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Answer:

11.53 degrees.

Step-by-step explanation:

ok so we know the hyp and opp sides. this means that it is sin. according to SOHCAHTOA we do sin^-1(2/10). you should get 11.53

Answer:

11.5396°

Step-by-step explanation:

Please see the attached image

We can do sin(x)=2/10, which simplifies to sin(x)=1/5

To get x by itself do [tex]x=sin^{-1}[/tex](1/5) which ≈11.5396°

Answer:

234

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

D. 9/40 would be the answer.

Step-by-step explanation:

formula

sinQ= opp/hyp (9/41)

TanQ= opp/adj (which mean 9 /40)

Ok, I hope im right. (Others correct me if im not. But when I worked out this problem I got y is approximatly 4,882 attendees after 6 years.

Gathering info from the graph I created a table

(0,20) , (1,30) , (2,45), ...

I found the difference between the points listed. For example, 30÷20 is 1.5. So, each point is multiplied times 1.5 to continue the sequence.

Use the equation: y=a(1+r)^t

Remember what each variable stands for. That way you can plug in the correct information

Continuing..

y=a(1+r)^t

y=20(1+1.5)^t ; combine like terms

y=20(2.5)^t

b) Plug in the # of years. 6 in our case, everywhere you see a t

y=20(2.5)^6

y is approximately equal to 4882.8125

Round because we can only have whole numbers. we're talking about people.

I hope I got this right. But, if not, I tried

Answer:

who knows

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

2 1/2 = 5/2

(5/2)/(1/8) = 20

Answer:

49400

Step-by-step explanation:

Answer:

so 38 % of 130000 = 49,400

so now after loss it's original price will be 130000-49400(38%)

=$800600

Answer:

x>2

Step-by-step explanation:

x+1>3

x>3-1

x>2

I hope this helps

Answer:

The third choice 2(a^3+3a^2h+3ah^2+h^3)

Step-by-step explanation:

f(a+h)=2(a+h)^3

Answer:

C

Step-by-step explanation:

Answer:

its 10

Step-by-step explanation:

add the numbers, 4 and 6 where you'll get 10

Answer:

x=1

Step-by-step explanation:

9514 1404 393

Answer:

  968

Step-by-step explanation:

The area of the top and sides is given by the formula ...

  A = LW +2H(L +W)

  A = (20 cm)(18 cm) +2(8 cm)(20 cm +18 cm)

  A = (360 +16(38)) cm² = 968 cm²

Since the tiles are 1 cm², 968 tiles are needed.

Answer:

7 degrees

Step-by-step explanation:

It has a right angle and it's a triangle so the angle is a complementary angle so the total for the angle is 90 degrees.

So then you add 39 + 44 and get 83

So, 90 - 83 +7

So your total is 7 degrees

Answer: E ( (17)(50)/88 )

Step-by-step explanation:

(Row total * column total) / table total

Step-by-step explanation:

Find the Greatest Common Factor (GCF).

[tex]gcf = 2(a + b)[/tex]

Factor out the GCF.

[tex]2(a + b)( \frac{2(a + b)}{2(a + b)} + \frac{4m(a + b)}{2(a + b)} [/tex]

now, Simplify each term in parentheses.

[tex]2(a + b)(1 + 2m)[/tex]

hence, if we factor out the GCF (greatest common factor), we get the answer 2 (a + b) (1 + 2m).

Answer:

ŷ = 1.85057X1 + 0.9688X2 + 84.77516

Step-by-step explanation:

Given the data:

Weekly Gross Revenue (Y) :

97

90

96

93

95

95

94

94

Television Advertising (X1) :

5

2

5

3.5

3

4.5

2.5

3

Newspaper Advertising (X2) :

2.5

2

2.5

2.5

4.3

2.3

5.2

2.5

The regression equation obtained using a multiple regression calculator is :

ŷ = 1.85057X1 + 0.9688X2 + 84.77516

x1 and x2 are the predictor variables

y is the predicted variable (Weekly Gross Revenue).

Slope x1 = 1.85057

Slope x2 = 0.9688

Intercept = 84.77516

Answer:

i did it 4 times and the answer is D

Step-by-step explanation:

Answer:

Option D) is Correct

Step-by-step explanation:

I took the test on T4L and got it right.

Answer:

Sorry that it is in english.

Step-by-step explanation:

The arms of the compass mesure the radius.

[tex]r=10\\2r=diamater (d)\\2*10=d\\20=d[/tex]

Answer:

We need to find length and width.  To find two unknowns we need two equations.

P = 2L + 2W = 34

L = W + 3

34 = 2(W + 3) + 2W

34 = 2W + 6 + 2W

28 = 4W

W = 7

L = 7 + 3 = 10

The length is 10 inches and the width is 7 inches.

Step-by-step explanation:

Answer:

The point estimate for the true difference between the population means is 0.13.

The 90% confidence interval for the difference between the true mean ages for cars owned by students and faculty is between -0.35 years and 0.61 years.

Step-by-step explanation:

To solve this question, before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes 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.

Subtraction between normal variables:

When we subtract two normal variables, the mean is the subtraction of the means while the standard deviation is the square root of the sum of the variances.

A sample of 263 cars owned by students had an average age of 7.25 years. The population standard deviation for cars owned by students is 3.77 years.

This means that:

[tex]\mu_s = 7.25, \sigma_s = 3.77, n = 263, s_s = \frac{3.77}{\sqrt{263}} = 0.2325[/tex]

A sample of 291 cars owned by faculty had an average age of 7.12 years. The population standard deviation for cars owned by faculty is 2.99 years.

This means that:

[tex]\mu_f = 7.12, \sigma_f = 2.99, n = 291, s_f = \frac{2.99}{\sqrt{291}} = 0.1753[/tex]

Difference between the true mean ages for cars owned by students and faculty.

Distribution s - f. So

[tex]\mu = \mu_s - \mu_f = 7.25 - 7.12 = 0.13[/tex]

This is also the point estimate for the true difference between the population means.

[tex]s = \sqrt{s_s^2+s_f^2} = \sqrt{0.2325^2+0.1753^2} = 0.2912[/tex]

90% confidence interval for the difference:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = zs = 1.645*0.2912 = 0.48[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 0.13 - 0.48 = -0.35 years

The upper end of the interval is the sample mean added to M. So it is 0.13 + 0.48 = 0.61 years.

The 90% confidence interval for the difference between the true mean ages for cars owned by students and faculty is between -0.35 years and 0.61 years.

Answer:

m - n = 501

Step-by-step explanation:

Remark

The first thing you have to do is find the number of odd and even numbers. This is where you have to be careful because there is a danger of being out by one.

equation

l = a + (n - 1)*d

Solution even

l = 1000

a = 2

d = 2

1000 = 2 + (n - 1)*2

998/2 = (n - 1) * 2 / 2

499 =  n - 1

n = 500

Solution odd

l = 1001

a = 1

d = 2

1001 = 1 + (n - 1)*2

1000 =  (n - 1)*2

1000/2 =  (n - 1)2/2

500 =  n - 1

501 = n

Sum Even of even numbers from 1 to 1001

Givens

a = 2

n = 500

l = 1000

Equation

Sum = (a + l ) * n / 2

Solution

Sum = (2 + 1000)*500/2

Sum = 1002 * 250

Sum = 250500

Sum of Odd numbers from 1 to 1001

a = 1

l = 1001

n = 501

Equation

sum = (a + l)*n/2

sum = (1 + 1001) * 501

sum = (1002)*501 / 2

Sum =  251001

Answer

m - n = 251001 - 250500 = 501

Answer:41

Step-by-step explanation:the week end is three days and he saw 5 blue car and 2 white car and 10 black car multiple 5 times 3 and = 15 now multiple 2 times 3 = 6 then add 15 and 6 and 10

Answer:

I think it is 10:17 the ratio

Answer:

4 a − 3 x + 4

Step-by-step explanation:

I just simplified everything together to get this answer.

Hope that this helped! :)

Have a great rest of your day/night!

Please thank me on my profile if this answer has helped you!

Answer:

C

Step-by-step explanation:

Hope this help and have a nice day

Answer:

SA = 253.5 cm

Step-by-step explanation:

SA = 6a^2

SA = 6(6.5)^2

SA = 6(42.25)

SA = 253.50 cm

Step-by-step explanation:

Let h be the number of hours.

Total Cost = Fixed Costs + Variable Cost

= Initial Fee + Hourly Charge

= 75 + 9h

Given,

[tex]75 + 9h = 250 \\ 9h = 250 - 75 \\ 9h = 175 \\ h = 175 \div 9 \\ = 19 \frac{4}{9} hr[/tex]

Since the car cannot be rent part of an hour, the highest possible whole number is 19 hours.

Answer:

$35.70

Step-by-step explanation:

small package: 2.10×6=12.60

large package: 3.30×7=23.10

total: 23.10+12.60=35.70

Answer:

23.6

Step-by-step explanation: