i need the answer to the equation

Answer:

False

Step-by-step explanation:

According to the solving the probability will be 0.159.

The area of mathematics known as probability deals with numerical assessments of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. In addition to being expressed in percentages ranging from 0% to 100%, probabilities can also be expressed as proportions between 0 and 1.

The incidence rate is = 0.2%  or 0.002

The false negative rate is = 8%  or 0.008

The false positive rate is = 1%  or 0.001

The probability is

0.01*(1-0.002) + 0.95*0.002

= 0.00998 + 0.0019 = 0.01188

Probability that a person who tests positive actually has the disease would be represented as:

Let the probability be represented by = p

p * 0.01188 = 0.95 * 0.002

p = 0.0019/0.01188

p = 0.159

Hence, probability is 0.159

According to the solving the probability will be 0.159.

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Answer:

A.=False

B.=True

C.=False

D.=True

Step-by-step explanation:

The original ration is 2 gallons of water for 4 players.

Each player requires 1/2 gallon of water.

To get the amount of water needed multiply 1/2 by the amount of players.

1*(1/2) does not equal 1

2*(1/2) equals 1

10*(1/2) does not equal 4

30*(1/2) equals 15

Using simultaneous equation, the solution to the system of linear equations are 1223 $10 tickets, 1332 $20 tickets, and 763 $30 tickets were sold.

Let's solve the problem step by step.

Let:

x = number of $10 tickets sold

y = number of $20 tickets sold

z = number of $30 tickets sold

From the given information, we can form the following equations:

Equation 1: x + y + z = 3318 (Total number of tickets sold)

Equation 2: y = x + 109 (109 more $20 tickets than $10 tickets were sold)

Equation 3: 10x + 20y + 30z = 61760 (Total sales from ticket sales)

We can use these three equations to solve for the values of x, y, and z.

First, let's substitute Equation 2 into Equation 1:

x + (x + 109) + z = 3318

2x + 109 + z = 3318

2x + z = 3209 (Equation 4)

Now, let's substitute the value of y from Equation 2 into Equation 3:

10x + 20(x + 109) + 30z = 61760

10x + 20x + 2180 + 30z = 61760

30x + 30z = 59580

x + z = 1986 (Equation 5)

We now have a system of equations (Equations 4 and 5) with two variables (x and z). We can solve this system to find the values of x and z.

Multiplying Equation 4 by 30, and Equation 5 by 2, we get:

60x + 30z = 96270 (Equation 6)

2x + 2z = 3972 (Equation 7)

Now, subtract Equation 7 from Equation 6:

(60x + 30z) - (2x + 2z) = 96270 - 3972

58x + 28z = 92298

Simplifying, we have:

29x + 14z = 46149 (Equation 8)

Now, we can solve Equations 5 and 8 simultaneously:

x + z = 1986 (Equation 5)

29x + 14z = 46149 (Equation 8)

Multiplying Equation 5 by 14, and Equation 8 by 1, we get:

14x + 14z = 27804 (Equation 9)

29x + 14z = 46149 (Equation 8)

Now, subtract Equation 9 from Equation 8:

(29x + 14z) - (14x + 14z) = 46149 - 27804

15x = 18345

Divide both sides of the equation by 15:

x = 18345 / 15

x = 1223

Substituting the value of x into Equation 5, we can find z:

1223 + z = 1986

z = 1986 - 1223

z = 763

Now that we have the values of x and z, we can substitute them back into Equation 1 to find y:

1223 + y + 763 = 3318

y + 1986 = 3318

y = 3318 - 1986

y = 1332

Therefore, the solution to the problem is:

x = 1223 (number of $10 tickets sold)

y = 1332 (number of $20 tickets sold)

z = 763 (number of $30 tickets sold)

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This means that the football’s height when it was kicked 41 yards away was -1.762 yards.

A yard is a unit of length measurement in the imperial and US customary systems of measurement. It is equal to 3 feet or 36 inches.

The equation given is a parabolic equation which models the path of the football. It is a quadratic equation in the form of y = ax² + bx + c, where a, b, and c are coefficients that determine the shape of the path. The coefficient a represents the rate of change in the football’s height as it moves away from the punter. In this equation, a is -0.035, which indicates that the football’s height decreases as it moves away from the punter. The coefficient b indicates the rate of change in the football’s height as it moves back toward the punter, and in this equation, b is 1.4, which means that the football’s height increases as it moves back towards the punter. Finally, the coefficient c is 1, which indicates the height of the football when it is kicked.

In this case, the football was kicked 41 yards, so plugging x = 41 into the equation gives us y = -0.035(41²) + 1.4(41) + 1 = -1.762.

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Answer:

Future value of annuity (FV) = $13,782.12 (Approx)

Step-by-step explanation:

Given:

Periodic payment p = $500

Interest rate r = 13% = 13%/4 = 0.0325 (Quarterly)

Number of period n = 5 x 4 = 20 quarter

Find:

Future value of annuity (FV)

Computation:

\(Future\ value\ of\ annuity\ (FV)=p[\frac{(1+r)^n-1}{r} ] \\\\Future\ value\ of\ annuity\ (FV)=500[\frac{(1+0.0325)^{20}-1}{0.0325} ] \\\\Future\ value\ of\ annuity\ (FV)=13,782.1219 \\\\\)

Future value of annuity (FV) = $13,782.12 (Approx)

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Answer:

-3 <-1

-3 is less than -1.

