Ballio has a reading goal. he checks three boxes of 9 books out from the library. after finish all the books, he realizes that he beat his goal by four books! how many books did Ballio have as his reading goal

Answer:

{-3, 1, 5, 6}

Step-by-step explanation:

The domain of a relation is the x-values represented in that function. In a coordinate pair, the x-value comes first, so all of the first numbers in each of the pairs are part of the domain. When writing domain, it should always be in the least to greatest order. Therefore, the domain is {-3, 1, 5, 6}. Since this relation is a function, none of the x-values will repeat.

The data is missing in the question. The data is provided below :

Document : 1     2      3      4      5     6      7      8

Brand A       17  29    18    14    21   25    22    29

Brand B       21  38    15    19    22   30    31   37

Solution :

State of the hypothesis of the null hypothesis and alternate hypothesis.

Null hypothesis : \($h_A = h_B$\)

Alternate hypothesis : \($h_A > h_B$\)

These hypothesis is a one tailed test. The null hypothesis will get rejected when the mean difference between the sample means is very small.

Significance level = 0.05

Therefore the standard error is :  \($SE = \sqrt{(\frac{s^2_1}{n_1})+(\frac{s^2_2}{n_2})}$\)

                                                         = 3.602

And the degree of freedom, DF = 14

\($t=\frac{(x_1-x_2)-d}{SE}$\)

 = -1.319

Here, \($s_1$\) = standard deviation of the sample 1

        \($s_2$\) = standard deviation of the sample 2

         \($n_1$\) = size of the sample 1

        \($n_2$\) = size of the sample 2

         \($x_1$\) = mean of the sample 1

        \($x_2$\) = mean of the sample 2      

          d = the hypothesis difference between the population mean

The observed difference in a sample means t static of -1.32. From t distribution calculator to determine P(\($t \leq -1.32$\)) = 0.1042  

Since the P value of 0.1042 is greater than significance level o 0.05, we therefore cannot reject the null hypothesis.

But from the test, we have no sufficient evidence that supports that Brand A is better than Brand B.      

Answer: C

Step-by-step explanation:

The value of z is 8633/137 or 63.01, approximately.

\(\frac{x}{y} =\frac{z}{100}\)

\(\frac{x}{y}*100 =\frac{z}{100}*100\\ \\100\frac{x}{y} =z\\ \\z=100\frac{x}{y}\)

\(z=100\frac{(86.33)}{(137)}\\ \\z=\frac{8633}{137}=63.01\)

If the calculated value of "z" is correct, then the original equation should return the same value on both sides of the equal symbol (=) when substiting all the variables by their respective value.

\(\frac{86.33}{137} =\frac{\frac{8633}{137}}{100}\\ \\0.63=0.63\)

That's correct!

Hence, the value of z is 8633/137 or 63.01.

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Answer:

\(f^{-1}(x)=x^2+1\)

Step-by-step explanation:

The inverse of a function is when the x and y are swapped. So the first step is to write f(x) as y and then swap the x and y

Original Equation:

\(f(x)=\sqrt{x-1}\\\)

write f(x) as y (since that's what it represents)

\(y=\sqrt{x-1}\)

Swap x and y

\(x=\sqrt{y-1}\)

Square both sides

\(x^2=y-1\)

Add 1 to both sides

\(x^2+1=y\)

So this gives you the equation:

\(f^{-1}(x)=x^2+1\)

Explanation:

Basically, you can do it in many ways. But just, in my opinion, exactly linear algebra was made for such cases.

the optimal way is to do it with Cramer's rule.

First, find the determinant and then find the determinant x, y, v, u.

Afterward, simply divide the determinant of variables by the usual determinant.

eg. \(\frac{Dx_{} }{D}\) and etc.

I think that is the best way to solve it without a hustle of myriad of calculations reducing it to row echelon form and solving with Gaussian elimination.

