coordinate plane notes pratice

help pleaseeee tyyyvm :)

Answer: 6/32 or .1875

Step-by-step explanation:

There are 6 numbers between 2 and 33 that are either squares or cubes

Square 4,9,16,25

Cube 8,27

Therefore the probability of getting a squared or cubed number is 6/32 or 0.1875

Answer:

x = 45°

Step-by-step explanation:

Vertical Angle Theorem

When two straight lines intersect, they form two pairs of angles.  The vertically opposite (non-adjacent) angles are congruent (equal).

From inspection of the given diagram, the straight line with points C and D and the straight line with points F and G intersect at point E.

Therefore, angles ∠FEC and ∠DEG are vertically opposite, and so they are equal.

From inspection of the diagram:

Therefore:

⇒ ∠FEC =∠DEG

⇒  x = 45°

Answer:8

Step-by-step explanation:

1×8=8

8×8=64

1/8=8/64

Answer:

Step-by-step explanation:

The confidence interval boundaries is represented mathematically as shown below;

CI = p±E where;

p is the percentage of people surveyed

E is the margin of error

Given parameters

p = 40% = 0.4

E = 3.1% = 0.031

Required

Confidence interval corresponds to the given information.

Substituting the given parameters into the given formula:

CI = p±E

CI = 0.4±0.031

CI = (0.4-0.031, 0.4+0.031)

CI = (0.369, 0.431)

Hence the confidence interval that corresponds with the information is 0.369≤\(\mu\)≤0.431.

Answer:

y = 36

Step-by-step explanation:

given y varies directly  with x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the condition when x = 5 , y = 15

15 = 5k ( divide both sides by 5 )

3 = k

y = 3x ← equation of variation

when x = 12 , then

y = 3 × 12 = 36

The standard error represents the average deviation of the sample means from the true population mean. Rounding this value to four decimal places, the standard error of X¯¯¯ is approximtely 0.6500 mpg.

A smaller standard error indicates that the sample means are more likely to be close to the population mean.To calculate the standard error of X¯¯¯, the mean from a random sample of 25 fill-ups by one driver, we can use the formula:

Standard Error (SE) = σ / sqrt(n),

where σ is the standard deviation and n is the sample size.

In this case, the standard deviation (σ) is given as 3.25 mpg, and the sample size (n) is 25.

Plugging in these values into the formula, we have:

SE = 3.25 / sqrt(25).

Calculating the square root of 25, we get:

SE = 3.25 / 5.

Performing the division, we find:

SE ≈ 0.65.

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Linear equation for the data is  y = -300x + 1320.

A linear equation is an alzebraic equation of highest degree 1.

According to the given data

Weigh of male child's brain at the age of 1 is 970 grams and at the age of 3 it is 270 grams.

Here given that the relationship between weight (y) and age (x) is linear.

A linear equation can be written in the form y = ax + b and from the data we can write (x₁,y₁) = (1,970) and (x₂,y₂) = (3,270)

Where a is the slope.

We know that slope = (y₂-y₁)/(x₂-x₁)

∴ a = (270 - 970)/(3 - 1)

  a = -700/2

 a = -350

So, the equation now will be y = -350x + b

To find b we will plug the value of any of the two given pair of points

when x = 3, y = 270

∴ 270 = -350(3) + b

  b = 270 + 1050

  b = 1320

∴ y = -300x + 1320

So, the weight decreases at a rate of 350 grams per year.

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Answer:

B. 6/9 - 4/9

Step-by-step explanation:

Make sure each fraction has a common dominator

2/3 *3/3 = 6/9

4/9 = 4/9

6/9 - 4/9 = 2/9

Answer:

6/9 - 4/9, B

Step-by-step explanation:

The solution is, the correct option is, A.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

The translation of a sin function can be modeled by the form: P(t)=Asin(Bx+C)+D

Where:

A = the curve's amplitude (highest and lowest points)

The period = (2[pi])/ |B|

The phase shift (horizontal shift) = (-C)/B

D = vertical shift

By looking at the function we are given: P(t)=30sin(2[pi]t)+100,

We can see that the amplitude (the curve's highest and lowest points) = 30.

The phase shift (C) or in this case 't' = 0 (so there is no horizontal shift)

The period = 1

And D (the vertical shift) = 100

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Answer:

There were 120 employees prior to the layoffs.

Step-by-step explanation:

x is original amount of employees

0.7x=84

divide by 0.7 both sides

x=120 employees

downsize 30% is 36, 120-36=84

Therefore, the probability that Bob will be hit by a car while crossing the point A is 1 \(-e^{-4t}\) , where t is the time it takes him to cross the point A in seconds.

