Find the product of 543.1187 and 100.

3x-2y=-1. <br> Y=-x+3. <br> Is (1,2) a solution do the system?

andrew-mc [135]

Answer:

Yes

Step-by-step explanation:

To figure out if (1,2) is a solution to the system, we can plug the values in and see if it is true.

3x-2y=-1

3(1)-2(2)=-1

3-4=-1

-1=-1

It is true for this equation. Now let's check the next one.

y=-x+3

2=-(1)+3

2=2

Since both equations are true when we plug the values in, (1,2) is a solution to the system.

8 0

3 years ago

Read 2 more answers

I need to send photos.

frez [133]

SOLUTION:

Step 1:

From the given question, and comparing the scores in classes A and B

Step 2:

Question one, to know the class which had the better overall result on the exam;

(I) The scores in class A ranges from 65 to 100, while that of class B ranges from 60 to 90. This explains that class A had better results.

(ii) The median of the scores in class A is 85, while the median of the scores in class B is 75, this is another piece of supporting evidence that class A had better results.

Step 3:

Question two, to know the class which had greater variability in the results;

For a better understanding of this question, I need to explain the concept of variability in statistics.

Variability in statistics refers to the difference being exhibited by data points within a data set, as related to each other or as related to the mean. This can be expressed through the range, variance or standard deviation of a data set.

Step 4:

So we need to find the range of scores in each of the two classes and then compare, the class with the greater range has the greater variability.

The Range is the difference between the lowest and highest score (H - L), where H is the highest score and L is the lowest score.

Step 5:

Applying the formula for range stated in step 4;

For Class A; H = 100 and L = 65

For Class B; H = 90 and L = 60

The range for class A; H - L = 100 - 65 = 35

The range for class B; H - L = 90 - 60 = 30

By comparing the range of class A and that of B, it is clear that Class A had a greater range (variability)

CONCLUSION:

Class A had better overall results in the exam and greater variability in the results.

6 0

7 months ago

Please help me with this!!!

guajiro [1.7K]

Answer: 41

Step-by-step explanation:

9*(-2)*(-2) - 4*(-2) - 3 = 9*4 + 8 - 3 = 36 + 5 = 41

3 0

3 years ago

Express the following equation in slope-intercept form: 13x - 3y = 18 Select the best answer from the choices provided. A. y = 3

AveGali [126]

Answer:

The equation in the slope-intercept form is y = $\frac{13}{3}x$ + -6 ⇒ C

Step-by-step explanation:

The slope-intercept form of the linear equation is

y = m x + b, where

m is the slope of the line

b is the y-intercept

∵ The equation is 13x - 3y = 18

→ At first move x from the left side to the right side by subtracting 13x

from both sides

∴ 13x - 13x - 3y = 18 - 13x

∴ - 3y = 18 - 13x

→ Make the coefficient of y equal 1 by dividing both sides by -3

∵ $\frac{-3y}{-3}=\frac{18}{-3}-\frac{13x}{-3}$

∴ y = -6 - ( $-\frac{13}{3}x$ )

→ Remember (-)(-) = (+)

∴ y = -6 + $\frac{13}{3}x$

→ Switch the two terms of the right side

∴ y = $\frac{13}{3}x$ + - 6

∴ The equation in the slope-intercept form is y = $\frac{13}{3}x$ + -6

7 0

3 years ago

A cylinder has a volume of 400 cubic feet. If the height of the cylinder is 25 feet, what is the radius of the cylinder? Use 3.

Lisa [10]

The radius of the cylinder will be $r=2.25ft$

<h3>What will be the radius of the cylinder?</h3>

It is given that

$Volume of the cylinder = 400 ft^{3}$

$height of the cylinder= 25 ft^{3}$

Now we know that

$Volume of the cylinder = \pi r^{2} h$

putting values in the formula

$400= \pi \times r^{2} \times25$

$r= \dfrac{4}{\sqrt{3.14} }$

$r=2.25 ft$

Thus the radius of the cylinder will be $r=2.25ft$

To learn more about the Volume of the cylinder follow

brainly.com/question/9554871

8 0

2 years ago