Find 3/7 • 9/10 as a fraction

Answer: Should be standard form.

Step-by-step explanation: Just cause the others don't really make sense and the equation looks basic.

Answer:

3.167

Step-by-step explanation:

Mean = Sum of the number of boxes/ sum of the number of months

Mean number of boxes sold last year = (435+428+437+398+447+426)/6= 428.5

Mean number of boxes sold this year=

(440+416+445+423+420+446)/6 = 431.667

Difference = 431.667-428.5

≈ 3.167

According to the given figure Mrs Martinez data has greater variability than Mrs Jone's data.

The average may be calculated by dividing the total number of values by the sum of all the numbers. The arithmetic average of a group of two or more data variables is referred to as a mean. Typically, average is referred to as mean or arithmetic mean. The word "mean" is only a way of defining the sample's average.

By adding up each value individually and dividing the result by the total number of observations, the average is obtained. The "middle" value, for which half of such observations are greater and half are less, is used to compute the median.

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Answer:60.3cm^3

Step-by-step explanation:

i got it wrong and that was the answer lol

Answer:

What's your question?

Step-by-step explanation:

Answer:

Where is the question?

The volume obtained by rotating region R about the line y = -2 and x = 3 is 0, indicating no difference in volume between the two rotations.

To find the volume of the object obtained by rotating region R about the line y = -2, we can use the method of cylindrical shells.

Rotating about the line y = -2:

The height of each shell is given by the difference between the two functions: f(x) = 3x and g(x) = -2x^2 + 6x + 2. The radius of each shell is the x-coordinate of the point at which the functions intersect.

To find the points of intersection, we set the two functions equal to each other and solve for x:

3x = -2x^2 + 6x + 2

Simplifying and rearranging:

2x^2 - 3x + 2 = 0

Using the quadratic formula, we find two solutions for x:

x = (-(-3) ± √((-3)^2 - 4(2)(2))) / (2(2))

x = (3 ± √(9 - 16)) / 4

x = (3 ± √(-7)) / 4

Since the equation has complex roots, it means there is no intersection point between the two functions within the given range.

Therefore, the volume obtained by rotating region R about the line y = -2 is 0.

Rotating about the line x = 3:

In this case, we need to find the integral of the difference of the two functions squared, from the y-coordinate where the two functions intersect to the highest y-coordinate of the region.

To find the points of intersection, we set the two functions equal to each other and solve for x:

3x = -2x^2 + 6x + 2

Simplifying and rearranging:

2x^2 - 3x + 2 = 0

Using the quadratic formula, we find two solutions for x:

x = (-(-3) ± √((-3)^2 - 4(2)(2))) / (2(2))

x = (3 ± √(9 - 16)) / 4

x = (3 ± √(-7)) / 4

Since the equation has complex roots, it means there is no intersection point between the two functions within the given range.

Therefore, the volume obtained by rotating region R about the line x = 3 is also 0.

In both cases, the volume obtained is 0, so there is no difference in volume between rotating about the line y = -2 and rotating about the line x = 3.

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Answer:

15= number of years

Step-by-step explanation:

Giving the following information:

Current value= $300

Growth per year= $40

Triple value= $900

To calculate the number of years it will take to transform $300 into $900, we need to use the following formula:

Future value= current value + (growth rate per year*number of years)

900 = 300 + (40*number of years)

600= 40number of years

600/40= number of years

15= number of years

Answer:

If the shopkeeper sold the radio for 336 rs and gained a 5% profit, then the cost price (c.p.) of the radio can be calculated as follows:

Let x be the cost price of the radio. Since the shopkeeper gained a 5% profit, we can write the equation: x + 0.05x = 336 Solving for x, we get: x(1 + 0.05) = 336 x = 336/1.05 x = 320

So, the cost price (c.p.) of the radio is 320 rs.

