A jet left Tokyo flying east one hour before a passenger plane. The passenger plane flew in the opposite direction going 200 mph faster than the jet for ten hours after which time the planes were 5570 mi. apart. How fast did the jet fly?

Answer:

(6 x 2) /3  

Step-by-step explanation:

(6 x 2) / 3

(Six times two) divided by three

Use Pemdas.

Parenthesis-Exponents-Multiplication-Division-Addition-Subtraction

6 multiplied by 2 equals 12

12 divided by 3 equals 4.

There are 4 shirts on each shelf.

____________________________________________________________

On the other hand though, if this question is looking for the total amount of shirts in general, it would be 12.

The probability that the student got an 'A' given they are male is approximately 0.12 or 12%.

To find the probability that a student got an 'A' given they are male, we need to use Bayes' theorem:

P(A | Male) = P(Male | A) × P(A) / P(Male)

We can find the values of the terms in the formula using the information given in the table:

P(Male) = (25/54) = 0.46 (the proportion of all students who are male)

P(A) = (17/54) = 0.31 (the proportion of all students who got an 'A')

P(Male | A) = (3/17) = 0.18 (the proportion of all students who are male and got an 'A')

Therefore, plugging these values into the formula:

P(A | Male) = 0.18 × 0.31 / 0.46

P(A | Male) ≈ 0.12

So the probability that the student got an 'A' given they are male is approximately 0.12 or 12%.

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Answer:

2 4/12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Which of the following is a linear function?

2. (5/6)x = y − 4 and 4. y =(1/5)x are the right answers.

Step-by-step explanation:

Linear function is in the form y=ax+b.

this might help

https://socratic.org/questions/a-number-cube-is-labeled-1-through-6-what-is-the-probability-of-rolling-a-number

The probability of getting even number is 1/2.

It is a measure of happening or non-happening of outcomes of a random experiment.

P(E) = Number of favorable outcomes/Total number of outcomes

According to the given question

We have

A cube labeled 1 to 6

Therefore,

sample space = {1, 2, 3, 4, 5, 6}

⇒ Total number of outcomes = 6

Numbers of even number on a die = { 2, 4, 6}

⇒ Total number of favorable outcomes = 3

So, the probability of getting even number = \(\frac{3}{6} = \frac{1}{2}\)

Hence, the probability of getting even number is 1/2.

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Answer:

196 gallon/minute

Step-by-step explanation:

Peter is filling a swimming pool with water

After a period of 7 minutes the pool is filled up with 1372 gallons

After 12 minutes the pool is filled up with 2352 gallons

Therefore the rate in gallon per minutes at which the pool is being filled can be calculated as follows

=( 2352-1372)/(12-7)

= 980/5

= 196 gallon/minute

Hence the pool is filled up at 196 gallon/minute

Answer:

Mean, median, mode is 7 and the range is 4

The numbered spot at which all the runners will be next to one another is spot 19.

Least Common Multiple is the meaning of the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It may also be computed using two or more real numbers.

Starting with the runner on the outside track, the provided parameters are;

The runner covered n₁ = 5 places on the outside track, which is the number of spaces.

Next, the inner runner will traverse n₂ spaces, which equals one space.

The following inner runner will cover n₃ = 3 spaces.

The subsequent runner will traverse n₄ = 2 spaces.

The Lowest Common Multiple, or LCM, of all the runners' speeds or the total number of spaces they cover in the same amount of time, determines where all the runners will be placed next to one another.

LCM(5, 1, 3, 2) = 30 is the LCM of 5, 1, 3, and 2.

Time = 30/ = 6

Consequently, when the first runner has covered 30 places, we have;

Six time units have been expended.

The runner comes to a stop at position 30- (30 -19) = Position 19.

First runner's new destination is Spot 19.

The distance covered simultaneously by runner 2 is 6 x 1 = 6.

The distance covered by two runners running simultaneously equals six spaces.

Second runner's new position: 6 spaces plus spot 13 equals spot 19.

The combined distance covered by the three runners is 6 x 3 = 18.

The distance runner 3 covers 18 spaces simultaneously.

Third runner's new position: 18 spaces + Spot 1 = 19 spaces

Runner 4 covers a distance of 6 x 2 = 12 at the same time.

Distance runner 4 journeys equals 12 spaces

Runner 4's new position is now 12 spaces Plus Spot 7 = Spot 19.

Therefore, all the runners will be next to one another is spot 19.

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Answer:

Niczego nie dołączyłeś. Więc nie mogę ci pomóc.

Answer

3

Step-by-step explanation:

(4-1)^2+(8-8)^2=9

square root of 9 is 3

The expression that is equivalent to the expression 2ˣ⁺⁴ is 16(2ˣ)

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

2ˣ⁺⁴

The above expression is an exponential expression with the following properties

When the above expression is expanded, we have

2ˣ⁺⁴ = 2ˣ * 2⁴

Evaluate the expression 2 exponent 4

So, we have the following representation

2ˣ⁺⁴ = 2ˣ * 16

Rewrite as follows

2ˣ⁺⁴ = 16 * 2ˣ

This gives

2ˣ⁺⁴ = 16(2ˣ)

Hence, the expression that is equivalent to the expression is 16(2ˣ)

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Answer:

The answer is "0.765 and 0.2353".

Step-by-step explanation:

Please find the complete question in the attached file.

In point a:

P(a substantive term only)\(=0.75-0.2 =0.55\)

P(major health insurance only) \(= 0.45-0.20=0.25\)

P(both)\(= 0.20\)

P(renewal) =P(insurance and renewal term only)+P (substantial and renewable health insurance only)+P (both and renew)

\(=0.55\times 0.7+0.25 \times 0.8+0.2 \times 0.9 \\\\ =0.765\)

In point b:

In reality, the probability of having both life and major medical insurance provided the policyholder would renew next year

\(= \frac{\text{P(both and renew)}}{\text{P(renew)}}\)

\(=\frac{0.2\times 0.9}{0.765}\\\\=0.2353\)

So, the trade discount for 15 boxes of computer paper if the unit price is $14.26, and a single trade discount rate of 45% allowed is $96.255.

Trade discount refers to the reduction in list price known as a discount, allowed by a supplier to the consumer while selling the product generally in bulk quantities to the concerned consumer to increase the sales of the business as more customers are attracted when the discount is given on the list price of the product.

We have to calculate the trade discount for 15 boxes of computer paper.

the unit price of computer paper is $ 14.26, and a single trade discount rate is 45% allowed.

The trade discount on one unit computer paper is.

= 45%×14.26

= $6.417

now, trade discount on 15 unit of computer paper box is.

=6.417×15

=$96.255.

So, the trade discount for 15 boxes of computer paper if the unit price is $14.26, and a single trade discount rate of 45% allowed is $96.255.

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Answer: Madison can travel 2.2 miles less than Anthony on one gallon of gas.

Step-by-step explanation:

The equation y = 39.1\(x\) represents the number of miles, \(y\), that madison can drive her car for every x gallons of gas.

Question: Madison can travel _ miles _ than Anthony on one gallon of gas.

Lets find how much Madison travels on 1 gallon of gas.

39.1(1) = 39.1

Therefore, Madison travels 39.1 miles on one gallon of gas.

Now lets solve for Anthony

Anthony travels 380.7 miles on 9 gallons of gas.

Therefore we can set up the equation:

9x = 380.7 to show that 9 gallons equates to 380.7 miles

to solve divide 9 from both sides

\(\frac{9x}{9} =\frac{380.7}{9}\)

x = 41.3

So, Anthony travels 41.3 miles on one gallon of gas

Now find whether Madison travels more or less than Anthony on one gallon.

39.1 - 41.3 = -2.2

This means that Anthony can travel 2.2 miles more than Madison.

For your answer, this means that:

Madison can travel 2.2 miles less than Anthony on one gallon of gas

Hope this helped and have a nice day :)

Answer:

68

Step-by-step explanation:

x = original number of marbles

x = 104 - 36

x = 68

Answer:

2 and -9

Step-by-step explanation:

2 times -9 is -18

2 plus -9 is -7

Hope this helped!

The value of n(AUB) i.e. union of A and B is 53.

What are Intersections and Unions in Probablity?

The union of two sets results in a new set that contains all of the items from both sets. The union is abbreviated as A∪B or "A or B." The intersection of two sets yields a new set containing all of the members from both sets. The junction is denoted by the letters A∩B or "A and B."

Solution:

Given that,

n(A) = 14

n(B) = 51

n(A∩B) = 12

We know that thee formula is n(AUB) = n(A) + n(B) - n(A∩B)

Putting the values,

n(AUB) = 14 + 51 - 12 = 53

So, the answer for the value of n(AUB) = 53

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Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.

aggregate attempting to determine the whole amount, time, or quantity. The amount at issue or under investigation is very active. the overall outcome, significance, or import. a third accounting, the principal, and the interest. There are word forms for quantities, amounting, and amounted. adaptable noun A thing's quantity is how much of it there is, that however much someone have, the amount you require or how much you can get. He needs that much money to make ends meet.

given

You can use a fraction to express the percentage 20%.

This is inferred from the fact that the sign for percentage,% means to divide by 100.

Therefore, it is important to understand that 20% equals 20/100, or 1/5.

As a result, the 20% tip represents one-fifth of the total.

Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.

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Answer:

Area of Parallelogram Using Diagonals ; Using Base and Height, A = b × h ; Using Trigonometry, A = ab sin (x) ; Using Diagonals, A = ½ × d1 × d2 .....

Using Diagonals: A = ½ × d1 × d2 sin (y)

Using Base and Height: A = b × h

Using Trigonometry: A = ab sin (x)

Answer:

A

Step-by-step explanation:

consider the coordinates of points C and A

C (4, - 1 ) and A (- 3, 2 )

4 → - 3 in the x- direction is - 7

- 1 → 2 in the y- direction is + 3

then the translation rule is

(x, y ) → (x - 7, y + 3 )

The critical value for a confidence level of 98% with a sample size of 32 is given as follows:

t = 2.4528.

The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the equation presented as follows:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

The variables of the equation are listed as follows:

The critical value, using a t-distribution calculator, for a two-tailed 98% confidence interval, with 32 - 1 = 31 df, is t = 2.4528.

(df is one less than the sample size).

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Answer: $18.90

Step-by-step explanation:

multiply both by 15

subtract from each other

The goal is to find the radius of a circle which also helps to get the diameter. Finding the center helps to measure and know the circumference.

Answer:

$585/month

Step-by-step explanation:

To determine how much money Mr. Smith has left over monthly to put into savings, we need to first calculate his monthly income and his monthly expenses, including taxes.

Mr. Smith's hourly rate is $20, and he works full time, which is typically 40 hours per week. Therefore, his weekly income is:

$20/hour x 40 hours/week = $800/week

To find his monthly income, we multiply his weekly income by the number of weeks in a month:

$800/week x 4 weeks/month = $3,200/month

To find his monthly expenses, we add up the amounts for his household and automobile expenses:

$1,410/month (household) + $405/month (automobile) = $1,815/month

Since Mr. Smith gets about 25% of his income taken out for taxes, we need to calculate the amount of taxes he pays each month:

$3,200/month x 0.25 = $800/month (taxes)

Now we can subtract his monthly expenses and taxes from his monthly income to find out how much money he has left over to put into savings:

$3,200/month - $1,815/month - $800/month = $585/month

Therefore, Mr. Smith has $585/month left over to put into savings after paying his expenses and taxes.

Im diying:(

dont be mean man

Answer:

AB =  4.9cm

Step-by-step explanation:

We know

AC is 9.1 centimeters, and BC is 4.2 centimeters.

Find AB

We take

9.1 - 4.2 = 4.9cm

So, AB = 4.9cm

Answer:

t=13.28382 ≈ 13.3 years

It takes 13.3 years to amount $15700 from the principal $6500.

Given that, a person invests 6500 dollars in a bank. the bank pays 6.75% interest compounded semi-annually.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = A = P(1+r/n)^nt

Now, 15700 =6500(1+6.75/2×100)^2t

⇒ 15700/6500=(1+6.75/200)^2t

⇒ 15700/6500=1.03375^2t

⇒ 2.415=1.03375^2t

Take the logarithm of both sides of the equation to remove the variable from the exponent.

Exact Form:

t=ln(2.415)/2ln(1.03375)

Decimal Form:

t=13.28141707

≈ 13.3 years

Therefore, it takes 13.3 years to amount $15700 from the principal $6500.

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y≤−5x−10 and y>x+2 The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.

To graphically solve this system of linear inequalities, we can start by graphing each inequality on the same coordinate system:

First, let's graph the inequality y ≤ -5x - 10. We can start by graphing the line y = -5x - 10, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,-10), and draw a straight line passing through them.

Next, we need to determine which side of the line satisfies the inequality y ≤ -5x - 10. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y ≤ -5x - 10 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:

0 ≤ -5(0) - 10

0 ≤ -10

This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.

Now, let's graph the inequality y > x + 2. We can start by graphing the line y = x + 2, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,2), and draw a straight line passing through them.

Next, we need to determine which side of the line satisfies the inequality y > x + 2. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y > x + 2 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:

0 > 0 + 2

This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.

Now, we can shade the region that satisfies both inequalities. The shaded region is the region that is below the line y = -5x - 10 (including the line itself) and above the line y = x + 2 (excluding the line itself).

The shaded region is shown below:

Graph of y≤−5x−10 and y>x+2

The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.

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