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3 years ago

Helppp me pls I can’t figure this out

Mathematics

1 answer:

V125BC [204]3 years ago

4 0

Answer:

A=F

Step-by-step explanation:

It's the congruency

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What is an equation of the line with slope 3 that goes through point (-1/2, 5/2)?

kkurt [141]

The only equation that has 3 as the coefficient of x (a slope of 3) is ...

... d.) y = 3x+4

_____

Happily, it also goes through the given point.

... 5/2 = 3(-1/2) +4

... 5/2 = -3/2 + 8/2 . . . . true

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4 years ago

Write the slope-intercept form of the equation of each line?

Ivenika [448]

Problem 1

It appears the line is going through the points (-1,-4) and (0,5)

Let's find the slope

$(x_1,y_1) = (-1,-4) \text{ and } (x_2,y_2) = (0,5)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{5 - (-4)}{0 - (-1)}\\\\m = \frac{5 + 4}{0 + 1}\\\\m = \frac{9}{1}\\\\m = 9\\\\$

The slope is 9

The y intercept is b = 5 as this is where the graph crosses the y axis.

We go from y = mx+b to y = 9x+5

<h3>Answer: y = 9x+5</h3>

=======================================================

Problem 2

This line goes through the points (0,4) and (5,5)

We'll follow the same exact steps as before

First we need the slope

$(x_1,y_1) = (0,4) \text{ and } (x_2,y_2) = (5,5)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{5 - 4}{5 - 0}\\\\m = \frac{1}{5}\\\\$

The y intercept is the y coordinate of (0,4) so it's b = 4

<h3>Answer: $y = \frac{1}{5}x+4$ </h3>

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2 years ago

The probability that the noise level of a wide-band amplifier will exceed 2 dB is 0.05 independently of every other amplifier. C

snow_lady [41]

Answer:

0.980

Step-by-step explanation:

The probability that the noise level of a wide-band amplifier will exceed 2 dB is 0.05

So, probability of success = 0.05

Probability of failure = 1-0.05=0.95

There are 12 amplifiers

We are supposed to find the probability that at most two will exceed 2dB.

We will use binomial distribution

Formula : $P(X=r)=^nC_r p^r q ^{n-r}$

p = 0.05

q = 0.95

n = 12

We are supposed to find the probability that at most two will exceed 2dB.

So, $P(X\leq 2)=P(X=0)+P(X=1)+P(X=2)$

$P(X\leq 2)=^{12}C_0 P(0.05)^0 (0.95)^{12-0}+^{12}C_1 P(0.05)^1(0.95)^{12-1}+^{12}C_2 P(0.05)^2 (0.95)^{12-2}$

$P(X\leq 2)=\frac{12!}{0!(12-0)!} (0.05)^0 (0.95)^{12-0}+\frac{12!}{1!(12-1)!}(0.05)^1(0.95)^{12-1}+\frac{12!}{2!(12-2)!} (0.05)^2 (0.95)^{12-2}$

$P(X\leq 2)=0.980$

Hence the probability that at most two will exceed 2dB is 0.980

7 0

3 years ago

QUESTION 2

Helga [31]

| –3.9| + | 3.9|

absolute value of | –3.9| is 3.9

absolute value of |3.9| is 3.9

so replacing the above values with

3.9 +3.9 =7.8

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3 years ago

What would happen to a monthly payment if the interest rate decreased

olga55 [171]

Answer:

The monthly payment will consequently decrease

Step-by-step explanation:

If the interest rate charged say on a mortgage loan is decreased, then the total repayments due will as a consequence decline provided the repayment term remains unaltered. Nevertheless, a decline in total repayments due amounts to a decrease in the monthly or annual repayments

6 0

4 years ago

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