What is the solution to the equation h+8=6

If you roll a number cube 22 times about how many times do you expect to roll a numeber Less than 4?

frozen [14]

Answer:

About 7 times

Step-by-step explanation:

8 0

3 years ago

Help!! Solving absolute value inequalities

goblinko [34]

Answer:

48. $x \geq -7$ or $x \leq 31$

51. $x \leq 13$ or $x \geq 3$

54. $x < \frac{5}{2}$ or $x > \frac{-15}{2}$

57. $x < \frac{18}{7}$ or $x > -4$

Step-by-step explanation:

48. $| 12 - x | \leq 19$

-There are two equations:

Equation 1:

$12 - x \leq 19$

or

Equation 2:

$12 - x \geq -19$

Solving equation 1:

$12 - x \leq 19$

$12- 12 - x \leq 19 - 12$

$-x \leq 7$

$\frac{-x}{-1} \leq \frac{7}{-1}$

$x \geq -7$ (Inequality sign changed, because of dividing by a negative number)

-Solving equation 2:

$12 - x \geq -19$

$12 - 12 - x \geq -19 - 12$

$-x \geq -31$

$\frac{-x}{-1} \geq \frac{-31}{-1}$

$x \leq 31$ (Inequality sign changed, because of dividing by a negative number)

-Answers:

$x \geq -7$ or $x \leq 31$

51. $| x - 8 | \leq 5$

-There are two equations:

Equation 1:

$x - 8 \leq 5$

or

Equation 2:

$x - 8 \geq - 5$

-Solving equation 1:

$x - 8 \leq 5$

$x - 8 + 8 \leq 5 + 8$

$x \leq 13$

-Solving equation 2:

$x - 8 \geq - 5$

$x - 8 + 8 \geq - 5 + 8$

$x \geq 3$

Answers:

$x \leq 13$ or $x \geq 3$

54. $| 4x + 10 | < 20$

-There are two equations:

Equation 1:

$4x + 10 < 20$

or

Equation 2:

$4x + 10 > -20$

-Solving equation 1:

$4x + 10 < 20$

$4x + 10 - 10 < 20 - 10$

$4x < 10$

$\frac{4x}{4} < \frac{10}{4}$

$x < \frac{5}{2}$

-Solving equation 2:

$4x + 10 > -20$

$4x + 10 - 10 > -20 - 10$

$4x > -30$

$\frac{4x}{4} > \frac{-30}{4}$

$x > \frac{-15}{2}$

-Answers:

$x < \frac{5}{2}$ or $x > \frac{-15}{2}$

57. $| 7x + 5 | < 23$

-There are two equations:

Equation 1:

$7x + 5 < 23$

or

Equation 2:

$7x + 5 > -23$

-Solving equation 1:

$7x + 5 < 23$

$7x + 5 - 5 < 23 - 5$

$7x < 18$

$\frac{7x}{7} < \frac{18}{7}$

$x < \frac{18}{7}$

Solving equation 2:

$7x + 5 > -23$

$7x + 5 - 5 > -23 - 5$

$7x > -28$

$\frac{7x}{7} > \frac{-28}{7}$

$x > -4$

Answers:

$x < \frac{18}{7}$ or $x > -4$

And we are finished.

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5 0

3 years ago

What equation makes the line go through the following points. <br>(11, -3) and (7, 9)

Brums [2.3K]

Answer:

y = -3x + 30

Step-by-step explanation:

First, find the slope using the slope formula:

m = (y2 - y1) / (x2 - x1)

m = (9 - (-3)) / (7 - 11)

m = -12/4

m = -3

Next, find the y-intercept by substituding one of the two points into what the equation is so far:

y = -3x + b

(7, 9)

9 = -3(7) + b

9 = -21 + b

30 = b

Now you have the full equation:

y = -3x + 30

5 0

3 years ago

kevin is starting a saltwater aquarium with 36 fish.He wants to start with 11 times as many damselfish as clown fish.How many of

Alex787 [66]

11 times as many damselfish as clownfish would mean damselfish = 11 times clownfish. Use variable to represent each fish, so variable c will be used to represent clownfish and variable d with be used to represent damselfish. So from as before, d = 11c . Since there is a total of 36 fish, the equation would look to be about d + c = 36. Since we know that d = 11c, you replace the d with 11c. So it will now look like 11c + c = 36. Add like terms , which will be 11c + c to equal 12c. So the new equation is now 12c = 36. To isolate variable c, divide 12 to both sides to get c = 3 . There are 3 clownfish. To find out how many damselfish, replace 3 with c in the equation for d, which is d = 11c. d = 11(3) . d = 33. There are 33 damselfish and 3 clownfish in the tank.

3 0

3 years ago

The yield from silver queen was compared to the yield of country gentlemen. Note: Differences were taken by taking Silver Queen

Mumz [18]

Answer:

$-0.223 \leq \mu_{sylver} -\mu_{Country} \leq 0.988$

We can conclude that the difference between the two means are between -0.223 and 0.988.

And for this case the confidence interval contains the value of 0 so then we have enough evidence to conclude that we don't have significant difference between the means of Silver Queen and the Country Gentlemen.

Step-by-step explanation:

For this case we have the following interval for the difference between Silver Queen - Country Gentlemen:

$-0.223 \leq \mu_{sylver} -\mu_{Country} \leq 0.988$

We can conclude that the difference between the two means are between -0.223 and 0.988.

And for this case the confidence interval contains the value of 0 so then we have enough evidence to conclude that we don't have significant difference between the means of Silver Queen and the Country Gentlemen.

6 0

3 years ago