If the measure of angle 2=a+15 and the measure of angle 3=a+35, find a if HL is perpendicular to HJ

Answer:

1. b_ 2. a_ 3. c_ 4. d

Step-by-step explanation:

1 is b mainly because it is marked that way. Your picture doesn't show all of d so not really sure about it, but I used the process of elimination. Picture c is side angle side b/c of the vertical angles.

Answer: Every 12th bag has both a T-shirt and socks.

Step-by-step explanation:

Given: T shirt: Every fourth bag

Socks: Every third bag

Least common multiple of 4 and 3 = 12 as 4 and 3 are coprime (i.e. their highest common factor is 1) and 4 x 3 = 12

It implies every 12th bag has both a T-shirt and socks.

Hence,  Every twelfth bag has both a T-shirt and socks.

Answer:

x = 58.03°

Step-by-step explanation:

Given:

Solve for x:

1. \(x=cos^{-1}(\frac{9}{17})=58.03\)

Answer:

So, the measure of angle x is equal to 58.03.

There is no enough evidence to assert that the standard deviation of the process (in general) is over 2 mg

To determine whether the standard deviation of the process (in general) is over 2 mg to a 1% level of significance, you can perform a hypothesis test.

In this case, the null hypothesis is that the standard deviation of the process is equal to or less than 2 mg, and the alternative hypothesis is that the standard deviation of the process is greater than 2 mg.

To perform the hypothesis test, you can first calculate the test statistic. That is:

test statistic = (sample mean - hypothesized mean) / (standard error of the mean)

test statistic = (20.2 - 20) / (2.4 / √(13))

                    = 0.2 / 0.67

                    = 0.3

Next, you can look up the critical value for the test statistic in a table of critical values for a one-tailed test with a 1% level of significance and 12 degrees of freedom (df = 13 - 1).

The critical value for the test statistic is 2.6. Since the test statistic (0.3) is less than the critical value (2.6), you cannot reject the null hypothesis.

This means that you do not have enough evidence to assert that the standard deviation of the process (in general) is over 2 mg to a 1% level of significance.

Learn more about test statistic on:

https://brainly.com/question/4621112

#SPJ1

Answer:

19

Step-by-step explanation:

-73 + 92

92 - 72 = 19

Answer:

45%

Step-by-step explanation:

27/60 = x/100

Solve for x

x = 45

The solution has been explained below.

We will use the following equation, x² + y² = 81, where x and y are the pool's dimensions in feet, to determine the necessary estimations for the pool project.

1. Calculate the pool's diameter and radius:

We can infer that the radius of the pool is equal to the square root of 81 because the equation depicts a circle. As a result, r = 81 = 9 ft.

The pool's diameter is simply equal to twice its radius, or d = 2r = 18 feet.

2. Calculate the amount of water in the pool:

Since the pool is 4 feet high, we can determine its volume by multiplying the area of its circle-shaped base by the height.

The formula A = πr² can be used to calculate the area of the pool's base,

Therefore, V = Ah = πr²h = 1017.87 cubic feet represents the volume of water in the pool.

3. Determine the pool's total material cost:

There are 7.48 gallons in a cubic foot and a gallon of water costs $0.22.

As a result, Cw = V × 7.48 × 0.22 = 1017.87 × 7.48 × 0.22 = $1,619.72 is the entire cost of water for the pool.

If the radius of the pool is $185 per foot, then the cost of the materials is Cm = r × 185 = 9 × 185 = $1,665.

4. Calculate the pool's total labour hours:

A pool's construction is estimated to take 2.5 hours for every foot of its radius.

So, L = r × 2.5 = 9 × 2.5 = 22.5 hours of labour would be needed to complete this pool.

5. Calculate the total cost of labour for the project:

If you pay someone $19 per hour, Cl = L × 19 = 22.5 × 19 = $427.5.

6. Find the project's overall cost:

The project's overall cost is the product of its labour and material costs:

Cost as a whole equals Cm + Cw + Cl, which is 1,665 + 1,619.72 + 427.5, or $3,712.22.

In conclusion, the pool has an 18-foot diameter and a 9-foot radius according to the supplied equation. There are roughly 1017.87 cubic feet of water in the pool. Water and building supplies are included in the pool's projected material cost of $3,284.72. 22.5 hours of labour in total are needed, with a labour cost estimate of $427.5. Consequently, $3,712.22 is the expected final cost of the pool renovation.

