1. The monthly rents for studio apartments in a certain city have a mean of $920 and a standard deviation of $190. Random samples of size 25 are drawn from the population and the mean of each sample is determined.



What is the mean of the indicated sampling distribution of sample means?



2. What is the standard error of the indicated sampling distribution of sample means?



3. Which one is more likely to take place?



a. Find one studio apartment that has a rent between $901 and $939.



b .Find a sample of 25 studio apartments with a mean rent between $901 and $939.

The transit and passenger trains will pass each other at 5:00 PM, considering their combined speed and the distance between New York and Boston.

The question involves using relative speed to determine the time at which two trains traveling towards each other will meet. The transit train travels from Boston to New York at a speed of 80 mph, and the passenger train travels from New York to Boston at a speed of 60 mph. Since both trains start at the same time and move towards each other, their combined speed is the sum of their individual speeds, which is 80 mph + 60 mph = 140 mph. To find the time taken for the trains to meet, we divide the total distance by their combined speed.

The distance between New York and Boston is 280 miles. Therefore, the time taken to meet is calculated by dividing the distance by the combined speed, which is 280 miles / 140 mph = 2 hours. Given that they departed at 3:00 PM, they will pass each other at 3:00 PM + 2 hours = 5:00 PM.

Line NP is a tangent line, so angle N is 90 degrees.

Use the Pythagorean theorem to solve for x.

X = sqrt( 10^2 - 6^2)

X = sqrt(100-36)

X = sqrt(64)

X = 8

Answer:

r

Step-by-step explanation:

got right on my test on edge

If we use v for Vidya's age, then the expression (24v)+6

Answer: 1.54

Step-by-step explanation: all you have to do is subtract 1.79 and 25 and you will get 1.54

Answer $1.54

Step-by-step explanation:

You have to take your original amount and subtract your coupon from that

The volume of the rectangular prism can be calculated by multiplying the base area (20cm2) with the height (9.2cm), giving a volume of 184cm3.

The volume of a rectangular prism can be calculated as the product of its base area and its height. This is a formula that mathematically represents the process of 'filling' the three-dimensional shape with tiny cubes, each having a side length of 1 cm. In this case, the given base area of the rectangular prism is 20cm2, and the height is 9.2cm.

To find the volume, you multiply these two measurements together. So, 20cm2 * 9.2cm = 184cm3. Hence, the volume of the rectangular prism is 184cm3.

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The interval of points less than -4 is represented as (-∞, -4) in interval notation. This represents all the numbers to the left of -4 on the number line, not including -4.

In Mathematics, when we refer to the interval of points that are less than a given number, we are discussing a range on a number line. For the question at hand, the interval of points that are less than -4 will consist of all numbers to the left of -4 (not including -4 itself). In interval notation, we typically express this as (-∞, -4). Here, the parenthesis ( as opposed to a bracket [ ) signifies that -4 is not included in our interval. Infinity ( ∞ ) is used to show that the range extends indefinitely.

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Answer:

4 2/3

Step-by-step explanation:

(m-4) (3m-2)=0

Use the zero product property to find the zeros

m-4 = 0             3m-2 =0

m =4                    3m =2

                              m = 2/3

We want the sum of the zero's

4+ 2/3

4 2/3

From the quadratic equation (m-4) (3m-2)=0, we find the zeros of this equation are m=4 and m=2/3. The sum of the zeros is 4 + 2/3 = 4 2/3 or 14/3.

The subject of the question is related to the zeros of a quadratic equation. A zero of a function is also referred to as a root or solution of the equation, which is the value of m that makes the function equal to zero. This equation has the form of (m-4) (3m-2)=0. It has two zeros: m=4 from (m-4)=0 and m=2/3 from (3m-2)=0.  

Since the question asks for the sum of the zeros, we need to add these two solutions together: 4 + 2/3 = 4 2/3 or 14/3, which is our final answer.

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Answer:

choice A.  9 is the degree.

Step-by-step explanation:

5х^5 + 8х^2 + 2х - 3x^9 - 8x^4 - 4х^5

to find the degree of this polynomial, you must look for the highest number in the exponent.

Here it appears to be 9  in the -3x^9 term

Answer:

w ≤ 13

Step-by-step explanation:

-2(w-4) ≥ -18

Divide both sides by -2:

w-4 ≤ -18/-2

Don't forget to turn the inequality around, because we divided by a negative number!! We had greater than, now we have less than.

w-4 ≤ 9

Add 4 to both sides:

w ≤ 13

Answer:

The sum of the interior angles of this polygon is (180°)(9 - 2) = 7(180°) = 1,260°.

The information given, y = 11 inches, z = 14 inches, h = 7 inches, and w = 3 inches, is not enough to calculate the area of an object unless its shape is known. If it's a rectangular prism, the volume can be calculated. But without further information, we cannot provide a specific area calculation.

The type of area an object will have depends on its shape. For example, the area of a rectangle is given by width times height (w * h). Similarly, the volume of a rectangular prism would be length times width times height (l * w * h). However, the given dimensions in the question (y = 11 inches, z = 14 inches, h = 7 inches, and w = 3 inches) are not enough to determine the shape of the object. We need additional information on how these dimensions are related to the shape of the object before we can calculate the area.

