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3 years ago

Jane drew a point that was 3 units to the right of the y-axis and 5 units above x-axis what ordered pair for this location

Mathematics

1 answer:

anygoal [31]3 years ago

7 0

Answer:

(3,5)

Step-by-step explanation:

If you imagine a grid in your head, moving 3 units to the right is the same as 3 on the x axis, and 5 units above the x axis is the same as 5 on the y axis. X goes before y in an ordered pair, so the answer would be (3,5). Hope this helps!!

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How do you solve 3x+2-x=-2/3x+26

vesna_86 [32]

Answer:

x=9

Step-by-step explanation:

$3x+2-x=-\frac{2}{3}x+26\\ 2x+2=-\frac{2}{3} x+26\\*3\\6x+6=-2x+78\\+2x\\8x+6=78\\8x=72\\x=9$

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3 years ago

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At which points is this graph discontinuous? List your answers in increasing order.

aleksandr82 [10.1K]

The graph is discont. at x = -2 and again at x = 1.

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4 years ago

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I am stuck on 14 and 15 as they do not have a straight line going through to help me, anybody know how to ?? thanks !

posledela

Answer:

14. x=21, GK=167°, HJ=98°, HGJ=262°, GKJ=201°

15. x=9, AD=108°, BC=23°, DC=139°, DBC=221°

Step-by-step explanation:

In each case, the sum of the arcs around the circle is 360°.

14. 61 +(5x -7) +34 +(9x -22) = 360

14x = 294 . . . . . subtract 66, simplify

x = 21 . . . . . . . . divide by 14

(5x -7) = 98

(9x -22) = 167

x = 21
arc GK = 167°
arc HJ = 98°
arc HGJ = 360° -98° = 262°
arc GKJ = 167° +34° = 201°

15. 90 +(2x +5) +(17x -14) +(12x) = 360

31x = 279 . . . . subtract 81, simplify

x = 9 . . . . . . . . divide by 31

(2x+5) = 23

(17x -14) = 139

(12x) = 108

x = 9
arc AD = 108°
arc BC = 23°
arc DC = 139°
arc DBC = 360° -139° = 221°

3 0

3 years ago

he response times for a random sample of 40 medical emergencies were tabulated. The sample mean is 13.25 minutes. The population

Gwar [14]

Answer:

The calculated value Z = 2.5 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

The Alternative hypothesis is rejected

The EMS director wants to service goal of 12 minutes or less is being achieved

Step-by-step explanation:

Step(i):-

Given that the size of the random sample = 40

Given that the mean of the sample (x ⁻) = 13.25

Given that the standard deviation of the Population = 3.2 minutes

Level of significance = 0.05

The mean of the Population (μ) = 12

Step(ii):-

Null hypothesis:-H₀: (μ) = 12

Alternative Hypothesis: H₁ : μ < 12

Test statistic

$Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{13.25-12 }{\frac{3.2}{\sqrt{40} } }$

Z = 2.5

The tabulated value Z₀.₀₅ = 1.96

The calculated value Z = 2.5 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

The Alternative hypothesis is rejected

Final answer:-

The EMS director wants to service goal of 12 minutes or less is being achieved

3 0

3 years ago

Find the value of x ..... Thanks

Helga [31]

$\dfrac{|AE|}{|AD|}=\dfrac{|AB|}{|AC|}$

Therefore:
$\dfrac{10}{10+8}=\dfrac{x}{10}\\\\\dfrac{10}{18}=\dfrac{x}{10}\\\\18x=100\\x=\dfrac{100}{18}=5.555\ldots=5.\overline{5}$

So, none of the choices are correct (5.5 is an approximation).

5 0

2 years ago