Simplify to a single power of 4:

Answer:

y=12

Step-by-step explanation:

y=2x ,so 2x=8x-x^2

x^2=8x-2x

x^2=6x

x^2/x=6x/x

x=6

y=2x ,2(6)

y=12

Answer:

Step-by-step explanation:

How to find speed-

Use formula s= d/t

dist.= 50 m

t=2.25 hrs

S=22.2

(I used calculator u can too)

Answer:

$62.05 for 20 gallons

Sorry if I didn't get it correct. I don't really understand how you worded your question. <3

Step-by-step explanation:

$81 for 25 gallons =

81/25 = $3.24 for 1 gallon

$62.05 for 20 gallons =

62.05 / 20 = $3.10 for 1 gallon

A random variable X has a probability distribution as follows:

X = 0, 1, 2, 3

P(X) = 2k, 3k, 13k, 2k

where k is a positive constant. The probability P(X < 2.0) is 0.25.

What is random variable?

A quantity or item that depends on random events is formalised mathematically as a random variable, also known as a random quantity, aleatory variable, or stochastic variable. It is a function or mapping from potential outcomes to a quantifiable space, frequently to real numbers.

We know that probability sum of all events is 1

Therefore here sum of all probability events =P(X=0)+P(X=1)+P(X=2)+PX=3)=1

2k+3k+13k+2k=1

20k=1

k=1/20=0.05

For P(x<2)=P(X=0)+P(X=1)=2k+3k =5k=5*(1/20)=0.25

Hence the correct answer is b, 0.25

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According to the binomial distribution, there are 13 questions should the student expect to answer correctly.

Binomial distribution:

in statistics, binomial distribution refers the probability of getting a success must remain the same for the trials we are investigating.

Given,

A quiz consists of 24 questions. each question has 4 answer choices with exactly one correct answer. a student is completely unprepared for the quiz, so he guesses on all 24 questions.

Here we need to find how many questions should the student expect to answer correctly.

While we looking into the given question, we have identified that the total number of questions is 24.

Number of options = 4

So, the probability of getting correct answer = 1/4 = 0.25

The probability of getting incorrect answer is,

=> 1 - 1/4 = 3/4 = 0.75

So, based on the binomial distribution,

X ~ Binomial Distribution (m=25, p=0.25, q=0.75)

Then in probability it can be written as,

=> P (X=13) = (25C13)x ((0.25)¹³) x ((0.75)¹²)

=> P (X=13) = 0.00245461663

Therefore, the number of correct answers is 13.

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Answer:

1/2-x+6≥x-15

Step-by-step explanation:

Answer:

-15 and 11

Step-by-step explanation:

that it is important for likert-type scale response choices to be balanced at the ends of the response continuum. This means that there should be an equal number of positive and negative response options to avoid any bias or skew in the results.

An explanation for this is that if there are too many positive or negative response options, respondents may feel pressured to choose a certain option even if it doesn't accurately reflect their true opinion. This can result in inaccurate data and can skew the results of the survey or study.

balancing the response choices on a likert-type scale is crucial for obtaining accurate and unbiased data. By having an equal number of positive and negative options, respondents are more likely to provide honest and accurate responses.

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9514 1404 393

Answer:

  $234.00

Step-by-step explanation:

Simple interest is computed using the formula ...

  I = Prt

when principal P is invested at annual rate r for t years.

  i = $1560×0.03×5 = $234.00

The interest earned is $234.00.

The surface area generated by rotating the given curve about the y-axis is approximately 5.37 square units.

For finding the surface area generated by rotating a curve around the y-axis, the formula is S=2π∫aᵇ y√(1+(dy/dx)²) dx. To apply this formula, we find dy/dx and integrate the given curve.

Similarly, for the curve x=9t², y=6t³, we use the formula for parametric equations, Surface Area = ∫[2πx * sqrt((dx/dt)² + (dy/dt)²)] dt, from t=0 to t=5, and integrate it.

To find the surface area generated by rotating the given curve about the y-axis, we need to use the formula:

S = 2π∫aᵇ y√(1+(dy/dx)²) dx

First, we need to find dy/dx:

dx/dt = 18t
dy/dt = 18t²

dy/dx = dy/dt ÷ dx/dt = 18t² ÷ 18t = t

Now, we can plug in y and dy/dx into the formula and integrate from 0 to 5:

S = 2π∫0⁵ 6t³ √(1+t²) dt
S = 2π∫0⁵ 6t³(1+t²)⁽¹/²⁾ dt

This integral is a bit tricky to solve, so we can use integration by substitution. Let u = 1+t², then du/dt = 2t and dt = du/2t. Substituting into the integral:

S = 2π∫1²⁶(u-1)⁽¹/²⁾ du/2
S = π∫1² (u-1)⁽¹/²⁾ du
S = π(2/3)(2⁽³/²⁾ - 1)

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Answer:

17+5=17+5

No matter what order you put them it will always be the same

Answer:

17+5=5+17

Step-by-step explanation:

17+5=22

5+17=22

The coefficient of non-determination that shows unique rather than common variance is 0.64.

The amount of variance that is common among a group of objects is known as common variance. Items with high correlation will have a lot of variance in common. Common-method variance (CMV) is the fictitious "variance that is attributable to the measurement method rather than to the constructs the measures are assumed to represent" or, alternatively, "systematic error variance shared among variables measured with and introduced as a function of the same method and/or source".

Depending on a number of variables, the inter correlations across measures that are impacted by CMV or common-method bias might be inflated or deflated.

The coefficient of non-determination = 100% - coefficient of determination

= 100 -36

= 64%

= 0.64

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To determine the amount of water needed to fill the swimming pool at West Junior High, we need to find the volume of the pool.

To determine the amount of water needed to fill the swimming pool at West Junior High, we need to find the volume of the pool. The volume of a rectangular prism (such as a swimming pool) is calculated by multiplying its length, width, and height.

Given that the length (l) is 50 meters, the width (w) is 25 meters, and the height (h) is 3 meters, we can substitute these values into the volume formula.

The volume of the pool can be calculated as follows:

V = l * w * h

Substituting the given values:

V = 50 * 25 * 3

Now, let's simplify this expression:

Multiplying 50 by 25 gives us 1250:

V = 1250 * 3

Multiplying 1250 by 3 gives us 3750:

V = 3750

Therefore, the volume of the pool is 3750 cubic meters. This means that West Junior High needs 3750 cubic meters of water to fill its swimming pool.

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Answer:

5

Step-by-step explanation:

Find the GCF of 5 and 10, if their LCM is 10. Therefore, the greatest common factor of 5 and 10 is 5. The product of two numbers is 50.

Answer:

32

Step-by-step explanation:

x+102=4x+6

102=3x+6

96=3x

32=x

Hope this helps!!!

Answer: 71

Step-by-step explanation: to get the answer you have to know that all the angles of a triangle have to add up to 180 so therefore you add the angles they gave you and then you minus them from 180 and you get 71

Answer:

A) 3

B) 2\(\sqrt{6}\)

C) 3\(\sqrt{2}\)

Step-by-step explanation:

A

3x3 = 9

B

24 = 2x2x2x3  We can pull out a pair of 2 and are left with 6

C

18 = 2x3x3  We can pull out a pair of 3 and are left with 2

Answer:

D 2.5

Step-by-step explanation:

12x = 30  Divide both sides by 12

x = 2.5

Answer:

Step-by-step explanation

12x=30

x=30÷12

x=2.5

So,the correct answer is D=2.5

Answer:

side length of square C is 5 ft

Step-by-step explanation:

A, B andC are the areas of the sides of a right triangle.

C is the square on the hypotenuse of the right triangle.

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

C² = A² + B² = 9 + 16 = 25 ft²

the area of a square is  s² , where s is the side length, then

s² = 25 ( take square root of both sides )

s = \(\sqrt{25}\) = 5 ft

The amount that they insurance will cover is $9000.

Insurance is a risk management tool. When you purchase insurance, you are purchasing protection against unforeseen financial losses. If something bad happens to you, the insurance company will pay you or someone you choose.

The deductible in an insurance policy is the amount paid out of pocket by the policyholder before the insurance provider will pay any expenses. In general, the term deductible refers to one of several types of clauses used by insurance companies as a payment threshold for policy payments.

