All categories

2 years ago

In a class of 30 students, 60% of them do not wear glasses

Mathematics

1 answer:

Vika [28.1K]2 years ago

6 0

Step-by-step explanation:

60 % of 30 student wear glasses i.e

=60% of 30

=60/100×30

=1800/100

=18

:18 students don't wear glasses

now,

40% wear glasses

You might be interested in

1)The base of a triangular prism is a right triangle with a base of 20 feet and a height of 120 inches. The height of the prism

ipn [44]

Answer:

Step-by-step explanation:

i font know what to say to arrange

6 0

2 years ago

A certain car rental location charges a daily fee as well as a mileage charge. On one trip a businessman rented a car for the da

nikklg [1K]

Answer:

$x\approx 267\ miles$

Step-by-step explanation:

<u>Linear Modeling</u>

Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

$f(x)=mx+b$

For the problem at hand, we must pick the adequate variables according to the data provided.

The question states the charge for renting a car is a function of the mileage. It also provides two points from which we can build our model. Let's set the following variables:

c = the charge for renting a car in dollars

x = the distance driven by the businessman in miles

Representing the ordered pair as (x,c), we have the points: (150,79) and (65,63.70). Our model will be expressed as:

$c = mx+b$

We must find the values of m and b with the data provided. Substituting the first point:

$79 = 150m+b$

Substituting the second point:

$63.70 = 65m+b$

Both equations form the following system:

$\left\{\begin{matrix}150m+b=79\\ 65m+b=63.70 \end{matrix}\right.$

Subtracting both equations:

$150m-65m=79-63.70$

Note the variable b was canceled out in the operation, leaving only the variable m to solve. Joining like terms:

$85m=15.3$

Solving:

$m=15.3/85=0.18$

From the first equation

$79 = 150m+b$

Solving for b:

$b=79-150m=79-150(0.18) = 52.$

The model for the problem is:

$c=0.18x+52$

Now we need to calculate how many miles (x) could be driven for c=$100. From the equation above, substitute c=100

$100=0.18x+52$

Solve for x:

$0.18x+52=100$

$0.18x=100-52=48$

$x=48/0.18=266.67$

Rounding to the closest integer:

$\boxed{x\approx 267\ miles}$

7 0

3 years ago

the bases of a frustum of a cone have radii 1 1/3 and 2. The height of the frustum is 2. What were the dimension of the original

Sedbober [7]

One of the major advantage of the two-condition experiment has to do with interpreting the results of the study. Correct scientific methodology does not often allow an investigator to use previously acquired population data when conducting an experiment. For example, in the illustrative problem involving early speaking in children, we used a population mean value of 13.0 months. How do we really know the mean is 13.0 months? Suppose the figures were collected 3 to 5 years before performing the experiment. How do we know that infants haven’t changed over those years? And what about the conditions under which the population data were collected? Were they the same as in the experiment? Isn’t it possible that the people collecting the population data were not as motivated as the experimenter and, hence, were not as careful in collecting the data? Just how were the data collected? By being on hand at the moment that the child spoke the first word? Quite unlikely. The data probably were collected by asking parents when their children first spoke. How accurate, then, is the population mean?

7 0

2 years ago

Read 2 more answers

The circle x2+y2=36 is translated 5 Units left and 4 units up where is the center of the new circle after the translation

Andrej [43]

The general equation of a circle is given by:
(x-a)^2+(x-b)^2=r^2
where:
(a,b) is the center
r is the radius

given the equation:
x^2+y^2=36
it means that the equation is centered at (0,0) with radius of 6 units. Thus a translation of 5 units to the left and 4 units up, will change the new center to
(-5,4)
thus the equation will be:
(x+5)^2+(y-4)^2=36

Answer: (x+5)^2+(y-4)^2=36

6 0

3 years ago

Is 3 1/2 a whole number

Alina [70]

No it isnt. hope this helps

7 0

3 years ago

Read 2 more answers