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3 years ago

The sum of two numbers is 107, the difference is 51. Find the numbers. Answer : The numbers are

Mathematics

1 answer:

Fynjy0 [20]3 years ago

8 0

Answer:

The answer is 56.

Others are 50 + 57 = 107, 44 + 63 = 107, and 39,68

Step-by-step explanation:

107-51 = 56

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If a cube measures 5.3 cm on each side and has a mass of 280 grams how much is its volume

OlgaM077 [116]

Answer:

8.1 g/cm

Step-by-step explanation:

3 0

3 years ago

Pls help me with this

ValentinkaMS [17]

I don’t see anything

6 0

2 years ago

Simplify: (4p3 + 6p2 – 7) – (8p? – 7 – 3p)

Kipish [7]

Answer:

4p3 + 6p2 - 8p - 7

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "p2" was replaced by "p^2". 1 more similar replacement(s).

STEP

Equation at the end of step 1

(((4 • (p3)) + (2•3p2)) - 7) - 8p

STEP

Equation at the end of step

((22p3 + (2•3p2)) - 7) - 8p

STEP

Checking for a perfect cube

3.1 4p3+6p2-8p-7 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 4p3+6p2-8p-7

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -8p-7

Group 2: 4p3+6p2

Pull out from each group separately :

Group 1: (8p+7) • (-1)

Group 2: (2p+3) • (2p2)

3.3 Find roots (zeroes) of : F(p) = 4p3+6p2-8p-7

Polynomial Roots Calculator is a set of methods aimed at finding values of p for which F(p)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers p which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 4 and the Trailing Constant is -7.

The factor(s) are:

of the Leading Coefficient : 1,2 ,4

of the Trailing Constant : 1 ,7

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 3.00

-1 2 -0.50 -2.00

-1 4 -0.25 -4.69

-7 1 -7.00 -1029.00

-7 2 -3.50 -77.00

-7 4 -1.75 3.94

1 1 1.00 -5.00

1 2 0.50 -9.00

1 4 0.25 -8.56

7 1 7.00 1603.00

7 2 3.50 210.00

7 4 1.75 18.81

Final result :

4p3 + 6p2 - 8p - 7

5 0

2 years ago

14 10 56 40 14 x 56 find the length of the missing side

IrinaK [193]

Answer: 14x56=784

Step-by-step explanation:

4 0

3 years ago

A large electronic office product contains 2000 electronic components. Assume that the probability that each component operates

KIM [24]

Answer:

The probability is 0.971032

Step-by-step explanation:

The variable that says the number of components that fail during the useful life of the product follows a binomial distribution.

The Binomial distribution apply when we have n identical and independent events with a probability p of success and a probability 1-p of not success. Then, the probability that x of the n events are success is given by:

$P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}$

In this case, we have 2000 electronics components with a probability 0.005 of fail during the useful life of the product and a probability 0.995 that each component operates without failure during the useful life of the product. Then, the probability that x components of the 2000 fail is:

$P(x)=\frac{2000!}{x!(2000-x)!}*0.005^{x}*(0.995)^{2000-x}$ (eq. 1)

So, the probability that 5 or more of the original 2000 components fail during the useful life of the product is:

P(x ≥ 5) = P(5) + P(6) + ... + P(1999) + P(2000)

We can also calculated that as:

P(x ≥ 5) = 1 - P(x ≤ 4)

Where P(x ≤ 4) = P(0) + P(1) + P(2) + P(3) + P(4)

Then, if we calculate every probability using eq. 1, we get:

P(x ≤ 4) = 0.000044 + 0.000445 + 0.002235 + 0.007479 + 0.018765

P(x ≤ 4) = 0.028968

Finally, P(x ≥ 5) is:

P(x ≥ 5) = 1 - 0.028968

P(x ≥ 5) = 0.971032

3 0

2 years ago