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2 years ago

Easy: look at the picture in this question and please answer it!

Mathematics

1 answer:

Mice21 [21]2 years ago

3 0

Answer: B) 70.50

Step-by-step explanation: john is buying 3 tickets for each of 2 movies total : 6 tickets each ticket costs 11.75

so 11.75*6

= 70.50

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If the diameter of circle O is 20 and CE = 4, then determine the length of AB. Show how you arrived at your answer.

Aneli [31]

Answer: Length of AB is 16 cm

Step-by-step explanation:

Given: Diameter of a circle is 20 cm and CE = 4 cm

Now as shown in figure AO, BO, CO are radii

$\text { Radius } =\dfrac{\text {Diameter}}{2} = \dfrac{20}{2} = 10 cm$

Therefore

AO=BO=CO= 10 cm

Now

$OE = CO- CE \Rightarrow OE= 10 -4 = 6 cm$

Now in Δ OEB

∠OEB =90°

Therefore by Pythagoras theorem : In a right angle triangle the square of hypotenuse is equal to the sum of square of other two sides.

So we have

$BO^2=BE^2+EO^2\\\\\Rightarrow 10^2= BE^2 +6^2\\\\\Rightarrow BE^2= 100-36\\\\\Rightarrow BE^2 = 64 \\\\\Rightarrow BE= 8 cm$

Now as we know perpendicular to the chord from the center of a circle bisect the chord.

Therefore

$AB= 2\times BE = 2\times 8=16 cm$

Hence , the length of AB is 16 cm .

8 0

3 years ago

Which statement is true about the measures of the interior angles of a triangle?

stellarik [79]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Find the x- and y-intercepts of the line x - 3y= -9

forsale [732]

Answer:

Step-by-step explanation:

To find the intercepts, that is where the line crosses the x and y axes

• Let x = 0, in the equation for y-intercept

• Let y = 0, in the equation for x- intercept

x = 0 : - 3y = - 9 ⇒ y = 3 ⇒ (0, 3) ← y- intercept

y = 0 : x = - 9 ⇒ (- 9, 0 )← x- intercept

3 0

3 years ago

Read 2 more answers

Binomial Probability

ASHA 777 [7]

Answer:

4.39% theoretical probability of this happening

Step-by-step explanation:

For each coin, there are only two possible outcomes. Either it lands on heads, or it lands on tails. The probability of a coin landing on heads is independent of other coins. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

Theoretically, a fair coin

Equally as likely to land on heads or tails, so $p = \frac{1}{2} = 0.5$

10 coins:

This means that $n = 10$

What is the theoretical probability of this happening?

This is P(X = 2).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{10,2}.(0.5)^{2}.(0.5)^{8} = 0.0439$

4.39% theoretical probability of this happening

6 0

4 years ago

A function f has derivatives of all orders for all real numbers, x. Assume f(2) = −3, f ′(2) = 5, f ″(2) = 3 and the third deriv

nadezda [96]

The Taylor polynomial would be

$T_3(x)=f(2)+f'(2)(x-2)+\dfrac{f''(2)}2(x-2)^2+\dfrac{f'''(2)}6(x-2)^3$

$T_3(x)=-3+5(x-2)+\dfrac32(x-2)^2-\dfrac43(x-2)^3$

Then

$f(1.5)\approx T_3(1.5)=-\dfrac{119}{24}\approx-4.96$

6 0

3 years ago