What is the range of possible sizes for side x?

Answer:

C.

Step-by-step explanation:

Answer:

f= -14

Step-by-step explanation:

Answer:

f= -14

Step-by-step explanation:

Answer:

B) 0.283

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

25% of the students drive themselves to school.

This means that [tex]p = 0.25[/tex]

Class of 18 students

This means that [tex]n = 18[/tex]

What would be the probability that at least 6 students drive themselves to school?

This is

[tex]P(X \geq 6) = 1 - P(X < 6)[/tex]

In which

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{15,0}.(0.25)^{0}.(0.75)^{18} = 0.006[/tex]

[tex]P(X = 1) = C_{15,1}.(0.25)^{1}.(0.75)^{17} = 0.034[/tex]

[tex]P(X = 2) = C_{15,2}.(0.25)^{2}.(0.75)^{16} = 0.096[/tex]

[tex]P(X = 3) = C_{15,3}.(0.25)^{3}.(0.75)^{15} = 0.17[/tex]

[tex]P(X = 4) = C_{15,4}.(0.25)^{4}.(0.75)^{14} = 0.213[/tex]

[tex]P(X = 5) = C_{15,5}.(0.25)^{5}.(0.75)^{13} = 0.199[/tex]

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.006 + 0.034 + 0.096 + 0.17 + 0.213 + 0.199 = 0.718[/tex]

[tex]P(X \geq 6) = 1 - P(X < 6) = 1 - 0.718 = 0.282[/tex]

Closest option is B, just a small rounding difference.

Answer:

Bbc

Step-by-step explanation:

Answer:

A) (0,2)

Step-by-step explanation:

The Y-Intercept is where the line on the coordinate plane meets the y axis which in this case is 2

Answer:

A. (0, 2)

Step-by-step explanation:

So first things first, you will want to either put the line on a graph by hand or, in a graphing calculator, I recommend DESMOS

the table is a set of coordinates so

(-4, -18) (-2.5, -10.5) (-.4, 0) (0, 2) (2, 12)

Then you'll put these coordinates into a graph and the point you see touching the y-line is your answer, (0, 2)

hope this helps!!

The value of C is -3 and the value of B is 5

Given the expression

(2x + 3)(4x − 1)

On expansion, ww will have:

(2x + 3)(4x − 1) = 8x^2 - 2x + 12x - 3

(2x + 3)(4x − 1) = 8x^2 + 10x - 3

Hence the value of C is -3

For the expression (x + 2)(2x^2 + x − 1)

Expnd

(x + 2)(2x^2 + x − 1)  = 2x^3 + x^2 - x + 4x^2 + 2x - 2

(x + 2)(2x^2 + x − 1) = 2x^3+ 5x^2 +x - 2

Hence the value of B is 5

Learn more on expansion here: https://brainly.com/question/13602562

Answer:

9/25 or .36

Step-by-step explanation:

Answer:

189

Step-by-step explanation:

6 imes 4.5divide2

13.5

13.5

67.5

54

40.5

Answer

The area of the shaded region under the standard normal curve is 0.4834.

Step-by-step explanation:

A random variable X is said to have a normal distribution with mean, µ and variance σ².

Then , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z  N (0, 1).

The distribution of these z-variates is known as the standard normal distribution.

Compute the area under the curve between -2.13 and 0 as follows:

Thus, the area of the shaded region under the standard normal curve is 0.4834.

Answer:

0.58 = 58% probability she passes both courses

Step-by-step explanation:

We can solve this question treating the probabilities as a Venn set.

I am going to say that:

Event A: She passes the first course.

Event B: She passes the second course.

The probability she passes the first course is 0.67.

This means that [tex]P(A) = 0.67[/tex]

The probability she passes the second course is 0.7.

This means that [tex]P(B) = 0.7[/tex]

The probability she passes at least one of the courses is 0.79.

This means that [tex]P(A \cup B) = 0.79[/tex]

a. What is the probability she passes both courses

This is [tex]P(A \cap B)[/tex].

We use the following relation:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

So

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.67 + 0.7 - 0.79 = 0.58[/tex]

0.58 = 58% probability she passes both courses

Answer:

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

Step-by-step explanation:

Answer:

Its b,c,d

Step-by-step explanation:

Answer:

[tex]a_4 = -108[/tex]

Step-by-step explanation:

Given

[tex]a_n = -3a_{n-1}[/tex]

[tex]a_1 = 4[/tex]

Required

Find [tex]a_4[/tex]

[tex]a_4 = -3a_{4-1}[/tex]

[tex]a_4 = -3a_3[/tex]

We calculate for a3

[tex]a_3 = -3a_{3-1}[/tex]

[tex]a_3 = -3a_2[/tex]

Calculate for a2

[tex]a_2 = -3a_{2-1[/tex]

[tex]a_2 = -3a_1[/tex]

Substitute 4 for a1

[tex]a_2 = -3*4[/tex]

[tex]a_2 = -12[/tex]

Substitute -12 for a2 in [tex]a_3 = -3a_2[/tex]

[tex]a_3 = -3 * -12[/tex]

[tex]a_3 = 36[/tex]

Substitute 36 for a3 in [tex]a_4 = -3a_3[/tex]

[tex]a_4 = -3*36[/tex]

[tex]a_4 = -108[/tex]

12 fishes are in the tank

A fish tank has 12 angelfish .out of every 8 fish 3 are angelfish. how many fish are in the tank?

Answer:

Step-by-step explanation:

12angelfish(8fish/3angelfish)=32 fish

Answer:

b. Not binomial: there are more than two outcomes for each trial.

Step-by-step explanation:

Binomial probability distribution:

We need

Fixed number of trials.

Independent trials.

Each trial can be reduced to a yes/no proposition.

Rolling a single "loaded die 19 times, keeping track of the numbers that are rolled.

There are six possible outcomes(1,2,3,4,5,6), so cannot be reduced to a yes/no proposition, and the answer is given by option b.

Given:

Base area of cone =20 m²

Volume of the cone = 160 m³

To find:

The height of the cone.

Solution:

We know that, the volume of a cone is

[tex]V=\dfrac{1}{3}Bh[/tex]

Where, B is the base area and h is the height of the cone.

Putting V=160 and B=20, we get

[tex]160=\dfrac{1}{3}(20)h[/tex]

[tex]480=20h[/tex]

[tex]\dfrac{480}{20}=h[/tex]

[tex]24=h[/tex]

Therefore, the height of the cone is 24 m.

Answer:

-2 i think i am not sure though

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

First, add 3 to both sides to get 10x > -20. Then, divide both sides by 10 to get x = -2. I hope this helps :)

Answer:

70% Decrease

Step-by-step explanation:

Answer:

70%

Step-by-step explanation:

The percent decrease is 70%.

Answer:

Step-by-step explanation:

9/10+5/6 =

27/30+25/30 =

52/30 = 1 22/30 =1 11/15

Answer: 26/15

Step-by-step explanation:

1. First find the common denominator, which is 30

2. Add them

3. Simplify (common factor of 2)

[tex]\frac{27}{30} + \frac{25}{30} \\\\\frac{52}{30} \\\\\\\frac{26}{15}[/tex]

Answer:

B. 7ab²c

Step-by-step explanation:

The GCF of 21a²b^4c and 49ab²c³ is

7ab²c

Answer:

The correct answer is b.

Answer:

219/50 or 4.38

Step-by-step explanation:

divide

Answer:

36

Step-by-step explanation:

36/4 = 9 wish this helps!

Answer:

square root of 81.

Step-by-step explanation:

i think part of this question is missing between “at the city zoo” and “of the zoo.”

but i think the answer could be a.

because if there are 4 different monkeys, and they all got 1/4 of space, it would be equal.