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3 years ago

√131 is between 11 and 12? true or false

Mathematics

2 answers:

guajiro [1.7K]3 years ago

6 0

True
11 is √121
12 is √144
So √131 is in between 11 and 12

kirza4 [7]3 years ago

4 0

Answer:

True

Step-by-step explanation:

$11^2=121\\12^2=144\\121$

Hence, $\sqrt{131}$ is in between 11 and 12

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A pile of earth removed from an excavation is a cone measuring 6ft high and 30ft across its base. How many trips will it take to

nignag [31]

Answer: 14

Step-by-step explanation:

Given

Excavation cone measures

height $h=6\ ft$

Diameter $d=30\ ft$

Truck can dump $125\ ft^3$ at a time

The volume of a cone is

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Putting values

$\Rightarrow V=\dfrac{1}{3}\times \pi\times 15^2\times 6\\\Rightarrow V=1413.9\approx 1414\ ft^3$

No of trips(N) required to accumulate this much volume is given by

$\Rightarrow N=\dfrac{1414}{125}=13.3\approx 14$

Therefore, 14 trips are necessary to accumulate a cone of volume $1414\ ft^3$

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3 years ago

Assume that when adults with smartphones are randomlyâ€‹ selected, 63â€‹% use them in meetings or classes. If 7 adult smartphone

nlexa [21]

Answer:

5.78% probability that exactly 2 of them use their smartphones in meetings or classes.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they use their smarthphone in meetings or classes, or they do not. The probability of an adult using their smartphone on meetings or classes is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

63% use them in meetings or classes.

This means that $p = 0.63$

7 adult smartphone users are randomly selected

This means that $n = 7$

Find the probability that exactly 2 of them use their smartphones in meetings or classes.

This is P(X = 2).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{7,2}.(0.63)^{2}.(0.37)^{5} = 0.0578$

5.78% probability that exactly 2 of them use their smartphones in meetings or classes.

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3 years ago

A function with a graph that is not a straight line is nonlinear. <br><br> True or False

Over [174]

Answer: true

Step-by-step explanation:

But it isn't a linear functionA function with a constant rate of change and a straight line graph., because it doesn't follow a straight line. Any function that isn't linear is called a nonlinear function.

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2 years ago

A car is moving with an initial velocity of 10 mph accelerates at the rate of a(t)=2.5t mph per second for 5 seconds. How fast i

Rom4ik [11]

Answer:

The car is going up at a speed of 22.5 mph

Step-by-step explanation:

In this question, we are asked to calculate the speed of a moving car which started moving at an initial velocity for a specific period of time.

To calculate this, we use one of the basic equations of motion;

v = u + at

Where v is the final velocity, u is the initial velocity and t is the time

From the question, we can identify the parameters as follows;

v = ?

u = 10mph

a = 2.5t mph per second for 5 seconds.

Hence a here would be 2.5 * 5 = 12.5

Now, let’s put these values in the equation

v = 10 + 12.5

v = 22.5 mph

3 0

3 years ago

Read 2 more answers

Help me PLEASEEEEEEEEEEEEE

Stella [2.4K]

120 square centimeters

5 0

3 years ago