Step-by-step explanation:

a. The estimate of the population mean is  1.87.

b. The estimated variance for the estimator from part a is 0.737.

c. The 95% confidence interval for the population mean is (0.80, 2.94).

a. To find the estimate of the population mean, we need to calculate the weighted mean of the stratum means:

\($\bar{y}{st} = \frac{\sum\limits{h=1}^{H}n_h\bar{y}h}{\sum\limits{h=1}^{H}n_h}$\)

where $\bar{y}_h$ is the sample mean for stratum $h$, $n_h$ is the sample size for stratum $h$, and $H$ is the number of strata.

From the given information, we can calculate:

y = 0.6

y2 = 1.6

y3 = 2.8

n1 = 4

n2 = 20

n3 = 9

Using the formula above, we get:

\($\bar{y}_{st} = \frac{(4)(0.6) + (20)(1.6) + (9)(2.8)}{4 + 20 + 9} \approx 1.87$\)

Therefore, the estimate of the population mean is 1.87.

b. To find the estimated variance for the estimator from part a, we can use the following formula:

\($\widehat{Var}(\bar{y}{st}) = \frac{\sum\limits{h=1}^{H}(n_h - 1)\widehat{Var}(\bar{y}h)}{(\sum\limits{h=1}^{H}n_h) - H}$\)

where\($\widehat{Var}(\bar{y}_h)$\) is the estimated variance of the sample mean for stratum h.

Using the formula for estimated variance of the sample mean for each stratum, we get:

\(\widehat{Var}(\bar{y}_1) = \frac{0.22^2}{4} \approx 0.0121$\\$\widehat{Var}(\bar{y}_2) = \frac{1.6^2}{20} \approx 0.128$\\$\widehat{Var}(\bar{y}_3) = \frac{4.0^2}{3} \approx 5.333$\)

Substituting these values into the formula for the estimated variance of the stratified sample mean, we get:

\($\widehat{Var}(\bar{y}_{st}) = \frac{(3)(0.0121) + (19)(0.128) + (8)(5.333)}{33 - 3} \approx 0.737$\)

Therefore, the estimated variance of the estimator from part a is 0.737.

To find the 95% confidence interval for the population mean, we can use the following formula:

\($\bar{y}{st} \pm t{\alpha/2,df} \sqrt{\widehat{Var}(\bar{y}_{st})}$\)

where\($t_{\alpha/2,df}$\) is the t-score for the desired level of confidence and degrees of freedom\($df = (\sum\limits_{h=1}^{H}n_h) - H$.\)

c. For a 95% confidence interval with df = 33 - 3 = 30, the t-score is approximately 2.042. Substituting the values we calculated above, we get:

\($1.87 \pm 2.042 \sqrt{0.737} \approx (0.80, 2.94)$\)

Therefore, the 95% confidence interval for the population mean is (0.80, 2.94).

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Answer:

A = 42 - 80 B = 40 - 112

Step-by-step explanation:

I can answer Both A & B for you however C & D aren't very clear.

A:

Perimeter = 42cm

Area = 80cm Cubed

B:

Perimeter = 40cm

Area = 112cm Cubed

Calculations

In Question A, you are given all the measurements for the perimeter except, which is the line at the bottom. If we take what we already have been given.

10 + 8 + 4 + 4 + 3

We have 3 sides currently without a measurement, The Right side of the shape is 8, therefore the left must be the same, so that measurement is 8.

The small line creating the indent inside the shape must be 2, as we know the line at the top = 10cm. The line opposite it is must be 3 as the one opposite is 3cm.

Factoring those into our calculation:

10 + 8 + 8 + 4 + 4 + 3 + 3 + 2 = 42cm (Perimeter)

To find the Area you multiply the Height of the shape by the width.

Height = 8

Width = 10

8 x 10 = \(80cm^{2}\) (Area)

In Question B, you are given all the measurements for the perimeter, so you would simply add them up again.

14 + 10 + 8 + 2 + 6 = 40cm (Perimeter)

To Calculate the Area as previously said you would multiply the width by height.

