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frozen [14]
3 years ago
5

1 1

Mathematics
1 answer:
andrey2020 [161]3 years ago
6 0

Answer:

the answer should be 3/10

Step-by-step explanation:

if you look at the photo you can solve it from there

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If x=-1\3 is a zero of a polynomial p(x)=27xcube -axsquare -x+3 then find the value of a
antoniya [11.8K]

Answer:

a = 21

Step-by-step explanation:

If x = h is a zero of a polynomial then f(h) = 0, thus

p(- \frac{1}{3} ) = 27( - \frac{1}{3} )³ - a(- \frac{1}{3} ) - (- \frac{1}{3} ) + 3 = 0, that is

27 (- \frac{1}{27} ) - \frac{1}{9} a + \frac{1}{3} + 3 = 0

- 1 - \frac{1}{9} a + \frac{10}{3} = 0 ( multiply through by 9 to clear the fractions )

- 9 - a + 30 = 0

- a + 21 = 0 ( subtract 21 from both sides )

- a = - 21 ( multiply both sides by - 1 )

a = 21

5 0
3 years ago
LMNO is a parallelogram. If NM = x + 33 and OL = 4x + 9, find the value of x and then find NM and OL.
anyanavicka [17]
Because these are on opposite sides of the parallelogram, x + 33 = 4x + 9.

This gives you x = 8; OL = 41, NM = 41. 
7 0
3 years ago
74% of freshmen entering public high schools in 2006 graduated with their class in 2010. A random sample of 81 freshmen is selec
Assoli18 [71]

Answer: Probability that the proportion of students who graduated is greater than 0.743 is P = 0.4755

Step-by-step explanation:

Given that,

Probability of freshmen entering public high schools in 2006 graduated with their class in 2010, p = 0.74

Random sample of freshman, n = 81

Utilizing central limit theorem,

P(\hat{p}

So,

(P(\hat{p}>0.743) = P(Z>0.743 - \frac{0.74}{\sqrt{\frac{0.74(1-0.74)}{81} }  } )

= P( Z > 0.0616)

= 0.4755 ⇒ probability that the proportion of students who graduated is greater than 0.743.

7 0
3 years ago
Find the Arc Length and Sector Area
gulaghasi [49]

Answer:

Need points

Step-by-step explanation:

Need points

5 0
3 years ago
-p/4=-2<br> Solve the equation
Alex_Xolod [135]

Combine like terms in each member of an equation.

Using the addition or subtraction property, write the equation with all terms containing the unknown in one member and all terms not containing the unknown in the other.

Combine like terms in each member.

Use the multiplication property to remove fractions.

5 0
3 years ago
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