Find the missing value
A) 14
B) 12
C) 10
D) 13

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A tangent meets with the radius to form a right angle

Thus, we can use Pythagoras' theorem

b^2 = c^2 - a^2

Sub the values in:

b^2 = 5^2 - 3^2

b^2 = 16

Square root for the answer:

b = 4

Thus, the answer is option A.

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Answer:

option 1 is the answer

Step-by-step explanation:

IN A CIRCLE , THE TANGENT IS THE PERPENDICULAR TO THE RADIUS DRAWN TO THE POINT OF CONTACT

SO AC ⊥ BC

ie angle ACB= 90 degree

therefore in triangle ABC , ACB = 90 DEGREE

By applying pythagorus theorem ,

AB^2 = AC^2 + BC^2

5^2 = r^2 + 3^2

25 -9 = r^2

16 = r^2

r = square root o f 16

therefore r= 4

please mark me as the brainliest...

Answer:

-3/2

Step-by-step explanation:

The slope can be found through the equation y2 - y1 / x2 - x1

Finding two points on this line is what we start by doing.

Two points on the line I see are (0,-4) and (2, -7)

Plugging this into the slope formula gives us -7 - (-4) / 2 - 0

Solving this gives us -3 / 2 as the slope.

Answer:

10.60%

Step-by-step explanation:

We have to solve the above we have to apply bimonial and add each one, like this:

p (x <= 3) = p (x = 0) + p (x = 1) + p (x = 2) + p (x = 3)

p (x <= 3) = 8C0 * (0.65) ^ 0 * (0.35) ^ 8 + 8C1 * (0.65) ^ 1 * (0.35) ^ 7 + 8C2 * (0.65) ^ 2 * (0.35) ^ 6 + 8C3 * (0.65) ^ 3 * (0.35) ^ 5

p (x <= 3) = 8! / (0! (8-0)!) * (0.65) ^ 0 * (0.35) ^ 8 + 8! / (1! (8-1)!) * (0.65 ) ^ 1 * (0.35) ^ 7 + 8! / (2! (8-2)!) * (0.65) ^ 2 * (0.35) ^ 6 + 8! / (3! (8-3)!) * (0.65) ^ 3 * (0.35) ^ 5

p (x <= 3) = 0.1060

therefore the probability is 10.60%

Answer:

The probability that at most 3 of the southerners believe in angels is 10.61%

Step-by-step explanation:

Given;

65% believe in angels = p

then, 35% will not believe in angel = q

total sample number, n = 8

The probability that at most 3 southerners believe in angels is calculated as;

= p( non believe in angel) or p( 1 southerner believes and 7 will not believe) or p( 2 southerner believe and 6 will not believe) or p( 3 southerner believe and 5 will not believe)

= 8C₀(0.65)⁰(0.35)⁸ + 8C₁(0.65)¹(0.35)⁷ + 8C₂(0.65)²(0.35)⁶ + 8C₃(0.65)³(0.35)⁵

= 1(1 x 0.000225) + 8(0.65 x 0.000643) + 28(0.4225 x 0.00184) + 56(0.2746 x 0.00525)

= 0.1061

= 10.61%

Therefore, the probability that at most 3 of the southerners believe in angels is 10.61%

Answer:

The two sample t-test

Step-by-step explanation:

The appropriate test for thus is the two sample t test which is also known as the independent t test. This tests aims at determined whether there is a statistically significant difference between the means in two unrelated groups which in this context are a random sample with one type of preservative and another sample with another type of preservatives.

With this test, the researcher is able to compare the mean shelf lives of the bananas treated with the two different preservatives... The null hypothesis equalises the two means of the sample while the alternative does otherwise.

Answer:

The ball is at a maximum height when t = 0.125s.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, f(x_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]f(x_{v})[/tex]

In this question:

[tex]h(t) = -32t^{2} + 8t + 3[/tex]

So [tex]a = -32, b = 8[/tex]

When is the ball at a maximum height

[tex]t_{v} = -\frac{8}{2*(-32)} = 0.125[/tex]

The ball is at a maximum height when t = 0.125s.

Answer:

Step-by-step explanation:

The rectangular form of a complex number is expressed as z = x+iy

where the modulus |r| = [tex]\sqrt{x^{2}+y^{2}[/tex] and the argument [tex]\theta = tan^{-1}\frac{y}{x}[/tex]

In polar form, x = [tex]rcos\theta \ and\ y = rsin\theta[/tex]

[tex]z = rcos\theta+i(rsin\theta)\\z = r(cos\theta+isin\theta)[/tex]

Given the complex number, [tex]z = -6+6\sqrt{3} i[/tex]. To express in trigonometric form, we need to get the modulus and argument of the complex number.

[tex]r = \sqrt{(-6)^{2}+(6\sqrt{3} )^{2}}\\r = \sqrt{36+(36*3)} \\r = \sqrt{144}\\ r = 12[/tex]

For the argument;

[tex]\theta = tan^{-1} \frac{6\sqrt{3} }{-6} \\\theta = tan^{-1}-\sqrt{3} \\\theta = -60^{0}[/tex]

Since tan is negative in the 2nd and 4th quadrant, in the 2nd quadrant,

[tex]\theta =180-60\\\theta = 120^{0}[/tex]

z = 12(cos120°+isin120°)

This gives the required expression.

Answer: the probability that the number x of correct answers is fewer than 4 is 0.61

Step-by-step explanation:

Let x be a random variable representing the answers to the SAT questions. This is a binomial distribution since the outcomes are two ways. It is either the answer is correct or incorrect. Also, the probability of success or failure is constant for each trial. The probability of success, p = 0.35

The probability of failure, q would be 1 - p = 1 - 0.35 = 0.65

We want to determine P(x < 4)

n = number of trial = 9

x = 4

From the binomial distribution calculator,

P(x < 4) = 0.61

Step-by-step explanation:

Hope you understand this

Answer:

8  5/648

Step-by-step explanation:

y = 5x ^ -3 + 4x^2

dy /dx = 5 * -3 x^ -4 + 4 * 2x ^ 1

           = -15 x ^ -4 + 8x

Now take the second derivative

dy^2/ dx^2 = -15  * -4 x^-5 +8

                   = 60 x^ -5 +8

                   = 60 /x^5   +8

Evaluate at x = 6

                   = 60 / 6^5  +8

                    60/7776 +8

                   5/648 + 8

                  8  5/648

Answer:

volume = 360 inches³

Step-by-step explanation:

The can itself is a cylinder. The volume of a cylinder can be calculated as follows

volume of a cylinder  = πr²h

where

r = radius

h = height

1/3 of the height was cut off that means  1/3 × 12 = 4 inches of the height was cut off.  The new height of the can will be 12 - 4 = 8 inches. Therefore,

volume = πr²h =

base area which is the area of a circle = πr² = 45 inches²

volume = 45 × 8

volume = 360 inches³

Answer:

x = 12

Step-by-step explanation:

Since they are equidistant from the centre, they are equal in length i.e.

JK = LM

4x+37 = 5(x+5)

4x+37 = 5x+25

37-25 = 5x-4x

12 = x

OR

x = 12

Answer:

Ariana is going to invest P($) in an account paying an interest rate of 3.4% compounded monthly.

After 14 years, the amount of money in Adrina's account is calculated by:

A = P x (1 + rate)^(time)

or

A = P x (1 + 3.4/12)^(14 x 12)

or

9200 = P x (1 + 3.4/12)^(14 x 12)

=> P = 9200/[(1 + 3.4/12)^(14 x 12)]

=> P = 5791.044$

Hope this helps!

:)

The value of the account to reach $9,200 in 14 years is $5,791.

Since interest rate of 3.4% compounded monthly. And, the amount is  $9,200 in 14 years

So, the value should be

[tex]A = P \times (1 + rate)^{(time)}\\\\A = P \times (1 + 3.4/12)^{(14 \times 12)}\\\\9200 = P \times (1 + 3.4/12)^{(14 \times 12)}\\\\ P = 9200\div [(1 + 3.4/12)^{(14 \times 12)]}[/tex]

P = $5791

hence, The value of the account to reach $9,200 in 14 years is $5,791.

Learn more about rate here: https://brainly.com/question/14565608

Answer:

a. Attached.

b. Mean = 0.5

Step-by-step explanation:

This random number generator con be modeled with an uniform continous random variable X that has values within 0 and 1, each with the same constant probability within this range.

The probability for the values within the interval [a,b] in a continous uniform distribution can be calculated as:

[tex]f(x)=\dfrac{1}{b-a}\;\;\;x\in[0; 1][/tex]

In this case, b=1 and a=0, so f(x)=1.

The sketched curve of the probability distribution of this random variable is attached.

The mean of this distribution can be calculated as the mean for any uniform distribution:

[tex]E(X)=\dfrac{a+b}{2}=\dfrac{0+1}{2}=0.5[/tex]

Answer:

Bombard means to rush, to overtake

Step-by-step explanation:

hope this helped a little !

Answer:

Rush overtake

Step-by-step explanation:

14. Was the perimeter calculated correctly?

We know that,

Perimeter of rectangle = 2 ( l + b )

= 2 ( 4 + 7 / 5 )

= 2 ( 20 + 7 / 5 )

= 2 × 27/5

= 54 / 5

= 1 * 4/5

No ...

Answer:

a, b

Step-by-step explanation:

a and b  cause  all  the data are  not in a form of a line

Answer: 16875x³-13500x²+3600x-320

Step-by-step explanation:

[gοfοh](x) means g(f(h(x))). So you plug in h(x) into f(x) and that into g(x).

f(3x)=5(3x)-4=15x-4

g(f(3x))=5(15x-4)³

g(f(3x))=5(3375x³-2700x²+720x-64)

g(f(3x))=16875x³-13500x²+3600x-320

Answer:

A

Step-by-step explanation:

Answer: d) determinant cannot be found

Step-by-step explanation:

You can only find the determinant of a SQUARE matrix.

In other words, the dimensions must be 2 × 2 or  3 × 3 or ... n × n

The dimensions of the given matrix is 2 x 3, so the determinant cannot be calculated.

Answer:

(a) The probability mass function of X is:

[tex]P(X=x)={4\choose x}\ (0.33)^{x}\ (1-0.33)^{4-x};\ x=0,1,2,3...[/tex]

(b) The most likely value for X is 1.32.

(c) The probability that at least two of the four selected have earthquake insurance is 0.4015.

Step-by-step explanation:

The random variable X is defined as the number among the four homeowners  who have earthquake insurance.

The probability that a homeowner has earthquake insurance is, p = 0.33.

The random sample of homeowners selected is, n = 4.

The event of a homeowner having an earthquake insurance is independent of the other three homeowners.

(a)

All the statements above clearly indicate that the random variable X follows a Binomial distribution with parameters n = 4 and p = 0.33.

The probability mass function of X is:

[tex]P(X=x)={4\choose x}\ (0.33)^{x}\ (1-0.33)^{4-x};\ x=0,1,2,3...[/tex]

(b)

The most likely value of a random variable is the expected value.

The expected value of a Binomial random variable is:

[tex]E(X)=np[/tex]

Compute the expected value of X as follows:

[tex]E(X)=np[/tex]

         [tex]=4\times 0.33\\=1.32[/tex]

Thus, the most likely value for X is 1.32.

(c)

Compute the probability that at least two of the four selected have earthquake insurance as follows:

P (X ≥ 2) = 1 - P (X < 2)

              = 1 - P (X = 0) - P (X = 1)

              [tex]=1-{4\choose 0}\ (0.33)^{0}\ (1-0.33)^{4-0}-{4\choose 1}\ (0.33)^{1}\ (1-0.33)^{4-1}\\\\=1-0.20151121-0.39700716\\\\=0.40148163\\\\\approx 0.4015[/tex]

Thus, the probability that at least two of the four selected have earthquake insurance is 0.4015.

Answer:

cbda

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

The formula that relates two independent events is provided as below:

P(A) x P(B) = P(A⋂B)

=> P(A) x (1/3) = 1/6

=> P(A) = (1/6) x 3

=> P(A) = 3/6 = 1/2

=> Option D is correct

Hope this helps!

Answer:

x= -6 broo

Step-by-step explanation:

Answer:

(C) 18cm, 39cm, 21cm and 45cm.

Step-by-step explanation:

The quadrilateral HIJK has sides measuring 12 cm, 26 cm, 14 cm, and 30 cm.

When HIJK is dilated with a scale factor of 1.5, the side lengths becomes:

12 X 1.5 =18 cm

26 X 1.5 =39 cm

14 X 1.5 =21 cm

30 X 1.5 =45 cm

A dilation of HIJK with a scale factor of 1.5 will give us the side lengths:

18cm, 39cm, 21cm and 45cm.

