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
Jlenok [28]
2 years ago
8

There are 39 people on a city bus. The ratio of adults to children is 10 : 3. At the next stop, 3 adults get off the bus. What i

s the new ratio of adults to children on the bus?
A 3 : 1

B 9 : 2

C 7 : 3

D 12 : 1​

Mathematics
1 answer:
svp [43]2 years ago
5 0

Answer:

<u>3:1</u>

Step-by-step explanation:

Looking at the numbers

39 and a ratio of 10:3 kinda scream that there are 30 adults and  9 children to me, but when 3 adults get off, that is only 36 people.

this means,

27 adults,

and

9 children

so if it doesn't look obvious enough, 9 x 3 is 27, so that means that 3: 1 must be our ratio because the 3 in  3:1 multiplied by 9 is 27 which is the number of adults, and the 1 in children multiplied by 9 is 9!

so there you have it, 27/9 = 3

and

                                    9/9=1

so

<u>3: 1</u>

You might be interested in
2d + 7 = 9<br><br>please help me!<br><br><br><br> ​
jasenka [17]

Answer:

d=1

Step-by-step explanation:

8 0
3 years ago
Riley started selling bracelets. During the first month she sold 400 bracelets at $10 each. She tried raising the price, but for
love history [14]
I would just divide 400 and 10 and then try to come up with the salary
8 0
3 years ago
The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than av
34kurt

Answer:

Probability that the 50 randomly selected laptops will have a mean replacement time of 3.1 years or less is 0.0092.

Yes. The probability of this data is unlikely to have occurred by chance alone.

Step-by-step explanation:

We are given that the replacement times for the model laptop of concern are normally distributed with a mean of 3.3 years and a standard deviation of 0.6 years.

He then randomly selects records on 50 laptops sold in the past and finds that the mean replacement time is 3.1 years.

<em>Let M = sample mean replacement time</em>

The z-score probability distribution for sample mean is given by;

            Z = \frac{ M-\mu}{\frac{\sigma}{\sqrt{n} } }} }  ~ N(0,1)

where, \mu = population mean replacement time = 3.3 years

            \sigma = standard deviation = 0.6 years

            n = sample of laptops = 50

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the 50 randomly selected laptops will have a mean replacement time of 3.1 years or less is given by = P(M \leq 3.1 years)

 P(M \leq 3.1 years) = P( \frac{ M-\mu}{\frac{\sigma}{\sqrt{n} } }} } \leq \frac{ 3.1-3.3}{\frac{0.6}{\sqrt{50} } }} } ) = P(Z \leq -2.357) = 1 - P(Z \leq 2.357)

                                                           = 1 - 0.99078 = <u>0.0092</u>  or  0.92%          

<em>So, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 2.357 in the z table which will lie between x = 2.35 and x = 2.36 which has an area of 0.99078.</em>

Hence, the required probability is 0.0092 or 0.92%.

Now, based on the result above; <u>Yes, the computer store has been given laptops of lower than average quality</u> because the probability of this data is unlikely to have occurred by chance alone as the probability of happening the given event is very low as 0.92%.

8 0
3 years ago
2y to the 2nd power +11y +14
goldfiish [28.3K]

2y^2 +11y+14 =(2y+7)(y+2)

Step-by-step explanation:

Given

2y^2 +11y+14

=2y^2 +(7+4)y+14

=2y^2+7y+4y+14

= y(2y+7) + 2(2y+7)

=(2y+7)(y+2)

3 0
3 years ago
Does anyone know how to do these?
sladkih [1.3K]
7) • A straight line is 180 deg
• So B = 180-138 = 42 degrees
• Isosceles triangles have equal angles on the equal sides
• So G = 42 degrees
• We know a triangle has 180 degrees
• So 180 - 42 - 42 = 96 degrees for A

8) • Use similar logic to above
• TCB = 180 - 87 = 2x
• TCB = 46.5 degrees
• ACB = 180 - 65 = 2x
• ACB = 57.5 degrees
• TCB + ACB = ACT = 104 degrees
4 0
2 years ago
Other questions:
  • A point at (-5,7) in the standard (x,y) coordinate
    12·1 answer
  • What would I use to solve this question and what did she do wrong
    15·1 answer
  • Carl cut two triangles boards from the corners of a rectangular board as shown
    11·2 answers
  • In the fraction below, which number is the numerator?
    14·1 answer
  • What are two consecutive numbers whose cubes differ by 169
    11·1 answer
  • Y = -5/3x + 3 <br> y= 1/3x - 3<br><br> And graphing it
    13·1 answer
  • e is 150% more than d . what is the ratio d:e in its simplest form? what is the ratio e:d in the form 1::n​
    6·1 answer
  • I need help asapppppppppppppp!!!! solve for x
    9·2 answers
  • Katelyn went to the store and brought 2 shirts that were orginally $12 each, but got a 15% discount off each shir. If she has to
    13·1 answer
  • Help!! I'll give points if anybody can answer these for me!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!