Someone plz help me!

The new balance will be -27.50.

It should be noted that for each day that her checking account balance falls below zero, she is charged by the bank a fee of $7.50 per day.

Since her current balance in the account is –$12.50, the new balance after 2 days will be:

= -12.50 + (-7.50 × 2)

= -12.50 + -15

= -27.50

The balance is -27.50

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The expected utility of Marlee with the ticket from Fony is 28.

The utility function of Marlee is given by u(x) = x+k. Here, k equals 100 if Marlee gets to go to the concert and equals 0 otherwise.

Marlee has $100 to buy tickets to the Fleet Foxes concert in Atlanta. She found two different websites selling tickets, Fony Front Seats and Best Tickets. If she buys a $20 ticket from Fony, there is a 60% chance that the ticket is fake, but she won't know until she gets to the concert.

If she buys a $60 ticket from Best Tickets, the ticket is certainly real. The seat placements for both tickets are identical and it costs $10 in gas to get to the concert.

Marlee's utility function is given as u(x) = x+k, where k equals 100 if Marlee gets to go to the concert and equals 0 otherwise. Her goal is to maximize her utility function.

Marlee is facing a trade-off between the cost of the ticket and the probability of getting a real ticket.

If she buys a $20 ticket from Fony, there is a 60% chance that the ticket is fake, but she won't know until she gets to the concert. Thus, there is a 40% chance that the ticket is real.

So, the expected utility of Marlee with the ticket from Fony is given by,

0.6u(0)+0.4u(100-20-10)=0.6(0)+(0.4)(70)=28

Therefore, the expected utility of Marlee with the ticket from Fony is 28. This indicates that Marlee will not be able to go to the concert if she buys the ticket from Fony Front Seats.

If she buys a $60 ticket from Best Tickets, the ticket is certainly real. Therefore, the expected utility of Marlee with the ticket from Best Tickets is,

u(100-60-10)=u(30)=30+100=130

Therefore, the expected utility of Marlee with the ticket from Best Tickets is 130.

This indicates that Marlee should buy the ticket from Best Tickets to get the maximum utility.

Therefore, Marlee should buy her ticket from Best Tickets because she will receive the maximum utility if she buys the ticket from Best Tickets.

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Answer: the answer is overt and structured

Answer:

The answer is D. overt and unstructured

Step-by-step explanation:

I just took the quiz, hope this helps. Have an amazing day/night/afternoon!

Let's solve your equation step-by-step.

2x2−5x=7

Step 1: Subtract 7 from both sides.

2x2−5x−7=7−7

2x2−5x−7=0

2x2+−5x+−7=0

Step 2: Use quadratic formula with a=2, b=-5, c=-7.

x=−(−5)±√(−5)2−4(2)(−7)/2(2)

x=5±√81/4

Answer:

x= 7/ 2

or x=−1

the same thing

Answer:

x = [-b +- sqrt(b^2-4ac)]/2a

Step-by-step explanation:

On average, there are approximately 1140 skiers riding on the lift at any one time.

To find out how many skiers are riding on the lift at any one time, we can use the following formula:

Number of skiers riding = (Rate of unloading) x (Time for one round trip)

Since the ride from the bottom to the top takes 19 minutes, the time for one round trip is 38 minutes (19 minutes up and 19 minutes down).

So, we can calculate the number of skiers riding on the lift at any one time as follows:

Number of skiers riding = (1800 skiers/hour) x (38/60 hour)

Number of skiers riding = 1140 skiers

Therefore, on average, there are approximately 1140 skiers riding on the lift at any one time.

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Answer:

3.5

Step-by-step explanation:

LJ/sin 23° = 9/sin 89°

LJ/0.39 = 9/0,99

LJ = (9*0.39)/0.99 = 3.517

LJ ≈ 3.5

Answer:

3.5

Step-by-step explanation:

∠K is about 3 times less than ∠J

so opposite sides have roughly same ratio

Only the last option, 3.5 is close to the length 3 times less than 9

By using a sampling technique  we ensure that we choose a sample of students that is representative of all 8:00 am classes.

There are  varieties of sampling strategies: chance sampling includes random selection, permitting you to make sturdy statistical inferences approximately the complete organization. Non-opportunity sampling entails non-random selection primarily based on convenience or different standards, permitting you to without problems gather records.

Random sampling is part of the sampling technique wherein every sample has an same possibility of being chosen. A sample chosen randomly is meant to be an unbiased representation of the overall population.

explanation;

we conclude the

Since the students' lecture hallsare on different building the samples are

Dividing the students into groups, the students will be grouped by the buildings of their lecture halls.

The number of students in each building is:

There are 100 students in each building

Then select at random an equal proportion of student from each building let 20 students in each building.

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The equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

What are parallel lines?

Parallel lines are coplanar infinite straight lines that do not intersect at any point in geometry. Parallel planes are planes that never meet in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance.

To find an equation for the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5),

We use the equation of a line: v = v₀ + tv₁

where v₀ and v₁ are points on the line and t is a real number.

Substitute the given points in for v₀ and v₁: v = (0, 1, −8) + t(6, 7, −5)

This equation of the plane is Ax + By + Cz = D, where A, B, C, and D are constants to be determined.

Equate the components:

0x + 1y - 8z = D....(1)

6x + 7y - 5z = D...(2)

Now, we subtract equation (1) from (2) and we get

6x - 0x + 7y - 1y - 5z + 8z = 0

6x + 6y + 3z = 0

Hence, the equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

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Answer:

90 white marbles and 45 gray marbles

Step-by-step explanation:

The coordinates of the reflected triangle are A' = (-3, -4), B' = (1, -4) and C' = (3, -1)

Given that, the graph of ABC has coordinates A(-3,4) B(1,4) and C(3,1) which is reflected across the x-axis,

So,

The rule of the reflection across the x-axis is = (x, y) → (x, -y)

So, the coordinates of the reflected triangle will be,

A' = (-3, -4)

B' = (1, -4)

C' = (3, -1)

The graph is attached.

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The angle measurements of angle B as represented in the diagram shown is 150°

An equation is an expression that shows the relationship between two or more numbers and variables.

From the diagram:

∠A = ∠B (alternate interior angles)

Hence:

8x - 10 = 3x + 90

x = 20

∠B = 3(20) + 90 = 150°

The angle measurements of angle B as represented in the diagram shown is 150°

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Answer:

5.6

Step-by-step explanation:

11*7=77

11.8*7= 82.6

82.6-77=5.6

More specifically, these two triangles are congruent by the SAS congruence theorem. SAS stands for Side Angle Side.

Answer:

1100 is when the two cars met

Step-by-step explanation:

the two lines intercept at 1100, 60km

Answer:

y = 1/2x + 2

Step-by-step explanation:

y = mx + b is the format you use.

m = slope (rise over run)

b = y - intercept

To find the probability of drawing a 9 or a king from a well-shuffled deck of 52 cards, we need to determine the number of favorable outcomes and the total number of possible outcomes.

There are four kings in a deck (one king for each suit: hearts, diamonds, clubs, and spades), and there are four 9s in a deck (one 9 for each suit). However, one card (the king of hearts) is both a king and a 9. Therefore, we need to subtract this overlapping card from our count to avoid counting it twice.

The number of favorable outcomes (drawing a 9 or a king) is 4 (number of kings) + 4 (number of 9s) - 1 (overlapping card) = 7.

The total number of possible outcomes is 52 (since there are 52 cards in a deck).

Now, we can calculate the probability using the formula:

\(\[P(\text{{9 or king}}) = \frac{{\text{{Number of favorable outcomes}}}}{{\text{{Total number of possible outcomes}}}}\]\)

\(\[P(\text{{9 or king}}) = \frac{7}{52}\]\)

This fraction cannot be further simplified since 7 and 52 do not share any common factors other than 1.

Therefore, the probability of drawing a 9 or a king from a well-shuffled deck of 52 cards is \(\( \frac{7}{52} \)\).

In LaTeX, the solution can be represented as:

\(\[P(\text{{9 or king}}) = \frac{7}{52}\]\)

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Answer:

B. 44cm

Step-by-step explanation:

d(diameter) = 2r (radius)

d = 2 X 22 cm

d = 44 cm

Answer:

D. x^2-x-9-12/x-2

Step-by-step explanation:

We can use synthetic division to divide (x^3 - 3x^2 - 7x + 6) by (x - 2). First, we set up the division as follows:

    2 |   1   -3   -7    6

       |______2___-2__-18

       | 1   -1   -9  -12

The numbers on the bottom row of the synthetic division table represent the coefficients of the quotient polynomial. Therefore, the quotient is x^2 - x - 9, and the remainder is -12.

So, we have:

(x^3 - 3x^2 - 7x + 6) / (x - 2) = x^2 - x - 9 + (-12 / x - 2)

Therefore, the correct option is D: x^2 - x - 9 - 12/(x - 2).

Answer:

14/15÷3/5 =1 5/9

Step-by-step explanation:

14/15÷3/5=?

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

14/15×5/3=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

14×5 15×3=7045

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 70 and 45 using

GCF(70,45) = 5

70÷5 45÷5=14/9

The fraction

14/9

is the same as

14÷9

Convert to a mixed number using

long division for 14 ÷ 9 = 1R5, so

14/9=1 5/9

Therefore:

14/15÷3/5=1 5/9

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Therefore , the solution of the given problem of quadrilateral comes out to be  EFHG is dilation of figure ABCD.

A quadrilateral is a four-sided shape with four corners that is used in mathematics. The term is either derived from the Latin words "quad" or "portfolio of inventive (meaning "side"). The three factors of a rectangle are four corners, four regions, and four corners. The two main types of concave and convex shapes are convex and concave. The subcategories of trapezoids, rectangular shapes, angles, rhombuses, but also squares are also considered to be convex quadrilaterals.

Here,

A transition that changes a figure's size is a dilation. Each point's coordinates are multiplied by a scale factor, which is a fixed value higher than zero, to achieve this.

A magnification occurs when the scale factor is higher than 1; a reduction occurs when the scale factor is between 0 and 1. (a reduction). The spot around which the figure is resized is the centre of dilation.

Figure ABCD is enlarged from position Q in this instance.

This indicates that the corresponding point in the dilated figure is created by multiplying each point in EFHG  by a scale factor.

The amount of scaling is determined by the scale factor. The dilated figure will be bigger than ABCD if the scale factor is greater than 1, and smaller than ABCD if the scale factor is between 0 and 1.

So,  EFHG is dilation of figure ABCD.

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Answer:

qreg

Step-by-step explanation:

ergreg

Step-by-step explanation:

Result:

1.5 - 1 1/5 = 3/10 = 0.3

Spelled result in words is three tenths. 

How do you solve fractions step by step?

Conversion a decimal number to a fraction: 1.5 = 15/10 = 3/2

a) Write down the decimal 1.5 divided by 1: 1.5 = 1.5/1

b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

1.5/1 = 15/10

Note: 15/10 is called a decimal fraction.

c) Simplify and reduce the fraction

15/10 = 3 * 5/2 * 5 = 3 * 5/2 * 5 = 3/2

Conversion a mixed number 11/5 to a improper fraction: 1 1/5 = 1 1/5 = 1 · 5 + 1/5 = 5 + 1/5= 6/5

The acceleration in first 15 minutes = 200  km/h²

The distance between the two cities = 125 km

Average Speed of train during the journey =  62.5  km/hr

According to the given question:

Each block of horizontal  is 1/8 hr = 7.5 min

Each block of vertical is 10 km/hr

Time                     Velocity  (km/hr)

0 Min  ( 0 hr)               0

15 Min (1/4 hr)           50

45 Min (3/4 hr)           50

60 MIn  ( 1 hr)           100

90 Min  ( 3/2 hr)        100

120 Min ( 2hr)             0

The acceleration in first 15 minutes = (1/4 hr)  =  (50 - 0)/(1/4 - 0)  = 50/(1/4)

= 200  km/h²

The distance between the two cities =

= (1/2)(0 + 50)(1/4 - 0)  + 50 * (3/4 - 1/4)  + (1/2)(50 + 100)(1 - 3/4)  + 100 * (3/2 - 1) + (1/2)(100 + 0)(2 - 3/2)

=  25/4  + 25 + 75/4   + 50 + 25

= 125

Distance between two cities = 125 km

Average Speed of train during the journey = 125/2  = 62.5  km/hr

Therefore,

The acceleration in first 15 minutes = 200  km/h²

The distance between the two cities = 125 km

Average Speed of train during the journey =  62.5  km/hr

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Answer: \(26.4\ \text{days}\)

Step-by-step explanation:

Given

Half life of radioactive substance is \(T_{\frac{1}{2}}=20\ \text{days}\)

Initial amount \(A_o=2\ \text{days}\)

Amount left at any time is given by

\(\Rightarrow A=A_o2^{\dfrac{-t}{T_{\frac{1}{2}}}}\\\\\Rightarrow 2=52^{\dfrac{-t}{20}}\\\\\Rightarrow 0.4=2^{\dfrac{-t}{20}}\\\\\Rightarrow 2^{\dfrac{t}{20}}=2.5\\\\\Rightarrow \dfrac{t}{20}\ln 2=\ln (2.5)\\\\\Rightarrow t=\dfrac{20\ln (2.5)}{\ln 2}\\\\\Rightarrow t=26.4\ \text{days}\)

It takes 26.4 days to reach 2 gm.

Therefore, the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM is approximately 0.1755, rounded to four decimal places.

To calculate the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM, we need to use the Poisson distribution formula. The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time or space. In this case, the mean (λ) is given as 5. The formula for the Poisson distribution is:

P(X = k) = (e*(-λ) * λ\(^k\)) / k!

Where:

P(X = k) is the probability of getting exactly k calls

e is the base of the natural logarithm (approximately 2.71828)

λ is the mean number of calls (given as 5)

k is the number of calls (in this case, 4)

k! is the factorial of k

Let's calculate the probability using the formula:

P(X = 4) = (e*(-5) * 5⁴) / 4!

P(X = 4) ≈ 0.1755

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\(\huge\color{pink}\boxed{\colorbox{black}{Answer♡}}\)

so ,

\(new \: selling \: price = 150 + \frac{26}{100} \times 150 \\ = > 150 + 39 \\ = > 189 \: rs\)

hσpє hєlpful~

Based on the information given the selling price of the pen set is $189.

Using this formula

Selling price=Selling price of pen+(Profit percentage× Selling price of pen)

Let plug in the formula

Selling Price=$150 +( 26% ×$150)

Selling Price=$150 +$39

Selling Price=$189

Inconclusion  the selling price of the pen set is $189.

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the null hypothesis for the given t-test\(`[h, p, 0] = ttest(morningsections, eveningsection)`\)

In the t-test formula for hypothesis testing, the null hypothesis states that there is no difference between the two groups being tested. Therefore, for the given t-test below:

`[h, p, 0] = ttest(morningsections, eveningsection)`,

the null hypothesis is that there is no significant difference between the average bedtimes of students in morning sections versus evening sections.

To explain further, a t-test is a type of statistical test used to determine if there is a significant difference between the means of two groups. The formula for a t-test takes into account the sample size, means, and standard deviations of the two groups being tested. It then calculates a t-score, which is compared to a critical value in order to determine if the difference between the two groups is statistically significant.

In this case, the two groups being tested are morning sections and evening sections, and the variable being measured is the average bedtime of students in each group. The null hypothesis assumes that there is no significant difference between the two groups, meaning that the average bedtime of students in morning sections is not significantly different from the average bedtime of students in evening sections.

The alternative hypothesis, in this case, would be that there is a significant difference between the two groups, meaning that the average bedtime of students in morning sections is significantly different from the average bedtime of students in evening sections. This would be reflected in the t-score obtained from the t-test, which would be compared to the critical value to determine if the null hypothesis can be rejected or not.

In conclusion, the null hypothesis for the given t-test\(`[h, p, 0] = ttest(morningsections, eveningsection)`\) is that there is no significant difference between the average bedtimes of students in morning sections versus evening sections.

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