if if x equals 3 and Y equals negative 2 - x 3 - Y2 ​

Answer:

75

Step-by-step explanation:

If you add all up, it will equal to 645

Hexagon's interior angles equal to 720 so,

720-645=75

Answer:

x = 24

Step-by-step explanation:

First, substitute x = -6y into the top equation:

-6y + 3y = 12

-3y = 12

Divide both sides by -3, and you get:

y = -4

Now, you plug in the y value to the second equation:

x = -6(-4)

x =24

Given :

\({ \longrightarrow\qquad \sf x + 3y = 12 \: –––– \sf \: (i)}\)

⠀

\({ \longrightarrow\qquad \sf x = - 6y \: –––– \sf \: (ii)}\)

⠀

(i) – (ii) we get :

⠀

\({ \longrightarrow \qquad \sf \: {x + 3y -x = 12 - ( - 6y)}}\)

⠀

\({ \longrightarrow \qquad \sf \: { \cancel{x} + 3y \: \cancel{ - \: x }= 12 + 6y}}\)

⠀

\({ \longrightarrow \qquad \sf \: { 3y - 6y = 12 }}\)

⠀

\({ \longrightarrow \qquad \sf \: { - \: 3y = 12 }}\)

⠀

\({ \longrightarrow \qquad \sf {- \: y = \dfrac{12}{3} }}\)

⠀

\({ \longrightarrow \qquad \bf \: { y = - \: 4 }}\)

⠀

Now, Substituing the value of y in equation (i) :

⠀

\( \longrightarrow \qquad \sf{x + 3( - 4)= 12}\)

⠀

\( \longrightarrow \qquad \sf{x - 12= 12}\)

⠀

\( \longrightarrow \qquad \sf{x = 12 + 12}\)

⠀

\(\longrightarrow \qquad \bf{x = 24}\)

⠀

Therefore,

To determine whether there is enough evidence to reject the null hypothesis, we need to compare the computed test statistic to the critical value.

In this case, the computed test statistic is 2.50 and the critical value is 2.33. If the computed test statistic falls in the rejection region beyond the critical value, we can reject the null hypothesis. Conversely, if the computed test statistic falls within the non-rejection region, we fail to reject the null hypothesis.In this scenario, since the computed test statistic (2.50) is greater than the critical value (2.33), it falls in the rejection region. This means that the observed data is unlikely to occur if the null hypothesis were true.

Therefore, based on the given information, there is enough evidence for the emergency room nurse to reject the null hypothesis. This suggests that there is sufficient evidence to support the claim that the average number of cases of upper respiratory infections per day at the hospital is over 21 cases.

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There is enough evidence to reject the null hypothesis in this case because the computed test statistic (2.50) is higher than the critical value (2.33). This suggests the average number of daily respiratory infections exceeds 21, providing substantial evidence against the null hypothesis.

Yes, there is enough evidence for the emergency room nurse to reject the null hypothesis. The null hypothesis is typically a claim of no difference or no effect. In this case, the null hypothesis would be an average of 21 upper respiratory infections per day. The test statistic computed (2.50) exceeds the critical value (2.33). This suggests that the average daily cases indeed exceed 21, hence providing enough evidence to reject the null hypothesis.

It's crucial to understand that when the test statistic is larger than the critical value, we reject the null hypothesis because the observed sample is inconsistent with the null hypothesis. The statistical test indicated a significant difference, upheld by the test statistic value of 2.50. The significance level (alpha) of 0.05 is a commonly used threshold for significance in scientific studies. In this context, the finding suggests that the increase in respiratory infection cases is statistically significant, and the null hypothesis can be rejected.

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Choose:

Increase the likelihood of rejecting the null hypothesis and increase measures of effect size.

The t statistic is the ratio of the calculated deviation of a parameter from its hypothesized value with its standard error.

In general, the likelihood of discovering a significant difference increases as the variance of the difference scores increases. A limited variation for the difference scores in a repeated-measures study suggests that the treatment has little or no effect.

Increasing the number of scores within each sample reduces the predicted standard error of the mean difference. This increases the size of the observed t, making it easier to reject the null hypothesis H0. In other words, when sample size increases, statistical power increases.

Higher t-value corresponds to a lower p-value, indicating that the difference between sample-mean (Χ) and population-mean (μ) is statistically significant (hence we reject the null hypothesis).

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Answer:

You graph each equation, then you find the intercepting point. the location of that point is the answer. You can also do it in equation form.

