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Mandarinka [93]

3 years ago

10

A teacher wrote the numbers 10 ,-2, 4, 3, -1, -7 ,1 on a white board.the teacher asked which number should she write in order to

make the sum of all the numbers equal to zero?

1 answer:

storchak [24]3 years ago

3 0

Let x be that number:

x +10 -2 +4 + 3 - 1 - 7 +1 = 0

x +8 = 0

and x = - 8

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In a study of 775 randomly selected medical malpracticelawsuits, it was found that 502 of them were dropped or dismissed. Use a

bulgar [2K]

By using a 0.05 significance level, we can conclude that there is sufficient evidence that most medical malpractice lawsuits are dropped or dismissed.

<h3>How to test the claim for the medical malpractice lawsuits?</h3>

Since we have to compare whether the sample proportion is greater than or lesser than the population proportion, a one-tailed test would be used. Also, we would calculate the sample proportion of medical malpractice lawsuits that are dropped or dismissed as follows:

Sample proportion, p = x/n

Sample proportion, p = 502/775

Sample proportion, p = 0.6477

Mathematically, the null and alternative hypothesis is given by:

H₀: p = 0.5

H₁: p > 0.5

For the test statistic can be calculated by using this mathematical expression:

$z=\frac{\hat{p}\;-\;p_o}{\sqrt{\frac{p_o(1-p_o)}{n }} }$

Where:

$\hat{p}$ represents the sample mean.
$p_o$ represents the mean.
n represents the number of subjects.

Substituting the given parameters into the formula, we have;

z = (0.6477 - 0.5)/√(0.5(1 - 0.5)/775)

z = 0.1477/√(0.25/775)

z = 0.1477/0.01796

z = 8.224.

For the p-value, we have:

p(z>8.224) = 0.0000

Therefore, the p-value (0.000) is less than the significance level α = 0.05. Based on this, we would reject the null hypothesis.

Read more on malpractice lawsuits here: brainly.com/question/13032617

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5 0

1 year ago

Geometry help please how do I do these?

trapecia [35]

Answer:

Question 7:

∠L = 124°

∠M = 124°

∠J = 118°

Question 8:

∠Q = 98°

∠T = 98°

∠R = 82°

Question 15:

m∠G = 110°

Question 16:

∠G = 60°

Question 17:

∠G = 80°

Question 18:

∠G = 70°

Step-by-step explanation:

The angles can be solving using Symmetry.

Question 7.

The sum of interior angles in an isosceles trapezoid is 360°, and because it is an isosceles trapezoid

∠K = ∠J = 118°

∠L = ∠M

∠K+∠J+∠L +∠M = 360°

236° + 2 ∠L = 360°

Therefore,

∠L = 124°

∠M = 124°

∠J = 118°

Question 8.

In a similar fashion,

∠Q+∠T+∠S +∠R = 360°

and

∠R = ∠S = 82°

∠Q = ∠T

∠Q+∠T + 164° = 360°

2∠Q + 164° = 360°

2∠Q = 196°

∠Q = ∠T =98°.

Therefore,

∠Q = 98°

∠T = 98°

∠R = 82°

Question 15.

The sum of interior angles of a kite is 360°.

∠E + ∠G + ∠H + ∠F = 360°

Because the kite is symmetrical

∠E = ∠G.

And since all the angles sum to 360°, we have

∠E +∠G + 100° +40° = 360°

2∠E = 140° = 360°

∠E = 110° = ∠G.

Therefore,

m∠G = 110°

Question 16.

The angles

∠E = ∠G,

and since all the interior angles sum to 360°,

∠E + ∠G + ∠F +∠H = 360°

∠E + ∠G + 150 + 90 = 360°

∠E + ∠G = 120 °

∠E = 60° = ∠G

therefore,

∠G = 60°

Question 17.

The shape is a kite; therefore,

∠H = ∠F = 110°

and

∠H + ∠F + ∠E +∠G = 360°

220° + 60° + ∠G = 360°,

therefore,

∠G = 80°

Question 18.

The shape is a kite; therefore,

∠F = ∠H = 90°

and

∠F +∠H + ∠E + ∠G = 360°

180° + 110° + ∠G = 360°

therefore,

∠G = 70°.

3 0

3 years ago

HELP MEEE RNNNNNNNNNNNNN

dolphi86 [110]

As this rectangle has it's sides parallel to x axis and y axis

it is easy to find the length of it's sides by counting the number of blocks on each sides.

Let us first find co ordinates of all four points

we would calculate them left and right and up down direction from the origian ( the cross point of x and y axis )

A : it is 2 unit left 2 unit up ( -2 , +2 )

B is 5 unit right 2 unit up ( +5 ,+2)

C is 5 unit right 2 unit down ( +5,-2)

D is 2 unit left 2 unit down ( -2,-2)

Let us now find the distance AB : A is 2 unit left B is 5 unit right so length AB= 2+5 = 7

Let us now find distance AD : A is 2 unit up and D is 2 unit down

so length AD= 2+2= 4

Answer should be 7 x 4 units

5 0

3 years ago

Read 2 more answers

What is find the total area

kenny6666 [7]

You have to find the area of a shape.

7 0

3 years ago

Can someone plz help me?

ivann1987 [24]

Answer: The correct answer is Choice C.

Step-by-step explanation: In order to solve this problem you need to look at the equation’s parts.

The first part is multiplying 5 by the contents of the parenthesis. So, 5(2x-2) equals 10x - 10. Now, but the equation together and simplify it:

10x - 10 + 10x =

20x - 10

3 0

3 years ago