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4 years ago

Picture with question. Help plz

Mathematics

1 answer:

storchak [24]4 years ago

7 0

Answer:

270, 810 i think

Step-by-step explanation:

10×3=30, 30×3=90, 90×3=270, 270×3=810

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Please answer the question

Marizza181 [45]

I believe it is number iii #3

5 0

3 years ago

Read 2 more answers

Apolicy requiring all hospital employees to take lie detector tests may reduce losses due to theft, but some employees regard su

galina1969 [7]

suppose that any pair of tests are independent. What is the probability that a machine will conclude that

a each of three employees is lying when all are telling the truth?

b at least one of the three employees is lying when all are telling the truth?

Answer:

a. The probability that each of three employees is lying when all are telling the truth is 0.000125

b. The probability that at least one of the three employees is lying when all are telling the truth is 0.1426

Step-by-step explanation:

Let the event be;

A= the lie detector concludes that a person is lying who, in fact, is telling the truth

B= the lie detector concludes that a person is lying who, in fact, is telling lie

Given their probabilities as:

P(A)= 0.05 and P(B)= (1 - 0.05)= 0.95

a. What is the probability that a machine will conclude that each of three employees is lying when all are telling the truth?

A binomial problem with n= 3 and P= 0.05

P(all are telling truth) = P^n= 0.05^3 = 0.000125

b. What is the probability that at least one of the three employees is lying when all are telling the truth?

P(at least one is telling) = P(one is telling lie) + P(two are telling lie) + P(three are telling lie)

P(at least one is telling) = 1 - P(B) = 1 - (0.95)^3 = 0.1426

4 0

4 years ago

What is the result of this question

Helga [31]

Answer:

2x^2+x-3

The first number is 2x squared, then plus x, then minus 3.

3 0

4 years ago

At a sale on winter clothing, Cody bought four pairs of gloves and four hats for $36.00. Tori bought three pairs of gloves and f

iren [92.7K]

Answer:

gloves cost $5

hats cost $4

Step-by-step explanation:

four pairs of gloves and four hats for $36.00

4g + 4h = 36

three pairs of gloves and four hats for $31.00

3g + 4h = 31

-------------------------

Subtract the second equation from the first

4g + 4h = 36

-( 3g + 4h = 31 )

––––––––––––

g = 5

gloves cost $5

substitute for g = 5 into either equation

4(5) + 4h = 36

20 + 4h = 36

Subtract 20 from both sides

4h = 16

Divide both sides by 4

h = 4

hats cost $4

4 0

3 years ago

Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 3 inches, and the larger gear has a ra

Crank

Answer:

<u>Part 1:</u> Angle = 154.3°

<u>Part 2:</u> About 2.33 Rotations

Step-by-step explanation:

Part 1:

The arc length of a circle is given by the formula $s=r\theta$

Where

s is the arc length
r is the radius of the circle
$\theta$ is the angle

**The angle are in radians and we will use radian**

When smaller gear has made 1 complete rotations ( $2\pi$ radians), the arc length traveled is $s=r\theta\\s=(3)(2\pi)\\s=6\pi$

Now, what angle is swept by the larger circle when it travels $6\pi$ ? Put in $s=6\pi$ and r is 7 to find $\theta$ :

$s=r\theta\\6\pi=(7)\theta\\\theta= \frac{6\pi}{7}$

** Since $\pi$ radians is 180°, we plug in 180 into $\pi$ and find the degree measure:

$\frac{6\pi}{7}=\frac{6*180}{7}=154.3$

Angle = 154.3°

Part 2:

In one complete rotation of the larger gear, it travels a distance of:

$s=r\theta\\s=(7)(2\pi)\\s=14\pi$

We know that the smaller circle makes 1 rotation and travels $s=r\theta=(3)(2\pi)=6\pi$ , so in $14\pi$ distance, it makes:

Rotations = $\frac{14\pi}{6\pi}=\frac{14}{6}=2.33$

About 2.33 Rotations

4 0

3 years ago