1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dafna11 [192]
3 years ago
10

Samuel has a collection of toy cars. his favorites are the 272727 red ones which make up 60\%60%60, percent of his collection.ho

w many toy cars does samuel have?
Mathematics
1 answer:
jeka57 [31]3 years ago
8 0
60% = 27
1 % = 27 ÷ 60 = 0.45
100% = 0. 45 x 100 = 45

Samuel has 45 cars.
You might be interested in
Need help with full work quick
vekshin1

Answer:

Step-by-step explanation:

36x^3 - 81x

9x(4x^2 - 9)

9x(2x - 3)(2x + 3)

She is right

4 0
2 years ago
It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 househo
BartSMP [9]

Complete Question

It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 households in Iowa City is taken, would you be surprised to find that fewer than 3% of households in the sample recycle their garbage? Use the fact that p-hat has an approximately normal distribution.

Group of answer choices

A I would not be surprised because there are lots of lazy students in Iowa City.

B I would not be surprised because 3% is not that far away from 9%.

C I would be surprised because Iowa City is a very clean community which means lots of people recycle their garbage.

D I would be surprised because if the 9% average is true, the chance of a sample proportion being less than 3% is very small (only 1%). Who cares? It's only garbage!

Answer:

The correct option is D

Step-by-step explanation:

From the question we are told that

    The sample size is  n  = 120

    The  mean of the proportion is  p =  0.09

   

Generally the standard deviation is mathematically represented as

      \sigma  =  \sqrt{\frac{p(1-p)}{n} }

=>   \sigma  =  \sqrt{\frac{0.09(1-0.09)}{120 } }

=>   \sigma  = 0.02612

Generally the chance that fewer than 3%   of households in the sample recycle their garbage is mathematically represented as

    P(X < 0.03) =  P( \frac{X - p}{\sigma}  <  \frac{0.03 -0.09}{0.02612} )

    P(X < 0.03) =  P( Z  < -2.297 )

From the z-table  

     P( Z  < -2.297 ) = 0.01

=> [tex]P(X < 0.03) = 0.01/tex]

=>   [tex]P(X < 0.03) = 1\% /tex]

4 0
3 years ago
I have <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bdx%7D%7Bdt%7D%20%3D%20%20%5Cfrac%7B5%7D%7Bx%7D%20" id="TexFormula1" title=
mojhsa [17]
\bf \cfrac{dx}{dt}=\cfrac{5}{t}\quad ,\quad x(0)=7\to &#10;\begin{cases}&#10;f(t)=0\\&#10;t=7&#10;\end{cases}\\\\&#10;-----------------------------\\\\&#10;\displaystyle \int \cfrac{5}{t}\cdot dt\implies 5\int \cfrac{1}{t}\cdot dt\implies 5ln|t|+C= f(t)&#10;\\\\\\&#10;\textit{now, we know when f(t)=0, t=7}\implies 5ln|7|+C=0&#10;\\\\\\&#10;C=-5ln(7)&#10;\\\\\\&#10;thus\implies \boxed{5ln|t|-5ln(7)=f(t)=x}

notice |7| 7 is positive, so we can simply remove the bars and use 7 by itself

6 0
3 years ago
Can someone please help me it's worth five points
Brilliant_brown [7]

The formula of a volume of a cone:

V=\dfrac{1}{3}Bh=\dfrac{1}{3}\pi r^2h

We have:

r=12cm,\ h=8cm

Substitute:

V=\dfrac{1}{3}\pi\cdot12^2\cdot8=\dfrac{1}{3}\pi\cdot144\cdot8=\pi\cdot48\cdot8=384\pi\ cm^2\approx384\cdot3.14=1205.76\ cm^3\approx1206\ cm^3

Answer: 1206 cm³

7 0
3 years ago
2 1/4 divided by 3 1/2
Elena-2011 [213]

Answer:

9/4 ÷ 7/2

9/4 × 2/7

9/14

plßssssssssssss mark me brianliest

4 0
3 years ago
Other questions:
  • Drag each equation show if it could be a correct first step to solving the equation. 4(3+x)=36.
    12·2 answers
  • In ABC, the measure of sides c is 3.9 cm If DEF is a dilation ABC with a scale factor of 2.5 what is the measure of side f
    5·1 answer
  • How to factor out the greatest common factor in a polynomial?
    13·1 answer
  • Given points A(4,5) and B(-4,11). Find the distance AB to the nearest tenth.
    7·2 answers
  • A box of markers weighed 4 2/5 ounces. If a teacher took out 5/8 of the markers, what is the weight of the markers she took out?
    7·1 answer
  • Bill hikes 8 miles in 3 hours. At this rate. how many miles will he hike after 2 hours?
    10·2 answers
  • Need this to solve these two questions please
    15·1 answer
  • There are 580 students at Alejandro’s school. He surveys a random sample of 60 students and finds that 21 of them regularly brin
    15·1 answer
  • Expand and simplify: (2x + 5y) (3x − 2y)
    8·1 answer
  • A number has three digits. The digit in the hundreds place is the difference of 4 and 2. The digit in tje tens place is the sum
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!