Dave is making lemonade. For each 8 cups of water, he uses 3 cups of lemon juice and 2 cups of sugar. If w the number of cups of water, l is the number of cups of lemon juice, and s is the number of cups of sugar, which equations are correct?
A. l = 3/8 (w)
B. l = 3s
C. w= 4s
D. l = 2/3 (s)

Answer:11

Step-by-step explanation:

Answer:

11 units

Step-by-step explanation:

use the absolute value function to find the difference between A and E

A = - 6 , E = 5 , then

AE = | - 6 - 5 | = | - 11 | = | 11 | = 11

or

AE = | 5 - (- 6) | = | 5 + 6 | = | 11 | = 11

Answer:

44

Step-by-step explanation:

10 x 3 = 30

8 + 6 =14

30 + 14 = 44

Answer:

110ft²

Step-by-step explanation:

Area of figure=(10×8)+(1/2×6×8)

=80+24

=112 ft²

=110 ft² (to nearest tenth)

A conclusion which can be inferred about an individual score that corresponds to a z-value of 1.0 is that: c.) it is likely to come from the healthy distribution.

A z-value is also referred to as a z-score or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.

In Statistics, z-values can either be positive or negative and it can be calculated by using this formula:

\(Z=\frac{x\;-\;u}{\delta}\)

Where:

Since the individual score that corresponds to a z-value of 1.0, we can reasonably infer and logically conclude that an individual score is likely to come from the healthy distribution.

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Complete Question:

Scores of healthy adults on a neurological test form a normal distribution with mean = 100 and SD = 15. What conclusion can be inferred about an individual score that corresponds to a z value of 1.0?

a.) it falls in the general region of the population

distribution

b.) it falls in the common region of the distribution

c.) it is likely to come from the healthy distribution

d.) it is unlikely to come from the healthy distribution

To find P(Q and R), we can use the formula: P(Q and R) = P(Q) × P(R) Since the events Q and R are independent, we can multiply the probabilities of each event to find the probability of both events occurring together. P(Q) = 0.37P(R) = 0.24P(Q and R) = P(Q) × P(R) = 0.37 × 0.24 = 0.0888.

Therefore, the probability of both Q and R occurring together is 0.0888. Long Answer:Independent events:In probability theory, two events are independent if the occurrence of one does not affect the probability of the occurrence of the other. Two events A and B are independent if the probability of A and B occurring together is equal to the product of the probabilities of A and B occurring separately. Mathematically,P(A and B) = P(A) × P(B) Suppose Q and R are independent events. Find P(Q and R).

We can use the formula: P(Q and R) = P(Q) × P(R) Since the events Q and R are independent, we can multiply the probabilities of each event to find the probability of both events occurring together. P(Q) = 0.37P

(R) = 0.24

P(Q and R) = P(Q) × P(R)

= 0.37 × 0.24

= 0.0888

Therefore, the probability of both Q and R occurring together is 0.0888. Hence, P(Q and R) = 0.0888. In probability theory, independent events are the events that are not dependent on each other. It means the probability of one event occurring does not affect the probability of the other event occurring.

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The area of each of the missing faces is 40 m².

The length of each of the missing faces is 10 m.

The missing dimension is 10 m by 4 m.

Area is the region bounded by a plane shape.

To calculate the area of each missing face, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

And the length of each of the missing edge can be calculated using the formula below

Formula:

Where:

From the diagram in the question,

Given:

Substitute into equation 2

Hence, the length is 10 m.

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The null hypothesis states that there is no significant difference between the fuel efficiency of Population 1 vehicles (guzzlers) and Population 2 vehicles (non-guzzlers). The alternative hypothesis suggests that there is a significant difference between the fuel efficiency of the two populations.

1. Null Hypothesis (H0): There is no significant difference in fuel efficiency between Population 1 and Population 2 vehicles.
2. Alternative Hypothesis (Ha): There is a significant difference in fuel efficiency between Population 1 and Population 2 vehicles.
3. These hypotheses are based on the assumption that Population 1 vehicles are guzzlers, meaning they have lower fuel efficiency, while Population 2 vehicles are non-guzzlers, meaning they have higher fuel efficiency.

