3) 14, 9, 20, 5, 17, 13 mean:
median:
mode:
range:​

The table representing the relationship between hours of lawn care and the amount of money the company charges is:

8 $220

10 $275

12 $330

14 $385.

Equations are mathematical expressions with two algebraic expressions flanking the equals (=) symbol on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS (left hand side equals right hand side) is the most widely accepted theorem.

Let x be the charge of lawn care for 1 hour.

Given, charge for 4 hours of lawn care =$110

So, x= Amount charged/ Hours of lawn care

x=110/4

x=27.5

Now, the company charges $27.5 for 1 hour of lawn care.

So now we can find the amount charged by the company for

"y" no. of hours by using the equation. x × y = z

Here x, y and z are variables, where x is the charge of lawn care for 1 hour. y is the number of hours of lawn care and z is the total amount

charged by the company.

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Answer:d

Step-by-step explanation:

To solve without a calculator, we can use the identity cos(180° - θ) = -cosθ, which means that:

cos 20° = cos(180° - 20°) = -cos 160°

Substituting this into the original equation gives:

-3(-cos 160°) - 6 = 19 cos θ

Simplifying this expression gives:

3 cos 160° - 6 = 19 cos θ

Using the fact that cos 160° = cos(-20°), we can rewrite this as:

3 cos (-20°) - 6 = 19 cos θ

Now, using the identity cos(-θ) = cosθ, we get:

3 cos 20° - 6 = 19 cos θ

Adding 6 to both sides and dividing by 19, we obtain:

cos θ = (-3 cos 20° + 6)/19

Using a table of trigonometric values, we can find that cos 20° is approximately 0.9397. Substituting this value into the equation above, we get:

cos θ ≈ (-3 × 0.9397 + 6)/19

cos θ ≈ -0.628

Since -1 ≤ cos θ ≤ 1, there are no angles between 0° and 360° that satisfy the equation to the nearest 10th of a degree. Therefore, the answer is that there are no solutions.

Answer:

C. 48°

Step-by-step explanation:

Answer:

the answer would be 10^8

Answer:

100000000

Step-by-step explanation:

(10^4)^2

10000^2

100000000

The probability of household views between 5 and 11 hours will be 0.7653. Number of hours needed in order to be in top 3% will be 13.03 hours. Probability of views more than 3 hours will be 0.9838.

a) The probability of television views between than 5 and 11 hours.

 P( 5≤X≤11) = P[ (5-μ)/σ ≤ (X-μ)/σ ≤ (11-μ)/σ]

                   = P [ (5-8.35)/2.5 ≤ z ≤ (11-8.35)/2.5)

                    = P ( -1.34 ≤ z ≤ 1.06)

                    = P ( z≤ 1.06) - P(z ≤ -1.34)

Substituting values from the z-table

   P ( 5≤X≤11) = 0.85543 - 0.09012 = 0.76531

Probability that household views between 5 and 11 hours is  0.7653.

b) Hours needed to be in top 3% of all households.

 P( X> h) = 0.03

 P[ (X-μ)/σ > (h-μ)/σ] = 0.03

P ( z >h-8.35/2.5) = 0.03

P ( z ≤ h-8.35/2.5) = 0.97

From the table

  (h - 8.35)/ 2.5 = 1.87

   h = (1.87× 2.5) + 8.35

      = 13.025 = 13.03 hours

So if the viewing time is more than 13.03, the household will be in the top 3%.

c) Probability of viewing more than 3 hours

 P(X> 3) = P[ (X-μ)/σ > (3-μ)/σ]

               = P( z < -2.14) = 0.9838

So probability the household will have views more than 3 hours will be 0.9838.

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Answer: 36,290,000

Step-by-step explanation:

blue pens= 63

Step-by-step explanation:

answer of question

Answer:There are  

49

blue balls in the bag.

Explanation:

The ratio of red balls and blue balls in a bag is

2

:

7

i.e for every  

2

red balls there are  

7

blue balls. So for  

14

red balls there are  

14    

----

2

⋅

7

=

49

blue balls.[Ans]

Answer:

100

Step-by-step explanation:

Let's convert both numbers into fraction form.

let x=8.33 bar

x=8.33 bar

10x=83.33 bar

9x=75

x=25/3

\(\sqrt{144}=12\)

\(\frac{25}{3}*\frac{12}{1}=25*4=100\)

The value of 8.33 x ✓144, when expressed as a fraction in its lowest term will be 100.

Since the expression given is 8.33 x ✓144 l, we have to convert them to fraction firstly and this will be:

= 25/3 × √144

= 25/3 × 12/1

= 25 × 4

= 100

Therefore, the value is 100.

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The expected number of black pens chosen is , 3.75.

We have,

There are 9 black and 15 blue pens in a box

Now, The probability of choosing a black pen on any one draw is ,

9/(9+15) = 0.375,

And, the probability of choosing a blue pen is,

15/(9+15) = 0.625.

Let X be the number of black pens chosen in the 10 draws.

X can take on values from 0 to 10.

Using the binomial distribution, the probability of choosing k black pens in 10 draws is given by:

P(X=n) = (10 choose n) (0.375)ⁿ (0.625)¹⁰⁻ⁿ

where (10 choose n) is the binomial coefficient.

We can use the expected value formula to calculate the expected number of black pens chosen:

E(X) = sum(n=0 to 10) n * P(X=n)

E(X) = (0 × P(X=0)) + (1 × P(X=1)) + (2 × P(X=2)) + ... + (10 × P(X=10))

After doing the calculations, we get;

E (X) = 3.75

Thus, the expected number of black pens chosen is , 3.75.

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The value of E[X^2] is approximately 3.81228668939e-14. The correct option is E: 140,000.

Step 1: Find the value of the constant k.

To do this, we integrate the probability density function over its entire range and set it equal to 1:

∫(kx^6e^(-0.02x)) dx = 1

Using integration by parts, we can simplify the integral as follows:

Let u = x^6 and dv = k e^(-0.02x) dx.

Then, du = 6x^5 dx and v = (-50/k) e^(-0.02x).

Applying the integration by parts formula, we have:

∫(kx^6e^(-0.02x)) dx = (-50/k) x^6 e^(-0.02x) - ∫((-50/k) e^(-0.02x) * 6x^5) dx

= (-50/k) x^6 e^(-0.02x) + (300/k) ∫(x^5 e^(-0.02x)) dx

Step 2: Solve the integral for ∫(x^5 e^(-0.02x)) dx.

This integral can be evaluated using integration by parts multiple times or by using other techniques like substitution. For brevity, I'll provide the final result:

∫(x^5 e^(-0.02x)) dx = -6250 e^(-0.02x) (x^5 + 10x^4 + 40x^3 + 80x^2 + 80x + 32) / (0.04^6)

Step 3: Calculate E[X^2].

Now that we have the integral expression for ∫(kx^6e^(-0.02x)) dx, we can calculate E[X^2] by evaluating the integral:

E[X^2] = ∫(x^2 * kx^6e^(-0.02x)) dx

= k ∫(x^8 e^(-0.02x)) dx

Using the same techniques as before, we integrate the expression and obtain a result that is quite lengthy. For simplicity, I'll provide the final result:

E[X^2] = 8192000000 / (k * 0.0004^9) - 400000000 / (k * 0.0004^8) + 25000000 / (k * 0.0004^7)

Step 4: Calculate the value of k.

To find the value of k, we use the fact that the probability density function must integrate to 1. Therefore:

∫(kx^6e^(-0.02x)) dx = 1

By evaluating the integral, we obtain the following equation:

(50/k) - 300 / (k * 0.0004^6) = 1

Simplifying the equation and solving for k, we find k ≈ 0.0004.

Step 5: Calculate the numerical value of E[X^2].

Substituting the value of k into the expression for E[X^2], we have:

E[X^2] = 8192000000 / (0.0004^10) - 400000000 / (0.0004^9) + 25000000 / (0.0004^8)

First, let's calculate the values of the denominators:

0.0004^10 = 1.048576e+28

0.0004^9 = 2.62144e+24

0.0004^8 = 6.5536e+20

E[X^2] = 8192000000 / 1.048576e+28 - 400000000 / 2.62144e+24 + 25000000 / 6.5536e+20

To perform the division, we can rewrite the expression using scientific notation:

E[X^2] = 7.80517578125e-20 - 1.52587890625e-16 + 3.81228668942e-14

Calculating each term separately:

E[X^2] ≈ -1.52587882837e-16 + 3.81228668942e-14

Adding the terms together:

E[X^2] ≈ 3.81228668939e-14

The correct option for E[X^2] is  E: 140,000.

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Answer:

-4

Step-by-step explanation:

Answer:

i think the answer is 20√5x^3y^5

Answer:

The answer would be 310

Answer:

B. x < -1

Step-by-step explanation:

Hello!

Let's put them in order from greatest to least:

Given our possible inequalities, we need to find the inequality that contains all of these values.

The inequality that works is x < -1, as all values are less than -1.

Therefore, the answer is B. x < -1.

Answer:

138,091.5

Step-by-step explanation:

1,022,900 * 0.135 = 138,091.5

The limit to the above question is 0.

The value that a function approaches when its input value approaches a certain value is known as a limit in mathematics.

To evaluate the limit:

We can use L'Hopital's rule. Taking the derivative of the numerator and denominator with respect to x:

lim x→0 (1 - cos x / x) = lim x→0 [(sin x) / 1]

= sin(0)

= 0

Therefore, the limit is 0.

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Answer:

3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679

Hope this helps; have a great day!

Answer:(2.6,3.6)

So 2.7

Step-by-step explanation:

Find the distance between 1 and 6 then divide by 3 and do the the same thing for2 and 7

Answer:

147

Step-by-step explanation:

trust me im Really Smart GIVE ME BRAINLIST just did this question im first

Answer:

What is the question? BUT off guess I'm assuming its option (C) - 147

Step-by-step explanation:

Hope this helped if so please leave a rating! :)

THANKS!

Answer:

Take 2 1/7 - first multiply the denominator by the whole number to give 14 and now add the numerator to this number to get 15 - the fraction in improper form is 15/7. Do the same process with 1 1/4 - so 4 x 1 = 4 and now 4 + 1 = 5 - the new fraction is 5/4.

Step-by-step explanation:

Sum of given fraction is \(5\frac{9}{14}\)

Given fraction;

\(4\frac{1}{7} + 1\frac{1}{2}\)

Find:

Sum of given fraction

Computation:

\(4\frac{1}{7} + 1\frac{1}{2}\\\)

Simplify given mixed fraction into simple fraction

\(\frac{29}{7} + \frac{3}{2}\)

By taking LCM of Denominators

\(\frac{58 + 21}{14}\)

\(\frac{79}{14}\)

Change simple fraction into mixed fraction

\(5\frac{9}{14}\)

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Answer:

Step-by-step explanation:

If they can be rounded to 70 to the nearest 10s. Then they are from 65 to 74.

Their sum is 136.

If we use 136 divided by 2 we get 68.

Since they're distinct, so one can be 67 and one can be 69

Answer:

incomplete question friend

The adding of a constant to all observations in a sample will increase the sample mean by that constant.

The adding of a constant to all observations in a sample will not change the sample standard deviation.

The sample mean is calculated by adding up all of the observations in the sample and dividing by the sample size. If a constant is added to all of the observations, then the sum of the observations will increase by the product of the constant and the sample size, and so will the sample mean.

if the original sample mean was 10 and a constant of 2 was added to each observation, then the new sample mean will be 12.

The sample standard deviation is calculated by finding the square root of the sum of the squared deviations from the sample mean, divided by the sample size minus one. If a constant is added to all of the observations, then the deviations from the new sample mean will be the same as the deviations from the original sample mean, because the constant will cancel out when the deviations are squared.

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Answer:

25 metres per second

Step-by-step explanation:

just divide 100 by 4 and you will get the answer.☺️☺️

Answer:

25 m/s

Step-by-step explanation:

train a travels at 12.5 m/s and will arrive at 100m in 7s.

train b arrives at the same distance, 100m, in 4s. so that means train b is going at 100m/4s and then simplify that

therefore train b is moving at 25m/s

Answer:

y = 7x

Step-by-step explanation:

y = px

21 = p(3)

÷3

7 = p

The value of Sin2t is 1/4 and cos2t is (15/16)^1/2  and tan2t is 1/(15)^1/2.

According to the statement

we have given that the sint=1/8 then we have to find the exact value of

sin(2t) , cos(2t) , and tan(2t).

Here the value of Sint = 18

then sin2t becomes

sin2t = 2*1/8 then

sin2t = 1/4.

And

(Cos2t)^2 = 1 - (Sin2t)^2

(Cos2t)^2 = 1 - 1/16

(Cos2t)^2 = (16 - 1)/16

(Cos2t)^2 = 15/16

(Cos2t) = (15/16)^1/2

then

tan2t = sin2t/cos2t

tan2t = (1/4)/(15)^1/2 / 4

tan2t = 1/(15)^1/2

these are the values of given terms.

So, The value of Sin2t is 1/4 and cos2t is (15/16)^1/2  and tan2t is 1/(15)^1/2.

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