Consider the following table that describes the mass of a kitten as weeks go by. If you know the kitten grows by 10% each week for the first 5 weeks, fill in the table for the values each week.

Week Mass (grams)
(start) 80
1
2
3
4

Answer:

It is six cm。

Step-by-step explanation:

The difference in the maximum values of the functions ​g(x) ​and ​f(x)​ is 3

The functions are given as

f(x) = -(x - 3)² + 9

Table of g(x)

x    −3 −4 −2 0 −1  4

g(x) 0   8   1  12  2  8

The maximum value of f(x) is when the root expression is 0

i.e. -(x - 3)² = 0

So, we have

Max f(x) = 0 + 9

Max f(x) = 9

For the table of values, we have

Max g(x) = 12

The difference between these values is

Difference = 12 - 9

Evaluate

Difference = 3

Hence, the difference is 3

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Answer:

the vertex is (-5,1)

Step-by-step explanation:

hoped I helped:)

Answer:

  -10, -1

Step-by-step explanation:

To complete the square, we add the square of half the x-coefficient:

  x^2 +11x +5.5^2 = -10 +5.5^2

  (x +5.5)^2 = 20.25

Taking the square root, we get ...

  x +5.5 = ±4.5

  x = -5.5 ±4.5 = {-10, -1}

The solutions are x = -10 and x = -1.

A. The margin of error for a 99% confidence interval is $$2,320.75.

B. The confidence interval for the mean starting salary of college graduates who have taken a statistics course is CI = $42,462.25 to $47,103.75

PART A.

The margin of error (ME) is determined using the formula:

ME= z ∗ σ/√n

where:

z is the z-score for the desired confidence level

σ is the population standard deviation

n is the sample size

For a 99% confidence level, the z-score is 2.576. The population standard deviation is $10,272, and the sample size is 130.

Substituting these values into the formula, we have:

ME =  2.576 ∗ 10272/√130

ME = $2,320.75

PART B

The confidence interval (CI) is determined using the formula:

CI = \(\bar{x}\) ± ME

where:

\(\bar{x}\) is the sample mean

ME is the margin of error

The sample mean is $44,783, and the margin of error is $2,320.75.

Substituting the values into the formula, we get:

CI= 44783 ± 2320.75

CI = $42,462.25 to $47,103.75

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Answer:

Properties of a Rectangular Prism : A rectangular prism has 8 vertices, 12 sides and 6 rectangular faces. All the opposite faces of a rectangular prism are equal.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A

Answer:

Q9 -  Option 1---- A -  15.6 Square Units

Q10 --Option --- (B) RECTANGLE

Step-by-step explanation:

Q9 --

we know area of triangle  = 1/2 ab sin theta

Where theta is the angle included between sides A and side B

A  = 5.2

B = 7

theta  = 121 degrees

1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units

Conclusion

The area of the triangle is 15.6 Square Units

Option --- (B) RECTANGLE

Hope this helps!

Answer:

divide 90 and 30 to see what you got

Step-by-step explanation:

(a) The 95% confidence interval for the mean of the compressive strength is 4885.1 < μ < 5054.9.

(b) The 95% confidence interval for the mean of compressive strength is 4975.2 < μ < 5012.4.

a) We have to find the 95% confidence interval for the mean of the compressive strength.

we are given

x = sample mean = 4970

n = sample size = 9

σ = population standard deviation = 130

The 95% confidence interval for population mean is

x - Z​​​​​​a/2*(σ/√n) < μ < x + Z​​​​​​a/2*(σ/√n)

For a = 0.05 Z​​​​​​a/2 = Z​​​​​​0.025 = 1.96

4970 - 1.96*(130/√9) < μ < 4970 + 1.96*(130/√9)

4885.1 < μ < 5054.9

Hence, the 95% confidence interval for the mean of the compressive strength is 4885.1 < μ < 5054.9.

b) We have to find the 95% confidence interval for the mean of the compressive strength.

Since the population's standard deviation is unknown in this instance, the population mean's t confidence interval is used.

From the data n = 9

X = sample mean = 4993.8

s = sample standard deviation = 24.2

For a= 0.05 and degree of freedom = n -1 = 8

t​​​​​​a/2 , n-1 = t​​​​​​0.025,8 = 2.306

x - t​​​​​​a/2*(s/√n) < μ < x + t​​​​​​a/2*(s/√n)

4993.8 - 2.306*(24.2/√9) < μ < 4993.8 + 2.306*(24.2/√9)

4975.2 < μ < 5012.4

Hence, the 95% confidence interval for the mean of compressive strength is 4975.2 < μ < 5012.4.

