Name the following segment or point.
Given:
L, M, N are midpoints
orthocenter of triangle ABC

Answer:

Since they are supplementary, they add up to 180 degrees. Since one is 38 degrees more than the other, you can use the equation x + (x+36) = 180 to find both angles

Step-by-step explanation:

9514 1404 393

Answer:

  17 +4 = 4 +17

Step-by-step explanation:

The only expression shown here illustrates that property.

9514 1404 393

Answer:

  2.64 gallons

Step-by-step explanation:

Each gallon costs $3.79, so the number of gallons that can be bought with $10 is ...

  $10/($3.79/gal) = (10/3.79) gal ≈ 2.6385 gal ≈ 2.64 gallons

Answer:

40 $

Step-by-step explanation:

He first deposited 60 quarters=15$, 53 dimes=5.3$, 44 nickels=2.2$, and 50 pennies=0.5$ Total 23$

23$+17$=2*(total deposit)

so total deposit = 20

"If Ahmad received 2 twenty-dollar bills in cash" - does not mean that he deposited those 40$

so total deposit = 20$

Answer:

Step-by-step explanation:

The mode is the correct answer

Answer:

A. The median does not change.

Step-by-step explanation:

Original data set,

Put the numbers in order from smallest to largest

2,2, 4, 5, 5, 6,6, 8  

Median is the middle number

2,2, 4, 5,     5, 6,6, 8  

It is between the two 5's

(5+5)/2 = 10/2 = 5

New data set

Put the numbers in order from smallest to largest

2,2, 4, 5, 5, 6,6, 8,10  

Median is the middle number

2,2, 4, 5,     5,    6,6, 8,10  

The middle number is 5

Answer:

The answer is A

Step-by-step explanation:

Answer:

stdev= 2.366431913

Step-by-step explanation:

10  stdev= 2.366431913

17  

12  

14  

12  

Answer:

e) cannot be determined

Step-by-step explanation:

there is no way you can find out angle 2 if there is no angle 1 first

hope this helps!

Answer:

A company or an entrepreneurial entity engaged in commercial, industrial, or professional activity is referred to as a business. A limited liability company (LLC), a sole proprietorship, a corporation, and a partnership are examples of different types of businesses.

Answer:

10,13,14,20,30.............

Answer:

b because it is I found out cus I took test

The length of the arc 9π/2 km.

The answer is option C.9π/2 km.

The arc period of a circle can be calculated with the radius and relevant perspective using the arc period method.

  ⇒angle= arc/radius

     ⇒  135°=arc/6km

     ⇒ arc =135°*6km

     ⇒arc=135°*π/180° * 6km

    ⇒arc = 9π/2 km

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Answer:

(i) 4 interviewers

(ii) 3 interviewers

Answer: [tex]9a+14[/tex]

Step-by-step explanation:

Simplify: [tex]4(a+1)+5(a+2)[/tex]

Step 1. Distribute 4 into a and 1. By distributing you would get 4a and 4.

[tex]4*a=4a. \\4*1=4[/tex]

Step 2. Plug 4a+4 back into the remaining equation, which can be viewed below:

[tex]4a+4+5(a+2)[/tex]

Step 3. Distribute, [tex]5(a+2)[/tex] again. Same principle as what you did previously. You should get 5a and 10.

[tex]5*a=5a.\\5*2=10.[/tex]

Step 4. Plug 5a+10 back into the leftover equation, which is as follows.

[tex]4a+4+5a+10[/tex]

Step 5. Combine like terms. Which is broken down below,

[tex]4a+5a=9a.\\4+10=14.[/tex]

Once you're done combining like terms, you'll get the simplified answer which is: [tex]9a+14[/tex]

Answer:

9a +14

Step-by-step explanation:

4(a + 1) + 5(a + 2)

Distribute

4a+4  +5a+10

Combine like terms

4a+5a  +4+10

9a +14

Answer:

Does the answer help you?

Answer:

Permutation. ; 83810 ways

Step-by-step explanation:

Permutation and combination methods refers to mathematical solution to finding the number of ways of making selection for a group of objects.

