In a student president race student A received 9 votes received by student B if student A received 540 votes, how many votes did student B receive?

Let's solve the problems and provide the answers with the correct number of significant figures:

(4.307 × 10^4) × (6.2 × 10^-3)

Multiplying the numbers:

(4.307 × 6.2) × (10^4 × 10^-3) = 26.6974 × 10^1

Since the result is in scientific notation, we multiply the decimal part by the power of 10:

26.6974 × 10^1 = 266.974

To express the answer with the correct number of significant figures, we consider the least number of significant figures in the original values, which is three significant figures in this case.

Therefore, the answer is 267 with three significant figures.

26.127 + 3.9 + 0.0324

Adding the numbers:

26.127 + 3.9 + 0.0324 = 30.0594

To express the answer with the correct number of significant figures, we consider the least number of decimal places in the original values, which is one decimal place in this case.

Therefore, the answer is 30.1 with one decimal place.

To learn more about notation visit;

https://brainly.com/question/29132451

#SPJ11

70,000 pounds of 0.6% grade copper ore needs to obtain 420 pounds of copper and 69,580 pounds of ground rock would be left after extracting 420 pounds of copper from the 0.6% grade copper ore.

How to find pounds of copper for different conditions?

Learn more about ground rock

brainly.com/question/13314395

#SPJ11

Evaluating p(4) using Horner's algorithm:

1. To use Horner's algorithm, we write the polynomial in nested form as follows:

p(z) = ((3z - 7)z - 5)z^2 + (z - 8)z + 2

Now, we can evaluate p(4) by starting from the inside and working our way out:

p(4) = ((3(4) - 7)4 - 5)4^2 + (4 - 8)4 + 2

= (5)4^2 - 4 + 2

= 78

Therefore, p(4) = 78.

2. Finding the Taylor series expansion of p(z) about z0 = 4:

To find the Taylor series expansion of p(z) about z0 = 4, we need to compute the derivatives of p(z) at z0 = 4. First, we compute p'(z) = 6z^2 - 28z^3 - 10z^2 + 2z - 8, then p''(z) = 12z - 84z^2 - 20z + 2, p'''(z) = 12 - 168z - 20, and so on.

Using these derivatives, we can write the Taylor series expansion of p(z) about z0 = 4 as follows:

p(z) = p(4) + p'(4)(z - 4) + p''(4)(z - 4)^2/2! + p'''(4)(z - 4)^3/3! + ...

Substituting in the values we computed, we get:

p(z) = 78 + 10(z - 4) - 41(z - 4)^2/2! - 14(z - 4)^3/3! + ...

Therefore, the Taylor series expansion of p(z) about z0 = 4 is:

p(z) = 78 + 10(z - 4) - 20.5(z - 4)^2 - 2.333(z - 4)^3 + ...

3. Using Newton's method to find a root of p(z):

To use Newton's method to find a root of p(z), we start with an initial guess z0 = 4 and iterate the formula z1 = z0 - p(z0)/p'(z0) until we reach a desired level of accuracy.

4. We already computed p'(z) in part 2, so we can use the formula to compute z1 as follows:

z1 = z0 - p(z0)/p'(z0)

= 4 - (78 + 10(4) - 20.5(4 - 4)^2 - 2.333(4 - 4)^3)/[6(4)^2 - 28(4)^3 - 10(4)^2 + 2(4) - 8]

= 3.9167

We can continue to iterate using this formula to get better approximations for the root of p(z).

Horner's algorithm is a fast and efficient way to evaluate a polynomial at a particular point. It involves using the distributive property of multiplication to rewrite a polynomial in a nested form, then evaluating the polynomial from the inside out.

In this problem, we will use Horner's algorithm to evaluate p(4) for a given polynomial, find its Taylor series expansion about the point z0 = 4, and then use Newton's method to find an approximation for a root of the polynomial.

Know more about "Horner's algorithm" here:-

https://brainly.com/question/5150902#

#SPJ11

Answer:

I bc it has an invisible 1 at the side

Answer:

The flowers wither

Bean etch the weight of the sun

Yet the weeds stand proud

Hope you like it, Its weird I find Haikus cringed but Have a good day! =)

smell of salt water

as waves break over the bow

Bright yellow happy!

Hope this helps!

You didn't give a graph but I will visualize what it looks like for you.

The line is going through (0,-2) because that is the y-intercept.

The line has a slope of 3.

So, the line goes through:

(1,1)

(2,4)

(3,7)

(4,10)

(5,13)

Since there is no picture provided, I can't give you the answer, but I can help you solve it.  

To solve this you have to first look at the b part of the formula y=mx+b, so -2.

Then, you can find -2 on the y-axis (the vertical axis)

and then you could move upwards 3 spaces, then right 1 space.

You would do this as the slope is 3/1 (the mx part of the equation).

Finally, you continue to move up 3, and right 1 until there are enough points on the graph to make a line, and that will help you see what graph is correct.

It should look something like this:

Answer:

20fish

Step-by-step explanation:

so 1/2 of 16 is 8

or 1/4 of 32 is 8

so 8+32=40

40 1/2 is 20

so 20 fish caught on Monday

The rate of change of the the given table is: 3/4soda per dollar.

Rate of change = change in total cost / change in number of sodas.

Using (24, 18) and (28, 21), we would have:

Rate of change = (21 - 18)/(28 - 24)

Rate of change = 3/4

Therefore, the rate of change is 3/4soda per dollar.

Learn more about the rate of change on:

https://brainly.com/question/8728504

#SPJ1

Answer: 15, 9

Step-by-step explanation:

By the corresponding angles theorem,

\(10x-6=8x+24\\\\2x-6=24\\\\2x=30\\\\x=15\\\\\)

Using vertical angles,

\(12y+36=10x-6\\\\12y+36=10(15)-6=144\\\\12y=108\\\\y=9\)

To obtain a score of 85% on a test worth 135 points, one needs to get 115 points. By using proportions, we get the required value.

A proportion is defined as an equality between two ratios.

Consider two ratios a:b and c:d. Then, the proportion we can write,

a: b = c : d

Then, the simplification we have for this proportion is

a/b = c/d or ad = bc

It is given that, a certain test is worth 135 points.

One to get 85% on this test, he/she needs to get X number of points.

So, we can write the proportions as

X : 135 = 85 : 100

⇒ X/135 = 85/100

⇒ X = 85/100 × 135

∴ X = 114.75 ≅ 115 points

Learn more about proportions at the following link:

https://brainly.com/question/140018

#SPJ4

Answer:

False

Step-by-step explanation:

Answer:

0.892

Step-by-step explanation:

The probability that it is raining and the flight is delayed is 0.008.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that, the probability that it will rain is 0.14 and the probability that the flight will be delayed is 0.06.

Let P(A)=0.14 and P(B)=0.06

Here, P(A and B)=P(A)×P(B)

=  0.14 ×0.06

= 0.0084

= 0.008

Therefore, the probability that it is raining and the flight is delayed is 0.008.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ2

The given sequence converges.

The limit of the given sequence is :  1/4.

The given sequence is an = tan(5n)/(3 + 20n).
To determine if the sequence converges or diverges, we can use the limit comparison test.
We know that lim n→∞ tan(5n) = dne, since the tangent function oscillates between -∞ and +∞ as n gets larger.
Thus, we need to find another sequence bn that is always positive and converges/diverges.

Let's try bn = 1/(20n).
Then, we have lim n→∞ (tan(5n)/(3 + 20n)) / (1/(20n))
= lim n→∞ (tan(5n) * 20n) / (3 + 20n)
= lim n→∞ (tan(5n) / 5n) * (5 * 20n) / (3 + 20n)
= 5 lim n→∞ (tan(5n) / 5n) * (20n / (3 + 20n))

Now, we know that lim n→∞ (tan(5n) / 5n) = 1, by the squeeze theorem.

And we also have lim n→∞ (20n / (3 + 20n)) = 20/20 = 1, by dividing both numerator and denominator by n.

Therefore, the limit comparison test yields:
lim n→∞ (tan(5n)/(3 + 20n)) / (1/(20n)) = 5

Since the limit comparison test shows that the given sequence is similar to a convergent sequence, we can conclude that the given sequence converges.

To find the limit, we can use L'Hopital's rule to evaluate the limit of the numerator and denominator separately as n approaches infinity:
lim n→∞ tan(5n)/(3 + 20n) = lim n→∞ (5sec^2(5n))/(20) = lim n→∞ (1/4)sec^2(5n) = 1/4.

Therefore, the limit of the given sequence is 1/4.

To learn more about sequences visit : https://brainly.com/question/28169281

#SPJ11

When two tables have a one-to-many relationship, you typically need to add a foreign key to the table on the "many" side to link the records to the corresponding record in the "one" table.

In a one-to-many relationship, the table on the "one" side is usually the primary key table, and the table on the "many" side is usually the foreign key table. The foreign key is used to link the records in the "many" table to the corresponding record in the "one" table. This is done by adding a column to the "many" table that contains the primary key value from the "one" table.

When designing a database, it is important to establish relationships between tables to ensure data integrity and avoid redundant data. In a one-to-many relationship, one record in the primary key table can be associated with many records in the foreign key table. To establish a one-to-many relationship, you need to create a primary key in the "one" table and a foreign key in the "many" table. The foreign key is a column that contains the primary key value from the "one" table. For example, if you have a "customers" table and an "orders" table, the "customers" table would be the primary key table and the "orders" table would be the foreign key table. Each record in the "orders" table would have a foreign key column that contains the customer ID from the "customers" table.

To know more than tables visit :-

https://brainly.com/question/14231889

#SPJ11

Answer:

a² + b² + c² - 2ab + 2bc - 2ac

Step-by-step explanation:

Answer:

\(b=\frac{c+2}{a}\:\)

Step-by-step explanation:

\(ab-c=2\\\\\add(c)\\\\ab=2+c\\\\divide(a)\\\)

\(\frac{c+2}{a}\:\)

Answer: a) it will cost him $4.13 rounded

B)about 36

C)$ 0.19 (rounded) per potato

Based on the information, the probability that the entire batch will be rejected is  

C. 0.6000

The probability that the entire batch will be rejected is equal to the probability that at least one of the 11 clock radios tested is defective. This can be calculated as follows:

The probability that all 11 clock radios tested are not defective is (0.92)¹¹

=0.40

The probability that at least one of the 11 clock radios tested is defective is:

= 1 - 0.40

=0.60

Therefore, the probability that the entire batch will be rejected is 0.60

Learn more about probability on

https://brainly.com/question/24756209

#SPJ4

Answer:1) commutative property of addition

Step-by-step explanation:

The probability of randomly drawing three balls numbered 10, 5, and 6 without replacement from a bucket containing 12 balls numbered 1 through 12 is \(\(\frac{1}{220}\)\) or approximately 0.004545 (rounded to the nearest millionth).

To calculate the probability, we need to determine the number of favourable outcomes (drawing balls 10, 5, and 6 in that order) and the total number of possible outcomes. The first ball has a 1 in 12 chance of being ball number 10. After that, the second ball has a 1 in 11 chance of being ball number 5 (as one ball has been already drawn). Finally, the third ball has a 1 in 10 chance of being ball number 6 (as two balls have already been drawn).

Therefore, the probability of drawing these three specific balls in the specified order is \(\(\frac{1}{12} \times \frac{1}{11} \times \frac{1}{10} = \frac{1}{220}\)\) or approximately 0.004545.

To learn more about probability refer:

https://brainly.com/question/25839839

#SPJ11

Answer:

89.9 inches

Step-by-step explanation:

√(78.4)²+(44.1)² =√6146.56 + 1944.81

=√8091.37= 89.9 inches

Joe is incorrect in claiming that he scored better than 80% of the people who took the test.

The 20th percentile means that Joe's score was equal to or greater than 20% of the other test takers, but lower than 80%. The percentile is not a percentage, so the statement Joe made is false.

It is important to understand that percentile rankings are not the same as percentages. Percentile rankings measure how one’s score compares to others who have taken the same test. For example, if Joe scored in the 20th percentile, it means that 20% of the other test takers had the same or lower scores. On the other hand, percentages measure a proportion of the whole. In Joe's case, 80% would mean that 80 out of 100 test takers had a higher score than Joe.

To be more accurate, Joe could have said that he scored better than 20% of the people who took the test. Percentile rankings are often used to measure an individual's performance in comparison to a larger group of peers. Although Joe might have performed well, it is important to understand the difference between percentile and percentage.

See more about percentile at: https://brainly.com/question/27903388

#SPJ11

.................period

The number of employees who judge their cleanliness in their workplaces are: P(x=0) = 0.0168, P(x=1)= 0.0896, P(x=2) =0.2090, P(X=3)= 0.2787,

P(X=4)= 0.2322, P(X=5)= 0.1239, P(X=6)= 0.0413, P(x= 7)= 0.0079 and P(x=8)= 0.0007.

Binomial distribution :

A binomial distribution is a distribution whose experiment has two possible outcomes, a success and failure. The outcomes of the experiment do not depend on each other. In probability theory and statistics, the binomial distribution with the parameters n and p is a discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes or no question, each with its own Boolean result. : success (with probability p) or failure (with probability q=1-p). A pass/fail experiment is also called Bernoulli's trial or Bernoulli's experiment, and a sequence of results is called Bernoulli's process; for a single trial, i.e. n = 1, the binomial distribution is the Bernoulli distribution.

According to the Question:

For n trials in a binomial distribution, the probability of getting success:

\(P(X=x) = \frac{n!}{(n-x)!x!} * p^x *q^{(n-x)}\)

Where p = success

q = failure

n = 8, p= 40% = 0.4

q = 1-0.4 = 0.6

After calculating, we get the values:

P(x=0) = 0.0168,                               P(x=1)= 0.0896,

P(x=2) =0.2090,                               P(X=3)= 0.2787,

P(X=4)= 0.2322,                               P(X=5)= 0.1239,

P(X=6)= 0.0413,                                P(x= 7)= 0.0079

and P(x=8)= 0.0007.

Complete Question:

40% of employees judge their peers by the cleanliness of their workspaces. You randomly select 8 employees and ask them whether they judge their peers by the cleanliness of their workspaces. The random variable represents the number of employees who judge their peers by the cleanliness of their workspaces.

P(x)=0,1,2,3,4,5,6,7, 8

Learn more about Number:

https://brainly.com/question/17429689

#SPJ4

Answer:

see explanation

Step-by-step explanation:

Using the translation rule (x, y ) → (x - 2, y + 4 )

Subtract 2 from the original x- coordinate and add 4 to the original y- coordinate, thus

A(0, 3 ) → A'(0 - 2, 3 + 4 ) → A'(- 2, 7 )

B(- 2, - 4 ) → B'(- 2 - 2, - 4 + 4 ) → B'(- 4, 0 )

C(1, 5 ) → C'(1 - 2, 5 + 4 ) → C'(- 1, 9 )

The expressions that will give you a difference of 5 are: -3 - (-8) and 1 - (-4).

The difference of two expressions is determined by subtracting one from the other.

Find the difference of each of the expressions given to determine which will give us 5.

-3 - (-8)

= -3 + 8

= 5

-2 - 3 = -5 [this is not the same as 5]

1 - (-4)

= 1 + 4

= 5

7 - (-2)

= 7 + 2

= 9

-3 - (-8) and 1 - (-4) will give us a difference of 5.

Learn more about Difference of Two Expressions on:

https://brainly.com/question/28986379

#SPJ1

Answer:  B) 115 pounds

Step-by-step explanation:

Because x is the number of days passed, after 21 days, x = 21.

\(y = -15(21)+430\\\\Multiply\\\\y = -315+430\\\\y=115\)

Hope it helps <3

Answer:

115

Step-by-step explanation:

got it correct on edge 2020