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Vitek1552 [10]
2 years ago
9

What is the simplified value of the expression below?

Mathematics
2 answers:
bagirrra123 [75]2 years ago
7 0
1/2
Is the answer
To the problem
ankoles [38]2 years ago
7 0

Answer:

option C : 1/2

Step-by-step explanation:

\frac{1}{3} \div \frac{2}{3} \\\\\frac{\frac{1}{3}}{\frac{2}{3}}\\\\\frac{1}{3} \times \frac{3}{2} \\\\\frac{1}{2}

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Answer:

Step-by-step explanation:

8 0
2 years ago
Help plz, these questions are very confusing :/
padilas [110]

Answer:

1.

cos ∅=b/h=24/25

:.b=24

h=25

by using Pythagoras law

h²=p²+b²

25²=p²+24²

p²=25²-24²

p=√7²=7

now

sin ∅=P/h=7/25

tan∅=p/b=7/24

2.cos ∅ is your answer

sec∅-sin∅tan∅

1/cos∅-sin²/cos∅

(1-sin²∅)/cos∅

cos²∅/cos∅

cos∅

3.

tan²∅-sec²x

sin²∅/cos²∅-¹/cos²∅

(sin²∅-1)/cos²∅

8 0
2 years ago
Pierce swims 10 laps in a pool in 8 minutes. He spent the same amount of time on each lap. How much time did each lap take him?​
Trava [24]

Answer:

48 sec.

Step-by-step explanation:

8 devided by 10.

4 0
3 years ago
Read 2 more answers
11 The sides of two similar triangle are in a ratio of 5:6. The area of the larger triangle is 108.
Elodia [21]

Answer:

The area of the smaller triangle is 75.

Step-by-step explanation:

Here, the ratio of the sides of the similar triangle are 5 : 6

The area if the larger triangle = 108

let us assume that the area of the smaller triangle = m

By the Theorem:

In two similar triangles, the ratio of the areas of similar triangles is the square of the ratio of their sides.

Similarly, here

[tex](\frac{5}{6}) ^2  = \frac{m}{108}[/tex]

⇒\frac{(5)^2}{(6)^2}   = \frac{m}{108}

or, \frac{25}{36}   = \frac{m}{108}  \implies m = \frac{108 \times 25}{36}  = 75

⇒ m = 75

Hence, the area of the smaller triangle is 75.

6 0
3 years ago
A university found that of its students withdraw without completing the introductory statistics course. Assume that students reg
polet [3.4K]

Answer:

A university found that 30% of its students withdraw without completing the introductory statistics course. Assume that 20 students registered for the course.

a. Compute the probability that 2 or fewer will withdraw (to 4 decimals).

= 0.0355

b. Compute the probability that exactly 4 will withdraw (to 4 decimals).

= 0.1304

c. Compute the probability that more than 3 will withdraw (to 4 decimals).

= 0.8929

d. Compute the expected number of withdrawals.

= 6

Step-by-step explanation:

This is a binomial problem and the formula for binomial is:

P(X = x) = nCx p^{x} q^{n - x}

a) Compute the probability that 2 or fewer will withdraw

First we need to determine, given 2 students from the 20. Which is the probability of those 2 to withdraw and all others to complete the course. This is given by:

P(X = x) = nCx p^{x} q^{n - x}\\P(X = 2) = 20C2(0.3)^2(0.7)^{18}\\P(X = 2) =190 * 0.09 * 0.001628413597\\P(X = 2) = 0.027845872524

P(X = x) = nCx p^{x} q^{n - x}\\P(X = 1) = 20C1(0.3)^1(0.7)^{19}\\P(X = 1) =20 * 0.3 * 0.001139889518\\P(X = 1) = 0.006839337111

P(X = x) = nCx p^{x} q^{n - x}\\P(X = 0) = 20C0(0.3)^0(0.7)^{20}\\P(X = 0) =1 * 1 * 0.000797922662\\P(X = 0) = 0.000797922662

Finally, the probability that 2 or fewer students will withdraw is

P(X = 2) + P(X = 1) + P(X = 0) \\= 0.027845872524 + 0.006839337111 + 0.000797922662\\= 0.035483132297\\= 0.0355

b) Compute the probability that exactly 4 will withdraw.

P(X = x) = nCx p^{x} q^{n - x}\\P(X = 4) = 20C4(0.3)^4(0.7)^{16}\\P(X = 4) = 4845 * 0.0081 * 0.003323293056\\P(X = 4) = 0.130420974373\\P(X = 4) = 0.1304

c) Compute the probability that more than 3 will withdraw

First we will compute the probability that exactly 3 students withdraw, which is given by

P(X = x) = nCx p^{x} q^{n - x}\\P(X = 3) = 20C3(0.3)^3(0.7)^{17}\\P(X = 3) = 1140 * 0.027 * 0.002326305139\\P(X = 3) = 0.071603672205\\P(X = 3) = 0.0716

Then, using a) we have that the probability that 3 or fewer students withdraw is 0.0355+0.0716=0.1071. Therefore the probability that more than 3 will withdraw is 1 - 0.1071=0.8929

d) Compute the expected number of withdrawals.

E(X) = 3/10 * 20 = 6

Expected number of withdrawals is the 30% of 20 which is 6.

5 0
3 years ago
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