8. Jordan has $11.40 to spend at the used book store. Each book costs $280. How many books can Jordan buy?​

Answer:

7x-3

Step-by-step explanation:

Just got it right On Edge 2021

Answer:

7x - 3

Step-by-step explanation:

3 less than 7 times x

less than = subtraction

times = multiplication

3 - 7x

Dimensions : 16 x 20

solving steps:

So we found Width = 16 feet

Length:

Answer:

width = 16 ft

length = 20 ft

Step-by-step explanation:

Let width = x

If the length is 4 ft longer than the width, then

⇒ length = x + 4

Area of a rectangle = width × length

Given:

Substituting these values into the equation for the area of a rectangle and solving for x:

⇒ 320 = x(x + 4)

⇒ 320 = x² + 4x

⇒ x² + 4x - 320 = 0

⇒ (x - 16)(x + 20) = 0

⇒ x = 16, -20

As distance is positive, then x = 16 only.

Therefore, width = 16 ft and length = 20 ft

The expected value of a lottery ticket is $0.13312. The expected value of a lottery ticket is the average amount that a player can expect to win or lose per ticket bought. To calculate the expected value, one multiplies each outcome by its probability and adds the results.

In this case, there are three possible outcomes: winning $1 billion, winning $10 million, or winning nothing. There are a total of 60 possible numbers for each of the 5 numbers, so there are 60^5 = 7,776,000,000 possible sequences that the lottery could choose. To calculate the probability of winning $1 billion, there is only one winning sequence, so the probability is 1/7,776,000,000. The expected value for winning $1 billion is therefore:
$1,000,000,000 × 1/7,776,000,000 = $0.128
To calculate the probability of winning $10 million, there are four winning sequences for the first four numbers, and 60 possibilities for the fifth number, so the probability is 4/7,776,000,000.

The expected value for winning $10 million is therefore:
$10,000,000 × 4/7,776,000,000 = $0.00512
To calculate the probability of winning nothing, there are 7,775,999,995 losing sequences out of 7,776,000,000 total sequences, so the probability is 7,775,999,995/7,776,000,000. The expected value for winning nothing is therefore:
$0 × 7,775,999,995/7,776,000,000 = $0
Adding these three expected values together gives the overall expected value of a lottery ticket:
$0.128 + $0.00512 + $0 = $0.13312

To know more about probability visit :-

https://brainly.com/question/32595737

#SPJ11

Answer:

hii

Step-by-step explanation:

18.75 answer

is

correct

Answer:

Step-by-step explanation:

given the expression, we are expected to solve for the value of x

\(-(9x-4)+12+18x>79\)

we begin by opening the bracket

\(-(9x-4)+12+18x>79\\\\-9x+4+12+18x>79\\\\\)

collect like terms

\(-9x+4+12+18x>79\\\\-9x+18x+4+12>79\\\\9x+16>79\\\\\)

subtract 16 from both sides

\(9x+16>79\\\\9x>79-16\\\\9x>63\)

divide both sides by 9 we have

\(x>\frac{63}{9}\\\\ x>7\)

the greatest value of x that is not a solution is 7 since x is not equal to 7

Answer:

it's 42 my bad...

Step-by-step explanation:

Answer:

Choice C 42 in^2

Step-by-step explanation:

Area of a triangle= 1/2(b)(h)

= 1/2(3)(6)

= 9

Since there is two triangles we can do:

9(2) = 18

Area of a rectangle = (b)(h)

= (4)(6)

= 24

24+18 = 42 in^2

Answer: The second type of investment earns greater amount of interest.

Step-by-step explanation:

1)

SI = prt / 100

= 10000 x .02 x 4

= 8000

2)

At compound intetest

A = P(1 + r/n)^nt

= 108307.12

Interest = 108307.12 - 100000 = 8307.12

Difference

8307.12 - 8000 = 307.12

The value of x that results in short circuit evaluation, causing y < 4 to not be evaluated, is option c. 8.

In short circuit evaluation, the logical operators (such as "&&" in this case) do not evaluate the right-hand side of the expression if the left-hand side is sufficient to determine the final outcome.

In the given expression, (x >= 7) is the left-hand side and (y < 4) is the right-hand side. For short circuit evaluation to occur, the left-hand side must be false, as a false condition would make the entire expression false regardless of the right-hand side.

If we substitute x = 8 into the expression, we have (8 >= 7) & (y < 4). The left-hand side, (8 >= 7), evaluates to true. However, for short circuit evaluation to happen, it should be false. Hence, the right-hand side, (y < 4), will not be evaluated, and the final result will be true without considering the value of y. Thus, option c, x = 8, satisfies the condition for short circuit evaluation.

to learn more about value click here:

brainly.com/question/30760879

#SPJ11

Answer:

It's $420

Step-by-step explanation:

3500 × 0.12 = 420

The first scenario described is an example of a retrospective cohort study.  The second scenario suggests a retrospective cohort study as well. The third scenario represents a cross-sectional study, where researchers conduct a survey among high school students to assess the prevalence of obesity and diabetes.

