8+1/5y=1

Back at it again with my stupidity

The value of the angle U in the triangle is 92.10 degrees.

The angle U in the triangle can be found using cosine rule as follows:

Let's use cosine formula to find the angle U

c² = a² + b² - 2ab cos C

Hence,

Therefore,

a = 58.8

b = 38.4

c = 71.4

Hence,

71.4²  = 58.8² +  38.4² - 2(58.8)(38.4) cos U

5097.96 = 3457.44 + 1474.56 - 4515.84 cos U

5097.96 - 4932 =  - 4515.84 cos U

165.96 = - 4515.84 cos U

divide both sides by - 4515.84

cos U = 165.96 / - 4515.84

cos U = - 0.03675063775

U = cos⁻¹ - 0.03675063775

U = 92.1032274244

Therefore,

U = 92.10 degrees

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50%

since 98/2 = 49

Thats it

Answer:

\({ \tt{3x + 4(x - 8) - 14}} \\ = { \tt{3x + 4x - 32 - 14}} \\ = { \tt{7x + 46}}\)

Answer:

1st number: 37

2nd number: 22

Step-by-step explanation:

let n = 1st number

let n-15 = 2nd number

n+(n-15)=59

collect like terms: 2n-15=59

add 15 to both sides

2n=74

divide both sides by 2

n=37

n-15=22

Answer:

D 18%

Step-by-step explanation:

18/100 = 18%so D is the answer

Answer:

55 degrees

Step-by-step explanation:

sum of all angles of a triangle equal 180

to find x we add them all and set them equal to 180

(57+x)+(72+x)+55=180

129+2x+55=180

184+2x=180

-184.    -184

2x= -4

/2.  /2

x=-2

now to find angle A

57+(-2)

55

hopes this helps

Answer:

210

Step-by-step explanation:

you just need to multiply all numbers

Given

there are 1000 numbers from 000 to 999

Find

Expected value for this game

Explanation

as we have 1000 numbers from 000 to 999

probability to win = 1/1000

if the player wins the game , the amount he gains = $700 - $2 = $698

probability to lose the game = 1-1/1000 = 999/1000

if player loses the game , the amount he gains = -$2

therefore , the expected value =

Final Answer

Hence , the expected value of the numbers game is -$ 1.3

Answer:

The height/altitude should be 6 and the length should be 11

Step-by-step explanation:

you can check it, 6x11 then divided by 2 will give you 33

hope this helped have a good day! please mark me brainliest if you can

Answer:

45 ft^2.

Step-by-step explanation:

Area = area of the square + 2 * area of one triangle

= 5^2 + 2 * 1/2 * 5 * 4

= 25 + 20

= 45 fT^2.

Assuming the sample values are normally distributed, we can construct a 95% confidence interval estimate of the standard deviation of wake times for the population with drug treatments.

Using the formula for a confidence interval estimate of a population standard deviation, we can calculate the lower and upper bounds of the interval. The formula is:

(Lower Bound) ≤ σ ≤ (Upper Bound)

Where:
Lower Bound = √(n - 1) x s^2 / χ^2 (α/2, n-1)
Upper Bound = √(n - 1) x s^2 / χ^2 (1-α/2, n-1)
n = sample size (28)
s = sample standard deviation (41.2 minutes)
χ^2 (α/2, n-1) = chi-square value for α/2 and n-1 degrees of freedom (from chi-square distribution table)
χ^2 (1-α/2, n-1) = chi-square value for 1-α/2 and n-1 degrees of freedom (from chi-square distribution table)
α = level of significance (0.05 for a 95% confidence interval)
Plugging in the values, we get:
Lower Bound = √(28-1) x (41.2)^2 / χ^2 (0.025, 27) = 26.6
Upper Bound = √(28-1) x (41.2)^2 / χ^2 (0.975, 27) = 65.6
Therefore, the 95% confidence interval estimate of the standard deviation of wake times for a population with drug treatments is between 26.6 and 65.6 minutes. This means that we are 95% confident that the true population standard deviation of wake times for older subjects treated with the drug for insomnia falls within this range.
To construct a 95% confidence interval estimate of the standard deviation of wake times for a population with drug treatments, follow these steps:

1. Identify the sample size (n), sample standard deviation (s), and the chi-square values from the chi-square distribution table for the given confidence level:
- Sample size (n): 28 subjects
- Sample standard deviation (s): 41.2 minutes

For a 95% confidence level with 27 degrees of freedom (n-1), the chi-square values are:
- Lower chi-square value (χ²₁): 14.573
- Upper chi-square value (χ²₂): 41.337

2. Apply the chi-square formula to calculate the lower and upper limits of the confidence interval:
Lower limit = √((n - 1) × s² / χ²₂) = √((28 - 1) × 41.2² / 41.337) = 31.1 minutes
Upper limit = √((n - 1) × s² / χ²₁) = √((28 - 1) × 41.2² / 14.573) = 62.0 minutes

3. Interpret the result:
The 95% confidence interval estimate for the standard deviation of wake times in a population treated with the drug for insomnia is between 31.1 minutes and 62.0 minutes. This means that we are 95% confident that the true standard deviation of wake times for this population lies within this range.

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Answer: 48

Step-by-step explanation: just got it right on ap3x

To find the dimensions of a blanket with an area of 9ft^2 and a length twice the width minus 3 feet, you need to solve a quadratic equation. The width is approximately 2.25 feet, and the length is approximately 2 feet.

Let's assume that the width of the blanket is x feet. Then, the length of the blanket can be expressed as 2x - 3 feet (as per the given information).

Now, we can use the formula for the area of a rectangle to set up an equation

Area = Length x Width

Substituting the given values

9 ft^2 = (2x - 3 ft) x (x ft)

Expanding the right side

9 ft^2 = 2x^2 - 3x ft

Bringing everything to one side

2x^2 - 3x ft - 9 ft^2 = 0

Now, we can use the quadratic formula to solve for x.

x = [3 ± √(3^2 - 4(2)(-9))]/(2(2))

x = [3 ± √(105)]/4

Since the width cannot be negative, we take the positive root

x = [3 + √(105)]/4

x ≈ 2.5 ft

Therefore, the width of the blanket is approximately 2.5 feet, and the length is 2(2.5) - 3 = 2 feet.

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Answer:

They must sell 2700 dollars to recieve the same sallary.

Step-by-step explanation:

The expression for Scarlett's sallary is:

g(x) = 185 + 0.03*x

The expression for Mia's sallary is:

f(x) = 23 + 0.09*x

In order for them to recieve the same sallary they must sell:

185 + 0.03*x = 23 + 0.09*x

0.09*x - 0.03*x = 185 - 23

0.06*x = 162

x = 162/0.06 = 2700

They must sell 2700 dollars to recieve the same sallary.

Answer:

This was on my test

Step-by-step explanation:

lol

Answer:

1 Simplify  \frac{24}{5}x  

5

24

​  

x  to  \frac{24x}{5}  

5

24x

​  

.

\frac{24x}{5}=-\frac{11}{4}

5

24x

​  

=−  

4

11

​  

2 Multiply both sides by 55.

24x=-\frac{11}{4}\times 5

24x=−  

4

11

​  

×5

3 Use this rule: \frac{a}{b} \times c=\frac{ac}{b}  

b

a

​  

×c=  

b

ac

​  

.

24x=-\frac{11\times 5}{4}

24x=−  

4

11×5

​  

4 Simplify  11\times 511×5  to  5555.

24x=-\frac{55}{4}

24x=−  

4

55

​  

5 Divide both sides by 2424.

x=-\frac{\frac{55}{4}}{24}

x=−  

24

4

55

​  

​  

6 Simplify  \frac{\frac{55}{4}}{24}  

24

4

55

​  

​  

  to  \frac{55}{4\times 24}  

4×24

55

​  

.

x=-\frac{55}{4\times 24}

x=−  

4×24

55

​  

7 Simplify  4\times 244×24  to  9696.

x=-\frac{55}{96}

x=−  

96

55

​  

Step-by-step explanation:

Step-by-step explanation:

one gallon is 128oz.

