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Anettt [7]
3 years ago
5

What is the length of PQ? 3 units 4 units 6 units 7 units

Mathematics
2 answers:
Naddik [55]3 years ago
4 0
 length of PQ = <span> length of SR = 4

answer is </span><span>4 units</span>
gulaghasi [49]3 years ago
4 0

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

In Δ TSR,

TR= 3

SR= 4

∠STR = 66°

So, we will first congruent the two triangle i.e.

Consider ΔPTQ and ΔTSR,

PT= TR = 3 (∵ Radii of circle )

∠PTQ= ∠STR = 66° (∵ Vertically opposite angles are equal )

TS= QT = 3 ( ∵ Radii of circle )

∴ ΔPTQ ≅  ΔTSR ( By SAS congruence )

So, by CPCT( corresponding parts of congruent triangle ),

PQ= SR = 4

Hence, PQ =4

Therefore, Second option is correct.

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Assume that when an adult is randomly​ selected, the probability that they do not require vision correction is 23​%. If 6 adults
KiRa [710]

Answer:

 P(X = 2) = 0.27894

Step-by-step explanation:

Given:

- The probability that no vision correction is required p = 0.23

- No. adults are randomly selected n = 6

Find:

- P ( Exactly 2 dont require vision correction)

Solution:

- We will declare a random variable X is the umber of adults out of 6 that do  not require vision correction. X follows a Binomial distribution:

                                    X~ B ( 6 , 0.23 )

- The probability required is P ( X = 2 )

- Using the pmf of binomial distribution we have:

                           P(X = 2) = 6C2 * (0.23)^2 * (0.77)^4

                           P(X = 2) = 15 * 0.0529 * 0.35153041

                           P(X = 2) = 0.27894

7 0
3 years ago
What property is demonstrated by 7+h=h+7
julia-pushkina [17]

Answer:

commutative property

hope that helped, if yes give me brainliest and if no draw my attention by hitting the comment box.

5 0
2 years ago
Read 2 more answers
What can you say about the y-values of the two functions f(x)=3^(x)-3 g(x)=7x^2-3
Mice21 [21]

Answer: g(x) has the smallest possible y-value of -3

<u>Step-by-step explanation:</u>

f(x) = 3ˣ - 3   <em>This is an exponential graph shifted down three units. So, it has an asymptote at y = -3, which means it approaches -3 but does not touch it.</em>

Range: y > 3   (-3, ∞)

   g(x) = 7x² - 3  

⇒ g(x) = 7(x - 0)² - 3   <em>This is a parabola with vertex at (0, -3) </em>

Range: y ≥ 3   [-3, ∞)



5 0
2 years ago
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Which of the following correctly expresses the number 65.824?
JulijaS [17]

The expression of the decimal number 65.8246 in word form is; tens + 5 ones + 8 tenths + 2 hundredths + 4 thousandths​

<h3>How to express decimal numbers?</h3>

A decimal is a number that consists of a whole and a fractional part. Decimal numbers lie between integers and represent numerical value for quantities that are whole plus some part of a whole.

Now, we are given the decimal number 65.824 to write in words. This can be written as;

6 tens + 5 ones + 8 tenths + 2 hundredths + 4 thousandths​

The reason for the above is that we can rewrite the given decimal in fraction form as;

60 + 5 + 8/10 + 2/100 + 4/1000

Read more about decimal expressions at; brainly.com/question/20053870

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4 0
1 year ago
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Kipish [7]

Lets say our number is 237x8

2+3+7+8+x should be divisible by 6.

20+x should be divisible by 6.

x=4

5 0
2 years ago
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