a person buys 6 bags of chips for 18 dollars. How much is it per bag

The probability to wait more than 15 seconds to connect is 50% and the probability to wait at least 10 more seconds after waiting 10 seconds is 33.33%.

x = old modem establish connection = [0, 30]

Probability density function or PDF is

f(x) = \(\frac{1}{b-a}\); 0 ≤ x ≤ 30

Probability to wait more than 15 seconds to connect is

f(X>5) = \(\int\limits^{30}_{15} {f(x)} \, dx\)

= \(\int\limits^{30}_{15} {\frac{1}{b-a}} \, dx\)

= \(\frac{1}{30-0} \, [x]^{30}_{15}\)

= \(\frac{30-15}{30}\)

= 0.5 or 50%

Probability if already waited 10 seconds and having to wait at least 10 more seconds is equal to wait at least 20 seconds from start. So,

f(X>5) = \(\int\limits^{30}_{20} {f(x)} \, dx\)

= \(\int\limits^{30}_{20} {\frac{1}{b-a}} \, dx\)

= \(\frac{1}{30-0} \, [x]^{30}_{20}\)

= \(\frac{30-20}{30}\)

= 0.3333 or 33.33%

Thus, the 50% probability to wait more than 15 seconds to connect and 33.33% probability to wait at least 20 seconds to connect.

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Answer:

\(m=1\)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, -1)

Point (1, 0)

Step 2: Find slope m

Answer:

30

Step-by-step explanation:

formula :15÷100×200

25

Hi there !

6×7 - 3²×9 + 4³ =

  1. raise the numbers to power

= 6×7 - 9×9 + 64

  2. we perform the multiplications

= 42 - 81 + 64

  3.  we perform addition and subtraction

= (42 + 64) - 81

= 106 - 81

= 25

Good luck !

Answer:

-17

Step-by-step explanation:

-3^2×9+4^3

-3^2×3^2+64

-3^4+64

-81+64

-17

The area of the regular polygon is  4323. 2 in²

From the diagram shown, we can see that the polygon is a heptagon, that is, a polygon with 7 sides

Also, the formula that is used for calculating the area of a heptagon is expressed as;

A =  Area=(1/2)nsr

Such that;

Substitute the values

Area, A = 1/2 × 7 ×  32 × 38.6

Multiply the values

Area = 8646.4/2

divide the values

Area = 4323. 2 in²

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The total money earned for taking care of the pets by Tamera is 7h + 30.

Equation is an expression used to show the relationship between one or more numbers and variables.

Let y represent the total money earned for x hours. Hence:

y = 7h + 15 * 2

y = 7h + 30

The total money earned for taking care of the pets by Tamera is 7h + 30.

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Answer:

8

Step-by-step explanation:

\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)

Answer:

She can make 5 trips.

Step-by-step explanation:

The area of the figure which consists of two congruent triangles and a rectangle is calculated as: 52 cm².

In the diagram given above, we see a composite figure consisting of two triangles that are congruent, and a rectangle, therefore:

Area of the figure = area of the two triangles + area of rectangle.

The Area of the two triangles:

base = 8 cm²

height = 4.5 cm²

Area of the two triangles = 2(1/2 * base * height) = base * height

Area = 8 * 4.5 = 36 cm²

Area of rectangle = length * width = 4 * 4

= 16 cm²

Total area = 36 + 16 = 52 cm²

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Answer:

Step-by-step explanation:

The perimeter of a quarter circle can be calculated by adding the length of the arc and the two radii that make up the quarter circle.

The length of the arc of a quarter circle is given by (πr)/2, where r is the radius of the quarter circle and π is approximately 3.142 (as given in the question).

So, for a quarter circle with a radius of 7 cm, the length of the arc would be:

(πr)/2 = (3.142 x 7)/2 = 10.997 cm (rounded to 3 decimal places)

The two radii that make up the quarter circle are each equal to the radius of the quarter circle, so the total length of the two radii would be:

2r = 2 x 7 = 14 cm

Therefore, the perimeter of the quarter circle would be:

10.997 cm + 14 cm = 24.997 cm (rounded to 3 decimal places)

So the perimeter of the quarter circle is approximately 24.997 cm. The digits given by the calculator will depend on the specific calculator used.

The cylindrical shell is subjected to an internal pressure of 70MPa. The shell's inner radius is 10 cm, and the outer radius is 16 cm. The maximum and minimum hoop stresses in the cylindrical shell are determined below.

For an element of thickness dr at a distance r from the center, the hoop stress is given by equation i:

σθ = pdθ...[i]Where, p is the internal pressure.

The thickness of the shell is drThe circumference of the shell is 2πr.

Therefore, the force acting on the element is given by:F = σθ(2πrdr)....[ii]

Let σmax be the maximum stress in the shell. The stress at radius r = a, which is at the maximum stress, is given by:σmax = pa/b....[iii]

Here a = radius of the shell, and b = thickness of the shell.

According to equation [i], the hoop stress at radius r = a is given by:σmax = pa/b....[iii].

Substitute the given values:σmax = 70 × 10^6 × (16 - 10)/(2 × 10) = 56 × 10^6 Pa.

The minimum hoop stress in the shell occurs at the inner surface of the shell. Let σmin be the minimum stress in the shell.σmin = pi/b....[iv].

According to equation [i], the hoop stress at radius r = b is given by:σmin = pi/b....[iv]Substitute the given values:

σmin = 70 × 10^6 × 10/(2 × 10) = 35 × 10^6 Pa.

Therefore, the maximum hoop stress in the shell is 56 × 10^6 Pa and the minimum hoop stress is 35 × 10^6 Pa.

A thick cylindrical shell with an inner radius of 10 cm and an outer radius of 16 cm is subjected to an internal pressure of 70MPa. Maximum and minimum hoop stresses in the cylindrical shell can be determined using equations and the given data. σθ = pdθ is the formula for hoop stress in the cylindrical shell.

This formula calculates the hoop stress for an element of thickness dr at a distance r from the center.

For the cylindrical shell in question, the force acting on the element is F = σθ(2πrdr).

Let σmax be the maximum stress in the shell. According to equation [iii], the stress at the radius r = a, which is the maximum stress, is σmax = pa/b.σmax is calculated by substituting the given values.

The maximum hoop stress in the shell is 56 × 10^6 Pa according to this equation.

Similarly, σmin = pi/b is the formula for minimum hoop stress in the shell, which occurs at the inner surface of the shell.

The minimum hoop stress is obtained by substituting the given values into equation [iv].

The minimum hoop stress in the shell is 35 × 10^6 Pa.As a result, the maximum and minimum hoop stresses in the cylindrical shell are 56 × 10^6 Pa and 35 × 10^6 Pa, respectively.

Thus, the maximum hoop stress in the shell is 56 × 10^6 Pa and the minimum hoop stress is 35 × 10^6 Pa. These results are obtained using equations and given data.

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Answer:

1.) P = 8g + 50

2.) Find the attached file for the graph.

Step-by-step explanation:

Let the profit = P

And g = good sold.

Given that each yo-yo sells for $8.00

The rate or the slope of the equation will be 8

Also, it is given that they must pay a clerk $50.00 a day to sell them. A flat rate of 50 dollars is an intercept of the equation.

Using the general linear equation of

Y = mX + C

The equation for the profit the store will make in a day will be.

P = 8g + 50

Please find the attached file for the graph

Answer:

Net A.

Step-by-step explanation:

If you were to make a rectangular prism out of paper with one sheet, you might cut it like net A then fold it.

Answer :it would be E :if you want you can draw it out on a price of paper and cut it and fold it

Step-by-step explanation::if you want you can draw it out on a price of paper and cut it and fold it

Answer:

$533.33333

Step-by-step explanation:

total cost=$15000

scholarships and grants=$7000

Parent's contribution= 20%of ($15000-$7000)

=20%×$8000=$1600

Rocky's part=$8000-$1600=$6400

Has 1 year to save for his part.=12 months.

6400÷12=$533.33333.