Learn more about functions click;

https://brainly.com/question/31062578

#SPJ1

Answer:

The probability that your favorite song is played first is 1/60

Step-by-step explanation:

We assume that all 5 CDs have different songs so that only one of CDs will have our favorite song.

Then The probability that the CD that contains the song comes first will be,

(since there are 5 CDs)

1/5

And that CD has 12 songs, the probability that our favorite song will play first is then,

1/12

The total probability of our favorite song playing will be the product of these two, so,

P = (1/5)(1/12) = 1/60

P = 1/60

The probability that your favorite song is played first is 1/60

Statement (A) is true, Statement (B) is false, Statement (C) is true, Statement (D) is true and Statement (E) is false.

The given information is that P(odd) = 1/3

where odd numbers are 3 and 5, and there are two odd-numbered sections out of six equal sections.

(A) The probability of landing on an odd-numbered section is not exactly 33.33%, but approximately equal to 33.33% or 1/3.

So, statement (A) is true.

(B) The probability of landing on an even-numbered section is not exactly 66.67%, but approximately equal to 66.67% or 2/3.

So, statement (B) is false.

(C) The probability of landing on an odd-numbered section is given as 1/3, which is less than the probability of landing on an even-numbered section, which is 2/3. Therefore, statement (C) is true.

(D) It is given that one of the sections is numbered 6. So, it is not impossible to land on 6. Therefore, statement (D) is false.

(E) To determine if the spinner is fair, we need to know the probability of each outcome, which is not provided in the given information. Therefore, we cannot determine if the spinner is fair or not based on the information given. So, statement (E) is uncertain.

Therefore, the true statements about this game are (A), (C), and (D).

Learn more about probability :

https://brainly.com/question/30034780

#SPJ1

Answer:

x=4.5

Step-by-step explanation:

PR=28

PQ= 2x+5

Require

Find X

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer: 115

Step-by-step explanation: because Laura exercises 150 minuets in all and Alicia exercises 265 in all. so you subtract

265-150 and you get 115

Answer:34,000

Step-by-step explanation:

Answer:

its 34,000 because it below 5

Step-by-step explanation:

brainliest please

Answer:

Step-by-step explanation:

Given sides of rectangle:

Its perimeter is:

Answer:

\(\textsf{Perimeter}= 8x^2+12y\)

Step-by-step explanation:

A rectangle has 2 pairs of parallel, congruent sides.

The perimeter of a two-dimensional shape is the distance all the way around the outside. Therefore, the perimeter of a rectangle is twice the sum of its length and width.

Given:

Therefore:

\(\begin{aligned}\sf Perimeter & = 2(\sf width + length)\\& = 2 \left((x+4y)+(4x^2-x+2y)\right)\\& = 2(x+4y+4x^2-x+2y)\\& = 2x+8y+8x^2-2x+4y\\& = 8x^2+2x-2x+8y+4y\\& = 8x^2+12y\end{aligned}\)

The value of the composite function g(f(x)) is 1 / 3 (81x² - 216x + 144) + 4

A composite function is a function that depends on another function. In a composite function, the output of one function becomes the input.

Therefore, let's solve the function as follows;

f(x) = 1 / 3 x² + 4

g(x) = 9x - 12

The value of g(f(x)) can be found as follows:

To find g(f(x)) we have to substitute the f(x) in g(x).

Therefore,

g(f(x)) = 1 / 3 (9x - 12)² + 4

(9x - 12)(9x - 12) = 81x² - 108x - 108x + 144

(9x - 12)(9x - 12) = 81x² - 216x + 144

Therefore,

g(f(x)) = 1 / 3 (81x² - 216x + 144) + 4

learn more on composite function here: https://brainly.com/question/28291432

#SPJ1

Answer:

Decrease of 55.6%

Step-by-step explanation:

Because it clearly decreased,

9 - 4 / 9

5 / 9

55.6% decrease

Answer:\({ \left[\begin{array}{ccc}45.5\\\\\end{array}\right] }{}\\\\\end{array}\right] } ----\)

Step-by-step explanation: Hey, Basically we are going to arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

Hope this helps!

