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3 years ago

Find the TWO integers whos product is -12 and whose sum is 1

Mathematics

2 answers:

nikitadnepr [17]3 years ago

4 0

The answer is -3 and 4. (-3)•4=-12 and -3+4=1

Marianna [84]3 years ago

3 0

4 and -3 is the answer to this

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Select ALL the true statements.

ss7ja [257]

Answer:

Step-by-step explanation:

A. When adding a negative number to a positive, you subtract. 2.3 - 2.3 will equal 0.

B. When adding two negative numbers, you get an even smaller negative number. (-3.7) + (-4.1) = -7.8

C. When subtracting a negative number, the two negative signs become a positive. -12/4 is equal to 3. -2.6 + 3 is 0.4, which is positive.

D. 5/2 is the same as 2.5. If you subtract 2.5 from 2.5, you will get 0, which is not negative.

E. Two negative signs make a positive, so 72 + 100 is positive, not negative.

8 0

2 years ago

Find the value of each variable. If you give the decimal value, round to the nearest tenth.

DiKsa [7]

u = 10.4 and v = 12

Solution:

In the given 2 sides of a triangle are 60°, 60°.

Sum of all the angles of a triangle = 180°

60° + 60° + third angle = 180°

⇒ third angle = 180° – 60° – 60°

⇒ third angle = 60°

All angles are equal, therefore the given triangle is an equilateral triangle.

⇒ All sides are equal in length.

⇒ v = 12

The line drawn from the top angle divides the triangle into two equal parts

and the line is perpendicular.

12 ÷ 2 = 6

Using Pythagoras theorem,

$\text{Base}^2+\text{Opposite}^2=\text{Hypotenuse}^2$

⇒ $6^2+\text{opposite}^2=12^2$

⇒ $36+\text{opposite}^2=144$

⇒ $\text{opposite}^2=108$

⇒ $\text{opposite}=6\sqrt3=10.4$

⇒ u = 10.4

Hence, u = 10.4 and v = 12.

7 0

3 years ago

Which situation would most likely be represented by a rational number that is not an integer

serious [3.7K]

A fraction
i hope this helped

4 0

3 years ago

A scientist claims that 7% 7 % of viruses are airborne. If the scientist is accurate, what is the probability that the proportio

Reptile [31]

Answer:

The probability is $P(|p-\^{p}| > 0.03) = 0.0040$

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.07$

The mean of the sampling distribution is $\mu_p = 0.07$

The sample size is n = 600

Generally the standard deviation is mathematically represented as

$\sigma_p = \sqrt{\frac{p (1 -p)}{n} }$

=> $\sigma_p = \sqrt{\frac{0.07(1 -0.07)}{600} }$

=> $\sigma_p = 0.010416$

Generally the probability that the proportion of airborne viruses in a sample of 600 viruses would differ from the population proportion by greater than 3% is mathematically represented as

$P(|p-\^{p}| > 0.03) = 1 - P(|p -\^{p}| \le 0.03)$

=> $P(|p-\^{p}| > 0.03) = 1 - P(-0.03 \le p -\^{p} \le 0.03 )$

Now add p to both side of the inequality

=> $P(|p-\^{p}| > 0.03) = 1 - P( 0.07-0.03 \le \^{p} \le 0.03+ 0.07 )$

=> $P(|p-\^{p}| > 0.03) = 1 - P(0.04 \le \^{p} \le 0.10 )$

Now converting the probabilities to their respective standardized score

=> $P(|p-\^{p}| > 0.03) = 1 - P(\frac{0.04 - 0.07}{0.010416} \le Z \le \frac{0.10 -0.07}{0.010416} )$

=> $P(|p-\^{p}| > 0.03) = 1 - P(-2.88 \le Z \le 2.88 )$

=> $P(|p-\^{p}| > 0.03) = 1 - [P(Z \le 2.88) - P(Z \le -2.88)]$

From the z-table

$P(Z \le 2.88) = 0.9980$

and

$P(Z \le -2.88) = 0.0020$

$P(|p-\^{p}| > 0.03) = 1 - [0.9980 - 0.0020]$

=> $P(|p-\^{p}| > 0.03) = 0.0040$

7 0

3 years ago

Let be the integers a,b,c with

Rom4ik [11]

${ a }^{ 2 }-4b={ c }^{ 2 }\\ \\ { a }^{ 2 }-4b+2b={ c }^{ 2 }+2b\\ \\ { a }^{ 2 }-2b={ c }^{ 2 }+{ \left( \sqrt { 2b } \right) }^{ 2 }$

$b={ 2 }^{ n }\\ \\ n>0$

(n) is the set of <u>odd</u> natural numbers greater than 0.

3 0

3 years ago

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