Like has played 20 games and has a 95% winning percentage. Without losing anymore games how many games must he win in a row to get a 96% winning percentage

A) 1

B) 3

C) 4

D) 5

E) 10

Answers

Answer 1

Answer:

C) 4

Step-by-step explanation:


Related Questions

Solve the equation. 3t + 8 = 6t - 13

Answers

Answer:

7

Step-by-step explanation:

6t-3t=13plus8

3t=21

t=21/3

t=7

hope it helps

Answer:

t = 7

Step-by-step explanation:

3t + 8 = 6t - 13

Subtract 6t on both sides.

3t + 8 - 6t = 6t - 13 - 6t

-3t + 8 = - 13

Subtract 8 on both sides.

-3t + 8 - 8 = - 13 - 8

-3t = - 21

Divide both sides by -3.

(-3t)/-3 = -21/-3

t = 7


What is the square root of 64y16?
4y4
4y8
8y4
8y8

Answers

Answer: 8y⁸

Step-by-step explanation:

To find the square root of the expression, you want to find the square root of each term.

The square root of 64 is 8. You can write y¹⁶ as (y⁸)². We can pull out this 2 from the square root because it cancels out with the square root. Therefore, the answer is 8y⁸.

There are 80 students in a school. Every student is taking either algebra or pre-calculus, and some students are taking both. There are 60 students in the algebra class. If 15 students are taking both algebra and pre-calculus, what is the probability that a randomly selected student is taking pre-calculus but not algebra?

Answers

Answer:

1/4

Step-by-step explanation:

Total students = 80

Students taking both classes =  15

Students taking algebra class = 60

Students taking only algebra class = 60 - 15 = 45

Students taking only pre-calculus class = 80- (45+15) = 80 - 60 = 20

P( students taking pre-calculus but not algebra) = 20/80 = 1/4

                         

What kind of graph is characterized by presenting values as coordinate points without any connecting element? a. bar graph b. line graph c. scatter plot d. histogram

Answers

Answer:

Option C, Scatter Plot. Hope this helps!

Step-by-step explanation:

Answer:

The answer is C on edge 2020.

Step-by-step explanation:

A rectangular park is 8 miles long and 6 miles wide. How long is a pedestrian route that runs diagonally across the park?

Answers

Hey there! :)

Answer:

10 miles.

Step-by-step explanation:

To solve for the diagonal side, we can simply visualize the sides of the rectangle as sides of a right triangle with the diagonal being the hypotenuse.

We can use the Pythagorean Theorem (a² + b² = c²), where:

a = length of short leg

b = length of long leg

c = length of the diagonal

Solve:

c² = a² + b²

c² = 6² + 8²

c² = 36 + 64

c² = 100

c = 10 miles. This is the length of the pedestrian route.

Answer:

10 miles

Solution,

Hypotenuse (h) = R

Perpendicular (p) = 8 miles

Base (b) = 6 miles

Now,

Using Pythagoras theorem:

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

Plugging the values:

[tex] {r}^{2} = {(8)}^{2} + {(6)}^{2} [/tex]

Calculate:

[tex] {r}^{2} = 64 + 36[/tex]

[tex] {r}^{2} = 100[/tex]

[tex]r = \sqrt{100} [/tex]

[tex]r = 10 \: miles[/tex]

Length of route = 10 miles

Hope this helps...

Good luck on your assignment...

If x = 2, then 2x = 4

Answers

Answer:

4 = 4

Step-by-step explanation:

=> 2x = 4

Putting x = 2

=> 2(2) = 4

=> 4 = 4

Answer:

True

Solution,

X= 2

Now,

2x=4

plugging the value of X,

2*2= 4

4 = 4 ( hence it is true)

g a) What are some of the distinguishing properties of a normal Distribution? Discuss b) The sampling distribution of the sample means is the curve that describes how the sample means are distributed. True or False Explain c) The mean of sample means is the same as the population for a given sample of size n. True False Explain

Answers

Answer:

a) Check Explanation.

b) True. Check Explanation.

c) True. Check Explanation.

Step-by-step explanation:

a) A normal distribution is one which is characterized by four major properties.

- A normal distribution is symmetrical about the center of the distribution. That is, the variables spread out from the center in both directions in the same manner; the right side of the distribution is a mirror image of the left side of the distribution.

The center of a normal distribution is located at its peak, and 50% of the data lies above the mean, while 50% lies below.

- The mean, median and the mode are coincidental. The mean, median and mode of a normal distribution are all the same value.

- A normal distribution is unimodal, that is, has only one mode.

- The ends of the probability curve of a normal distribution never touch the x-axis, hence, it is said too be asymptotic.

b) The sampling distribution of sample means arises when random samples are drawn from the population distribution and their respective means are computed and put together to form a distribution. Hence, the curve of this sampling distribition of sample means will show how the sample means are distributed. Hence, this statement is true.

c) The Central Limit Theorem gives that if the samples are drawn randomly from a normal distribution and each sample size is considerable enough, the mean of the sampling distribution of sample means is approximately equal to the population mean. So, if the conditions stated are satisfied, then thos statement too, is true.

Hope this Helps!!!

I NEED HELP PLEASE, THANKS! :)

Answers

Hey there! :)

Answer:

d ≈ 3.49 units

Step-by-step explanation:

Use the distance formula for polar coordinates to determine the distance:

[tex]d = \sqrt{r_{1} ^{2}+r_{2} ^{2}-2r_{1}r_{2}cos(0_{1}- 0_{2} ) }[/tex] (The '0' is supposed to be theta)

Plug in the values given in the question. Convert radians to degrees to simplify the process.

217π/180 = 217°

-23π/36 = -115°.

Therefore:

[tex]d = \sqrt{7 ^{2}+5 ^{2}-2(7)(5)cos(217-(-115) ) }[/tex]

Begin simplifying:

[tex]d = \sqrt{74-70cos(332) }[/tex]

[tex]d = \sqrt{74-61.81 }[/tex]

Solve:

[tex]d = \sqrt{12.19 }[/tex]

d ≈ 3.49 units

Assume that adults have IQ scores that are normally distributed with a mean of 104 and a standard deviation of 15. Find the third quartile Upper Q 3 ​, which is the IQ score separating the top​ 25% from the others. Click to view page 1 of the table. LOADING... Click to view page 2 of the table. LOADING... The third​ quartile, Upper Q 3 ​, is nothing . ​(Round to one decimal place as​ needed.)

Answers

Answer:

z = (X-Mean)/SD

X = Mean + (z*SD)

The z value which separates the bottom 75% (100%-25%) from the top 25% is + 0.6745

Therefore, Q3 = X = 107 + (0.6745*16) = 117.8

Step-by-step explanation:

What is the quotient 15p^-4q^-6/-20p^-12q^-3 in simplified form?

Answers

Answer:

-3p^8/4q^3

Step-by-step explanation:

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The figure shows eight congruent triangles made by dividing a square that has an area of 64 cm2. What is the area of ABH? A. 20 cm2 B. 16 cm2 C. 8 cm2 D. 6 cm2 E. 4 cm2

Answers

Answer:

the answer is C.

Step-by-step explanation:

64 ÷ 8 = 8

Answer:

c- 8cm squared

Step-by-step explanation:

plato

While starting salaries have fallen for college graduates in many of the top hiring fields, there is some good news for business undergraduates with concentrations in accounting and finance (Bloomberg Businessweek, July 1, 2010). According to the National Association of Colleges and Employers’ Summer 2010 Salary Survey, accounting graduates commanded the second highest salary at $50,402, followed by finance graduates at $49,703. Let the standard deviation for accounting and finance graduates be $6,000 and $10,000, respectively.

a. What is the probability that 100 randomly selected accounting graduates will average more than $52,000 in salary?

b. What is the probability that 100 randomly selected finance graduates will average more than $52,000 in salary?

c. Comment on the above probabilities.

Answers

Answer:

Step-by-step explanation:

According to the central limit theorem, if independent random samples of size n are repeatedly taken from any population and n is large, the distribution of the sample means will approach a normal distribution. The size of n should be greater than or equal to 30. Given n = 100 for both scenarios, we would apply the formula,

z = (x - µ)/(σ/√n)

a) x is a random variable representing the salaries of accounting graduates. We want to determine P( x > 52000)

From the information given

µ = 50402

σ = 6000

z = (52000 - 50402)/(6000/√100) = 2.66

Looking at the normal distribution table, the probability corresponding to the z score is 0.9961

b) x is a random variable representing the salaries of finance graduates. We want to determine P(x > 52000)

From the information given

µ = 49703

σ = 10000

z = (52000 - 49703)/(10000/√100) = 2.3

Looking at the normal distribution table, the probability corresponding to the z score is 0.9893

c) The probabilities of either jobs paying that amount is high and very close.

