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3 years ago

PLEASE HELP!!! WILL MARK AS BRAINLIEST!!!

Mathematics

1 answer:

kipiarov [429]3 years ago

7 0

Answer:

$y = 300 (2)^x$

Where x represent the number of period of times of 22 minutes. If we want to know the value of the population after 66 minutes we need to find the value of x on this way:

$x = 66 minutes *\frac{1period}{22 minutes}= 3$

So then we need to replace the value of x =3 and we got:

$y= 300 (2)^3 = 2400$

Step-by-step explanation:

For this case we have the following function:

$y = 300 (2)^x$

Where x represent the number of period of times of 22 minutes. If we want to know the value of the population after 66 minutes we need to find the value of x on this way:

$x = 66 minutes *\frac{1period}{22 minutes}= 3$

So then we need to replace the value of x =3 and we got:

$y= 300 (2)^3 = 2400$

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Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal

faust18 [17]

Answer:

The probability is $P(X \le 70) = 0.9685$

Step-by-step explanation:

From the question we are told that

The mean values is $M_1 = 15 \ minutes , \ M_2 = 30\ minutes, \ M_3 = 20 \ minutes$

The standard deviation is $\sigma_1 = 1 \ minutes , \ \sigma_2 = 2 \ minutes , \ \sigma = 1.5 \ minutes$

Generally the total mean is mathematically represented as

$\= x = \sum M_i$

=> $\= x = 15 + 30 + 20$

=> $\= x = 65$

Generally the total variance is mathematically represented as

$V(x) = \sum \sigma^2_i$

=> $V(x) = 2^2 + 1^2 + 1.5^2$

=> $V(x) = 7.25$

Generally the total standard deviation is mathematically represented as

$\sigma = \sqrt{V(x)}$

=> $\sigma = \sqrt{7.25 }$

=> $\sigma = 2.69$

Generally the probability that it takes at most 70 min of machining time to produce a randomly selected component is mathematically represented as

$P(X \le 70) = 1 - P( X > 70 )$

Here $P(X > 70) = P(\frac{X - \mu }{\sigma} > \frac{70 - 65}{ 2.69} )$

$\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )$

$P(X > 70) = P(Z > 1.8587 )$

From the z table

The area under the normal curve to the right corresponding to 1.8587 is

$P(Z > 1.8587 ) = 0.031535$

$P(X \le 70) = 1 - 0.031535$

=> $P(X \le 70) = 0.9685$

7 0

3 years ago

Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using this procedure. Step 1: Find the greatest common

Vedmedyk [2.9K]

Answer:

Yes, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple

Step-by-step explanation:

The given side lengths are;

21, 28, and 35

From the given side lengths, the greatest common factor = 7

Therefore, we have;

3 × 7, 4 × 7, and 5 × 7

A Pythagorean triple is formed by three numbers, 'a', 'b', and, 'c', which are both positive and integers, that are related as follows;

c² = a² + b²

Therefore, for the three numbers, we get;

3, 4, and 5 is a Pythagorean triple

5² = 3² + 4²

Multiplying both sides by 7² gives;

(5)² × (7)² = (3)² × (7)² + (4)² × (7)²

By the laws of indices, (a·b)ⁿ = aⁿ × bⁿ

Therefore;

(5 × 7)² = (3 × 7)² + (4 × 7)²

Therefore, multiplying every length of the Pythagorean triple by the same whole number results in a Pythagorean triple.

(The relationship can also be shown using similar triangles, as multiplying the side lengths of a triangle by the same whole number, gives a similar triangle, having the same relationship between its sides)

3 0

3 years ago

4. Determine the amount of a $3000 investment at 9%/a compounded monthly for 6 years. [4 marks]

sweet [91]

Answer:

A = $ 5137.65 .

Step-by-step explanation:

Amount = $3000

interest rate = 9 %

= 9/12 = 0.75%

compounded monthly for

time = 6 years.

= 6 × 12 = 72 months.

$A = P(1+\dfrac{r}{100})^t$

$A = 3000\times (1+\dfrac{0.75}{100})^{72}$

A = $ 5137.65

hence, the amount after compounding $3000 at the rate of 9% after 6 years is A = $ 5137.65 .

5 0

4 years ago

How do I prove the corresponding angles theorem?

Rufina [12.5K]

The Corresponding Angles Theorem states: If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
A theorem is aproven statement or an accepted idea that has been shown to be true.

8 0

3 years ago

4b+3=−9 i need help it is inportant

Fantom [35]

Answer:

b=-3

Step-by-step explanation:

4b+3=-9

-3 -3

subtract 3 from both sides like so. 3-3 cancels out. -9-3=-12.

4b=-12

youre left with 4b=12 so DIVIDE 4b by 4 and -12 by 4

4b/4=-12/4

4b divided by 4 is 1. -12 divided by 4 is -3

b=-3

plug -3 in for b to make sure its correct

4(-3)+3=-9

-12+3=-9

-9=-9

5 0

4 years ago

Read 2 more answers