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Answer:

seeing as no one is answering I will

Answer:

= 11/2

Step-by-step explanation:

When we have two points, we can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -4 -7)/(-6 - -4)

    = ( -4 -7)/(-6 +4)

    = -11/-2

     = 11/2

Answer:

40

Step-by-step explanation:

hope it helps and sorry if it's wrong but i wish you luck

Answer:

With the discounts, you saved a total of $4.90. You still owe $29.10.

Step-by-step explanation:

Shoes:

10% of 24 is 2.4

The shoes cost 21.60  with the 10% discount and before tax.

Belt:

25% of 10 is 2.5

The belt cost $7.50 with the 25% discount and before tax.

Total:

You still owe 29.10 for the belt and shoes before tax.

You saved $2.4 on the shoes and $2.5 on the belt (total of $4.90)

Answer:

Stephanie changed the inequality sign after division. The correct answer will be t ≤ 5.

Step-by-step explanation:

Given that:

Amount of gift card received = $100

Inequality solved by Stephanie;

11t + 45 ≤ 100

11t + 45 - 45 ≤ 100 - 45

11t ≤ 55

\(\frac{11t}{11}\leq \frac{55}{11}\)

t ≥ 5

Stephanie did all the steps right but flipped the inequality at the end after division.

The inequality is flipped when it is divided by a negative number.

Hence,

Stephanie changed the inequality sign after division. The correct answer will be t ≤ 5.

Answer:

8.33

Step-by-step explanation:

1hr=60 minutes

?hr = 500 minutes

To find how many hours, divide 500 by 60

500/60 = 8.33

500 minutes = 8.33 hours

Answer:

\(2y = - 4x + 15 \\ y = - 2x + 7.5 \\ \\ slop \: is \: x \: factor \: - 2\)

The survey randomly selected students nationwide if they traveled outside the country for spring break and a 99% confidence interval which is 753 students.

The formula for a confidence interval for a proportion is:

CI = p ± z*sqrt((p*(1-p))/n)

where p is the sample proportion, n is the sample size, and z is the critical value from the standard normal distribution corresponding to the desired confidence level.

In this case, the confidence interval is given as (0.0994, 0.1406), which means:

p = (0.0994 + 0.1406) / 2 = 0.1200

The critical value for a 99% confidence interval is z = 2.576.

Substituting these values into the formula and solving for n, we get:

0.0206 = 2.576*sqrt((0.12*(1-0.12))/n)

Squaring both sides and solving for n, we get:

n = (2.576² * 0.12 * 0.88) / (0.0206²) = 752.3

Rounding up to the nearest integer, we get:

n = 753

Therefore, the survey included 753 students.

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The type of sampling used in this scenario is B. Stratified sampling. Stratified sampling involves dividing the population into distinct subgroups or strata and then selecting samples from each subgroup.

In this case, Miranda divides her day into three parts: morning, afternoon, and evening. Each part of the day represents a stratum or subgroup.  Miranda measures her breathing rate at 4 randomly selected times during each part of the day. This means she is taking samples from each of the three strata (morning, afternoon, and evening) and collecting data from within those subgroups.

By using stratified sampling, Miranda ensures that her samples represent the different parts of her day in a proportional and systematic manner, allowing her to capture potential variations in her breathing rate throughout the day.

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Answer:

Step-by-step explanation:

y+2=3(x+1)

y+2=3x+3

y+3x+5

y=mx+b

m=x-intercept

x-intercept=3

Answer:

  (-1/3, 0)

Step-by-step explanation:

You want the x-intercept of the line y +2 = 3(x + 1)​.

The x-intercept is the point where the graph intersects the x-axis. The value of y is zero there. It can be found by solving the equation for x with 0 substituted for y.

  0 +2 = 3(x +1) . . . . . substitute y=0 in the given equation

  2/3 = x +1 . . . . . . . . divide by 3

  -1/3 = x . . . . . . . . . . subtract 1

The x-intercept is x=-1/3. The point there is (-1/3, 0).

The number of students who were wearing spirit wear at the assembly is = 120.

As given in Question that 3 out of 10 students were wearing spirit were.

if we have these type of Question then we will find the fraction part for 1 student as given 3 out of 10 then  the fraction part for 1 will be = 3/10 = 0.3

for 1 student there  is 0.3 fraction of students has wear spirit wear

so for 400 students were at the assembly

for 1 fraction is 0.3

for 400 = 400*(0.3 )= 120

Here 120 students were wear spirit wear in assembly

as like type we can solve for any number of students who were in assembly . like if there is 500 student the we can do like 500*.03 = 150 students.

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Answer:

There are 28 marbles in the box. Some are red (12), others are yellow (6) and others are blue (10).