In this case, the amount paid by insurance will be:

= Total amount - Deductible

= $10000 - $1000

= $9000

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Answer:

Step-by-step explanation:Health insurance doesn’t pay all of your healthcare expenses. Instead, you’re expected to foot the bill for part of the cost of your care through your health plan’s cost-sharing requirements like your deductible, copayments, and coinsurance.

This article will explain how coinsurance works, how it differs from deductibles and copays, and how you can know what to expect in terms of the bills you may receive from your medical providers.

Since deductibles and copayments are fixed amounts, it doesn’t take a lot of math to figure out how much to pay. A $30 copayment to fill a prescription or see a doctor will cost you $30 no matter how much the total bill for the prescription or office visit was.

Your health insurance picks up the rest of the tab (note that this generally only applies if you use an in-network provider and fulfill any prior authorization requirements that your insurance plan has).

A nurse talking to her patient in the clinic lobby

Hero Images / Getty Images

However, calculating your health insurance coinsurance payment is trickier. Since coinsurance is a percentage of the total cost for the service, you’ll owe a different amount of coinsurance for each service you receive.

If the healthcare service you received was cheap, your coinsurance won’t be much. However, if the healthcare service was expensive, your coinsurance could wind up being hundreds or even thousands of dollars (on the high end, your coinsurance will be limited by your health plan's maximum out-of-pocket).

You need to understand how to calculate your health insurance coinsurance payment so you’ll know how much you’ll owe for coinsurance and you can budget for it.

Find Your Coinsurance Rate

You’ll need to find your coinsurance rate for the type of care you’re getting. You should be able to locate this in the Summary of Benefits and Coverage you got when you enrolled in your health plan. Sometimes you can even find it on your health insurance card.

Coinsurance typically kicks in after you've met your deductible, so you'll want to understand how much your deductible is as well. You'll pay your medical bills in full (at the negotiated discounted rate that your insurer has with your medical provider) until you've met your deductible. Then you'll start to pay coinsurance.

On some health plans, coinsurance can be the same percentage no matter what type of service you get. For example, 30% coinsurance for hospitalization and 30% coinsurance for specialty drug prescriptions.

In other health plans, you might have a low coinsurance rate for some services and a higher rate for other types of services. For example, you could have 35% coinsurance for hospitalization, but only 20% coinsurance for surgery at an outpatient surgery center.

And it's very common for prescription drug coverage to be structured with copayments for drugs that are in lower-cost tiers, but coinsurance for higher tier or specialty drugs. So you may be accustomed to paying a flat dollar amount at the pharmacy, but then end up having to pay a percentage of the cost of a new prescription—which can get quite expensive, depending on the drug.

Find the Cost of Your Care

Once you know your coinsurance rate, you need to determine the total cost of the healthcare service you received. If you’re using an in-network provider, your health plan has already negotiated discounts from that provider.

Calculate your health insurance coinsurance payment based on the discounted rate, not the standard rate charged to people who don’t belong to your health plan.

Find this in-network discounted amount on your Explanation of Benefits (EOB) listed as “allowed amount" (the EOB will also show the amount the provider billed, which will generally be higher than the allowed amount).

If you haven’t gotten the healthcare service yet, you won’t have an EOB to check. You can try asking your medical provider or health insurer what the in-network rate for that particular service is.

But know that sometimes you simply won't be able to get an accurate estimate of the total cost of your treatment in advance, either because the information is considered proprietary (as part of the network negotiations between the insurer and the medical provider) or because the medical provider won't know in advance exactly what services need to be performed.

The Trump administration finalized a healthcare transparency rule that will be phased in starting in mid-2022 (and fully in force by 2024), requiring health plans to make pricing and network-approved costs available to consumers upon request.1

This rule is controversial, with insurers deriding it as unnecessary and costly (it is expected to result in lower MLR rebates, as well as higher premiums in the individual/family health insurance market), while HHS officials herald it as a big step forward for healthcare price transparency.2

Answer:

$1.8

Step-by-step explanation:

divide .45/2 and get .225

multiply this by 8 and get 1.8

it would cost 1.8n

Answer:

$1.80

Step-by-step explanation:

45/2 = 22.5 cents per pencil

0.225 × 8 = $1.8

The probability that only fruits appear in the windows is 4/5 or 0.8.

