A recipe calls for 1/3 of a cup of sugar per batch. Elena user 6 1/6 cups of sugar to make multiple batches of cookies. How many batches did she make?

There is a 3.1% chance of obtaining a sample with a mean of 85 or higher assuming that the true mean sales at the new location are still equal to or less than 75 bowls a day.

What is the P value in statistics?

P value is a part of hypothesis testing. The P value is a measurement used against some data in testing.

Given in question,

    Food Truck in  Old location:

                             Sold =  75 bowls of noodle soup

   New location  Sold =  85 bowls of noodle soup

   p-value = 0.031

there is a 3.1% chance of obtaining a mean with a sample.

similarly, that is we can tell that the true mean sales at the new location will be still equal to or less than 75

  i.e. [P(X=75) ≤ P(X=85)]   bowls a day.

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Answer:

center of rotation

Step-by-step explanation:

The least common denominator (LCD) of the rational expressions is (x+1)(x-1).

When adding or subtracting rational expressions, we need to find a common denominator. The least common denominator (LCD) is the smallest multiple of the denominators of the rational expressions.

To find the LCD, we follow these steps:

Let's consider an example to illustrate this process:

Example:

Find the LCD of the rational expressions:

x/(x+1) and 1/(x-1)

Step 1: Factor the denominators:

x+1 and x-1

Step 2: Identify the common factors:

There are no common factors in this case.

Step 3: Take the product of the highest powers of each common factor:

Since there are no common factors, we skip this step.

Step 4: Include any unique factors:

The unique factors are x+1 and x-1.

Step 5: Simplify the resulting expression:

The LCD is (x+1)(x-1).

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The least common denominator of the rational expressions in this problem is given as follows:

4x(x + 5).

The rational expressions for this problem are defined as follows:

9/(4x + 20), 10/(x² + 5x).

The denominators are given as follows:

The denominators can be simplified as follows:

The least common denominator is the multiplication of the unique factors, hence it is given as follows:

4x(x + 5).

The expression that completes this problem is given as follows:

9/(4x + 20), 10/(x² + 5x).

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Answer:

80%

Step-by-step explanation:

We can find this by dividing 4 by 5 to get 0.8. Then we can convert this to a percent.

Answer:

Area for triangle : Area =  1⁄2× base × height

Area for square : Area = base × height

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

add 60 plus 4o then subtracted from 180

Answer:

x = 100°

Step-by-step explanation:

40 + 60 =

100

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The transmitted intensity i1 is approximately 19.32 watts per square meter.

An indicator of a physical phenomenon's strength or power, such as light, sound, or radiation, is its intensity. It is often expressed in terms of the quantity of energy being transmitted or received per unit area or volume. For instance, the intensity of light is expressed in watts per square metre, while the strength of sound is expressed in watts per square metre per hertz. Distance, direction, and the qualities of the medium through which the phenomenon is transmitted can all have an impact on intensity.

To find the transmitted intensity (i1), we need to use the formula:

\(i1 = i0 * cos(θ0 - θta)\)

where i0 is the initial intensity, \(θ0\)is the initial angle, and \(θta\) is the transmitted angle.

Step 1: Calculate the difference between the angles:
\(Δθ = θ0 - θta\) = 25.0 degrees - 40.0 degrees = -15.0 degrees

Step 2: Convert the angle difference to radians:
\(Δθ\)(in radians) = -15.0 degrees *\((\pi /180)\) ≈ -0.2618 radians

Step 3: Calculate the cosine of the angle difference:
\(cos(Δθ) ≈ cos(-0.2618)\)≈ 0.9659

Step 4: Calculate the transmitted intensity (i1):
i1 = i0 * \(cos(Δθ)\) = 20.0\(W/m^2\) * 0.9659 ≈ 19.32 \(W/m^2\)

So, the transmitted intensity i1 is approximately 19.32 watts per square meter.

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Answer:

1/14 ; 1/35

Step-by-step explanation:

A

6/10 x 5/9 x 4/8 x 3/7

3/5 x 5/9 x 1/2 x 3/7

1 x 1/3 x 3/14

1/14

B

4/10 x 3/9 x 2/8 x 6/7

2/5 x 1/3 x 1/4 x 6/7

2/15 x 3/14

1/5 x 1/7

1/35

The probability that  4 creature cards is pulled is 1/14 and the probability that 3 land cards and 1 creature card is pulled is 4/35

Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.

Given here there are 4 land cards and 6 creature cards

thus selecting four cards at random from 10 cards is  ¹⁰C₄=210

and the event of selecting 4 creature cards from a total of 6 cards is ⁶C₄ =15

Therefore probability of pulling 4 creature cards is = 15/210

                                                                                     = 1/14

The probability of pulling 3 land cards and 1 creature cards is    

= ⁴C₃ × ⁶C₁   /  ¹⁰C₄

= 4/35

Hence 1/14 and 4/35 are the respective probabilities.

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The estimated percentage of idle time for air-express cargo loaders is approximately 9.09%.

To calculate the estimated percentage of idle time, we need to divide the number of observations in which the loaders were idle by the total number of observations and multiply by 100.

In this case, the loaders were idle in 5 out of 55 observations. Dividing 5 by 55 gives us 0.0909. Multiplying this by 100, we find that the estimated percentage of idle time is approximately 9.09%.

This means that, based on the initial survey, it is estimated that the loaders are idle approximately 9.09% of the time. This information provides an insight into the frequency or occurrence of idle periods for the air-express cargo loaders and can be used to evaluate their efficiency or productivity.

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To find the result of multiplying vector a by vector b, we use the dot product or scalar product. The dot product of two vectors is calculated by multiplying the corresponding components and summing them up.

Given:

a = [1, 3, 5]

b = [1, 3, 5]

To find a · b, we multiply the corresponding components and sum them:

\(a . b = (1 * 1) + (3 * 3) + (5 * 5)\\ = 1 + 9 + 25\\ = 35\)

So, a · b equals 35.

Now, let's plot the coordinate (35) on a graph paper. Since the coordinate consists of only one value, we'll plot it on a one-dimensional number line.

On the number line, we mark the point corresponding to the coordinate (35). The x-axis represents the values of the coordinates.

First, we need to determine the appropriate scale for the number line. Since the coordinate is 35, we can select a scale that allows us to represent values around that range. For example, we can set a scale of 5 units per mark.

Starting from zero, we mark the point at 35 on the number line. This represents the coordinate (35).

The graph paper would show a single point labeled 35 on the number line.

Note that since the coordinate consists of only one value, it can be represented on a one-dimensional graph, such as a number line.

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Answer:

A) 38,000

B) 28.6%

Step-by-step explanation:

Any positive integer n that meets the three requirements is a multiple of 9 and 11, as well as an odd multiple of 5. Lcm(5,9,11)=5911=495 is the smallest such n.

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the corresponding positive numbers are the negative numbers.

Here,

The n subsequent integers from -(n-1)/2 to (n+1)/2 have a sum of 0 if n is an odd number. Sum n is produced by translating the interval to the right by 1. Each positive sum is therefore a positive multiple of n.

If n is even, the sum of the next n even integers from -n/2-1 to +n/2 is n/2. Sum n+n/2 is produced by moving the interval to the right by 1. As a result, every positive sum is an odd multiple of n/2.

Therefore, any positive integer n that meets the three requirements is a multiple of 9 and 11, as well as an odd multiple of 5. Lcm(5,9,11)=5911=495 is the smallest such n.

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Answer:

Step-by-step explanation:

base length b = 32 cm

slant height L = 30 cm

height h = √(L²-(½b)²)

= √(30²-0.25·32²)

≅ 25.3771550809 cm

volume V = (⅓)b²h

= (⅓)32²·25.38

≅ 8662.07 cm³

The relative price is a useful measure for comparing the prices of different products or services, especially in the context of consumer preferences and demand.

Relative price refers to the price of a particular product or service in relation to other goods or services in the market.

It is calculated as the ratio of the price of a given product or service to the price of a reference product or service, commonly referred to as a base good or service.

Let the price of a pair of shoes be $5 and the price of a box of tea be $3.

Then the relative price of a pair of shoes is given by:

Relative price of shoes = Price of shoes / Price of tea

= $5 / $3

= 1.67

Thus, the relative price of a pair of shoes is 1.67.

Similarly,

The relative price of a box of tea can be calculated as follows:

Relative price of tea = Price of tea / Price of shoes

= $3 / $5

= 0.6

Therefore, the relative price of a box of tea is 0.6.

This means that the price of tea is relatively cheaper than that of shoes, as its relative price is less than one.

The relative price of shoes is greater than one, which indicates that shoes are relatively more expensive than tea.

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Answer:

To find the inverse, locate points on the graph. In this case, the plotted points are (4, -5) (5,-4) and (6,-1). To figure out the inverse, we just swap those around. (-5, 4) (-4, 5) and (-1, 6).

Some more points that you can plot are: (2, -1) (3, -4) and swap those around for (-1, 2) and (-4, 3).

Step-by-step explanation:

Answer:

hello here is my help real help  you better give me brainliest

Step-by-step explanation:

1. $5

2. 50 cents

3. 25 cents

4. 3 dollars

5. 70 cents

just subtract them

Answer:

Not equivalent

Step-by-step explanation:

Given:

We see that

Comparing:

They have same denominator but different numerator, hence they are different

Answer:  No

Step-by-step explanation:

No there are not since 3 times 7 = 21 and 9 times 3 = 27. The numbers that are used to multiply for the answers,  7 and 9, are not the same so therefore both ratios are not equivalent.

Answer:

C

Step-by-step explanation:

To make it easy, if there are 3 yellow, 2 green, and 8 total, just find the equation that has the fraction result of 5/8.

The table of values for the function y = (1/2)^x with x = -2 to 3 x is as shown below

Given that

y= (1/2)^x

To complete the table of values for the function y = (1/2)^x, we can substitute the given values of x into the function and evaluate for y. The table is as follows:

x y

-2 4

-1 2

0 1

1 1/2

2 1/4

3 1/8

Here's how we get each value of y:

Therefore, the table of values for the function y = (1/2)^x with x = -2 to 3 and an increment of 1 in x is as shown above.

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Answer:

The answer is 152 r10

Step-by-step explanation:

There is indeed a remainder when dividing 6394 by 42.

6394 ÷ 42 = 152 with a remainder of 10, so, the remainder is 10.

Here, we have,

To determine if there is a remainder when dividing 6394 by 42,

we can perform the division and check if the result is a whole number or a decimal.

6394 ÷ 42 = 152 with a remainder of 10

Since the division does not result in a whole number,

but rather a quotient of 152 with a remainder of 10,

it indicates that there is indeed a remainder when dividing 6394 by 42.

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Answer:

D. 5

Step-by-step explanation:

Heather runs 5 miles in 1 hour.

average speed = distance/time = 5 miles / 1 hour = 5 miles per hour

Answer: D. 5

The number of ways integer points can be assigned to the 12 problems, given that the total points is 100 and each problem is worth at least five points, can be calculated using a combinatorial approach.

To determine the number of ways, we can use the concept of stars and bars, which is a combinatorial technique used to distribute indistinguishable objects into distinguishable groups. In this case, the stars represent the total points (100) and the bars represent the dividers between the problems.

Since each problem is worth at least five points, we can consider a minimum of five points already assigned to each problem. This means we need to distribute the remaining points (100 - 12*5 = 40 points) among the 12 problems.

Using the stars and bars approach, we have 40 stars (representing the remaining points) and 11 bars (representing the dividers between the 12 problems). The number of ways to arrange these stars and bars is equivalent to the number of ways to assign points to the problems.

The answer, therefore, can be calculated using the formula for combinations with repetition: C(n + k - 1, k - 1), where n is the number of stars (40) and k is the number of bars (11).

Hence, the number of ways to assign integer points to the problems is C(40 + 11 - 1, 11 - 1) = C(50, 10).

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Answer:

24

Step-by-step explanation:

180/7.5=24

you get 7.5 by 6.5+1

ANSWER

D. None of the above

EXPLANATION

We want to determine if x = 3 is the solution to the equation given:

To solve this equation, we have to find the square root of both sides of the equation (the solution will consist of a negative and positive number):

Therefore, Diego is incorrect but none of the reasons stated is correct.

Hence, the answer is None of the above.

If the first number is not allowed to be "0", we will have that the aviable numbers will be:

So, we will have 9 posibilites, now:

First, we will have that the biggest number of 7 digits that we will be able to write will be 9 999 999 and the smallest is 1 000 000.

Now, we will have that the total number of aviable values is:

Then, the total number of possible is:

Answer:

11

Step-by-step explanation:

5%=0.05

0.05x220=11

Answer:

Im guessing 11.

Step-by-step explanation:

5% of 220 is 11.

Answer:

slope = -3

Step-by-step explanation:

Slope formula: \(\frac{y2-y1}{x2-x1}\)

Given points: (2, 0), (6, -12)

(2, 0) = (x1, y1)

(6, -12) = (x2, y2)

To find the slope, input the two given points into the formula used to find slope:

\(\frac{-12-0}{6-2}\)

Simplify:

-12 - 0 = -12

6 - 2 = 4

\(\frac{-12}{4} = -\frac{3}{1}=-3\)

The slope of the line is -3.

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Answer:

{x+[5] } { [4]x-[1] }

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