Tublu buys a cylindrical water tank of height 1.4m and diameter 1.1m to catch rainwater off his roof. He has a full 2 litres tin of paint in his store and decides to paint the tank (not the base). If he uses 250 ml to cover 1 m2, will he have enough paint to cover the tank with one layer of paint? [take π=3.142]

Answers

Answer:

Tublu has more than enough paint to cover the tank surface in one layer coating

Step-by-step explanation:

Height of the cylinder = 1.4 m

diameter of the cylinder = 1.1 m

total volume of paint available = 2 litres

It takes 250 ml to cover 1 m^2 of the tank body

Since only the body is to be painted, we find the perimeter of the circle formed by the body of the tank.

perimeter of the circle formed by the body of the  tank = [tex]\pi d[/tex]

==> 3.142 x 1.1 = 3.456 m

This perimeter, if spread out, will form a rectangle with a height of 1.4 m from the base.

The area of the rectangle that will be formed =  (perimeter of the cylinder body) x ( height of the cylinder)

==> 3.456 x 1.4 = 4.838 m^2

This is the area that needs to be painted.

Converting the paint volume,

250 ml = 0.25 litres

To paint the above calculated are, we will need 4.838 x 0.25 = 1.21 litres of paint, (of course, excluding the base)

The volume of paint available = 2 litres

volume of paint needed = 1.21 litres

Tublu has more than enough paint to cover the tank surface in one layer coating

The product of an irrational number and a rational number is irrational. Sometimes True Always True Never True

Answers

Answer:

  Always true

Step-by-step explanation:

If you can't express the number as a ratio of integers, multiplying or dividing it by integers will not make it so you can.

If π is irrational, 2π is also irrational.

It is always true that the product of a rational and an irrational number is irrational.

Answer:

all ways true

Step-by-step explanation:

IS this table linear?? Can someone please explain???? What would the weight be if the number of weeks in the fitness program was 0???

Answers

Answer:

not linearsomewhere between 184 and 186 (maybe)

Step-by-step explanation:

As you show, the weight differences are different for the same week differences, so the table is not linear. A graph (attached) can also show you the table is not linear.

__

The highest rate of weight loss shown in the table is 7 lbs in 3 weeks, or 4 2/3 pounds in 2 weeks. The lowest rate of weight loss shown in the table is 5 lbs in 3 weeks, or 3 1/3 pounds in 2 weeks. Based on the rates shown in the table, we might expect the starting weight to be between 3 1/3 and 4 2/3 pounds more than the first table value:

  Week 0 weight: between 184 1/3 and 185 2/3 lbs, estimated.

_____

A "line of best fit" for the data has a y-intercept of about 185 pounds, which is the midpoint between our two estimates above.

A cinema can hold 270 people at one performance 5/9 of the seats were occupied of the occupied seats 40% we occupied by concessionary ticket holders

Answers

Question:

A cinema can hold 270 people at one performance 5/9 of the seats were occupied of the occupied seats 40% we occupied by concessionary ticket holders.

What is the number of seats occupied by concessionary ticket holders?.

Answer:

60 seats

Step-by-step explanation:

Given

Number of seats = 270

Occupied Seats = 5/9

Concessionary ticket holders = 40% of occupied Seats

Required

The number of seats occupied by concessionary ticket holders

First the number of occupied seat has to be calculated.

[tex]Occupied\ Seats = \frac{5}{9} * 270[/tex]

[tex]Occupied\ Seats = \frac{1350}{9}[/tex]

[tex]Occupied\ Seats = 150[/tex]

Next is to determine the number of seats occupied by concessionary ticket holders.

[tex]Number = 40\%\ of\ occupied\ seats[/tex]

[tex]Number = 40\%\ of\ 150[/tex]

Convert percentage to decimal

[tex]Number = 0.4 * 150[/tex]

[tex]Number = 60[/tex]

Hence, 60 seats were occupied by concessionary ticket holders.

A 32-cup bottle of fabric softener costs $21.12. What is the price per quart?

Answers

2 dollars is the correct answer...

Hope this helps......

The stem-and-leaf plot below shows the height of 15 sunflowers grown in the
school garden. The heights are given in inches.

Answers

Answer:

30 is not included

Step-by-step explanation:

The way this stem works is that it separates the numbers for better sorting.

Example:

Set that records 11, 12, 24, 28, 32, 32

The stem and leafs would look like

1    1 2

2   4 8

3   2 2

The sampled bold number indicates that 2 and 8 make up 28.

