express as a trinominal.

(2x+6)(2x+8)

Answer:

0.3333 = 33.33% probability of a randomly chosen person not having cancer given that the test indicates cancer

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Test indicates cancer.

Event B: Person does not have cancer.

Probability of a test indicating cancer.

98% of 2%(those who have).

1% of 100 - 2 = 98%(those who do not have). So

[tex]P(A) = 0.98*0.02 + 0.01*0.98 = 0.0294[/tex]

Probability of a test indicating cancer and person not having.

1% of 98%. So

[tex]P(A \cap B) = 0.01*0.98 = 0.0098[/tex]

What is the probability of a randomly chosen person not having cancer given that the test indicates cancer?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0098}{0.0294} = 0.3333[/tex]

0.3333 = 33.33% probability of a randomly chosen person not having cancer given that the test indicates cancer

Answer:

Step-by-step explanation:

the total angle is 89  and we are also give two of the parts

89-30-44=15°

Answer:

[tex]Prediction = 35[/tex]

Step-by-step explanation:

Given

The attached table

Required

Expected number of Daffodil when N = 150

First, we calculate the probability of having a Daffodil.

[tex]Pr = \frac{Daffodil}{Total}[/tex]

This gives:

[tex]Pr = \frac{14}{14+10+24+12}[/tex]

[tex]Pr = \frac{14}{60}[/tex]

Simplify

[tex]Pr = \frac{7}{30}[/tex]

When there are 150 flowers, the prediction of Daffodils is:

[tex]Prediction = Pr * N[/tex]

[tex]Prediction = \frac{7}{30} * 150[/tex]

[tex]Prediction = 7*5[/tex]

[tex]Prediction = 35[/tex]

Answer:

Step-by-step explanation:

7 + x³ is the sum of 7 and the cube of a number x

Answer:

$15,000 was invested at 14% per year, and $13,500 was invested at 4% per year.

Step-by-step explanation:

Given that a bank loaned out $ 28,500, part of it at the rate of 14% annual interest, and the rest at 4% annual interest, and the total interest earned for both loans was $ 2,640.00, to determine how much was loaned at each rate you must perform the following calculations:

28,500 x 0.14 + 0 x 0.04 = 3,990

20,000 x 0.14 + 8,500 x 0.04 = 3,140

15,000 x 0.14 + 13,500 x 0.04 = 2,640

Therefore, $ 15,000 was invested at 14% per year, and $ 13,500 was invested at 4% per year.

Answer:

A) 81 sq units

Step-by-step explanation:

Area of a trapezoid = one-half of height multiplied by the sum of the bases (the bases are the parallel sides)

the problem gives us all the values we need:

height = 9

smaller base is 'x' which is 7

larger bases is 2y+x which is 2(2)+7 = 11

A = 1/2·(9)(7+11)

= 1/2·9·18

= 9·9 which is 81 sq units

Answer:

A

Step-by-step explanation:

Have a nice day

Answer:

Option A

Step-by-step explanation:

Given function is,

[tex]f(x)=x^4-x^2-6[/tex]

Hint: [tex](-1=-3+2)[/tex] and [tex](-3)(2)=-6[/tex]

[tex]f(x)=x^4-3x^2+2x^2-6[/tex]

       [tex]=x^2(x^2-3)+2(x^2-3)[/tex]

       [tex]=(x^2+2)(x^2-3)[/tex]

[tex]f(x)=(x^2+2)(x^2-3)[/tex] is the factored form of the given function.

Option A will be the correct option.

Answer:

I think the answer is 2 because 2.5 x 2 = 5.

I'm sorry if this is wrong, I'm a bit unsure.

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

2

Step-by-step explanation:

we simply divide 2 1/2 from 5

5÷2 1/2

5÷5/2

5×2/5

2(we cancel five)

Answer:

61 degrees

Step-by-step explanation:

This is a 90 degree angle, and if you add 14 + 15, you get 29, so if you subtract 90-29, you get 61.

Answer:

The option E is not linear function

bcz the in option E there is y =x2

Answer:

A $6.20

Step-by-step explanation:

first multiply 7.90 x3 and subtract 17.50 from the answer and you should get A

Answer:

I got C.)5

Step-by-step explanation:

Answer:

21.25

Step-by-step explanation:

because 85$ divided by the 4 tickets is 21.25

Answer:

12 im pretty sureeee

Step-by-step explanation:

Answer:

(3,2)

You can solve this in many ways. You can solve by graphing it, addition/elimination, or by substitution

Answer:

Step-by-step explanation:

Given that:

To Find:

We know that:

Where,

We have:

Seventh term = 22

⟶ a + (7 - 1)d = 22

⟶ a + 6d = 22

⟶ a = 22 - 6d

Evelenth term = 6

⟶ a + (11 - 1)d = 6

⟶ a + 10d = 6

Substituting the value of a.

⟶ 22 - 6d + 10d = 6

⟶ 22 + 4d = 6

⟶ 4d = 6 - 22

⟶ 4d = - 16

⟶ d = - 16/4

⟶ d = - 4

In equation (i).

⟶ a = 22 - 6d

Putting the value of d.

⟶ a = 22 - 6(- 4)

⟶ a = 22 + 24

⟶ a = 46

Now we have to find the first 5 terms:

Hence,

Answer:

32

Step-by-step explanation:

8÷2=4 8(length)x4(width)=32(area)

Answer:

V = 29 + j3

Step-by-step explanation:

4+j3 amps and resistance of 5-j3 ohms what is the voltage of the circuit

V = IR     I = 4+j3 amps    R = 5-j3 ohms

V =  4+j3 × 5-j3

V = [4 × 5]+[j3 × -j3] + [4 × -j3] + [j3 × 5]

V = 20 + (-j²)9  + (-j12) + j15

V = 20 - 9 + j3                  j3 × -j3 = 9 not -9    j = -1    j × j = -1  not 1  my mistake

V = 11 + j3   WRONG

my daughter's old TI 84 Plus Silver Edtion calculator     got 29+j3

Answer:

First of AOD is verticallly opposite to BoC which makes it 55°

Angle at AoC is 55°+55°+105° minus 360 which is 145° hope this helps

Answer:

Probability = 0.01531

Step-by-step explanation:

Prob (Getting 92 out of 100 germinated seeds) follows binomial probability distribution.

N = Number of seeds = 100. r = Number of success (germination) = 92

r = No. Success = Seed germination, Prob (Success) ie P = 85% =  0.85 , Prob (non success ie non germination) ie Q = 1 - 85% = 15% = 0.15

Probability = N c r . (P)^r . (Q)^(n-r)  

= 100c92 (0.85)^92  (0.15)^8

=  186087894300 (0.000000321026708) (0.000000256289062)

= 0.01531 {Approx}

The correct dot plot represents this data set is shown in figure C.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The data set is,

31, 35, 38, 31, 32, 38, 37, 39, 31, 35, 32, 38

Now, From data set;

31 is repeated by 3 times

32 is repeated by 2 times

35 is repeated by 2 times

37 is repeated by 1 times

38 is repeated by 3 times

Hence, The correct dot plot represents this data set is shown in figure C.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

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Answer:

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Given:

Given that MNP is a triangle. Q is the midpoint of MN and R is the midpoint of NP.

The length of QR is 4x -11 and the length of MP is 9x - 29.

We need to determine the measure of MP.

Value of x:

The value of x can be determined using the triangle midsegment theorem.

Applying the theorem, we have;

Substituting the lengths, we get;

Subtracting both sides by 8x, we have;

Adding both sides of the equation by 29, we get;

Thus, the value of x is 7.

Measure of MP:

The measure of MP can be determined by substituting x = 7 in the length of MP.

Thus, we have;

Thus, the measure of MP is 34.

Step-by-step explanation:

Answer:

B. 2.32 units clockwise

Step-by-step explanation:

I calculated it logically

Answer:

The statement is false.

Step-by-step explanation:

We know that all integer numbers can be written as a product of prime numbers.

For example:

15 = 5*3

15 is a product of two prime numbers, 5 and 3.

28 = 2*2*7

28 is the product of two prime numbers, 2 two times, and 7.

Now, we want to prove that in any set of 9 positive integers, some of them share all of their primary factors that are less than or equal to 5.

Now, let's try to find a counterexample to see if this is false.

The first idea that comes to mind is, what with a set of 9 positive prime numbers?

(2, 3, 5, 7, 11, 13, 17, 19, 23)

So none of these numbers share their primary factors (where the "1" is not considered as a primary factor)

And another counterexample could be:

(2, 3, 5, 7, 11, 13, 17, 6, 10)

Here 6 = 2*3

        10 = 2*5

So 6 and 10 share a primary factor (the two) but do not share all of their primary factors that are less than or equal to 5.

So we found two counterexamples of the statement, so we can conclude that the statement is false.

Answer:

green one

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

• If a > 0 then the graph opens upwards

• If a < 0 then the graph opens downwards

y = - x² + x + 6 , has a = - 1 < 0

Then its graph will open downwards

Answer: it equals m

C). m