Answer:

twice as many residents use techy than use upstart

Step-by-step explanation:

edg 2023

The probability of a student spending time reading given that the student spends time watching TV is  \(P(Reading|Watching\:\:TV)=0.12\)

If any two occurrences in sample space S, A and B, are specified, then the conditional probability of event A given B is:

\(P(A|B)=\frac{P(A\:and\:B)}{P(B)}\)

Probability theory is an important branch of mathematics that is used to model and analyze uncertain events in various fields, including science, engineering, finance, and social sciences. The concept of probability is based on the idea of random experiments, where the outcomes are uncertain and can vary each time the experiment is performed.

The probability of an event can be determined by analyzing the possible outcomes of the experiment and assigning a probability to each outcome based on the assumptions of the model. The theory of probability has several applications in real life, such as predicting the outcomes of games of chance, evaluating risks in insurance and finance, and making decisions in scientific research.

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Answer:

1c 2a 3b

Step-by-step explanation:

step 1 is c

step 2 is a

step 3 is b

We can solve this problem using the method of Lagrange multipliers. We need to maximize the function f(x, y, z) subject to the constraint g(x, y, z) = x + y + z = 1. We can set up the Lagrangian function L(x, y, z, λ) as follows:

L(x, y, z, λ) = f(x, y, z) - λg(x, y, z)

= 5xy + 5xz + 5yz - xyz - λ(x + y + z - 1)

To find the critical points of L, we need to take partial derivatives of L with respect to x, y, z, and λ, and set them equal to zero:

∂L/∂x = 5y + 5z - yz - λ = 0

∂L/∂y = 5x + 5z - xz - λ = 0

∂L/∂z = 5x + 5y - xy - λ = 0

∂L/∂λ = x + y + z - 1 = 0

From the first three equations, we can solve for x, y, and z in terms of λ:

x = (λ - 5y - 5z)/(5 - yz)

y = (λ - 5x - 5z)/(5 - xz)

z = (λ - 5x - 5y)/(5 - xy)

Substituting these expressions into the constraint equation x + y + z = 1, we get:

(λ - 5y - 5z)/(5 - yz) + (λ - 5x - 5z)/(5 - xz) + (λ - 5x - 5y)/(5 - xy) = 1

Simplifying this equation, we get:

λ(3xyz - 5(xy + xz + yz)) = -125

Since x, y, and z are positive, we know that 3xyz > 0, so we can divide both sides by 3xyz to get:

λ = -125/(5(xy + xz + yz))

Substituting this expression for λ back into the equations for x, y, and z, we get:

x = 5/3

y = 5/3

z = 1/3

We can check that these values satisfy the constraint equation x + y + z = 1 and that they correspond to a maximum of f(x, y, z) by computing the second partial derivatives of L and evaluating them at the critical point:

∂²L/∂x² = -yz, ∂²L/∂y² = -xz, ∂²L/∂z² = -xy, ∂²L/∂x∂y = 5 - z, ∂²L/∂x∂z = 5 - y, ∂²L/∂y∂z = 5 - x

The determinant of the Hessian matrix of L evaluated at the critical point is:

∂²L/∂x²(∂²L/∂y²)(∂²L/∂z²) + 2∂²L/∂x∂y(∂²L/∂x∂z)(∂²L/∂y∂z) - (∂²L/∂x²)(∂²L/∂y∂z)²

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the distance on the

coordinate plane between the

points (-2, 16) and (-2,-5) is 21

Answer:

3 dollars

Step-by-step explanation:

5 cans= 15 dollars

1 can = 15/5= 3

3 dollars

Answer:

x+23+80=4x+17

x+103=4x+17

103-17=4x-x

86/3=x

x=28.66

Step-by-step explanation:

Answer:

3a

Step-by-step explanation:

Answer:

x = tan⁻¹(⅘)

Step-by-step explanation:

We can solve for x by using trigonometric ratios (sin, cos, and tan)

We need to apply the appropriate ratio that uses the two sides 8 and 10 from the perspective of x. See attached image for information about ratios. (Source: Math is Fun)

The tangent ratio is opposite divided by adjacent. It will relate x to the two sides. So we would write

tan(x) = ⁸⁄₁₀

Then we simplify and move the tan to the other side by multiplying both sides by the inverse of tan (since you cannot divide by tan)

tan(x) = ⅘

x = tan⁻¹(⅘)

Then we can use a calculator to evaluate x

If you want to find y, now that you have two angles of the triangle, you can find the sum of 90 + x and subtract that from 180 (since all angles of a triangle add up to 180) to find y.

The given data sample contains all integers from 530 to 380 and all integers from 379 to 531. This means that the sample includes 152 integers in total. To find the mean of the sample, we need to add up all the numbers and divide by the total number of integers.

To do this, we can take the average of the two endpoints (530 and 380), which is 455. Then we can add the sum of the integers between 380 and 530, which is (530-381+1) + (530-379) = 150 + 151 = 301. Finally, we divide the total sum by the number of integers, which is 152, and get:

Mean = (455 + 301) / 152 = 3.980263158

Therefore, the mean of the given data sample is approximately 3.9803.