If you look at the plot, there was no 3 and 0 that would make 30. So that does not exist.

(01.03 MC) Find the value of the following expression.

Answers

Answer:

[tex]\frac{16}{9}[/tex].

Step-by-step explanation:

[tex](2^8*3^{-5}*6^0)^{-2}*(\frac{3^{-2}}{2^3})^4*2^{28}\\ (2^8*\frac{1}{3^5}*1)^{-2}*\frac{\frac{1}{3^8} }{\frac{2^{12}}{1} }*2^{28} \\ (\frac{2^8}{3^5})^{-2} * \frac{1}{2^8*3^{12}} *2^{28}\\ \frac{1}{\frac{2^8*2}{3^{5*2}} } * \frac{1}{2^8*3^{12}} *2^{28}\\ \frac{\frac{1}{1} }{\frac{2^{16}}{3^{10}} } * \frac{1}{2^8*3^{12}} *2^{28}\\ \frac{3^{10}}{2^{16}} * \frac{1}{2^8*3^{12}} *2^{28}\\ \frac{2^{28}}{2^{24}*3^2} = \frac{2^4}{3^2}=\frac{16}{9}[/tex]

Find all solutions of the given system of equations and check your answer graphically. HINT [See Examples 2–5.] (If there is no solution, enter NO SOLUTION. If the system is dependent, express your answer in terms of x, where y = y(x).) 3x + 2y = 20 2x + 3y = 20 (x, y) = (No Response)

Answers

Answer:

( x, y ) = ( -20, 20 )

Step-by-step explanation:

Given data

Y = y(x)

3x + 2y = 20 ---------- equation 1

2x + 3y = 20 ---------- equation 2

find (x, y )

solving equation 1 and equation 2

3x + 2y = 20 * 2 = 6x + 2y = 40 --------- EQUATION 3

2x + 3y = 20 * 3 =  6x + 3y = 60 --------- EQUATION 4

cancelling out ( x )

Add both equation 3 and equation 4

5y = 100.  hence  y = 100/5 = 20

back to equation equation 2

2x + 3(20) = 20

2x = - 40

x = -20

attached is the graph  to check the answer

Rachel measured the lengths of a random sample of 100 screws. The mean length was 2.9 inches, and the population standard deviation is 0.1 inch. To see if the batch of screws has a significantly different mean length from 3 inches, what would the value of the z-test statistic be?

Answers

Answer:

z = 10

Step-by-step explanation:

The value of the z-statistic is given by:

[tex]z = \frac{X - \mu}{s}[/tex]

In which:

X is the measured value.

[tex]\mu[/tex] is the expected value.

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex] is the standard deviation of the sample. [tex]\sigma[/tex] is the standard deviation of the population.

In this question:

The mean length was 2.9 inches, and the population standard deviation is 0.1 inch.

This means that [tex]\mu = 2.9, \sigma = 0.1[/tex]

Random sample of 100 screws.

This means that n = 100.

To see if the batch of screws has a significantly different mean length from 3 inches, what would the value of the z-test statistic be?

3 inches, so [tex]X = 3[/tex]

[tex]s = \frac{0.1}{\sqrt{100}} = 0.01[/tex]

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{3 - 2.9}{0.01}[/tex]

[tex]z = 10[/tex]

Answer:

-10

Step-by-step explanation:

If we first note the denominator of fraction numerator sigma over denominator square root of n end fraction equals fraction numerator 0.1 over denominator square root of 100 end fraction equals fraction numerator begin display style 0.1 end style over denominator 10 end fraction equals 0.01

Then, getting the z-score we can note it is z equals fraction numerator x with bar on top minus mu over denominator begin display style 0.01 end style end fraction equals fraction numerator 2.9 minus 3 over denominator 0.01 end fraction equals negative 10

This tells us that 2.9 is 10 standard deviations below the value of 3, which is extremely far away.

A new machine is known to reduce pollutants. However, it is expensive. The EPA estimates that one-third of plants has this new machine. What is the probability that fewer than 10% of the plants in the random sample own this machine?

