What is the missing side length in this right triangle? 9 in & 12 in

Using the normal approximation to the binomial, the probabilities are given by:

a) 0.8485 = 84.85%.

b) 0.0244 = 2.44%.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, we have that:

The mean and the standard deviation of the approximation are given, respectively, by:

[tex]\mu = np = 600(0.05) = 30[/tex]

[tex]\sigma = \sqrt{np(1-p)} = \sqrt{600(0.05)(0.95)} = 5.3385[/tex]

Item a:

Using continuity correction, the probability is P(X > 24.5), which is one subtracted by the p-value of Z when X = 24.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{24.5 - 30}{5.3385}[/tex]

[tex]Z = -1.03[/tex]

[tex]Z = -1.03[/tex] has a p-value of 0.1515.

1 - 0.1515 = 0.8485.

0.8485 = 84.85% probability.

Item b:

This probability is P(X < 19.5), which is the p-value of Z when X = 19.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{19.5 - 30}{5.3385}[/tex]

[tex]Z = -1.97[/tex]

[tex]Z = -1.97[/tex] has a p-value of 0.0244.

The probability is of 0.0244 = 2.44%.

More can be learned about the normal distribution at https://brainly.com/question/24663213

Answer:

The guinea pig is 210 millimeters longer than the fish.

Step-by-step explanation:

f(x) = 3x − 5 when x=−1, x=0, x=3

Answer:

-8, -2, 4

Step-by-step explanation:

1. Insert -1, 0, and 3 into x

2. Solve

Replace x with -1: f(-1) = 3(-1) − 5

Multiply 3(-1): f(-1) = -3 − 5

Subtract by 5: f(-1) = -8

The answer is -8

Now do this for the rest of the problems:

f(0) = 3(0) − 5 when x=−1, x=0, and x=3

-2 is the 2nd answer

f(3) = 3(3) − 5 when x=−1, x=0, and x=3

4 is the 3rd answer

This is my first answer, so I hope I explained it well!

Answer:

  n² -10 = 6

Step-by-step explanation:

If n represents a positive number, then "the square of a positive number" is represented by n². When that value is decreased by 10, it becomes ...

  n² -10

and if that value is 6, the math expression is ...

  n² -10 = 6

__

Additional comment

Increasing the value by 10 gives ...

  n² = 16

and taking the positive square root gives us the value of the number:

  n = √16 = 4

in this question we have to multiply 4 with 4 then we have to minus 16 with 10 we get the answer 6

= 4 × 4 = 16

= 16 - 10

= 6

Answer:

1.) 75

2.) 75

3.) 2

Step-by-step explanation:

120n-150=45n

add 150 to both sides

120n=45n+150

subtract 45n from both sides

75n=150

divide by common number, since 75 is half of 150, use 75.

n=2

Answer:

27 feet

Step-by-step explanation:

We know that 3 feet = 1 yard.  So, multiply 9 by 3 and you get 27 feet.  Hope this helps!

Answer:

18x + 9

Step-by-step explanation:

Answer:

x=-1

Step-by-step explanation:

Answer:

i believe it's actually the fourth option: lines e and f are parallel bc their same side exterior angles are supplementary

Step-by-step explanation:

its part of a theorem you learn, don't remember exactly (haven't taken geo in like 2 years lol)

Answer:

i believe it shud be c

Step-by-step explanation: it really doesn't proof that for a and be the corresponding angles are congruent..

Hope this is correct!!

Answer:

Step-by-step explanation:

1) Parallelogram ABCD, E is the midpoint of [tex]\overline{DC}[/tex], F is the midpoint of [tex]\overline{AB}[/tex] (given)

2) [tex]DE=\frac{1}{2}DC, BF=\frac{1}{2}AB[/tex] (When a segment is bisected, each part is half the length of the whole segment)

3) [tex]\overline{DC} \cong \overline{AB}[/tex] (opposite sides of a parallelogram are congruent)

4) [tex]DC=AB[/tex] (congruent segments have equal measure)

5) [tex]DE=BF[/tex] (substitution)

6) [tex]\overline{DE} \cong \overline{BF}[/tex] (segments with equal measure are congruent)

7) [tex]\angle D \cong \angle B[/tex] (opposite angles of a parallelogram are congruent)

8) [tex]\overline{AD} \cong \overline{BC}[/tex] (opposite sides of a parallelogram are congruent)

9) [tex]\triangle ADE \cong \triangle CBF[/tex] (SAS)

10) [tex]\overline{AE} \cong \overline{CF}[/tex] (CPCTC)

Answer:

-2

Step-by-step explanation:

(8) fx=x2-2x-2

8(2)-2(8)-2

16-16-2

-2

one shirt is for $25 so multiple that by 3 and get $75

Answer:

x=-10

Step-by-step explanation:

I explained the answer to your question in the photo

m    dm    cm    mm

                0        8

8 mm = 0,8 cm

Step-by-step explanation:

48 cm

Remember that i = √(-1), so that

• i ² = -1,

• i ³ = i x i ² = i x (-1) = -i

• i ⁴ = i x i ³ = i x (-i) = -i ² = -(-1) = 1

Multiplying by i again gives i ⁵ = i and the cycle starts over.

The main observation to make here is that raising i to any multiple of 4 returns 1. So,

i ⁴⁸ = (i ⁴)¹² = 1¹² = 1

i ²²³ = i ²²⁰⁺³ = i ²²⁰ x i ³ = (i ⁴)⁵⁵ x i ³ = 1⁵⁵ x (-i) = -i

i ¹¹³ = i ¹¹²⁺¹ = i ¹¹² x i = (i ⁴)²⁸ x i = 1²⁸ x i = i

i ⁸² = i ⁸⁰⁺² = i ⁸⁰ x i ² = (i ⁴)²⁰ x i ² = 1²⁰ x (-1) = -1

i^48 = 1

i^223 = -i

i^113 = i

i^82 = -1

Answer:

2,870 and 30

Step-by-step explanation:

Answer:

9m⁸

Step-by-step explanation:

3^2=9

(m⁴)² = m⁸

9*m⁸

Answer:

x = 67; y = 121; z = 65

Step-by-step explanation:

x + 1 + 112 = 180

x + 113 = 180

x = 67

y - 9 = 112

y = 121

z + 3 + 112 = 180

z + 115 = 180

z = 65

Answer:

x=2

Hope this helps! :)

3x+5x=8x

23-7=16

16÷8

Answer:

x = 2

Step-by-step explanation:

3x + 7 = 23 - 5x

3x + 5x = 23 - 7

8x = 16

x = 2

Answer:

The probability is [tex]P(X \le 0.60) = 0.000 [/tex]

Step-by-step explanation:

From the question we are told that

   The overall pass rate is  [tex]R  =  76\% =  0.76[/tex]

   The sample size is  n  =  400

   The percentage that passed is  [tex]k =  60\%  =  0.60[/tex]

Generally the standard error is mathematically represented as

     [tex]\sigma _{\= x } =  \sqrt{\frac{R (1 -R)}{n} }[/tex]    

  =>    [tex]\sigma _{\= x } =  \sqrt{\frac{0.76 (1 -0.76)}{400} }[/tex]

  =>    [tex]\sigma _{\= x } = 0.0214 [/tex]  

Generally the probability of a simple random sample of 400 having a pass rate of 60% or less is mathematically represented as

      [tex]P(X \le 0.60) = P(\frac{X - R}{ \sigma_{\= x}}  \le \frac{0.60 - 0.76}{0.0214} )[/tex]

=>   [tex]P(X \le 0.60) = P(Z \le -7.48 )[/tex]

Generally from the z-table  

      [tex]P(Z \le -7.48 ) =  0.000[/tex]

So

  [tex]P(X \le 0.60) = 0.000 [/tex]

Answer:

36 degrees

Step-by-step explanation:

The whole shape is 90 degrees.

90 - 54 = 36

36 degrees

Answer:

36*

Step-by-step explanation:

a right angle is 90* and so you do

90-54=36

meaning your missing angle is 36*

I believe it is 35!

I hope this helps you, and don't forget to give this answer brainliest if it really helped!

Answer:

11/6

Step-by-step explanation:

2x/3 = 1/2

Cross multiply, get 4x = 3, x = 3/4

3y/4 = 3/2

Cross multiply, get 6y = 12, y = 2

x + y = 3/4 + 2 = 11/4

xy = 3/4 * 2 = 3/2

(x + y)/(xy) = (11/4)/(3/2) = 11/4 * 2/3 = 22/12 = 11/6

Answer:

The width of pen A is 7 feet,

The Length of Pen A is  11 feet,

The width of Pen B is 6 feet,

The Length of Pen B is 12 feet

Step-by-step explanation:

The width of pen A is 7 feet,

The Length of Pen A is 7 + 4 = 11 feet,

The width of Pen B is 7+4-5 = 6 feet,

The Length of Pen B is 2*(7+4-5) = 12 feet

[tex]w+w+w+w+4+4=(w+4-5)+(w+4-5) +2*(w+4-5)+2*(w+4-5)\\4w+8=6w-6\\14=2w\\w=7\\[/tex]

Answer:

answer is 0.025

Step-by-step explanation:

answer is 0.025

Answer:

Use Desmos.com. It is a site that can graph basically anything you want.

Step-by-step explanation: