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Katena32 [7]
3 years ago
11

Which is the graph 3y - 5x greater than or equal to -6?

Mathematics
1 answer:
Stells [14]3 years ago
3 0
Its the 3rd choice if we have to shade the unwante part
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A rectangular picture frame has a width of 9 cm and a length of x cm.
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x+9

Step-by-step explanation:

the perimeter of any polygon is the sum of all the sides

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Can someone help me this question?
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Step-by-step explanation:

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On circle O below, the measure of FJ is 84º . The measure of GH is 76°.<br> What is the measure of
Vsevolod [243]

Given:

Measure of arc FJ = 84°

Measure of arc GH = 76°

To find:

The measure of angle HKJ.

Solution:

The image of the question is attached below.

Angles inside the circle theorem:

If two chords intersect inside a circle, then the measure of each angle is one half the sum of the measures of the intercepted arc and its vertical arc.

$\Rightarrow m \angle G K H=\frac{1}{2}(m(a r  \ G H)+m(a r \  F J))

$\Rightarrow m \angle G K H=\frac{1}{2}\left(76^{\circ}+84^{\circ}\right)

$\Rightarrow m \angle G K H=\frac{1}{2}\left(160^{\circ}\right)

\Rightarrow m \angle G K H=80^{\circ}

Sum of the adjacent angles in a straight line is 180°.

⇒ m∠GKH + m∠HKJ = 180°

⇒ 80° + m∠HKJ = 180°

Subtract 80° from both sides.

⇒ 80° + m∠HKJ - 80° = 180° - 80°

⇒ m∠HKJ = 100°

The measure of ∠HKJ is 100°.

8 0
3 years ago
The data represented by the graph is normally distributed and adheres to the 68-95-99.7 rule. the standard deviation of this dat
jenyasd209 [6]

Answer:

i)

the standard deviation of this data is 2.2

ii) 84%

Step-by-step explanation:

We have been informed that the data represented by the graph is normally distributed and adheres to the 68-95-99.7 rule. This implies that we shall be dealing with the applications of the empirical rule.

In a normal distribution, the mean is also the mode as well as the median of the distribution. This implies that the mean is at the center of the distribution. In our case, the mean is 4.8. The vertical lines represents data points that lie 1, 2 and 3 standard deviations away from the mean.

From the graph, both 11.4 and -1.8 lie 3 standard deviations away from the mean on either side. We can thus use the following equation to solve for the unknown standard deviation;

mean + 3(sigma) = 11.4

where sigma is the standard deviation.

our mean is 4.8, therefore;

4.8 + 3(sigma) = 11.4

3(sigma) = 6.6

sigma = 2.2

ii)

In order to determine the percentage of the population that will fall below the mark of 7, we shall first determine how many standard deviations away from the mean the value 7 lies.

To do this, we can use the following equation;

4.8 + n(2.2) = 7

2.2n = 2.2

n = 1

Therefore, the data point 7 lies one standard deviation away from the mean to the right.

The percentage of the population that will fall below one standard deviation away from the mean is;

68 + 13.5 + 2.35 = 83.85%

Using the empirical rule

8 0
3 years ago
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