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Alik [6]
3 years ago
8

It cost you $12 to start up your

Mathematics
1 answer:
brilliants [131]3 years ago
6 0

Step-by-step explanation:

let no. of hours be x.

45x - 12 ≥ 117

45x ≥ 129

x ≥ 2.8667 (5sf)

therefore, 3 hours (round up to next whole number).

Topic: inequalities

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

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Which algebraic expression is equivalent to the expression below?
ludmilkaskok [199]

Answer:

C) 20x+78

Step-by-step explanation:

9(x-6)+11(x+12)

9x-54+11x+132

20x-54+132

20x+78

4 0
3 years ago
Read 2 more answers
I need this question answered plz help.
wel

Answer:

a.12/13

Step-by-step explanation:

  • FORMULA: sine of an angle in a triangle is given by, \frac{opposite side's length}{length of the hypotenuse}
  • here, in the given triangle PQR, for angle 'p'

opposite side= QR

adjacent side= PQ

hypotenuse=PR

  • Therefore, sine of angle p= \frac{QR length}{PR length}  = \frac{12}{13}
  • Thus, by using the above given formula, the sine of angle p in the triangle PQR is 12/13.
  • hence, the trigonometric formulas as mentioned above should be remembered for sure to solve these type of problems

6 0
3 years ago
A researcher wishes to estimate the proportion of X-ray machines that malfunction. A random 275 sample of machines is taken, and
Dominik [7]

Answer:

Following are the solution to the given question:

Step-by-step explanation:

95\% Confidence Interval for both the percentage of all x-ray machines

p = the machinery's share is not working:

= \frac{228}{275}\\\\ = 0.829

\text{Margin of Error} = Z_{(\frac{\alpha}{2})} \times \sqrt{( p \times (1-p)}{n})

                         = 1.96 \times \sqrt{(0.829 \times \frac{0.171}{275})} \\\\= 1.96 \times 0.023 \\\\= 0.045

Lower 95\% Confidence interval = p - error margin = 0.829 - 0.045 = 0.784

Upper 95\% Confidence Interval = p + error margin= 0.829 + 0.045 = 0.874

So, 95\% Confidence Interval = ( 0.78 , 0.87 )

4 0
3 years ago
Sara has 4 yellow beads and 3 green beads.how many beads does sara have
Neko [114]
Sarah has 7 beads all together
7 0
3 years ago
CAN SOMEONE PLEASE WRITE A EQUATION OF THIS LINE!!
serious [3.7K]

Answer (<u>assuming it can be in slope-intercept form)</u>:

y = -x - 1

Step-by-step explanation:

When knowing the slope of a line and its y-intercept, you can write an equation to represent it in slope-intercept form, or y = mx + b format. Substitute the m and b for real values.

1) First, find the slope of the equation, or m. Pick any two points from the line and substitute their x and y values into the slope formula, m = \frac{y_2-y_1}{x_2-x_1}. I chose the points (0, -1) and (-1, 0):

m = \frac{(0)-(-1)}{(-1)-(0)} \\m = \frac{0+1}{-1-0} \\m = \frac{1}{-1} \\m = -1

Thus, the slope is -1.

2) Now, find the y-intercept, or b. The y-intercept of a line is the point at which the line crosses the y-axis. By reading the graph, we can see that the line intersects the y-axis at the point (0,-1), therefore that must be the y-intercept.  

3) Now, substitute the found values into the y = mx + b formula. Substitute -1 for m and -1 for b:

y = -x  -1

5 0
3 years ago
Read 2 more answers
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