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3 years ago

2.) Write the probability as a fraction in simplest form. P (consonant) *

Mathematics

2 answers:

Ugo [173]3 years ago

6 0

Answer:

2/3

Step-by-step explanation:

You have 6 letters, and 4 of them are consonants, so:

4/6 simplify it by 2:

2/3

Orlov [11]3 years ago

3 0

Answer:

1/6

Step-by-step explanation:

$\frac{4}{6} \times \frac{1}{4}$

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How many solutions does this linear system have?

DochEvi [55]

I hope this helps you

6x-4 (x+2)= -10x

6x-4x-8= -10

2x= 2

x= 1

y=1+2=3

4 0

3 years ago

Read 2 more answers

Which value of a would make the following expression completely factored? X^

ololo11 [35]

Answer:

A. 12

Step-by-step explanation:

Selecting B, C, or D would create a difference of perfect squares since each of these numbers are perfect squares. Additional factoring would then be needed.

$x^2-36 = (x+6)(x-6)\\x^2-49 = (x+7)(x-7)\\x^2-81=(x+9)(x-9)$

But selecting 12 gives $x^2-12$ which cannot be factored. It is factored completely.

4 0

4 years ago

Read 2 more answers

Which is the greatest common factor of the expression below?<br> 32a²b2 + 36a²c2 – 16ab3

yKpoI14uk [10]

Answer:

Step-by-step explanation:

32a²b² = 2 * 2*2*2*2 * a² * b²

36a²c² = 2 * 2 * 3 * 3 * a² * c²

16ab³ = 2 * 2 * 2* 2 * a * b³

Greatest common factor = 2*2*a = 4a

32a²b² + 36a²c² - 16ab³ = 4a*(8ab² + 9ac² - 4b³)

7 0

3 years ago

Last school year, the student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors

tino4ka555 [31]

Answer:

$\chi^2 = \frac{(83-90)^2}{90} +\frac{(68-72)^2}{72}+\frac{(85-78)^2}{78}+\frac{(64-60)^2}{60} = 1.66$

And the answer would be:

c. 1.66

Step-by-step explanation:

We need to conduct a chi square test

The statistic to check the hypothesis is given by:

$\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}$

the observed values for this case are:

$Freshemen=83$

$Sophomores=68$

$Juniors = 85$

$Seniors= 64$

The expected values for this case are:

$Fres_E =0.3*300= 90$

$Sop_E =0.24*300= 72$

$Jun_E = 0.26*300 =78$

$Sen_E = 0.20*300= 60$

Then the statistic would be given by:

$\chi^2 = \frac{(83-90)^2}{90} +\frac{(68-72)^2}{72}+\frac{(85-78)^2}{78}+\frac{(64-60)^2}{60} = 1.66$

And the answer would be:

c. 1.66

4 0

4 years ago

Find the value of x.

alex41 [277]

Answer:

x = 3.6

Step-by-step explanation:

If 2 chords of a circle intersect then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

5x = 6 × 3 = 18 ( divide both sides by 5 )

x = 3.6

6 0

2 years ago