A circular piece of board contains sections numbered 2, 9, 4, 9, 6, 9, 9, 9. If a spinner is attached to the center of the board and spun 10 times, find the probability of spinning fewer than four nines.

Answer:

B

Step-by-step explanation:

Here, we want to calculate the square root of -√- (75)

That will be

-√(25)(-3)

= -5 √(-3)

√(-3) is same as 3i

So we have the root as;

-5i√3

Answer:

4^3 x 5^2

Step-by-step explanation:

Answer: 5.3

Step-by-step explanation:

\(-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 5.3 \text{ } (t > 0)\)

Answer:

\(\dfrac{1}{729}\)

Step-by-step explanation:

\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)

First, we should evaluate inside the large parentheses:

\((-3)^2 = (-3)\cdot (-3) = 9\)

We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,

\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)

       ↑1 ↑2 ↑3 times because the exponent is 3

Next, we can put the value 9 into where \((-3)^2\) was originally:

\((9)^{-3}\)

We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,

\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)

Finally, we can apply this principle to the \(9^{-3}\):

\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)

Answer:

432

Step-by-step explanation:

A discrete random variable has a countable number of possible values. In this case I am pretty sure it is either none of the above or maybe the phone one.

Discrete random variables are simply countable, which should be a finite number and it should not change continuously. So, Time worked on a job is the discrete random variable among the four options.          

A random variable is said to be discrete if an experiment gives a finite number that is countable and should not change continuously.

Here, Time worked on a job has a fixed time for a job has to be done. So, it is a discrete random variable.

No. of girls in a family,

No. of outcomes of the head when two coins are flipped.

No. of defective street lights out of 100 bulbs in a certain area.

No. of the possible outcome of getting 4 when a dice is thrown twice.

The weight of a child changes as the child grows. So, it cannot be a discrete random variable.

The first digit of a phone number also changes for each and every person, whenever a person changes his /her number automatically will get a new number and it will have a different digit. So, it cannot be a discrete random variable.

The length of fish also varies according to the different sizes of fish. So, it cannot be a discrete random variable.

Know more about the discrete random variables:

https://brainly.com/question/17238189?referrer=searchResults

#SPJ2

A researcher believes that the current ozone level is not at a normal level. the mean of 21 samples is 5.1 ppm with a standard deviation of 1.1 . The value of the test statistic is 1.72 (rounded to two decimal places).

To answer this question, we need to conduct a one-sample t-test.
Null hypothesis: The population mean of ozone level is 4.7 ppm.
Alternative hypothesis: The population mean of ozone level is not 4.7 ppm.
The level of significance is 0.01, which means that we will reject the null hypothesis if the p-value is less than 0.01.
The formula for the t-test statistic is:
t = (sample mean - hypothesized population mean) / (standard deviation / square root of sample size)
Plugging in the values:
t = (5.1 - 4.7) / (1.1 / sqrt(21))
t = 1.72
Using a t-distribution table with 20 degrees of freedom (sample size - 1), the two-tailed p-value for t = 1.72 is approximately 0.099.
Since the p-value is greater than the level of significance (0.099 > 0.01), we fail to reject the null hypothesis. Therefore, we do not have enough evidence to conclude that the current ozone level is significantly different from the normal level of 4.7 ppm.

Learn more about standard deviation here

https://brainly.com/question/24298037

#SPJ11

The value of both domain and range of this exponential function is (−∞,∞).

y = 2x-9

The domain of the function can be defined as all real numbers except the ones where the expression is undefined. In the case of 2x-9, there is no real number for which this expression is undefined. Therefore, a domain of this exponential function is (−∞,∞).

The range of the function is defined as the set of all valid y values. In this case, all real numbers are valid values of y. Therefore, the range of this exponential function is (−∞,∞).

Therefore, domain of y = 2x-9 is (−∞,∞) and range is also (−∞,∞).

To learn more about domain and range;

https://brainly.com/question/1045262

Answer:

d

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

The first one

Step-by-step explanation:

4 x 4 = 16  16 x 4= 64.

Answer:

A

Step-by-step explanation:

To express 226.8 million in 2 significant figures, we can simply round the number to 230 million.2. a. To simplify 3(6a + 3b) + 5(2a – b), we need to apply the distributive property of multiplication over addition, and simplify each term.

So:3 (6a + 3b) + 5(2a – b)

= (3*6a + 3*3b) + (5*2a – 5b)

= (18a + 9b) + (10a – 5b) Then, we can add up the like terms:

18a + 10a + 9b – 5b

= 28a + 4bThus, 3(6a + 3b) + 5(2a – b) simplifies to 28a + 4b.b. To expand (m + 5n)(m – 3n), we need to apply the distributive property of multiplication over addition:

(m + 5n)(m – 3n)

= m(m – 3n) + 5n(m – 3n).

Then, we need to simplify each term:

m(m – 3n)

= m^2 – 3mn, and

5n(m – 3n)

= 5mn – 15n^2. Finally, we add up the like terms:

m^2 – 3mn + 5mn – 15n^2

= m^2 + 2mn – 15n^2. Thus, (m + 5n)(m – 3n) expands to m^2 + 2mn – 15n^2.

To know more about significant visit :

https://brainly.com/question/31037173

#SPJ11

Answer:

C. eighteen and thirty two hundredths

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

A, B , C and D

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

-15.7

Step-by-step explanation:

2

-15

-12

-10

-12

-18

-20

-25

-------

-110

7 divide by -110=-15.7

The conjugate of a complex number with a real part of -5 and an imaginary part of 4i is represented by :

C) -5 - 4i.

The conjugate of a complex number with a real part of -5 and an imaginary part of 4i can be found by changing the sign of the imaginary part. In this case, the imaginary part is 4i, so the conjugate will have a negative sign for the imaginary part.

The conjugate of the complex number is given by -5 - 4i. This means that if we have a complex number of the form -5 + 4i, its conjugate will be -5 - 4i. The conjugate of a complex number is important in various mathematical operations, such as complex number multiplication and division, as it helps simplify the expressions and eliminate the imaginary parts when needed.

Among the given options, option C) -5 - 4i represents the conjugate of the complex number with a real part of -5 and an imaginary part of 4i.

The correct question should be :

Which of the following expressions represents the conjugate of a complex number with a real part of -5 and an imaginary part of 4i?

A) 5

B) 4i

C) -5 - 4i

D) -5 + 4i

To learn more about complex numbers visit : https://brainly.com/question/10662770

#SPJ11

Answer:  f = 4

Step-by-step explanation:

9514 1404 393

Answer:

  AD is the diameter

Step-by-step explanation:

Angles in a triangle have a sum of 180°, so inscribed angle B is 80° and inscribed angle E is 90°.

An inscribed angle subtends an arc that is twice its measure, so arcs ABD and AED are both 180°. That makes chord AD a diameter.

Points A and D need your cross markings. AD is a diameter of the circle.

Step-by-step explanation:

13) 4x-22+x+11+10x-4 =180

15x=195

x=13

<P=(10(13)-4)=126

<Q=(4(13)-22)=30

<R=13+11=24

Answer: $13,713.75

Step-by-step explanation: 10% of $13,250 = $1,325 (the raise given)

$13,250 - $1,325 = $11,925 (original salary)

15% of $11,925 = $1,788.75

$11,925 + $1,788.75 = $13,713.75

Answer:12

Step-by-step explanation:

hypotenuse - vertical side = base

The question is that the number of particles of contamination per pound of material is modeled variable  by a Poisson random variable with a mean of 0.01 particle per pound.

This means that on average, there are 0.01 particles of contamination per pound of material.To study the raw materials for contamination, the number of particles per pound is observed and analyzed. This information helps determine the level of contamination in the raw materials and allows for appropriate actions to be taken if necessary.

By using a poisson random variable, it is possible to calculate the probability of a certain number of particles per pound occurring. This can help in assessing the likelihood of contamination and making informed decisions based on the observed data.In summary, raw materials are studied for contamination using a poisson random variable with a mean of 0.01 particle per pound. This allows for the analysis of the number of particles of contamination per pound and helps in assessing the level of contamination in the raw materials.

To know more about variable visit:

https://brainly.com/question/16906863

#SPJ11

Answer:

4. rise

match the following definition with the correct term:

the vertical distance between two points on a line

1. run

2. rate of run

3. slope

4. rise

Answer:

x+66+55=180(being sum of the angle of triangle=180degree

x=180-121

therefore, x=59

plz give me thanks

Answer:

All triangles have angles that add up 180 degrees.

So Angle x = 180 - 55 -66

which equals 59 degrees.

Step-by-step explanation:

The simplified expression of (7 + 12i) × (7 + 12i) is -95 + 168i.

To perform the indicated operation and simplify, we'll multiply the expression (7 + 12i) by itself

(7 + 12i) × (7 + 12i)

Using the distributive property, we can expand this expression

= 7 × (7 + 12i) + 12i × (7 + 12i)

= 49 + 84i + 84i + 144i²

Since i² is equal to -1, we can simplify further:

= 49 + 168i + 144(-1)

= 49 + 168i - 144

= -95 + 168i

Therefore, the simplified expression is -95 + 168i.

To know more about expression click here :

https://brainly.com/question/30339304

#SPJ4

Answer:

x = 70

Step-by-step explanation:

Angles on a line add up to 180 degrees.

180 - 120

= 60

Angles in a triangle add up to 180 degrees.

180 - 50 - 60

= 70

Answer:gamble that,on average,will leave a person with the same amount of money.

Step-by-step explanation: