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Amiraneli [1.4K]

3 years ago

11

Suppose a loaded die has the following probability model: If this die is thrown and the top face shows an odd number, what is th

e probability that the die shows a 1

1 answer:

PtichkaEL [24]3 years ago

6 0

Answer:

the probability is 0.6

Step-by-step explanation:

The computation is shown below:

Let us assume the X would be the number appear on the top face

Now

= P(X = 1) ÷ P(X = 0)

= 0.3 ÷ 0.3 + 0.1 + 0.1

= 0.3 ÷ 0.5

= 0.6

hence, the probability is 0.6

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The Martins’ van can hold up to 8 passengers. Debbie writes the inequality p < 8, where p is the number of passengers that ca

Salsk061 [2.6K]

Answer:

Debbie should have included 8 as a possible choice. The correct inequality is p < 9.

Step-by-step explanation:

Given

Passengers = Up to 8

Required

Determine why $p < 8$ is incorrect and make corrections

The inequality $p < 8$ means that the van can hold less than 8 passengers.

To make correction, the digit 8 has to be included in the inequality.

This can be written as:

$p$ or $p \le 8$

<em>Base on the given options, option (c) best answered the question.</em>

4 0

2 years ago

What is the value of x in degrees?

Brums [2.3K]

180-55-39=86
x=86
Hope it helps

3 0

3 years ago

The students in Mr. Wilson's Physics class are making golf ball catapults. The

Mnenie [13.5K]

Answer:

Part a) About 48.6 feet

Part b) About 8.3 feet

Part c) The domain is $0 \leq x \leq 48.6\ ft$ and the range is $0 \leq y \leq 8.3\ ft$

Step-by-step explanation:

we have

$y=-0.014x^{2} +0.68x$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

where

x is the ball's distance from the catapult in feet

y is the flight of the balls in feet

Part a) How far did the ball fly?

Find the x-intercepts or the roots of the quadratic equation

Remember that

The x-intercept is the value of x when the value of y is equal to zero

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-0.014x^{2} +0.68x=0$

so

$a=-0.014\\b=0.68\\c=0$

substitute in the formula

$x=\frac{-0.68(+/-)\sqrt{0.68^{2}-4(-0.014)(0)}} {2(-0.014)}$

$x=\frac{-0.68(+/-)0.68} {(-0.028)}$

$x=\frac{-0.68(+)0.68} {(-0.028)}=0$

$x=\frac{-0.68(-)0.68} {(-0.028)}=48.6\ ft$

therefore

The ball flew about 48.6 feet

Part b) How high above the ground did the ball fly?

Find the maximum (vertex)

$y=-0.014x^{2} +0.68x$

Find out the derivative and equate to zero

$0=-0.028x +0.68$

Solve for x

$0.028x=0.68$

$x=24.3$

<em>Alternative method</em>

To determine the x-coordinate of the vertex, find out the midpoint between the x-intercepts

$x=(0+48.6)/2=24.3\ ft$

To determine the y-coordinate of the vertex substitute the value of x in the quadratic equation and solve for y

$y=-0.014(24.3)^{2} +0.68(24.3)$

$y=8.3\ ft$

the vertex is the point (24.3,8.3)

therefore

The ball flew above the ground about 8.3 feet

Part c) What is a reasonable domain and range for this function?

we know that

A reasonable domain is the distance between the two x-intercepts

so

$0 \leq x \leq 48.6\ ft$

All real numbers greater than or equal to 0 feet and less than or equal to 48.6 feet

A reasonable range is all real numbers greater than or equal to zero and less than or equal to the y-coordinate of the vertex

so

we have the interval -----> [0,8.3]

$0 \leq y \leq 8.3\ ft$

All real numbers greater than or equal to 0 feet and less than or equal to 8.3 feet

8 0

3 years ago

PLEASE HELP! WILL NAME BRAINLIEST!!

lbvjy [14]

Answer:

Y = 60 degrees and X = 12

Step-by-step explanation:

x+3 and 15 are congruent so x+3 = 15, 12+3 = 15 therefore x = 12

y = 60 vertically opposite angles are equal. :D

3 0

3 years ago

Read 2 more answers

Simplify the expression:<br> sinx+cosx/sinxcosx

Keith_Richards [23]

Sin x + $\frac{cos x}{sinx cosx}$
= sinx + $\frac{1}{sin x}$
= $sin^{2}x$ +1
= $cos^{2} x$

6 0

3 years ago