Ask question

Ask question

All categories

4 years ago

13

Jake's teacher had 6 calculators for 28 students to use. If the first students to use the calculators are chosen at random, what

is the probability that jake will get one?

1 answer:

marta [7]4 years ago

7 0

Answer:

$\dfrac{3}{14}$ or 21.45%

Step-by-step explanation:

To find the probability that Jake will get a calculator, we simply divide the number of calculators to the number of students in the class.

Probability = $\dfrac{6}{28}$

Probability = $\dfrac{3}{14}$

To find the probability in percentage form, we simply multiply the quotient of $\dfrac{3}{14}$ by 100

$\dfrac{3}{14} =0.2142$

0.2142 x 100 = 21.42%

So Jack has a 21.45% chance of getting a calculator from the teacher.

You might be interested in

Find the perimeter and area of each figure below

Lunna [17]

Got to get the answer tell you in 2 min ok

3 0

3 years ago

On the grid, draw a rotation of triangle ABC, a translation of triangle ABC, and a reflection of triangle ABC. Describe clearly

Ulleksa [173]

Answer:

Step-by-step explanation:

6 0

3 years ago

The length of a rectangular driveway is five feet more than three times the width. The area is 350ft2. Find the width and length

crimeas [40]

Answer:

width -- 10 ft
length -- 35 ft

Step-by-step explanation:

We can let x represent the width. Then the length will be represented by (3x+5), a value 5 more than 3 times the width.

The area is the product of length and width, so is ...

A = (3x +5)(x) = 3x^2 +5x

To make the area 350, we can find the value of x from ...

3x^2 +5x = 350

This can be solved a number of ways. One of them is "completing the square".

3(x^2 +5/3x) = 350

We choose to divide by 3 and add the square of half the x-coefficient.

x^2 +5/3x +(5/6)^2 = (350/3) + (5/6)^2

(x +5/6)^2 = 4225/36 . . . . simplify

x +5/6 = ±√(4225/36) = ±10 5/6 . . . . take the square root

x = 10 or -11 2/3 . . . . subtract 5/6

The positive solution is the one of interest: x = 10.

The driveway is 10 ft wide and 35 ft long.

4 0

3 years ago

How to multiply 6 and 4/9

Margaret [11]

Answer:

2 and 2/3

Step-by-step explanation:

To multiply fractions, all you have to do is multiply the numerators by the denominators and/or simplify opposite sides.

4/9 * 6 would be 4/9 * 6/1, which equals 4/3 * 2/1. 4*2 is 8 and 3*1 is 3, so the answer would be 8/3, which simplifies to 2 2/3.

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7Bx-5%7D%7B2x%5E%7B2%7D-5x-3%20%7D" id="TexFormula1" title="f(x) = \f

Vedmedyk [2.9K]

i) The given function is

$f(x)=\frac{x-5}{2x^2-5x-3}$

The factored form is

$f(x)=\frac{x-5}{(x-3)(2x+1)}$

The domain are the values of x for which the function is defined.

$(x-3)(2x+1)\ne 0$

$(x-3)\ne0,(2x+1)\ne 0$

$x\ne3,x\ne-\frac{1}{2}$

ii) To find the vertical asymptotes, equate the denominator to zero.

$(x-3)(2x+1)=0$

$(x-3)=\ne0,(2x+1)=0$

$x=3,x=-\frac{1}{2}$

iii) To find the roots, equate the numerator to zero.

$x-5=0$

The root is $x=5$

iv) To find the y-intercept, put $x=0$ into the function.

$f(0)=\frac{0-5}{(0-3)(2(0)+1)}$

$f(0)=\frac{-5}{(-3)(1)}$

$f(0)=\frac{5}{3}$

The y-intercept is $\frac{5}{3}$

v) The horizontal asymptote is given by;

$lim_{x\to \infty}\frac{x-5}{2x^2-5x-3}=0$

The horizontal asymptote is $y=0$

vi) The function is not reducible. There are no holes.

vii) The given function is a proper rational function.

Proper rational functions do not have oblique asymptotes.

3 0

3 years ago

Read 2 more answers