Amy went to the grocery store and purchased 4 apples, 5 oranges, and 2 bananas. What is the ratio of the number of oranges she purchased to the total number of items she purchased?

5:6

5:11

4:5

3:9

Answer:

$444

Step-by-step explanation:

3,582 + 4,979 = 8,561

9,005 - 8,561 = 444

Answer: C

Step-by-step explanation:

Answer:

first option is correct.

Step-by-step explanation:

Answer:

C. -16a(5)b³c²

The process of minimizing or maximizing an objective function f(x) parameterized by x is referred to as optimization. In terms of deep learning or machine learning

Finding the values of the parameters of a function (linear regression, logistic regression, etc.) that is used to lower a cost function is done using the optimization process known as gradient descent. The ratio of the vertical change to the horizontal change between any two points on a line is known as the slope (Slope = y/x). It is used to specify the direction of the line as well as its steepness.

When making the modifications to the parameters, we use batch gradient descent, which involves adding up all of the examples from each iteration. Based on the batch size, Mini-batch Gradient Descent adds up over fewer samples. Each example's parameters are updated using stochastic gradient descent (SGD).

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Answer:

30$ is 15% of 200$

Step-by-step explanation:

To find how much percent Jennie spent let's first find how much one percent of $200 is.

∴200/100=2

so one percent of 200 is 2

now let's find how much percent 30$ is of 200$

∴30/2=15

meaning that 30$ is 15% of 200$

Answer:

63.6 in²

Step-by-step explanation:

\(A(Circle)=\pi r^2\\A(Circle)=\pi (4.5)^2\\A(Circle)=\pi (20.25)\\A(Circle)=63.6\)

The 95% confidence interval estimate for the mean weight of newborn girls is approximately 28.314 hg to 30.486 hg.

To construct a confidence interval estimate of the mean weight of newborn girls, we can use the given sample statistics.

Sample size (n) = 183

Sample mean (\(\bar{x}\)) = 29.4 hg

Sample standard deviation (s) = 7.5 hg

Confidence level = 95%

To calculate the confidence interval, we can use the formula:

Confidence Interval = \(\bar{x}\) ± (Z \(\times\) (s / √n))

First, we need to determine the critical value (Z) corresponding to a 95% confidence level. For a two-tailed confidence interval at a 95% confidence level, the critical value is approximately 1.96.

Next, we substitute the values into the formula:

Confidence Interval = 29.4 hg ± (1.96 \(\times\) (7.5 hg / √183))

Calculating the values within the formula:

Confidence Interval = 29.4 hg ± (1.96 \(\times\) (7.5 hg / √183))

Confidence Interval ≈ 29.4 hg ± (1.96 \(\times\) 0.554 hg)

Calculating the values within the parentheses:

Confidence Interval ≈ 29.4 hg ± 1.086 hg

Calculating the upper and lower bounds of the confidence interval:

Lower bound = 29.4 hg - 1.086 hg ≈ 28.314 hg

Upper bound = 29.4 hg + 1.086 hg ≈ 30.486 hg

Therefore, the 95% confidence interval estimate for the mean weight of newborn girls is approximately 28.314 hg to 30.486 hg.

To determine if these results are very different from the given confidence interval of 27.9 hg, we compare the two intervals.

The calculated interval (28.314 hg to 30.486 hg) does not overlap with the given interval (27.9 hg).

Therefore, these results are considered different, indicating that the calculated confidence interval does not include the value 27.9 hg.

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Answer:

Sorry if i am wrong but i am pretty sure it is d≈3.82

Step-by-step explanation:

Answer:

A and E

Step-by-step explanation:

-3(x - y) = -3x + 3y = 3y - 3x

A. E

Answer:

The math function has the greater slope, which shows that the estimated time per question for math is greater than the estimated time per question for language arts.

OR B on edge

Step-by-step explanation:

The cauliflower function has the greater slope, which shows that the cost per pound of cauliflower is increasing at a faster rate than the cost per pound of broccoli.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

First, Slope for Broccoli

Slope = (3.6 - 3) / (3 - 2.5)

Slope = 0.6 / 0.5

Slope = 1.2

Second, Slope for Cauliflower

slope = (4.50 - 2.75) / (4.5 - 2.75)

= 1.75 / 1.75

= 1.000

Since the slope of the cauliflower function (1.0000) is greater than the slope of the broccoli function (0.8364), we can conclude that the cauliflower function has the greater slope.

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Answer:

w = 2.5

Step-by-step explanation:

6cm * wcm = 5cm * 6cm / 2;  divide both sides by 6cm

wcm = 5cm / 2; calculate

wcm = 2.5cm; divide both sides by 1cm ;)

w = 2.5

The value of w is 2.5 cm.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

We are given that the triangle and the rectangle have the same area.

Therefore,

Area of triangle = Area of rectangle

6cm x w cm = 5cm x 6cm / 2;  

Now divide both sides by 6cm;

w cm = 5cm / 2

Then calculate;

w cm = 2.5cm

Now divide both sides by 1 cm;

w = 2.5

Therefore, the value of w is 2.5 cm.

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The points are K(0, 6), L(-8, 0), J(9, 4).

Given that is a coordinate plane with Points K, L, J we need to determine the location of the points,

So,

You require the point's coordinates, which are made up of an x-coordinate (horizontal) and a y-coordinate (vertical), in order to label it on a coordinate plane.

So, Point K is at 6 units upwards from the origin so the point (0, 6) the x-intercept is zero.

Point L is 8 units vertically left side so the point is (-8, 0) here the y-intercept is zero.

Point J is 9 units vertically right side and 4 units upwards so the point is (9, 4).

Hence the points are K(0, 6), L(-8, 0), J(9, 4).

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Answer:

Step-by-step explanation:

The "holes" are the x-es where function doesn't exist.

one must not divide by 0, so given function doesn't exis if the denominator is equal 0

The product {(x+1)×(x-2)} is equal 0 if any of factors  {(x+1),(x-2)} is 0, so

x + 1 = 0    or    x - 2 = 0

x = - 1      or    x = 2

Answer:

2. y= -2x

Step-by-step explanation:

When the line is on an exact point like it is on (-4, 8), we can simplify it by going rise/run

Rise is the same as y (8), and your run is x (-4)

When you divide 8/-4, your answer will be -2

Therefore, the answer is y= -2x

Answer:

1

2,3,4

Step-by-step explanation: to

when the number of football is 1 is less expensive than basketball

The probability of hitting the black circle inside the target is approximately 0.0314.

The probability of hitting the white portion of the target is approximately 0.686.

Part A:

The black circle has a diameter of 2 units, which means it has a radius of 1 unit. The area of the circle is πr^2, which is π(1)^2 or π square units. The area of the white square is 10 x 10 or 100 square units.

The probability of hitting the black circle inside the target is the ratio of the area of the circle to the area of the square, which is π/100 or approximately 0.0314. This probability is closer to 0 because the circle is much smaller than the square, and the likelihood of hitting the exact center of the circle is low.

Part B:

The white portion of the target is the area of the square minus the area of the black circle, which is 100 - π square units.

The probability of hitting the white portion of the target is the ratio of the area of the white portion to the area of the square, which is (100-π)/100 or approximately 0.686.

This probability is closer to 1 because the white portion of the target is much larger than the black circle, and there are many possible areas of the square that could be hit.

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Answer:

x = 6

Step-by-step explanation:

The hypotenuse of the bigger triangle is 13. Which means that the squares of the other sides have to add to 169 (the square of 13) which we gather from the Pythagoras's theoreom. This clears all the other options except for  x = 6 since the squares of all the other numbers are larger than 169 except \(\sqrt{97}\) but looking at the graph, we can tell that x can't be root 97 since it would not slot together with the smaller triangle with the 4.

A triangle is a shape with 3 sides and angles. The value of x from the given figure is 6

A triangle is a shape with 3 sides and angles. To determine the value of x we will use the theorem to form an expression;

4/x =x/9

Cross multiply

x² = 9 * 4

x² = 36

x = 6

Hence the value of x from the given figure is 6

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To get six gallons of water for your mix, you will need to fill the two-liter bottle 12 times.

To find out how many times you need to fill the two-liter bottle to get six gallons of water for your concrete mix, follow these steps:

1. Convert gallons to liters: 1 gallon is approximately 3.78541 liters. So, 6 gallons of water would be 6 * 3.78541 = 22.71246 liters.
2. Divide the total liters needed by the capacity of the soda bottle: 22.71246 liters / 2 liters = 11.35623.
3. Round up to the nearest whole number since you can't have a fraction of a bottle: 12.

