In this triangle, D is the midpoint of AB and E is the midpoint of BCIf AC = 36 what is the length of DE?
Answers
Answer:
A. 18
Step-by-step explanation:
Recall: the Mid-segment Theorem states that the length of the mid-segment theorem of a triangle is half the length of its third side.
DE = ½(AC) (Triangle Mid-segment Theorem)
AC = 36 (given)
Plug in the value
DE = ½(36)
DE = 18
Related Questions
1. In the spring of 2017, the Consumer Reports National Research Center conducted a survey of 1007 adults to learn about their major health-care concerns. The survey results showed that 574 of the respondents lack confidence they will be able to afford health insurance in the future. Develop a 90% confidence interval for the population proportion of adults who lack confidence they will be able to afford health insurance in the future.
Answers
Answer:
The correct answer is "1668". A further solution is provided below.
Step-by-step explanation:
According to the question,
Estimated proportion,
[tex]\hat{p} = \frac{574}{1007}[/tex]
[tex]=0.57[/tex]
Margin of error,
E = 0.02
Level of confidence,
= 90%
= 0.90
Critical value,
[tex]Z_{0.10}=1.65[/tex]
Now,
⇒ [tex]0.02=1.65\times \sqrt{\frac{0.57\times 0.43}{n} }[/tex]
[tex]0.0004=2.7225\times \frac{0.2451}{n}[/tex]
[tex]n=\frac{2.7225\times 0.2451}{0.0004}[/tex]
[tex]=1668.21[/tex]
or,
[tex]n \simeq 1668[/tex]
Please tell me the answer I have no idea how to do this
Answers
Answer:
60 degrees
Step-by-step explanation:
So we see there's a 90 degree angle and a 150 degree larger angle including it.
So to find out the part that the 150 degree large angle that's not a part of the 90 angle we would do: 150 - 90, and we get 60.
So the bottom right angle is 60 degrees.
Now since we have a straight line from the left to right horizontally, we know that one side has to equal 180 degrees. On the side which the x is on, we already have 2 angles: 90 and 30. 90 + 30 = 120.
Since a straight line equals 180, x + 120 has to equal 180.
So now we do simple algebra.
x + 120 = 180
x = 180 - 120
x = 60
So x is equal to 60 degrees.
URGENT!!! Picture included
Answers
The explicit rule for a sequence and one of the specific terms is given. Find the position of the given term.
f(n) = 3.75n − 27.5; 25
Step 1 out of 2:
You know that the value of f(n) is 25. Substitute 25 for f(n) in f(n) = 3.75n − 27.5.
25 = 3.75n − 27.5
= 3.75n
Answers
Answer:
14
Step-by-step explanation:
Given :
f(n) = 3.75n − 27.5
f(n) = 25
Put f(n) = 25 in the equation :
25 = 3.75n - 27.5
25 + 27.5 = 3.75n
52.5 = 3.75n
52.5 / 3 75 = n
14 = n
The position of the term is 14
he parent function f(x) = x3 is represented by graph A. Graph A is transformed to get graph B and graph C. Write the functions represented by graph B and graph C.
Graph B represents the function g(x) =
.
Graph C represents the function h(x) =
.
Answers
Answer is graph b I believe
Graph b
If Joanne can paint a room in 3 hours and her sister Angela can paint the same room in 4 hours, how long (in h) would it take Joanne and Angela to paint the room working together? Round to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
If J can paint a room in 3 hours, in 1 hour she gets [tex]\frac{1}{3}[/tex] of the job done.
If A can paint a room in 4 hours, in 1 hour she gets [tex]\frac{1}{4}[/tex] of the job done. We need to find out how long it takes them if they paint together. The equation for this is:
[tex]\frac{1}{3}+\frac{1}{4}=\frac{1}{x}[/tex] where x is the number of hours it takes them to get the job done together. Multiply everything through by 12x to get
4x + 3x = 12 so
7x = 12 and
x = 1.7 hours to get the room painted together.
Find the value for x
Answers
Answer:
[tex]180 - 2x + 180 - 4x + x = 180 \\ 360 - 5x = 180 \\ 180 = 5x \\ x = 36[/tex]
Can someone please explain to me how to solve the problem? I need to know how to complete it more than just the answer. Thanks!
A plane is flying at an altitude of 13,000 ft, where the temperature is -2 degrees F. The nearby airport, at an altitude of 2,000ft, is reporting precipitation. If the temperature increases 2.1 degrees F for every 1000-ft decrease in altitude, will the precipitation at the airport be rain or snow? Assume that rain changes to snow at 32 degrees F.
Is the precipitation at the airport rain or snow?
Answers
9514 1404 393
Answer:
snow
Step-by-step explanation:
The relationship between temperature and altitude is given as ...
T = -2 +((13000 -a)/1000)×2.1
We can put a=2000 into this equation to find the temperature at that altitude.
T = -2 +((13000 -2000)/1000)×2.1 = -2 +11(2.1) = -2 +23.1 = 21.1
The airport temperature of 21.1 °F is below 32 °F, so we expect the precipitation to be snow.
Please help! Variables!!
Answers
Answer:
-x^4, and (2√x)/x
Step-by-step explanation:
4. [tex]- \sqrt{ x^{8} } = - \sqrt{x^{4} *x^{4} } = -x^{4}[/tex]
x^8 = x*x*x*x*x*x*x*x = (x*x*x*x)(x*x*x*x) = (x^4)(x^4)
5.
[tex]\sqrt{\frac{4}{x} } = \frac{\sqrt{4} }{\sqrt{x} } = \frac{2}{\sqrt{x} } \\\\\\\frac{2}{\sqrt{x} } * \frac{\sqrt{x} }{\sqrt{x} } = \frac{2\sqrt{x} }{x}[/tex]
15. Mark Twain one observed that the lower Mississippi River is very crooked and that over the years, as the bends and turns straighten out, the river gets shorter and shorter. Using numerical data about the length of the lower part of the river, he noticed that in the year 1700 the river was more than 1200 miles long, yet by the year 1875 it was only 973 miles long. Twain concluded that any person “can see that 742 years from now the lower Mississippi will be only a mile and three-quarters lone.” What is wrong with his inductive reasoning?
Answers
Answer:
Step-by-step explanation:
I'm sure he was making a joke at the expense of people who rely on mathematics rather than common sense. It is funny, but then Twain was a remarkably funny author..
The problem is that the comparison is apt using some sort of proportion, but it is absurd to think that the land holding the river would also shrink a proportional amount.
The river reached a minimum (presumably) in 1875 by cutting out all the loops that were there in 1700. The Mississippi was then a straight line from it's beginning to its delta on the gulf of Mexico. It could not get any shorter. Still, Twain managed to get laughs with his whimsical humor.
Thanks for posting. This made my evening.
What is the sum?
8+(-12)
-20
4
ОО
20
Answers
19. Students at a certain school can enroll in one elective course: painting, theater, choir, or band. This two-way frequency
table gives the number of male and female students enrolled in each class.
Male Female Total
Painting 17 16 33
Theater 15
18
33
Choir 21 25 46
Band 28
25
53
Total 81
84
165
Determine the conditional relative frequency that a student in the sample is enrolled in painting given that the student is
female.
O A. 19.0%
O B. 48.5%
O C. 9.7%
O D. 19.8%
Answers
Answer:
19.0%
Step-by-step explanation:
The probability that a student in the sample data is enrolled in painting Given that the student is female is a conditional probability and can be defined as :
Let,
F = Female ; P = painting
P(Painting Given female) = P(P|F) = (PnF) / F
From the table :
(PnF) = 16
F = 84
Hence,
P(P|F) = 16 / 84 = 0.19047 = 0.19047 * 100%
P(P|F) = 19.0%
This set of ordered pairs defines a function.
{(-49,7), (-56,8), (-63,9), (-70,10)}
Which table represents the inverse of the function defined by the ordered pairs?
Answers
Answer:
option c
Step-by-step explanation:
becoz for inverse the number that is negative changes into positive like wise for the positive number it changes into negative , just opposites
A
(8x - 5) in.
B
The perimeter of parallelogram ABCD is 46 inches.
What is DA?
03 in
O 4 in
8 in.
O 19 in
D
С
(3x + 10) in
[Not drawn to scale]
Answers
a Given: △CDE, DK ⊥ CE ,CD=DE Area of △CDE = 29cm2 m∠CDE=31° Find: DK
Answers
Answer:
DK = 10.23 units (approx)
Step-by-step explanation:
(DK * (CK + KE))/2 = 29
DK * CK = 29
180 - 31 = 149
149/2 = 74.5 --> degree of other angles
tan 74.5 = DK/CK
CK * tan 74.5 = DK
CK * CK * tan 74.5 = 29
CK = 2.83591462
2.83591462 * tan 74.5 = DK
DK = 10.22597776
So DK is approximately 10.23 units.
Hope this helps!
a student estimates the length of a room to be 20 feet. The actual length is 20.25 feet. What is the percent error?
Answers
Answer:
Percent error=1.23%
Step-by-step explanation:
We are given that
Estimate length of room=20 feet
Actual length of room=20.25 feet
We have to find the percent error.
To find the percent error we will find the difference between the estimate length and actual length of room.
Difference=Actual length of room-Estimate length of room
Difference=20.25-20
Difference=0.25 feet
Now,
Percent error=[tex]\frac{Difference}{actual\;length}\times 100[/tex]
Percent error=[tex]\frac{0.25}{20.25}\times 100[/tex]
Percent error=1.23%
Need a little help with this one
Answers
0,5, 11, 15, 26, 45, 46, 46, 46, 52, 60, 71, 84, 87
What do the chi-square test for independence, the Pearson correlation, and simple linear regressions all have in common
Answers
Answer:
They all test relationship when it involves two variables
Explanation:
All of the statistical methods listed above all measure the relationship between two variables.
The Chi Square test tests the relationship between two nominal/categorical variable groups.
The Pearson correlation test tests relationship between two continuous variables using the Pearson correlation coefficient to determine statistical relationship between them.
The simple linear regression measures relationship between two variables: dependent/response variable and independent/explanatory variable, to see if a relationship exists between by way of influence of the independent variable on the dependent variable.
Suppose you choose a marble from a bag containing 3 red marbles, 5 white marbles, and 4 blue
marbles. You return the first marble to the bag and then choose again. Find P (red and blue).
Answers
Answer:
P(red and blue) = 1/12
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability of independent events:
If two events, A and B, are independent, the probability of both happening is the multiplication of the probabilities of each event happening, that is:
[tex]P(A \cap B) = P(A)P(B)[/tex]
P (red and blue).
Probability of choosing a red marble, then a blue marble. The marbles are replaced, so the trials are independent.
Probability of a red marble:
3 out of 3 + 5 + 4 = 12. So
[tex]P(A) = \frac{3}{12} = \frac{1}{4}[/tex]
Probability of a blue marble:
4 out of 12, so:
[tex]P(B) = \frac{4}{12} = \frac{1}{3}[/tex]
P (red and blue).
