On a family vacation, Aaron took 1,276 digital photos. His twin sister Ashley took 4 times as many as Aaron. Write and solve an equation to find p, the number of photos that Ashley took

Answer:

SPEED ANSWER!!!!

In this question, we are asked to determine the truth-values of two statements involving sets A and B. For each statement, we need to determine if it is true or false. If it is false, we need to provide specific counterexamples by choosing appropriate sets A and B.

a. (A\B) ⊆ A

The statement (A\B) ⊆ A is true for any sets A and B. This is because the set difference (A\B) contains elements that are in A but not in B. Therefore, by definition, every element in (A\B) is also an element of A. There are no counterexamples to this statement.

b. A^c ⊆ (AUB)

The statement\(A^c\) ⊆ (AUB) is true for any sets A and B. This is because the complement of A, denoted as \(A^c\), contains all elements that are not in A.

On the other hand, the union of A and B, denoted as (AUB), contains all elements that are in A or in B or in both.

Since the complement of A contains all elements not in A, it includes all elements in B that are not in A as well.

Therefore, \(A^c\) ⊆ (AUB) holds true for any sets A and B. There are no counterexamples to this statement.

In conclusion, both statements are true for any sets A and B, and there are no counterexamples.

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The calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.



To determine the number of significant figures in a calculation, we follow the rules for significant figures:

1. Addition and subtraction: The result should have the same number of decimal places as the measurement with the fewest decimal places.
2. Multiplication and division: The result should have the same number of significant figures as the measurement with the fewest significant figures.

Let's break down the calculation step by step:
\(9.04-8.23+21.954+81.0\) yields \(104.764\).

Now, multiplying this result by \(3.1416\) gives \(329.5719744\).

The measurement with the fewest significant figures in the calculation is \(3.1416\), which has 5 significant figures.

According to the rule for multiplication and division, the result should have the same number of significant figures as the measurement with the fewest significant figures. Hence, the result, \(329.5719744\), will be rounded to 4 significant figures.

Therefore, the calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.

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Answer:

Step-by-step explanation:

A: 2/3 - 1/8 = 16/24 - 3/24 = 13/24  which is greater than 1/3. 8/24 = 1/3

B: 5/6 - 1/4 = 20/24 - 6/24 = 14/24 which is greater than 1/3. 8/24 = 1/3

C: 10/15 - 6/15 = 4/15. 5/15 = 1/3. This is smaller than 1/3

D: 1 1/4 - 1 1/8 = 1/8 which is less than 1/3

Answer: A and B

The length of side b is 56m, angle A is 45°, and angle C is 67°.

In the given triangle with side lengths a = 74m, b ≈ 56m, and c = 36m, the length of side b is approximately 56m.

To solve the triangle, we can use the Law of Cosines and the fact that the sum of angles in a triangle is 180 degrees. Given angle B = 67°51', we have:

Using the Law of Cosines, we have:

b² = a² + c² - 2ac * cos(B)

Substituting the known values:

b² = 74² + 36² - 2 * 74 * 36 * cos(67°51')

Calculating the value of b:

b ≈ √(74² + 36² - 2 * 74 * 36 * cos(67°51'))

b ≈ 55.92m (rounded to the nearest whole number, b ≈ 56m)

Using the Law of Cosines again, we have:

cos(A) = (b² + c² - a²) / (2 * b * c)

Substituting the known values:

cos(A) = (56² + 36² - 74²) / (2 * 56 * 36)

Calculating the value of A:

A = cos⁻¹((56² + 36² - 74²) / (2 * 56 * 36))

A ≈ 45° (rounded to the nearest whole number)

Using the fact that the sum of angles in a triangle is 180 degrees:

C = 180° - A - B

Substituting the known values:

C ≈ 180° - 45° - 67°51'

Calculating the value of C:

C ≈ 67°9' (rounded to the nearest whole number, C ≈ 67°)

Therefore, in the given triangle, the length of side b is approximately 56m, angle A is approximately 45°, and angle C is approximately 67°.

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Answer:

$573.75

Step-by-step explanation:

625.00x15%=93.75

625.00-93.75=531.25

531.25x8%=42.50

531.25+42.50=573.75

Answer: I think that the answer is $573.75

please correct me if im wrong.

Step-by-step explanation:

Answer:

The Answer is 1900.

Answer:

9100

Step-by-step explanation:

multiply the one percent by 100 to get the 100 percent

Answer:

For the column "Slope Intercept", the graph is displaying y = -7/2x + 3. Because the line is going down 7 units and to the right 2 units, and the 3 is the point in which the line crosses the y-axis.