1. In the first scenario, a retrospective cohort study is conducted by tracking individuals over a 20-year period. The study begins in 1960 and collects data on cigar smoking practices. After 20 years, the participants are followed up to determine if they developed any cancers. This type of study design allows researchers to examine the long-term effects of smoking Cuban cigars.

2. The second scenario involves a retrospective cohort study as well. The objective is to study the long-term neurological effects of a discontinued anesthetic agent. The researchers identify patients who received the drug before it was discontinued and then assess the occurrence of subsequent neurological disorders. This study design allows for the examination of the relationship between exposure to the anesthetic agent and the development of neurological disorders.

3. The third scenario represents a cross-sectional study. Researchers aim to assess the prevalence of obesity and diabetes among high school students during their junior year. They conduct a survey to gather information on the students' current weight, diabetes status, and other relevant factors. A cross-sectional study provides a snapshot of the population at a specific point in time, allowing researchers to examine the prevalence of certain conditions or characteristics.

Learn more about neurological disorders here:

https://brainly.com/question/30472719

#SPJ11

Answer:

$1.50 per cookie

Step-by-step explanation:

You would divide $6 by 4.

6/4 is 1.5 and 1.5 talking about money is $1.50

(a)The probability distribution of T, the number of tournaments Judit wins in her career, is given by a geometric distribution with parameter p. We have:

\($$\begin{aligned} E(T) &= \frac{1}{p}, \\ Var(T) &= \frac{1-p}{p^2}. \end{aligned}$$\)

The mean and variance of T are E(T)=1/p

and Var(T)=\((1-p)/p^2\)

(b)To find the moment generating function (MGF) of T, we use the formula:

\($$M_T(t) = E(e^{tT}) = \sum_{k=0}^\infty e^{tk} P(T=k).$$\)

Since T has a geometric distribution with parameter p, we have:

\($$M_T(t) = \sum_{k=0}^\infty e^{tk} (1-p)^k p = p \sum_{k=0}^\infty [(e^t(1-p))]^k.$$\)

The sum is a geometric series with first term 1 and common ratio \(e^t(1-p)\). Therefore, we have

\($$M_T(t) = p \frac{1}{1-e^t(1-p)}\)

\($$M_T(t)= \frac{p}{1-e^t(1-p)}.$$\)

This is the MGF of a geometric distribution with parameter q=1-p.

Therefore, we have shown that T has a geometric distribution with parameter q=1-p.Answer:

\((a) E(T)=1/p, Var(T)=(1-p)/p^2. (b) M_T(t)=p/(1-e^t(1-p))\);

T has a geometric distribution with parameter q=1-p.

To know more about geometric visit:

https://brainly.com/question/29170212

#SPJ11

The estimated probability is 0.0294

To estimate the probability of getting between 45 and 50 correct answers on the multiple-choice test, we can use the binomial probability formula and a calculator.

The binomial probability formula is given by P(X = k) = (nCk) * p^k * q^(n-k), where n is the number of trials, k is the number of successes, p is the probability of success on a single trial.

q is the probability of failure (1 - p), and nCk represents the number of combinations.

In this case, n = 160 (number of questions), p = 0.25 (probability of guessing a correct answer), and we want to find P(45 ≤ X ≤ 50), which means the probability of getting between 45 and 50 correct answers.

Using a calculator such as TI-83, TI-83 Plus, or TI-84, we can calculate the individual probabilities for each value of X (45, 46, 47, 48, 49, 50) using the binomial probability formula.

Then, we sum up these probabilities to find the total probability of getting between 45 and 50 correct answers.

By performing the calculations, we find that the estimated probability is 0.0294, rounded to four decimal places.

This means that with random guessing, there is approximately a 2.94% chance of getting between 45 and 50 correct answers on the multiple-choice test.

Learn more about binomial distributions

brainly.com/question/29163389

#SPJ11

The half life period is the time in which only half of the given population remains. It can be represented through this equation:

\(f(t)=a\times(1/2)^{\frac{t}{h}}\)

We're given:

For most questions like this, we would have to plug these values into the equation mentioned above. However, this question asks for the time elapsed after 3 half-lives.

This can be calculated simply by multiplying the given half-life by 3:

28 million years x 3

= 84 million years

84 million years

This is approximately 0.283 hours, or 17 minutes. Therefore, it will take the boat approximately 17 minutes to cross the river.