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The complete question is:

A new cure has been developed for a certain type of cement that should change its mean compressive strength.

a) It is known that the standard deviation of the compressive strength is 130 kg/cm^2 and that we may assume that it follows a normal distribution. 9 chunks of cement have been tested and the observed sample mean is X = 4970. Find the 95% confidence interval for the mean of the compressive strength.

b) Now, assume that we do not know the standard deviation of the normal distribution. 9 chunks of cement have been tested, and the measurements are 5001, 4945, 5008, 5018, 4991, 4990, 4968, 5020, 5003. Find the 95% confidence interval for the mean of the compressive strength.

The factored expression of 4x³ - 2x² + 8x - 4 is (2x² + 4)(2x - 1) by grouping

From the question, we have the following parameters that can be used in our computation:

4x³ - 2x² + 8x - 4

Group the expression in 2's

So, we have

(4x³ - 2x²) + (8x - 4)

Factorize each group

2x²(2x - 1) + 4(2x - 1)

So, we have

(2x² + 4)(2x - 1)

Hence, the factored expression is (2x² + 4)(2x - 1)

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Answer: (-7, 4)

1- the x-coordinate of the reflected point is the same as the x-coordinate of the original point

2- the y-coordinate of the reflected point has the same value but opposite sign of the y-coordinate of the original point

Answer:

A 3.00/12=.25 ea

B 7.50/3=2.50/1lb

C 2.00/4=.50ea

S 3.50/10=.35/ea

Here you go! Hope it helps.

Please consider brainly for my answer.

Thank you -= Miss Hawaii

Answer:

942 square millimeters.

Step-by-step explanation:

The formula for the surface area of a cylinder is:

S = 2πr^2 + 2πrh

where S is the surface area, r is the radius, and h is the height.

Substituting the given values, we get:

S = 2 x 3.14 x 10^2 + 2 x 3.14 x 10 x 5

S = 628 + 314

S = 942

Therefore, the surface area of the cylinder is 942 square millimeters.

Answer:

\( {( \sqrt{ {x}^{ - 3} }) }^{5} = ({( {x}^{ - 3}) }^{ \frac{1}{2} } ) ^{5} \\ \\ = {x}^{ - 3 \times \frac{1}{2} \times 5} = {x}^{ - \frac{15}{2} } = \frac{1}{ {x}^{ \frac{15}{2} } } \)

Or ;

\( {( \sqrt{ {x}^{ - 3} } )}^{5} = {( \sqrt{ \frac{1}{ {x}^{3} }} })^{5} = ( { \frac{ \sqrt{1} }{ \sqrt{ {x}^{3} } } })^{5} \\ \\ = ( { \frac{1}{ \sqrt{x} \sqrt{ {x}^{2} } } })^{5} = ({ \frac{1}{ x\sqrt{x} }})^{5} \\ \\ = ( \frac{ {(1)}^{5} }{ {x}^{5} ( \sqrt{x} )^{5} } ) = \frac{1}{ {x}^{5} \times {x}^{ \frac{1}{2} \times 5 } } \\ \\ = \frac{1}{ {x}^{5} \times {x}^{ \frac{5}{2} } } = \frac{1}{ {x}^{5} \sqrt{ {x}^{5} } } \\ \\ = \frac{1}{ {x}^{5} \sqrt{ {x}^{4} {x}^{1} } } = \frac{1}{ {x}^{5} \sqrt{x} \sqrt{( { {x}^{2} })^{2} } } \\ \\ = \frac{1}{ {x}^{5} {x}^{2} \sqrt{x} } = \frac{1}{ {x}^{7} \sqrt{x} } = \frac{ \sqrt{x} }{ {x}^{8} } \)

Linear equations are two-variable equations that graph as a straight line.

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.

Two-variable equations that graph as a straight line are said to be linear equations. The slope and y-intercept of a linear equation allow it to be graphed. Y = mx + b, where m is the slope and b is the y-intercept, is the formula used to represent a line. A graph's straight line can be represented by a linear equation.

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Answer:

this is the answer hope that helps

Answer:

The answer is number 2

Answer:

y= -6x -1

Step-by-step explanation:

Note: It seems you forgot to attach the table diagram. After a little research, I am able to find a table which is attached below.

Answer:

we conclude that:

Step-by-step explanation:

Finding the slope

Taking two points from the given table  (check the attached diagram)

Finding the slope between (-3/4, -1/30) and (-1/2, -2/15)

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(m=\frac{\frac{-2}{15}-\frac{-1}{30}}{\frac{-1}{2}-\frac{-3}{4}}\)

\(m=-\frac{2}{5}\)

Finding the y-intercept

We know that the slope-intercept form of the line equation is

\(y=mx+b\)

where m is the slope and b is the y-intercept.

Given

substitute to find the y-intercept (b)

\(y=mx+b\)

\(\left(\frac{-1}{30}\right)=-\frac{2}{5}\left(\frac{-3}{4}\right)+b\)

switch sides

\(-\frac{2}{5}\left(\frac{-3}{4}\right)+b=\left(\frac{-1}{30}\right)\)

\(\frac{3}{10}+b=\left(\frac{-1}{30}\right)\)

\(\mathrm{Subtract\:}\frac{3}{10}\mathrm{\:from\:both\:sides}\)

\(\frac{3}{10}+b-\frac{3}{10}=\frac{-1}{30}-\frac{3}{10}\)

\(b=-\frac{1}{3}\)

Therefore, we conclude that:

This means that 5% of the 10-1/2-month-old baby boys in the reference population weigh 16.7 pounds or less, and 95% of these baby boys weigh 16.7 pounds or more.

The determination is based on the definition of a percentile. A percentile is a value below which a certain percentage of the data falls. So, in this case, if a weight of 16.7 pounds is at the 5th percentile for 10-1/2-month-old baby boys, then 5% of the baby boys in the reference population have a weight of 16.7 pounds or less. This also means that the remaining 95% of the baby boys in the reference population have a weight of more than 16.7 pounds.

The calculation of percentiles is based on the ranking of the data set. The data is first sorted in ascending order and then divided into 100 equal parts, with each part representing a percentile. The value at each percentile is the value below which a certain percentage of the data falls.

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Answer:

The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:

$442 * 0.9 = $397.80

The selling price of the same necklace at the competitor's store after 34% and 14% discount is:

$527 * 0.66 * 0.86 = $247.08

So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:

$397.80 - $247.08 = $150.72

To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:

($150.72 / $442) * 100 = 34.11%

Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.

Step-by-step explanation:

The set of positive integers less than 1000 that are:

a)Divisible by 7 are 142

b)Divisible by 7 but not by 11 are 130

c)Divisible by both 7 and 11 are 12

d)Divisible by either 7 or 11 are 220

e)Divisible by exactly one of 7 and 11 are 220

f)Divisible by neither 7 nor 11 are 780

g)Having distinct digits are 576

h)Having distinct digits and even are 337

We have,

A whole number that is greater than zero is known as positive integer

a)The positive numbers below 1000 that are divisible by 7 are 7, 14, 21, 28,..., 994.

Total terms: 994, divided by 7, plus (n-1)

There are 142 total terms below 1000 that are divisible by 7.

b) The numbers 77, 154, 231, 308, 385, 462, 539, 616, 693, 770, 847, and 924 are all divisible by both 7 and 11.

The total number of integers below 1000 that are divisible by 7 but not 11 therefore equals 142 - (total number of integers divisible by 7 and 11), which means that the total number of integers that fall into this category is 130.

c) The total amount of integers that can be divided by both 7 and 11 equals the total amount of integers that can be divided by 77.

There are 12 total integers below 1000 that can be divided by 77.

d) The total number of integers that can be divided by either 7 or 11 is equal to the sum of the numbers that can be divided by each of those numbers and the number that can be divided by 77.

The total number of integers below 1000 that are divisible by 11 is (11,22,33,...,990). 990 = 11 + (n-1) 11, which equals 90 integers.

Total integers that may be divided by both 7 and 11 are equal to 142 + 90 - 12 = 220.

e) The total number of integers that may be divided by either 7 or 11 perfectly is equal to 142 + 90 - 12 = 220 numbers.

f) The total number of integers that cannot be divided by either 7 or 11 is 1000 - (The total number of integers that can be divided by either 7 or 11), which is 1000 - 220 = 780 numbers.

g)Distinct digits from 1 to 100 = 100 - Total number of integers below 1000 with distinct digits = 1000 - (non-distinct digits) ( 11,22,33,44,55,66,77,88,99,100),

=> Unique digits from 1 to 100 equal 90.

=> The distinct numerals 101 to 200 equal 100. (101,110,111,112,113,114,115,116,117,118,119,121,122,131,133,141,144,151,155,161,166,171,177,181,188,191,199,200),

=> Unique digits from 101 to 200 are: 100 to 28, 72.

=> Unique numbers between 201 and 1000 = 72 x 8 = 576.

h)Different digits and even values equal to 337

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Answer: Discarding unfavorable data

Step-by-step explanation:

When companies discard data that will not support the narrative that they are trying to push, this is rightfully called, Discarding Unfavorable Data. There is a higher likelihood of this happening when the company does not publish all of the data the research showed.

Tobacco companies are an example of companies that do this. In cases where they hope to show that the relationship between cancer and tobacco smoking is minimal, they would show the very few examples that supports this.

Answer:

c=130,b=50

Step-by-step explanation:

\(c = 180 - 50 = 130\)

\(b = 180 - 130 = 50\)

i think this is the answer

Intro:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

<b and 50° are vertical angles so that means they are congruent.  So that means <b is 50.

<c and 50° are supplementary angles which means when you add them you should get 180. So if do 180 - 50 we will get 130. So that means <c is 130°.