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3 years ago

One-half the square of b ?

Mathematics

2 answers:

Ymorist [56]3 years ago

7 0

Answer:1/2b^2

Step-by-step explanation: The square is b^2?

mina [271]3 years ago

7 0

Answer:

½b²

Step-by-step explanation:

The "square of" something means that you are raising that term to its second power.

I am joyous to assist you anytime.

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Suppose you want to estimate the proportion of traditional college students on your campus who own their own car. From research

Lapatulllka [165]

Answer:

2,655 students

Step-by-step explanation:

The z-score for a 99% confidence interval is z = 2.576

The standard error for a proportion p is:

$SE = z*\sqrt{\frac{p*(1-p)}{n} }$

For a proportion of p =0.20, in order to ensure a standard error of 0.02, the sample size 'n' must be:

$0.02 = 2.576*\sqrt{\frac{0.2*(1-0.2)}{n}}\\n=2,654.31$

Rounding up to the next whole student, the sample size needed is 2,655 students.

5 0

3 years ago

Find the tangent plane to the given surface of f(x,y)=6- 6/5 x-y at the point (5, -1, 1). Make sure tat your final answer for th

HACTEHA [7]

Answer:

Required equation of tangent plane is $z=\frac{6}{5}(x-5y-11)$ .

Step-by-step explanation:

Given surface function is,

$f(x,y)=6-\frac{6}{5}(x-y)$

To find tangent plane at the point (5,-1,1).

We know equation of tangent plane at the point $(x_0,y_0,z_0)[/tex] is,

$z=f(x_0,y_0)+f_x(x_0,y_0)(x-x_0)+f_y(x_0,y_0)(y-y_0)\hfill (1)$

So that,

$f(x_0,y_0)=6-\frac{6}{5}(5+1)=-\frac{6}{5}$

$f_x=-\frac{6}{5}y\implies f_x(5,-1,1)=\frac{6}{5}$

$f_y=-\frac{6}{5}x\implies f_y(5,-1,1)=-6$

Substitute all these values in (1) we get,

$z=\frac{6}{5}(x-5)-6(y+1)-\frac{6}{5}$

$\therefore z=\frac{6}{5}(x-5y-11)$

Which is the required euation of tangent plane.

4 0

3 years ago

In a game called Taxation and Evasion, a player rolls a pair of dice. If, on any turn, the sum is 7, 11, or 12, the player gets

AnnZ [28]

Answer:

$Probability = \frac{243}{1024}$

Step-by-step explanation:

Given

$Sum = \{7, 11, 12\}$

$Rolls = 5$

Required

Probability of not getting audited

If a pair of dice is rolled, the following are the observations of the sum

$Outcomes = 36$

$Sum\ of\ 7 = 6$

$Sum\ of\ 11 = 2$

$Sum\ of\ 12 = 1$

So, in a single roll; The probability of getting audited is:

$p= \frac{1 + 2 + 6}{36}$

$p= \frac{9}{36}$

$p= \frac{1}{4}$

The probability of not getting audited in a single roll is:

$q = 1 - p$ --- Complement rule

$q = 1 - \frac{1}{4}$

Take LCM

$q = \frac{4 - 1}{4}$

$q = \frac{3}{4}$

The probability of not getting audited in 5 rolls is:

$Probability = q^5$

$Probability = (\frac{3}{4})^5$

$Probability = \frac{3^5}{4^5}$

$Probability = \frac{243}{1024}$

7 0

3 years ago

X^2-7x-34=10<br><br> Please help me answer this question thank you

elena-s [515]

Answer: x = 4,11

Step-by-step explanation:

x^2 - 7x - 34 - 10 = 0

x^2 - 7x - 44 = 0

Factorise it

x^2 - 11x - 4x - 44 = 0

x ( x - 11 ) - 4 ( x - 11 ) = 0

(x-4)(x-11) = 0

x = 4,11

6 0

2 years ago

Read 2 more answers

your class sponsors a benefit concert and the tickets at $8 each.Jordan sells 12 tickets,Andy 16,Morgan 17,and Pat 13.Compute th

Irina18 [472]

Alright, so we have tickets for 8 dollars. The number of tickets can represent x, and the money totaled is 8x. x=16+17+13=46, so we can substitute that in to get 8*46 for the total revenue=368 dollars

8 0

3 years ago