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
Sever21 [200]
3 years ago
14

Quadrilateral ABCD is a square and the length of BD is 14 cm. What is the length of AE?

Mathematics
1 answer:
tiny-mole [99]3 years ago
5 0
AE is 7cm long.

This is because E is in the centre of the square, and it would be half BD as that goes straight through the square past E.
You might be interested in
Combine like terms. What is a simpler form of the expression?<br> -3(-4y + 3) + 7y
VikaD [51]
A simpler form of this expression would be 19y-9
6 0
3 years ago
Read 2 more answers
It is given that 2(3+x)=6+2x. this is an example of the ____ property.
hoa [83]
I believe this is the distributive property.
6 0
3 years ago
Read 2 more answers
Helppp meee!!!!!!!!!!
swat32
C because 180-230 would be negative b as well as three quarters of seven
4 0
3 years ago
Jack has a rectangular patio with a length that is one foot less than twice its width. His neighbor Ron's patio has the same wid
swat32

Answer:

difference in area = 16 ft²

if you use 8 the difference in length between Jack patio and his neighbor patio will be will be 15 - 13 = 2 ft

if you use 13 the difference i length will be 25 - 18 = 7 ft

Step-by-step explanation:

Jacks rectangular patio

width = a

length = 2a - 1

area = lw

where

l = length

w = width

area = 120 ft²

a(2a - 1)

2a² - a - 120 = 0

(a - 8) (2a + 15)

a = 8 or -15/2

Ron's rectangular patio

width = a

length = a + 5

area = lw

area = 104 ft²

a (a + 5) = 104

a² + 5a -104 = 0

(a + 8)  (a - 13)

a = -8 or 13

How many square feet longer is jack patio longer than Ron's patio is the difference in their area. Therefore,

120 - 104 = 16 ft²

The value 8 or 13 can be used for a since the width a have to be the same.

if you use 8 the difference in length between Jack patio and his neighbor patio will be will be 15 - 13 = 2 ft

if you use 13 the difference i length will be 25 - 18 = 7 ft

6 0
2 years ago
In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal dist
Tcecarenko [31]

Answer:

a. 0.7291

b. 0.9968

c. 0.7259

Step-by-step explanation:

a. np and n(1-p) can be calculated as:

np=23\times 0.48\\\\=11.04\\\\n(1-p)=23(1-0.52)\\\\=11.96

#Both np and np(1-p) are greater than 5, hence, normal approximation is most appropriate:

\mu_x=11.04\\\\\sigma^2=np(1-p)=0.48\times 0.52\times 23=5.7408

#Define Y:

Y~(11.04,5.7408)

P(X\leq 12)\approx P(Y\leq 12.5)\\\\P(Z\leq \frac{(12.5-11.04)}{\sqrt{5.7408}})=\\\\=1-0.2709\\\\=0.7291

Hence, the probability of 12 or fewer is 0.8291

b. The  probability that 5 or more fish were caught.

#Using normal approximation:

P(X \geq 5) \approx P(Y \geq 4.5) = P(Z \geq\frac{ (4.5-11.04)}{\sqrt{(5.7408)}})\\\\=1-0.0032\\\\=0.9968

Hence, the probability of catching 5+ is 0.9968

c. The probability of between 5 and 12 is calculated as;

-From b above P(X\geq 5)=0.9968 and a ,P(X\leq 12)=0.7291

P(5\leq X\leq 120\approx P(4.5\leq Y\leq  12.5)\\\\=0.7291-(1-0.9968)\\\\=0.7259

Hence, the probability of between 5 and 12 is 0.7259

4 0
3 years ago
Other questions:
  • Of the CP of 15 articles equals to the SP of 12 articles, find the gain percent.<br>an<br>ple 4:​
    9·1 answer
  • Can you give me a dividing problem that has a quotient of 3 and a remainder of 28
    8·1 answer
  • Juan is making birdhouses
    13·1 answer
  • Why do u think each letter in a polygon's name can be used only once
    9·1 answer
  • How do you simplify a fraction?
    11·1 answer
  • Find the 1st- 4th nTH term and then find the 10th term, rule is 5-2n
    5·1 answer
  • When you calculate the sample size for a proportion, you use an estimate for the population proportion; namely . A conservative
    15·1 answer
  • I need help solving this question. A large company is considering installing charging stations for electric cars in their compan
    15·1 answer
  • 2.) Simplify:<br> 10x + 6y +4x =<br> x(14) + 6y = 14x +6y
    14·1 answer
  • Gustavo pays $12.64 to download 8 songs. Each song costs him the same amount. Estimate the amount he pays to download each song.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!