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Marysya12 [62]
1 year ago
13

There are 20 children in the cast of a class play, and 8 of the children are boys. of the boys, 4 have a speaking part in the pl

ay, and of the girls, 8 do not have a speaking part in the play. if a child from the cast of the play is chosen at random, what is the probability that the child has a speaking part?
Mathematics
1 answer:
likoan [24]1 year ago
6 0
The probability that a child with a speaking part is chosen randomly would be 2:5.
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If 2x2 + y2 = 17 then evaluate the second derivative of y with respect to x when x = 2 and y = 3. Round your answer to 2 decimal
Vera_Pavlovna [14]

Answer:

y''=-1.26

Step-by-step explanation:

We are given that 2x^2+y^2=17

We have evaluate the second order derivative of y w.r.t. x when x=2 and y=3.

Differentiate w.r.t x

Then , we get

4x+2yy'=0

2x+yy'=0

yy'=-2x

y'=-\frac{2x}{y}

Again differentiate w.r.t.x

Then , we get

2+(y')^2+yy''=0 (u\cdot v)'=u'v+v'u)

2+(y')^2+yy''=0

Using value of y'

yy''=-2-(-\frac{2x}{y})^2

y''=-\frac{2+(-\frac{2x}{y})^2}{y}

Substitute x=2 and y=3

Then, we get y''=-\frac{2+(\frac{4}{3})^2}{3}

y''=-\frac{18+16}{9\times 3}=-\frac{34}{27}

Hence,y''=-1.26

6 0
2 years ago
Leo's townhouse has a market value of $310,000. The property in Leo's area is assessed at 40% of the market value. The tax rate
miss Akunina [59]
Market value = $310,000

Since market value for tax purposes is 40% of the actual market value, 

Market value for tax assessment = $310,000*40%  = $124,000

Tax rate per $1000 of assessed valuation = $145.10  or 14.51% of the assessed value

Hence tax to be paid by leo = $124000*14.51% = $17992.40
3 0
2 years ago
B, C and D are points on a circle, centre O. AB and AD are tangents to the circle. Angle BCD=x Find an expression for the size o
stealth61 [152]

Answer:

where the point B lie ,first say point B where lie

3 0
2 years ago
What percent of 137.4 is 96?
Neporo4naja [7]
X = 96

100 137.4

137.4x=(100)(96)

137.4x=9600

137.4x/137.4=9600/137.4

x=70%
7 0
2 years ago
The function f(t) represents the cost to connect to the Internet at an online gaming store. It is a function of t, the time in m
dolphi86 [110]

Answer:

<u>The correct answer is D. Any amount of time over an hour and a half would cost $10.</u>

Step-by-step explanation:

f (t), when t is a value between 0 and 30

The cost is US$ 0 for the first 30 minutes

f (t), when t is a value between 30 and 90

The cost is US$ 5 if the connection takes between 30 and 90 minutes

f (t), when t is a value greater than 90

The cost is US$ 10 if the connection takes more than 90 minutes

According to these costs, statements A, B and C are incorrect. The connection doesn't cost US$ 5 per hour like statement A affirms, the cost of the connection isn't US$ 5 per minute after the first 30 minutes free as statement B affirms and neither it costs US$ 10 for every 90 minutes of connection, as statement C affirms. <u>The only one that is correct is D, because any amount of time greater than 90 minutes actually costs US$ 10.</u>

3 0
1 year ago
Read 2 more answers
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