Answers

Answer:

0.05%

Step-by-step explanation:

The sample size is missing, which I investigated and seems to be 45, the same if it is not 45, you can change this value nothing else, the procedure is totally the same.

sample size = n = 45

population proportion = 0.3333

compute Pr (p <= 0.10) from the information, we calculate the standard deviation like this:

sd = (p * (1-p) / n) ^ (1/2)

replacing we have:

sd = (0.333 * (1-0.3333) / 45) ^ (1/2)

sd = 0.0702

Here notice that

np = 45 * (0.3333) = 15 => 10

n * (p-1) = 45 * (0.6676) = 30 => 10

which indicate that the assumption for normal approximation for the sampling distribution is met:

Pr (p <= 0.10) = Pr [(p * - 0.3333) /0.0702 <= (0.10 - 0.3333) /0.0702]

Pr (p <= 0.10) = Pr (z <= -3.32)

this value represents in the table of z (attached) 0.0005

Therefore the required probability is 0.05%

Good Morning can I get some help please?​

Answers

Answer:

5x + 10 = 25

Subtract 10 on each side to make x alone

5x = 15

divide by 5 on each side

x=3 so x=3

3x + 12 = 48

48-12=36

3x=36

divide by 3

x=12

4x + 8 = 16

4x = 8

x=2

2x + 15=25

2x=10

x=5

5x + 20 = 50

5x=30

x=6

hope this helps

1. 3

2.12

3.2

4.5

5.6

Step-by-step explanation:

Answer:

x = 3x = 12x = 2x = 5x = 6

Step by step explanation

First:

Move the constant to the Right Hand Side and change its signCalculate the differenceDivideCalculate

Solution,

1. 5x + 10 = 25

Move constant to the R.H.S and change its sign:

5x = 25 - 10

Calculate the difference

5x = 15

Divide both sides by 5

5x/5 = 15/5

calculate

X = 3

2. 3x + 12 = 48

or, 3x = 48 - 12

or, 3x = 36

or, 3x/x = 36/3

x = 12

3. 4x + 8 = 16

or, 4x = 16 - 8

or, 4x = 8

or, 4x/x = 8/4

x = 2

4. 2x + 15 = 25

or, 2x = 25 - 15

or, 2x = 10

or, 2x/x= 10/2

x = 5

5. 5x + 20 = 50

or, 5x = 50-20

or, 5x = 30

or, 5x/x = 30/5

x = 6

Hope this helps...

Good luck on your assignment...


[tex]2x + 3y < 45[/tex]

Answers

Answer:

Hello!

~~~~~~~~~~~~~~~``

Simplifying

2x + 3y = 45

Solving

2x + 3y = 45

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3y' to each side of the equation.

2x + 3y + -3y = 45 + -3y

Combine like terms: 3y + -3y = 0

2x + 0 = 45 + -3y

2x = 45 + -3y

Divide each side by '2'.

x = 22.5 + -1.5y

Simplifying

x = 22.5 + -1.5y

Hope this helped you! Brainliest would be nice.

If <10 and <15 are congruent, which lines are parallel? A.lines b and c B.lines c and d C.lines a and b D.No lines are parallel. - Refer to second picture. Given the information in the diagram, determine if M ll N If so, give the theorem or postulate used to support your conclusion. A.yes; converse of the consecutive interior angles theorem B.yes; converse of the alternate interior angles theorem C.yes; converse of the corresponding angles postulate D.no

Answers

Problem 1

Answer: C. lines a and b

Explanation: Circle or highlight the angles 10 and 15. They are alternate interior angles with line d being the transversal cut. It might help to try to erase line c to picture the transversal line d better. With d as the transversal, and angles 10 and 15 congruent, this must mean lines a and b are parallel by the alternate interior angle theorem converse.

==============================================

Problem 2

Answer: D. no

Explanation: The angles at the top are 32 degrees, 90 degrees, and x degrees which is the missing unmarked angle at the top (all three angles are below line m). The three angles must add to 180 to form a straight angle

32+90+x = 180

x+122 = 180

x = 180-122

x = 58

The missing angle is 58 degrees. This is very close to 57 degrees at the bottom. Though we do not have an exact match. This means lines m and n are not parallel. The alternate interior angles must be congruent for m and n to be parallel, as stated earlier in problem 1.

A market research company conducted a survey to find the level of affluence in a city. They defined the category "affluence" for people earning $100,000 or more annually. Out of 267 persons who replied to their survey, 32 are considered affluent. What is the 95% confidence interval for this population proportion? Answer choices are rounded to the hundredths place

Answers

Answer:

A 95% confidence interval for this population proportion is [0.081, 0.159].

Step-by-step explanation:

We are given that a market research company conducted a survey to find the level of affluence in a city.

Out of 267 persons who replied to their survey, 32 are considered affluent.

Firstly, the pivotal quantity for finding the confidence interval for the population proportion is given by;

                            P.Q.  =  [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex]  ~ N(0,1)

where, [tex]\hat p[/tex] = sample proportion of people who are considered affluent = [tex]\frac{32}{267}[/tex] = 0.12

            n = sample of persons = 267

            p = population proportion

Here for constructing a 95% confidence interval we have used One-sample z-test for proportions.

So, 95% confidence interval for the population proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5% level

                                                    of significance are -1.96 & 1.96}  

P(-1.96 < [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < 1.96) = 0.95

P( [tex]-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < [tex]{\hat p-p}[/tex] < [tex]1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.95

P( [tex]\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < p < [tex]\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.95

95% confidence interval for p = [ [tex]\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] , [tex]\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ]

    = [ [tex]0.12-1.96 \times {\sqrt{\frac{0.12(1-0.12)}{267} } }[/tex] , [tex]0.12+1.96 \times {\sqrt{\frac{0.12(1-0.12)}{267} } }[/tex] ]

    = [0.081, 0.159]

Therefore, a 95% confidence interval for this population proportion is [0.081, 0.159].

Answer:

0.08 to 0.16

Step-by-step explanation:

Find the value of s(t(-3)):
s(x) = - 3x-2
t(x) = 5x - 4
Please helppp!

Answers

Answer:

(-3x-2/x) multiply by (-15x+12/x) so It's (A)

Hope this helped you!!

Step-by-step explanation:

Write an expression that is divisible by 7. Use it to find two three-digit numbers numbers divisible by 7.

Answers

Answer:

7x+7 is obviously divisible by 7.

put in any value high enough and you can find the two three digit numbers.

Step-by-step explanation:

Two three-digit numbers divisible by 7 are 98 and 105.

Two three-digit numbers divisible by 7 are 98 and 105.To create an expression that is divisible by 7, we can use the property that the difference between two numbers is divisible by 7 if the numbers themselves are divisible by 7.

Let's represent a three-digit number divisible by 7 as "7k" where k is an integer. To find two three-digit numbers divisible by 7, we can use the following expression:

7k - 7

For example, if we substitute k = 15, we get:

7(15) - 7 = 105 - 7 = 98

So, the first three-digit number divisible by 7 is 98.

Similarly, for the second three-digit number, let's substitute k = 16:

7(16) - 7 = 112 - 7 = 105

Therefore, the two three-digit numbers divisible by 7 are 98 and 105.

To know more about divisible, refer here:

https://brainly.com/question/5372121

#SPJ2

The function f(x) = x^2+4 is defined over the interval (-2,2). If the interval is dived into n equal parts what is the height of the right endpoint of the kth rectangle?

Answers

Answer:

Option (A).

Step-by-step explanation:

The function f(x) = x² + 4 is defined over the interval (-2, 2)

Total number of equal parts between this interval = 5

If the interval is divided into n equal parts, height of the right endpoint of each rectangle = [tex]\frac{5}{n}[/tex]

Height of the endpoint of the k rectangles = [tex]k.\frac{5}{n}[/tex]

Therefore, height of the endpoint of the kth rectangle = Height of first rectangle + height of k rectangles

= -2 + [tex]k.\frac{5}{n}[/tex]

Option (A). will be the answer.

The height of the right endpoint of the kth rectangle h = -2 + k (5/n)

What is the height?

The height is a vertical distance between two points. In the case of the triangle, the height will be the distance between the base and the top vertex of the triangle.

The function f(x) = x² + 4 is defined over the interval) (-2, 2 )

Total number of equal parts between this interval = 5

If the interval is divided into n equal parts, the height of the right endpoint of each rectangle = (5/n)

Height of the endpoint of the k rectangles = k (5/n)

The height of the endpoint of the kth rectangle:-

= Height of first rectangle + height of k rectangles

= -2   +  k (  5/n )

Therefore the height of the right endpoint of the kth rectangle h = -2 + k (5/n)

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Answers

Answer:

see explanation

Step-by-step explanation:

Given

f(x) = 60 × [tex]16^{x}[/tex]

x = 1 → f(1) = 60 × 16 = 960 ← bacteria present after 1 day

x = 2 → f(2) = 60 × 16² = 15360 ← bacteria present after 2 days

x = 3 → f(3) = 60 × 16³ = 245760 ← bacteria present after 3 days

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