Arturo was comparing the price of apple juice at two stores. The equation y=0.29x represents what Arturo would pay in dollars and cents, y, for x bottles of apple juice at store A. Arturo can buy 13 bottles of apple juice at Store B for a total cost of $8.84. How much more is a bottle of apple juice at Store B than at Store A?

The expected value of the policy for the insurance company: $359.38

Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.

Probability of Event = Favorable Outcomes/Total Outcomes = X/n

The expected value of the policy for the insurance company can be calculated as follows:

Expected value = (Probability of survival) x (Annual payment)

= 0.999057 x $360

= $359.38

So, the expected value of the policy for the insurance company is $359.38.

It's important to note that this is just an estimate based on statistical probabilities and does not guarantee the outcome. The actual value could be higher or lower than this estimate, depending on the actual lifespan of the policyholder.

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Answer:

x = 2

y = - 1

Step-by-step explanation:

Please see the step by step solution in the picture attached below.

Hope it can help you. Have a nice day!

Answer:

Step-by-step explanation:perp. 3/2

y + 8 = 3/2(x - 4)

y + 8 = 3/2x - 6

y = 3/2x - 14

Answer:

4.44 pints

Step-by-step explanation:

7.4 times 3/5

Answer:Median=7.42

Mean=7.61

Step-by-step explanation:

Hello there. To solve this question, we'll have to remember some properties about trigonometric functions and the right triangle.

We want to find x such that:

We'll use the second right triangle to show what we want.

First, given a triangle:

We know that the hypotenuse will be:

But most importantly, the tangent of the angles α and β can be calculated by only using the legs of the triangle: it is the ratio between the opposite side and the adjacent side to an angle.

and

Now look at the triangle we have:

We can easily check that:

So it would be good to find something that relates the ratio between those two numbers: the tangent of 60º!!

Therefore, we have:

And the solution to x is:

Answer:

Following are the relevant factors about cross-cultural research

Step-by-step explanation:

The Cross-cultural also known as the Intercultural studies, it involves work performed across various geographical regions improving student with different cultural backgrounds. While there are several similarities in certain human emotions, feelings, and behavior patterns, delicate differentiation is motivated by religion, political ideology, culture, etc.

Answer: height = 1.91 m

Step-by-step explanation: Using the formula

V=πr2h

Solving for h

h=V

πr2=37.5

π·2.52≈1.90986m

The solution to the given equation is x = \(305\frac{11}{45}\).

The given equation is 45(x-310)=-214.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

By using distributive property, we get

45x-13950= -214

45x=-214+13950

45x=13736

x=13736/45

x=\(305\frac{11}{45}\)

Therefore, the solution to the given equation is x = \(305\frac{11}{45}\).

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The argument used by the team member was that a single line is used to differentiate the space into two. This is will make the presentation more attractive. Even if there are higher-dimensional data the lines will generalize into planes and hyperplanes. So according to the team member, it would be better to use Logistic Regression.

When we use the classification tree presentation the data will be mixed up and will clash against each other. So using the Logistic Regression will be better as this divides the data set into two separate parts. So, if the data are not linearly separable then only we should use the Classification Method.

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The correct option is the first one, any integer less than -3

Let's define our integer as n.

We want to find the possible values of n such that:

n + 3 < 0

Let's solve that inequality for the variable n, we can do that by subtracting 3 in both sides, then we will get:

n < -3

So any integer less than -3 works fine, the correct option is F.

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Answer:

To calculate the amount of money spent in interest alone over the course of a 30-year mortgage, we can use the formula:

Total Interest = (Monthly Payment x Number of Payments) - Principal

For a 3.5% 30-year mortgage with a principal of $180,000, the monthly payment can be calculated using the formula:

Monthly Payment = (Principal x Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Payments))

where Monthly Interest Rate = Annual Interest Rate / 12, and Number of Payments = 30 years x 12 months per year = 360.

Plugging in the values, we get:

Monthly Payment = (180,000 x 0.0035) / (1 - (1 + 0.0035)^(-360)) = $808.28

Using this monthly payment, we can calculate the total interest over the 30-year period:

Total Interest = ($808.28 x 360) - $180,000 = $101,020.80

Therefore, the correct answer is A. $110,880 (which is not one of the options given).

Hence, in answering the stated question, we may say that We can travel slope intercept down 3 units and right 1 unit to acquire another point on the line because the slope is -3.

The intersection point in mathematics is the point on the y-axis where the slope of the line intersects. a point on a line or curve where the y-axis intersects. The equation for the straight line is Y = mx+c, where m represents the slope and c represents the y-intercept. The intercept form of the equation emphasises the line's slope (m) and y-intercept (b). The slope of an equation with the intercept form (y=mx+b) is m, and the y-intercept is b. Several equations can be reformulated to seem to be slope intercepts. When y=x is represented as y=1x+0, the slope and y-intercept are both set to 1.

We must solve for y in order to find the slope-intercept form of the equation:

6x + 2y = 4

2y = -6x + 4

y = -3x + 2

As a result, the slope is -3 and the y-intercept is 2.

To graph the line, first plot the y-intercept at the point (0, 2). The slope can then be used to find another point on the line. We can travel down 3 units and right 1 unit to acquire another point on the line because the slope is -3.

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the answer is d hopes this helps you

Answer:

79.2% (to the nearest tenth)

Step-by-step explanation:

use the percent change formula:

PC = [ (difference between initial value and final value) ÷ initial value] x 100

= [(77-16) ÷77] x 100

= 79.22077922...

= 79.2% (to the nearest tenth)

The length of the straw in a rectangular box of dimensions 9 by 6 by 8 inches is the diagonal of the box, which can be found using the Pythagorean theorem. The length of the diagonal is sqrt(181) inches or about 13.4536 inches.

The probability of event A given event B, denoted as P(A | B), is 0.750. The probability of event B given event A, denoted as P(B | A), is 0.900. A and B are not independent events because the conditional probabilities P(A | B) and P(B | A) are not equal to the marginal probabilities P(A) and P(B), respectively.

To find P(A | B), we use the formula:

P(A | B) = P(A ∩ B) / P(B)

In this case, P(A ∩ B) = 0.45 and P(B) = 0.60.

Plugging these values into the formula, we get

P(A | B) = 0.45 / 0.60 = 0.750.

To find P(B | A), we use the formula:

P(B | A) = P(A ∩ B) / P(A)

Here, P(A ∩ B) = 0.45 and P(A) = 0.50.

Substituting the values, we find

P(B | A) = 0.45 / 0.50 = 0.900.

A and B are not independent because the probabilities of A and B are affected by each other. If A and B were independent, then P(A | B) would be equal to P(A), and P(B | A) would be equal to P(B). However, in this case, both P(A | B) and P(B | A) differ from their respective marginal probabilities. Therefore, A and B are dependent events.

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The chi-square goodness-of-fit test can provide information on categorical data match an expected distribution and which categories are contributing to any deviation from that distribution.

The chi-square goodness-of-fit test is a statistical test used to determine whether a set of observed categorical data matches an expected distribution. Specifically, the test compares the observed frequencies of each category to the expected frequencies based on a hypothesized distribution, and calculates a chi-square statistic. This statistic measures the degree of difference between the observed and expected frequencies, with larger values indicating greater deviation from the expected distribution. If the chi-square statistic is large enough to reject the null hypothesis (i.e., the observed data do not match the expected distribution), the test can provide information on which categories are contributing the most to the discrepancy. This can help identify which categories are over-represented or under-represented in the observed data, and can inform further investigation into potential causes of the deviation. In summary, the chi-square goodness-of-fit test can provide information on whether observed categorical data match an expected distribution and which categories are contributing to any deviation from that distribution.

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The mean of the data given is 13.4364 and.the standard deviation is 1.788.

It should be noted that the mean is the average of the giving set of numbers. In this situation, the mean is 3.1998.

E(X²) will be:

= (0² × 0.0408) + (1² × 0.1304) .... + (12² × 0.0001)

= 13.4364

Var(X) = 13.4364 - 3.1998²

= 3.198

The standard deviation will be:

= ✓3.198

= 1.788

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The answers to the following prompts are give as follows:

9 (c) the time taken for rocket to hit the ground is 5

10 (c) the maximum height is 4

11 (b) the solutions of 16x² - 64 = 0  are  -4 and 4

9) To find the time it takes the rocket to hit the ground, we need to find the value of s when h(s) = 0 since h(s) represents the height of the rocket.

So we need to solve the equation: -3s^2 + 6s + 45 = 0.

Factoring, we get -3(s - 5)(s + 3) = 0. So s = 5 or s = -3. Since time cannot be negative, we take s = 5.

Therefore, the answer is (c) 5.

10 ) The maximum height of the rocket occurs at the vertex of the parabola given by the function h(s) = -3s^2 + 6s + 45. The s-coordinate of the vertex is given by s = -b/2a, where a = -3 and b = 6. So s = -6/-6 = 1. Therefore, the answer is (a) 1.

11) We can solve the equation 16x² - 64 = 0 by factoring out the greatest common factor, which is 16: 16(x² - 4) = 0.

Then, we can factor the quadratic expression as a difference of squares: 16(x + 2)(x - 2) = 0. Therefore, the solutions are x = -2 and x = 2, and the answer is (b) -4 and 4.

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Answer:

m<2 = 120

m<1 = 60

Step-by-step explanation:

m < 10 + m<11 = m<2

180 - m<12 =

120

m<2 = 120

m<1 = 60

Brainliest Appreciated

Answer: its 30

Step-by-step explanation:

The number of ways for filling 4 positions out 17 applicants is 57120

For the local dry cleaner 17 candidates were interviewed.

There are four positions available cashier, washer, salesperson, and delivery driver.

To calculate number of ways by which they can fill those 4 positions first we need to find the no of ways to select 4 candidates out of 17 candidates.

No of ways to select r candidates out of n

= nCr

=( n!) / (r!)(n-r)!

= 17!/( 4! ) ( 17-4)!

17Cr = 2380.

For assigning the four positions to the four candidates there are

17C4 x 4! ways.

So, The number of ways for filling 4 positions out 17 applicants = 2380 x 4!

The answer to this problem is 57120.

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Answer:

11.8cm (rounded to nearest tenth)

Step-by-step explanation:

The formula of the volume of a right rectangular pyramid is:

Volume = length × width × height ÷ 3

We can just put in the values before finding the height.

1552.4 = 23.2 × 17.0 × height ÷ 3

height ÷ 3 = 1552.4 ÷ 23.2 ÷ 17.0

                 = 3\(\frac{923}{986}\)

height = 3\(\frac{923}{986}\) × 3

height ≈ 11.8 (rounded to nearest tenth)

Answer:              The equation is 117 = 2x + (x + 12) + (3x - 9)         The two short sides are 19 cm long, the third side is 31 cm long, and the fourth side is 48 cm long.

Step-by-step explanation:

Let x represent the length of the shortest sides

The equation for the problem is:

117 = 2x + (x + 12) + (3x - 9)

Simplify:

117 = 6x + 3

114 = 6x

19 = x

Plug x in for all the sides:

Short sides = 19 cm

Third side = (19) + 12 = 31 cm

Fourth side = 3(19) - 9 = 57 - 9 = 48 cm

Sentence:

The two short sides are 19 cm long, the third side is 31 cm long, and the fourth side is 48 cm long.

Hope this helps!

More members prefer a beach vacation and ski vacation than an adventure vacation.

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Explanation:

Let's go through the four answer choices to see which one is true.

A vertical 1-meter stick casts a shadow of 0.4 meters , then the height of the tree is 30 meters , the correct option is (c) .

We use the concept of proportions to find the height of the tree .

We know that , A vertical stick of 1 meter casts a shadow of 0.4 meters.

We have to find the height of tree which casts a shadow of 12 meter at the same time ,

Let x =  the height of the tree in meters.

So , we can write ,

⇒ 1/0.4 = x/12 ,

Simplifying this proportion:

We get ,

⇒ 0.4x = 12 ,

⇒ x = 12/0.4

⇒ x = 30

Therefore, the height of the tree is Option(c) 30 meters.

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The given question is incomplete , the complete question is

A vertical 1-meter stick casts a shadow of 0.4 meters. If a tree casts a shadow of 12 meters at the same time, how tall is the tree?

(a) 13.4 meters

(b) 12.6 meters

(c) 30 meters

(d) 4.8 meters.

\((-12x^3 yz)(-4x^3yz^4)\\\\=48x^6y^2 z^5\)

Answer:

\( - 12{x}^{3} yz \times ( - 4 {x}^{3} y {z}^{4} )\)

\(48 {x}^{6} {y}^{2} {z}^{5} \)

Step-by-step explanation:

\( \frak{answered \: by....... \fbox{iuynsm}}\)

Answer:

28.4253408071... ft

Step-by-step explanation:

If you are saying that the diameter is the hypotenuse of the triangle, then we can use Pythagora's theorem to solve for it:

\(a^2+b^2=c^2\\18^2+22^2=c^2\\324+484=c^2\\808=c^2\\28.4253408071...=c\)

If the question doesn't mention rounding, then that's our answer.