Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Sicilia randomly selected 25% of the Sound Sleep email subscribers and asked them how many hours of sleep they average each night. Of the subscribers surveyed, 16 average less than 6 hours of sleep each night. Based on the data, what is the most reasonable estimate of the number of Sound Sleep email subscribers who average less than 6 hours of sleep? Choose 1 answer: (A) 16 (B) 48 (c) 64 (D) 400

Sicilia randomly selected 25% 25 \% of the Sound Sleep email subscribers and asked them how many hours of sleep they average each night. Of the subscribers surveyed, 1616 average less than 66 hours of sleep each night. Based on the data, what is the most reasonable estimate of the number of Sound Sleep email subscribers who average less than 66 hours of sleep?\newlineChoose 11 answer:\newline(A) 1616\newline(B) 4848\newline(C) 6464\newline(D) 400400

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Interpret parts of quadratic expressions: word problemsright chevron icon

Full solution

Q. Sicilia randomly selected 25% 25 \% of the Sound Sleep email subscribers and asked them how many hours of sleep they average each night. Of the subscribers surveyed, 1616 average less than 66 hours of sleep each night. Based on the data, what is the most reasonable estimate of the number of Sound Sleep email subscribers who average less than 66 hours of sleep?\newlineChoose 11 answer:\newline(A) 1616\newline(B) 4848\newline(C) 6464\newline(D) 400400
  1. Understand the problem: Understand the problem.\newlineWe know that 25%25\% of the Sound Sleep email subscribers were surveyed, and 1616 of those surveyed average less than 66 hours of sleep each night. We need to estimate the total number of subscribers who average less than 66 hours of sleep based on this sample.
  2. Calculate total surveyed subscribers: Calculate the total number of surveyed subscribers.\newlineSince 1616 subscribers represent 25%25\% of the surveyed group, we can calculate the total number of surveyed subscribers by dividing 1616 by 25%25\% (or 0.250.25 in decimal form).\newline16/0.25=6416 / 0.25 = 64\newlineThere were 6464 subscribers surveyed in total.
  3. Estimate total subscribers: Estimate the total number of subscribers.\newlineIf 6464 subscribers represent 25%25\% of the total number of subscribers, we can estimate the total number by multiplying 6464 by 44 (since 25%25\% is 1/41/4 of 100%100\%).\newline64×4=25664 \times 4 = 256\newlineThe most reasonable estimate of the total number of subscribers is 256256.
  4. Estimate subscribers with less sleep: Estimate the number of subscribers who average less than 66 hours of sleep.\newlineSince 1616 out of 6464 surveyed subscribers average less than 66 hours of sleep, we can assume the same proportion applies to the total number of subscribers. Therefore, we multiply the total number of subscribers by the proportion of those who sleep less than 66 hours.\newline256×(16/64)=256×0.25=64256 \times (16/64) = 256 \times 0.25 = 64\newlineThe most reasonable estimate of the number of subscribers who average less than 66 hours of sleep is 6464.

More problems from Interpret parts of quadratic expressions: word problems

Question
Solve by completing the square.\newlinem2−10m−29=0m^2 - 10m - 29 = 0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newline`m` = ____ or `m` = _____
Get tutor helpright-arrow

Posted 8 months ago

Question
Find g(x) g(x) , where g(x) g(x) is the translation 5 5 units up of f(x)=x2 f(x)=x^2 .\newlineWrite your answer in the form a(x–h)2+k a(x–h)^2+k , where a a , h h , and k k are integers.\newlineg(x)= g(x)= ____
Get tutor helpright-arrow

Posted 7 months ago

Question
What is the range of this quadratic function?\newliney=x2−4x+4y = x^2 - 4x + 4\newlineChoices:\newline{y∣y≥2}\left\{y \mid y \geq 2\right\}\newline{y∣y≤0}\left\{y \mid y \leq 0\right\}\newline{y∣y≥0}\left\{y \mid y \geq 0\right\}\newlineall real numbers\text{all real numbers}
Get tutor helpright-arrow

Posted 5 months ago

Question
Write the equation of the parabola that passes through the points (1,0)(1,0), (2,0)(2,0), and (3,–16)(3,\text{–}16). Write your answer in the form y=a(x–p)(x–q)y = a(x – p)(x – q), where aa, pp, and qq are integers, decimals, or simplified fractions.\newline______
Get tutor helpright-arrow

Posted 5 months ago

Question
Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.\newlinef2+8f+_____f^2 + 8f + \_\_\_\_\_
Get tutor helpright-arrow

Posted 5 months ago

Question
Solve for h h .\newlineh2+39h=0 h^2 + 39h = 0 \newline\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.\newlineh= h = ____\newline
Get tutor helpright-arrow

Posted 5 months ago

Question
Write a quadratic function with zeros −9-9 and −7-7.\newlineWrite your answer using the variable xx and in standard form with a leading coefficient of 11.\newlinef(x)=_____f(x) = \_\_\_\_\_
Get tutor helpright-arrow

Posted 5 months ago

Question
Find the equation of the axis of symmetry for the parabola y=x2y = x^2. \newlineSimplify any numbers and write them as proper fractions, improper fractions, or integers.\newline‾\underline{\hspace{3cm}}
Get tutor helpright-arrow

Posted 4 months ago

Question
Find g(x)g(x), where g(x)g(x) is the translation 88 units up of f(x)=x2f(x) = x^2.\newlineWrite your answer in the form a(x–h)2+ka(x – h)^2 + k, where aa, hh, and kk are integers.\newlineg(x)=g(x) = ______\newline
Get tutor helpright-arrow

Posted 4 months ago

Question
Solve for xx.\newlinex2=1x^2 = 1\newline\newlineWrite your answer in simplified, rationalized form.\newlinex=x = ______ or x=x = ______\newline
Get tutor helpright-arrow

Posted 5 months ago

View all (145)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant