A bottel of orange juice contains 750 mg of vitamin C and has 6 servings. A bottek of cranbery juice contains 134 mg of vitamin C and has 1. 5 servings. Mrs khan wants to compare the amount of vitamin c in the juices. How many milligrams of vitamin c are in 1 serving of each type of juice complete the statment. One serving of________ juice has __________Mg More vitamin C per serving Than one serving of _________ Juice

Answer:

C?

Step-by-step explanation:

I think it is C but I am not sure.

Step-by-step explanation:

5x + 3y ≥ -3

5x ≥ -3

x ≥ -3/5

5x + 3y ≥ -3

3y ≥ -3

y ≥ -3/3

y ≥ -1

Solution

x ≥ -3/5 and y ≥ -1

The average time Americans spend watching TV per day is reported to be approximately 300 minutes, following a normal distribution with a standard deviation of 26 minutes.

To address this question, we can use the provided information to describe the distribution of minutes per day spent watching TV by Americans.

Given that the distribution follows a normal distribution, we can assume that the data is symmetrically distributed around the mean. The mean of the distribution is given as 300 minutes.

The standard deviation, which measures the spread of the data, is stated as 26 minutes. This indicates that most people fall within one standard deviation of the mean.

Using the properties of a normal distribution, we can make various probabilistic statements. For example, approximately 68% of Americans would spend between 274 minutes (mean - 1 standard deviation) and 326 minutes (mean + 1 standard deviation) watching TV per day.

By understanding the characteristics of the normal distribution and the provided parameters (mean and standard deviation), we can analyze and make predictions about the amount of time Americans spend watching TV on a daily basis.

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Answer:

The solution to the system will be in the point where the two lines intersect.

Step-by-step explanation:

The solution to the system will be in the point where the two lines intersect.

a) The right-tailed probability P(X>9.21) = pchisq(9.21,2,lower.tail = FALSE), so we have P(X > 9.21) = 0.01006665.

b). The right-tailed probability P(X>7.38) = pchisq(7.38,2,lower.tail = FALSE), so we have P(X > 7.38) = 0.02466696.

c). The chi-squared value that cuts off the upper 10% of the distribution is the 90th percentile, denoted by chi-squared subscript 2 with 2 degrees of freedom (or chi-squared (2) with 2 degrees of freedom). We have qchisq(0.9, 2) = 4.6051702.

Question 2: Consider the chi-square distribution with 17 degrees of freedom.

a). The right-tailed probability P(X > 33.41) = pchisq(33.41,17,lower.tail = FALSE), so we have P(X > 33.41) = 0.005.

b). The left-tailed probability P(X<27.59) = pchisq(27.59,17,lower.tail = TRUE), so we have P(X < 27.59) = 0.1.

c). The chi-squared value that cuts off the upper 10% of the distribution is the 90th percentile, denoted by chi-squared subscript 0.1 with 17 degrees of freedom (or chi-squared (0.1) with 17 degrees of freedom).We have qchisq(0.1, 17) = 8.682

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Answer:

the length of xy =6ft

I hope this help

Answer:

ur answer is -4

Step-by-step explanation:

2*-4=-8

hope it helps ya

Let's denote the time it takes Layla to knit a hat by "h" and the time it takes her to knit a pair of mittens by "m". We want to find the values of "h" and "m" that satisfy the given information.

From the first part of the problem, we know that:

5h + 2m = 68

From the second part of the problem, we know that:

3h + 5m = 94

We can use these two equations to solve for "h" and "m". One way to do this is to use the method of elimination, where we eliminate one of the variables by multiplying one of the equations by a constant so that the coefficients of one of the variables in both equations become equal but with opposite signs. Here's one way to do this:

Multiply the first equation by 5 to get:

25h + 10m = 340

Multiply the second equation by 2 to get:

6h + 10m = 188

Subtract the second equation from the first equation to eliminate "m":

19h = 152

Solve for "h":

h = 152/19 ≈ 8

Now that we know the time it takes Layla to knit a hat, we can substitute this value into either of the two equations to solve for "m". Let's use the first equation:

5h + 2m = 68

5(8) + 2m = 68

40 + 2m = 68

2m = 28

m = 14

Therefore, it takes Layla about 8 hours to knit a hat and 14 hours to knit a pair of mittens.

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Answer:

True

Step-by-step explanation:

To find the average of anything, you add their values together, and then divide that number by how many of them you added.

Here, you are trying to calculate monthly expenditure, so you add their values together (the sum of monthly expenditures) and then you divide it by how many months you used to add up to the sum (divided by the number of months).

Hope this helped ya! :)

Answer:

true? sorry I'm un sure

Step-by-step explanation:

if Gretchen must have exactly one chocolate donut in her selection, there are 330 ways to select 11 donuts from 4 varieties.

Note, If Gretchen must have exactly one chocolate donut in her selection, then there are 11 remaining donuts to choose from, and she can choose any combination of the remaining four varieties of donuts.

We can use the combination formula to calculate the number of ways to choose 11 donuts from 4 varieties

C(11,4) = 11! / (4! * (11-4)!) = 330

Thus, there are 330 ways to select 11 donuts from 4 varieties.

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Answer:

Step-by-step explanation:

two circles: 2(πr²)

1 rectangle:Lw

3.14(7)(7)

3.14(49)

2(153.86)=307.72

307.72(14)

4308.08

Answer: 120 shrimp in a 5 pound bag.

Step-by-step explanation: For every pound there is 24 shrimp, so  2 pounds is 48

24+24=48

48+24=72

72+24=86

The equation should be 24 x 5= 120

Answer: A quadrilateral that has 4 sides is known as a rectangle.

Answer:

Step-by-step explanation:

This is either a rectangle or a square.

(A square is a special type of rectangle, with 4 equal sides).

Answer:

D. \( \frac{{7}^{11} }{ {4}^{11} } \)

Step-by-step explanation:

\(( \frac{7}{4}) {}^{11} = \frac{7 {}^{11} }{4 {}^{11} }\)

Since we are multiplying an exponential number to a fraction the answer is going to be

\( \frac{7 {}^{11} }{4 {}^{11} } \)

Hope this helps ❤❤❤ ;)

Answer:

\(D. \frac{7^{11} }{4^{11} } \\\)

Step-by-step explanation:

Hello, I can help you with this

Let's remmber some propiertis of the fraction numbers and the potenciation

Let

\(a^{m} * a^{n}=a^{m+n}\\(a^{m})^{n}=a^{m*n}\\(\frac{a}{b})^{m}=\frac{a^{m} }{b^{m}}\)

Step 1

All you have to do is identify and use the formula

let

\((\frac{7}{4})^{11}\\ a=7\\b=4\\m=11\\so\\(\frac{7}{4})^{11}=\frac{7^{11} }{4^{11} } \\\)

so, the answer is D.

I hope it helps, have a nice day

Answer:

XZ = 22.5 inches

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

\(\frac{XZ}{PR}\) = \(\frac{XY}{PQ}\) ( substitute values )

\(\frac{XZ}{15}\) = \(\frac{9}{6}\) ( cross- multiply )

6 × XZ = 15 × 9 = 135 ( divide both sides by 6 )

XZ = 22.5 inches

For the initial value problem y' = 0; y(1) = 1, the solution is y = 1. Since the derivative of y with respect to x is zero, the function y remains constant, and the constant value is determined by the initial condition y(1) = 1.

For the initial value problem y' = 2xy - y; y(0) = 2(0) + 1 = 1, we can rewrite the equation as y' + y = 2xy. This is a first-order linear homogeneous differential equation. Using an integrating factor, we multiply the equation by e^x^2 to obtain (e^x^2)y' + e^x^2y = 2x(e^x^2)y. Recognizing that the left side is the derivative of (e^x^2)y, we can integrate both sides to get the solution y = Ce^x^2, where C is determined by the initial condition y(0) = 1. For the initial value problem y' = 2y; y(1) = -1, we can separate the variables and integrate to find ln|y| = 2x + C, where C is the constant of integration. Exponentiating both sides gives |y| = e^(2x+C), and since e^(2x+C) is always positive, we can remove the absolute value signs. Thus, the solution is y = Ce^(2x), where C is determined by the initial condition y(1) = -1.

For the initial value problem dy = y^2x - x; y(0) = 0, we can separate the variables and integrate to find ∫dy/y^2 = ∫(yx - 1)dx. This gives -1/y = (1/2)y^2x^2 - x + C, where C is the constant of integration. Rearranging the equation gives y = -1/(yx^2/2 - x + C), where the constant C is determined by the initial condition y(0) = 0. For the initial value problem y' = ety; y(0) = 0, we can separate the variables and integrate to find ∫e^(-ty)/y dy = ∫e^t dt. The integral on the left side does not have a closed-form solution, so the explicit solution cannot be expressed in elementary functions. However, numerical methods can be used to approximate the solution for specific values of t.

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Answer:

..........hope it helps.....

The truth values of the statement are

a) Q(Denver, Colorado) is true

b) Q(Detroit, Michigan) is false

c) Q(Massachusetts, Boston) is true

d) Q(New York, New York) is false

In this case, we are considering statements of the form "x is the capital of y," where x and y are specific places. These statements can have different truth values, depending on whether they are true or false. Let's explore the truth values of some specific examples.

a) Q(Denver, Colorado)

This statement asserts that Denver is the capital of Colorado. Is this true or false? Well, the capital of Colorado is actually Denver, so this statement is true. Therefore, the truth value of Q(Denver, Colorado) is true.

b) Q(Detroit, Michigan)

This statement asserts that Detroit is the capital of Michigan. Is this true or false? Actually, Lansing is the capital of Michigan, not Detroit. Therefore, this statement is false. The truth value of Q(Detroit, Michigan) is false.

c) Q(Massachusetts, Boston)

This statement asserts that Boston is the capital of Massachusetts. Is this true or false? Yes, Boston is indeed the capital of Massachusetts, so this statement is true. The truth value of Q(Massachusetts, Boston) is true.

d) Q(New York, New York)

This statement asserts that New York is the capital of New York. Is this true or false? Actually, Albany is the capital of New York, not New York City. Therefore, this statement is false. The truth value of Q(New York, New York) is false.

So, as we can see, the truth values of these statements depend on the specific relationships between x and y. When x is indeed the capital of y, the statement Q(x, y) is true, and when x is not the capital of y, the statement is false.

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To estimate the error in the approximation of (64.001)^(5/6) by 645/6, we can use the Mean Value Theorem for functions.

The Mean Value Theorem states that for a function f(x) that is continuous on the interval [a, b] and differentiable on the open interval (a, b), there exists a value c in the interval (a, b) such that:

f'(c) = (f(b) - f(a))/(b - a)

In our case, let's consider the function f(x) = x^(5/6) and the interval [64, 64.001]. We have a = 64 and b = 64.001.

The derivative of f(x) is:

f'(x) = (5/6)x^(1/6)

Now, we can apply the Mean Value Theorem to find an estimate for the error in the approximation:

f'(c) = (f(b) - f(a))/(b - a)

(5/6)c^(1/6) = ((64.001)^(5/6) - 64^(5/6))/(64.001 - 64)

To simplify, let's plug in the given approximation: (64.001)^(5/6) ≈ 645/6

(5/6)c^(1/6) = (645/6 - 64^(5/6))/(1/1000)

Simplifying further:

(5/6)c^(1/6) = (645/6 - (64^(5/6)))/(1/1000)

To find the estimate of the error, we need to solve for c. Let's solve this equation using Maple syntax:

solve((5/6)*c^(1/6) = (645/6 - (64^(5/6)))/(1/1000), c)

The magnitude of the error is less than the exact value obtained from the solution of the above equation in Maple syntax.

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Answer:

9) 130° (vertical to 130°)

10) 50° (supplementary to 130°, 180° - 130° = 50°)

11) 130° (alternate exterior to 130°)

12) 130° (vertical to 130°)

Step-by-step explanation:

Answer:

(3,3)

Step-by-step explanation:

you moved the point 2 units to the left. So the X value must go down 2.

(5-2,3)

Answer:

b and d

Step-by-step explanation:

= 0.0655.

This is stated in a different way and i would take this as 3 non defective before first defective on the 6th inspection. That would be 0.8^3*0.2 = 0.0655.

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Answer:

y=x+5/12

good luck...

The solution of the differential equation is  U=x+2y. (A)

To solve the differential equation (x + 2y)dx + ydy = 0 using substitution, you can use the substitution U = x + 2y.


1. Substitute U for x+2y: dU = (dx + 2dy)

2. Replace (x + 2y)dx + ydy with dU - 2ydy + ydy: dU - ydy = 0

3. Factor out dy: dU - ydy = dy(U - y) = 0

4. Separate variables: (1/dU) dU = dy/y

5. Integrate both sides: ∫(1/dU) dU = ∫(dy/y)

6. Obtain the solution: ln|U| = ln|y| + C

7. Replace U with x+2y: ln|x+2y| = ln|y| + C

8. Exponentiate both sides: x+2y = k*y, where k = e^C

Thus, the differential equation (x + 2y)dx + ydy = 0 can be solved using the substitution U = x + 2y.(A)

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The relative frequency are

i) Pilot error = 15.9 percent

ii)   Human Error =3.8 percent

iii)   Weather = 19.3 percent

iv)  Mechanical problem = 42 percent

v)  Sabotage = 19.2 percent

The formula for the relative frequency is = f/n

                             Where, f = the number of times the data occurred in an observation

                                           n = total number of observations.

If we have to convert it into percentage form we will multiply it by 100

Thus we have been given that

       Crashes due to pilot error = 260

       Crashes due to other human error = 62

       Crashes due to weather = 315

      Crashes due to mechanical problem = 682

       Crashes due to sabotage = 313

Total number of errors occurred = 260+62+315+682+313

                                                           = 1632

Hence, the relative frequency are

 i) Pilot error = 260/1632 * 100 = 15.9 percent

 ii) Human Error = 62/1632 * 100 =3.8 percent

iii)  Weather = 315/1632 * 100 = 19.3 percent

iv) Mechanical problem = 686/1632 * 100 = 42 percent

v) Sabotage = 313/1632 * 100 = 19.2 percent

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Answer:

4)      y+2 = 3(x+1)

5)      y+2 = -1(x-1)

6)      y+3 = 0(x-2)  OR y=3

Step-by-step explanation:

M is given and is the slope

X and Y change signs (positive becomes negative and vice versa)

The average of children per household is approximately 2.1387931034482758.

What is average ?

In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

To compute the average number of children per household, you would add up the total number of children in all the surveyed households and divide that number by the total number of households surveyed. You can use the following formula:

Average = (Sum of (children x frequency)) / (Total number of households surveyed)

Children Frequency Children x Frequency

0         2                 0

1         8                 8

2         10                 20

3         4                 12

4         3                 12

5         2                 10

Sum of (children x frequency) = 8 + 20 + 12 + 12 + 10 = 62

Total number of households surveyed = 2 + 8 + 10 + 4 + 3 + 2 = 29

Average = 62 / 29 = 2.1387931034482758

So the average number of children per household is approximately 2.1387931034482758

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Answer:

12/40

Step-by-step explanation:

match the denominators so have 6/30 be multiplies with 40/40 and 12/40 multiplied with 30/30

6/30(40/40) = 240/1200

12/40(30/30) = 360/1200

As we can see, 360/1200 is bigger than 240/1200, therefore 12/40 is bigger

Answer: \(\frac{12}{40}\)

Step-by-step explanation:

Hey there!

-If we were to simplify \(\frac{6}{30}\) we would be able to simplify it to \(\frac{1}{5}\).

-Multiply \(\frac{6}{30}\) by 100 and you get 20 .

-Now compare that with \(\frac{3}{10}\) which is \(\frac{12}{40}\) simplified.

-Multiply \(\frac{12}{40}\) by 100 and you get 30.

-We can now tell that \(\frac{12}{40}\) is greater than \(\frac{6}{30}\).

~I hope I helped :)~