If the cars follow a Poisson process with rate 4 cars per minute, then the time between successive cars follows an exponential distribution with parameter λ = 4. Therefore, the probability density function of the time between cars is given by:

f(t) = λe^(-λt)

Since Bob takes t seconds to cross the point A, the probability that he will be hit by a car during this time is the probability that a car arrives within t seconds of his crossing, which is given by the cumulative distribution function:

F(t) = P(X ≤ t) = ∫[0, t] f(x)dx = ∫[0, t] 4e⁽⁻⁴ˣ⁾dx

Evaluating this integral, we get:

F(t) = \(-e^{-4t}\)

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Answer:

77 feet

Step-by-step explanation:

7feet × 11 feet = 77 feet

Answer:

38 minutes

Step-by-step explanation:

Yards covered in a minute = 4850/20 = 242.5

Time needed to cover 9215 yards = 9215/242.5 = 38 min

Answer:

Each tile would be 8.5 in

Step-by-step explanation:

Area of parallelogram is A=bh, so 4.25*2= 8.5

25% of 80 is 20

I hope this helps!!!

Answer:

25% of 80 is 20

Step-by-step explanation:

Adding and subtracting integrals is a fundamental technique in calculus that allows you to combine multiple integrals into a single expression. The process involves using the properties of integrals and the rules of algebra to simplify the expression.

How to add integrals?

To add two integrals, you simply add the integrands and integrate over the same limits of integration. For example, if you have two integrals, ∫f(x) dx and ∫g(x) dx

The sum of the two integrals would be

∫[f(x) + g(x)] dx

How to subtract integrals?

To subtract two integrals, you subtract the integrands and integrate over the same limits of integration. For example, if you have two integrals ∫f(x) dx and ∫g(x) dx

The difference of the two integrals would be ∫[f(x) - g(x)] dx

It's important to note that when adding or subtracting integrals, you must ensure that the limits of integration are the same. If they are not the same, you must first adjust one or both integrals to have the same limits of integration.

Another important point to keep in mind is that the properties of integrals allow you to simplify expressions before integrating. For example, if you have an integral of the form:

∫f(x) dx + ∫g(x) dx

You can simplify it as ∫[f(x) + g(x)] dx

before integrating.

In conclusion, adding and subtracting integrals is a straightforward process that involves using the rules of algebra and the properties of integrals. By following these techniques, you can simplify complex expressions and solve integration problems more efficiently.

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Correct question is "How to add and subtract integrals?"

Yes, based on the 99% confidence interval (0.297, 0.503), there is convincing evidence of a difference in the proportion of "big" bank customers who bank with more than one bank compared to the "small" customers who bank with more than one bank.

The confidence interval (0.297, 0.503) represents the range of values within which the true difference in proportions between the two customer groups is likely to fall with 99% confidence. Since the interval does not include zero (0), we can conclude that there is a statistically significant difference between the proportions.

To further explain, the confidence interval was constructed using the sample proportions and the standard error. The sample proportion for the "big" customers who bank with other banks is 160/200 = 0.8, and for the "small" customers, it is 120/300 = 0.4. The standard error takes into account the sample sizes and proportions, and it measures the uncertainty in the estimation.

Since the confidence interval does not include zero, it indicates that the true difference in proportions is unlikely to be zero. In other words, there is strong evidence that the proportion of "big" bank customers who bank with more than one bank is higher than the proportion of "small" customers who do the same.

Therefore, based on the provided data and the confidence interval, we can conclude that there is convincing evidence of a difference in the proportion of "big" bank customers who bank with more than one bank compared to the "small" customers who bank with more than one bank.

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Answer: Hmmmmmm

Explanation

Answer:

3(x + 5y) - 2(x + y)

3x + 15y - 2x - 2y

x + 13y

(3x + 15y) + (-2x + -2y)

x + 13y

Elena can make 20/3 cups of purple paint

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

WE are given that Elena makes her favorite shade of purple paint by mixing 3 cups of blue paint, 1 1/2 cups of red paint, and 1/2 cup of white paint.

Since Elena has 2/3 cup of white paint. then;

1 1/2 cups of red paint (1 1/2=1.5)

1/2 cup of white paint (1/2=0.5)

Then the ratio is 3:1.5:0.5

Means every 0.5 cups of white paint Elena makes 5 cups of purple paint (3+1.5+0.5)

Let x the number of cups of purple paint

5/ 0.5 = x / (2/5)

x = 20/3 cups of purple paint

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You would expect to pay $90 each month for electricity based on an average usage of 120 KWHs per month.

To calculate the monthly cost of electricity, you can multiply the average number of kilowatt-hours (KWH) used per month by the cost per KWH.

Given:

Cost per KWH: $0.75

Average monthly usage: 120 KWHs

To find the monthly cost, you can multiply the cost per KWH by the average monthly usage:

Monthly Cost = Cost per KWH * Average monthly usage

Plugging in the values, we have:

Monthly Cost = $0.75/KWH * 120 KWHs

Calculating the result:

Monthly Cost = $90

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the correct option is a. difference between the groups' averages, large absolute

I am trying to perform an A/B test to see if two samples come from the same underlying distribution. My alternative hypothesis is that the samples do not come from the same underlying distribution. The difference between the groups should be chosen as the test statistic averages  large absolute values of this statistic provide evidence in favor of the alternative hypothesis.

