what is the solution to the equation t-15=76

Answer:

14

Step-by-step explanation:

Answer:

Step-by-step explanation:

Short term 166,500 (150000x.11 then add that answer to 150000)

Long term 163,500

The value of the test statistic is -1.5.

Test statistic:

A test statistic is a statistic used in statistical hypothesis testing. A hypothesis test is typically specified in terms of a test statistic, considered as a numerical summary of a data set that reduces the data to one value that can be used to perform the hypothesis test.

The formula for test statistic:

Test statistic = z = \(\frac{P - P_{0} }{\sqrt{\frac{P_{0( 1 -P_{0} } }{n} } }\)

A sample of patients n = 150

Patients insured =x = 75

P = x/n

  = 75/ 150

  = 1/2

  = 0.5

\(P_{0}\) = 56/100

    = 0.56

Putting the values we get:

z = \(\frac{0.5 - 0.56}{\sqrt{\frac{0.56( 1- 0.56)}{150} } }\)

  = \(\frac{-0.06}{\sqrt{0.00164} }\)

  =   \(\frac{-0.06}{0.04}\)

  = - 1.5

Therefore the test statistic is -1.5.

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The common ratio 'r' is not constant, meaning that the series is not geometric.

Each term in a geometric series is created by multiplying the previous term by a fixed constant known as the common ratio.

To determine if the geometric series (4, -7, 49, -343, 16) is convergent or divergent, we need to find the common ratio 'r' of the series.

r = (next term) / (current term)

r = (-7) / 4 = -1.75

r = 49 / (-7) = -7

r = (-343) / 49 = -7

r = 16 / (-343) = -0.0466...

We can see that the common ratio 'r' is not constant, meaning that the series is not geometric, and therefore we cannot determine if it is convergent or divergent.

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Answer: The surface area of the rectangular box = the amount of wrapping paper needed to cover the rectangular box = 394.24 in.²

Step-by-step explanation:

Surface area = 2(wl + hl + hw).

Volume = Length x Width x Height

Given the following:

Volume = 476.16 in.³

Length = 4.8 in.

Width = 8 in.

Find the height (h) using the volume formula:

476.16 = 4.8 × 8 × h

476.16 = 38.4 × h

476.16/38.4 = h

h = 12.4 in.

Surface area = 2(wl + hl + hw) = 2(8 × 4.8 + 12.4 × 4.8 + 12.4 × 8) = 394.24 in.²

The amount of wrapping paper needed to cover the rectangular box = Surface area = 394.24 in.²

The equation that can be used to calculate how many minutes after 4:00 p.m. she will arrive at her location is y = 4x - 16.

The correct equation is:

y = 4x - 16

This equation represents the number of minutes after 4:00 p.m. the pilot will arrive at her destination. The variable x represents the time, in minutes, of her original flight, and y represents the number of minutes after 4:00 p.m. she will arrive at her destination. The expression "4x" represents the time the pilot will arrive at her destination if she had traveled at her original speed, and the "-16" represents the delay caused by air traffic.

To solve this equation, you would substitute the value of x into the equation and solve for y. For example, if the pilot's original flight time was 60 minutes, the equation would be:

y = 4(60) - 16

= 240 - 16

= 224

This means that the pilot will arrive 224 minutes after 4:00 p.m., or at 6:24 p.m.

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Answer:

Step-by-step explanation:

omg are you in school do you have to go on the board bc you dead meat

ANSWER

EXPLANATION

We want to graph the given exponential function:

To do this, we have to find 5 points that lie on the graph.

Let us solve the function for x = -6, -3, 0, 3, 6:

Now, we have five points to plot the graph with:

Let us now plot the points and join the line:

That is the graph of the function

1) The probability of these 5 measurements 5 months in a row given Joe's previous 10 years of measurements is very low, approximately 0.0012.

A) The probability of each measurement being less than or equal to 171 is approximately 0.1587.

C) The probability that it is due to Joe using monsters during the summer months is approximately 0.205.

We can use a hypothesis test to determine the probability of these 5 measurements 5 months in a row given Joe's previous 10 years of measurements.

We will use a two-tailed z-test with a significance level of 0.05 to test the null hypothesis that Joe's cholesterol levels have not significantly changed after adding 1 monster a day to his diet. The alternative hypothesis is that his cholesterol levels have significantly decreased.

The test statistic is calculated as follows:

z = (X - μ) / σ

where , x is the mean of Joe's last 5 cholesterol measurements, μ is the mean of his cholesterol levels over the past 10 years,  σ is the standard deviation of his cholesterol levels over the past 10 years (which is 8), and n is the number of measurements in the last 5 months (which is 5).

Substituting the values, we get:

z = {171 + 165 + 172 + 168 + 173} / {5} - 180 x {8/√10 × 12

z = -3.03

Using a standard normal distribution table, we find that the probability of getting a z-score of -3.03 or less is approximately 0.0012.

Since this is less than our chosen significance level of 0.05, we reject the null hypothesis and conclude that Joe's cholesterol levels have significantly decreased after adding 1 monster a day to his diet.

Therefore, the probability of these 5 measurements 5 months in a row given Joe's previous 10 years of measurements is very low, approximately 0.0012.

A) To calculate the probability of these 5 measurements 5 months in a row, we can assume that each measurement is a Bernoulli trial with a probability of success p of the cholesterol level being less than or equal to the normal level.

We can then use a binomial distribution to model the number of successful trials in 5 trials out of 10 x 12 = 120 trials.

Since Joe's normal cholesterol level is 180 with a standard deviation of 8, we can say that,

p = P(X < 171), where X is a normal random variable with mean 180 and standard deviation 8.

Using a standard normal distribution table or calculator, we can find that

P(X < 171) = 0.1587

Therefore, the probability of each measurement being less than or equal to 171 is approximately 0.1587. The probability of getting 5 measurements in a row less than or equal to 171 is then given by the binomial probability mass function:

P(X = 5) = {120 choose 5}(0.1587)⁵(1-0.1587)¹²⁰⁻⁵

= 0.00098

So the probability of getting 5 measurements in a row less than or equal to 171 is approximately 0.00098.

B) Given that a particular cholesterol measurement is less than 172, the probability that it is due to Joe using monsters during the summer months can be calculated using Bayes' theorem.

Let M be the event that Joe is using monsters during the summer months and C be the event that a particular cholesterol measurement is less than 172.

We want to find P(M | C), the probability that Joe is using monsters during the summer months given that the cholesterol measurement is less than 172.

Using Bayes' theorem, we have:

P(M | C) = {P(C | M)/P(M)} + P(C |- M)

P(- M)}

where P(C | M) is the probability of getting a cholesterol measurement less than 172 given that Joe is using monsters, P(- M) = 1-P(M) is the probability that Joe is not using monsters during the summer months, and P(C | - M) is the probability of getting a cholesterol measurement less than 172 given that Joe is not using monsters.

Using the information given in the problem, we have,

P(M) = 0.25,

P( M) = 0.75

P(C | M) = P(X < 171)

where , X is a normal random variable with mean 170 and standard deviation 5, and P(C | M) = P(X < 172),

where X is a normal random variable with mean 180 and standard deviation 8.

Using a standard normal distribution table or calculator, we can find that

P(X < 171) = 0.8413

P(X < 172) = 0.6306

Substituting these values into Bayes' theorem, we get:

P(M | C) = {(0.8413)/(0.25)} + (0.6306)/0.75)} = 0.205

Therefore, given that a particular cholesterol measurement is less than 172, the probability that it is due to Joe using monsters during the summer months is approximately 0.205.

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Answer:

A is false

Step-by-step explanation:

Answer:

0 is the answer on 16 x 64y

Answer:

1  x = 4      y= 2/3  = 1. 66667   see attached and join the lines to create shaded area.

Step-by-step explanation:

2x -3y = 3

16x (64y) = ?

we can multiply the 2x by 8 to find x = 16 and -3y = -24y and 3 = 24

as shown 2nd one.

16x + (64y) =  c

16x -24y = 24    =   64y - 24y = c

40y = c - 24

40y/24 = y

1.66667 = y

y = 1.6667 or  1  2/3

2x -3 (  1 2/3 ) = 3

2x - 5 = 3

2x = 8

x = 4

y = 1. 66657

Answer:

20

Step-by-step explanation:

Draw that out on a coordinate grid, you get a trapezoid with one base 6 units long, one base 4 units long and a height of 4. Using the formula for area of a trapezoid

h(b1 + b2)/2

The height, 4, b1 is a base, 6, b2 is the other base, 4, we get

4(4+6)/2

40/2= 20

Answer:

9 years

Step-by-step explanation:

37-21.25 =15.75ft

1.75ft per year

15.75  / 1.75  = 9 years

To reverse the order of integration in the integral i = z 8 0 z x/2 0 f(x, y) dy dx, we need to first draw the region of integration.

From the limits of integration, we see that the region is a right triangular pyramid with base in the xy-plane and height z.
To reverse the order of integration, we can integrate with respect to z first, and then with respect to x and y. Thus, the new integral becomes:
i = ∫0^8 ∫0^(2z) ∫0^x/2 f(x, y) dy dx dz
Note that we have reversed the limits of integration for x and z. This is because the limits of integration for x depend on the value of z. We have also kept the limit for y as it is since it is independent of z.
However, we have made no attempt to evaluate either integral, as requested in the question.

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The quotient of the synthetic division is x^3 + 3x^2 + 4

The bottom row of synthetic division given as:

1 3 0 4 0

The last digit represents the remainder, while the other represents the quotient.

So, we have:

Quotient = 1 3 0 4

Introduce the variables

Quotient = 1x^3 + 3x^2 + 0x + 4

Evaluate

Quotient = x^3 + 3x^2 + 4

Hence, the quotient of the synthetic division is x^3 + 3x^2 + 4

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Answer:

\(\frac{4}{5}\)

Step-by-step explanation:

sinA = \(\frac{opposite}{hypotenuse}\) = \(\frac{BC}{AC}\) = \(\frac{16}{20}\) = \(\frac{4}{5}\)

Answer:

24c+37

Step-by-step explanation:

Answer:

LIVE TESTS NOT ALLOWED TO BE ANSWERED

Step-by-step explanation:

STOP THIS IS REPORTABLE

the inequality model. 5x-6y <0 is attached below.

What is inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare two values. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign in between. Sometimes it can be about a "not equal to" relationship, where one thing is more than the other or less. In mathematics, an inequality is a relationship that results in a non-equal comparison between two numbers or other mathematical expressions.

2x + 3y > 7x-3y ​

5x-6y <0

So we have to plot this inequality.

Hence, the inequality model. 5x-6y <0 is attached below.

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Answer:

18 Answer

Step-by-step explanation:

.: PQ +RQ

= 7+11

= 18

Answer:

m= 340 × 0.68h

Step-by-step explanation:

Given that

You take 340 mg of the certain medication

And, the amount of medication would be reduced by 32% per hour

So we need to the find the function for M(h)

Here M denotes the milligrams

And, the h denotes the hours

So, the function would be

m = 340 × (1 - 0.32)h

m= 340 × 0.68h

The same would be considered and relevant

The slope-intercept form of the line equation 2x+ y = 10 is y = -2x + 10

There are three type of the equation of line:

- slope-intercept form.

The equation of line is: y = mx + b

Where:

m = slope

b = y-intercept

- point-slope form

The equation of line is: y - y₁ = m(x - x₁)

Where:

m = slope

(x₁,y₁)  = a point on the line

- standard form
Ax + By + C = 0

Where A, B, C are constant

The given equation is: 2x+ y = 10

we will convert it into  slope-intercept form  y = mx + b

Subtract both sides by 2x:

2x+ y -2x = 10 -2x

y = -2x + 10

Hence, the slope-intercept form is y = -2x + 10

There was a typo in your question, most probably your question was:

What is the slope-intercept form of the equation 2x+ y = 10?

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The position of the object at time t = 3 is approximately 6.59 units from the origin.

The velocity of an object is defined as the rate of change of its position with respect to time. Mathematically, we can express this as:

v(t) = dx/dt

where v(t) is the velocity of the object at time t, and dx/dt is the derivative of the position function x(t) with respect to time.

In this problem, we are given the velocity function v(t) as:

v(t) = (1+t²)¹/₃

To find the position function x(t), we need to integrate the velocity function with respect to time. We can do this as follows:

x(t) = ∫v(t)dt

x(t) = ∫(1+t²)^(1/3) dt

To evaluate this integral, we can use the substitution u = 1 + t², which gives du/dt = 2t. Substituting this into the integral, we get:

x(t) = (3/2) * ∫u¹/₃ * (1/2u) du

x(t) = (3/2) * ∫u⁻¹/₆ du

x(t) = (3/2) * (u⁵/₆ / (5/6)) + C

where C is the constant of integration.

To find the value of C, we need to use the initial condition x(0) = 2. Substituting t = 0 into the position function, we get:

x(0) = (3/2) * (u⁵/₆ / (5/6)) + C

x(0) = (3/2) * (1⁵/₆ / (5/6)) + C

x(0) = 2

Therefore, C = 2 - (3/2) * (1⁵/₆ / (5/6)) = 2 - (3/2) * (1 / (5/6)) = 2 - (9/5) = 1.2

Substituting C = 1.2 into the position function, we get:

x(t) = (3/2) * (u⁵/₆ / (5/6)) + 1.2

x(t) = (3/2) * ((1+t²)⁵/₆ / (5/6)) + 1.2

Finally, to find the position of the object at time t = 3, we simply substitute t = 3 into the position function:

x(3) = (3/2) * ((1+3²)⁵/₆/ (5/6)) + 1.2

x(3) ≈ 6.59

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Answer:

the answer is 24/5

.....

Answer

linear

nonproportional

Step-by-step explanation:

Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.

At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.

Answer:

linear

nonproportional

Answer:

The triangle is obtuse.

Step-by-step explanation:

If a² + b² < c² , the triangle is obtuse.

If a² + b² = c² , the triangle is right triangle.

If a² + b² > c² , the triangle is acute.

~~~~~~~~~~~~~~~~

3, 12, 13

3² + 12² < 13²

9 + 144 < 169

153 < 169 ⇒ the triangle is obtuse.