If f(x)=(x-3)^2+1 what is f(6)

Pls help

the answer would be 1500

The probability of x<4 successes is P(X <4) = 0.01909.

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to binomial distribution with parameters n and p, then it is written as

[tex]X \sim B(n,p)[/tex]

The probability that out of n trials, there'd be x successes is given by

[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]

In this question:

​n=10 p=0.15 x<4

[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}\\\\\\P(X < 4) = \: ^{10}C_40.15^4(1-0.15)^{10-4}\\\\\\P(X < 4) = \: ^{10}C_40.00050625(0.85)^{6}\\\\\\P(X < 4) = 0.01909[/tex]

So, P(X <4) = 0.01909.

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Answer:

The shapes are triangles with same base and height

The area of a triangle is the half of the product of the base and height

A = 1/2bh is same for both shapes, so they have same area

Answer:

[tex]Pr = 32.49\%[/tex]

Step-by-step explanation:

Given

Let E represents the event of wearing glasses or contacts.

So;

[tex]P(E) =57\%[/tex]

Required

The probability that selected 2 wears glasses

This is calculated as:

[tex]Pr = P(E)\ and\ P(E)[/tex]

[tex]Pr = P(E)\ *\ P(E)[/tex]

[tex]Pr = 57\% * 57\%[/tex]

[tex]Pr = 0.57 * 0.57[/tex]

[tex]Pr = 0.3249[/tex]

[tex]Pr = 32.49\%[/tex]

Answer:14

Step-by-step explanation:

The largest Prime factor of 35 is 7 (factors of 35 are 1,5,7,35)

the smallest prime factor of 12 is 2 (factors of 12 are 1,2,3,4,6,12)- and 1 is not Prime

7*2=14

Answer:

Step-by-step explanation:

Here,

[Taking 'A' = 'a']

[tex]a \: = \: 4\pi {r}^{2} [/tex]

Then for 'r',

[tex] = > 4\pi {r}^{2} = a[/tex]

[tex] = > {r}^{2} = \frac{a}{4\pi} [/tex]

[tex] = > r = \sqrt{\frac{a}{4\pi} }[/tex]

[tex] = > r = \frac{1}{2}\sqrt{ \frac{a}{\pi} } [/tex]

Hence,

Option C is correct .

Answer:

[tex]Range: 0 \le y \le 400[/tex]

Step-by-step explanation:

Given

[tex]Gas = 25 gallons[/tex]

[tex]Distance = 400miles[/tex] --- max

Required

The range of the function

The graph is not given; however, the question can be answered without the graph.

From the question, we understand that the truck can hold up to 25 gallons.

This represents the domain (i.e. from 0 to 25)

When the truck is empty (i.e. no gas in it), the truck cannot move any distance (0 miles).

When the truck is filled up (i.e. 25 gallon), the truck can move up to 400 miles.

This represents the range (i.e. from 0 to 400 miles)

Hence, the range is:

[tex]Range: 0 \le y \le 400[/tex]

Answer:

There is no graph but I can infer that if time is on the x axis it would be C and if distance is on the x axis it would be B

Step-by-step explanation:

Answer:

160%

Step-by-step explanation:

(65 - 25 )/25  x 100% = 160%

Step-by-step explanation:

3x+11=57

subtract 11 from both sides and you will get this

3x=46

Divide by 3

42/3. 3/3

X=14

Answer:

15.333

Step-by-step explanation:

3x+11=57(y)

reverse the question

so:

57-11=46

46 divided by 3=15.333

so x=15.333

hope that helps

thank you

19NBoli

Answer:

area = 5.3 m²

Step-by-step explanation:

r = d/2 = 2.6/2

r = 1.3

area = πr² = (3.14)(1.3²) = 5.31 m²

The area of a circle is pi r^2

if the diameter is 2.6m

r=d/2

=1.3

area= 22/7*2.6^2

=21.245m^2

Round to the nearest 10th

=20m^2

Answer:20m^2

Answer:

C: 4 hours

Step-by-step explanation:

Mean = Σxn/n

Σx/n = ((2 × 4) + (3 × 5) + (4 × 6) + (5 × 3) + (6 × 3) + (7 × 0) + (8 × 1))/(4 + 5 + 6 + 3 + 3 + 0 + 1)

Σx/n = 88/22

Σx/n = 4 hours

Answer:

98 degrees

Step-by-step explanation:

HJ = (5x - 7)

Because it's a full circle:

61 + 34 + (5x - 7) + (9x - 22) = 360

95 + (14x - 29) = 360

14x = 360 - 95 + 29 = 294

x = 21

HJ = 5x - 7 = 5 * 21 - 7 = 105 - 7 = 98

Answer:

1. wire is approx. 143.96 ft

2. pole is approx. 106.55 ft

Step-by-step explanation:

Mapping the information on the SOHCAHTOA picture below:

Φ = 46

wire = hypotenuse

adjacent side = 100

CAH is most suitable:

cos 46° = 100/wire => wire = 100/cos 46 ≈ 143.96

pole = opposite side + 3

TOA is most suitable:

tan 46° = (pole-3)/100 => pole = 3 + 100 * tan 46 ≈ 106.55

Th slope of red lines is -4

Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel.

The property of parallel lines states that slope of both lines will b same.

Therefore slope of red lines is -4

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Answer:

1 plus 1 equals window........

Answer:

I think the answer is orange

Step-by-step explanation:

#Eleventeen

Answer:

Step-by-step explanation:

4x/33

The simplest fraction after calculating 3/11 times 4/9 is 12/99.

Use the concept of fraction defined as:

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.

The given expression is:

3/11 times 4/9

It can be written as,

[tex]\dfrac{3}{11} \times \dfrac{4}{9}[/tex]

Multiply the fractions we get

[tex]\dfrac{3\times 4}{11 \times 9} \\\\\dfrac{12}{99}[/tex]

Since both the numerator and denominator have gcd 1,

Therefore, it is in simplest form.

Hence,

3/11 times 4/9 is equal to 12/99.

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7+5^2.4

=7+47.591348

=54.591348

Answer: 7 + 5^ 2 . 4= 107 if you evaluate sorry if i am wrong

Step-by-step explanation:

Answer:

The missing number is 21

Step-by-step explanation:

-12 + x = 9

x = 9 + 12

x = 21

Answer:

21

Step-by-step explanation:

let X = ( )

-12 + X = 9

X = 9 + 12

X = 21

Answer:

its c

Step-by-step explanation:

i took the test and got 100 percent

......................................

Answer:

B

Step-by-step explanation:

Answer:

1) about 1.57 radians

2) I'm not sure about this one sorry

Abcdefghijklmnopqrstuvwxyz

Answer:

50

Step-by-step explanation:

22 + 18 = 40

90 - 40 = 50

no way you can round it

Answer:

A

Step-by-step explanation:

y = 3x + 10

Ur welcome