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Keith_Richards [23]

3 years ago

10

What is the length of Line segment S R?

1 answer:

tangare [24]3 years ago

6 0

Using Pythagorean theorem.
16^2 + (RT)^2 = 20^2
256 + (RT)^2 = 400
(RT)^2 = 144
RT = 12

Using altitude theorem to find ST:
16/12= 12/ST
16ST = 144
ST = 9

Using Pythagorean theorem again:

12^2 + 9^2 = SR^2
144 + 81 = SR^2
225 = SR^2
SR= 15

Final answer: SR= 15

Hope this helps!

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Pls help this is urgent

netineya [11]

Answer:

Step-by-step explanation:

In a square, each angle is 90.

11x - 32 = 90

Add 32 to both sides

11x = 90 +32

11x = 122

x = 122/11

x = $11\frac{1}{11}$

5 0

2 years ago

It is known that 10% of the 9-year old children in a town have three siblings. Fifteen 9-year old children are selected at rando

inn [45]

Using the binomial distribution, it is found that there is a 0.0555 = 5.55% probability that more than 3 of these selected children have three siblings.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem, for the parameters, we consider that:

10% of the 9-year old children in a town have three siblings, hence p = 0.1.

Fifteen 9-year old children are selected at random, hence n = 15.

The probability that more than 3 of these selected children have three siblings is given by:

$P(X > 3) = 1 - P(X \leq 3)$

In which:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

Then:

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

$P(X = 0) = C_{15,0}.(0.1)^{0}.(0.9)^{15} = 0.2059$

$P(X = 1) = C_{15,1}.(0.1)^{1}.(0.9)^{14} = 0.3432$

$P(X = 2) = C_{15,2}.(0.1)^{2}.(0.9)^{13} = 0.2669$

$P(X = 3) = C_{15,3}.(0.1)^{3}.(0.9)^{12} = 0.1285$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.2059 + 0.3432 + 0.2669 + 0.1285 = 0.9445$

P(X > 3) = 1 - 0.9445 = 0.0555

0.0555 = 5.55% probability that more than 3 of these selected children have three siblings.

More can be learned about the binomial distribution at brainly.com/question/24863377

5 0

2 years ago

A Microgates Industries bond has a 10 percent coupon rate and a $1,000 face value. Interest is paid semiannually, and the bond h

Usimov [2.4K]

Answer:

a. $849.45

Step-by-step explanation:

In the above question, we are given the following information

Coupon rate = 10%

Face value = 1000

Maturity = n = 20 years

t = number of periods = compounded semi annually = 2

Percent yield = 12% = 0.12

Bond Value formula =

C/t × ([1 -( 1/ 1 + r/t)-^nt ÷] r/t) +( F/ (1 + r/t)^nt)

C = coupon rate × face value = 10% × 1000 = 100

Bond value:

= 100/2 × ( [1 - (1 /1 + 0.12/2)^-20×2]÷ 0.12/2)+ (1000/( 1 + 0.12/2)^20×2

= 50 × ( [1 - (1 /1 + 0.06) ^40] ÷ 0.06) + ( 1000/ (1 + 0.06) ^40

= 50 × ( [1 - (1/ (1.06) ^40] ÷ 0.06 ) + (1000/(1.06)^40)

= 50 × 15.046296872 + 97.222187709

= $849.45

Bond value = $849.45

8 0

3 years ago

Identify whether or not each pair of terms can be combined to so oily the expression (3x + 1) + (2x -5)

eimsori [14]

Answer:

3x and 2x can be combined bc it has ex at the end.

1 and 2x cannot be combined bc 1 doesn't have an x.

1 and -5 can be combined

6 0

2 years ago

Answer for<br> -4 (-x + 2) = 2 (3x - 7)

Lana71 [14]

Step-by-step explanation:

-4 (-x + 2) = 2 (3x - 7)

2x-4=3x-7

x=3

5 0

3 years ago

Read 2 more answers