The null hypothesis states that there is no significant difference in fuel efficiency between the two populations, while the alternative hypothesis suggests that there is a significant difference. This hypothesis testing framework helps researchers analyze and determine if there is evidence to support the idea that one population has higher or lower fuel efficiency compared to the other.

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Answer:Variability

Step-by-step explanation:

The total cost before the sales tax was 19.828 pounds.

For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.

We have to determine the total cost before sales tax.

As per the question, we have prices as:

cost of turkey = 3.95 per pound

cost of egg cheese = 1.3 per pound

cost of egg salad = 0.89 per pound

The total cost of turkey = 3.8 × 3.95  = 15.01 pounds

The total cost of cheese = 2.2 × 1.3 = 2.86 pounds

The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds

The total cost before sales tax = 15.01 + 1.958 +2.86

Apply the addition operation, and we get

The total cost before sales tax = 19.828 pounds

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The question seems to be incomplete the correct question would be:

Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?

Answer:

x= 21

Step-by-step explanation:

(x+6)^1/3-5=-2

Solve for x

Add 5 to each side

(x+6)^1/3-5+5=-2+5

(x+6)^1/3=3

Cube each side.

((x+6)^1/3)^3=3^3

x+6 = 27

Subtract 6 from each side

x+6-6 = 27-6

x= 21

Answer:

x = 21

Step-by-step explanation:

\(\sf(x+6)^\frac{1}{3} -5=-2\)

First, add 5 to both sides.

\(\sf(x+6)^\frac{1}{3} =-2+5\\\\\sf(x+6)^\frac{1}{3} =3\\\\\sqrt[3]{(x+6)} =3\)

Cube both sides.

\(\sqrt[3]{(x+6)} =3\\\\x+6=3^3\\\\x+6=27\)

Subtract 6 from both sides.

\(x+6=27\\\\x=27-6\\\\x=21\)

The statement "new int[3]{1, 2, 3};" allocates an array of three initialized integers on the heap. This statement is True.

In C++, the "new" keyword is used to dynamically allocate memory on the heap. The statement "new int[3]{1, 2, 3};" allocates an array of three integers and initializes them with the values 1, 2, and 3.
The "new int[3]" part of the statement allocates memory for three integers on the heap. The square brackets [3] indicate that an array of size 3 should be allocated. The "int" specifies the type of the elements in the array.
The "{1, 2, 3}" part of the statement initializes the elements of the array with the specified values. In this case, the array elements are initialized to 1, 2, and 3 respectively.
By using the "new" keyword with the initialization values enclosed in curly braces, the array is allocated on the heap and the elements are initialized at the same time.L
Therefore, the statement "new int[3]{1, 2, 3};" does indeed allocate an array of three initialized integers on the heap, making the statement True.

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The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively

From the question, we have the following parameters that can be used in our computation:

The graph

The above graph is an exponential function

The rule of an function is that

The domain is the set of all real values

In this case, the domain is (-∝, ∝)

For the range, we have

Range = (0, ∝)

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Answer: what the question

Step-by-step explanation:

Answer:

1. 20 pounds

2. $11

Step-by-step explanation:

To set this up, you have to use a system of equations. It would look like this, where  is pounds and  is total cost:

UPS:

FedEx:

In order to solve a system of equations you must either a.) graph it, or b.) set them equal to each other.

If you graph it, the answer is where the two lines intersect.

If you set them equal to each other, solve it.

I will set them equal to each other in this:

The first step in a problem like this, where there's the same variable on both sides, is to subtract the smaller variable from both sides. In this case, it is  . That would turn the equation into:

After that, you must solve it like a regular two-step equation.

Start by subtracting 5 from both sides:

Now, you must divide both sides by .

That would give us:

This means that in order for the prices to be the same, the package must be 20 pounds.

Now in order to find the total cost, you must plug 20 into one of the equations. It doesn't matter which, since they both equal the same. I will plug it into the FedEx equation:

Now you can just use a calculator and solve that or do it by hand. Multiply 0.30 by 20, to get 6, then add 5, which equals 11.

You should get: .

This means that the total cost, when the costs are the same for both FedEx and UPS, is $11.

Answer: you will have 56

Step-by-step explanation:

Answer:

100 hours

Step-by-step explanation:

Because 18 would be 1800 and then 19 would be 1900 and then 100 would be 2000

Tο shift the graph tο the right, we can simply add a pοsitive cοnstant tο the x values οf each pοint befοre plοtting them. Fοr example, if we want tο shift the graph tο the right by 2 units.

The intersectiοn οf twο number lines creates a twο-dimensiοnal plane knοwn as a cοοrdinate plane. The x-axis, a hοrizοntal number line, and the y-axis, a vertical number line, are twο examples οf these number lines.

Tο graph the equatiοn 5x - 3y = 18 οn a cοοrdinate plane, we can fοllοw these steps:

1. Sοlve fοr y in terms οf x:

5x - 3y = 18

-3y = -5x + 18

y = (5/3)x - 6

2. Chοοse sοme values fοr x and use the equatiοn tο find the cοrrespοnding y values. Fοr example, we can chοοse x = 0, 3, and 6:

When x = 0: y = (5/3)(0) - 6 = -6

When x = 3: y = (5/3)(3) - 6 = -3

When x = 6: y = (5/3)(6) - 6 = 2

3. Plοt the pοints (0, -6), (3, -3), and (6, 2) οn the cοοrdinate plane.

4. Draw a straight line passing thrοugh these three pοints. This line represents the graph οf the equatiοn 5x - 3y = 18.

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Answer:

21−8−(−5)(7)−54

=−6

Step-by-step explanation:

21−8−(−5)(7)−54

=13−(−5)(7)−54

=13−(−35)−54

=48−54

=−6

The probability that she wins the next two matches is 36% or 0.36

How to calculate the probability of two matches?

Given,

She believes that the outcome of each match is independent. So, the outcome of next match does not depend on the previous match, is called independent event.

The probability of winning one match is 0.6

Since the outcome of each match is independent, we easily get the probability of she winning the next two matches by multiplying the probability of she winning per match. So,

Probability she wins the next two matches = 0.6 x 0.6

= 0.36 or 36%

Thus, the probability that she wins the next two matches is 36% or 0.36

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There are 7 degrees of freedom.

In performing the pooled-variance t test, the degrees of freedom can be calculated using the formula:
df = (n1 - 1) + (n2 - 1)

Substituting the given values:
df = (4 - 1) + (5 - 1)
df = 3 + 4
df = 7

Therefore, there are 7 degrees of  freedom.

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There are 7 degrees of freedom for the pooled-variance t-test.

To perform a pooled-variance t-test, we need to calculate the degrees of freedom. The formula for degrees of freedom in a pooled-variance t-test is:

\(\[\text{{df}} = n_1 + n_2 - 2\]\)

where \(\(n_1\)\) and \(\(n_2\)\) are the sample sizes of the two independent samples.

In this case, \(\(n_1 = 4\)\) and \(\(n_2 = 5\)\). Substituting these values into the formula, we get:

\(\[\text{{df}} = 4 + 5 - 2 = 7\]\)

In a pooled-variance t-test, we combine the sample variances from two independent samples to estimate the population variance. The degrees of freedom for this test are calculated using the formula \(df = n1 + n2 - 2\), where \(n_1\)and \(n_2\) are the sample sizes of the two independent samples.

To understand why the formula is \(df = n1 + n2 - 2\), we need to consider the concept of degrees of freedom. Degrees of freedom represent the number of independent pieces of information available to estimate a parameter. In the case of a pooled-variance t-test, we subtract 2 from the total sample sizes because we use two sample means to estimate the population means, thereby reducing the degrees of freedom by 2.

In this specific case, the sample sizes are \(n1 = 4\) and \(n2 = 5\). Plugging these values into the formula gives us \(df = 4 + 5 - 2 = 7\). Hence, there are 7 degrees of freedom for the pooled-variance t-test.

Therefore, there are 7 degrees of freedom for the pooled-variance t-test.

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Answer:

70°

Step-by-step explanation:

In an isosceles triangle the 2 base angles are congruent , thus

base angle = \(\frac{180-40}{2}\) = \(\frac{140}{2}\) = 70°

Answer:   C

.......................

Answer: A

Step-by-step explanation:

Answer:

I think it is 82m2

Tried my best

Area Two walls are

= 2 × 5 × 3

= 30 m2

Area of other two walls:

= 2 × 6 × 3

= 48 m2

Total area = 48 + 30 m2

Thus area = \(\red{\bold{\boxed{78 {m}^{2}}}}\)

The researchers used a sample of mice in a maze experiment to study learned behavior. They timed each mouse on its first run through the maze and again on its tenth run through the maze, recording the difference in times for each mouse.

The maze experiment is a common method used by researchers to study the learned behavior of animals, including mice. In this experiment, a maze is set up with food placed at the end to motivate the mouse to find its way through the maze. The researchers time the mouse on its first run through the maze to establish a baseline for the mouse's performance. They then repeat the experiment by timing the mouse on its tenth run through the maze to see if the mouse has learned and improved its performance. By subtracting the time of the first run from the time of the tenth run, the researchers can measure the difference in time and assess how much the mouse has learned.

The difference in time between the first and tenth run can be used as a measure of learning, and statistical analysis can be applied to identify significant changes in the mouse's performance. This type of experiment can be useful for studying the effects of different variables on learning, such as different training methods or drug treatments. The maze experiment can also be adapted to study other aspects of animal behavior, such as memory and decision-making.

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Answer:

-7/9

Step-by-step explanation:

the slope of a line between two points is 'rise over run', or the vertical distance between the points divided by the horizontal distance between them.

Finding the change in either direction is done by simply subracting our starting value from our ending value. It does not matter which point you start at, but lets choose (-6,-7) as our starting point, and (-24,7) as our end point.

The 'rise' of this line is 7 - (-7), which equals 14

The 'run' would then be -24 - (-6), which equals -18

Thus the slope is 14/(-18). Reducing this fraction gives us an answer of -7/9.

Answer:

8.50x \(\geq\) 348.50

41 hours

Step-by-step explanation:

x= amount of hours

∂z/∂s = 3cos(t)/y, ∂z/∂t = 3s*cos(t)/y - sin(s)/x (using the chain rule to differentiate each term and substituting the given expressions for x and y)

To find ∂z/∂s and ∂z/∂t using the chain rule, we start by finding the partial derivatives of z with respect to x and y, and then apply the chain rule.

First, let's find ∂z/∂x and ∂z/∂y.

∂z/∂x = ∂/∂x [ln(5x^3y)]

= (1/5x^3y)  ∂/∂x [5x^3y]

= (1/5x^3y) 15x^2y

= 3/y

∂z/∂y = ∂/∂y [ln(5x^3y)]

= (1/5x^3y) ∂/∂y [5x^3y]

= (1/5x^3y)  5x^3

= 1/x

Now, using the chain rule, we can find ∂z/∂s and ∂z/∂t.

∂z/∂s = (∂z/∂x)  (∂x/∂s) + (∂z/∂y)  (∂y/∂s)

= (3/y)  (cos(t)) + (1/x)  (0)

= 3cos(t)/y

∂z/∂t = (∂z/∂x)  (∂x/∂t) + (∂z/∂y)  (∂y/∂t)

= (3/y) * (scos(t)) + (1/x)  (-sin(s))

= 3scos(t)/y - sin(s)/x

Therefore, ∂z/∂s = 3cos(t)/y and ∂z/∂t = 3s*cos(t)/y - sin(s)/x.

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The circumference of the nickel is approximately 66.59 millimeters.

Since the diameter of a nickel is 2.16 millimeters longer than the diameter of a penny, we need to first find the diameter of the penny. Since the radius of a penny is 9.525 millimeters, the diameter of the penny is twice the radius, which is 9.525 * 2 = 19.05 millimeters.

Now, we can find the diameter of the nickel by adding 2.16 millimeters to the diameter of the penny: 19.05 + 2.16 = 21.21 millimeters. To find the circumference of the nickel, we use the formula C = π * d, where C is the circumference, π is approximately 3.14, and d is the diameter.

Using the diameter of the nickel (21.21 millimeters) and the value of π (3.14), we can calculate the circumference: C = 3.14 * 21.21 = 66.59 millimeters.
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Answer:

1/5

Step-by-step explanation: