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Find PD, the north-south distance across the pond. Justify your answer. If necessary, round your answer to the nearest meter.
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Answer:

Step-by-step explanation:

To find the value of x, solve the equation. Do this by rearranging the equation to make x the subject.

Answer:

x=32761 /4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4x+7=32768

Step 2: Subtract 7 from both sides.

4x+7−7=32768−7

4x=32761

Step 3: Divide both sides by 4.

Answer:

Step-by-step explanation:

The missing reasons are Cofunction identity, Cosine difference identity, Cofunction identity, Cosine function is even and sine function is odd respectively.

Given:

The given expression is \(\sin (x-y)\).

To find:

The justification for each step.

Explanation:

Cofunction identities:

\(\sin\left(\dfrac{\pi}{2}-x\right)=\cos x\)

\(\cos\left(\dfrac{\pi}{2}-x\right)=\sin x\)

Cosine difference identity:

\(\cos(x-y)=\cos x\cos y+\sin x\sin y\)

Cosine function is even, so \(\cos(-x)=\cos x\).

Sine function is odd, so \(\sin(-x)=-\sin x\).

We have,

\(\sin (x-y)\)

\(=\cos\left|\dfrac{\pi}{2}-(x-y)\right|\)                                             Step 1: Cofunction identity

\(=\cos\left|\dfrac{\pi}{2}-x+y\right|\)                                                 Step 2: Distributive property

\(=\cos\left|\left(\dfrac{\pi}{2}-x\right)+y\right|\)                                            Step 3: Associative property

\(=\cos\left|\left(\dfrac{\pi}{2}-x\right)-(-y)\right|\)                                        Step 4: Factoring out   

\(=\cos\left(\dfrac{\pi}{2}-x\right)\cos(-y)+\sin\left(\dfrac{\pi}{2}-x\right)\sin(-y)\)       Step 5: Cosine difference identity

\(=\sin(x)\cos(-y)+\cos(x)\sin(-y)\)                           Step 6: Cofunction identity

\(=\sin(x)\cos(y)-\cos(x)\sin(y)\)                                Step 7: Cosine function is even, sine function is odd

Therefore, the missing reasons are Cofunction identity, Cosine difference identity, Cofunction identity, Cosine function is even, sine function is odd respectively.

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Answer:

the number is one

Step-by-step explanation:

7-1= 6

6-3=2

hope this help and could u give me brainliest, thanks!

Introduction (Kinda)

So you want to write the equation and find the number.

Writing the Equation

Well, the question says "A number s is subtracted from seven. When the result is divided by three, the quotient is two."

If a number s is being subtracted from seven.

7-s

When the result of 7-s is divided by three, the quotient is two. Since your effecting the result of 7-s, you have to put those in parentheses.

(7-s)

Your dividing 7-s by 3.

(7-s) / 3

When you do that, you get 2.

(7-s) / 3 = 2

This is the equation.

Finding the Number

Now you need to solve the equation.

(7-s) / 3 = 2

You need to isolate the s. "Remove" the numbers in opposite PEMDAS order...

Addition and Subtraction

Multiplication and Division

Exponents

Parentheses

7-s is in parentheses.

Divided by 3 is division. So you do that first.

You can multiply by 3 to cancel that out.

(7-s) / 3 × 3 = (7-s)

2 × 3 = 6

7-s = 6

Now that 7-s is on its own side, you can remove the parentheses.

So now to cancel the 7, you subtract 7 from each side (of the equation).

7-s-7 = -s

6-7 = -1

-s = -1

Now to cancel the negative signs, multiply each side by -1.

-s × -1 = s

-1 × -1 = 1

s = 1

Final Answer

The equation is...

(7-s) / 3 = 2

The number is...

1

Answer:

a) 0

b) 1

c)3

d) 1

Step-by-step explanation:

plz mark me brainlist

Answer: 3 (I think)

Step-by-step explanation: 3 is 3/1 as a fraction sooooo

Answer:

3.14 x y =

Step-by-step explanation:

6.88

Answer:

4 4/9

Step-by-step explanation:

To assess the researcher's belief that households with different job types have different total weekly expenditures, a suitable statistical test to use is the Analysis of Variance (ANOVA) test. ANOVA is used to compare the means of three or more groups to determine if there are significant differences between them.

In this case, the researcher wants to compare the total weekly expenditures of households with different job types. The job type variable would be the independent variable, and the total weekly expenditure would be the dependent variable.

Null Hypothesis (H₀): There is no significant difference in the mean total weekly expenditure among households with different job types.

Alternative Hypothesis (H₁): There is a significant difference in the mean total weekly expenditure among households with different job types.

Symbols:

μ₁, μ₂, μ₃, ... : Population means of total weekly expenditure for each job type.

X₁, X₂, X₃, ... : Sample means of total weekly expenditure for each job type.

n₁, n₂, n₃, ... : Sample sizes for each job type.

Assumptions for ANOVA:

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Answer:

ang hirap naman plss answee

The measurement of central tendency is a statistical measure that describes the center or average value of a dataset. Common measures of central tendency include the mean, median, and mode.

In this case, if the measurement 240 (the largest measurement in the data set) were replaced by 350, the following measures of central tendency would be affected:

1. Mean: The mean is calculated by summing all the values in the dataset and dividing by the number of values. Since the replacement value (350) is significantly larger than the other values, it would increase the sum and affect the calculation of the mean.

2. Median: The median is the middle value in an ordered dataset. Since the replacement value (350) is larger than the original largest value (240), it would affect the position of the median.

3. Mode: The mode is the value that appears most frequently in a dataset. Since the replacement value (350) is different from all other values, it would not affect the mode if there was no repeated value before the replacement.

Therefore, the measures of central tendency that would be affected by the change are the mean and median. The mode would only be affected if there was a repeated value before the replacement.

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Null hypothesis, \(H_{0}\) P.1 = P2 (The proportion of tablets owned by men and women are equal.)

Alternative hypothesis,\(H_{0}\)  P1\(\neq\)P2 (The proportion of tablets owned by men and women are not equal.)

Sample proportion for men who own tablets  ≈0.433

Sample proportion for women who own tablets ≈0.466

p value of the test  is 0.3320.

Test whether the survey results provide evidence of a difference in the proportion owning a tablet between men and women.

Let p, be the proportion of all men who own tablets and p, be the proportion of all women who own tablets.

Null hypothesis, \(H_{0}\) P.1 = P2 (The proportion of tablets owned by men and women are equal.)

Alternative hypothesis,\(H_{0}\)  P1\(\neq\)P2 (The proportion of tablets owned by men and women are not equal.)

The notations for the sample statistic are  p p1 p2

Pooled proportion p = \(\frac{x_{1}+x_{2} }{n_{1}+n_{2} }\)= 197+235/455+504

                                               ≈ 0.45

Sample proportion for men who own tablets,

                               p1 = \(\frac{x_{1} }{n_{1} }\)= 197/455

                                           ≈0.433

Sample proportion for women who own tablets,

                              p2 = \(\frac{x_{2} }{n_{2} }\) = 235/506

                                          ≈0.466

Since p1<p2  women group has higher tablet ownership.

Sample statistic, p1-p2

                          = 0.433-0.466

p value of the test  is 0.3320.

In mathematics, statistics deals with the study of surveys and reports of numerical data. For questions, we need to define a hypothesis. In general, there are two types of hypotheses. One is the null hypothesis and the other is the alternative hypothesis.

In probability and statistics, the null hypothesis is the general statement or default state that  zero  or nothing will happen. For example, there is no association between groups or no association between two measured events. Here, a hypothesis is generally assumed to be true until  other evidence is presented to disprove the hypothesis.

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Step-by-step explanation:

Answer:

I think the y= (-7)

The scientific notation for the answer to 1.9×10⁷*3×10⁶ is 5.7×10¹³.

An exponent is a number or letter placed above and to the right of the base of a mathematical statement. It denotes that the base will be raised to a specific level of power. Exponents are classified into four types: positive, negative, zero, and rational. Positive exponents indicate how many times a base may be multiplied by itself. The number of times a number is multiplied by itself is referred to as its exponent. For instance, 2 to the third (written as 23) means: 2 x 2 x 2 = 8. 2 x 3 = 6 does not equal 23. Keep in mind that a number raised to the power of one is itself.