Height = 8cm

Width = 14

14 x 8 = \(112cm^{2}\) (Area)

Hope this helps :)

Answer:

1: No Solutions

2:Infinite solutions

3: One Solution

Step-by-step explanation:

Desmos screenshots show solutions for simplified equations

Answer:

Terry sold 31 tacos last Tuesday

Step-by-step explanation:

So 23 more than 5 times the number of tacos, can be kinda difficult.

First, subtract 23 from 178 (155)

Second divide your answer by 5 (155 / 5)

The answer that you get is your final answer

178 - 23

155 / 5

31

Therefore Terry sold 31 tacos last Tuesday

Answer:

immm go with A

Step-by-step explanation:

if im wrong plz tell me

In the given scenario, the cost function for producing chocolate bars is represented by C(q) = 1500 + 0.129q + 0.00592q^2, where q represents the quantity (number of chocolate bars) produced.

(a) The average cost function is found by dividing the total cost by the quantity produced. In this case, the average cost function is C(q)/q.

(b) The marginal cost function represents the change in cost when one additional unit is produced. It is obtained by taking the derivative of the cost function with respect to quantity, which in this case is C'(q) = 0.129 + 0.01184q.

(c) To compute the average cost and marginal cost when 700 chocolate bars have been produced, we substitute q = 700 into the respective functions.

(d) To find the actual cost of the 701st chocolate bar, we substitute q = 701 into the cost function C(q).

I will explain the steps to obtain the answers.

(a) The average cost function is given by C(q)/q. Substituting the cost function C(q) = 1500 + 0.129q + 0.00592q^2, we have (1500 + 0.129q + 0.00592q^2)/q.

(b) The marginal cost function is the derivative of the cost function with respect to quantity. Taking the derivative of C(q) = 1500 + 0.129q + 0.00592q^2 with respect to q, we get C'(q) = 0.129 + 0.01184q.

(c) To compute the average cost when 700 chocolate bars have been produced, we substitute q = 700 into the average cost function C(q)/q. Similarly, to find the marginal cost at 700 chocolate bars, we substitute q = 700 into the marginal cost function C'(q).

(d) To determine the actual cost of the 701st chocolate bar, we substitute q = 701 into the cost function C(q) = 1500 + 0.129q + 0.00592q^2 and calculate the value.

By following these steps, you will obtain the average cost, marginal cost, and the actual cost of the 701st chocolate bar.

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Solution:The formula for the interest rate that will allow principal P to grow into amount A in two years, if the interest is compounded annually isr= A P-1We are given that we have $500 to deposit into an account and our goal is to have $595 in that account at the end of the second year.Hence, initial amount P = $500, A = $595 and t = 2 yearsPutting these values in the formula, we have:r= A P-1r= 595 500-1r= 1.19-1r= 0.19 or 19%Therefore, the interest rate required is 19%.Answer: B. 19%.

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Answer:

2/3 is your answer

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

You'll want both expressions to have the same denominator.

Let's make 2/5 into something divided by 15. Since 3*5 will give us 15, we'll multiply both 2 and 5 with 3.

\(\frac{2}{5} =\frac{2*3}{5*3} =\frac{6}{15}\)

Now we can easily add the 2 expressions.

\(\frac{6}{15} + \frac{4}{15} =\frac{10}{15}\)

Now, let's divide both 10 and 15 with 5 to simplify the expression.

