If I was born on December 24, two thousand and four and my classmate was born on April 9, two thousand and six, how many months, years and days are we apart?

9514 1404 393

Answer:

  65 cubic units

Step-by-step explanation:

Put the numbers in the formula and do the arithmetic.

  V = 1/3Bh

  V = 1/3(30)(6.5) = 65 . . . cubic units

Answer:

4/7 > 2/10

Step-by-step explanation:

4/7 is close to 1/2

2/10 is close to 0

4/7 > 2/10

Answer:

65.03 meters

Step-by-step explanation:

The line of best fit, for the distance of the winning throw, in x years after 1980 is:

[tex]y = 0.34x + 44.63[/tex]

Using the line of best fit, estimate what the distance of the gold medal winning discus throw was in 1980.

1980 - 1920 = 60, so this is y(60).

[tex]y(60) = 0.34(60) + 44.63 = 65.03[/tex]

So the answer is 65.03 meters.

Answer:

9876

Step-by-step explanation:

7:5

x:4115

To find x mulitply 7 by 823 (because this is what we multiplied 5 by in order to get 4115)

7*823= 5761

Take the sum to find the total number of votes

4115+5761= 9876

Step-by-step explanation:

For a quadratic equation, the second differences will always be the same.

First, we must calculate the first differences between the output, or the y values. This can be calculated as shown, taking the first value and subtracting the second value from that (e.g. 34 - 17 = 17, and 1-2 = -1):

34    17     6      1    2    9     22

\       /  \   /  \    /  \  / \   /   \   /

  17       11       5    -1     -7       -13

The second differences are the differences between the differences we just calculated. This can be calculated as shown:

17   11    5   -1   -7  - 13

\     / \   /  \  / \  / \      /

  6    6     6   6  6

The second differences are all 6, and as a result, we can verify that this is a quadratic relation

Answer: No, The goal when testing a hypothesis is to to guess a large significant level to possibly have the answer correct based upon evidence. False. It needs to be a large significant level

Step-by-step explanation:

Answer:

third option

Step-by-step explanation:

Brainliest please~

Answer:

x≤16

Step-by-step explanation:

1/2x - 3 ≤5

Add 3 to each side

1/2x -3+3 ≤5+3

1/2x≤8

Multiply each side by 2

1/2x*2 ≤8*2

x≤16

Answer:

8 inches

48 inches

total 56 inches

Step-by-step explanation:

x+6x = 56

7x = 56

Divide by 7

7x/7 = 56/7

x = 8

The smaller piece is x inches or 8 inches

The larger piece is 6x inches or 6*8 =48 inches

8+48 = 56 inches

The total length is 56 inches

Answer:

8 inches, and 48 inches

Step-by-step explanation:

x+6x=56

Solve the equation.

7x=56

x=8

Interpret the results and write the answer in words.

The smaller piece is x = 8 in.

The longer piece is 6x = 6 (8) = 48 in.

The lengths of the two pieces are 8 in

and 48 in.

Answer:

Ans: -21.87 ≅ -22°C

Step-by-step explanation:

T(x)=-22+44e^-0.03x

Initial temperature (x = 0):

T(0) = = -22 + 44e-0.03(0) = -22 + 44(1) = 22°C

After 18 minutes (x = 18):

T(18) = -22 + 44e-0.03(18) = -21.87°C ≅ -22°C

Answer:

[tex] 1,017.36 \: {cm}^{2} [/tex]

Step-by-step explanation:

Surface area of a sphere

[tex] = 4\pi {r}^{2} \\ = 4 \times 3.14 {(6)}^{2} \\ = 12.56 \times 81 \\ = 1,017.36 \: {cm}^{2} [/tex]

Answer:

1017.36 cm²

Step-by-step explanation:

Given :-

We know ,

[tex] \sf \: r \: = 30 \: in. \\ \sf \: C \: = 2\pi r \\ \\ \sf \: C \: = 2\pi(30) \\ \sf \: C = 2 \times 30\pi \\ \sf \: C = \boxed{\underline{ \bf c. \: 60\pi \: in.}}[/tex]

Answer:

(8.608, 9.392)

Step-by-step explanation:

We have the following information

Population standard deviation = 1.8

Sample mean = 9 hours

Sample n = 81

C I = 95%

So level of significance

Alpha = 1-0.95

= 0.05

Z critical at 0.05/2

Z(0.025) = 1.96

The 95% c.i =

9+-(1.96)(1.8/√81)

9+-(1.96)(0.2)

(9-0.392)(9+0.392)

(8.608, 9.392)

This is the confidence interval at 95%.

I hope you find my solution useful. Good luck!!!