Usually, selection process whereby the order of selection does not matter are being treated using permutation, while those which takes the order of selection into cognizance are calculated using combination.

Here, selecting 2 members (president and vice president) from 290 ; since order of arrangement does not matter, we use permutation ;

Recall :

nPr = n! ÷ (n - r)!

Hence,

290P2 = 290! ÷ (290 - 2)!

290P2 = 290! ÷ 288!

290P2 = (290 * 289) = 83810 ways

Answer:

save your money by putting it into a savings account at the bank

9514 1404 393

Answer:

  (x +3)² +(y -4)² = 145

Step-by-step explanation:

The center of the circle is the midpoint of the given segment PQ. If we call that point A, then ...

  A = (P +Q)/2

  A = ((-12, -4) +(6, 12))/2 = (-12+6, -4+12)/2 = (-6, 8)/2

  A = (-3, 4)

The equation of the circle for some radius r is ...

  (x -(-3))² +(y -4)² = r² . . . . . . where (-3, 4) is the center of the circle

The value of r² can be found by substituting either of the points on the circle. If we use Q, then we have ...

  (6 +3)² +(12 -4)² = r² = 9² +8²

  r² = 81 +64 = 145

Then the equation of the circle is ...

  (x +3)² +(y -4)² = 145

Answer:

The 95% confidence interval for the proportion of all dies that pass the probe is (0.637, 0.733).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

356 dies were examined by an inspection probe and 244 of these passed the probe.

This means that [tex]n = 356, \pi = \frac{244}{356} = 0.685[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].  

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.685 - 1.96\sqrt{\frac{0.685*0.315}{356}} = 0.637[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.685 + 1.96\sqrt{\frac{0.685*0.315}{356}} = 0.733[/tex]

The 95% confidence interval for the proportion of all dies that pass the probe is (0.637, 0.733).

hi

9x750 = 630 +450= 1080 ml

so 1.08 liter.

Answer:

Option B

Step-by-step explanation:

x<-3 means the values of x will be less than -3, do the dot will be blank and towards the left side of -3

Answer:

Permutation ; 210 ways

Step-by-step explanation:

Permutation and combination methods refers to mathematical solution to finding the number of ways of making selection for a group of objects.

Usually, selection process whereby the order of selection does not matter are being treated using permutation, while those which takes the order of selection into cognizance are calculated using combination.

Here, selecting 2 players from 15 ; since order does not matter, we use permutation ;

Recall :

nPr = n! ÷ (n - r)!

Hence,

15P2 = 15! ÷ (15 - 2)!

15P2 = 15! ÷ 13!

15P2 = (15 * 14) = 210 ways

Answer:

7/5 is greater than 4/5

Answer:

[tex]\frac{4}{5}[/tex]  <  [tex]\frac{7}{5}[/tex]

Answer:

[tex]x = 12[/tex]

Step-by-step explanation:

Given

[tex]\angle D = 9x + 5[/tex]

[tex]\angle F = 13x -43[/tex]

Required

Find x

To find x, we make use of:

[tex]\angle D =\angle F[/tex] --- opposite angles of a parallelogram

So, we have:

[tex]9x + 5 =13x -43[/tex]

Collect like terms

[tex]9x - 13x = -5-43[/tex]

[tex]-4x = -48[/tex]

Divide by -4

[tex]x = 12[/tex]

Answer:

S8 is 64

Step-by-step explanation:

[tex]{ \boxed{ \bf{S_{n} = \frac{n}{2} [2a + (n - 1)d]}}}[/tex]

n is number of terms; n = 8

a is the first term; a = 1

d is the common difference: d = 3-1; d = 2

[tex]{ \sf{S_{8} = \frac{8}{2}[(2 \times 1) + (8 - 1) \times 2 ]}} \\ \\ { \sf{{S_{8}} = 4(2 + 14)}} \\ { \sf{S_{8}}} = 4 \times 16 \\ { \sf{S_{8}}} = 64[/tex]

Answer:

34.88

Step-by-step explanation:

I took the test

The distance between the building and the ladder is 34.88 foot, the correct option is B.

A triangle in which one of the angle measure is equal to 90 degree is called a right triangle.

The ladder forms a right triangle with the building and the ground,

The length of the triangle is 40 foot

The angle made by the ladder is 29.32 degree

By using Trigonometric Ratios

cos 29.32 = Base /  Hypotenuse

cos 29.32 = Base / 40

Base is the distance between the building and the ladder.

Base = 34.88 foot

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Answer:

The p-value of the test is 0.0228, which is less than the standard significance level of 0.05, which means that there is evidence that the proportion of freshmen who graduated in the bottom third of their high school class in 2001 has been reduced.

Step-by-step explanation:

Before solving this question, we need to understand the central limit theorem and subtraction of normal variables.

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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

1999:

20 out of 100 in the bottom third, so:

[tex]p_1 = \frac{20}{100} = 0.2[/tex]

[tex]s_1 = \sqrt{\frac{0.2*0.8}{100}} = 0.04[/tex]

2001:

10 out of 100 in the bottom third, so:

[tex]p_2 = \frac{10}{100} = 0.1[/tex]

[tex]s_2 = \sqrt{\frac{0.1*0.9}{100}} = 0.03[/tex]

Test if proportion of freshmen who graduated in the bottom third of their high school class in 2001 has been reduced.

At the null hypothesis, we test if the proportion is still the same, that is, the subtraction of the proportions in 1999 and 2001 is 0, so:

[tex]H_0: p_1 - p_2 = 0[/tex]

At the alternative hypothesis, we test if the proportion has been reduced, that is, the subtraction of the proportion in 1999 by the proportion in 2001 is positive. So:

[tex]H_1: p_1 - p_2 > 0[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, and s is the standard error.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

From the two samples:

[tex]X = p_1 - p_2 = 0.2 - 0.1 = 0.1[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.04^2 + 0.03^2} = 0.05[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{0.1 - 0}{0.05}[/tex]

[tex]z = 2[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a difference of at least 0.1, which is the p-value of z = 2.

Looking at the z-table, the p-value of z = 2 is 0.9772.

1 - 0.9772 = 0.0228.

The p-value of the test is 0.0228, which is less than the standard significance level of 0.05, which means that there is evidence that the proportion of freshmen who graduated in the bottom third of their high school class in 2001 has been reduced.

Answer:

22

Step-by-step explanation:

You just subtract them

56-34

= 22

The recursive function is A(t + 1) = A(t) - 75

Where;

A(t) = 1,200 - 75×t

The known parameter are;

The amount Rebecca buys the new couch = $1,200

The amount she plans to make as monthly payment = $75

The time she plans to start paying = The month after she buys the couch

Strategy;

Define a recursive function that models the amount of money Rebecca still has to pay

Definition

A recursive function is one which has its own process as an input in the process of its implementation

A recursive function that models the amount of money Rebecca still has to pay for the couch is found as follows;

The amount left for her to pay in the present month = The amount left to pay in the previous month - $75

Let A(t + 1) represent the amount left for her to pay in the present month and let A(t) represent the amount left to pay in the previous month, we get;

A(t) = 1,200 - 75×t

A(t + 1) = 1,200 - 75×t - 75 = A(t) - 75

The recursive function is A(t + 1) = A(t) - 75

The function is recursive because, the function, A(t), is called in as an input to the execution of the function

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Answer:

f(1) = 1,200

f(n) = f(n-1) -75 for n > 2

Step-by-step explanation:

Since the initial loan amount is $1,200, f(1) =1200.

And since $75 is deducted from the balance each month starting with n >2 , the common difference, d, is  -75 .

Use the general recursive function for an arithmetic sequence,f(n)= f (n - 1 ) +d , for n > 2 to write the recursive function models Rebecca’s situation:

Answer:

No

Step-by-step explanation:

No matter the situation, when you multiply a negative by a negativeyou get a positive and a positive by a positive you get a positive. but if its two different like a negative and a positive then its NEGITIVE.

let's say you have 23 and you're multiplying by 2.

It's always increasing so it doesnt ever reach the negitive numbers.