Ask question

Ask question

All categories

3 years ago

8

There are 3 paper clips and 5 erasers in a paper sack. If 2 items are drawn at random, without replacement, what is the probabil

ity that one will draw a paper clip and then an eraser?

1 answer:

Mkey [24]3 years ago

7 0

Answer:

15/56

Step-by-step explanation:

Probability of picking out a paperclip first is 3/8, then the probability of picking out an eraser is 5/7. Multiply these probabilities (15/56)

You might be interested in

(x-3)(2x+1) Can someone help me on this please

a_sh-v [17]

2x^2-5x-3

This is the answer I believe, I apologize if it’s incorrect

6 0

3 years ago

6. A prism has bases that are equilateral triangles with sides lengths of 10 inches and a length of 30 inches.

vova2212 [387]

Answer:

The volume of the prism is $1,299\ in^{3}$

Step-by-step explanation:

we know that

The volume of the prism is equal to

$V=BL$

where

B is the area of the triangular base

L is the length of the prism

we have

$L=30\ in$

<em>Find the area of the base B</em>

The area of a equilateral triangle is equal to

$B=\frac{1}{2}(10)^{2} sin(60\°)$

$B=25\sqrt{3}\ in^{2}$

substitute

$V=(25\sqrt{3})(30)=1,299\ in^{3}$

4 0

3 years ago

A baseball is thrown in a parabolic arc. It's position above the ground at a given point in time

FinnZ [79.3K]

If the ball was thrown straight up at 24 ft/sec when it was 5 ft above the ground, the ball reached a maximum height of 7.25 m

$\texttt{ }$

<h3>Further explanation</h3>

Discriminant of quadratic equation ( ax² + bx + c = 0 ) could be calculated by using :

<h2>D = b² - 4 a c</h2>

From the value of Discriminant , we know how many solutions the equation has by condition :

D < 0 → No Real Roots

D = 0 → One Real Root

D > 0 → Two Real Roots

$\texttt{ }$

An axis of symmetry of quadratic equation y = ax² + bx + c is :

$\large {\boxed {x = \frac{-b}{2a} } }$

Let us now tackle the problem!

$\texttt{ }$

<u>Given:</u>

$p(t) = 3gt^2 + v_ot + p_o$

$p(t) = 3(-32)t^2 + 24t + 5$

$p(t) = -64t^2 + 24t + 5$

<u>Asked:</u>

$p_{max} = ?$

<u>Solution:</u>

<em>At the maximum height , velocity is 0 m/s:</em>

$v = \frac{dp(t)}{dt}$

$v = \frac{d}{dt} ( -64t^2 + 24t + 5 )$

$v = (-64)(2)t^{2-1} + 24$

$v = -128t + 24$

$0 = -128t + 24$

$128t = 24$

$t = 24 \div 128$

$t = 3 \div 16$

$t = 0.1875 \texttt{ s}$

$\texttt{ }$

$p(t) = -64t^2 + 24t + 5$

$p(0.1875) = -64(0.1875)^2 + 24(0.1875) + 5$

$p(0.1875) = 7.25 \texttt{ m}$

$\texttt{ }$

<h3>Learn more</h3>

Solving Quadratic Equations by Factoring : brainly.com/question/12182022
Determine the Discriminant : brainly.com/question/4600943
Formula of Quadratic Equations : brainly.com/question/3776858

$\texttt{ }$

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Quadratic Equations

$\texttt{ }$

Keywords: Quadratic , Equation , Discriminant , Real , Number

#LearnWithBrainly

3 0

3 years ago

Read 2 more answers

Karl wants to rent a bike for at most $55. He can rent a bike for $7 per hour plus a $9.50 flat fee. Any portion of an hour is c

Papessa [141]

Answer 6 hours
Reason
7x + 9.50 = 55
-9.50. -9.50 subtract from both sides
_____________
7x = 45.50

Divide both sides by 7 to isolate x
X = 6.5
So he can rent for 6 hours (the .5 would be charged as a full hour per the problem)

5 0

2 years ago

What is the value of x

goblinko [34]

Answer:

52/3

Step-by-step explanation:

Use basic Thales therom,

$\frac{3x}{4x}=\frac{3x+7}{5x-8}\\\\\frac{3}{4}=\frac{3x+7}{5x-8}\\$

Cross multiply,

3*(5x-8)=4*(3x+7)

3*5x - 3*8 = 4*3x + 4*7

15x - 24 = 12x +28

Add 24 to both sides

15x = 12x + 28 + 24

15x = 12x + 52

Subtract 12x from both sides

15x-12x =52

3x = 52

Divide both sides by 3

x = 52/3

8 0

3 years ago