Answer: 16m

Step-by-step explanation: no problem.

Answer:

A critical number can have different meanings depending on the context. In mathematics, a critical number is a value of x where the derivative of a function is zero or undefined. It helps to find the maximum and minimum of a function. In business, a critical number is a metric that represents a weakness or vulnerability that needs to be addressed and corrected to improve the performance and security of the company

Step-by-step explanation:

Answer:

3^3 x 3.14

9 x 3.14 = 28.26

28.26  x 2 = 56.52

2 x 3.14 x 3 = 18.84

18.84 x 10 = 188.4

Now lets add all given areas:

56.52 + 188.4 = 244.92 m^2 for question 1

4 x 3.14 x 12^2

4 x 3.14 x 144 = 1,808.64 cm^2 is your answer for question 2

14^2 x 3.14

196 x 3.14 = 615.44

3.14 x 14 x 33 = 1450.68

1450.68 + 615.44 = 2,066.12 cm^2 is your answer for question 3 I think

Answer:

it's 13

√144+25=13

good luck

The amount obtained after 1 year from the whole property is obtained as $27866.82.

The compound interest is can be considered as a case when the interest is added for every interval of time.

The amount for the previous interval becomes the principal for the current one.

The total rent for 9 condos = 9 × 1300 = $11700.

The rate of interest is 7.5% monthly.

Total time = 1 year = 12 months.
The given problem is the case of compound interest for which the expression is given as follows,

A = P(1 + r/100)ⁿ

Substitute the corresponding values to obtain,

A  = 11700(1 + 7.5/100)¹²

    = 27866.82

Hence, the total annual amount received is given as $27866.82.

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Using the null hypothesis test we calculate that variance is less than 6.25 .

Data sample is 0.05.

20 people make up the sample.

And ,

The theories are:

H₀ : μ² = 6.25

H₁ : μ² < 6.25

The critical value = 10.117.

If the test statistic is less than this number, the null hypothesis will be rejected. When the p-value is less than or equal to your significance level, we reject the null hypothesis. The alternative theory, which contends that the effect is widespread, is supported by your sample data. The null must be removed when the p-value is low, as a mnemonic device.

This is the test statistic:

2.976 × 19 / 6.25 = 9.047.

Therefore, we disregard the null hypothesis. The difference is less than 6.25 since it is not 6.25.

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Answer:

9 peaches per bowl

40 hours each week

Answer:

Your mom

Step-by-step explanation:

Answer: c=3 m=5

Step-by-step explanation:

c is where it hits the y-axis

c=-3

m=slope, count rise/run = 5/1 = 5    pick points that hit the grid squarely

The equation of the line, represented in the graph is y = 5x +15.

And the value of m is 5 and the value of c is 15.

Use the concept of the equation of line defined as:

A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it.

And the equation the line passing through (x₁ , y₁) and (x₂, y₂):

y -  y₁ = m(x - x₁)

Where the slope of the line,

\(m = \dfrac{y_2 - y_1}{x_2 - x_1}\)

In the figure, it is shown that,

The line is passing through the points:

(0, -3) and (1, 2)

Then the slope of this line is,

\(m = \dfrac{2 +3 }{1-0}\\\\m = 5\)

Now the equation of line be,

y - 0 = 5(x + 3)

y = 5x + 15 which  is of the form y = mx  + c

Now after comparing we get,

m = 5 and c = 15

Hence,

The equation of the line is y = 5x + 15:

m = 5 and c = 15

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Answer:

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

Step-by-step explanation:

Step(i):-

Let 'x' be the length of the rectangle

Given that the width is 3 feet shorter than the length

The width of the rectangle = x -3

Area of the rectangle = length × width

Step(ii):-

Area of the rectangle = length × width

                                  = x ( x-3)

Given that the area of the rectangle = 70 square feet

                       x ( x-3) = 70

              ⇒   x² - 3x - 70 =0

              ⇒  x² - 10 x + 7 x - 70 =0

             ⇒  x (x -10) +7( x-10) =0

            ⇒ ( x+7) ( x-10) = 0

           ⇒  x =-7 and x=10

Final answer:-

we choose x=10

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

14x4,5÷100=0,63

14+0,63=14,63

Answer:

964.66

Step-by-step explanation:

1049. x 12% = $125.88

1049 - 125.88 = $923.12

923.12 x 4.5% = $41.54

923.12 + 41.54 = $964.66

The probability of observing 35 or fewer heads from 100 coin tosses assuming the coin is fair is approximately 0.13%. Assuming the coin is fair, the probability of observing a head on a single coin toss is 0.5, and the probability of observing a tail is also 0.5.

We can use the normal approximation to the binomial distribution to find the probability of observing 35 or fewer heads from 100 coin tosses. The mean of the binomial distribution is np = 100 x 0.5 = 50, and the standard deviation is the square root of np(1-p) = sqrt(100 x 0.5 x 0.5) = 5.

We can standardize the distribution by subtracting the mean and dividing by the standard deviation:

z = (35 - 50) / 5 = -3

Using a standard normal distribution table or calculator, the probability of observing a z-score of -3 or less is approximately 0.0013.

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Answer: He pays $1.05 in tax

Step-by-step explanation: You multiply 7% by 15.00 (15.00 x 7%) and then you get your tax. If it asks how much the cost is plus tax, you just add the number you got by multiplying 15 by 7 and to the original price, $15.00.

Answer:

hope it helps

Step-by-step explanation:

please mark me as brainliest thank you

Answer:

The approximate user base of the social media site 10 months from now would be approximately 52,374.

Step-by-step explanation:

To calculate the approximate user base of the social media site 10 months from now, considering a 4% increase per month, we can use the following steps:

1. Calculate the monthly growth factor: 1 + (4% / 100) = 1 + 0.04 = 1.04

2. Apply the growth factor to the current user base for each month:

  Month 1: 35,930 * 1.04 = 37,387.2 (approx.)

  Month 2: 37,387.2 * 1.04 = 38,868.49 (approx.)

  ...

  Month 10: Previous Month * 1.04

By repeating this calculation for each month, we can determine the approximate user base 10 months from now.

Month 1: 37,387.2

Month 2: 38,868.49

Month 3: 40,391.33

Month 4: 41,957.61

Month 5: 43,569.34

Month 6: 45,228.24

Month 7: 46,936.32

Month 8: 48,695.44

Month 9: 50,507.45

Month 10: 52,374.40 (approx.)

Therefore, the approximate user base of the social media site 10 months from now would be approximately 52,374.

The true expression about the account is D.) It is the sum of the initial amount and the additional amount after d days.

The answer is D because it represents the sum of the initial amount and the additional amount after d days. The initial amount is $10 and Owen adds $0.50 to the account each day for a number of days, represented by d.

By subtracting 1 from d, the expression ensures that on the first day (when d=1), only the initial $10 is counted. On each subsequent day, the additional amount of $0.50 is added to the total. Therefore, the expression 10+0.5(d−1) gives the amount of money in Owen's account after d days.

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Answer:

k = -6

Step-by-step explanation:

hello

saying that (x-2) is a factor of \(x^2+x+k\)

means that 2 is a zero of

\(x^2+x+k=0 \ so\\2^2+2+k=0\\<=> 4+2+k=0\\<=> 6+k =0\\<=> k = -6\)

and we can verify as

\((x^2+x-6)=(x-2)(x+3)\)

so it is all good

hope this helps

Answer:

53,000

Step-by-step explanation:

1 ten is 10

So 5,300 x 10 = 53,000

Other ways to say "5,300 tens":

53,000 ones

5,300 tens

530 hundreds

53 thousands

5.3 ten thousands

The number x = 5,300 is regrouped and is renamed as:

53,000 ones

5,300 tens

530 hundreds

53 thousands

5.3 ten thousands

Given data:

To regroup and rename 5,300 tens, we are essentially converting this number into a more manageable form while preserving its overall value.

First, we can recognize that 5,300 tens can be written as 53,000. This is because each "ten" represents a factor of 10, and multiplying by 10 once more shifts the number one place to the left, resulting in 53,000.

Another way to express this number is in terms of hundreds. Since 100 tens make a hundred, we can divide 53,000 by 100 to find that it is equal to 530 hundreds.

Furthermore, we can break it down even further by noting that 10 hundreds make a thousand. Thus, 530 hundreds are equivalent to 53 thousands.

Hence, the number 5,300 is regrouped and renamed.

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Answer:

\(Width = p + 4\)

Step-by-step explanation:

Given

\(Area = p^2 + 9p + 20\)

\(Length = p + 5\)

Required

Determine the width

The area of a rectangle is:

\(Area = Length * Width\)

This gives:

\(p^2 + 9p + 20= (p+5)* Width\)

Expand

\(p^2 + 4p + 5p + 20= (p+5)* Width\)

Factorize

\(p(p + 4) + 5(p + 4)= (p+5)* Width\)

\((p + 5) (p + 4)= (p+5)* Width\)

Divide both sides by p + 5

\(p + 4= Width\)

\(Width = p + 4\)

Answer:

The better buy is to buy 10 kilograms of potatoes at $ 3.92, since each kilogram costs $ 0.392.

Step-by-step explanation:

To find the cost per unit in each case and then state which is the better buy, the following calculations must be performed:

6kg of potatoes for $ 2.45:

2.45 / 6 = 0.408

15 kg of potatoes for $ 5.9:

5.90 / 15 = 0.393

10 kg of potatoes for $ 3.92:

3.92 / 10 = 0.392

Thus, the better buy is to buy 10 kilograms of potatoes at $ 3.92, since each kilogram costs $ 0.392.