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3 years ago

Which of the following statements is true?

Mathematics

2 answers:

N76 [4]3 years ago

6 0

Every square is a rhombus

sashaice [31]3 years ago

5 0

Answer:

every square is a rhombus

Step-by-step explanation:

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g red bell pepper seeds germinates 85% of the time. planted 25 seeds. What is the probability that 20 or more germinate

bixtya [17]

Answer:

$P(X\geq 20)= P(X=20)+P(X=21)+P(X=22)+P(X=23)+P(X=24)+P(X=25)$

And replacing using the mass function we got:

$P(X=20)=(25C20)(0.85)^{20} (1-0.85)^{25-20}=0.156$

$P(X=21)=(25C21)(0.85)^{21} (1-0.85)^{25-21}=0.211$

$P(X=22)=(25C22)(0.85)^{22} (1-0.85)^{25-22}=0.217$

$P(X=23)=(25C23)(0.85)^{23} (1-0.85)^{25-23}=0.161$

$P(X=24)=(25C24)(0.85)^{24} (1-0.85)^{25-24}=0.0759$

$P(X=25)=(25C25)(0.85)^{25} (1-0.85)^{25-25}=0.0172$

And adding the values we got:

$P(X\geq 20) = 0.8381$

Step-by-step explanation:

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

$X \sim Binom(n=25, p=0.85)$

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:

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

We want to find the following probability:

$P(X\geq 20)= P(X=20)+P(X=21)+P(X=22)+P(X=23)+P(X=24)+P(X=25)$

And replacing using the mass function we got:

$P(X=20)=(25C20)(0.85)^{20} (1-0.85)^{25-20}=0.156$

$P(X=21)=(25C21)(0.85)^{21} (1-0.85)^{25-21}=0.211$

$P(X=22)=(25C22)(0.85)^{22} (1-0.85)^{25-22}=0.217$

$P(X=23)=(25C23)(0.85)^{23} (1-0.85)^{25-23}=0.161$

$P(X=24)=(25C24)(0.85)^{24} (1-0.85)^{25-24}=0.0759$

$P(X=25)=(25C25)(0.85)^{25} (1-0.85)^{25-25}=0.0172$

And adding the values we got:

$P(X\geq 20) = 0.8381$

7 0

4 years ago

Slope of (8,1) and (8,2)

mr_godi [17]

It is a undefined slope

7 0

3 years ago

Which is in an equation of the line through (0,0) and (-8,-5)?

slava [35]

To finde the equation of the line troughh the points (0;0) and (-8;-5) first you must find the slope of the line. You have to use the next formula:

$m=\frac{y2-y1}{x2-x1}$

Replacing the points in the previous formula

$m=\frac{-5-0}{-8-0}=\frac{5}{8}$

As the line passes trough the origin of coordinates (point (0;0)) the equation is:

$y=\frac{5}{8}x$

So the answer is y= 5/8 x (option B)

6 0

1 year ago

Find the distance between the two points. Enter the number that goes beneath he radical symbol. (PICTURE ABOVE]

Alex17521 [72]

According to the Pythagorean theorem:

a² + b² = c²

a = 4

b = 1

c = ?

4² + 1² = c²

c² = 16 + 1

c² = 17

c = √17

6 0

3 years ago

A spinner has 3 red spaces, 5 white spaces, and 1 black space. If the spinner is

Pie

Answer:

$\frac{2}{3}$

Step-by-step explanation:

If we have 3 red spaces, 5 white spaces, and one blank space, there are a total of 9 spaces.

Since there are 3 red spaces, there is a $\frac{3}{9} = \frac{1}{3}$ chance of getting a red. However, the question asks the probability of not getting a red, so the chances of not getting a red are $1 -\frac{1}{3} = \frac{2}{3}$ .

Hope this helped!

3 0

3 years ago