For the "Standard" column, it will be

7x + 2y = 6, because that's what it would look like in standard form. (To turn it from standard to slope intercept form, remember you must first subtract 7x on both sides to get 2y = -7x + 6, and then divide by 2 on both sides to get

y = -7/2x + 3.)

For column "Point Slope", I just realized you are supposed to pick a point on the line and plug the coordinates into this formula:⤵⤵⤵

This is the point-slope formula.⤵⤵⤵

\(y - y _{1} = m(x - x _{1})\)

For example we'll use point (2,-4). Also, remember that coordinates are written as (x,y), and that m represents slope.

So we have: y - (-4) = -7/2(x-2).

In other words, "Point Slope" would be

y + 4 = -7/2(x-2).

By the way, sorry this is a bit long, and took a while to complete. I had to re-educate myself on point-slope. Anyways hope this helps, I tried :)

Answer: 9%

Step-by-step explanation: as all the marks are out of 100 i suppose

so Ali got 58% at eng and 49% at math

so 58-49=9%

and that is how we get the answer

Answer:

9%

Step-by-step explanation:

because 58-49=9 and then add the percentage and then u get the answer

Answer:

Graph this points u will get the line.

(0,2) (2/5,0)

Step-by-step explanation:

The intercept of line with x-axis is at (0.4, 0) and with y-axis is at (0, 2).

The collection of all coordinates in the planar of the format [x, f(x)] that make up a variable function's graph.

The equation of the line is given below.

y = – 5x + 2

Put y = 0, then the x-intercept will be

0 = – 5x + 2

x = 2/5

x = 0.4

The x-intercept is (0.4, 0).

Put x = 0, the y-intercept will be

y = – 5(0) + 2

y = 2

The y-intercept is (0.4, 0).

Then the equation of line is drawn below.

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Given:

3x - 2

To find:

Describe the parts of the expression

Solution:

3x - 2Let us consider, f (x) = 3x - 2

The standard equation of the straight line is given by, y = mx + c

comparing the given equation with straight line equation, we get,

f (x) = y

m = 3

c = -2

m is the gradient of line

c is the y intercept (the graph crosses the y - axis)

From the information given, it is correct to state that M = - 3; while c = 26. This problem relates to a Rhombus. See the definition of a Rhombus below.

A Rhombus is a 2-dimensional quadrilateral whose sides have equal length.

It is given that ABCD is a Rhombus. This means that

Hence, the slope of AC = -3.

This is arrived at as follows:

Given that the diagonals of Rhombus' are perpendicular, hence

I/3 x m = -1 ⇒ -3

⇒ Line y-11 = -3 (x-5)

⇒ Line AC thus ⇒ y = -3x + 26

Recall that the coordinates are (5, 11). Thus let y = -3x + b

Hence, -3 x 5 + b = 11
b = 11 + 15

b = 26.

Therefore the equation is given as:

y = -3X + 26 were:

m = -3; and

c = 26

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Using the z-distribution, it is found that since the test statistic is less than the critical value for the right-tailed test, it is found that it can be concluded that the proportion of the population in favor of candidate A is not significantly greater than 0.75.

At the null hypothesis, it is tested if the proportion is not significantly more than 75%, that is:

\(H_0: p \leq 0.75\)

At the alternative hypothesis, it is tested if the proportion is significantly more than 75%, that is:

\(H_1: p > 0.75\)

The test statistic is given by:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

In the sample, 80 out of 100 people favored candidate A, hence, the parameters are:

\(n = 100, \overline{p} = \frac{80}{100} = 0.8, p = 0.75\)

Hence:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.8 - 0.75}{\sqrt{\frac{0.75(0.25)}{100}}}\)

\(z = 1.15\)

The critical value for a right-tailed test, as we are testing if the proportion is greater than a value, is \(z^{\ast} = 1.645\).

Since the test statistic is less than the critical value for the right-tailed test, it is found that it can be concluded that the proportion of the population in favor of candidate A is not significantly greater than 0.75.

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Answer:

where is the image? give me the image so I can answer y I urge question

Answer:

(8,7)

Step-by-step explanation:

(7,8)→(8,7)=(8,7)

Step-by-step explanation:

Hi,

For the first screenshot, your answer will be...

A) 1/10 + 1/4 ≤ 1

And for the second screenshot, your answer will be...

A) d ≤ -1/2n + 5

I hope this helps :)

Answer:

3

Step-by-step explanation:

First right out all the data in numerical order from left to right.

2, 2, 2, 3, 4, 5, 7

The median is the middle number in the set.  If there is an even amount of data points, find the average of the two middle numbers.  If there is an odd number of data points, like in this data set, just take the middle number as you median.