If in this box there 28 marbles and 6 of them are yellow, we substract to get the quantity of marbles that aren't yellow: 28-6 = 22

So 22 of the 28 marbles aren't yellow: 22/28, which we can simplify dividing the numerator and denominator by 2: 11/14

Answer:

The second one

Step-by-step explanation:

She started with x dollars and then used 8 dollars to buy a football game ticket, so x-8. Then, she is left with 56 dollars, so x-8=56. Therefore, the second story represents the equation.

Answer:

y=-4x-5

Step-by-step explanation:

Use the equation of the line formula, y=mx+b

since we know that the slope is -4, we just have to find b

plug the points into the equation, y=-4x+b

(3)=-4(-2)+b

simplify

3=8+b

subtract 8 from both sides

b=-5

plug b into the equation

y=-4x-5

Answer:

56 + 8x

Step-by-step explanation:

8(7) + 8(x)

= 56 + 8x

Answer:

Step-by-step explanation:

42)1.50/6=0.25

43)3/2=1.5

44)1x2=2

Answer:

42.) $0.25 per banana.

43.) 1.5 cakes per hour.

44.) 2 pounds of food per hour.

Step-by-step explanation:

42.)

\(\frac{Cost}{Amount}=\frac{1.50}{6}=0.25\)

43.)

\(\frac{Amount}{Time}=\frac{3}{2}=1.5\)

44.)

\(\frac{Amount}{Time}=\frac{1}{0.5}=2\)

Answer:

The distance between boat A and boat B will be 7.2 units apart.

What is the distance between two points?

It is the measure of distance between the two points and is known as length. The length is measured in meters generally. Let one point be (x, y) and another point be (h, k).

Then the distance between the points will be

D² = (x - h)² + (y - k)²

A marina is looking like a direction framework. Boat An is moored at (3.1, −1) and Boat B is moored at (−4.1, −1).

Then the distance between the points (3.1, −1) and (−4.1, −1) will be given as,

D² = (-1 + 1)² + (3.1 + 4.1)²

D² = (7.2)²

D = 7.2 units

The distance between boat A and boat B will be 7.2 units apart.

Answer:

7 Units

Step-by-step explanation:

Answer:

Step-by-step explanation:

-1

Answer:

The probability is 1/6 for each side. Each side has a 1/6 chance of getting rolled.

It would be 2/6 if your trying to get either 3 or 6 because there's two sides you can get which would equal 2/6.

Step-by-step explanation:

I hope this helped, have a nice day!

The probability of rolling a three or six is 2/6

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an occurrence may be calculated using the following formula.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Given:

probability of getting 2= 1/6

probability of getting 6 = 1/6

So, the probability of rolling a three or six

=1/6 + 1/6

=2/6

=1/3

Hence, probability of rolling a three or six is 1/3.

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The rate of cahne of rate with respect to bags is.

Therfore, the rate is 30.

Since, the slope of the graph is positive. The variation is direct.

Answer:

The total amount accrued, principal plus interest, from simple interest on a principal of $9,100.00 at a rate of 2.5% per year for 3 years is $9,782.50.

Step-by-step explanation:

Principle amount = P = £9100

interest rate = r = 2.5% per year

Time period = t = 3

Simple Interest = 9100 × 2.5% × 3 = £682.5

Total amount = Principal amount + Simple interest

                        = 9100 + 682.5

                        = £9782.5

Therefore, the total amount accrued, principal plus interest, from simple interest on a principal of £9,100.00 at a rate of 2.5% per year for 3 years is £9,782.50.

Answer:

Say you have to find two consecutive integers whose sum is 89. How do you go about this problem? You first take a variable, say x, the value of which is unknown to you. Next, you are supposed to take another number. Since the problem requires you to use two consecutive integers, the integer next to x will be (x + 1). Now as per the problem, the sum of x and (x+1) is 89. We represent this in the form of an equation: x + (x + 1) = 89. Solving this equation we get x as 44 and the next integer (x + 1) as 45, the sum of which is 89.

Step-by-step explanation:

Answer:

smallest circle. last option

Step-by-step explanation:

The mathematical expectation for the number of spaces moved in one turn can be calculated by considering all possible outcomes and their corresponding probabilities.

In this game, the spinner has four equally-sized sectors labeled 1, 3, 5, and 6. The sum of the two spins can result in three possible outcomes: even, odd, or a tie (both spins result in the same number). If the sum is even, the player moves backward 6 spaces. If the sum is odd or a tie, the player moves forward 2 spaces. To calculate the mathematical expectation, we need to determine the probability of each outcome and multiply it by the corresponding number of spaces moved. The probability of getting an even sum is 3/8 (since there are three even numbers out of eight total possibilities). In this case, the player moves backward 6 spaces. The probability of getting an odd sum is also 3/8. In this case, the player moves forward 2 spaces. The probability of a tie is 1/8 (since there is only one possibility). In this case, the player neither moves forward nor backward. The mathematical expectation is then calculated as follows:

(3/8) * (-6) + (3/8) * 2 + (1/8) * 0 = -1.125

Therefore, the mathematical expectation for the number of spaces moved in one turn is -1.125 spaces. To determine which option Anya should choose, we need to calculate the mathematical expectations for both options and compare them. Option A involves spinning a spinner twice, and the spinner has four equally-sized sectors labeled 1, 2, 5, and 5. The sum of the two spins can result in values from 2 to 10.

To calculate the mathematical expectation for option A, we need to determine the probability of each sum and multiply it by the corresponding money outcome.

If the sum is greater than 6, Anya is awarded $8. If the sum is 6 or less, Anya must pay $2.

The probabilities and outcomes are as follows:

P(sum > 6) = 5/16, with an outcome of +$8

P(sum <= 6) = 11/16, with an outcome of -$2

The mathematical expectation for option A is calculated as:

(5/16) * 8 + (11/16) * (-2) = 1.25

Option B involves flipping a coin three times. If heads appear three times, Anya is awarded $50. Otherwise, she must pay $1.

The probability of getting three heads in three coin flips is (1/2)^3 = 1/8, with an outcome of +$50. The probability of any other outcome (tails appearing at least once) is 1 - 1/8 = 7/8, with an outcome of -$1. The mathematical expectation for option B is calculated as:

(1/8) * 50 + (7/8) * (-1) = 5.375

By comparing the mathematical expectations, we can see that the mathematical expectation for option B is higher (5.375) compared to option A (1.25). Therefore, by choosing option B, Anya can expect to make $5.375 more on average compared to choosing option A.

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∠1 + ∠2 = 180

Substituting the given expressions for ∠1 and ∠2:

8x + (2x - 3) = 180

Simplifying and solving for x:

10x - 3 = 180

10x = 183

x = 18.3

Now we can substitute x back into the expression for ∠1 to find its measure:

∠1 = 8x = 8(18.3) = 146.4 degrees.

Therefore, if ∠1 and ∠2 add up to 180 degrees and ∠1 is given as 8x° and ∠2 is given as (2x - 3)°, then ∠1 measures 146.4 degrees

Answer:

<1=146.4

<2=34.6

Step-by-step explanation:

<1+<2=180 degrees

So,

8x+(2x-3)=180

10x-3=180

10x=183

X=18.3

subsitute:

<1=8x

<1=8(18.3)

<1=146.4

<2=2x-3

<2=2(18.3)-3

<2=34.6

a) Demand function: Qd = 30,000 - 100P, Supply function: Qs = -P b) Equilibrium price: $303.03, Equilibrium quantity: 27,697 vehicles. c) New equilibrium price: $333.33, New equilibrium quantity: 24,000 vehicles. d) Excess demand of 417 vehicles. e) New equilibrium price: $250, New equilibrium quantity: 24,750 vehicles.

a) The demand function for the bridge usage can be written as:

Qd = 30,000 - 100P

Where Qd represents the quantity demanded (number of vehicles crossing the bridge) and P represents the toll price.

The supply function for the bridge usage can be written as:

Qs = -P

Where Qs represents the quantity supplied (number of vehicles allowed to use the bridge by the city) and P represents the toll price.

b) To find the equilibrium price and quantity, we set the quantity demanded equal to the quantity supplied:

30,000 - 100P = -P

Simplifying the equation, we get:

30,000 = 99P

P = 303.03

Substituting the value of P back into either the demand or supply function, we find:

Qd = 30,000 - 100(303.03)

Qd = 27,697

Therefore, the equilibrium price is $303.03 and the equilibrium quantity is 27,697 vehicles.

c) If the demand for the bridge usage decreases by 10%, the new demand function becomes:

Qd = 0.9(30,000 - 100P)

Setting the new demand equal to the supply function:

0.9(30,000 - 100P) = -P

Solving the equation, we find:

P = 333.33

Substituting the value of P back into the demand or supply function, we get:

Qd = 0.9(30,000 - 100(333.33))

Qd = 24,000

Therefore, the new equilibrium price is $333.33 and the new equilibrium quantity is 24,000 vehicles.

d) With a toll charge of $100, we use the demand function from part c) and the original supply function:

0.9(30,000 - 100P) = -100

Solving the equation, we find:

P = 305.56

Substituting the value of P back into the demand or supply function, we get:

Qd = 0.9(30,000 - 100(305.56))

Qd = 24,417

Since the quantity demanded is greater than the quantity supplied, there is an excess demand of 24,417 - 24,000 = 417 vehicles.

e) If the supply of the bridge usage decreases by half, the new supply function becomes:

Qs = -0.5P

Setting the new supply equal to the demand function from part c):

0.9(30,000 - 100P) = -0.5P

Solving the equation, we find:

P = 250

Substituting the value of P back into the demand or supply function, we get:

Qd = 0.9(30,000 - 100(250))

Qd = 24,750

Therefore, the new equilibrium price is $250 and the new equilibrium quantity is 24,750 vehicles.

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