kilometer = 1000 meters.

Then, let's look at converting from hours to seconds. As you may know, there are 60 minutes in an hour, and 60 seconds in a minute. So, in 1 hour there are

1 hour*(60 minutes/hour)*(60 seconds/minute) = 3600 seconds.

So, we can use these unit conversion factors to solve your question. Let's convert the units!

9 km/hr = 9 km/hr * (1000 m/km) * (1 hr/ 3600 sec) = 2.5 m/s

Hope this helps!

Step-by-step explanation:

Answer:

2.5m/s

Step-by-step explanation:

Step-by-step explanation:

4x-6≥6x-20

4x-6x≥-20+6

-2x≥-14

-2x/-2≥-14/-2

x≤7

the sign changed because we divided by negative number and hope it helped

The expected value of winnings is 4.17.

We are given that;

A dice is rolled 3times

Now,

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

If you roll a die up to three times and each time you roll, you can either take the number showing as dollars or roll again.

The expected value of the game rolling twice is 4.25 and if we have three dice your optimal strategy will be to take the first roll if it is 5 or greater otherwise you continue and your expected payoff 4.17.

Therefore, by probability the answer will be 4.17.

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ4

The factor completely of the provided polynomial by taking out the greatest common factor from the polynomial is,

\(2x^2(7x^4 +4x+2)\)

The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.

The given polynomial in the problem is,

\(14x^6 +8x^3+4x^2\)

Take out the greatest common factor from the above expression. As the greatest common factor of the above polynomial is 2 (14, 8, 4), which can divide each terms. Therefore,

\(2(7x^6 +4x^3+2x^2)\)

Now take out the greatest common factor in terms of variable x. The lowest power of x is 2. Therefore, the equation become,

\(2x^2(7x^4 +4x+2)\)

Thus, the factor completely of the provided polynomial by taking out the greatest common factor from the polynomial is,

\(2x^2(7x^4 +4x+2)\)

Learn more about factor of polynomial here;

https://brainly.com/question/24380382

Answer:

A. 2x^2 (7x^4 + 4x +2)

Hi

a number is  additive inverse if  the sum =0

so 0    as the additive inverse of 12 would be -12.

and the additive inverse of -12  is 12 (it works both ways)

The sum of number 12 and the additive inverse of 12 is given by the equation A = 12 - 12 = 0

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number be n = 12

Now , the additive inverse of the number 12 = -12

So , the sum of 12 and -12 is given by the equation ,

A = 12 - 12

A = 0

Therefore , the value of A is 0

Hence , the sum of the two numbers is 0

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

The total surface area of the cylinder is approximately 116.28 cm² (rounded to two decimal places).

To find the surface area of the cylinder, we need to first find the height of the cylinder. We know that the circumference of the base of the cylinder is equal to the length of the square paper, which is 10 cm.

The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. Since we know that the circumference is 10 cm, we can solve for the radius:

10 = 2πr

r = 5/π

Now that we know the radius, we can find the height of the cylinder. The height is equal to the length of the square paper, which is 10 cm.

So, the surface area of the lateral surface of the cylinder is given by:

Lateral Surface Area = 2πrh

= 2π(5/π)(10)

= 100 cm²

The surface area of each end of the cylinder (i.e., top and bottom) is equal to πr². So, the total surface area of both ends is:

Total End Surface Area = 2πr²

= 2π(5/π)²

= 50/π cm²

Therefore, the total surface area of the cylinder is:

Total Surface Area = Lateral Surface Area + Total End Surface Area

= 100 + (50/π)

≈ 116.28 cm² (rounded to two decimal places)

To know more about  total surface area refer here:

https://brainly.com/question/27803865#

#SPJ11

Using the distributive property, the expanded form of (−1/4)(−8x+12y) is c) 2x - 3y.

The distributive property states that when you multiply a number or a variable expression by a sum or a difference, you can distribute the multiplication over each term within the parentheses.

So, to expand the expression (−1/4)(−8x+12y), we can apply the distributive property by multiplying -1/4 to each term inside the parentheses:

(−1/4)(−8x+12y) = (−1/4) × (−8x) + (−1/4) × (12y)

= (1/4) × 8x − (1/3) × 12y

= 2x − 3y

Therefore, the expanded form of (−1/4)(−8x+12y) is 2x − 3y. Hence, the correct answer is (c) 2x-3y.

To learn more about distributive property here:

https://brainly.com/question/29048637

#SPJ1

Answer:

The answer in slope intercept form is y = 5/2× -5

Answer:

Step-by-step explanation:

Let

Point 1 ----------> (5, 2)

Point 2 ----------> (–6, 2)

we know that

the distance between two points it is calculated with the formula

d=√[(y2-y1)²+(x2-x1)²]

then

d=√[(2-2)²+(-6-5)²]

d=√[(0)²+(-11)²]

d=√[121]

d=√121-----------> d=11 units

the answer is 11 unit

Answer:

Sample Response: The segment is horizontal because the y-coordinates are the same. To find the distance, you can count the spaces between the points. The segment is 11 units long.

Answer:

Step-by-step explanation:

Draw a diagram of a vertical wall with a ladder leaned against it.

You can say that the ladder is 8 meters long and the distance from the bottom of the ladder to the base of the wall is 2 meters..

Then ask the question At what height on the wall is the top of the ladder?

This is calculated using the Pythagoras theorem - the ladder is the hypotenuse used of the right angled triangle formed by the wall, ladder and the ground.

8^2 = x^2 + 2^2      where x is the required height.

x^2 = 8^2 - 2^2

x^2 = 60

x = sqrt60

= 7.75 meters to nearest hundredth.

A firm has two plants (X and Y) producing the same product which sells for $12 each. The total profit at plant X and plant Y are equal if the volume of each plant is 2,000 units.

To solve the problem, first translate the given problem into equations.

The formula for profit is:

profit = revenue from sales - total cost

total cost = fixed cost + variable cost

revenue = selling price x number of units sold

Let:

x = the number of units sold in plant X

y = the number of units sold in plant Y

From the problem, we can conclude:

Profit X = profit Y

x = y

Profit X = 12x - (5000 + 3x)       (equation 1)

Profit Y = 12 y - (7000 + 2y)      (equation 2)

Substitute y = x into equation 2

Profit Y = 12 x - (7000 + 2x)  

Hence,

12x - (5000 + 3x)  = 12 x - (7000 + 2x)  

3x - 2x = 7000 - 5000

x = 2,000

Therefore, total profit at plant X and plant Y are equal if the volume of each plant is 2,000 units.

Learn more about profit here:

https://brainly.com/question/2292799

#SPJ4

Answer:

35 distance and 8 upm

Step-by-step explanation:

47-12=35

35 divided by 7 = 5

Answer:

\(10^7\)

Step-by-step explanation:

There are \(7\) zeroes in the number \(10,000,000\). Therefore, \(10,000,000\) can be written as \(\fbox{$10^7$}\).

*Any number written as \(10^n\) will be equal to \(1\) followed by \(n\) zeroes.

Answer:10^7

Step-by-step explanation:

The area and the circumference of the circular face of the drum are  273.33 ft² and  58.59 ft respectively.

A large drum is constructed with radius 9.33 ft. The area of the circular face of the drum can be calculated as follows:

area of the circular face = πr²

where

r = radius

Therefore,

area of the circular face = 3.14 × 9.33²

area of the circular face = 3.14 × 87.0489

area of the circular face = 273.333546

area of the circular face ≈ 273.33 ft²

Let's find the circumference of the drum

circumference of the drum = 2πr

circumference of the drum = 2 × 3.14 × 9.33

circumference of the drum = 58.5924

circumference of the drum = 58.59 ft

learn more on area and circumference https://brainly.com/question/12440969

#SPJ1

Answer:

the answer to your question is ten

Answer:

Step-by-step explanation:

The perimeter of the figure with dimensions (4cm, 5cm, 8cm, and 3cm) is 20 cm

What is the perimeter?

The entire length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by combining the lengths of all of its sides and edges. Its dimensions are expressed in linear measures like centimeters, meters, inches, and feet.

Why is a perimeter important?

They help you to quantify physical space and also provide a foundation for more advanced mathematics found in algebra, trigonometry, and calculus. Perimeter is a measurement of the distance around a shape and area gives us an idea of how much surface the shape covers.

What is the formula for the perimeter of a rectangle?

The formula for the perimeter of a rectangle is,

P = length + breadth + length + breadth.

Perimeter of given figure(4cm, 5cm, 8cm, and 3cm) = 4 + 5 + 8 + 3

                                                                                      = 20

To know more about Perimeter visit:

brainly.com/question/30252651

#SPJ1

Answer:

The value of x is 138

Answer:

39.24 sec

How long will it take a 1500 W motor to lift a 300 kg piano to a sixth-story window 20 m above? All tutors are evaluated by Course Hero as an expert in their subject area. Answer is t = 39.24 sec

Step-by-step explanation:

It will take the motor 39.2 seconds to lift the piano to the sixth-story window.

Given the following data;

We know that acceleration due to gravity is equal to 9.8 m/s².

To find how long it will take to lift the piano to the sixth-story window;

First of all, we would have to determine the gravitational potential energy required to lift the piano up.

Mathematically, gravitational potential energy is given by the formula;

\(G.P.E = mgh\)

where:

Substituting into the formula, we have;

\(G.P.E = 300*9.8*20\)

G.P.E = 58,800 Joules

Next, we would determine the time using the following formula;

\(Time = \frac{Energy}{Power}\)

Substituting the values into the formula, we have;

\(Time = \frac{58800}{1500}\)

Time = 39.2 seconds.

Therefore, it will take the motor 39.2 seconds to lift the piano to the sixth-story window.

Find more on power, time and energy here: https://brainly.com/question/20488953

Answer:The juice left in bottle is 0.5 litre

Step-by-step explanation:Sara poured 3/4 of the juice from a 2 liter bottle while serving guests at a party how many Juice in liters is still left in the bottle. 2.

Answer:

(6) 300+40+8+0.17 or (3*100)+(4*10)+(8*1)+(17*0.01

(7) C.

(8) $31.10

(9) -$10.64 or he lost $10.64

(10) B.

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest