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2 years ago

Write 0.07131 correct to 3 decimal places

Mathematics

2 answers:

pochemuha2 years ago

8 0

No it needs to be moved over two more spots

lesantik [10]2 years ago

6 0

The first decimal place has the digit 0

the second decimal place has the digit 7

the third decimal place has the digit ....either 1 or 2.

this depends on the forth one, if it was 5 or higher, the third digit would be 2
since the fourth digit is 3, which is lower than 5, we don't have to change the third digit : it remains a "1"

so the answer is 0.071

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PLEASE HELP ME

olga_2 [115]

The measure of the angles are ∠A = 91°, ∠C = 89° and ∠D = 34°

Explanation:

Given that the quadrilateral ABCD is inscribed in a circle.

The given angles are ∠A = (2x + 3), ∠C = (2x + 1) and ∠D = (x - 10)

We need to determine the measures of the angles A, C and D

The value of x:

We know that, the opposite angles of a cyclic quadrilateral add up to 180°

Thus, we have,

$\angle A+\angle C=180^{\circ}$

Substituting the values, we have,

$2x+3+2x+1=180$

$4x+4=180$

$4x=176$

$x=44$

Thus, the value of x is 44.

Measure of ∠A:

Substituting $x=44$ in ∠A = (2x + 3)°, we get,

$\angle A=(2(44)+3)^{\circ}$

$=(88+3)^{\circ}$

$\angle A=91^{\circ}$

Thus, the measure of angle A is 91°.

Measure of ∠C :

Substituting $x=44$ in ∠C = (2x + 1)°, we get,

$\angle C=(2(44)+1)^{\circ}$

$=(88+1)^{\circ}$

$\angle C=89^{\circ}$

Thus, the measure of angle C is 89°.

Measure of ∠D :

Substituting $x=44$ in ∠D = (x - 10)°, we get,

$\angle D=(44-10)^{\circ}$

$\angle D=34^{\circ}$

Thus, the measure of angle D is 34°.

Hence, the measure of the angles are ∠A = 91°, ∠C = 89° and ∠D = 34°

7 0

3 years ago

Mrs. Hanson has 2 pies for a party. She calculates that if she splits the pies evenly among the guests, they will each receive 1

brilliants [131]

There are 32 guests.
Proof: 1*8*2=32.

4 0

3 years ago

Read 2 more answers

400 Suppose a particular surveillance system has a 99% chance of correctly identifying a future terrorist and a 99.8% chance of

alexgriva [62]

Answer:

1.236 × 10^(-3)

Step-by-step explanation:

Let A be the event that the person is a future terrorist

Let B the event that the person is identified as a terrorist

We are told that there are 1,000 future terrorists in a population of 400 million. Thus, the Probability that the person is a terrorist is;

P(A) = 1000/400000000

P(A) = 0.0000025

P(A') = 1 - P(A)

P(A') = 1 - 0.0000025

P(A') = 0.9999975

We are told that the system has a 99% chance of correctly identifying a future terrorist. Thus; P(B|A) = 0.99

Thus, P(B'|A) = 1 - P(B|A)

P(B'|A) = 1 - 0.99

P(B'|A) = 0.01

We are told that there is a 99.8% chance of correctly identifying someone who is not a future terrorist. Thus; P(B'|A') = 0.998

Hence: P(B|A') = 1 - P(B'|A')

P(B|A') = 1 - 0.998

P(B|A') = 0.002

We want to find the probability that someone who is identified as a terrorist, is actually a future terrorist. This is represented by: P(A|B)

We can find it from bayes theorem as follows;

P(A|B) = [P(B|A) × P(A)]/[(P(B|A) × P(A)) + (P(B|A') × P(A')]

Plugging in the relevant values;

P(A|B) = [0.99 × 0.0000025]/[(0.99 × 0.0000025) + (0.002 × 0.9999975)]

P(A|B) = 0.00123597357 = 1.236 × 10^(-3)

8 0

2 years ago

The system of equations has 2x-y=2(x+1) y=-2

sleet_krkn [62]

Answer:

Step-by-step explanation:

This equation has no solution.

3 0

2 years ago

What is the slope of the graph? (Example: 2/3,-4,-2/9)

mart [117]

Answer:

7/9

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers