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
Dvinal [7]
3 years ago
11

the accompanying diagram shows that the length of a pencil from its eraser to its tip is 7 units and that eraser is 1.5 units wi

de the picture was placed on a photocopy machine and reduced to 66 2/3%. what is the new size of the pencil

Mathematics
1 answer:
DochEvi [55]3 years ago
6 0

Answer:

width = 1 units

Length= 4 2/3 units

Step-by-step explanation:

Hi, to answer this question, first, we have to multiply the original width of the pencil by the percent decrease in decimal form (divided by 100).

1.5 x ([66 2/3] /100) =1.5 ([2/3]/100) =1 unit

Same process for the length:

7 x ([66 2/3] /100) =7 ([2/3]/100)= 4 2/3 unit

Feel free to ask for more if needed or if you did not understand something.  

You might be interested in
A home’s value increases at an average rate of 5.5% each year. The current value is $120,000. What function can be used to find
notsponge [240]
So we need to cover 5.5% into a decimal. 

0.055 = 5.5%

The house value is 120,000.
So 

(1.055x) * (120,000)= 

So

f(x)=1.055x * 120,000
7 0
3 years ago
Read 2 more answers
For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find the standard deviation.
Yakvenalex [24]

Answer:

Sd(X) =\sqrt{1.2}=1.095

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=5, p=0.4)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

The mean for the binomial distribution is given by:

E(X) =np=5*0.4=2

And the variance is given by:

Var(X) = np(1-p) =5*0.4*(1-0.4)=1.2

And the deviation is just the square root of the variance so we got:

Sd(X) =\sqrt{1.2}=1.095

7 0
3 years ago
Find the length of the missing side in the figure below. a = _______ cm.
WITCHER [35]

Answer:

\frac{2 \sqrt{177} }{5}

or

5.32cm correct to 2 decimal places

Step-by-step explanation:

This is a right angled triangle from what I know so we have to apply pythagoras theorem.

{7.1}^{2}  =  {a}^{2}  +  {4.7}^{2}

we need to rearrange this to find a²

{a}^{2}  =  {7.1}^{2}  -  {4.7}^{2}

a =  \sqrt{ \frac{708}{25} }

This can either be written as a fraction or decimal.

a =  \frac{2 \sqrt{177} }{5}

OR

a = 5.32

correct to 2 decimal places

5 0
2 years ago
Solve for x 5 x − 9 = 3 x + 3
Musya8 [376]

5x-9 = 3x+3

2x-9 = 3

2x = 12

x= 6

plz mark branliest, hopoe this helps :)

7 0
3 years ago
"Calculate the volume of the cylinder if the diameter is 42 cm and height of cylinder is 8 cm"
olga55 [171]
To find the answer of this problem you need the formula for a cylinder.

V= pi* r^2 * h   just plug in your numbers and you have the answer.

You also need to remember that diameter is just twice the radius.
6 0
3 years ago
Other questions:
  • You use 4 gallons of water on 14 plants in your garden.At this rate, how much water will it take to water 35 plants?
    6·2 answers
  • Your dog eats 7/8 lb of food in 4 meals , how many meals will it take your dog to eat 1 lb of food
    14·1 answer
  • A man 6 ft tall walks at a rate of 6 ft/sec away from a lamppost that is 24 ft high. At what rate is the length of his shadow ch
    15·1 answer
  • A triangle has a base of 10" and an altitude of 14". What is the area?
    7·1 answer
  • What are some common factors of 25 and 250?
    5·2 answers
  • This year Linda watched 60 movies. She thought that 36 of them were very good. Of the movies she watched, what percentage did sh
    13·1 answer
  • PLEEEEASE HELP ME!!
    14·2 answers
  • Number 5 am stuck pls help
    14·1 answer
  • A taxi driver charges a flat rate of $3.25 plus an additional $0.75 per mile. If Amanda has, at most, $70 for a cab ride, how fa
    7·1 answer
  • Find the center and radius of the circle
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!