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Blababa [14]
3 years ago
9

Solve 5× - 4 - × = 0 what is the answer

Mathematics
2 answers:
astraxan [27]3 years ago
7 0

Answer:

x = 1

Step-by-step explanation:

5x - 4 - x = 0

add 4 to both sides 5x - x = 4

simplify 4x = 4

divide both sides by 4 to get x = 1

Natasha2012 [34]3 years ago
5 0

Answer:

x = 1

Step-by-step explanation:

Add 4 from both sides which you add to the zero. Then, combine like terms, 5x - 1x which is 4x. Divide 4 from both sides and it equals 1.

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3 years ago
Parallelogram ABCD has diagonal segments AC and BD that intersect at E. if BE is ( x + 8) and ED is (5 x), find the length of BD
Virty [35]

Answer:

BD = 20 units

Step-by-step explanation:

Given that,

Parallelogram ABCD has diagonal segments AC and BD that intersect at E.

BE = (x+8) and ED = 5x

We need to find the length of BD.

BD = BE + ED ...(1)

We know that the diagonals of a parallelogram bisects each other. It means,

BE = ED

x+8 = 5x

8 = 5x - x

8 = 4x

x = 2

BE = (x+8)

= (2+8)

= 10

ED = 5x

= 5(2)

= 10

Put the values in equation (1).

BD = 10 + 10

= 20 units

Hence, the length of BD is 20 units.

7 0
3 years ago
Uma colônia de bactérias duplica de tamanho a cada dois dias. Começando com apenas um representante, quantos membros terá a colô
yKpoI14uk [10]

Answer:

Espero que isto ajude!

Step-by-step explanation:

q  duplica  logo a razão q =2

1 hora = 60 minutos

4 hs *  60 min = 240 minutos ou 240 : 6    = 40  vezes   6 minutos

Nota >  240 minutos tem 40 * 6 minutos

n = 40

a1 = 6 min  = 3

a2 = 12 min = 3 * 2 = 6

q3 = 18 min  =  6  *2  =12

an = a1 * q^n-1

a40  = 3 * 2^40-1

a40 = 3 * 2^39

a40  = 3 * 5497559  =16492677 >>>>>

7 0
3 years ago
I'm going to cry please explain if ur good at math
Anton [14]

Answer:

In the triangular prism calculator you can easily find out the volume of that solid. A general formula is volume = length * base_area; the one parameter you always need to have given is the prism length, and there are four ways to calculate the base - triangle area. Our triangular prism calculator has all of them implemented, isn't it awesome?

The specific formulas look as follows:

Length * Triangular base area given triangle base and height

It's this well-known formula mentioned before:

volume = length * 0.5 * b * h

Length * Triangular base area given three sides (SSS)

If you know the lengths of all sides, use the Heron's formula to find the area of triangular base:

volume = length * 0.25 * √( (a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c) )

Length * Triangular base area given two sides and the angle between them (SAS)

You can calculate area of a triangle easily from trigonometry:

volume = length * 0.5 * a * b * sin(γ)

Length * Triangular base area given two angles and a side between them (ASA)

You can calculate that using trigonometry:

volume = = length * a² * sin(β) * sin(γ) / (2 * sin(β + γ))

Step-by-step explanation:

3 0
3 years ago
A simple random sample of size equals 49 is obtained from a population with mu equals 88 and sigma equals 14. ​(a) Describe the
Gnoma [55]

Answer:

a) \bar X \sim N(88,\frac{14}{\sqrt{49}}=2)  

b) P(\bar X >91.2)=1-P(\bar X

Step-by-step explanation:

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".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

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

X \sim N(\mu=88,\sigma=14)  

And let \bar X represent the sample mean, by the central limit theorem, the distribution for the sample mean is given by:  

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})  

​(a) Describe the sampling distribution of x overbar.

\bar X \sim N(88,\frac{14}{\sqrt{49}}=2)  

(b) What is Upper P (x overbar greater than 91.2 )​

First we can to find the z score for the value of 91.2. And in order to do this we need to apply the formula for the z score given by:

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}  

If we apply this formula to our probability we got this:  

z=\frac{91.2-88}{\frac{14}{\sqrt{49}}}=1.6

And we want to find this probability:

P(\bar X >91.2)=1-P(\bar X

On this last step we use the complement rule.

3 0
3 years ago
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