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
kiruha [24]
3 years ago
10

Ernie went to the store and bought 33 apples. He bought three times as many red apples as he bought green, and he bought one-hal

f as many yellow as he did red. How many of each type of apple did he buy?
Mathematics
1 answer:
Ray Of Light [21]3 years ago
3 0
(r is red, g is green and y is yellow)
r+g+y=33
r=3g
2y=r

substitution:
y=33-g-r
y=33-(1/3)2y+2y
y=33-8/3y
11/3y=33
y=33÷(11/3)
y=9

Solve for red and green:

r=2y
r=2×9
r=18

3g=r
3g=18
g=18/3
g=6

double check:
6+18+9=33

answer:
6 green apples, 9 yellow apples and 18 red apples.
You might be interested in
A state administered standardized reading exam is given to eighth grade students. The scores on this exam for all students state
Lorico [155]

Answer:

a=502 +1.28*81=605.68

So the value of height that separates the bottom 90% of data from the top 10% is 605.68.  

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(502,81)  

Where \mu=502 and \sigma=81

We want to find a value a, such that we satisfy this condition:

P(X>a)=0.1   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.9 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=1.28

And if we solve for a we got

a=502 +1.28*81=605.68

So the value of height that separates the bottom 90% of data from the top 10% is 605.68.  

3 0
3 years ago
If f'(x) is (x-4)(4-2x) , what is f(x)?
butalik [34]
We can apply some rules backwards

first
f'(x)=
(x-4)(-2x+4)
-2x^2+12x-16

we know that
f'(rx^n)=rnx^{n-1}
so therefor maybe
-2x^2=rnx^{n-1}
2=n-1
n=3
rn=-2
3r=-2
r=-2/3

one is
\frac{-2}{3}x^3
second part

12x
12x=rnx^{n-1}
x^1, 1=n-1
n=2
rn=12
2r=12
r=6
6x^2 is the second bit

last part
-16
-16x^0=rnx^{n-1}
0=n-1
n=1

rn=-16
1r=-16
r=-16

-16x^1

so therfor f(x)=\frac{-2}{3}x^3+6x^2-16x
3 0
3 years ago
What is half of 4 2/7 divide by 2
uranmaximum [27]
1.07142857143this is the answer i'm sure

3 0
3 years ago
Read 2 more answers
Function: Yes or no<br> {(-4,6),(-3,2),(1,0), (7,6), (8,2)}
LekaFEV [45]

Answer:

No

Step-by-step explanation:

3 0
2 years ago
Solve x + 10 = 3x + 4 *
Mashutka [201]

Answer:

x= 3 hope it helps thanks

4 0
3 years ago
Read 2 more answers
Other questions:
  • There are 1200 students at Sophie’s school. One student’s name will be drawn at random to win a new bike. Hannah and Ethan are S
    7·1 answer
  • Mari and Jen each work 20 hours a week at different jobs. Mari earns twice as much as Jen. Together they earn$480. Write an equa
    10·1 answer
  • 24.6/+4a=9.54 what is a=
    11·2 answers
  • Iready kara is sorting buttons by length for a craft project the line plot shows the length of each button if kara lines up all
    15·1 answer
  • How man inches does the floor water rose in 1 day ? Answer as a fraction or round you decimal to the hundredths place
    13·1 answer
  • The sum of two numbers is 16. their difference is 1. what is the product of the two numbers
    7·1 answer
  • Given 3(x-2)=6, then x is equal to:<br> Select one:<br> A.5<br> b.4<br> c. 2<br> d.6
    5·1 answer
  • Apply Distributive Property and Simplify
    9·2 answers
  • )) Greg has $50,000 in a savings account that earns 5% interest per year. The interest is
    12·1 answer
  • Sergei says that 10% of a number will always be less than 20% of any other number.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!