Answer: y=-5x+36

Step-by-step explanation:

slope intercept form: y=mx+b

m= slope, which is given as -5

b is y-intercept

y=-5x+b

sub-values from (7,1) into the equation

1=-5(7)+b

1=-35+b

b=36

y=-5x+36

Answer:

y=mx+36

Step-by-step explanation:

y=mx+b  ==> slope-intercept form equation

1=-5(7)+b ==> plug in known values

1=-35+b

1+35=-35+35+b

b=36

y=mx+36  ==> plug in 36 for b

Answer:

76°

Step-by-step explanation:

Arc RP = 104

Major arc RPA = 180 (half a circle)

180-104 = 76

Arc AP = 76, so Angle 5 = 76

Central Angles and their arcs are equal

Answer:

76°

Step-by-step explanation:

Finding m∠4 :

Finding m∠5 :

Answer:

Each point appears to give the same number of tickets.

Predicted number of tickets for getting 10 points: 90 tickets

Step-by-step explanation:

27/3=9

63/7 =9

81/9=9

It gives 9 tickets per point.

Answer:

A

Step-by-step explanation:

The first one

Answer:

1. 2 + 12i

2. -3 - 4i

3. 7 - 11i

4. -9i

Step-by-step explanation:

just add and subtract like 'i' is a variable and make sure the answer is in the form a+bi

Answer:

10

brainliest plz? tysm

Hi! I believe your answer is 10. I hope this helps you! Good luck and have a great day. ❤️ (Thank you for the free points, by the way! :))

Answer:

yo i think the answer is y=5 but not sure bro.

Step-by-step explanation:

the first derivative of the given function is:

f'(x) = (2x²- 12x - 2)/( 2x² - 2)²

The quotient rule says that, if f(x) = g(x)/h(x), then:

f'(x) = ( g'(x)*h(x) - g(x)*h'(x) )/h(x)²

In this case we know that:

g(x) = x² + x - 2

h(x) = 2x² - 2

The derivatives are:

g'(x) = 2x + 1

h'(x) = 4x

Replacing that we get:

f'(x) = ( g'(x)*h(x) - g(x)*h'(x) )/h(x)²

      = ( (2x + 1)*(2x² - 2) - ( x² + x - 2)*(4x) )/( 2x² - 2)²

Expanding the denominator we get:

f'(x) = ( 4x³ - 4x + 2x² - 2 - 4x³ + 4x² - 8x)/( 2x² - 2)²

f'(x) = (2x²- 12x - 2)/( 2x² - 2)²

That is the first derivative of the given function.

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The expression that represents the total cost of the donuts is: c + d

To determine the expression that represents the total cost, the following parameters are needed

Let c represents the cost of the donut box, and d represents the cost of the donut, itself

Hence, the expression that represents the total cost is:

c + d

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The value of the coin in 2019 would be approximately $132.

To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.

Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:

Value in 2019 = Initial value * (1 + Rate)^n

where Rate is the annual increase rate and n is the number of years between 2010 and 2019.

Plugging in the values:

Value in 2019 = $40 * (1 + 0.169)^9

Value in 2019 ≈ $40 * 2.996

Value in 2019 ≈ $119.84

Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.

However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.

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Answer:

this is a true statement

Step-by-step explanation:

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

Work Shown for problem 1

P(pink, then violet) = P(pink)*P(violet given 1st was pink)

= (4/14)*(2/13)

= 8/182

= 4/91

------------------------------

Work Shown for problem 2

P(gray, then gray)

= P(gray)*P(gray given 1st was gray)

= (3/14)*(2/13)

= 6/182

= 3/91

-------------------------------

Work Shown for problem 3

P(not yellow, not yellow)

= P(not yellow)*P(not yellow given 1st was not yellow)

= (9/14)*(8/13)

= 72/182

= 36/91

-------------------------------

Work Shown for problem 4

P(yellow, not yellow)

= P(yellow)*P(not yellow given 1st was yellow)

= (5/14)*(9/13)

= 45/182

Using the binomial distribution, it is found that:

A. The salesperson should expect 1.54 customers until he finds one that makes a purchase.

B. There is a 0.0279 = 2.79% probability that a salesperson helps 3 customers until he finds the first person to make a purchase.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

For this problem, the probability of a success on a single trial is of p = 0.65.

The expected number of trials until q successes is:

E(X) = q/p

Hence, for one purchase:

E(X) = 1/0.65 = 1.54.

The salesperson should expect 1.54 customers until he finds one that makes a purchase.

For item B, the probability is P(X = 0) when n = 3 multiplied by 0.65, hence:

p = (0.35)³ x 0.65 = 0.0279.

There is a 0.0279 = 2.79% probability that a salesperson helps 3 customers until he finds the first person to make a purchase.

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Answer:

\(6p - 2q + 4r - 2p + 3s + 5q\)

group the like terms together:

\( = (6p - 2p) + ( - 2q + 5q) + 4r + 3s\)

simplify:

\( = { \boxed{ \boxed{4p + 3q + 4r + 3s}}}\)

40% is the discount on the Hammers.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Hammers originally priced at $15

In sale the price of Hammers are $9.

We need to find the discount as percentage on Hammers.

original price-New price/ original price × 100 is the percentage of discount

15-9/15×100

6/15×100

0.4×100

40%

Hence, the discount on Hammers is 40%.

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1. Number of athletes did not own any of the three items = 259 - 228

= 31.

2. Number of athletes own a convertible and a TV but not a store = 44 - 9

= 35.

3. Number of athletes own a convertible or a TV = 110 + 91 - 44

= 157.

4. Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

5. Number of athletes owned at least one type of item = 259 - 31

= 228

6. Number of athletes own a TV or a store, but not a convertible = 13 + 34 +71

= 118.

The number of athletes did not own any of the three items need to subtract the number of athletes who own at least one item from the total number of athletes surveyed.

Total number of athletes surveyed = 259

Number of athletes own at least one item = 110 + 91 + 120 - 15 - 43 - 44 + 9 = 228

Number of athletes who did not own any of the three items = 259 - 228 = 31.

The number of athletes who owned a convertible and a TV but not a store need to subtract the number of athletes who own all three items from the number of athletes who own a convertible and a TV.

Number of athletes who own a convertible and a TV = 44

Number of athletes who own all three items = 9

Number of athletes who own a convertible and a TV but not a store = 44 - 9 = 35

The number of athletes who owned a convertible, or a TV need to add the number of athletes who own a convertible to the number of athletes who own a TV and then subtract the number of athletes own both a convertible and a TV.

Number of athletes who own a convertible or a TV = 110 + 91 - 44

= 157.

The number of athletes owned exactly one type of item need to add up the number of athletes who own a convertible only the number of athletes own a TV only and the number of athletes who own a store only.

Number of athletes own a convertible only = 110 - 15 - 9 = 86

Number of athletes own a TV only = 91 - 44 - 9 = 38

Number of athletes own a store only = 120 - 15 - 43 - 9 = 53

Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

The number of athletes who owned at least one type of item can use the result from part (1).

Number of athletes who owned at least one type of item = 259 - 31

= 228

The number of athletes who owned a TV or a store but not a convertible need to subtract the number of athletes who own all three items, and the number of athletes own a convertible and a TV from the number of athletes own a TV or a store.

Number of athletes own a TV or a store = 91 + 120 - 43 - 9 = 159

Number of athletes own a TV or a store not a convertible = 13 + 34 +71

= 118.

