Name the following segment or point.
Given:
L, M, N are midpoints
orthocenter of triangle ABC
Answers
Answer:
P
Step-by-step explanation:
It's where the altitudes meet
Related Questions
20,30,13,10,14,10,10,?,?,?
Answers
Answer:
10,13,14,20,30.............
An angle measures 36° more than the measure of its complementary angle. What is the measure of each angle?
Answers
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:
If path has 56 marbles and he gave Sandra 34 how many marbles will he have left?
Answers
Answer:
22
Step-by-step explanation:
You just subtract them
56-34
= 22
Therefore your answer is 22
I need to solve this, showing work would be appreciated!
Answers
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!
The diameter of a circle has endpoints P(-12, -4) and Q(6, 12).
Write an equation for the circle. Be sure to show and explain all work.
Answers
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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
A 40-foot ladder is leaning against a building and forms a 29.32° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth.
45.88 feet
34.88 feet
22.47 feet
19.59 feet
Answers
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.
What is a Right Triangle?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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Rebecca buys a new couch for $1,200. She plans on making a monthly payment of $75 on the balance, starting the month
after she buys the couch. Which recursive function models the amount of money Rebecca still has to pay for the couch?
Answers
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
Learn more about recursive functions here;
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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:
State if the scenario involves a permutation or a combination. Then find the number of possibilities.
A team of 15 basketball players needs to choose two players to refill the water cooler.
Permutation/Combination:
Answer:
Answers
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
which of the following illustrates commutative property of addition? 17+4=4+17
Answers
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Answer:
17 +4 = 4 +17
Step-by-step explanation:
The only expression shown here illustrates that property.
Evaluate S8 for the series 1+3+6+9+12.........
Answers
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]
The most frequently occuring value in a set is called the
Answers
Answer:
Step-by-step explanation:
The mode is the correct answer
A panel of 10 interviewers was to interview two candidates A and B to decide who was suitable for a job. 7 said A was suitable, 5 said B was suitable while 2 said neither A nor B was suitable. (i) How many said both A and B were suitable. (ii) How many said A alone was suitable.
Answers
Answer:
(i) 4 interviewers
(ii) 3 interviewers
PLEASE HELP!!!
The following data are the distance from the workplace ( in miles) for the 5 employees of a small business.
10,17,12,14,12
Assuming that these distance constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places.
Answers
Answer:
stdev= 2.366431913
Step-by-step explanation:
10 stdev= 2.366431913
17
12
14
12
X < -3 graph line
How do you graph
X < -3
Is it A,B,C,D ?
Answers
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
An article reported that, in a study of a particular wafer inspection process, 356 dies were examined by an inspection probe and 244 of these passed the probe. Assuming a stable process, calculate a 95% (two-sided) confidence interval for the proportion of all dies that pass the probe. (Round your answers to three decimal places.)
Answers
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).
In the parallelogram below, solve for x.
D (9x + 5)
E
G
F (13 - 43y
Answers
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]
State if the scenario involves a permutation or a combination. Then find the number of possibilities.
The student body of 290 students wants to elect a president and vice president.
Permutation/Combination:
Answer:
Answers
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
compare the following rational number
[tex] \frac{4}{5} and \frac{7}{5} [/tex]
Answers
Answer:
7/5 is greater than 4/5
Answer:
[tex]\frac{4}{5}[/tex] < [tex]\frac{7}{5}[/tex]
Find the slope of the line that goes through the
(2,6) and (-1, -6)
Answers
Helen’s father’s car can travel an average of 18.5 miles on 1 gallon of gasoline. Gas at the local station costs $3.79 per gallon.
a) Helen’s mom took the car to the gas station and hand the cashier a $10 bill. How much gas could she buy? Round your answer to the nearest hundredth of a gallon.
Answers
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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
In a large midwestern university (the class of entering freshmen is 6000 or more students), an SRS of 100 entering freshmen in 1999 found that 20 finished in the bottom third of their high school class. Admission standards at the university were tightened in 2000. In 2001, an SRS of 100 entering freshmen found that 10 finished in the bottom third of their high school class. Let p1 and p2 be the proportion of all entering freshmen in 1999 and 2001, respectively, who graduated in the bottom third of their high school class.
Required:
Is there evidence that the proportion of freshmen who graduated in the bottom third of their high school class in 2001 has been reduced, as a result of the tougher admission standards adopted in 2000, compared with the proportion in 1999
Answers
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.
Find the length of the arc.
A. 539π/12 km
B. 9π/3 km
C. 9π/2 km
D. 18π km
Answers
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.
What is the arc of the circle?
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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Simplify 4(a + 1) + 5(a + 2).
Answers
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
What happens to the median of the data set
{2, 4, 5, 6, 8, 2, 5, 6} if the number 10 is added to the data set?
A. The median does not change.
B. The median increases by 2.
C. The median decreases by 0.25.
D. The median increases by 1.
Answers
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:
54
What value of b will cause the system to have an
infinite number of solutions?
y = 6x - b
-3х+ 1/2y=-3
b=
Answers
Answer:
Does the answer help you?
. Parul purchased 9 bottles each containing 750 ml of orange juice. What is the total quantity of orange juice she purchased? If you give me correct answer I will make u brainlist and also give 5 rates and thanks
answer me
Answers
hi
9x750 = 630 +450= 1080 ml
so 1.08 liter.
Which is the best way to accumulate wealth: a) Save your money by putting it into a savings account at the bank. b) Invest as much money as you can, at the end of each year, (A lump sum) into some sort of long term investment vehicle. c) Contribute to a monthly annuity as early as possible for the long term. d) Invest monthly into an investment vehicle that pays the minimum return.
Choose a, b, c, or d and state four reasons why.
Answers
Answer:
save your money by putting it into a savings account at the bank
Define business.Write the type of business
Answers
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.
Reason Can you subtract a positive integer from a positive integer
and get a negive result? Explain your answer.
Answers
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.
Ahmad Conan deposited 60 quarters, 53 dimes, 44 nickels, and 50 pennies into his checking account. The total of the checks he deposited equaled $17 less than twice his total deposit. If Ahmad received 2 twenty-dollar bills in cash, what was his total deposit?
Answers
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$