1445 gallons are how many Oz?

that applies the same principle as every-day situations like "every guest will eat 2 dumplings. 12 guests are coming, so how many dumplings do I have to prepare ?"

or totally simple : "every child will get one gift. 4 children are coming, so how many gift do I have to prepare ?"

it all works with multiplication. it is the ultimate application for multiplication.

that is why we use "times" in normal language as in mathematical terms. like "it takes 3 screws to mount a leg to a table. and the table needs 4 legs. how many times do I need to fasten a screw to finish one table ?" well, 4 times 3 or 4×3 = 12 times.

and so, the answer to the original question is then I need to take the amount of one gallon 1445 times.

128 × 1445 = 184,960oz

9514 1404 393

Answer:

  marked price = Rs. 3900

Step-by-step explanation:

The difference between the discounts is 30% -20% = 10% of the marked price. The difference in Rs is 120 -(-270) = 390. If Rs. 390 is 10% of the marked price, then the marked price is (Rs. 390)/(0.10) = Rs. 3900.

The marked price is Rs. 3900.

_____

Check

A 20% discount from 3900 is a price of 3120. If the profit is 120, the cost price is 3000. A 30% discount from 3900 is 2730. This is 270 below the 3000 cost price, so our answer is consistent with problem requirements.

a) Ninety percent is not a trustworthy estimate of the percent of all students who are outraged.

It is important to note that a sample of 5000 responses, while large, may not necessarily be representative of the entire population of students. The sample may have biases or limitations that affect the results of the survey. For example, the survey may have only been distributed to certain groups of students or there may have been a higher response rate from students who are particularly passionate about the issue.
In order to accurately estimate the percent of all students who are outraged, a representative sample of the entire population of students would need to be surveyed, and the survey would need to be designed and administered in a manner that minimizes biases and limitations.

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Complete question:

The university newspaper posts a survey question to its readers asking for opinions on the recently approved increase in fees for parking in a garage. The newspaper receives more than 5000 responses and reports that 90% of students are outraged over the approval of the garage parking fee. Which of the following is true?

a) Ninety percent is not a trustworthy estimate of the percent of all students who are outraged.

b) Ninety percent is an accurate estimate of the percent of all students who are outraged, since the sample size is so large.

True.

if y is not the zero vector, then there exists a non-zero vector v in the original vector space that is orthogonal to y.

If y is in a subspace W as well as its orthogonal complement Wâ¥, then y is orthogonal to every vector in W as well as every vector in Wâ¥. Since W and W⥠are complements, every vector in the original vector space can be written uniquely as the sum of a vector in W and a vector in Wâ¥. Since y is orthogonal to every vector in W and every vector in Wâ¥, it must be orthogonal to every vector in the original vector space.

Therefore, if y is not the zero vector, then there exists a non-zero vector v in the original vector space that is orthogonal to y. But then v would belong to both W and Wâ¥, which is impossible since W and W⥠are orthogonal complements and their intersection is only the zero vector.

Hence, it follows that if y is in a subspace W as well as its orthogonal complement Wâ¥, then y must be the zero vector.

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Answer:

Step-by-step explanation:

Area of the rectangle = length * width

                                   = 10 * 5

                                   = 50 m²

Area of the smaller rectangle that is white color = 7 * 2

                                                                               = 14 m²

Triangle:

base = b = 5 m

Height = h = 16 - 10 = 6 m

Area of triangle = \(\frac{1}{2}*b*h\\\)

                          \(= \frac{1}{2}*5*6\\\\= 5*3\\\\= 15 m^{2}\)

Area of shaded area = area of bigger rectangle - area of smaller rectangle + area of triangle

 = 50 - 14  + 15

= 21 m²

Yes. \(f(x)\) is a PDF if

• \(f(x) \ge 0\) for all \(x\) in the support; this is true, since \(e^{-x}>0\) for all \(x\), and multiplying a positive number \(x\) doesn't change this fact;

• the integral of \(f(x)\) over its support is 1; this is also true, since

\(\displaystyle \int_{-\infty}^\infty f(x) \, dx = \int_0^\infty xe^{-x} \, dx = 1\)

which can be computed by parts.

Never. Correlation does not imply causation. A correlation coefficient based on an observational study can only be used to suggest a relationship between two variables, but it cannot be used to support a claim of cause and effect.

Correlation is a measure of the relationship between two variables. It is used to measure how two variables move together. A correlation coefficient based on an observational study can only be used to suggest a relationship between two variables, but it cannot be used to support a claim of cause and effect. This is because correlation does not imply causation. A correlation coefficient close to -1 or +1 is an indication of a strong linear relationship between the two variables, but this does not necessarily imply a cause-and-effect relationship. Additionally, even if the scatterplot of the data has little vertical variation, this does not guarantee a cause-and-effect relationship. In summary, correlation coefficients based on observational studies can never be used to support a claim of cause and effect.

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Akbar paid Rs 864.50 for the watch after applying the 5% discount.

Akbar bought a watch that was originally priced at Rs 910, but he was able to purchase it at a 5% discount. To calculate how much he paid for the watch, we need to first find out how much the discount was.

To do this, we can use the formula:
Discount = Original price x Discount rate

In this case, the original price of the watch is Rs 910 and the discount rate is 5%, which we can express as a decimal by dividing by 100:

Discount = Rs 910 x 0.05
Discount = Rs 45.50

So the discount Akbar received on the watch was Rs 45.50.

To find out how much he actually paid for the watch, we can subtract the discount from the original price:

Price paid = Original price - Discount
Price paid = Rs 910 - Rs 45.50
Price paid = Rs 864.50

Therefore, Akbar paid Rs 864.50 for the watch after applying the 5% discount.

In summary, Akbar bought a watch at a 5% discount, which amounted to Rs 45.50. He paid Rs 864.50 for the watch after the discount was applied, even though the original price of the watch was Rs 910.

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The function that represents the number of patients she sees is; y = 9/4x + 5 and number of patients after 2 hours is 9 patients

We are given;

Number of patients the dental hygeinist cleans before lunch = 5

Average number that she cleans after lunch = 9 patients in 4 hours

Thus, number of patients per hour is 9/4

The formula for slope intercept form is;

y = mx + c

Thus, equation to represent the situation in the question is;

y = 9/4x + 5

At 2 hours after lunch, number of patients is;

y = 9/4(2) + 5

y = 9.5

Approximately 9 patients

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Answer: 30%

Step-by-step explanation:

   First, we will put completed over the total.

\(\frac{12}{40}\)

   Now, we will divide.

0.3

   Lastly, we will multiply by 100 to turn it into a percent.

0.3 * 100 = 30%

         You have ridden 30% of the course.

Answer:

The y-intercept is 2 and the slope is 1/2. So the equation is y = 1/2x + 2

Step-by-step explanation:

The y-intercept is where the line starts on the y-axis. For the slope to the next point on the line you have to move 2 units to the right and 1 unit up. When writing the slope as a fraction, you always put how far you move up or down above how far you move to the right or left.

Answer:

57°

Step-by-step explanation:

180° - 123° = 57°

The average hours per day spent watching TV among all students at the school. It only mentions a survey conducted on smartphone ownership among 50 students at the school .

To determine the average hours per day spent watching TV among all students, a separate survey or study would need to be conducted.he sample size of 50 is relatively small, so the confidence interval may be wider than if a larger sample was used. The confidence level of 95% means that if 100 independent samples were drawn from the population, 95 of the intervals would contain the true population proportion of smartphone ownership.

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