Here,

=1.9×10⁷*3×10⁶

=5.7×10⁽⁷⁺⁶⁾

=5.7×10¹³

The scientific notation for the result of 1.9×10⁷*3×10⁶ is 5.7×10¹³.

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Answer:

yesjndndkkwkdkdndkiskdn

Answer:

3.50 on each cuz 15-8=7 and 7÷2= 3.5 or 3.50

Answer:

vertex is (6, -11)

Step-by-step explanation:

Given equation
f(x) = x² - 12x + 25

is that of an upward-facing parabola(since the coefficient of x² is positive).

The vertex will be at a minimum and its x-coordinate can be found by finding the first derivative of f(x), setting it equal to zero and solving for x

f'(x) = d/dx(x² - 12x + 25)

= 2x - 12

f'(x) = 0 ==> 2x - 12 = 0

2x = 12

x = 6

Substitute x = 6 in f(x) to get

f(6) = 6² - 12(6) + 25

= 36 - 72 + 25

= -11

So the vertex is at (6, -11)

Answer:

33

Step-by-step explanation:

Addition

Answer:

0.28

(1 / 5) + (2 / 25) = 0.28

Answer:232 inch^2

Step-by-step explanation:to solve, add the surface area of each side. Remember, there are 3 pairs of sides and the pairs have equal area. Area =length x length. So we have 2x(8x2)+2x(2x10)+2x(10x8) in square inches.

Answer:

30%

Step-by-step explanation:

Given data

Area of Home= 2,200 square feet

Area of wood flooring=  660 square feet

The percent of wood flooring in the house can be gotten as

=660/2200*100

=0.3*100

= 30%

Hence the wooden floor occupies 30%.

Yes, there is evidence at the 0.1 level that the boards are too long and need to be trimmed.

In this scenario, we will use a one-sample t-test to determine if there is evidence that the boards are too long. The null hypothesis (H0) is that the mean height of the boards is equal to 2784 millimeters, and the alternative hypothesis (H1) is that the mean height is greater than 2784 millimeters (indicating the boards are too long).
H0: μ = 2784 mm
H1: μ > 2784 mm
Given the sample mean of 2788.4 millimeters and the standard deviation of 10, we can calculate the t-value using the formula:
t = (Sample Mean - Population Mean) / (Standard Deviation / √Sample Size)
t = (2788.4 - 2784) / (10 / √31) ≈ 2.13
Now, we compare the calculated t-value with the critical t-value for a one-tailed test at a 0.1 significance level with 30 degrees of freedom (sample size - 1). The critical t-value for this test is approximately 1.31.

Since the calculated t-value (2.13) is greater than the critical t-value (1.31), we reject the null hypothesis in favor of the alternative hypothesis. There is evidence at the 0.1 level that the boards are too long and need to be trimmed.

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Answer:

2x^2 + x + 9 + (18/(x+2))

Step-by-step explanation:

To find the result when 2x^3 - 5x^2 - 9x + 18 is divided by x + 2 using the long division method, you can follow these steps:

Divide the first term of the dividend (2x^3) by the first term of the divisor (x). The result is 2x^2.

Multiply the divisor (x + 2) by 2x^2. The result is 2x^3 + 4x^2.

Subtract this result from the dividend (2x^3 - 5x^2 - 9x + 18). The result is -x^2 - 9x + 18

Bring down the next term of the dividend (-5x^2) and add it to the result from step 3. The result is -6x^2 - 9x + 18

Divide -6x^2 by -6x and the result is x.

Multiply the divisor by x. The result is x^2 + 2x

Subtract this result from the result of step 4. The result is -9x + 18

Bring down the next term of the dividend (-9x) and add it to the result from step 7. The result is -18x + 18

Divide -18x by -18 and the result is x

Multiply the divisor by x. The result is x^2 + 2x

Subtract this result from the result of step 8. The result is 18

Therefore, the quotient is 2x^2 + x + 9 and the remainder is 18

So the result when 2x^3 - 5x^2 - 9x + 18 is divided by x + 2 is 2x^2 + x + 9 + (18/(x+2))

The possible 3rd degree binomial with a constant term of 888 is x^3 + 2x^2 + 3x + 888, for the given one degree of freedom.