Therefore, to get six gallons of water for your mix, you will need to fill the two-liter bottle 12 times.

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Answer:C

Step-by-step explanation:

Answer:

Its A

Step-by-step explanation:

The optimal output of ice cream that maximizes profits for Lactaid dairy company is 6 units, based on the given cost and revenue functions.



To maximize profits, we need to determine the optimal level of output for ice cream. First, let's find the revenue function for ice cream. The revenue (R) is equal to the price (P) multiplied by the quantity (Q) of ice cream sold. Since the price of ice cream is $6, the revenue function can be expressed as R = 6Q.Next, we can calculate the cost function for ice cream. The total cost (C) function provided is C(M,I) = 10 + 0.2M^2 + 0.5|2. Since we are only interested in ice cream, we can disregard the term involving M. Therefore, the cost function for ice cream simplifies to C(I) = 10 + 0.5|I^2.

Profit (π) is calculated by subtracting the cost from revenue: π = R - C(I). Substituting the revenue and cost functions, we get π = 6Q - (10 + 0.5|I^2|).

To find the output of ice cream that maximizes profit, we need to find the value of I that maximizes the profit function. By differentiating the profit function with respect to I and setting it to zero, we can find the critical points. Solving for I, we get I = ±√(20/3).

Since the quantity of output cannot be negative, we take the positive value of I, which is approximately 2.8868. However, the options provided are discrete values. Among the given options, the closest value to 2.8868 is 6. Therefore, the output of ice cream that maximizes profits is 6.

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Answer:

Santos should run approximately 36.145 meters along the shore

Step-by-step explanation:

The given parameters are;

The distance along the shore of the child = 50 meters

The distance from the shore of the child = 60 meters

The rate at which Santos can run = 4 m/s

The rate he can swim = 0.9 m/s

Let 'x' represent the distance he runs along the shore

We have;

The time he spends running on the shore, t₁ = x/4

The time he spends swimming, t₂ = (√(60² + (50 - x)²)/0.9

The total time, T = t₁ + t₂ = x/4 + (√(60² + (50 - x)²)/0.9

To find the maximum, we have;

dT/dx = 0 = d(x/4 + (√(60² + (50 - x)²)/0.9)/dx = 1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0

1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0

Simplifying using a graphing calculator gives;

\(\dfrac{x - 2000}{9} = \sqrt{x^2-100\cdot x+6,100}\)

1519·x² - 151900·x + 3505900 = 0

x = (151900 ± √((-151900)² - 4×1519×3505900))/(2 × 1519)

x ≈ 63.86 m or x ≈ 36.145 m

We note that the distance from a point x = 63.83 meters and 36.145 meters from where Santos spots the girl to the location of the girl are the same

Therefore, Santos should run approximately 36.145 meters along the shore before jumping into to the water in order to save the child

The operating income is obtained by subtracting the total operating expenses from the gross profit. Lastly, the net income before taxes is calculated.

Income Statement for the Year Ended December 31

Sales: $56,000

Less: Sales discounts: $930

Less: Sales returns and allowances: $430

Net Sales: $54,640

Cost of Goods Sold: $12,600

Gross Profit: $42,040

Operating Expenses:

Office salaries expense: $3,800

Rent expense—Office space: $3,300

Advertising expense: $860

Office supplies expense: $860

Insurance expense: $2,800

Sales staff salaries: $4,300

Total Operating Expenses: $15,920

Operating Income (Gross Profit - Operating Expenses): $26,120

Net Income before Taxes: $26,120

Note: This income statement follows the multiple-step format, which separates operating and non-operating activities. It begins with sales and subtracts sales discounts and returns/allowances to calculate net sales. Then, it deducts the cost of goods sold to determine the gross profit. Operating expenses are listed separately, including office-related expenses, advertising, and salaries. The operating income is obtained by subtracting the total operating expenses from the gross profit. Lastly, the net income before taxes is calculated.

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Answer:

m<DBC=120°

Step-by-step explanation:

2x+x+90=180

3x=180-90

3x=90

x=30

m<DBC=x+90=30+90=120

Answer:

120

Step-by-step explanation:

ABC is a straight line so it is equal to 180

ABC = ABD + DBC

180 = 2x + x+90

Combine like terms

180 = 3x+90

Subtract 90 from each side

180-90  = 3x+90-90

90 = 3x

Divide each side by 3

90/3 = 3x/3

30 =x

We want to find DBC

DBC = x+90

       = 30+90

        = 120

Answer:

Below

Step-by-step explanation:

Slope = rise/run = 2/3

Point (3,5)      y-5 = 2/3 (x-3)

                         y = 2/3x +3

1. The sample mean is 24 minutes. The population mean is 27 minutes. The estimated margin of error of the sample population is 3.5 minutes.

2. The difference in the means of the two groups is 7%. The difference in the means is not due to chance.

3. The point estimate for the percent who want to change the town's name is 0.82. The poll's margin of error is 0.04.

1a) The sample mean is calculated as follows:

(31 + 10 + 13 + 42 + 20 + 23 + 23 + 27 + 25 + 31 + 18 + 13) / 12 = 24 minutes

The population mean is calculated as follows:

(31 + 10 + 13 + 42 + 20 + 23 + 23 + 27 + 25 + 31 + 18 + 13) / 27 = 27 minutes

b) The estimated margin of error is calculated as follows:

z * s / sqrt(n) = 1.96 * 6.2 / sqrt(12) = 3.5 minutes

2. The difference in the means of the two groups is calculated as follows:

88% - 81% = 7%

The point estimate for the percent who want to change the town's name is calculated as follows:

(0.86 + 0.78) / 2 = 0.82

The poll's margin of error is calculated as follows:

(0.86 - 0.78) / 2 = 0.04

3. I think the town is most likely to change its name, because the point estimate is greater than 0.5 and the margin of error is small. This means that it is likely that the majority of adults in the town want to change the name.

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Answer:

\( \boxed {( 4, - 10)}\)

Step-by-step explanation:

\(y = {x}^{2} - 8x + 6\)

Here are some formulas that you might need.

\(h = - \frac{b}{2a} \\ k = \frac{4ac - {b}^{2} }{4a} \)

The vertex of graph is at (h, k) from the vertex form.

\(x = h \\ y = k\)

Substitute in the formula.

\(h = - \frac{( - 8)}{2(1)} \\ h = \frac{8}{2} \\ h = 4\)

Next we find the value of k.

\(k = \frac{4(1)(6) - {( - 8)}^{2} }{4(1)} \\ k = \frac{24 - 64}{4} \\ k = \frac{ - 40}{4} \\ k = - 10\)

Therefore the vertex is (4,-10).

The Prime factors of 25 are  5² of 5 * 5. Thus, option C is the answer to the given question.

Prime numbers are numbers that have only 2 prime factors which are 1 and the number itself. Examples of prime numbers consist of numbers such as 2, 3, 5, 7, and so on.

Composite numbers are numbers that have more than 2 prime factors that are they have factors other than 1 and the number itself. Examples of composite numbers consist of numbers such as 4, 6, 8, 9, and so on.

Factors are numbers that are completely divisible by a given number. For example, 7 is a factor of 56. Prime factors are the prime numbers that when multiplied product is the original number.

To calculate the prime factor of a given number, we use the division method.

In this method to find the prime factors, firstly we find the smallest prime number the given is divisible by. In this case, it is not divisible by either 2 or 3 it is by 5. Then we divide the number that prime number so we divide it by 5 and get 5 as the quotient.

Again, divide the quotient of the previous step by the smallest prime number it is divisible by. So, 5 is again divided by 5 and we get 1.

Repeat the above step, until we reach 1.

Hence, the Prime factorization of 25 can be written as 5 × 5 or we can express it as (5²)

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Plan 2 can be used to save $500 in less than 16 weeks and have $20 extra.

The number of weeks and y, which is the equation we wish to utilise, stand in for the total amount saved. Our equation will then be 15 x. Instead of the other way around, he will save 330.

Plan  Amount saved per week Total amount saved in 16 weeks

1      $31.25                                         $500

2      $35                                             $560 (with $60 extra)

3      $40                                              $640 (with $140 extra)

Plan 2 can be used to save $500 in less than 16 weeks and have $20 extra.

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Answer:

107

Step-by-step explanation:

you will add 60 + 32 +15 = 107 that is how i got the answer