[tex]P(A \cap B) = P(A)P(B) = \frac{1}{4} \times \frac{1}{3} = \frac{1}{4*3} = \frac{1}{12}[/tex]
So
P(red and blue) = 1/12
Please help me out with these questions :
Answers
Answer:
Step-by-step explanation:
1. 3/7 x = 12
3x = 84
x = 28
2. 3x+ 6 = 39
3x = 33
x = 11
3. 1/3 x - 3/4 x = 15
9x - 4x = 180
x = 36
4. 1/4 x = x -21
3/4 x = 21
3x = 84
x=28
5. 86-36 = 50
50/2
25
X is a normally distributed random variable with a mean of 22 and a standard deviation of 5. The probability that x is less than 9.7 is:_________
a. 0.0069
b. 0.000
c. 0.4931
d. 0.9931
Answers
Answer:
0.0069
Step-by-step explanation:
According to the Question,
Given That, X is a normally distributed random variable with a mean of 22 and a standard deviation of 5. The probability that x is less than 9.7We have, μ=22 , σ= 5 , P(X<9.7)=Area to the left of 9.7.
Z = (x-μ)/σ
Z = (9.7-22) / 5 ⇒ -2.46
Thus,
P(X<9.7)=P(Z < -2.46) ⇒ 0.0069 (From z-table)
11 Emilio makes metal fences.
He is making a fence using this design.
1.44 m
DO NOT WRITE IN THIS AREA
1.8 m
.
The fence will need
3 horizontal metal pieces of length 1.8m
2 tall metal pieces of length 1.44 m
5 medium metal pieces
6 short metal pieces as shown on the diagram.
The heights of the tall, medium and short metal pieces are in the ratio 9:8:7
.
How many metres of metal in total does Emilio need to make the fence?
Answers
Answer:
Step-by-step explanation: 7 3 13 31
3 × 1.8 long pieces Calculate the ratios
2 × 1.44 9 tall vertical piece 1.44 / 9 = x / 9 x = 1.44
5 × ___ 8 medium vertical pieces 1.44 / 9 = x / 8 x = 1.28
6 × ___ 7 short vertical pieces 1.44 / 9 = x / 7 x = 1.12
3 × 1.8 long pieces
2 × 1.44 9 tall vertical piece 1.44 / 9 = x / 9 x = 1.44
5 × 1.28 8 medium vertical pieces 1.44 / 9 = x / 8 x = 1.28
6 × 1.12 7 short vertical pieces 1.44 / 9 = x / 7 x = 1.12
3 × 1.8 long pieces = 5.4 m
2 × 1.44 9 tall vertical piece = 2.88 m
5 × 1.28 8 medium vertical pieces = 6.4 m
6 × 1.12 7 short vertical pieces = 6.72 m
Total = 21.4 m
I need help with this x/4 - 3x/8 = 5
Answers
Answer:
x=−40
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x4−3x8=5
14x+−38x=5
(14x+−38x)=5(Combine Like Terms)
−18x=5
−18x=5
Step 2: Multiply both sides by 8/(-1).
(8−1)*(−18x)=(8−1)*(5)
x=−40
Answer:
x=−40
Hello!
x/4 - 3x/8 = 5
2x - 3x = 40
-x = 40
x = -40
Good luck! :)
Find the numerical value of each expression. (Round your answers to five decimal places.) (a) sinh(ln(5)) (b) sinh(5)
Answers
sinh(ln(4)) = (exp(ln(4)) - exp(-ln(4)))/2 = (4 - 1/4)/2 = 15/8 = 1.875
sinh(4) = (exp(4) - exp(-4))/2 ≈ 27.28992
Value of the expression in which each variable was swapped out with a number from its corresponding domain sinh (l5)
How do you determine an expression's numerical value?sinh (5)
=sinh(1.6094) =2.39990 rad
=sinh(1.6094) =2.3
By doing the following, you may determine the numerical value of an algebraic expression: Replace each variable with the specified number. Then, enter your score in your team's table.
Analyze expressions that are linear.Multi-variable expressions should be evaluated.Analyze expressions that are not linear.Value of the expression in which each variable was swapped out with a number from its corresponding domain. In the case of a number with only one digit, referring to the numerical value associated with a digit by its "value" is a convenient shorthand.
To learn more about Value of the expression refer to:
https://brainly.com/question/13961297
#SPJ2
In a recent study of incomes in Wake county in North Carolina, it was found that the distribution of family incomes is skewed to the right (i.e., it has a long right tail). What can we say about the relationship between mean and median.
Answers
Answer:
The mean is to the right of the median
Step-by-step explanation:
Given
Skewed right distribution
Required
Relationship between the mean and the median
The question would be better answered if there are options available. Since there are none, I will provide a general answer/explanation.
For a distribution that is right skewed, the mean is always on the right side of the median.
Claire went to the animal shelter and noticed that 6/8 of the animals were rabbits. Out of all the rabbits 4/6 were female. What fraction of the animals were female rabbits?
SHOW ALL WORK
Answers
Answer:
1/2 or 0.5
Step-by-step explanation:
6/8 x 4/6 = 24/48
Answer:
1/2
Step-by-step explanation:
Ryan spent 1/3 of his monthly salary for rent and 1/7 of his monthly salary for his utility bill. If $759 was left, what was his monthly salary?
Answers
Step-by-step explanation:
Given Information :Ryan spent 1/3 of his monthly salary for rent and 1/7 of his monthly salary for his utility bill. Remaining money = $759To calculate :His monthly salary.Calculation :Let us assume his monthly salary as x. According to the question,
➝ Money spent on rent + Money spent for utility bill + Remaining money = His salary
[tex]\longrightarrow\sf {\dfrac{1}{3}x + \dfrac{1}{7}x + 759 = x} \\ [/tex]
[tex]\longrightarrow\sf {\dfrac{7x + 3x + 15939}{21}= x} \\ [/tex]
[tex]\longrightarrow\sf {\dfrac{10x+ 15939}{21}= x} \\ [/tex]
[tex]\longrightarrow\sf {10x+ 15939= 21x} \\ [/tex]
[tex]\longrightarrow\sf {15939= 21x - 10x} \\ [/tex]
[tex]\longrightarrow\sf {15939= 11x} \\ [/tex]
[tex]\longrightarrow\sf {\cancel{\dfrac{15939}{11}}= x} \\ [/tex]
[tex]\longrightarrow\underline{\boxed{\bf {1449= x}}} \\ [/tex]
Therefore, his monthly income is $1449.
divide 18/7 by 8/26. Pls give the correct ans
Answers
Answer:
8.35714285714
Step-by-step explanation:
Hope it help you
Explanation: Checked with calculator!
Solve the inequality and write the solution set using both set-builder notation and interval notation. -3a-15≤-2a+6
Answers
Answer:
[tex]\{a[/tex] ∈ [tex]R\ -21 \le a \le \infty \}[/tex] --- set builder
[tex][-21,\infty)[/tex] --- interval notation
Step-by-step explanation:
Given
[tex]-3a - 15 \le -2a + 6[/tex]
Required
Solve
Collect like terms
[tex]-3a + 2a \le 15 + 6[/tex]
[tex]-a \le 21[/tex]
Divide by -1
[tex]a \ge - 21[/tex]
Rewrite as:
[tex]-21 \le a[/tex]
Using set builder
[tex]\{a[/tex] ∈ [tex]R\ -21 \le a \le \infty \}[/tex]
Using interval notation, we have:
[tex][-21,\infty)[/tex]
Which ordered pair makes both inequalities true?
AN
3
NO
y> -2x + 3
Ysx-2
ist -3 -2 -1
Answers
Answer:
(3, 0)
Step-by-step explanation:
Given the inequality y > -2x + 3 and y ≤ x - 2
The graph of the inequalities are plotted using the geogebra graphing online calculator.
The portion of the graph that is shaded with dark blue, represents the portion that supports the equation.
All the ordered pair points given in the question are also labelled in the graph.
From the graph we can see that only point (3, 0) falls in the area that supports the equation. Hence (3, 0) makes both inequalities true.