The correct option is C.

Answer:

All Lake Tahoe Community College math students

Step-by-step explanation:

From the question itself it is clear that the instructor is interested in the average number of days Lake Tahoe Community College math students are absent from class during a quarter that lasts 9 weeks, which clearly indicates that the teacher is interested in population of all Lake Tahoe Community College math students.

Answer: 50 MPH ON AVERAGE: ✌️

20 mph for four hours is 80 miles

200 miles divided by 4 hours is 50 mph

Answer:

50 mph :)

Step-by-step explanation:

20*4=80

280-80=200

200/4=50

answer 50 mph

Answer:

See below

Bold parts are important parts. They are the equations.

Marina had RM24,500 to invest.

If the amount of money in the 4% account was four times the amount of money in the 5.5% account.

" At the end of the year, she had made RM1,300 in interest. The annual yield on each of the three accounts was 4%, 5.5%, and 6%."

"If the amount of money in the 4% account was four times the amount of money in the 5.5% account,"

a = 4b

Down is the equations.

let a = amt in the 4% acct

let b = amt in the 5.5% acct

let c = amt in the 6%

"Marina had RM 24,500 to invest."

a + b + c = 24500

Replace a with 4b in both equations, simplify

b = $2000 in the 5.5% investment

a = $8000 in the 4% acct

Hope this helps.

Marina invested $ 8000 at 4%, $ 2000 at 5.5%, and $ 14,500 at 6%.

Since Marina had $ 24,500 to invest, and she divided the money into three different accounts, and at the end of the year, she had made $ 1,300 in interest, and the annual yield on each of the three accounts was 4%, 5.5%, and 6%, to determine, if the amount of money in the 4% account was four times the amount of money in the 5.5% account, how much had she placed in each account, the following calculation must be performed:

Therefore, Marina invested $ 8000 at 4%, $ 2000 at 5.5%, and $ 14,500 at 6%.

Learn more in https://brainly.com/question/18521069

Answer:

y+8 = 3(x-3)

Step-by-step explanation:

The point slope form of the equation for a line is

y-y1 = m(x-x1)

y- -8 = 3(x -3)

y+8 = 3(x-3)

Answer:

1.76

Step-by-step explanation:

The formula is l x w x h

2 x 2.2 x 0.2 = 0.88

The prisms are the same so

0.88 + 0.88 = 1.76

Answer:

x=0.5355 or x=-6.5355

First step is to: Isolate the constant term by adding 7 to both sides

Step-by-step explanation:

We want to solve this equation: [tex]2x^2 + 12x - 7 = 0[/tex]

On observation, the trinomial is not factorizable so we use the Completing the square method.

Step 1: Isolate the constant term by adding 7 to both sides

[tex]2x^2 + 12x - 7+7 = 0+7\\2x^2 + 12x=7[/tex]

Step 2: Divide the equation all through by the coefficient of [tex]x^2[/tex] which is 2.

[tex]x^2 + 6x=\frac{7}{2}[/tex]

Step 3: Divide the coefficient of x by 2, square it and add it to both sides.

Coefficient of x=6

Divided by 2=3

Square of 3=[tex]3^2[/tex]

Therefore, we have:

[tex]x^2 + 6x+3^2=\frac{7}{2}+3^2[/tex]

Step 4: Write the Left Hand side in the form [tex](x+k)^2[/tex]

[tex](x+3)^2=\frac{7}{2}+3^2\\(x+3)^2=12.5\\[/tex]

Step 5: Take the square root of both sides and solve for x

[tex]x+3=\pm\sqrt{12.5}\\x=-3\pm \sqrt{12.5}\\x=-3+ \sqrt{12.5}, $ or $x= -3- \sqrt{12.5}\\$x=0.5355 or x=-6.5355[/tex]

Answer:

Step-by-step explanation:

Step 1: Isolate the constant term by adding 7 to both sides of the equation.

Step 2: Factor 2 from the binomial.

Step 3: 9

Step 3 b: 18

Step4: write the trinomial as the square root of a binomial.

Step 5: divide both sides of the equation by 2 Step

6: Apply the square root property of equality Step

7: subtract 3 from both sides of the equation.