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If they are paving a rectangular area and an area in the shape of a parallelogram to make it easier to turn around and pull out of the driveway. A sketch of the plan for their driveway uses a scale of 1 in. for every 3 ft. The actual area of the entire driveway they want to pave Is 1350 feet²

First step is to find the length of both side

Actual length on side

Length = ( 5 + 4) × 3

Length = 9 × 3

Length = 27 feet

Actual length of the other side

Length = 16 2/3 × 3

Length = 16 ×3 +2/3 ×3

Length = 16×3+2

Length = 48 +2

Length = 50 feet

Now let determine the actual area of the whole driveway they want t0 pace

Actual area = 50 feet × 27 feet

Actual area = 1350 feet²

Therefore we can conclude that the actual area is 1350 feet².

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If 6ˣ = 5, then

(6ˣ)³ = 6³ˣ = 5³ = 125,

and

6³ˣ⁺² = 6³ˣ × 6² = 125 × 6² = 125 × 36 = 4500

a) Increased by 44 students per year= N(t) = 240 + 44t

b) Decreased by 32 students per year=N(t) = 240 - 32t

c) Increased by 40 students every 2 years=N(t) = 240 - 32t

d) Decreased by 24 students every 4 years=N(t) = 240 - 32t

e) Remained constant= N(t) = 240

f) Increased by 5 students every semester (twice in a year)=N(t) =240+10t

The original population of students in the year 2000 is 240.

\(N_0=240\)

Let the number of years = t

a) If the population increased by 44 students every year, the population, after t years, would have increased by 44t

Therefore,

\(N(t)=N_0+44t\)

N(t) = 240 + 44t

b) If the population decreased by 32 students per year, the population, after t years, would have decreased by 32t

Therefore,  \(N(t)=N_0-32t\)

N(t) = 240 - 32t

c) If the population Increased by 40 students every 2 years and increase is uniform per year, the population will increase by 40/2 = 20 students in 1 year. So in t years, the population would increase by 20 t.

Therefore,

\(N(t)=N_0+20t\\\\N(t)=240+20t\)

d) Decreased by 24 students every 4 years

In 1 year, it decreases by 24/4 = 6 students

In t years, it decreases by 6t students

\(N(t)=N_0-6t\\\\N(t)=240-6t\)

e) Remained constant

N(t)=N0

N(t)=240.

f) If the population increases by 5 students twice in a year

In 1 year, it increases by 5*2 = 10 students

In t years, it increases by 10t students

\(N(t)=N_0+10t\\\\N(t)=240+10t\).

The Complete Question:-

When a new charter school opened in 2000, there were 240 students enrolled. Write a formula for the function N ( t ), representing the number of students attending this charter school t year after 2000, assuming that the student population:

a) Increased by 44 students per year

b) Decreased by 32 students per year

c) Increased by 40 students every 2 years

d) Decreased by 24 students every 4 years

e) Remained constant

f) Increased by 5 students every semester (twice in a year)

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In each diagram, line f is parallel to line g, and line t intersects both lines f and g. The given information suggests the application of certain geometric properties and relationships.

Firstly, when a transversal line (line t) intersects two parallel lines (lines f and g), it creates several pairs of corresponding angles.

Corresponding angles are congruent, meaning they have equal measures. This property can be used to determine the measures of specific angles in the diagram.

Secondly, when a transversal intersects parallel lines, it also creates alternate interior angles and alternate exterior angles.

Alternate interior angles are congruent, as well as alternate exterior angles.

By utilizing these properties and relationships, one can analyze the diagram and determine the measures of various angles.

It is important to measure angles systematically and compare them to find congruent or equal measures.

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The transformation of f(x) to g(x) is :

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

The functions f(x) and g(x)

Where, we have

f(x) = x

g(x) = 1/9x - 2

The graph of the functions f(x) and g(x) are added as an attachment

And we have the transformations to be:

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Answer:b

Step-by-step explanation:

Explanation

Step 1

graph the point is a numerical line

now, to order from the least fo greatest, write the numbers from left to rigth

Step 2

now, The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average.

so

Count how many numbers you have

weI get an odd number, divide by 2 and round up to get the position of the median number

so, the median is the number in poition (5)

i hope this helps you.