Given that a slot machine has four windows, the wheel behind each window has the same five identical objects: cherry, grape, peach, star, and jackpot. The total number of possible outcomes can be calculated as follows:5 × 5 × 5 × 5 = 625 total outcomes. As there are five fruits, the probability of only fruits appearing is:

P(fruits) = (number of outcomes with only fruits) / (total number of outcomes)

Now, to find the number of outcomes with only fruits, each window has 4 fruits and as there are 5 fruits, it can be filled in 5 ways. Thus, the number of outcomes is:5 × 5 × 5 × 4 = 500. Therefore, the probability of only fruits appearing is:

P(fruits) = (number of outcomes with only fruits) / (total number of outcomes)

P(fruits) = 500/625

P(fruits) = 4/5

The probability that only fruits appear in the windows is 4/5 or 0.8.

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The solution to the matrix equation [3 -1; -1 2] [a; b] = [7; -9] is option B- a = 2 and b = 1.

To solve the matrix equation, we need to find the values of a and b that satisfy the equation.

the matrix [3 -1; -1 2] and the column matrix [a; b], we perform matrix multiplication by multiplying corresponding elements and summing the products.

The resulting equation is:

3a - b = 7,

-a + 2b = -9.

We can solve this system of linear equations by using various methods such as substitution or elimination.

Using the elimination method, we multiply the first equation by 2 and the second equation by 3 to eliminate the coefficients of a:

6a - 2b = 14,

-3a + 6b = -27.

Adding these two equations, we get:

3a + 4b = -13.

Next, we multiply the second equation by 2 and add it to the first equation to eliminate the coefficients of b:

6a - 2b + (-2a + 4b) = 14 + (-18),

4a + 2b = -4.

Simplifying, we obtain:

7a = -18,

a = -18/7.

Substituting this value back into the first equation, we find:

3(-18/7) - b = 7,

-54/7 - b = 7,

b = -54/7 - 7,

b = -9/7.

Therefore, the solution to the matrix equation is a = -18/7 and b = -9/7, which can be simplified to a = 2 and b = 1 which is option b.

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Answer:

Step-by-step explanation:

You can’t solve this equation as none of the numbers have the same coefficient to solve. If you wanted to solve for x and y, you will need two equations as there are two unknown variables in the equation and the only way to solve for x and y is to use simultaneous method which includes two equations.

Given that the height of a ball thrown straight up into the air with an initial velocity of 40 ft/s after t seconds is given by y=40t-16t². We need to calculate the average velocity for different time periods(i) When t = 2 and lasting 0.5 seconds:y=40t-16t², so the height at t = 2 is y = 40(2) - 16(2)² = 24 ftThe height after 2.5 seconds is y = 40(2.5) - 16(2.5)² = 15 ftThe average velocity over this time interval is the change in distance (15 - 24 = -9 ft) divided by the change in time (0.5 s).

Therefore, the average velocity is -18 ft/s.(ii) When t = 2 and lasting 0.1 seconds:y=40t-16t², so the height at t = 2 is y = 40(2) - 16(2)² = 24 ftThe height after 2.1 seconds is y = 40(2.1) - 16(2.1)² = 21.84 ftThe average velocity over this time interval is the change in distance (21.84 - 24 = -2.16 ft) divided by the change in time (0.1 s). Therefore, the average velocity is -21.6 ft/s.(iii) When t = 2 and lasting 0.01 seconds:y=40t-16t², so the height at t = 2 is y = 40(2) - 16(2)² = 24 ftThe height after 2.01 seconds is y = 40(2.01) - 16(2.01)² = 23.0384 ft.

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Answer:

Option D is correct answer.

Step-by-step explanation:

Hey, there!

Before finding a,b,c, you remember the formula of quadratic equation,

\(a {x}^{2} + bx + c = 0\)

Where, "a" represents thecoefficient of, x^2 "b" represents the coefficient of y and "c" is a numerical value.

So, the value of a,b,c in this equation "-2x^2+4x-3=0" is:

a= -2

b= 4

and c= -3.

Hope it helps...

Answer:

D

Step-by-step explanation:

EDGE 2021

Answer:

Human coastal development has also helped jellyfish thrive. The structures and construction that we have placed in the water, such as piers, marinas, oil platforms, artificial reefs, refuse, rubble, aquaculture pens and structures, etc. provide an abundance of habitats for polyps to settle on.