The key to solving this problem is to understand the concept of relative velocity. In this case, the boat's speed relative to the water is 5 km/hr, and the water's speed relative to the shore is also 5 km/hr. Therefore, the boat's speed relative to the shore is the vector sum of these two velocities, which is 0 km/hr. This means that the boat will not make any progress toward the other side of the river unless it angles its course slightly upstream.
To determine the angle required, we need to use trigonometry. Let θ be the angle the boat makes with the direction perpendicular to the river. Then sin θ = 5/5 = 1, so θ = 45 degrees. This means that the boat needs to head upstream at a 45-degree angle to make progress across the river.
Now we can use the Pythagorean theorem to find the distance the boat travels:
d = √(1² + 1²) = √(2) km
Since the boat's speed relative to the shore is 0 km/hr, the time required for the crossing is simply the distance divided by the boat's speed relative to the water:
t = d / 5 = √(2) / 5 hours
This is approximately 0.283 hours or 17 minutes. Therefore, it will take the boat approximately 17 minutes to cross the river.

Learn more about trigonometry here:

https://brainly.com/question/12068045

#SPJ11

Answer:

154.5 cm of ribbon

Step-by-step explanation:

I'm assuming all 3 boxes are the same.

if so do 25.75×2 then do 51.5×3.

hope this is right and what you were asking for.

Answer:

okay then I have written it check it out

Answer:

a) 375

b) 7062.75 mm²

Step-by-step explanation:

b) We need to find the shortest possible width and length to get the smallest possible area.

To get the boundaries for 19.4, we go on to the next significant figure (the hundredths) and ± 5 of them.

The boundaries are, therefore: 19.35 - 19.45

As for the length, we can see they've added 5 units as the measurement is correct to 2 sig' figures, which is the tens.

And so, if we do as we did before, we go to the next sig' figure (the units) and ± 5 of them, we get the boundaries to be 365 - 375.

Now, we just multiply the lower bounds of the length and width to get the minimal/lower-bound area:

365 * 19.35 = 7062.75 mm²

The product of matrices A and B, denoted as C = AB, is determined by performing matrix multiplication using the given matrices. In this case, A is a 2x1 matrix and B is a 1x3 matrix. The resulting matrix C will have dimensions 2x3.

To find the product of matrices A and B, we perform matrix multiplication by multiplying corresponding elements and summing the results.

The dimensions of the matrices must be compatible for multiplication, meaning the number of columns in the first matrix must match the number of rows in the second matrix.

Given matrices A and B:

A = [9 1]

B = [2 6 7]

To calculate C = AB, we multiply each element of A with the corresponding element in B, and then sum the results. The resulting matrix C will have dimensions 2x3.

C = [92 + 13 96 + 16 97 + 15]

Calculating each element of C, we have:

C = [18 + 3 54 + 6 63 + 5]

[21 60 68]

Simplifying, we get:

C = [21 60 68]

Therefore, the product of matrices A and B, denoted as C = AB, is the matrix:

C = [21 60 68]

To learn more about matrix multiplication visit:

brainly.com/question/13591897

#SPJ11

Answer:

Rs.11,111.11 (2 d.p.)

Step-by-step explanation:

The original price of the mobile is 100% of the price.

Therefore, the price of the mobile after a discount of 10% is 90% of the original price.

Let x be the original price.

If the price of the mobile after the discount is Rs.10000 then:

⇒ 90% of x = Rs.10000

⇒ 0.9x = 10000

⇒ x = 10000 ÷ 0.9

⇒ x = 11111.11  (2 d.p.)

M.P. =Rs 11111.1111

Answer:

Solution Given:

Selling price (S.P.) = Rs 10,000.

Discount =10%

Marked Price (M.P.)=?

we have

M.P. = S.P. + discount% of M.P.

keeping M.P. on same side

M.P. - discount% of M.P=S.P.

substituting value

M.P. - 10% of M.P.= Rs 10,000

taking common M.P.

M.P.(1-10%)=Rs. 10,000

we know that %=1/100

M.P.(1-10/100)=Rs 10,000

(9/10)M.P.= Rs 10,000

M.P.= Rs 10,000*10/9

M.P.=Rs11111.1111

Answer:

D because the BC is the radius line

Answer:

I solved it for u!

Hope it helps

Step-by-step explanation:

Another way, it an isosceles triangle so the base will be same, so angle 3 and angle 1 will be same after u find angle 3, then angle 1 will be equal to it

So here angle 3 = 64°

So angle 1= 64°

Answer 50 for the bottom and 48 for the sides

For a second order differential equation t²y'' - 4ty' + 6y = 0, general solution is of the form y(t) = c₁t² + c₂t³, so another solution other than y₁(t) = t² is y₂(t) = t³.

Given solution to t²y'' - 4ty' + 6y = 0 is

y₁(t) = t²

Using the method of reduction of order, let us assume, y₂(t) = v(t)y₁(t) is a solution to t²y'' - 4ty' + 6y = 0 for suitable choice of v(t). So,

y₂ = vt²

y₂' = 2vt + t²v'

y₂'' = 2v + 2tv' + 2tv' + t²v''

y₂'' = 2v + 4tv' + t²v''

Substituting this

t²×( 2v + 4tv' + t²v'') - 4t×(2vt + t²v') + 6×(vt²) = 0

t⁴v'' = 0

v'' = 0

v' = c, c is a constant

v = ct

Therefore, y₂(t) = ct×t²

y₂ (t) = ct³

Therefore general solution will be y(t) = c₁t² + c₂t³

To know more on second order differential equation

https://brainly.com/question/15520567

#SPJ4

It will take approximately 4.96 hours for there to be only 45.5 milliliters of the drink left in your system.

Given that,The half-life of a certain type of soft drink is 7 hours.

If you drink 65 milliliters of this drink, the formula y = 65(0.7) tells the amount of the drink left in your system after t hours.

The formula is of the form:y = a(0.7)t Where a = 65 milliliters.t = time in hours at which we want to calculate the amount of the drink left in the system.

The amount of the drink left after t hours = 45.5 milliliters.

Substituting the values in the formula, we get:45.5 = 65(0.7)t.

Taking log on both sides, we get:log(45.5) = log(65) + log(0.7) * t.

Solving for t, we get:t = [log(45.5) - log(65)] / log(0.7)t = 4.96 hours.

Therefore, it will take approximately 4.96 hours for there to be only 45.5 milliliters of the drink left in your system.

#SPJ11

Let us know more about formula : https://brainly.com/question/2382219.

Answer:

It might be b i have no clue so dont exactly trust my awnser.

Step-by-step explanation:

I am taking the test right now and am also confused .

Answer I think the answer is 9 if you round off to the nearest ones,in this case you are rounding off to 9 which will still be 9 because 4 is less than 5.

I hope this helps

a) The average estimated time for Bill to drive to work when he leaves on time at 6:30 with no red lights and no trains to wait for is approximately -19.9166 minutes. b) The estimated coefficients of REDS and TRAINS in the regression model are 1.3353 (REDS). c) The absolute value of the calculated t-value (-1.7733) is less than the critical t-value (1.9719), we fail to reject the null hypothesis.

a) To find the average estimated time in minutes for Bill to drive to work when he leaves on time at 6:30 and there are no red lights and no trains at the crossroad to wait, we substitute the values into the regression model:

TIME = -19.9166 + 0.3692(DEPART) + 1.3353(REDS) + 2.7548(TRAINS)

Given:

DEPART = 0 (as he leaves on time at 6:30)

REDS = 0 (no red lights)

TRAINS = 0 (no trains to wait for)

Substituting these values:

TIME = -19.9166 + 0.3692(0) + 1.3353(0) + 2.7548(0)

    = -19.9166

Therefore, the average estimated time for Bill to drive to work when he leaves on time at 6:30 with no red lights and no trains to wait for is approximately -19.9166 minutes. However, it's important to note that negative values in this context may not make practical sense, so we should interpret this as Bill arriving approximately 19.92 minutes early to work.

b) The estimated coefficients of REDS and TRAINS in the regression model are:

1.3353 (REDS)

2.7548 (TRAINS)

Interpreting the coefficients:

- The coefficient of REDS (1.3353) suggests that for each additional red light, the estimated time to drive to work increases by approximately 1.3353 minutes, holding all other factors constant.

- The coefficient of TRAINS (2.7548) suggests that for each additional train Bill has to wait for at the crossing, the estimated time to drive to work increases by approximately 2.7548 minutes, holding all other factors constant.

c) To test the hypothesis that each train delays Bill by 3 minutes, we can conduct a hypothesis test.

Null hypothesis (H0): The coefficient of TRAINS is equal to 3 minutes.

Alternative hypothesis (Ha): The coefficient of TRAINS is not equal to 3 minutes.

We can use the t-test to test this hypothesis. The t-value is calculated as:

t-value = (coefficient of TRAINS - hypothesized value) / standard error of coefficient of TRAINS

Given:

Coefficient of TRAINS = 2.7548

Hypothesized value = 3

Standard error of coefficient of TRAINS = 0.1390

t-value = (2.7548 - 3) / 0.1390

       = -0.2465 / 0.1390

       ≈ -1.7733

Using a significance level of 5% (or alpha = 0.05) and looking up the critical value for a two-tailed test, the critical t-value for 230 degrees of freedom is approximately ±1.9719.

Since the absolute value of the calculated t-value (-1.7733) is less than the critical t-value (1.9719), we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that each train delays Bill by 3 minutes.

To know more about hypothesis visit:

brainly.com/question/30404845

#SPJ4