Answer:

B or 415

Step-by-step explanation:

the volume of a cone is given by the formula V = (pi × r^2 × h/3)

where,

V = volume of the cone,

r = the radius of the cone,

h = the height of the cone.

so by just plugging in the values we get the answer which is 415

if you need any further guidance make sure to ask. :)

The Volume of Cone is 414.48 cm³.

Every three-dimensional item requires some amount of space. The volume of this space is measured. Volume is defined as the space occupied by an object inside the confines of three-dimensional space. It is also known as the object's capacity.

We have,

radius = 6 cm

height = 11 cm

Now, slant height

= √r² + h²

= √11² + 6²

= √121+ 36

= √157

= 12.52 cm

Now, Volume of cone

= 1/3 πr²h

= 1/3 (3.14)(6)²(11)

= 1/3 (3.14)(36)(11)

= 414.48 cm³

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The largest possible volume of the inscribed right circular cylinder is 810π \(cm^3\).

To find the largest possible volume of a right circular cylinder inscribed in a cone with height 10 cm and base radius 9 cm, follow these steps:

1. Set up the problem: Let h be the height of the cylinder and r be the radius of its base. The cylinder is inscribed in the cone, so their heights and radii are proportional. Therefore, we have the relationship:

  h/10 = r/9

2. Solve for h: Multiply both sides of the equation by 10 to isolate h:

  h = 10r/9

3. Write the volume formula for a cylinder: V = π\(r^2\)h

4. Substitute h from step 2 into the volume formula:

  V = π\(r^2\)(10r/9)

5. Differentiate the volume formula with respect to r to find the critical points:

  dV/dr = d(10π\(r^3\)/9)/dr = 10πr^2

6. Set the derivative equal to zero and solve for r:

  10π\(r^2\) = 0
  r = 0 (This is not a valid solution since the radius must be greater than zero)

7. Since there's no valid critical point, the maximum volume occurs at the endpoints of the interval. In this case, the radius can be between 0 and 9, so we'll test r = 9:

  h = 10(9)/9 = 10

8. Calculate the volume with r = 9 and h = 10:

  V = π(\(9^2\))(10) = 810π \(cm^3\)

The largest possible volume of the inscribed right circular cylinder is 810π\(cm^3\).

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The partial fraction decomposition of the function f(x) = x^4 - x^5 + 5x^3 can be written in the form:
f(x) = A/(x-a) + B/(x-b) + C/(x-c) + D/(x-d) + E/(x-e),
where A, B, C, D, and E are coefficients to be determined, and a, b, c, d, and e are the roots of the polynomial.

To find the partial fraction decomposition, we need to factorize the denominator of the function into linear factors. In this case, the denominator is x^4 - x^5 + 5x^3.

Step 1: Factorize the denominator
x^4 - x^5 + 5x^3 can be factored as x^3(x-1)(x^2 + 5).

Step 2: Set up the decomposition
Now that we have the factors of the denominator, we can set up the partial fraction decomposition:
f(x) = A/(x-a) + B/(x-b) + C/(x-c) + D/(x-d) + E/(x-e).

Step 3: Determine the coefficients
To determine the coefficients A, B, C, D, and E, we need to find the values of a, b, c, d, and e. These values are the roots of the polynomial x^4 - x^5 + 5x^3.
The roots can be found by setting each factor equal to zero and solving for x:
x^3 = 0 → x = 0 (a root of multiplicity 3)
x - 1 = 0 → x = 1 (a root of multiplicity 1)
x^2 + 5 = 0 → x = ±√(-5) (complex roots)

Step 4: Substitute the roots into the decomposition

Substituting the roots into the partial fraction decomposition, we get:

f(x) = A/x + A/x^2 + A/x^3 + B/(x-1) + C/(x+√(-5)) + D/(x-√(-5)) + E.

Note: The coefficients A, B, C, D, and E are determined by solving a system of linear equations formed by equating the original function f(x) with the decomposition and evaluating at the different roots.

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Using Cash flow Financing activities,

Net cash provided by financing activities for the year is $299,000.

Cash flow Financing:

Cash Flows from Financing Activities (CFF) is a section of a company's cash flow statement that shows the net cash flows used to finance the company. Funding activities include transactions involving debt, equity and dividends.

Formula for CFF,

CFF = CED − (CD + RP)

where:

CED --> Cash in flows from issuing equity

CD --> Cash paid as dividends

RP --->Repurchase of debt and equity

we have given that

2018, Gala Company,

Repurchased its own stock at a cost (RP)

= $ 57,000

Current year, the company purchased land (CD) =$119,000

Issued bonds payable (CED) =$475,000

pluging all known values in above formula we get,

CFF = $475,000 - ($ 57,000 + $119,000)

=> CFF = $475,000 - $176,000

=> CFF = $299,000

Hence, net cash provided by financing activities for the year is $299,000.

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Answer:

this is the answer of about the image is even

-4.5,1.5),(0,-2),(-1.2,0)

Step-by-step explanation:

so for this one u do

\(15 \times 9 + 9 \times 4 + 15 \times 4\)

231 the times it by 2 for the both sides

231×2=462 cm2

hope this make sense :)

With 98% confidence, we estimate that the population standard deviation of the number of chocolate chips in all cookies lies within the range of 0.2 to 0.4

To construct a confidence interval estimate of the standard deviation of the number of chocolate chips in all cookies, we can use the chi-square distribution. Since the sample is large and the number of chocolate chips is assumed to be normally distributed, we can apply the chi-square distribution to estimate the population variance and standard deviation.

Given:

Sample size (n) = 50

\(Sample mean (x) = 22.43\)

Sample standard deviation (s) = 2.14

To find the confidence interval for the population variance, we can use the chi-square distribution with (n - 1) degrees of freedom. For a 98% confidence level, the critical values for the chi-square distribution are 25.9875 (lower tail) and 75.913 (upper tail). Using these critical values, the confidence interval for the population variance is approximately (s² / upper bound, \(s^2\) / lower bound) or \((2.14^2 / 75.913, 2.14^2 / 25.9875)\) which simplifies to (0.060, 0.152).

To find the confidence interval for the standard deviation, we take the square root of the values in the confidence interval for the variance. Therefore, the confidence interval for the standard deviation is approximately (√0.060, √0.152) or (0.245, 0.390) rounded to the tenths place.

Therefore, with 98% confidence, we estimate that the population standard deviation of the number of chocolate chips in all cookies lies within the range of 0.2 to 0.4.  

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Answer:

below

Step-by-step explanation:

1. 1 over 8

2. 4 over 1

Answer:

1.3225

Step-by-step explanation:

1.15 times 1.15 = 1.3225

brainliest please

i calculated it

Answer:

12/c= 3/2

c = 3/2×12

c = 18

Hope it helps!

Answer:

c = 8

Step-by-step explanation:

Here we are solving for c in the equation 12/c=3/2

We can use our basic multiplication rules to figure this one out.

12 / 3 is 4, meaning four multiples of 3 go into 12. This means, four multiples of 2 go into c.

4 * 2 = 8, giving us our value for C.

To verify this, we can simplify 12/8 and would still end up with 3/2.

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To check whether the true average is 59k or not, A sample mean T-Test needs to be conducted.

What is an Average?

In the field of statistics, average means that the ratio of the sum of the numbers of a given set, to the total number of characters in a given set. It is also called as the Arithmetic mean.

It is given that the student center has published the data that the average salary of the college graduates is 59k. Accordingly, the sample of 49 college students were verified and the sample average salary came out to be 44k.

When we analyze the  given question, we find that,

The total number of students were 49,

The true average was found to be 59k,

and the Sample average is found to be 44k.

Thus, in  the present question we will use the One- sample T-test.

We used this test, as the statistical hypothesis test is used to find if the unrecognized population mean is different from the specific value.

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Answer:

C. $220

Step-by-step explanation:

11 x 20 = 220

Answer:

2(2(3) + 2(5) + 3(5)) = 2(6 + 10 + 15) = 2(31)

= 62

D is the correct answer.

Answer:

90m+5

Step-by-step explanation:

117-78m+14(12m-8)

117-78m+168m-112

90m+5

Answer:

90m+5

Step-by-step explanation:

117-78m+14(12m-8)

117-78m+168m-112

90m+5