Whats the distance between (-1,4) and (1,-5)

X<25 true or false ? 100<4x -3x>-75 10>35-x Are these true or false ?

strojnjashka [21]

Answer:

What is the value of x

Step-by-step explanation:

X<25 true or false ? This says x is less than 25

100<4x

Divide each side by 4

100/4 <4x/4

25<x

This says x is greater than 25

-3x>-75

Divide each side by -3, remembering to flip the inequality

-3x/-3 < -75/-3

x < 25

x is less than 25

10>35-x

Add x to each side

10+x >35-x+x

10+x>35

Subtract 10 from each side

10-10+x>35-10

x>25

x is greater than 25

5 0

4 years ago

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3y – 6x = 3 y = 2x + 1

Keith_Richards [23]

Answer:

infinite solutions along the line y = 2x+1

Step-by-step explanation:

3y – 6x = 3

y = 2x + 1

Replace y in the first equation with the second equation

3 ( 2x+1) -6x =3

6x +3 -6x = 3

3=3

This is always true so there are infinite solutions along the line y = 2x+1

8 0

3 years ago

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A company produces optical-fiber cable with a mean of 0.6 flaws per 100 feet. What is the probability that there will be exactly

Mars2501 [29]

Answer:

$P(X = 4) =0.133$

Step-by-step explanation:

From the question we are told that:

Mean $\x=0.6/100$

Flaws $f=4$

Distance $d_2=1000ft$

Generally the equation for Poisson mean lambda over 1000 is mathematically given by

$\lambda=0.6*1000/100$

$\lambda = 6$

Therefore

$P(X = 4) = {e^-\lambda * \lambda^{\=x}} {{\=x}!}$

$P(X = 4) =\frac{ e^{-6} * 6^4}{ 4!}$

$P(X = 4) =0.133$

4 0

3 years ago

Consider the following: A medical researcher wants to determine the effects of pH (a measure of alkalinity or acidity, with pure

natita [175]

Answer:

See below

Step-by-step explanation:

<h3>Continuation of the question</h3>

Data in the table:

PH 4 5 6 7 8 9 10 11

Bacteria 116 120 131 136 141 151 148 163

Create a scatter plot to represent the data: Based on the data and your scatter plot, what do you think a good linear function would be to represent the data?

<h3>Solution</h3>

See attached for scatter plot

We can see the chart is close to linear function. Let's build one based on data in the table

The line will be in the form of:

y = mx + b

If we use two points and get the equation

(4, 116) and (8, 141)

Finding the slope:

m = (141-116)/(8-4) = 25/4 = 6.25

Then, finding y-intercept:

116 = 6.25*4 + b
b = 116 - 25 = 91

So the line is:

y = 6.25x + 91

Note: This is approximate best fit graph and it is attached as well. Exact formula for the line is built by using different method and is very close to the one above

4 0

4 years ago

Multiply 12.57 by 4.11. Round your answer to the nearest hundredth.

slava [35]

12.57 * 4.11 = 51.66

1257 *remove the decimal and treat the numbers as whole numbers.
 x 411
1257 * 1 x 1257
12570 *10 x 1257
2800 *400 x 7
20000 *400 x 50
80000 *400 x 200
+ 400000 *400 x 1000
516627

516627 is the product of 12.57 and 4.11 without their decimal points.

516627. the decimal point must be moved 4 places because the total count of numbers after the decimal is 4.

from 516627 to 51.6627 ; round to the nearest hundredth 51.66

7 0

3 years ago

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