\(\frac{10}{15} =\frac{10/5}{15/5} = \frac{2}{3}\)

Answer: 2/3

We can conclude after answering the provided question that In order to slope make at least $225.00 in sales, we must solve for m:

\(s = 75m + 1500 225 = 75m + 1500\s75m = -1275\sm = -17\)

Slope is the downward movement of a near - constant basis in mathematics. It is a test of how much the y-value of an activity appears to vary when the x-value changes. The curve of a line is ordinarily indicated by the letter m and can be determined using the equation: m = (y2 - y1) / (x2 - x1) (x1, y1) and (x2, y2) are any 2 things on the line. A line's slope can be positive, negative, zero, or unknown. A positive slope indicates that the line moves up from left to right, whereas a decreasing trend indicates that the line descends from left to right.

a. Because the relationship between the two variables is proportional, the function that connects the sales (s) and the number of muffins (m) is a linear function. The slope of the line can be calculated by dividing the change in sales by the change in the number of muffins:

slope = (2400 - 1800) / (12 - 4) = 600 / 8 = 75

The equation line is as follows:

s = 75m + b

To find the y-intercept (b), we can substitute one of the data points:

\(1800 = 75(4) + b\sb = 1800 - 300\sb = 1500\)

As a result, the function that connects sales and the number of muffins is:

s = 75m + 1500

b. In order to make at least $225.00 in sales, we must solve for m:

\(s = 75m + 1500 225 = 75m + 1500\s75m = -1275\sm = -17\)

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The ratio strength of the final product is 1:0.4.

One technique to indicate concentration is through ratio strength, which uses a ratio to characterize drug concentration. In this context, concentration is defined as the quantity of a solute that makes up one unit in the whole volume of a solution or combination. You should be an expert in ratio strength calculations as a pharmacy student. Ratio strength uses a ratio to describe the medication concentration. So, what it implies is, you have one unit of solute contained in the complete amount of preparation and so generally your ratio strength is expressed as one is to something. In the case of a weight-in-weight, volume-in-volume, or weight-in-volume situation, you would interpret a ratio of 1:2,000 differently.

Drug strength = 800mg

whole volume =2ltrs

The ratio of the solution in 1 ltr is = 400 mg

The ratio strength of the solutions is = 1:0.4

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Answer:

See the attached table.

Step-by-step explanation:

Each row, column, and diagonal all add up to six.

\(\left[\begin{array}{cccc}9&-5&-4&6\\-2&4&3&1\\2&0&-1&-5\\-3&7&8&-6\end{array}\right]\)

Hope that helps!

Answer:

*

Step-by-step explanation:

9  -5  -4   6

-2   4   3    1

2   0  -1   5

-3    7   8  -6

L(t) = (2/3)t + 3, (-1/2)t + 4, t + 2.

The curve of intersection of the cylinders x² + y² = 25 and y² + z² = 20 can be found by setting the two equations equal to each other:

x² + y² = y² + z² = 20

The intersection of the two cylinders is a circle.

To determine the radius of this circle, we use either of the two equations and solve for one variable in terms of the other two:

y² + z² = 20y²

= 20 - z²y

= ±sqrt(20 - z²)

If we substitute this expression for y into the equation x² + y² = 25, we can solve for x in terms of z:

x² + (20 - z²)

= 25x²

= 5 + z²x

= ±sqrt(5 + z²)

Thus, the curve of intersection can be expressed parametrically as follows:

r(t) = (x(t), y(t), z(t)) = (sqrt(5 + t²), sqrt(20 - t²), t)for -2sqrt(5) ≤ t ≤ 2sqrt(5)

At the point (3, 4, 2), t = 2.

To find the tangent vector to the curve at this point, we take the derivative of the position vector:

r'(t) = (x'(t), y'(t), z'(t)) = (t/sqrt(5 + t²), -t/sqrt(20 - t²), 1)

at t = 2:r'(2) = (2/sqrt(9), -2/sqrt(16), 1) = (2/3, -1/2, 1)

Finally, we obtain the vector equation of the tangent line by using the point-normal form of the equation of a line:

L(t) = r(2) + t r'(2)L(t)

     = (3, 4, 2) + t (2/3, -1/2, 1)L(t)

     = (2/3)t + 3, (-1/2)t + 4, t + 2

Therefore, a vector equation for the tangent line to the curve of intersection of the cylinders x² + y² = 25 and y² + z² = 20 at the point (3, 4, 2) is:

L(t) = (2/3)t + 3, (-1/2)t + 4, t + 2.

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For any two independent events, The correct statement is:

p(A or B) = P(A) + P(B)

This is known as the addition rule for probability. It states that the probability of either event A or event B occurring is equal to the sum of their individual probabilities, as long as A and B are mutually exclusive (i.e., they cannot both occur at the same time).

The other statements, p(A or B) - p(A) (B) and p(AB) = P(A), are not correct representations of the addition rule. The first statement appears to be a combination of subtraction and multiplication, which does not accurately represent the addition rule. The second statement equates the probability of the intersection of A and B (p(AB)) to the probability of A (P(A)), which is not generally true unless A and B are independent events.

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Out of the following, the statement Excel can add only linear trendlines to data in a scatter chart is  true  regarding   trendlines in scatter chart in excel.This means that the trendline in Excel will be a straight line that will best fit the data points in the scatter chart.

It will not be able to fit any other type of trendline, such as a polynomial or exponential trendline. Additionally, Excel cannot output the R Square value for a trendline in Excel for scatter charts of 3 or more variables. This is because the R Square value is a statistical measure that can only be calculated for linear regression models.

Finally, for simple linear regression models, the trendline in Excel will give the same equation as the data analysis toolpak regression tool. This means that the equation of the trendline in Excel will be the same as the equation of the regression line calculated by the data analysis.

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f(x) = x - 4

g(x) = 2x

We need to find g(f(-2)), which means

Find f(-2) at first by substitute x by -2 in f

f(-2) = (-2) - 4 = -2 - 4 = -6

Replace f(-2) by -6

Now we need to find g(-6)

Substitute x in g by -6

g(-6) = 2(-6) = -12

g(f(-2)) = -12

If the average of vehicles is 35.7 mpg then

(a) the variable is found to be "average miles per gallon .

(b) The variable is quantitative .

In the question ,

we are studying about the average miles per gallon (mpg) for new hybrid small cars .

by consumer reports the random sample of such vehicles gave an average of 35.7 mpg .

Part (a)

here the variable is "average miles per gallon(mpg) " , because it varies with the different cars .

Part(b) ;

This variable is Quantitative , because here we are studying about the term "how much" that means : average miles per gallon .

Therefore , the variable is "average miles per gallon" and is quantitative .

The given question is incomplete , the complete question is

The average miles per gallon (mpg) for all new hybrid small cars , Using Consumer Reports, a random sample of such vehicles gave an average of 35.7 mpg.

(a) Identify the variable.

(b) Is the variable quantitative or qualitative ?

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Rounding this to the nearest hundredth, the area of the sector is approximately 28.88 f\(t^2\).

To find the area of a sector, we can use the formula:

Area = (θ/360) × π × \(r^2\)

where θ is the central angle in degrees, π is approximately 3.14, and r is the radius.

Given a central angle of 131° and a radius of 7.2 ft, we can plug in these values into the formula to find the area:

Area = (131/360) × 3.14 × (7.2\()^2\)

Calculating this expression:

Area = (0.3639) × 3.14 × (7.2\()^2\)

Area ≈ 28.879 f\(t^2\)

Rounding this to the nearest hundredth, the area of the sector is approximately 28.88 f\(t^2\).

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Answer:

y=2x+16

Step-by-step explanation:

finally got it lol

Answer:

0.25x + 15

Step-by-step explanation:

Let x = number of months.

weight = initial weight + monthly increase

weight = 15 + 0.25x

Answer: 0.25x + 15

To solve the fraction addition problem in C++, you can define a Fraction struct to represent fractions. Implement a gcd function to find the greatest common divisor.

Parse the input fractions and perform the addition using overloaded operators. Print the result. The code reads the input string, finds the "+" operator position, parses the fractions, performs the addition, and prints the sum.

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