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2 years ago

Stephen says that the numbers 38 and 40 are relatively prime. explain why he is incorrect in making this statement

2 answers:

5 0

When you say that two numbers are relatively prime, it means that both numbers do not have a common factor except 1. Stephen is incorrect because 38 and 40 are both multiples of 2.

I hope I answered your question. Thank you J

rodikova [14]2 years ago

5 0

Relatively prime numbers have a GCF of 1. The numbers 38 and 40 have a GCF of 2, so they are not relatively prime.

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According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 9x4 – 2x2 – 3x + 4?

iogann1982 [59]

The answer is the first choice - see picture for solution:

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2 years ago

Read 2 more answers

isco Fever is randomly found in one half of one percent of the general population. Testing a swatch of clothing for the presence

maks197457 [2]

Answer:

0.8894 is the probability that the test result comes back negative if the disease is present .

Step-by-step explanation:

We are given the following in the question:

P(Disco Fever) = P( Disease) =

$P(D) = \dfrac{1}{2}\times 1\% = 0.5 \times 0.01 = 0.005$

Thus, we can write:

P(No Disease) =

$P(ND) =1 - P(D)= 0.995$

P(Test Positive given the presence of the disease) = 0.99

$P(TP | D ) = 0.99$

P( false-positive) = 4%

$P( TP | ND) = 0.04$

We have to evaluate the probability that the test result comes back negative if the disease is present, that is

P(test result comes back negative if the disease is present)

By Bayes's theorem, we can write:

$P(ND|TP) = \dfrac{P(ND)P(TP|ND)}{P(ND)P(TP|ND) + P(D)P(TP|D)}\\\\P(ND|TP) = \dfrac{0.995(0.04)}{0.995(0.04) + 0.005(0.99)} = 0.8894$

0.8894 is the probability that the test result comes back negative if the disease is present .

5 0

1 year ago

If KN =29, what is CN?

Nostrana [21]

29kn are equal to cn 2900000
Hope it was right.

6 0

2 years ago

PLS ANSWER ASAP Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to

irina [24]

The correct answer is c. 16.6

Explain

The triangle left side
Opposite side= hypotheses x sin 0

Plugin

Opposite side = 39 x sin 43

39 x 0.68

26.60

The right side

Opposite side = adjective side x tan0

Opposite side = 26.60 x tan 32

26.60 x 0.62

X= 16.6

Hope this help you :D

6 0

2 years ago

A started some business with RS 26,000. After 3 month B joined him with Rs. 16,000. After some more time C joined them with Rs.

viktelen [127]

Answer:

$3$ $months$

Step-by-step explanation:

We know that the total investment period is 1 year, then since A started, A invested Rs 26,000.

Now, since A has been working for 12 months, this is where the effective investment comes in:

A effective investment = Rs 312,000

Then after 3 months, B joined, so:

12 months - 3 months = 9 months in work

B overall invested = Rs 16,000

Since B only worked nine months, we use that to find effective investment:

B effective investment = Rs 144,000

C joined x months since B joined in:

We don't know how much C worked for, but we know that C joined after B:

C investment period = 9 months - x certain amount of months

We know that C's investment is Rs 25,000

Find effective investment:

Rs 25,000 * ( 9 - x ) = Rs 225,000 - 25,000x then to find the total investment:

Add all effective investment:

Rs 312,000 + Rs 144,000 + Rs 225,000 - 25,000x

= Rs 681000 - 25,000x

We now know that C's investment is 225,000 - 25,000x

Find profit share: 225,000 - 25,000x

==> Rs 3,825

The total profit:

Rs 15,453

To get our final answer, we must do this operation:

C investment divided by Total Investment = C's profit and total profit:

( Rs 225,000 - 25,000x) ÷ ( Rs 681,000 - 25,000x ) = Rs 3,825 / Rs 15,453

25 ( Rs 9,000 - 1,000x)/(Rs 681,000 - 25,000x) = (153 * 25) /(153 * 101)

( Rs 9,000 - 1,000x ) ÷ ( Rs 681,000 - 25,000x ) = 1 / 101

Rs 909,000 - 101,000x = Rs 681,000 - 25,000x

Rs 228,000 = 76,000x

Rs 228 = 76x

x = 3

8 0

2 years ago