In summary, we can find the mean of a sample by adding up all the numbers and dividing by the total number of items. In this particular sample, we first found the average of the two endpoints and then added the sum of all the integers between them to find the total sum. Finally, we divided the total sum by the number of integers to find the mean of the sample.

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Answer:

Step-by-step explanation:

1. area of square=10²=100 cm²

area of circle=πr²=π×2.5²=6.25π cm²

reqd. area=100-6.25π ≈80.375 cm²

2.

area of circle=π×2.5²=6.25π≈6.25×3.14≈19.625 cm²

area of rectangle=4×3=12 cm²

reqd. area=19.625-12≈7.625 cm²

3.

area of two circles=2×π×3²=18π≈18×3.14≈56.52 cm²

area of square=12²=144 cm²

reqd. area=144-56.52≈87.48 cm²

4.

area of smaller circle=π×4²=16π cm²

area of bigger circle=π×8²=64π cm²

area of two circles=16π+64π=80π cm²

diameter of bigger circle=4+4+8+8=24 cm

diameter of biggest circle=π×12²=144π

area of shaded region=144π-80π=64π≈200.96 cm²

Answer:

  2.7 < x < 12.3 meters

Step-by-step explanation:

You want to know the possible lengths of the third side of a triangle, given that two sides are 7.5 m and 4.8 m.

The triangle inequality requires the sides of a triangle have the relationship ...

  a + b > c

for any assignment of side lengths to the letters a, b, c. In effect, this means the length of a third side must lie between the sum and the difference of the other two sides.

  7.5 -4.8 < x < 7.5 +4.8

  2.7 < x < 12.3 . . . . . meters

No, should a researcher ever use chi-square to examine the relationship between two variables that are interval level and normally distributed

No, a researcher not uses a chi-square test to examine the relationship between two variables that are interval level and normally distributed. The chi-square test is used to analyze the association between two categorical variables, not interval-level variables.

For interval-level variables that are normally distributed, a more appropriate statistical test to examine the relationship or association would be a correlation analysis, such as Pearson's correlation coefficient. Pearson's correlation measures the strength and direction of the linear relationship between two continuous variables.

The chi-square test is specifically designed for categorical variables and assesses whether there is a significant association or dependency between them. It compares the observed frequencies in different categories to the frequencies that would be expected if the variables were independent.

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Answer:

x + 1/3

Step-by-step explanation:

It just basically the average of the three expressions

=> Remember to divide the expressions into 2 groups (the x group which contains x in it, and the numeral group which doesn't contains x)

The x group: (4x + 7x + (-8x)) /3 = x

The numeral group: (5 +(-6) + 2) /3 = 1/3

So the answer must be x + 1/3, not x + 1

(I hope this is helpful)

Answer:

second option

Step-by-step explanation:

the average is calculated as

average = \(\frac{sum}{count}\)

              = \(\frac{4x+5+7x-6-8x+2}{3}\)

              = \(\frac{3x+1}{3}\)

              = \(\frac{3x}{3}\) + \(\frac{1}{3}\)

              = x + \(\frac{1}{3}\)

Answer:

AC = 16.6

Step-by-step explanation:

Use sine rule

9.2 / sin(180-90-61) = AC/ sin(61)

The probability that both selected pairs of socks are white is 1/3.

We have a drawer. The drawer contains 10 pairs of socks. Six out of ten pairs of socks are white. We randomly selected two pairs of socks. We need to find the probability that both selected pairs of socks are white. Let the probability be represented by the variable "P". To select the first pair of white socks, the chances are six out of ten. Once the first pair is selected, the chances of selecting the second white pair of socks are five out of nine.

P = (6/10)*(5/9) = 1/3

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Answer:

I have solved it u can have a look.

Answer:

the time needed to get to the arch is 6 per hour

Step-by-step explanation:

The computation of the time needed to get to the arch is shown below:

As we know that

Speed = distance ÷ time

where,

Speed is 65 miles per hour

And, the distance is 390 miles

So, the time is

= 390 ÷ 65

= 6 per hour

Hence, the time needed to get to the arch is 6 per hour

We simply applied the above formula so that the correct value could come

And, the same is to be considered  

(a)  It takes approximately 3.03 seconds for the object to reach the ground. (b) The object's final velocity as it impacts the ground is approximately 26.59 m/s downward. (c)  The time would still be approximately 3.03 seconds.

To solve these problems, we can use the equations of motion for vertical motion under constant acceleration. Assuming the object is subject to the acceleration due to gravity (g ≈ 9.8 m/s²), we can find the answers to the given questions.

(a)  We can use the equation of motion:

y = y₀ + v₀yt - (1/2)gt²

where:

y = final position (0 m when it reaches the ground)

y₀ = initial position (25 m)

v₀y = initial velocity (7 m/s)

t = time (unknown)

Rearranging the equation, we have:

0 = 25 + 7t - (1/2)(9.8)t²

Simplifying:

0 = 25 + 7t - 4.9t²

Rearranging and setting the equation equal to zero:

4.9t² - 7t - 25 = 0

Solving this quadratic equation using the quadratic formula:

t = (-b ± √(b² - 4ac)) / 2a

where:

a = 4.9

b = -7

c = -25

Plugging in the values:

t = (-(-7) ± √((-7)² - 4(4.9)(-25))) / (2 * 4.9)

Simplifying:

t = (7 ± √(49 + 490)) / 9.8

t = (7 ± √539) / 9.8

Since we're looking for the time it takes for the object to reach the ground, we'll only consider the positive value:

t ≈ 3.03 seconds

Therefore, it takes approximately 3.03 seconds for the object to reach the ground.

(b) We can use the equation of motion:

v = v₀y - gt

where:

v = final velocity (unknown)

v₀y = initial velocity (7 m/s)

t = time (3.03 seconds)

Plugging in the values:

v = 7 - 9.8 * 3.03

v ≈ -26.59 m/s

The negative sign indicates that the velocity is directed downward. Therefore, the object's final velocity as it impacts the ground is approximately 26.59 m/s downward.

(c)  If you throw the object downward with the same initial velocity, the time it takes to reach the ground will remain the same. Therefore, the time would still be approximately 3.03 seconds.

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Answer:

The first one

Step-by-step explanation:

A filled in circle means equal to and a blank circle means less than or more than

12 fluid ounces is approximately equal to 354.882 milliliters, which is very close to the stated value of 355 milliliters.

The two measurements, 12 fluid ounces (FL OZ) and 355 milliliters (ML), are very nearly equivalent.

To verify this, we can use the conversion factor that 1 fluid ounce is equal to 29.5735 milliliters.

Using this conversion factor, we can convert 12 fluid ounces to milliliters:

12 FL OZ x (29.5735 ML/1 FL OZ) = 354.882 ML

Therefore, 12 fluid ounces is approximately equal to 354.882 milliliters, which is very close to the stated value of 355 milliliters.

This demonstrates that the two measurements are nearly equivalent and can be used interchangeably when measuring the volume of the can of lemonade.

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The values of p for which the series ∑(n=1)^(∞) ((-1)^n / (n^p)) converges conditionally are p > 0.

To determine the values of p for which the series ∑(n=1)^(∞) ((-1)^n / (n^p)) converges conditionally, we can apply the alternating series test.

According to the alternating series test, a series of the form ∑((-1)^n * b_n) converges conditionally if:

1. The terms b_n are positive and decreasing (|b_n+1| ≤ |b_n|), and

2. The limit of b_n as n approaches infinity is 0 (lim(n→∞) b_n = 0).

In this case, our terms are b_n = 1 / (n^p). Let's check these conditions:

1. The terms are positive and decreasing:

  To satisfy this condition, we need to show that |(1 / ((n+1)^p))| ≤ |(1 / (n^p))| for all n.

  Taking the ratio of consecutive terms:

  |(1 / ((n+1)^p)) / (1 / (n^p))| = (n^p) / ((n+1)^p) = (n / (n+1))^p.

Since (n / (n+1)) is less than 1 for all n, raising it to the power p will still be less than 1 for p > 0. Therefore, the terms are positive and decreasing.

2. The limit of the terms as n approaches infinity is 0:

  lim(n→∞) (1 / (n^p)) = 0 for p > 0.

Based on the conditions of the alternating series test, the series converges conditionally for p > 0.

Therefore, the values of p for which the series ∑(n=1)^(∞) ((-1)^n / (n^p)) converges conditionally are p > 0.

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Using the slope and y - intercept, the linear function that models this problem is y = -33.333x + 68.32

A system of linear equation is a set of at least two linear equations containing the same set of variables. Linear equations use only polynomial coefficients and the operations of addition, subtraction, multiplication and division. The solutions to a linear equation system are the values of the variables which make all the equations true.

To solve this problem, we have to define our variables and set our system of linear equations.

Let;

Using the data given, we can find the slope and y - intercept of a linear function that represents this.

slope (m) = y₂ - y₁ / x₂ - x₁

m = 64.99 - 59.99 / 0.10 - 0.25

m = -33.333

Using the slope in the slope-intercept form of a linear equation

y = mx + c

Taking one point;

59.99 = -33.333(0.25) + c

c = 68.32

The linear equation can be written as;

y = -33.33x + 68.32

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