How many different samples of size n = 3 can be selected from a population of N=6?

Answer:

Because the sum of the interior angles of a triangle is 180,

X=180-(65+35)

X=180-100=80

Answer: Less than 25%

Step-by-step explanation:

1. Find the difference of the two numbers: 1,207 - 957 = 250

decrease = original number - new number

2. Then, divide the decrease by the original number

250/1,207 = 0.207

3. Multiply the answer by 100 to get the percentage

0.207 x 100 = 20.7%

Therefore, the number of people fell by 20.7%

Hence, the answer is less than 25%

Explanation:

We're given that

Note that P(A)*P(B) = 0.53*0.17 = 0.0901 which is somewhat similar to 0.901 but not entirely the same. We have an extra zero between the decimal point and the nine. So this indicates that \(P(A)*P(B) \ne P(\text{A and B})\). Therefore, events A and B are not independent. We consider them dependent.

The value of "t" for which the rocket's height is 39 feet are 14.59sec

Given the expression for the height expressed as:

If the rocket's height is 39 feet, the expression becomes:

\(39=113t-16t^2\)

Rewrite the expression

\(39=113t-16t^2\\16t^2-113t + 39 = 0\)

t = 113±√(-113)²-4(16)(39)/32

t = 113±√12,7690-2,496/32

t =  113±353.82/32

t = 14.59sec

Factorize the result

The value of "t" for which the rocket's height is 39 feet are 14.59sec

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Answer:

Step-by-step explanation:

One interior angle in a regular triacontagon is 168 degrees

so

180 - 168 = 12°

22 °C is a very fresh temperature, so I would not bring my winter coat

Explanation

Step 1

22 °C , F?

Let

c=22

replace

so, 22 °C is a very fresh temperature, so I would not bring my winter coat

Answer:

the equation must be 3x + 2 = 5x - 4

Answer:

1092 people attended the last basketball game.

Step-by-step explanation:

Given that:

Number of people who attended the first basketball game = 840

Percent increase for last game = 30%

Total people who attended last game = (100+30)% = 130% of first game

Number of people who attended last game = \(\frac{130}{100}*840\)

Number of people who attended last game = 1.30*840 = 1092

Hence,

1092 people attended the last basketball game.

Answer:

A. x = 1 1/2

Step-by-step explanation:

Answer:

A. x = 1 1/2

Step-by-step explanation:

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

Explanation:

The angles SPT and TPU marked in red are congruent. They are congruent because of the similar arc markings.

Those angles add to the other angles to form a full 360 degree circle.

Let x be the measure of angle SPT and angle TPU.

86 + 154 + 60 + x + x = 360

300 + 2x = 360

2x = 360-300

2x = 60

x = 60/2

x = 30

Each red angle is 30 degrees.

Then,

angle SPQ = (angle SPT) + (angle TPU) + (angle UPQ)

angle SPQ = (30) + (30) + (86)

angle SPQ = 146 degrees

--------------

Another approach:

Notice that angles QPR and RPS add to 154+60 = 214 degrees, which is the piece just next to angle SPQ. Subtract from 360 to get:

360 - 214 = 146 degrees

Answer:

a on edge

Step-by-step explanation:

i took the cumulative exam

The sum of given function is equal to \(4x\sqrt[3]{2y}+12x^{2} y\sqrt[3]{2y^{2} }\)

Option A is correct.

Given function is, \(2(\sqrt[3]{16x^{3}y } )+4(\sqrt[3]{54x^{6}y^{5} } )\)

As we know that,

              \(\sqrt[3]{16x^{3} y} =2x\sqrt[3]{2y} \\\\\sqrt[3]{54x^{6}y^{5} }=3x^{2} y\sqrt[3]{2y^{2} }\)

Substituting values in given function.

                 \(2(2x\sqrt[3]{2y} )+4(3x^{2} y\sqrt[3]{2y^{2} } )\\\\=4x\sqrt[3]{2y}+12x^{2} y\sqrt[3]{2y^{2} }\)

Therefore, option A is correct.  

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Answer:

Step-by-step explanation:

Hope this helps!

Answer:

A and E

Step-by-step explanation:

If q is an odd number and the median of q consecutive integers is 120, then the largest of these integers is option (A) (q-1) / 2 + 120

The number q is an odd number

The median of q consecutive integers = 120

Consider the q = 3

Then three consecutive integers will be 119, 120, 121

The largest number = 121

Substitute the value of q in each options

Option A

(q-1) / 2 + 120

Substitute the value of q

(3-1)/2 + 120

Subtract the terms

=2/2 + 120

Divide the terms

= 1 + 120

= 121

Therefore, largest of these integers is (q-1) / 2 + 120

I have answered the question in general, as the given question is incomplete

The complete question is

if q is an odd number and the median of q consecutive integers is 120, what is the largest of these integers?

a) (q-1) / 2 + 120

b) q/2 + 119

c) q/2 + 120

d) (q+119)/2

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The permutations is computed below.

1. Evaluate 9P4

9P4 = 9!/(9 - 4)

= 9!/5!

= (9 × 8 × 7 × 6)

= 3024

2. How many ways can 5 students sit on a row of 15 chairs for a photograph?

= 15!(15 - 5)

= 15!/10!

= (15 × 14 × 13 × 12 × 11)

= 360360

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Elena is at her starting position at the beginning and end of the ride. We know that Elena is at position E at the beginning of the ride.

The measure of angle JON is: As the carousel moves in a counterclockwise direction, so the measure of angle JON can be found by subtracting the angle NOE from 360°.

Let's first find the measure of angle NOE: Since JON and NOE are vertical angles, the measure of angle NOE = 1. As vertical angles are equal, the measure of angle JON = 1.

Therefore, the measure of angle JON = 359°. Next, let's find the distance traveled by Jada to reach Noah's starting position:

The circumference of the circle = 2πr

The circumference of the circle = 2π × 20

The circumference of the circle = 40π ≈ 125.66 feet.

Distance traveled by Jada to reach Noah's starting position = 125.66 ÷ 4 = 31.42 feet, rounded to two decimal places.

Jada travels approximately 31.42 feet to reach Noah's starting position.

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Answer: $45

Step-by-step explanation:

Let the original price be x.

Since there was a discount of 20%, it means the person bought the frying pan at (100% - 20%) = 80% of the original price. This can then be formed into an equation as:

80% × x = $36

0.8 × x = $36

0.8x = $36

x = $36/0.8

x = $45

The original price was $45

Answer:

(6)=120°

(10)=72°

(20)=36°

Step-by-step explanation:

(n-2)×180°

(6-2)×180°=720°

6÷720°=120°

10÷720°=72°

20÷720°=36°

If X has a mean of 6 and a Poisson distribution. We may determine that k = 4 results in a probability of 0.4098, a value less than 0.45, using a Poisson probability calculator.To guarantee that students have plenty to read during the flight, the professor must bring at least 5 papers.

The professor reads papers for an average of thirty minutes per paper, according to a Poisson process. This indicates that there is an exponential distribution with a mean reading interval of 30 minutes.

The professor will have a period of three hours (180 minutes) to study the papers throughout the journey. The number of papers the professor can read in this amount of time can be predicted using a distribution based on with a mean of 180/30 = 6.

In order to keep the probability that we'll run out of papers to read below 0.45, we need to determine how few pages the professor should bring. Accordingly, we must choose the smallest number k such that: P(X <= k) < 0.45

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Answer:

B

Step-by-step explanation:

1) There are 12 inches in a foot.

2) 18 inches minus 12 inches = 6 inches.

3) You have you your 1 foot and 6 inches which is 1/2 a foot.

4) 1 1/2 feet

Answer:

IS B)1 1/2 IM DOING THE TEST NOW AN I HATE IT

Step-by-step explanation:

Answer:

A 3/5

Step-by-step explanation:Here’s one way to solve this problem.

Write sixty percent as a fraction having a denominator of one hundred.

Now, change sixty-hundredths to an equivalent fraction having a denominator of twenty, the total number of pitches.

Do this by dividing the numerator and the denominator by five.

Then, simplify the fraction twelve-twentieths by dividing the numerator and the denominator by four.

So, Lenora hit three-fifths of the pitches.

A. 3/5

Step-by-step explanation:

i dont have time for explanation but i hope this helps

The mean and standard deviation for the number of defective bolts in a total of 400 bolts is 40 and 6.32 (approx), respectively.

The mean and standard deviation for the number of defective bolts in a total of 400 bolts if the probability of defective bolt is 0.1 can be calculated using Poisson distribution.

Poisson distribution is used to predict the number of events that occur over a specified interval of time when the probability of an event occurring is known.

The formula for calculating the mean (μ) and standard deviation (σ) is given as follows:
μ = λσ = √λ
Where λ = np, where n is the number of trials and p is the probability of success.

Here, the probability of a defective bolt is 0.1. So the probability of a non-defective bolt is 0.9. The total number of bolts is 400, so the expected number of defective bolts can be calculated as follows:
μ = λ = np = 400 x 0.1 = 40

The mean number of defective bolts is 40. The standard deviation can be calculated as follows:
σ = √λ = √40 = 6.32 (approx)

The standard deviation is 6.32 (approx).