The longest amount of time that Marco could use his phone without changing the battery is given as follows:

3.3 hours.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

In 5 hours, the battery fell from 50% to 20%, hence the slope is given as follows:

-30/5 = -6% an hour.

The battery is currently at 20%, hence the time that Marco could use the phone without charging it is given as follows:

20/6 = 3.3 hours.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Caludia needs to pay 2917.6128 as a payment of compound interest capital+interest.

What is compound interest?

compound interest is interest on principal + interest and this denotes to the addition of interest to the principal amount of a loan or deposit.

Capital(p) = $6400

Rate of interest(r) = 11%

Years(n) = 3

The general formula of compound interest is \(A= p(1+\frac{r}{100}})^n\).

Now

\(A= 6400(1+\frac{11}{100}})^3\\A=6400 \times \frac{111}{100} \times \frac{111}{100} \times \frac{111}{100}\\A= 8752.8384\)

The entire amount (Capital+interest) is equal to $8752.8384.

If we take 1 year as a period then Claudia needs to pay \(\frac{8752.8384}{3}\\=2917.6128\)

Therefore, Claudia needs to pay 2917.6128 as a payment of compound interest capital+interest.

Learn more about compound interest from the given link

https://brainly.com/question/28020457

#SPJ1

Answer:

5*1/12

Step-by-step explanation:

I don't know if this is right but hopefully it is ^^"

If Tito took a loan of $10000 from a bank to be repaid within 4 years, at 12% Simple interest per annum, then, he will have to pay overall $4800 as interest to the bank over 4 years and a total payment of $14800 at the end of the 4th year to repay and close off the loan.

As per the question statement, a bank charges 12% Simple interest per annum on cash loans to its clients and Tito took a loan of $10000 from the same bank to be repaid within 4 years.

We are required to calculate the overall interest Tito has to pay to bank if he repays and closes the loan at the end of 4th year, and also to calculate the total payment required to repay and close off the loan at the end of the 4th year.

To solve this question, we need to know the formula to calculate the interest amount in case of simple interest which goes as

Interest (I) \(=(\frac{P*R*T}{100} )\)

where, "P" = Principle amount of Loan,

"R" = Rate of simple interest charged on the principle per annum, and

"T" = Time period within which, the loan is to be repaid.

Here, (P = 10000), (R = 12%) and (T = 4). Then, the overall interest Tito will have to pay at the end of 4th year  = \((\frac{10000*12*4}{100}) = (100*12*4)=(48*100)=4800\)

And total amount to be paid to repay and close of the loan at the end of 4th year will be = $[4800 + 10000] = $14800.

To learn more about Simple Interest, click on the link below.

https://brainly.com/question/25845758

#SPJ9

The y-coordinate of -3f(x-1) when x = 0 is -63

From the question, we have the following parameters that can be used in our computation:

The table of values

So, we have

-3f(x - 1)

When x = 0, we have

y = -3f(0 - 1)

This gives

y = -3f(-1)

From the table, we have

y = -3 * 21

Evaluate

y = -63

Hence, the y-coordinate is -63

Read more about exponential function at

https://brainly.com/question/2456547

#SPJ1

Answer:c, the answer is c

Step-by-step explanation:

Answer:

6,100

Step-by-step explanation:

7.83n= 47,763

Now, we can solve for n by dividing both sides by 7.83 and simplifying.

n=6100

The table that identifies points on a line with a slope of -3 and y-intercept of -10 is:

x | y

2 | -4

4 | 2

6 | 8

8 | 14

The equation is written as y = -3x + 10

for x = -2, -3(-2) - 10 = -4

for x = -4, -3(-4) - 10 =- 2

for x = 6, -3(-6) - 10 = 8

for x = 8, -3(-8) - 10 = 14

In this table,  the x-values are given in the left column and the corresponding y-values are given in the right column.

The points (-2, -4), (-4, 2), (-6, 8) and (-8, 14) lie on the line with a slope of -3 and a y-intercept of -10.

Learn more about y-intercept at

https://brainly.com/question/25722412

#SPJ1

Answer:

y=3x+6

Step-by-step explanation:

the equation of a line in

slope-intercept form

is.

xy=mx+b

Step-by-step explanation:

NOT rolling a four means out of six posssible rols you can roll a 1.2.3.5 or 6

 or      5 / 6