If for instance, this object is a rectangular prism, then we could calculate its volume. That volume would be y (depth) * z (width) * h (height). In this case with the provided values, the volume would be 11 inches * 14 inches * 7 inches = 1078 cubic inches.

Without more information on the object’s shape, we can’t make assumptions and provide a definitive calculation of the area.

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Answer:

-2x+3y=7

or

2x-3y= -11

Step-by-step explanation:

-2x+3y= -4, which is Ax+By=C

A=-2 B=3 C=-4

m(slope)= -A/B

m= -(-2)/3

m= 2/3

y-y1= m (x-x1)

y-3= 2/3 (x-1)

Multiply by 3 cancels out the fraction

3y-9= 2 (x-1)

Distributive property

3y-9= 2x-2

-2x+3y-9= -2

From here it could go 2 ways:

1. -2x+3y= 7

or

2. 2x-3y+9= -2

so

2x-3y= -11

Hope this helps

Answer:

A

Step-by-step explanation:

Given the exponential function

f(t) = 228[tex](0.975)^{t}[/tex] ← where t is time in years

Substitute t = 20 into f(t), that is

f(20) = 228 × [tex](0.975)^{20}[/tex] = 228 × 0.60268.... ≈ 137 → A

Answer:

infinite solutions, they overlap infinetely and go on infinitely, therefore they have infinite points of intersection.

Step-by-step explanation:

BRAINLIET PLZ

The number of solutions for the coincident lines is infinity many solutions.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

A coordinate plane is shown with two lines graphs.

Line M has a slope of 1 and passes through the y axis at negative 2.

Line N has a slope of 1 and passes through the y axis at negative 2.

It means that both lines are one over the other which is coincident.

Then the number of solutions for the coincident lines is infinity many solutions.

More about the linear system link is given below.

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Answer:

Vicky's take home pay per month will be $1,580

Step-by-step explanation:

Given that her salary per annual i.e salary for the year = $24,000

Therefore salary per month would be $24,000/12 = $2,000.

From this, she must pay 15% income tax.

i.e 15% of salary

15/100 * 2000

= 0.15*2000

= $300.

Salary after paying tax = $2,000 - $300= $1,700.

Since, she must repay a loan at a rate of $120 per month we will reduct the loan from her salary,

$1,700 - $120 = $1,580

Vicky's take home pay per month will be $1,580

Answer: Vicky's take home pay per month is $1,580

Step-by-step explanation: If Vicky's annual gross salary (salary before any deductions) is given as 24000, then her monthly gross salary is derived as;

Salary Per month = 24000/12

Salary per month = 2000

She must pay 15 percent income tax and this derived as follows;

Income tax = 2000 x 0.15

Income tax = 300

Therefore her salary after tax deduction is derived as follows;

Salary after tax = 2000 - 300

Salary after tax = 1700

However, she must repay a loan (after tax deduction) at a rate of 120 per month, which is now derived as follows;

Salary after loan repayment = 1700 - 120

Salary after loan repayment = 1580

Therefore the calculations show that her take home pay after all adjustments comes down to $1,580 per month.

Answer:i think 2

Step-by-step explanation: 2*2=4

Answer:2

Step-by-step explanation:2x2=4

Answer:

The value of c is -8

Step-by-step explanation:

Given

[tex]\frac{-3}{4} x^2 + 2 = 0[/tex]

Required

The value of c, when written in a general form.

The general form of a quadratic equation is written as ax² + bx + c = 0

To get the general form of [tex]\frac{-3}{4} x^2 + 2 = 0[/tex], we start by converting the fraction to whole number.

This is done by multiplying both sides of the equation by the denominator of the fraction (4)

Multiply through by 4; This gives us

[tex]4 * \frac{-3}{4} x^2 + 4 * 2 = 4 * 0[/tex]

[tex]-3x^2 + 8 = 0[/tex]

From the general form of a quadratic equation, ax² + bx + c = 0 , it'll be observed that a is positive and by comparison a = -3 (in [tex]-3x^2 + 8 = 0[/tex])

So, we have to convert -3 to a positive integer by multiplying both sides of the equation by -1. This gives

[tex]-1 * -3x^2 + -1 * 8 = -1 * 0[/tex]

[tex]3x^2 - 8 = 0[/tex]

Writing [tex]3x^2 - 8 = 0[/tex] in a more general form, we have

[tex]3x^2 + 0x - 8 = 0[/tex]

By comparing ax² + bx + c = 0  to [tex]3x^2 + 0x - 8 = 0[/tex]

a = 3

b = 0

c = -8

Hence, the value of c is -8

The value of "c" in the quadratic equation -3/4x^2 + 2 = 0, when written in the general form ax²+bx+c = 0, is 2.

