What is the total number of digits required in numbering the pages of a book, which has 1,724 pages?

A wire was bent into the shape of a rectangle with width 5 and length 7. If this wire is bent into shape of a square, what is th

avanturin [10]

Answer:

6 cm

Step-by-step explanation:

wire was bent into the shape of a rectangle with width 5 and length 7. If this wire is bent into shape of a square, what is the length of a side of the square

Given that:

Rectangular wire with the following dimension :

Width = 5

Length = 7

To obtain the total length of the wire :

Perimeter of rectangle :

2 (length + Width)

2 (5 + 7)

2(12)

= 24 cm

The length of each side of the square will be :

Number of sides = 4

Length of each side :

24 / 4 = 6 cm

6 0

2 years ago

On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−6, 2) and T(1, 2). What is the length of Side RT

andriy [413]

Answer : 7 units

There are two ways you can solve this problem:

1st way - Subtract the T's x coordinate by r's x coordinate.

1-(-6) = 1+6 = 7

2nd way - Graph the points than count the units between them.

[I attached a picture, I graphed ur points]

8 0

3 years ago

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Find each number. Round to the nearest tenth if necessary

Pavel [41]

Answer:

96
6.9
25%
8%
79
33.8

Step-by-step explanation:

Here is the complete question: Find each number. Round to the nearest tenth if necessary.

80% of 120.
115% of 6
What percent of 128 is 32?
3 is what percent of 36?
23.7 is 30% of what number?
71/2% of what is 12?

1) 80% of 120

= $\frac{80}{100} \times 120= 8\times 12$

= 96

∴ 80% of 120= 96

2) $115\%\ of\ 6$

= $\frac{115}{100}\times 6= 1.15\times 6$

∴ $115\%\ of\ 6$ = 6.9

3) What percent of 128 is 32?

= $\frac{32}{128} \times 100$

= $25\%$

4) 3 is what percent of 36?

= $\frac{3}{36} \times 100$

= $8\%$

5) 23.7 is 30% of what number?

Let the number be "x".

⇒ $\frac{30}{100} \times x= 23.7$

Cross multiplying

⇒ $x= \frac{23.7\times 100}{30}$

∴ x= 79.

6) 71/2% of what is 12?

Lets assume the required number be "x".

⇒ $\frac{71}{2} \times 100\times x= 12$

cross multiplying both side.

⇒x= 33.8

∴ 71/2% of 33.8 is 12

6 0

3 years ago

g Suppose a factory production line uses 3 machines, A, B, and C for making bolts. The total output from the line is distributed

Vladimir [108]

Answer:

The probability that it came from A, given that is defective is 0.362.

Step-by-step explanation:

Define the events:

A: The element comes from A.

B: The element comes from B.

C: The element comes from C.

D: The elemens is defective.

We are given that P(A) = 0.25, P(B) = 0.35, P(C) = 0.4. Recall that since the element comes from only one of the machines, if an element is defective, it comes either from A, B or C. Using the probability axioms, we can calculate that

$P(D) = P(A\cap D) + P(B\cap D) + P(C\cap D)$

Recall that given events E,F the conditional probability of E given F is defined as

$P(E|F) = \frac{P(E\cap F)}{P(F)}$ , from where we deduce that

$P(E\cap F) = P(E|F)P(F)$ .

We are given that given that the element is from A, the probability of being defective is 5%. That is P(D|A) =0.05. Using the previous analysis we get that

$P(D) = P(A)P(D|A)+P(B) P(D|B) + P(C)P(D|C) = 0.05\cdot 0.25+0.04\cdot 0.35+0.02\cdot 0.4 = 0.0345$

We are told to calculate P(A|D), then using the formulas we have

$P(A|D) = \frac{P(A\cap D)}{P(D)}= \frac{P(D|A)P(A)}{P(D)}= \frac{0.05\cdot 0.25}{0.0345}= 0.36231884$

3 0

3 years ago

How can you evaluate this expression?|18| =

Svetllana [295]

That is just absolute value, basically what it means is take off whatever sign there was attached to it (such as a negative sign)

7 0

3 years ago

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