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2 years ago

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The spinner is equally likely to land on any of the five sections. A spinner contains 5 equals sections labeled 1, 2, 3, 4, 5. S

ections 2, 1, 5, 4 are shaded. What is the probability that the spinner lands on an even number or on the unshaded section? One-fifth Two-fifths Three-fifths Four-fifths

1 answer:

Maurinko [17]2 years ago

8 0

Answer:

Three-fifths

Step-by-step explanation:

The number of sections is 5 and the unshaded section is 3 even numbers are 1, 3 and 5. Since 3 is in both cases there are 3 numbers: 1, 3 and 5. So it is three-fifths

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Determine the zero of F(x)=x^2+3x-5

IgorLugansk [536]

Answer:

The answer to your question is:

Step-by-step explanation:

x² + 3x - 5

x² + 3x + (3/2)² = 5 + (3/2)²

(x + 3/2)² = 5 + 9/4

(x + 3/2)² = (20 + 9) /4

(x + 3/2)² = 29/4

x + 3/2 = ±√29 / 2

x 1 = -3/2 + √29/2 x2 = -3/2 - √29/2

x1 = 1.19 x2 = -4.19

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2 years ago

The mean height of married American women in their early twenties is 64.5 inches and the standard deviation is 2.5 inches. The m

SSSSS [86.1K]

Answer:

The equation for regression line and predicting a husband's height for married couples in their early 20s

Equation: Y'=33.67+0.54*X'

Step-by-step explanation:

r=0.5

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Sx=2.5

y'=68.5

Sy=2.7

General regression line equation is:

Y'=a+b*X'

so the slope of the regression line is the linear correlation coefficient multiplied by the standard deviation for y' divided by the standard deviation for x'

$b=r*\frac{S_{y}}{S_{x}}\\b=0.5*\frac{2.7}{2.5}\\b=0.54$

The intercept with axis y is the mean of the decreased by the product of the slope and the mean of x

$a=y'-b*x'\\a=68.5-0.54*64.5\\a=33.67$

The equation regression line then is:

Y'=33.67+0.54*X'

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3 years ago

What is the solution to the inequality below. x(absolute value) <5

jok3333 [9.3K]

Answer:

-5 < x < 5

Step-by-step explanation:

|x| < 5

This can be split into two cases: x < 5 and -x < 5 because |x| could be either x or -x depending on whether x is positive, negative, or 0. Solving the second one we get x > -5 so the answer is -5 < x < 5.

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2 years ago

What is pie in algebra?

Xelga [282]

Answer:

3.14

Step-by-step explanation:

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2 years ago

Read 2 more answers

Point B has coordinates (1,2). The x-coordinate of point A is -8. The distance between point A and point B is 15 units. What

Xelga [282]

Answer:

The possible coordinates of point A are $A_{1} (x,y) = (-8, 14)$ and $A_{2} (x,y) = (-8, -10)$ , respectively.

Step-by-step explanation:

From Analytical Geometry, we have the Equation of the Distance of a Line Segment between two points:

$l_{AB} = \sqrt{(x_{B}-x_{A})^{2} + (y_{B}-y_{A})^{2}}$ (1)

Where:

$l_{AB}$ - Length of the line segment AB.

$x_{A}, x_{B}$ - x-coordinates of points A and B.

$y_{A}, y_{B}$ - y-coordinates of points A and B.

If we know that $l_{AB} = 15$ , $x_{A} = -8$ , $x_{B} = 1$ and $y_{B} = 2$ , then the possible coordinates of point A is:

$\sqrt{(1+8)^{2}+(2-y_{A})^{2}} = 15$

$81 + (2-y_{A})^{2} = 225$

$(2-y_{A})^{2} = 144$

$2-y_{A} = \pm 12$

There are two possible solutions:

1) $2-y_{A} = -12$

$y_{A} = 14$

2) $2 - y_{A} = 12$

$y_{A} = -10$

The possible coordinates of point A are $A_{1} (x,y) = (-8, 14)$ and $A_{2} (x,y) = (-8, -10)$ , respectively.

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3 years ago