The question asks, "When the following quadratic equation is written in general form, what is the value of "c"? -3/4x^2 + 2 = 0". In the general form, a quadratic equation is presented as ax²+bx+c = 0. To identify the value of c in this equation, we need to compare it to the general form. The given equation, -3/4x² + 2 = 0, already matches the general form where a = -3/4 and b = 0 (since there is no x term), leaving us with +2 as the constant term. Therefore, the value of c is 2.

Answer:

P(E|F)=60%  P(E)=60%  Events E and F are independent

Step-by-step explanation:

I took it and got it right

The events E (being blond) and F (being a junior) are not independent because P(E|F) = 30% does not equal P(E) = 60%.

To determine whether the events E (being blond) and F (being a junior) are independent, we compare the probability of E given F, denoted as P(E|F), to the probability of E. If P(E|F) is equal to P(E), the two events are independent. Using the table, we first calculate P(E|F). Since 30% of juniors are blond, we have P(E|F) = 30%. Next, we determine P(E) by looking at the total percentage of students who are blond, which is 60%. Now, we compare P(E|F) with P(E).

If the events were independent, the probability of a student being blond should not change based on whether they are a junior. However, since P(E|F) = 30% which is different from P(E) = 60%, events E and F are not independent.

Option C) Smith have to pay $180 at the time of purchase.

Step-by-step explanation:

Mrs. Smith wants to use an installment plan to buy a washing machine and dryer set priced at $1,500.

We need to find the payment amount at the time of purchase.

This can be calculated by finding the 12% of the total price $1500.

Smith have to pay at the time of purchase = 12% of 1500

⇒ (12/100) × 1500

⇒ 12 × 15

⇒ 180

Hence, option C) $180 is the amount need to be paid by the Smith at the time of purchase.

Mrs. Smith will have to pay $180 at the time of purchase, not including taxes. This matches option B.

To find the down payment Mrs. Smith has to pay at the time of purchase, we need to calculate 12% of the total price of the washing machine and dryer set.

 The total price of the set is $1,500.

The down payment is 12% of this price.

To calculate the down payment, we multiply the total price by the down payment percentage:

 Down payment = Total price x Down payment percentage

Down payment = $1,500 x 12%

 First, we convert the percentage to a decimal by dividing by 100:

 12% = 12 / 100 = 0.12

Now we can calculate the down payment:

Down payment = $1,500 x 0.12

Down payment = $180

 Therefore, Mrs. Smith will have to pay $180 at the time of purchase, not including taxes. This matches option B.

Answer:

x=107

Step-by-step explanation:

Answer:

$242

Step-by-step explanation:

You will need to use the compound interest formula for this.

[tex]P(1+\frac{r}{n} )^{nt}[/tex]

P = initial balance

r = interest rate

n = number of times compounded annually

t = time

Your equation will look like this:

[tex]150(1+\frac{.049}{1} )^{10}[/tex] = $242

Your answer is: $242

We are told that each person flips a coin 200 times. We know that a coin has two options when heads or tails fall, therefore, the results between Amir and Marvin are compared with the number of heads and the number of tails that each one obtained.

The theoretical probability says that out of 200 times a coin is flipped by having 50% heads or tails come out, 100 must be heads and 100 must be tails, theoretically obviously speaking.

Therefore with these values it would be the comparison.

Answer:

3456

Step-by-step explanation:

Answer:

Width 4 Length 5

Step-by-step explanation:

4+4+5+5=18

4*5=20

Answer:if your talking about a square or rectangle then two sides would 5 and the other two four

Step-by-step explanation:area equals base times height

Base=5

Height=4

5*4=20 which is area

5+5+4+4=18 which is perimeter

Answer:

Expression for smallest doll: 12(7/10)^3

Step-by-step explanation:

Since the largest doll is 12 inches, and we need to find the expression for the smallest one, we would multiply 12 and 7/10. Secondly, there are 4 dolls. We need to find the smallest doll's height, so it would be 7/10 times 7/10 times 7/10. Which could be simplified to (7/10)^3.

For the second question, just solve the expression and that is the height of the smallest doll.

 Answer:

C

Step-by-step explanation:

(3, -1)

Answer:

Your answer would be C

Step-by-step explanation:

Hope this helped!!!

Tell me if I am wrong

Answer:12, 12, 16, 22

Step-by-step explanation:

1. The number that occurs most is the mode

2. The range is the difference between the highest number and the lowest number.

3. The median in this case is the mean of the two middle numbers

A possible set of 4 numbers that fulfil the conditions of having a mode of 12, a median of 14 and a range of 10 could be: 11, 12, 12, 21.

In this problem, we need to find 4 numbers that meet the given statistical conditions - A mode of 12, a median of 14, and a range of 10. The mode is the most frequently occurring number. As there are only 4 numbers, for 12 to be the mode, it must appear at least twice. The median is the middle value when numbers are put in ascending order, so the middle numbers in our 4 number series must average to 14. Finally, the range is the difference between the largest and smallest numbers, which is stated as 10.

Using the above conditions, an example set could be: 11, 12, 12, and 21. Here, 12 is the mode (appears most frequently), 14 is the median (average of the two middle numbers 12 and 12) and 21-11 gives a range of 10.

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Answer:

20 t shirt

Step-by-step explanation: