Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The winter clothing drive has received donations of $c$ coats, $g$ pairs of gloves, $s$ scarves, and $h$ hats so far. Based on this data, what is a reasonable estimate of the probability that the next donation is not a pair of gloves?

View step-by-step help

View step-by-step help

Find probabilities using the binomial distribution

Full solution

Q. The winter clothing drive has received donations of

c

coats,

g

pairs of gloves,

s

scarves, and

h

hats so far. Based on this data, what is a reasonable estimate of the probability that the next donation is not a pair of gloves?

Add Donations: First, let's add up all the donations received so far: coats, pairs of gloves, scarves, and hats. Suppose we have $50$ coats, $30$ pairs of gloves, $40$ scarves, and $20$ hats.
Calculate Total: Now, calculate the total number of items donated. Total items = $50$ coats + $30$ gloves + $40$ scarves + $20$ hats = $140$ items.
Find Non-Glove Items: Next, find the number of items that are not gloves. Non-glove items = $50$ coats + $40$ scarves + $20$ hats = $110$ items.
Calculate Probability: Calculate the probability that the next donation is not a pair of gloves. Probability = Number of non-glove items / Total number of items = $\frac{110}{140}$ .
Simplify Fraction: Simplify the fraction to get the final probability. $\frac{110}{140}$ reduces to $\frac{11}{14}$ .

More problems from Find probabilities using the binomial distribution

Question

inference about the data is best supported by this information?

\newline

More eighth-grade students prefer art as an elective than prefer band

\newline

Fewer seventh-grade students prefer band or theater as an elective tha art.

\newline

Half as many seventh-grade students as eighth-grade students prefer t an elective.

\newline

Twice as many seventh-grade students as eighth-grade student prefer

Posted 8 months ago

Question

During a single day at radio station WMZH, the probability that a particular song is played is

1 / 3

. What is the probability that this song will be played on at most

2

4

days? Round your answer to the nearest thousandth.

\newline

Posted 8 months ago

Question

Complete the statement. Round your answer to the nearest thousandth.

\newline

In a population that is normally distributed with mean

78

and standard deviation

13

20\%

of the values are those less than ___.

Posted 7 months ago

Question

11

55

p.m., Thomas ties a weight to the minute hand of a clock. The clockwise torque applied by the weight (i.e. the force it applies on the clock's hand to move clockwise) varies in a periodic way that can be modeled by a trigonometric function.

\newline

The torque peaks

15

minutes after each whole hour, when the minute hand is pointing directly to the right, at

3

\mathrm{Nm}

(Newton metre, the SI unit for torque). The minimum torque of

-3

\mathrm{Nm}

15

minutes before each whole hour, when the minute hand is pointing directly to the left.

\newline

Find the formula of the trigonometric function that models the torque

\tau

applied by the weight

t

minutes after Thomas attached the weight. Define the function using radians.

\newline

\tau(t)=\square

Posted 7 months ago

Question

A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below: Spinner Results Color

\quad

\quad

2

\quad

11

\quad

5

\quad

11

\quad

\quad

0

Based on these results, express the probability that the next spin will land on blue or green or purple as a percent to the nearest whole number.

Posted 6 months ago

Question

Zendaya recorded the grade-level and instrument of everyone in the middle school School of Rock below. Seventh Grade Students Instrument # of Students Guitar

7

15

12

6

Eighth Grade Students Instrument # of Students Guitar

7

13

8

12

Based on these results, express the probability that an eighth grader chosen at random will play the drums as a percent to the nearest whole number.

Posted 6 months ago

Question

I start with an

\mathrm{N}

and end with an

\mathrm{A}

, a celestial beauty, far away. A stellar nursery, where stars are born, in the night sky, I adorn. I'm a cloud of dust and gas, through a telescope, don't let me pass. From the Eagle to the Horsehead, I wear many masks, capturing the universe's tasks. Who am I, this celestial drape, painting the cosmos, in vibrant shape?

Posted 5 months ago

Question

Grayson surveyed some students at his school about their favorite colors. Of the students surveyed,

2

said orange was their favorite color, while

36

of the students had other favorite colors. What is the experimental probability that the next student Grayson talks to will pick orange?

Posted 3 months ago

Question

You pick a card at random, put it back, and then pick another card at random.

\newline

4

\newline

5

\newline

6

\newline

7

\newline

What is the probability of picking a number greater than

5

and then picking a

4

\newline

Write your answer as a percentage.

Posted 1 month ago

Question

Jeanne's bank account earns interest annually. The equation shows her starting balance of

\$500

and her balance at the end of three years,

\$546.36

r

did Jeanne earn interest?

\newline

546.36 = 500(1 + r)

Posted 1 month ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant