1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
liq [111]
3 years ago
7

Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=11x−3 and CE=12−4x. Find the length of AC.

Mathematics
1 answer:
Oxana [17]3 years ago
8 0

Answer:

AC=16 units

Step-by-step explanation:

The diagonals of a parallelogram bisect each other.  It was given that diagonals AC and BD intersect at point E.

This implies that: AE=CE.

We substitute the expression for x, we get:

11x-3=12-4x.

Group similar terms to get:

11x+4x=12+3.

15x=15.

x=1

AC = 2(12-4x)

AC=2(12-4(1))

AC=2(8)

AC=16

You might be interested in
Shade the grid and write the equivalent percent for each fraction. fraction:19/50
STatiana [176]
.38 I think this is it 
7 0
3 years ago
The Hawkins Company randomly samples 10 items from every large batch before the batch is packaged and shipped. According to the
agasfer [191]

Answer:

0.9138 = 91.38%

Step-by-step explanation:

For each item, there are only two possible outcomes. Either it is defective, or it is not. The probability of an item being defective is independent of other items. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

10 items

This means that n = 10

5 percent of the items shipped can be defective.

This means that p = 0.05

Probability that a batch that meets the contract requirements will be shipped without further inspection

Probability of 1 or fewer defects.

So

P(X \leq 1) = P(X = 0) + P(X = 1)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.05)^{0}.(0.95)^{10} = 0.5987

P(X = 1) = C_{10,1}.(0.05)^{1}.(0.95)^{9} = 0.3151

P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5987 + 0.3151 = 0.9138

So the answer is:

0.9138 = 91.38%

4 0
3 years ago
Read 2 more answers
Who likes cats? brainliest
ollegr [7]

Answer:

Me

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Vassil rounded to the nearest half to estimate the product of Five-eighths and StartFraction 8 over 9 EndFraction. How do the es
Mice21 [21]

The correct answer is option B which is the actual product is about StartFraction 1 over 18 EndFraction less than the estimate.

<h3>What are fractions?</h3>

The fraction is defined as the division of the whole part into an equal number of parts. here we have the following information Vassil rounded to the nearest half to estimate the product of Five-eighths and StartFraction 8 over 9 EndFraction.

E =  \dfrac{5}{8}\times \dfrac{8}{9} = 0.55

Thus the product of the fraction estimated in the nearest half is,

0.5×1= 0.50

Therefore the correct answer is option B which is the actual product is about StartFraction 1 over 18 EndFraction less than the estimate.

To know more about fractions follow

brainly.com/question/78672

#SPJ1

5 0
2 years ago
459 divided by 3 how to show your work on paper
melomori [17]
Bus stop method. 3 goes into 4 once. Remainer 1. Add that to the 5. Makes 15. 3 into 15 goes 5 times. No remainder. 3 goes into 9, 3 times and no remainer. So 459/3 is 153

7 0
3 years ago
Other questions:
  • What expression shows how to break apart 5×617
    10·2 answers
  • What is tbe best approximation for the circumference of a corcle with a diameter of 400 inches use 3.14 to approximate pi
    8·2 answers
  • HELP....
    14·1 answer
  • 1. describe a sequence of transformations that maps ∆ ABC to ∆ A’ B’ C’.
    6·1 answer
  • write a pair of numbers such that the value of the 7 in the first number is 1,000 times the value of the 7 in the second number,
    5·1 answer
  • What is the slope intercept form of: 0.25x+0.10y&lt;5
    14·1 answer
  • A wooden board is leaning against a building. The base of the board is 4 feet from the base of the building, and the base of the
    11·1 answer
  • A camera has a listed price of $699.98 before tax. If the sales tax rate is 9.5, find the total cost of the camera with sales ta
    10·1 answer
  • Please help"""""":"ggg​
    12·2 answers
  • PLEASE HELP !!!!!!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!