Therefore, the mean and standard deviation is 40 and 6.32 (approx), respectively.

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Answer:

3/8

Step-by-step explanation:

There are 8 equal slices so each slice is 1/8th of the whole pizza

1/8+1/8=2/8 he ate right away

2/8+1/8 for what he ate before going to sleep

2/8+1/8=3/8

The area of the circle is 30.2 square feet. Then the correct option is B.

Given that:

Diameter, d = 6.2 feet

Let r be the radius of the circle. Then the area of the circle will be given as,

A = πr² square units

The radius of the circle is given as,

r = d / 2

r = 6.2 / 2

r = 3.1 feet

The area of the circle is calculated as,

A = 3.14 x (3.1)²

A = 3.14 x 9.61

A = 30.1754

A ≈ 30.2 square feet

Thus, the correct option is B.

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Answer:

292 and 2092

Step-by-step explanation:

Surface area:

Wall 1: 40 x 3 = 120m^2

Wall2: 40 x 3 = 120m^2

Wall 3: 15 x 3 = 45m^2

Wall 4: 15 x 3 = 45m^2

Ceiling: 15 x 40 = 600m^2

Total : 240 + 600 + 90 = 730

So, cost of painting = 730/25 x 10 = 29.2 x 10 = 292

Total: 292 + 1800 = 2092

The total cost of paint would be 2092 dollars.

The area of the cuboid is the sum of product of the length, breadth of the given prism.

Surface area:

Wall 1: 40 x 3 = 120m^2

Wall2: 40 x 3 = 120m^2

Wall 3: 15 x 3 = 45m^2

Wall 4: 15 x 3 = 45m^2

Ceiling: 15 x 40 = 600m^2

The Total area: 240 + 600 + 90 = 730

So, The cost of painting = 730/25 x 10

= 29.2 x 10

= 292

Total: 292 + 1800 = 2092

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Answer:

a = - 2, \(\frac{9}{4}\) , b = 2, - \(\frac{1}{8}\)

Step-by-step explanation:

Since x = 1, y = 2 is a solution to the equations , then substitute these values into the 2 equations and solve for a and b

a + 2b = 2 → (1)

b + 2a² = 10 → (2)

In (1) subtract 2b from both sides

a = 2 - 2b → (3)

Substitute a = 2 - 2b into (2)

b + 2(2 - 2b)² = 10 ← expand parenthesis using FOIL

b + 2(4 - 8b + 4b²) = 10 ( simplify left side )

b + 8 - 16b + 8b² = 10 ( subtract 10 from both sides )

8b² - 15b - 2 = 0

Consider the factors of the product of the coefficient of the b² term and the constant term which sum to give the coefficient of the b- term

product = 8 × - 2 = - 16 and sum = - 15

The factors are - 16 and + 1

Use these factors to split the b- term

8b² - 16b + b - 2 = 0 ( factor first/second and third/fourth terms )

8b(b - 2) + 1(b - 2) = 0 ← factor out (b - 2) from each term

(b - 2)(8b + 1) = 0

Equate each factor to zero and solve for b

b - 2 = 0 ⇒ b = 2

8b + 1 = 0 ⇒ 8b = - 1 ⇒ b = - \(\frac{1}{8}\)

Substitute these values into (3) and evaluate for a

b = 2 ⇒ a = 2 - 2(2) = 2 - 4 = - 2

b = - \(\frac{1}{8}\) ⇒ a = 2 - 2(- \(\frac{1}{8}\) ) = 2 + \(\frac{1}{4}\) = 2 \(\frac{1}{4}\) = \(\frac{9}{4}\)

The possible values of a and b are 8, -3 or 9/4 , -1/8 respectively.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equations are,

ax + by = 2            (1)

and bx + a²y = 10        (2)

Also, x = 1 and y = 2 are the solution of the equation,

Substitute x = 1 and y = 2in equation (1),

a(1) + b(2) = 2

a + 2b = 2       (3)

Further substitute x = 1 and y = 2 in equation (2),

b(1) + a²(2)  = 10  

2a² + b = 10         (4)

By solving equation (3) and (4),

The possible values of a are 8 and 9/4.

And possible value of b are -3 and -1/8.

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Answer:

b = 3/4

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

3/ 40 = 1/2 b ( 1/5)

Multiply

3/40 = 1/10 b

Multiply each side by 10

10 *3/40 = 10* 1/10 b

3/4 = b