Scientists are conducting an experiment with a gas in a sealed container. The mass of the gas is measured, and the scientists realize that the gas is leaking over time in a linear way. Nine minutes since the experiment started, the gas had a mass of 68.4 grams. Thirteen minutes since the experiment started, the gas had a mass of 61.2 grams. At what rate is the gas leaking? Use g for grams and min for minutes.

Answer:

The inequality would be (310-120)/10 less than or equal to x

19 hours minimum

Step-by-step explanation:

(310-120)/10

190/10

19

Answer:

I think the correct answer is 112.5

Step-by-step explanation:

To find points on a Cartesian plane, you need to know the x and y coordinates of the point. The Cartesian plane has two axes, the x-axis and the y-axis, which intersect at the origin (0, 0).

The x-coordinate of a point tells you how far the point is from the y-axis, either to the right (if the coordinate is positive) or to the left (if the coordinate is negative).

The y-coordinate of a point tells you how far the point is from the x-axis, either up (if the coordinate is positive) or down (if the coordinate is negative).

So, to find a point on the Cartesian plane, you need to know both its x and y coordinates. For example, the point (3, 4) is located 3 units to the right of the y-axis and 4 units up from the x-axis.

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Answer:

Negative

Step-by-step explanation:

Goes down from left to right

Answer: The friend would be 5ft tall! <3

Step-by-step explanation:

The equation of line that is tangent to the function f is y = 8x - 6 and

y = 8x + 10.

Let's start with the generic equation of a line:

y = ax + b

This line must be parallel to the line 8x - y + 5 = 0, and it must have the same slope.

The slope of the line 8x - y + 5 = 0 is 8, so our line has a = 8 :

y = 8x + b

Now we must determine the b values that make this line tangent to the function f(x) = 2x².

First, compute the derivative of f(x) in relation to x:

4x = df(x) / dx

For any value of x, this derivative is the slope of the tangent line to the function. We require a slope of 8, so:

4x = 8

x = 8/4

x = ±2

To calculate the y-values, we have:

f(1) = 2 x 1² = 2

f(-1) = 2 x (-1)² = 2

Using the points (1,2) and (-1,2) from our parallel line, we get:

2 = 8 x 1 + b is the first line using (1,2).

b = -6

(-1,2) is used in the second line: 2 = 8 x -1 + b

b = 10

The value of b represents the line's y-intercept, so the line with a smaller y-intercept is y = 8x -6, and the line with a larger y-intercept is y = 8x + 10.

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Answer:

(A) c) 0.1

(B) a) 0.9

(C) b) 0.5

(D) b) 0.1

(E)  b) 0.18

Step-by-step explanation:

Given;

P(science) = 0.3

P(Arts) = 0.6

P(no degree) = 0.2

(A) The probability a student gets a Bachelor of Arts and Science degree;

= 1 - [P(science) + P(Arts)]

= 1 - (0.6 + 0.3)

= 1 - 0.9

= 0.1

(B) The probability a student gets a Bachelor of Arts degree or a Bachelor of Science degree is

= P(Science) + P(Arts)

= 0.3 + 0.6

= 0.9

(C) The probability a student gets only a Bachelor of Arts degree is

= P(Arts ) - P(Science and Arts)

= 0.6 - 0.1

= 0.5

(D) The probability a student gets a Bachelor of Arts and Science degree is:

1 - [P(science) + P(Arts)]

= 1 - (0.6 + 0.3)

= 1 - 0.9

= 0.1

(E) Independent case

= P(Science) and P(Arts)

= 0.3 x 0.6

= 0.18

Answer:

El número decimal que presenta los estudiantes que viajaron al parque natural la Ensenada en utría es 0.5333.

Step-by-step explanation:

La soma de todos los estudantes és 100% = 1.

Andrés Bello estuvieron de excursión 1/3 viajaron a nuquí 2/15 viajaron al parque natural los katíos y el resto viajó al parque natural la Ensenada de utría.

Isto implica que:

\(\frac{1}{3} + \frac{2}{15} + x = 1\)

Aplicando el minimo múltiplo comum, tiene-se:

\(\frac{5 + 2 + 15x}{15} = 1\)

\(7 + 15x = 15\)

\(15x = 8\)

\(x = \frac{8}{15}\)

\(x = 0.5333\)

El número decimal que presenta los estudiantes que viajaron al parque natural la Ensenada en utría es 0.5333.

Answer:

equality

Step-by-step explanation:

equality

Answer:

Equality

Step-by-step explanation:

x = 45

  x / 3 = 15

45 / 3 = 15

     15 = 15

Answer:

94 cm

Step-by-step explanation:

The formula for finding the circumference of a circle is;

Circumference = 2πr

where π = \(\frac{22}{7}\) or 3.14 and

r = radius

Here radius is 15 cm so;

Circumference = \(2 * \frac{22}{7} * 15\)

                         = \(\frac{660}{7}\)cm

                         = 94.28cm

                         = 94 cm (  rounded to the nearest centimetre )

Using the slope intercept formula, the equation for the line in slope intercept form is y = -x - 4

The slope intercept equation can be describe as follows:

y = mx + b

where

Therefore,

(-4, 0)(1, -5)

m = -5 - 0 / 1 + 4 = -5 / 5 = -1

Therefore, let's find b using (1, -5)

-5 = -1(1) + b

-5  = -1 + b

b = -5 + 1

b = -4

Therefore, the equation is y = -x - 4

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FIFO - March cost of goods sold = $13,050. March 31 inventory = $7,350. LIFO - March cost of goods sold = $14,600. March 31 inventory = $5,800.

To calculate March cost of goods sold we need to add the given data for FIFO =

March cost of goods sold

= (2,800 + 3,700 + 6,550)

= 13,050

To calculate March cost of goods sold we need to add the given data for LIFO =

March cost of goods sold

= (3,400 + 4,400 + 6,800)

= 5,800

Sales data refers to the information collected and recorded about the transactions that occur when a business sells products or services to customers. This data typically includes details such as the date and time of the sale, the products or services sold, the quantity sold, the price paid, and the customer's information. Sales data is crucial for businesses as it helps them understand their sales performance, identify trends and patterns and make informed decisions about their pricing, marketing and inventory management strategies.

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Answer:  try downloading an app for math

Step-by-step explanation:

It helps me

The value of c in the domain of f(x) depends on the specific function f(x) and its domain.

In order to determine which value of c is in the domain of f(x), we need to know the function f(x) and its domain. A domain is the set of all possible input values of a function.

If a value of c is in the domain of f(x), then we can plug it into the function and get a valid output.

In general, a function f(x) can have a restricted domain due to certain conditions or limitations. For example, a square root function cannot have negative values under the radical because that would result in an imaginary number.

Thus, the domain of a square root function is restricted to non-negative values.

In order to find the domain of a function, we need to consider any restrictions on the input values. For example, if we have the function f(x) = 1/x, we cannot plug in x = 0 because that would result in division by zero, which is undefined.

Therefore, the domain of f(x) is all real numbers except 0. We can write this as D(f) = {x : x ≠ 0}.Once we know the domain of f(x), we can check which value of c is in the domain by seeing if it satisfies the condition.

For example, if the domain of f(x) is D(f) = {x : x > 2}, then c = 3 is in the domain because 3 is greater than 2. On the other hand, c = 1 is not in the domain because 1 is less than 2.

Therefore, the value of c in the domain of f(x) depends on the specific function f(x) and its domain.

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Answer:

1

Step-by-step explanation:

a fourth is 1/4 meaning Fourth = 1/4

Let's define the following variables:

x = number of adult tickets sold

$3 = price per adult ticket

y = number of student tickets sold

$2 = price per student ticket

If a total of 200 tickets were sold, then we can say that x + y = 200. This will be our equation 1.

If the total income is $475, then 3x + 2y = 475. This will be our equation 2.

So, we have a system of equations here.

Let's solve for the value of x using the substitution method.

1. Let's rewrite equation 1 into y = 200 - x.

2. Let's replace the "y" variable in equation 2 with "200 - x".

3. Let's solve for x.

Multiply 2 by the terms inside the parenthesis.

Combine similar terms like 3x and -2x.

Subtract 400 on both sides of the equation.

The value of x is 75.

Since x is the number of adult tickets sold, then there were 75 adult tickets sold for the high school concert.

Therefore, the equation of the line passing through the point (1,5) with a slope of 7 is y = 7x - 2.

The equation of a line in the point-slope form is given by the following equation:

y-y_1 = m(x-x_1)

where m is the slope of the line and (x1, y1) is any point on the line.

Therefore, we can write the equation of the line passing through the point (1,5) with a slope of 7 as follows:

y-5 = 7(x-1)

Expanding the right-hand side of the equation gives:

y-5 = 7x-7

Adding 5 to both sides of the equation gives:

y = 7x-2

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Answer:

Question 7:

Answer: f(2) = 4

Question 8: 3 + x

Answer:

hi amki nai patajjdkfkejd

Answer:

mean

Step-by-step explanation:

The mean will decrease, in an option of mean, mode, median and range:)

Answer:

Calculated value of F = 0.0535

The critical region is F >F ₀.₀₅ (6,21) = 2.575

Reject H0

Step-by-step explanation:

1. Null hypothesis

H0: µ Nitrogen = µ Phosphorus = µ Both = µ Neither

2. Alternative hypothesis

H1: Not all means are equal.

3. The degrees of freedom for the numerator of the F-ratio = k- 1= 7-1=6

4.The degrees of freedom for the denominator of the F-ratio = n-k= 28-7

= 21

5. The significance level is set at α-0.05

The critical region is F >F ₀.₀₅ (6,21) = 2.575

The test statistic to use is

F = sb²/ sw²

Which if H0 is true has an F distribution with v₁=k-1 and v₂= n-k degrees of freedom

Correction Factor = CF = Tj²/n = (410)²/28= 6003.57

Total SS ∑∑X²- C. F = 6108- 6003.57= 104.43

Between SS ∑T²j/r - C.F = 42036/ 7 - 6003.57 =  1.57286

Within SS = Total SS - Between SS= 104.43- 1.573= 102.86

The Analysis of Variance Table is

Source Of                 Sum of          Mean              Computed

Variation          d.f     Squares       Squares               F

Between

Samples          6         1.57286       0.2621               0.0535

Within

Samples         21       102.86           4.898

Calculated value of F = 0.0535

Pvalue = 2.575

Since it is smaller than 5 % reject H0.

The area of the shaded portion is solved to be

The area of the shaded portion is solved by finding the whole area  of the triangle and subtracting the area of the circle

Area of the whole shape

The shape is a triangle and the area of the triangle is

= 0.5 * base * height

where

base = 40 km

height = 27 km

plugging in the values

Area = 0.5 * 40 * 27

Area = 540 square km

Area of the circle

= π * radius^2

= 3.142 * 6^2

= 113.112 square km

Area of the shaded portion is

= 540 - 113.112

= 426.888

= 426.89 km²

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According to the question, therefore, the maximum number of grams of fat he should consume will be 76.3 grams.

Directly divide 687 by 9 as both are fat content. Therefore, by dividing them, we get to know about how grams of fat can be consumed.

✍️ By Benjemin

Answer:

The answer selected is correct

Step-by-step explanation:

When talking about balance, having -X (being X in the negative) , means owing X.

Dylan owes $19.25

Elise owes $42.75

Francesca owes $23

Jamaal owes $35.50

So naturally, Dylan owes the least.

You divide 11 by 16, as follow:

0.6875

16 l 110

-96

140

-128

120

-112

80

-80

0

As you can notice, the result of the division is 0.6875 (here you have used the rules for the division of a number over a greater number, which results in a decimal)

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Answer:

b) (391.52, 404.48)

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 39 - 1 = 38

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 38 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.95}{2} = 0.975\). So we have T = 2.0244

The margin of error is:

\(M = T\frac{s}{\sqrt{n}} = 2.0244\frac{20}{\sqrt{39}} = 6.48\)

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 398 - 6.48 = 391.52.

The upper end of the interval is the sample mean added to M. So it is 398 + 6.48 = 404.48.

The CI is (391.52, 404.58), and the correct answer is given by option B.

Answer:

  see attached

Step-by-step explanation:

You want the graph of the circle defined by the equation ...

  (x-2)^2 + (y-7)^2 = 4.

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

Comparing this to the given equation, we see ...

  h = 2, k = 7, r² = 4

Then r = √4 = 2.

The circle will have its center at (2, 7) and will have a radius of 2. It is shown in the attached graph.

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The p-value for this test is 0.0124. We can interpret this as strong evidence against the null hypothesis

In statistics, a null hypothesis is a statement that suggests there is no significant difference between two measured phenomena. It is usually represented by "H0" and is a starting point for a statistical analysis.

The probability of generating a test statistic as severe as -2.246 or more extreme, provided the null hypothesis is true, must be calculated in order to arrive at the p-value. Since this is a left-tailed test, the area in the left tail of the standard normal distribution represents the p-value.

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Answer:

5.196152423

Step-by-step explanation:

Answer for this problem: 6.33012701