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
MariettaO [177]
3 years ago
12

Write 7.264 51 correct to 3 decimal places

Mathematics
2 answers:
melamori03 [73]3 years ago
8 0

Answer:

7.265

Step-by-step explanation:

pav-90 [236]3 years ago
7 0

ANSWER

7.26451 correct  to 3 decimal places is 7.265


EXPLANATION

We start counting from the first number after the decimal point.

So starting from 2, we count 3 decimal places to the right and land on 4.


Next, we check to see if the number after 4, is greater or equal 5, then we round up, else we round down.


Since that number is 5, it is greater than or equal to 5.


Therefore we round up to obtain 7.265


You might be interested in
For two events A and B show that P (A∩B) ≥ P (A)+P (B)−1.
nordsb [41]

Answer:

<h3>For two events A and B show that P (A∩B) ≥ P (A)+P (B)−1.</h3>

By De morgan's law

(A\cap B)^{c}=A^{c}\cup B^{c}\\\\P((A\cap B)^{c})=P(A^{c}\cup B^{c})\leq P(A^{c})+P(B^{c}) \\\\1-P(A\cap B)\leq  P(A^{c})+P(B^{c}) \\\\1-P(A\cap B)\leq  1-P(A)+1-P(B)\\\\-P(A\cap B)\leq  1-P(A)-P(B)\\\\P(A\cap B)\geq P(A)+P(B)-1

which is Bonferroni’s inequality

<h3>Result 1: P (Ac) = 1 − P(A)</h3>

Proof

If S is universal set then

A\cup A^{c}=S\\\\P(A\cup A^{c})=P(S)\\\\P(A)+P(A^{c})=1\\\\P(A^{c})=1-P(A)

<h3>Result 2 : For any two events A and B, P (A∪B) = P (A)+P (B)−P (A∩B) and P(A) ≥ P(B)</h3>

Proof:

If S is a universal set then:

A\cup(B\cap A^{c})=(A\cup B) \cap (A\cup A^{c})\\=(A\cup B) \cap S\\A\cup(B\cap A^{c})=(A\cup B)

Which show A∪B can be expressed as union of two disjoint sets.

If A and (B∩Ac) are two disjoint sets then

P(A\cup B) =P(A) + P(B\cap A^{c})---(1)\\

B can be  expressed as:

B=B\cap(A\cup A^{c})\\

If B is intersection of two disjoint sets then

P(B)=P(B\cap(A)+P(B\cup A^{c})\\P(B\cup A^{c}=P(B)-P(B\cap A)

Then (1) becomes

P(A\cup B) =P(A) +P(B)-P(A\cap B)\\

<h3>Result 3: For any two events A and B, P(A) = P(A ∩ B) + P (A ∩ Bc)</h3>

Proof:

If A and B are two disjoint sets then

A=A\cap(B\cup B^{c})\\A=(A\cap B) \cup (A\cap B^{c})\\P(A)=P(A\cap B) + P(A\cap B^{c})\\

<h3>Result 4: If B ⊂ A, then A∩B = B. Therefore P (A)−P (B) = P (A ∩ Bc) </h3>

Proof:

If B is subset of A then all elements of B lie in A so A ∩ B =B

A =(A \cap B)\cup (A\cap B^{c}) = B \cup ( A\cap B^{c})

where A and A ∩ Bc  are disjoint.

P(A)=P(B\cup ( A\cap B^{c}))\\\\P(A)=P(B)+P( A\cap B^{c})

From axiom P(E)≥0

P( A\cap B^{c})\geq 0\\\\P(A)-P(B)=P( A\cap B^{c})\\P(A)=P(B)+P(A\cap B^{c})\geq P(B)

Therefore,

P(A)≥P(B)

8 0
2 years ago
A private plane is traveling due east at a rate of 160 mph. A south wind is blowing 30 mph. What is the actual velocity of the p
photoshop1234 [79]

The resultant velocity of the plane is the sum of the two velocity vectors which are perpendicular to each other. See the attached figure.

The magnitude of the resultant velocity is

\sqrt{160^2+30^2}= \sqrt{26500}=162.79 \;mph.

The approximate value of the actual velocity of the plane is 163 \;mph. Correct choice is (D).

8 0
3 years ago
jeordine spreads out a rectangular picnic blanket with an area of 42 square feet. its width is 6 feet. which equation could you
Bas_tet [7]

L(which is length) is equal to 42 divided by width which is 6. so the equation is L=42/6

5 0
3 years ago
Identify the similar triangles. Find each measure.​
boyakko [2]

Answer:

Example: these two triangles are similar: If two of their angles are equal, then the third angle must also be equal, because angles of a triangle always add to make 180°. So AA could also be called AAA (because when two angles are equal, all three angles must be equal)

5 0
3 years ago
You deposit 700 in an account with an annual interest rate of 4%​
nadezda [96]

Answer:

28

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Find the volume of a rectangular prism with length 32 feet width 50 feet and height 100 feet? Please hurry!
    13·1 answer
  • " Explain how you used the bar model in Exercise 2 to solve the problem "
    15·1 answer
  • Write an equation 2830 and 3
    11·1 answer
  • EASY 7TH GRADE MATH, WILL GET BRAINLIEST
    5·2 answers
  • HELP i will give brainly
    14·2 answers
  • 12/18 In simplest form
    5·2 answers
  • <img src="https://tex.z-dn.net/?f=%285-2i%29%5E%7B2%7D" id="TexFormula1" title="(5-2i)^{2}" alt="(5-2i)^{2}" align="absmiddle" c
    7·1 answer
  • How did the Medieval Church control people's lives?
    7·1 answer
  • Which expression forms an equation with the given expression; 24 - 5 x 2
    8·2 answers
  • Frank has constructed a tent in the shape of a square pyramid.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!