To find a 3rd degree binomial with a constant term of 888, we can start by writing the general form of a 3rd degree binomial: ax^3 + bx^2 + cx + d.

Since we want the constant term to be 888, we can set d = 888.

Now, we need to choose values for a, b, and c. We have one degree of freedom, so we can choose any values for a, b, and c as long as they satisfy the condition of being a 3rd degree binomial.

For example, let's choose a = 1, b = 2, and c = 3.

Therefore, a possible 3rd degree binomial with a constant term of 888 is x^3 + 2x^2 + 3x + 888.

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Answer:

\(\sqrt{169} =13\)

Each side is 13 feet

The length of one side of Ally's square backyard is 13 feet.

The area of Rectangle is length times of width.

If Ally's backyard is a square with an area of 169 square feet, then the area formula for a square tells us that the area (A) is equal to the square of the length of one side (s), i.e., A = s².

So, we can solve for the length of one side by taking the square root of both sides of the equation:

s² = A

s = √A

Substituting the given value for the area of the backyard, we get:

s = √169

s = 13

Therefore, the length of one side of Ally's square backyard is 13 feet.

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If Lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when Lisa maximizes her utility she will buy both goods until the marginal utility of veggie burgers is three times the marginal utility of soy milk.

Therefore, if Lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when Lisa maximizes her utility she will buy both goods until the marginal utility of veggie burgers is three times the marginal utility of soy milk.

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Answer:

2 x 11

Step-by-step explanation:

Hope that helps!!!!

-scsb17hm

Answer:

2•11

Step-by-step explanation:

2 and 11 are both prime numbers and can be multiplied together to get 22

Approximately 68% of the cases in a normal distribution are between 0.5 standard deviations above and below the mean.

To find the percentage of cases that are between 0.5 standard deviations above and below the mean, we can add these two probabilities:

34% + 34% = 68%

The normal distribution, also known as the Gaussian distribution or the bell curve, is a probability distribution that is widely used in statistics, science, and engineering. A bell-shaped curve that is symmetrical around the mean value best describes the distribution. The distribution's mean, median, and mode are all equal, and the standard deviation defines the curve's width.

Height, weight, IQ, and measurement mistakes are only a few examples of the numerous random variables and natural phenomena that follow the normal distribution. In addition, the central limit theorem predicts that regardless of the underlying distribution of the variables themselves, the total or average of several independent random variables with similar distributions will converge to a normal distribution. Because of this characteristic, the normal distribution is a key idea in inferential statistics and hypothesis testing.

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Complete Question:-

What percentage of cases in a normal distribution are between 0.5 standard deviations above and below the mean? Give one percentage.

The meaure of the exterior angle to ∠X is found to be 84.13°.

Given;

In triangle XYZ,

m∠Y = 45. 43°

m∠Z = 38. 7°

We know that, the sum of three angles of a triangle is 180° ,

Therefore,

∠X + ∠Y + ∠Z = 180°

⇒ ∠X + 45.43 + 38.7 = 180

⇒ ∠X + 84.13 = 180

⇒ ∠X = 95.87

∴  ∠X = 95.87

Now, we have to find the exterior angle to ∠X

As we know, the ∠X and the exterior angle to ∠X will on a straight line.

So, ∠X + exterior angle to ∠X = 180°

   ⇒ 95.87 +  exterior angle to ∠X = 180

   ⇒ exterior angle to ∠X  = 84.13

∴ exterior angle to ∠X  = 84.13°.

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Answer: 7 Hours

Step-by-step explanation: 30 x 14(days)=420(mintue)/60( 1 hour)=7

Answer:

√3+√2 = 3.15

Step-by-step explanation:

because you can't square root those two so it will be a decimal

Answer:

a=14

Step-by-step explanation:

-a+28=14

So -a=-14

so a=14