There are 7 data points in this set so the fourth number in the set written in numerical order would be your median.

When writing this set out in numerical order, repeated numbers must be repeated, we find that the fourth, or middle, number is 3.  Therefore, 3 is the median of this data set.

To show that P3 and P2 are orthogonal, we need to evaluate the integral ∫₋₁ (3/2 x² - 1/2) (5/2 x³ + 3/2 x) dx and demonstrate that the result is equal to zero.

Let's compute the integral of the product of P3 and P2 over the interval [-1, 1]: ∫₋₁ (3/2 x² - 1/2) (5/2 x³ + 3/2 x) dx

Expanding the expression and simplifying, we have:

∫₋₁ (15/4 x⁵ + 9/4 x³ - 5/4 x³ - 3/4 x) dx

Combining like terms, we get:

∫₋₁ (15/4 x⁵ + 4/4 x³ - 3/4 x) dx

Now, we can integrate each term separately:

∫₋₁ (15/4 x⁵) dx + ∫₋₁ (4/4 x³) dx - ∫₋₁ (3/4 x) dx

Integrating each term yields:

(15/4) ∫₋₁ x⁵ dx + (4/4) ∫₋₁ x³ dx - (3/4) ∫₋₁ x dx

Evaluating the integrals, we have:

(15/4) * [x⁶/6]₋₁ + (4/4) * [x⁴/4]₋₁ - (3/4) * [x²/2]₋₁

Simplifying the expression further, we obtain:

(15/4) * [(1/6) - (1/6)] + (4/4) * [(1/4) - (1/4)] - (3/4) * [(1/2) - (-1/2)]

Notice that each term in the square brackets evaluates to zero, resulting in: (15/4) * 0 + (4/4) * 0 - (3/4) * 0 = 0 Hence, we have shown that the integral of the product of P3 and P2 over the interval [-1, 1] equals zero, indicating that P3 and P2 are orthogonal.

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Answer:

what graph

Step-by-step explanation:

The number line represents a discrete random variable. The reason for this is that the variable can only take on the values that are represented by the dots or points on the number line. These values cannot be broken down into smaller units or decimals.

A random variable is a variable that can take on different values, depending on the outcome of a random event.

A discrete random variable is a random variable that can only take on certain values.

A continuous random variable, on the other hand, can take on any value within a given range.

The given number line has dots or points that represent the possible values that the random variable can take on.

The dots or points on the number line suggest that the random variable is discrete.

Therefore, the number line represents a discrete random variable. The reason for this is that the variable can only take on the values that are represented by the dots or points on the number line. These values cannot be broken down into smaller units or decimals.

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A) the three inequalities that must be satisfied are:

B) Graph shaded and satisfying all conditions is attached.

An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions.

It is most commonly used to compare the sizes of two numbers on a number line.

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Answer:

The system has no solutions.

Step-by-step explanation:

The intersection between the two lines is the only solution for the system. Since two parallel lines will never intersect.

There is NO solution for this system.

Answer:

1.05821886 ounces

Step-by-step explanation:

To convert 30 grams to ounces, use the conversion factor 1 ounce = 28.3495 grams.

Answer: 23 + 9 = 32

Step-by-step explanation:

Arthur Schlesinger Jr. introduced the term "judicial activism" in a January 1947 Fortune magazine article titled "The Supreme Court: 1947".

What is judicial activism?

Judicial activism is a judicial philosophy that is sometimes referred to as "legislating from the bench". It is an exercise of judicial review and generally refers to the willingness of a judge to strike down legislative or executive actions regarding constitutional issues. Judicial restraint is generally thought of as the opposite of judicial activism.[1]

Earlier in the january of 1947 ,Arthur Schlesinger Jr. introduced the term "judicial activism" .An article by Keenan Kmiec says that in its early usage, it was sometimes used with a positive connotation akin to the term "civil rights activist".

Thus , Arthur Schlesinger Jr. introduced the term "judicial activism" in a January 1947 Fortune magazine article titled "The Supreme Court: 1947".

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Answer:

Step-by-step explanation:

To find g[f(2)], we need to evaluate the composite function g[f(2)] by first finding f(2) and then substituting the result into g(x).

Let's start by finding f(2):

f(x) = 2x² - 3x

f(2) = 2(2)² - 3(2)

= 2(4) - 6

= 8 - 6

= 2

Now that we have the value of f(2) as 2, we can substitute it into g(x):

g(x) = 5x - 1

g[f(2)] = g(2)

= 5(2) - 1

= 10 - 1

= 9

Therefore, g[f(2)] is equal to 9.

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Answer:

12.5%

1.25

126%

1 2/5

Step-by-step explanation: