If 28 g of cashew nuts contains 14 g of fats.
How many grams of fat are there in 42g of cashew nuts?

The eICU waiting time data consists of 40 patient wait times in minutes. The mean wait time is 43.3, there is no comparison given, mode is 42, and first and third quartiles are 41 and 45 respectively.

a. To compute the mean waiting time for the 40 patients, we need to add up all the waiting times and then divide by the total number of patients. The mean waiting time can be calculated as follows:

(40 + 45 + 42 + 49 + 49 + 43 + 55 + 42 + 44 + 40 + 46 + 45 + 46 + 41 + 40 + 42 + 43 + 40 + 45 + 37 + 49 + 38 + 41 + 48 + 42 + 41 + 42 + 49 + 61 + 39 + 44 + 51 + 45 + 42 + 43 + 41 + 40 + 43 + 37 + 43) / 40 = 44.5 minutes

So the mean waiting time for the 40 patients is 44.5 minutes.

b. To compare the mean waiting time, we would need a reference point, such as the average waiting time for similar patients in a different hospital, or the target waiting time set by the hospital or healthcare organization. Without this information, we cannot make a comparison.

c. To compute the mode, we need to find the value that occurs most frequently in the data set. The mode of the waiting times is 42 minutes, as it occurs the most (3 times).

d. To compute the first and third quartiles, we need to order the data set from smallest to largest and then find the values that correspond to the 25th and 75th percentiles. The first quartile (Q1) represents the 25th percentile and the third quartile (Q3) represents the 75th percentile. The formula for finding the quartiles is as follows:

Q1 = (n + 1) / 4 * (th) value

Q3 = (3n + 3) / 4 * (th) value

Where n is the number of values in the data set and th value represents the th ordered value.

So for the 40 waiting times, Q1 can be calculated as follows:

Q1 = (40 + 1) / 4 * (10th) value = 10.25th value = 41 minutes

And Q3 can be calculated as follows:

Q3 = (3 * 40 + 3) / 4 * (30th) value = 30.75th value = 46 minutes

So the first quartile (Q1) is 41 minutes and the third quartile (Q3) is 46 minutes.

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Complete question is in the image attached

He will have to mix 3 pounds of cashews and 7 pounds of peanuts .

What is equation ?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Let c be denoted as cashew and p be denoted as peanuts

c + p = 10  ⇒ (1)

5.6c + 2.3p = 3.29*10 ⇒ (2)

Multiply eq(1) by 560

Multiply eq(2) by 100

560c + 560p = 5600

560c + 230p = 3290

Subtract and solve for "p":

330p = 2310

p = 7  (amt. of peanuts needed)

substitute  the value of p in eq(1)

c + 7 = 10

c = 3  (amt. of cashews needed)

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Answer:

w=19

Step-by-step explanation:    

Answer:

First, get it into slope-intercept:

y = -3/5x + 4/5

The slope is -3/5

Step-by-step explanation:

Answer:

43%

Step-by-step explanation:

There are 39 girls. 21 of them like biology. 11 out of 34 who like chemistry are girls.

No. of girls who prefer biology = 21

There are (100-39) boys. 16 of them like physics. (34-11) of them like chemistry.

No. of boys who prefer biology = 100-39-16-34+11

                                                    = 22

Percentage of students who prefer biology = \(\frac{21+22}{100}\) × 100%

                                                                        = \(\frac{43}{100}\) × 100%

                                                                        = 43%

Answer:

20/28.

Step-by-step explanation:

We subtract the numerators to get 21-1 = 20. The denominators stay the same at 28. We have. 21/28 - 1/28 = (21-1)/28

Answer:

5/7

Step-by-step explanation:

3/4 - 1/28

= 21/28 - 1/28

= 20/28

= 5/7

The tangential and normal components of the acceleration vector are aT = 36t/(4t^2+1) and aN = -36t^2/(4t^2+1), respectively. These were obtained by finding the unit tangent and unit normal vectors and taking the dot product of the acceleration vector with each of them.

Given the position vector r(t) = 6(3t − t^3)i + 18t^2j, we can find the acceleration vector by taking the second derivative of r(t) with respect to time.

After differentiating twice and simplifying, we get a(t) = -36t^2i + 36tj. To find the tangential and normal components of the acceleration vector, we need to first find the unit tangent vector T(t) and unit normal vector N(t) at time t.

The unit tangent vector T(t) can be found by taking the derivative of the position vector r(t) with respect to time and dividing by its magnitude.

After simplifying, we get T(t) = (-2t)i + j. Dividing this by its magnitude, we get T(t) = (-2t/√(4t^2+1))i + (1/√(4t^2+1))j.

The unit normal vector N(t) can be found by taking the derivative of the unit tangent vector T(t) with respect to time and dividing by its magnitude. After simplifying, we get N(t) = (-1/√(4t^2+1))i + (-2t/√(4t^2+1))j.

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Answer:

There both D.

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

NO

Answer:

750-150=600     So the range is from $600-$750

Step-by-step explanation:

You just subtract the least amount of money it could be from the most amount of money it could be. There's your answer!

Answer:

D. 4

Step-by-step explanation:

Answer:

I agree

Step-by-step explanation:

big math's blah blah ba=lah

Answer:

math boring

Step-by-step explanation:

why because it is

Answer:

--------------------------

We know that corresponding sides of similar figures are proportional.

Thus we have equal ratios:

Solve it for x:

Let’s start with the easy part: half of the base is 3.

Therefore, 3 x h + 1 = 18

3 x h = 3h and 3 x 1 = 3

3h + 3 = 18

To solve these equations, you have to do the inverse. First you would need to minus 3:

3h = 15

3h is a simpler way of saying 3 x h, so the inverse would be a divide.

h = 5

Answer:

7r is the correct answer

Step-by-step explanation:

7 x 8 = 56

Answer:

\(\dfrac{1}{2}x-10=-13\)

Step-by-step explanation:

Let x be the unknown number.

Given:

Therefore, the equation is:

\(\boxed{\dfrac{1}{2}x-10=-13}\)

Solving for x

To solve, add 10 to both sides:

\(\implies \dfrac{1}{2}x-10+10=-13+10\)

\(\implies \dfrac{1}{2}x=-3\)

Multiply both sides by 2:

\(\implies 2 \cdot \dfrac{1}{2}x=2 \cdot -3\)

\(\implies x=-6\)

Equation :-

→ (1/2)x - 10 = -13

Solution :-

→ x = -6

Step-by-step explanation:

The equation will be,

→ (1/2)x - 10 = -13

Now the required value of x will be,

→ (1/2)x - 10 = -13

→ (1/2)x = -13 + 10

→ x = -3 × 2

→ [ x = -6 ]

Hence, the value of x is -6.

The cosine of angle J is given as follows:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the rules presented as follows:

For the angle J in this problem, we have that:

Hence the cosine of angle J is given as follows:

\(\cos{J} = \frac{4}{\sqrt{98}} \times \frac{\sqrt{98}}{\sqrt{98}}\)

\(\cos{J} = \frac{4\sqrt{98}}{98}\)

\(\cos{J} = \frac{2\sqrt{98}}{49}\)

As 98 = 2 x 49, we have that \(\sqrt{98} = \sqrt{49 \times 2} = 7\sqrt{2}\), hence:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

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The amount of more money Mackenzie has in her account than Avani, to the nearest dollar is $185.83.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P \((1 + \frac{R}{n} )^{nt}\)

We have,

Anani:

Principal = $730

Rate = 6(1/4)% = (25/4)% = 6.25%

n = 12 ( compounded monthly)

Time = 17 years

A = 730 x \((1 + 0.0052)^{204}\)

A = $2,106.51

Mackenzie:

Principal = $730

Rate = 6(3/4)% = 6.75%

n = 12

Time = 17 years

A = 730 x \((1 + 0.0056)^{204}\)

A = $2,292.34

The amount of more money Mackenzie has in her account than Avani, to the nearest dollar:

= 2,292.34 - 2,106.51

= $185.83

Thus,

The amount of more money Mackenzie has in her account than Avani, to the nearest dollar is $185.83.

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Answer

Step-by-step explanation:

The approximate root of f(x) = x^7 - x - 1 is x5 = 1.16529 after four iterations of Newton's method.

Define the function and its derivative.
f(x) = x^7 - x - 1
f'(x) = 7x^6 - 1

Apply Newton's method formula.
x_(n+1) = x_n - f(x_n) / f'(x_n)

Perform four iterations.
Iteration 1:
x2 = x1 - f(x1) / f'(x1)
x2 = 1.2 - (1.2^7 - 1.2 - 1) / (7 * 1.2^6 - 1)
x2 = 1.16772

Iteration 2:
x3 = x2 - f(x2) / f'(x2)
x3 = 1.16772 - (1.16772^7 - 1.16772 - 1) / (7 * 1.16772^6 - 1)
x3 = 1.16556

Iteration 3:
x4 = x3 - f(x3) / f'(x3)
x4 = 1.16556 - (1.16556^7 - 1.16556 - 1) / (7 * 1.16556^6 - 1)
x4 = 1.16530

Iteration 4:
x5 = x4 - f(x4) / f'(x4)
x5 = 1.16530 - (1.16530^7 - 1.16530 - 1) / (7 * 1.16530^6 - 1)
x5 = 1.16529

After four iterations of Newton's method, the approximate root of f(x) = x^7 - x - 1 is x5 = 1.16529 with five significant digits.

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a) The general form of an exponential decay model is of the form: P(t) = Pe^(kt) where P(t) is the population at time t, P is the initial population, k is the decay rate.

The initial population is given as 51.7 million, and the population 12 years later is 45.7 million. Therefore, 45.7 = 51.7e^(k(12)). Using the logarithmic rule of exponentials, we can write it as log(45.7/51.7) = k(12). Solving for k gives k = -0.032. Thus, the equation is P(t) = 51.7e^(-0.032t).

b) To estimate the population of the country in 2020, we need to determine how many years it is from 1995. Since 2020 - 1995 = 25, we can use t = 25 in the equation P(t) = 51.7e^(-0.032t) to get P(25) = 28.4 million. Therefore, the population of the country in 2020 is estimated to be 28.4 million.

c) To find how many years it takes for the population to be 2 million, we need to solve the equation 2 = 51.7e^(-0.032t) for t. Dividing both sides by 51.7 and taking the natural logarithm of both sides gives ln(2/51.7) = -0.032t. Solving for t gives t = 63.3 years. Therefore, according to this model, it will take 63.3 years for the population of the country to be 2 million.

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Answer:

wouldn't it be 3lb and 7oz

Answer:

$4.00+0.035+$4.00=8.035=$8.35

Step-by-step explanation:

Answer:

C) 94

Explanation:

It is the same angle as the one that is measured to be 94°

The diver will be 3 feet high 1 second after he leaves the board and the diver will hit the water after 1.12 seconds

The function is given as:

h(t) = -16t^2 + v*t + m

The variable v represents the velocity, while the variable t represents time

So, we have:

v * t = velocity * time

v * t = distance

Hence, v*t in the case of the diver represents distance

We have:

-16t^2

Where

a = -16 --- the acceleration

The variable t represents time

So, we have:

-16t^2 = -16 * time squares

-16t^2 = distance

Hence, -16t^2 in the case of the diver represents distance

To do this, we calculate h(1).

So, we have:

h(t) = -16t^2 + v*t + m

This gives

h(t) = -16t^2 + 9*t + 10

This gives

h(1) = -16 * 1^2 + 9*1 + 10

Evaluate

h(1) = 3

Hence, the diver will be 3 feet high 1 second after he leaves the board

Here, we set h to 0

-16t^2 + 9*t + 10 = 0

Using a graphing calculator, we have:

t = 1.12

Hence, the diver will hit the water after 1.12 seconds

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Answer:

56

Step-by-step explanation:

Plug in 8 for the r-value, 7(8) is the same thing as 7 * 8 which gives you the answer of 56.

Answer:

56

Step-by-step explanation:

Answer:

x=16.3

Step-by-step explanation:

sine: opposite side ÷ hypotenuse

sine(x)= 7 ÷ 25 = 0.28

sine^-1(0.28) = 16.3

x = 16.3

Answer:

16.3 rounded to the nearest tenth

Step-by-step explanation:

The formula for the sine rule is Sin A / a= Sin B / b = Sin C / c which is as, Sin V / v = Sin X / x = Sin S / s

Sin 90 / 25 = Sin X / 7, that is,

1 / 25 = Sin X / 7 (cross multiply)

Make Sin X the subject of the formula;

Sin X = 7 / 25

X = Sin^-1(7 / 25)

X = 16.26 = 16.3 rounded to the nearest tenth

The correct answer is  your friend needs to deposit approximately $13,334.45 annually from her 26th birthday to her 65th birthday to be able to make the desired withdrawals at retirement.

To determine the annual deposit your friend needs to make for her retirement fund, we'll calculate the present value of the desired withdrawals during retirement and then solve for the equal annual deposit.

Step 1: Calculate the present value of the withdrawals during retirement

Using the formula for the present value of an annuity, we'll calculate the present value of the $250,000 withdrawals per year for 20 years after retirement.

\(PV = CF * [1 - (1 + r)^(-n)] / r\)

Where:

PV = Present value

CF = Cash flow per period ($250,000)

r = Rate of return after retirement (5%)

n = Number of periods (20)

Plugging in the values, we get:

PV = $250,000 * \([1 - (1 + 0.05)^(-20)] / 0.05\)

PV ≈ $2,791,209.96

Step 2: Calculate the equal annual deposit before retirement

Using the formula for the future value of an ordinary annuity, we'll calculate the equal annual deposit your friend needs to make from her 26th birthday to her 65th birthday.

\(FV = P * [(1 + r)^n - 1] / r\)

Where:

FV = Future value (PV calculated in Step 1)

P = Payment (annual deposit)

r = Rate of return before retirement (8%)

n = Number of periods (40)

Plugging in the values, we get:

$2,791,209.96 = \(P * [(1 + 0.08)^40 - 1] / 0.08\)

Now, we solve for P:P ≈ $13,334.45

Therefore, your friend needs to deposit approximately $13,334.45 annually from her 26th birthday to her 65th birthday to be able to make the desired withdrawals at retirement.

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