Answer:

Fail to reject the null hypothesis.

Step-by-step explanation:

People who live in Florida and also have annual pass to Disney world is 221, sample size selected for group 1 is 350.

People who do not live in Florida and have annual pass to Disney world is 365, sample size selected for Group 2 is 650.

Group 1 sample proportion is : 221 / 350 = 0.6314

Group 2 sample proportion is 365 / 650 = 0.5615

Test statistics is 0.8317

Since test stats value is greater than the sample proportion significance level, we fail to reject the null hypothesis.

[tex]\boxed{ \sf{Answer}} [/tex]

[tex]\sf \: g(x) = {x}^{2} - 4 \\ \\ \sf \: x = 5 \\ \\ \sf \: g(5) = {5}^{2} - 4 \\ \sf \: g(5) = 25 - 4 \\ \sf \: g(5) =\underline 2\underline1[/tex]

Answer ↦21 [Option C]

[tex]\tt \: g(x) = {x}^{2} - 4[/tex]

Substitute the value of x as 5 (given) in the above equation. The equation changes too..

[tex]\tt \: g(5) = {5}^{2} - 4[/tex]

Now you can easily solve the equation.

[tex]\tt \: g(5) = {5}^{2} - 4 \\\tt g(5) =( 5 \times 5) - 4 \\ \tt \: g(5) = 25 - 4 \\ \tt \: g(5) = 21[/tex]

Answer - [tex]\boxed{\sf{21}}[/tex]

Job B because every year he gets a $2800 every year and if he continues for 5 years he will get a total of $14000 but if he works at job A he gets $5000 after 5 years

Step-by-step explanation:

A........a40,000 + b5000 WITH 5 YEARS

B........a35,000 + b14,000 with 5 years

answer B

Answer:

- What is the probability at least one of the two televisions does not work?

The probability at least one of the two televisions does not​ work is 0.8163

- The probability that both televisions work is?

The probability that both televisions work is 0.1837

Step-by-step explanation:

Total televisions are 7

Faulty televisions are 4

Number of televisions selected is 2

Answer:

$150

Step-by-step explanation:

discount=60%

let the price=x

(100-60)% of x=$60

40% of x=60

x=60×(100/40)=150

Answer:

100$or 20.4 that is the answer

The first or second one because a function can't have the x value repeating

Answer:

y = 9x-10

Step-by-step explanation:

Slope-Intercept form is y = mx + b where m is the slope and b is the y intercept.

plug in what we are given

8 = 9(2) + b

solve for the y intercept (b)

8=18+b

8-18 = b

-10 = b

plug the slope (m) and y intercept (b) into our formula

y = 9x - 10

7

15

because there are a total of 15 grid and the question asked to pick the grid that doesn't shaded

Answer:

7/15

Step-by-step explanation:

We can count the grids to see that there are 15. This is the total, and will become our denominator. From there, we can count the non blue squares to get to 7, our numerator. We put our numerator, 7, over pur denominator, 15. This gives us 7/15.

Answer:

The standard deviation of the distribution of sample means for samples of size 60 is of 1.2264.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Standard deviation is 9.5 for a population.

This means that [tex]\sigma = 9.5[/tex]

Sample of 60:

This means that [tex]n = 60[/tex]

What is the standard deviation of the distribution of sample means for samples of size 60?

[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{9.5}{\sqrt{60}} = 1.2264[/tex]

The standard deviation of the distribution of sample means for samples of size 60 is of 1.2264.

Answer:

35

Step-by-step explanation:

Answer:

(1)

[tex]E(x) = 0.72[/tex]

[tex]Var(x) = 1.1616[/tex]

[tex]\sigma = 1.078[/tex]

(2)

[tex]E(x) = 12[/tex]

[tex]Var(x) = 1.3[/tex]

[tex]\sigma = 1.14[/tex]

Step-by-step explanation:

Solving (1):

[tex]\begin{array}{ccccccc}{Days} & {0} & {1} & {2} & {3} & {4}& {5} \ \\ {Probability} & {0.60} & {0.20} & {0.12} & {0.04} & {0.04} & {0.00} \ \end{array}[/tex]

(a): Mean

This is calculated as:

[tex]E(x) = \sum x * P(x)[/tex]

So, we have:

[tex]E(x) = 0 * 0.60 + 1 * 0.20 + 2 * 0.12 + 3 * 0.04 + 4 * 0.04 + 5 * 0.00[/tex]

[tex]E(x) = 0.72[/tex]

Solving (b): The variance

This is calculated as:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

Where:

[tex]E(x) = 0.72[/tex]

and [tex]E(x^2) = \sum x^2 * P(x)[/tex]

So, we have:

[tex]E(x^2) = 0^2 * 0.60 + 1^2 * 0.20 + 2^2 * 0.12 + 3^2 * 0.04 + 4^2 * 0.04 + 5^2 * 0.00[/tex]

[tex]E(x^2) = 1.68[/tex]

So, we have:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

[tex]Var(x) = 1.68 - 0.72^2[/tex]

[tex]Var(x) = 1.1616[/tex]

Solving (c): The standard deviation.

This is calculated as:

[tex]\sigma = \sqrt{Var(x)}[/tex]

[tex]\sigma = \sqrt{1.1616}[/tex]

[tex]\sigma = 1.078[/tex]

Solving (2):

[tex]\begin{array}{ccccccc}{x} & {10} & {11} & {12} & {13} & {14}& { } \ \\ {P(x)} & {0.1} & {0.25} & {0.3} & {0.25} & {0.1} & { } \ \end{array}[/tex]

(a): Mean

This is calculated as:

[tex]E(x) = \sum x * P(x)[/tex]

So, we have:

[tex]E(x) = 10 * 0.10 + 11 * 0.25 + 12 * 0.3 + 13 * 0.25 + 14 * 0.1[/tex]

[tex]E(x) = 12[/tex]

Solving (b): The variance

This is calculated as:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

Where:

[tex]E(x) = 12[/tex]

and [tex]E(x^2) = \sum x^2 * P(x)[/tex]

So, we have:

[tex]E(x^2) = 10^2 * 0.10 + 11^2 * 0.25 + 12^2 * 0.3 + 13^2 * 0.25 + 14^2 * 0.1[/tex]

[tex]E(x^2) = 145.3[/tex]

So, we have:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

[tex]Var(x) = 145.3 - 12^2[/tex]

[tex]Var(x) = 1.3[/tex]

Solving (c): The standard deviation.

This is calculated as:

[tex]\sigma = \sqrt{Var(x)}[/tex]

[tex]\sigma = \sqrt{1.3}[/tex]

[tex]\sigma = 1.14[/tex]

Answer:

[tex] \frac{1}{1 + \cos(x) } [/tex]

Step-by-step explanation:

[tex]y = \frac{ \sin(x) }{1 + \cos(x) } [/tex]

differentiating numerator wrt x :-

(sinx)' = cos x

differentiating denominator wrt x :-

(1 + cos x)' = (cosx)' = - sinx

[tex] (\frac{u}{v} )' = \frac{v. \: (u)' - u.(v)' }{ {v}^{2} } [/tex]

here,

[tex] = \frac{((1 + \cos \: x) \cos \: x )- (\sin \: x. ( - \sin \: x) ) }{( {1 + \cos(x)) }^{2} } [/tex]

[tex] = \frac{ \cos(x) + \cos {}^{2} (x) + \sin {}^{2} (x) }{(1 + \cos \: x) {}^{2} } [/tex]

since cos²x + sin²x = 1

[tex] = \frac{ \cos \: x + 1}{(1 + \cos \: x) {}^{2} } [/tex]

diving numerator and denominator by 1 + cos x

[tex] = \frac{1}{1 + \cos(x) } [/tex]

Answer: width = 4 and length = 10

Step-by-step explanation:

Width = w and length = w + 6

2(w) + 2 (w + 6) = 28

2w + 2w + 12 = 28

4w = 28 - 12

W = 16/4

W = 4 (width)

Length = w + 6

4 + 6 = 10

Answer:

Harry collected 180 stamps

Harry's sister collected 60 stamps

Step-by-step explanation:

Let X be the number of stamps that Harry's sister colleted.

The number of stamps Harry colleted is 3 time as many as his sister's

⇒ 3*X + X = 240

⇒ X = 60

⇒ 240 - 60= 180

Answer:

180 for harry and 60 for his sister

Step-by-step explanation:

Answer:

The value of the CD at the end of the 4 years is $5,808.86.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Howard invested $5,000 in Certificate of Deposit (CD) that pays 3.75% interest.

This means that [tex]P = 5000, r = 0.0375[/tex]

Compounded weekly

An year has 52 weeks, so [tex]n = 52[/tex]

Then

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(t) = 5000(1 + \frac{0.0375}{52})^{52t}[/tex]

What is the value of the CD at the end of the 4 years?

This is A(4). So

[tex]A(4) = 5000(1 + \frac{0.0375}{52})^{52*4} = 5808.86[/tex]

The value of the CD at the end of the 4 years is $5,808.86.

Step-by-step explanation:

pandemic times: Potential ... - CAF

have shown evidence that the effect of corruption on real GDP per capita is more pronounced in countries with low levels of8