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4 years ago

URGENT 10 POINTS

Mathematics

1 answer:

rodikova [14]4 years ago

8 0

Answer:D.

The IQR for Week 1 is 31, and the IQR for Week 2 is 25.

Step-by-step explanation:

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Which statement is true?

Irina-Kira [14]

I think it’s D because the definite can’t be a negative

3 0

3 years ago

Determine the equation of the circle graphed below.

sergij07 [2.7K]

Answer:

Equation = (x - 6 )² + ( y + 3 )² = 9

Step-by-step explanation:

The circle passes through ( 6, 0) and ( 6 , -6)

They are the coordinates of the diameter.

Using this we can find the centre of the circle.

Find the centre of the circle.

Centre of the circle is the mid- point of (6, 0) and ( 6, -6)

$Centre = (\frac{x_1+x_2}{2} , \frac{y_1 + y_2}{2})$

$=(\frac{6 + 6}{2}, \frac{0 + (-6)}{2})\\\\=(6, -3)$

Find the radius of the circle.

$Radius = \frac{Diameter }{2}$

Diameter is the distance between the points (6 , 0) and ( 6, - 6)

$Diameter = \sqrt{(x_2 - x_1)^2+ (y_2 - y_1)^2\\}$

$=\sqrt{(6-6)^2 + (-6 -0)^2}\\\\=\sqrt{0 + 36} \\\\= 6$

Therefore,

$Radius ,r = \frac{6}{2} = 3$

Standard equation of a circle:

$(x - a)^2 + (y - b)^2 = r^2 \ where \ (a , b) \ is \ the\ centre \ coordinates.$

Therefore , equation of the circle ;

$(x - 6)^2 + (y + 3)^2 = 3^2\\\\(x -6)^2 + (y + 3)^2 = 9$

6 0

3 years ago

Which expression is equivalent to 4(3-6x)+x. Explain your reasoning. A.)-11x B.)-5x+12 C.)-23x+12 D.)37x

diamong [38]

C) -23x + 12 .. You're going to multiply the 4 to what's inside the parenthesis. So you'll get 12-24x+x Then just add the like terms which are the x's. 12-23x or -23x+12

5 0

3 years ago

Problem PageQuestion

krok68 [10]

Answer:

Jennifer's height is 63.7 inches.

Step-by-step explanation:

Let X = heights of adult women in the United States.

The random variable X is normally distributed with mean, μ = 65 inches and standard deviation σ = 2.4 inches.

To compute the probability of a normal random variable we first need to convert the raw score to a standardized score or z-score.

The standardized score of a raw score X is:

$z=\frac{X-\mu}{\sigma}$

These standardized scores follows a normal distribution with mean 0 and variance 1.

It is provided that Jennifer is taller than 70% of the population of U.S. women.

Let Jennifer's height be denoted by x.

Then according to the information given:

P (X > x) = 0.70

1 - P (X < x) = 0.70

P (X < x) = 0.30

⇒ P (Z < z) = 0.30

The z-score related to the probability above is:

z = -0.5244

*Use a z-table.

Compute the value of x as follows:

$z=\frac{X-\mu}{\sigma}$

$-0.5244=\frac{x-65}{2.4}$

$x=65-(0.5244\times 2.4)$

$=63.7414\\\approx63.7$

Thus, Jennifer's height is 63.7 inches.

3 0

3 years ago

3+5=8 and 13+5=18 therefore the sum of two odd numbers is an even number?

Naddik [55]

Yes because the number that they equal can be divided by two

7 0

3 years ago