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The value of Sin 496.4° is 0.6896.

Trigonometry functions:

Trigonometry is a type of mathematics that deals with the specific function of angles and their application.

There are six functions of an angle used in trigonometry sine(sin), cosine(cos), tangent(tan), cotangent(cot), secant(sec) and cosecant(cosec). All these functions are based on the measurement of the triangle.

Given,

Sin 496.4°

Here we need to find the value of it.

While using the sine table,

The value of 496.4° = 0.6896

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The values in the table that represent the second piece of the function f(x) is the option;

A 2-column table has 3 rows. The first column is labeled x with entries 1, 2, 3. The second column ism labeled f(x) with entries 6, 4, 2

A function maps the values in the set of input variables to the values in the set of output variables.

The functions are presented as follows;

First row; f(x) = -3.5·x + 0.5; x < 1

Second row; f(x) = 8 - 2·x; When x ≥ 1

The second piece of the function is therefore;

f(x) = 8 - 2·x; When x ≥ 1

The possible values of x, which are values in the domain are; 1, 2, 3

The values of f(x), which are values in the range are therefore;

f(1) = 8 - 2 × 1 = 6

f(2) = 8 - 2 × 2 = 4

f(3) = 8 - 2 × 3 = 2

The values of x and f(x) are therefore;

x     \({}\) f(x)

1 \({}\)     6

2 \({}\)    4

3 \({}\)    2

The correct option that represents table for the second piece of the function, f(x) is therefore;

A 2-column table has 3 rows. The first column is labeled x with entries 1, 2, 3. The second column is labeled f(x) with entries 6, 4, 2

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Answer: C. or third chart

Step-by-step explanation:

Got it right!!

Answer:

45 grams

Step-by-step explanation:

1st order: 27 people

15 people:

100 g

Ginger: 20 g

Turmeric: 25 g

Coriander: 35 g

Cumin Seeds: 20 g

20+25+35+20=60+40=100

For 1 person:

Ginger: 1 1/3 g

Turmeric: 1 2/3 g

Coriander: 2 1/3 g

Cumin Seeds: 1 1/3 g

Multiply all that by 27

For 27 people:

Ginger: 36 g

Turmeric: 45 g

Coriander: 63 g

Cumin Seeds: 36 g

45 g for Turmeric

Answer:

Yes. The vertical line never touches the graph at more than one point at the same time.

Step-by-step explanation:

this is the plato and edmentum answer

(make sure this is the right question)

As the vertical line touches the graph of the equation y = 2x - 3 it is a function.

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

Given, An equation y = 2x - 3.

Now, If we draw a vertical line and it touches the graph at only one point

the equation is a function but if the vertical line touches the graph at more than two points the equation is not a function.

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Answer:

There is no sufficient evidence to support the claim

Step-by-step explanation:

From the question we are told that

     The level of significance is  \(\alpha = 0.05\)

     The  sample proportion is  \(\r p = 0.08\)

     The  sample size is  \(n = 250\)

Generally for normal sampling distribution can  be used

     \(n * p > 5\)

So  

     \(n* p = 250 * 0.12 = 30\)

Since  

     \(n * p > 5\) then  normal sampling distribution can  be used

The null hypothesis is  \(H_o : p = 0.12\)

  The alternative hypothesis is  \(H_a : p > 0.12\)

The  test statistic is evaluated as

            \(t = \frac{\r p - p }{ \sqrt{ \frac{p(1- p)}{n} } }\)

substituting values

            \(t = \frac{0.08 - 0.12 }{ \sqrt{ \frac{0.12 (1- 0.12)}{250 } } }\)

            \(t = -1.946\)

The  p-value is obtained from the z  table and the value is

        \(p-value = P(t > -1.9462) =0.97512\)

Since the \(p-value > \alpha\)

    Then we fail to reject the null hypothesis

Hence it means there is no sufficient evidence to support the claim

Answer:

t and u are supplementary as opposite angles of a cyclic quadrilateral.

t = 180 - (81 + 53) = 46

u = 180 - t = 180 - 46 = 134

v and w are equal as opposite angles to equal sides.

v = w = 1/2(180 - u) = 1/2(180 - 134) = 23

Step-by-step explanation:

The equation of the line in standard form is 3x + y - 4 = 0.

To find the equation of a line passing through two points, we can use the slope-intercept form of a linear equation, which is given by y = mx + b, where m is the slope and b is the y-intercept.

Given the points S(, 1) and T(, 4), we need to determine the slope (m) and the y-intercept (b).

The slope (m) can be found using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Substituting the values, we get:

m = (4 - 1) / ( - ) = 3 / ( - ) = -3

Now that we have the slope, we can substitute it into the equation y = mx + b and use one of the given points to solve for the y-intercept (b).

Using the point S(, 1):

1 = (-3)(1) + b

1 = -3 + b

b = 4

Therefore, the equation of the line passing through the points S and T is:

y = -3x + 4

Converting it to standard form Ax + By + C = 0, we rearrange the equation:

3x + y - 4 = 0

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