Tickets to a school play cost $3 or a student and $8 for adults .on opening night $1000 was collected and 150 were sold.gow many of each kind of ticket we’re sold .

Answer:

253009

Step-by-step explanation:

503^2=253009

If a certain blood test is 99.5% effective at detecting Foreign Bloodborne Pathogens:

a. The probability that both tests correctly detect a Foreign Bloodborne Pathogen is approximately 0.990.

b. The probability that all ten tests correctly detect a Foreign Bloodborne Pathogen is approximately 0.951.

c.  The probability that at least one test fails to detect a Foreign Bloodborne Pathogen is 0.993.

The probability that the blood test correctly detects a Foreign Bloodborne Pathogen is 0.995, and the probability that it fails to detect a Foreign Bloodborne Pathogen is 0.005.

1. Probability that both tests correctly detect a Foreign Bloodborne Pathogen:

The probability of both tests correctly detecting the pathogen is the product of the probability of the first test correctly detecting the pathogen and the probability of the second test correctly detecting the pathogen. Since the two tests are independent, we can multiply the probabilities. Therefore, the probability of both tests correctly detecting the pathogen is:

0.995 x 0.995 = 0.990025

So, the probability that both tests correctly detect a Foreign Bloodborne Pathogen is approximately 0.990.

2 Probability that all ten tests correctly detect a Foreign Bloodborne Pathogen:

The probability that all ten tests correctly detect a Foreign Bloodborne Pathogen is the product of the probabilities of each individual test correctly detecting the pathogen, since each test is independent. Therefore, the probability of all ten tests correctly detecting the pathogen is:

0.995^10 ≈ 0.951

So, the probability that all ten tests correctly detect a Foreign Bloodborne Pathogen is approximately 0.951.

3. Probability that at least one test fails to detect a Foreign Bloodborne Pathogen:

The probability that at least one test fails to detect a Foreign Bloodborne Pathogen is the complement of the probability that all 1,000 tests correctly detect the pathogen. Therefore, the probability that at least one test fails to detect a Foreign Bloodborne Pathogen is:

1 - 0.995^1000 ≈ 0.993

So, the probability that at least one test fails to detect a Foreign Bloodborne Pathogen is approximately 0.993.

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Answer:

80% of the batch is water.

Step-by-step explanation:

If 1/5 of the batch is concentrate, that leaves 4/5 of the batch being water. 4/5 simplifies out to .8, which is 80%.

Step-by-step explanation:

3x+4=7x-4

add 7x to each side of equation 4x+3x+-7x=-4x+7x+-7x

combine like terms 7x+-7x=0

4+ -4x =-4 +0

4+-4x= -4

add -4 to each side of equation 4+ -4 +-4x=-4+-4

combine like terms -4 +4=0

0+ -4x = -4+ -4

combine like terms -4+-4=-8

-4x =-8

divide each side by-4

x=2

simplifying

x = 2

The equation of the circle with endpoints of a diameter at (-14, -3) and (-4, -1) in standard form is (x + 9)² + (y + 2)² = 65/4, where the center is (-9, -2) and the radius is √(65)/2.

To find the equation of a circle in standard form, we need to know the center and the radius of the circle.

The midpoint of the diameter is the center of the circle, which can be found using the midpoint formula:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Midpoint = ((-14 + (-4))/2, (-3 + (-1))/2)

Midpoint = (-9, -2)

The radius can be found by using the distance formula to find the distance between one of the endpoints and the center:

r = √((x2 - x1)² + (y2 - y1)²)/2

r = √((-4 - (-9))² + (-1 - (-2))²)/2

r = √(65)/2

Putting it all together, the equation of the circle in standard form is:

(x + 9)² + (y + 2)² = 65/4

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The signature of the Principal Investigator on the final proposal does not imply responsibility for the availability of funding or the financial aspects of the project.

The complete question should be What does the signature of the Principal Investigator on the final proposal NOT imply responsibility for?

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Answer:

163

Step-by-step explanation:

you should cut the shape into smaller pieces to solve

btw i cant show my work, because i'm really poor and cant afford paper to write on.

Answer:

Y=X+1=2+1=3

Step-by-step explanation:

{

X

=

2

Y

=

3

Explanation:

Combining the two equations, we find:

2

X

−

1

=

Y

=

X

+

1

Subtract

X

from both ends to get:

X

−

1

=

1

Add

1

to both sides to get:

X

=

2

Then:

Y

=

X

+

1

=

2

+

1

=

3

gravity is 32.17 ft/sec

1454 ÷ 32.17 = 45.20 seconds = answer

Answer:9.5

Step-by-step explanation:

The height of domino #7 is approximately 6.89 cm tall.

The formula for the nth term of a geometric progression is:

\(a_n = a * r^(^n^-^1^)\)

where:

a is the first term (the height of the smallest domino, 4.00 cm),

r is the common ratio (the growth rate, 1.12), and

n is the term number (for domino #7, n = 7 + 1 = 8, because the sequence starts with domino #0).

Let's plug these values into the formula:

\(a_8 = 4.00 cm * (1.12)^7\)

(Note that we're using 7, not 8, because the first domino is #0, not #1.)

Now, compute the value:

\(a_8 = 4.00 cm * (1.12)^7\)

=  6.89 cm

So, domino #7 is approximately 6.89 cm tall.

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Answer:-9 to the fourth power is -6561

Step-by-step explanation: You would have to do 9 times 9 times 9 times 9 and that would equal 6561 then you would add the negative.So therefore the answer is -6561.

Please give brainliest if right.

Answer:

-6561

Step-by-step explanation:

\(-9^4 = -9 \times -9 \times -9 \times -9 = -6561\)

Step-by-step explanation:

4275 may answer hope its correct

Answer:

y=10;-10

Step-by-step explanation:

100 is a square number. We know that y can be a real number.

√100=10

y can either be 10 or -10 since 10²=100 and (-10)²=100.

Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.

To determine the number of months it takes to pay off the credit card and the total amount paid, including interest, we can follow these steps:

Step 1: Calculate the monthly interest rate.

The APR (Annual Percentage Rate) is given as 9.5%. To find the monthly interest rate, we divide this by 12 (the number of months in a year):

Monthly interest rate = 9.5% / 12 = 0.0079167

Step 2: Determine the monthly payment.

The monthly payment is given as $400.

Step 3: Calculate the interest and principal paid each month.

The interest paid each month can be calculated by multiplying the monthly interest rate by the current balance.

Principal paid = Monthly payment - Interest paid

Step 4: Track the remaining balance each month.

Starting with the initial balance of $1,367.90, subtract the principal paid each month to determine the new balance.

Step 5: Repeat Steps 3 and 4 until the balance reaches zero.

Continue calculating the interest and principal paid each month, updating the balance, until the remaining balance becomes zero.

Step 6: Determine the total number of months and the total amount paid.

Count the number of months it takes to reach a balance of zero. Multiply the number of months by the monthly payment ($400) to find the total amount paid.

Let's calculate the number of months and the total amount paid, including interest:

Month 1:

Interest paid = 0.0079167 * $1,367.90 = $10.84

Principal paid = $400 - $10.84 = $389.16

New balance = $1,367.90 - $389.16 = $978.74

Month 2:

Interest paid = 0.0079167 * $978.74 = $7.75

Principal paid = $400 - $7.75 = $392.25

New balance = $978.74 - $392.25 = $586.49

Month 3:

Interest paid = 0.0079167 * $586.49 = $4.64

Principal paid = $400 - $4.64 = $395.36

New balance = $586.49 - $395.36 = $191.13

Month 4:

Interest paid = 0.0079167 * $191.13 = $1.51

Principal paid = $400 - $1.51 = $398.49

New balance = $191.13 - $398.49 = -$207.36 (Paid off)

It takes 4 months to pay off the credit card. Now, let's calculate the total amount paid, including interest:

Total amount paid = 4 * $400 = $1600

Therefore, it takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.

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Answer:

Domain: 0<=x<=500

Range: 0<=y<=250

Step-by-step explanation:

I'm not sure if this is what you asked for. She spend 2 minutes reading 1 page, there are 250 pages, therefore: 250*2=500

the range is simply the total pages

Hope this help!

Answer:

Hi how are you doing today Jasmine

Answer:

i think more then the awnsers that are givin or im just being a dummy

Step-by-step explanation:

The equation 2sin(x)tan(x) + 3 = 0 has been proved to equal 2cos²(x) - 3cos(x) - 2 = 0

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

2sinxtanx+3=0

Rewrite as

2sin(x)tan(x) + 3 = 0

Express tan(x) as tan(x) = sin(x)/cos(x)

So, we have

2sin²(x)/cos(x) + 3 = 0

Multiply through by cos(x)

2sin²(x) + 3cos(x) = 0

Express sin²(x) as 1 - cos²(x)

So, we have

2(1 - cos²(x)) + 3cos(x) = 0

Expand

2 - 2cos²(x) + 3cos(x) = 0

Multiply through by -1

-2 + 2cos²(x) - 3cos(x) = 0

Rearrange the terms

2cos²(x) - 3cos(x) - 2 = 0

Hence, the equation has been proved

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The standard rate of conversion is

Therefore if Shane drinks 3 pints of milk in a week, then;

Answer:

$0.85

Step-by-step explanation:

$4.25 divided by 5 pounds equals $0.85 per pound.

Answer:

$0.85

Step-by-step explanation:

Find the unit rate.

4.25/5=x/1

Solve for x. X= 4.25/5=0.85

So 1 lb of tangerines costs $0.85.

Answer:

a

Step-by-step explanation:

i took the quiz

Answer:

A

Step-by-step explanation:

We know that this is the same as substituting a for x and multiplying the entire expression by -1.

\(f(a) = \frac{2a}{a - 1} \)

\( - f(a) = \frac{ - 2a}{a + 1} \)

The radius of the pencil is 3.32mm

The formula for determining the volume of a cylinder is expressed as;

V = πr²h

Given that the parameters are;

From the information given, we have that;

The volume of the cylinder = 110 π mm³

The height of the cylinder = 10mm

Now, substitute the values, we get

110π = πr² × 10

Multiply the values

110π = 10πr²

Divide both sides by the coefficient of r², we get;

r² = 110π/10

r² = 11

Find the square root of both sides

r = 3. 32mm

Hence, the value is 3.32mm

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The value of angle C to the nearest tenth is 21.6°

The Cosine Rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

c² = a² + b² - 2ab cosC

8² = 14² + 19² - 2 × 14 × 19 cos C

64 = 196+ 361 - 532cosC

64 = 557 - 532 cosC

532cos C = 557 -64

532cos C =

cosC = 493/532

cos C = 0.93

C = 21.6°( nearest tenth)

Therefore the value of angle C is 21.6°

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Answer:

The page numbers are 266 and 267

Step-by-step explanation:

I divided 533 by 2

Then get 266.5

Then guessed and checked which pages around that value added up to 533

and you get pages 266 and 267

Answer:

5m-n

Step-by-step explanation:

The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),

To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:

h = h0 + v0t + 1/2at^2

where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).

In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.

At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:

v = v0 + at

we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:

0 = 108 - 32.2t

t = 108/32.2 ≈ 3.35 s

Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.

Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:

h_hill = h0 + v0t + 1/2at^2 - h_top

where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:

h_top = h0 + v0^2/2a

Plugging in the given values, we get:

h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft

Plugging this into the first equation, we get:

h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78

h_hill ≈ 25.73 ft

If the arrow is launched at t0, the equation describing velocity as a function of time would be:

v(t) = v0 - gt

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Answer:

The area would be 87.5

Step-by-step explanation: