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3 years ago

Find the measure of an angle which is 14 degree less than three times its complement. plzzz answer

Mathematics

1 answer:

BlackZzzverrR [31]3 years ago

7 0

Angle: x
complement: 90-x

3x=90-x-14
4x=76
x = 19
90-x= 71

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What kind of decimal is an irrational number give an example

Nana76 [90]

Answer:

An irrational decimal is a decimal that cannot be written in fraction form

Ex: Pi or any decimal that keeps going and doesn't repeat

Step-by-step explanation:

I would give you more examples but they are all really long numbers and go on forever.

3 0

2 years ago

Read 2 more answers

ABC is the middle line of MN in an equilateral triangle. If AB = 8 cm, then find the perimeter MBN.

qaws [65]

Answer:

the answer is 12

Step-by-step explanation:

since the triangle is equilateral meaning all side of ABC is equal to each other AB= BC = AC= 8cm and MN is the middle line that divides AB and BC by two

thus, MB =BN= 4 cm. MN is the middle line thus will also be equal to the half of AC meaning MN=AC/2= 4cm. and perimeter is MBN = MN+MB+BN= 4cm+4cm+4cm =12cm

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2 years ago

A water filter has the shape of an inverted right circular cone with base radius 3 meters and height 9 meters. water is being pu

tekilochka [14]

The volume of a cone is
V = (1/3)πr³
We are given with radius and the height of cone, so we can solve for the radius as function of water level using ratio and proportion
3/9 = r/h
r = h/3
Substituting
V = πh³/81
Taking the derivative
dV/dt = πh²/27 dh/dt
Solving for dh/dt given
dV/dt = 10 m³/s
and
h = 3 m
dh/dt = 9.55 m/s

8 0

3 years ago

Read 2 more answers

Find the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one

oksano4ka [1.4K]

Answer:

$P(x \geq 6)=P(X=6)+P(X=7)$

And we can find the individual probabilities:

$P(X=6)=(7C6)(0.91)^6 (1-0.91)^{7-6}=0.358$

$P(X=7)=(7C7)(0.91)^7 (1-0.91)^{7-7}=0.517$

And replacing we got:

$P(x \geq 6)=P(X=6)+P(X=7)= 0.358+0.517=0.875$

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:

$X \sim Binom(n=7, p=1-0.09=0.91)$

The probability associated to a failure would be p =1-0.09 = 0.91

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:

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

And we want to find this probability:

$P(x \geq 6)=P(X=6)+P(X=7)$

And we can find the individual probabilities:

$P(X=6)=(7C6)(0.91)^6 (1-0.91)^{7-6}=0.358$

$P(X=7)=(7C7)(0.91)^7 (1-0.91)^{7-7}=0.517$

And replacing we got:

$P(x \geq 6)=P(X=6)+P(X=7)= 0.358+0.517=0.875$

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2 years ago

Write the equation of the circle with center (0,0) and (3,6)

ruslelena [56]

Ya I cant help you :/

7 0

2 years ago