Sandra’s rectangular garden is 24. 5 feet long, and the ratio of the length to the width is 7 to 4. What is the width of sandra’s garden?.

Answer:

I'm pretty sure it's 1, 2, and 3, but I'm not positive

The frequency distribution of lottery winners of age between 19 and 40 is 7, and 3.32% of lottery winners are 70 years or older.

To find the frequency of lottery winners of age between 19 and 40, we need to add the frequencies of the age groups [20,29] and [30,39].

Frequency of lottery winners between 20 and 29 years old = 2

Frequency of lottery winners between 30 and 39 years old = 5

Frequency of lottery winners between 19 and 40 years old = 2 + 5 = 7

Therefore, the frequency of lottery winners of age between 19 and 40 is 7.

To find the percentage of lottery winners who are 70 years or older, we can use the cumulative relative frequency. We know that the cumulative relative frequency for the age group [70,79] is 0.9668, which means that 96.68% of the lottery winners are 70 years old or younger. Therefore, the percentage of lottery winners who are 70 years or older is:

100% - 96.68% = 3.32%

So, 3.32% of lottery winners are 70 years or older.

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To find the critical value for a left-tailed test with a significance level of 0.10 using the z table, we need to locate the z-score that corresponds to an area of 0.10 in the left tail of the standard normal distribution.

The standard normal distribution is a bell-shaped curve with a mean of 0 and a standard deviation of 1. The z table provides the cumulative probability values for different z-scores.

Since we are conducting a left-tailed test, we are interested in finding the z-score that represents the critical value. This z-score will have an area of 0.10 to the left of it.

Using the z table, we look for the closest value to 0.10 in the body of the table. The closest value is typically found in the leftmost column (corresponding to the tenths digit) and the top row (corresponding to the hundredths digit).

In this case, the closest value to 0.10 in the z table is 1.28. This means that the critical value for the left-tailed test with a significance level of 0.10 is -1.28 (negative because it is in the left tail).

Therefore, the critical value for the left-tailed test with a = 0.10 is -1.28.

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Answer: \(5 \dfrac{13}{20}\ \text{miles}\)

Step-by-step explanation:

Given

George walks \(3 \frac{1}{4}\) before taking break

then he walks additional \(2 \frac{2}{5}\) miles

total distance walked

\(\Rightarrow 3 \frac{1}{4}+2 \frac{2}{5}=\frac{12+1}{4}+\frac{10+2}{5}\\\Rightarrow \frac{13}{4}+\frac{12}{5}=\frac{13\times 5+12\times 4}{20}\\\Rightarrow \frac{113}{20}=5 \frac{13}{20}\ \text{miles}\)

Answer:

question 1 would be A because the answer are expanded brackets

Answer:

7,600.

Step-by-step explanation:

The 6 is the hundreds digit - as the next digit after it is 4 we leave the 6 as it is  so the answer is 7,600.

Answer:

7600

Step-by-step explanation:

First, 7648 rounded to the nearest hundred is:

7600

15625=295.80x is the expression for the given condition.

An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. In mathematics, an expression is a phrase that has at least two numbers or variables and at least one arithmetic operation. Addition, subtraction, multiplication, or division are all examples of math operations. A number, a variable, or a combination of numbers, variables, and operation symbols constitutes an expression. An equation consists of two expressions joined by an equal sign. Example of a word: the sum of 8 and 3. Example of a word: The product of 8 and 3 equals 11. 8 + 3 is an expression.

Here,

Let x be the number of month to payout.

15625=295.80x

x=52.82

The expression for given condition is 15625=295.80x.

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Answer:

5 and 7

Step-by-step explanation:

The sum is even aka 12, however, both of the integers are not even.

A firm should record an impairment in the value of property, plant, or equipment by reducing the carrying amount of the asset and recognizing the impairment loss as an expense in the financial statements.

When the value of property, plant, or equipment is impaired, meaning its recoverable amount is lower than its carrying amount, a firm should recognize this impairment in its financial statements. The impairment is recorded by reducing the carrying amount of the asset to its recoverable amount, which is the higher of its fair value less costs to sell or its value in use. The difference between the carrying amount and the recoverable amount is recognized as an impairment loss and recorded as an expense in the income statement. This adjustment reflects the decrease in the value of the asset and allows the firm to accurately report its financial position and performance.

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I hope this is a comment, I'm on a mobile device: please specify what shapes. I would gladly answer.

Answer:

x³ - 9x² + 27x - 27

Step-by-step explanation:

The volume (V) of a cube is calculated as

V = s³ ( s is the measure of the side ) , thus

V = (x - 3)³

   = (x - 3)(x - 3)(x - 3) ← expand the second/ third factors using FOIL

   = (x - 3)(x² - 6x + 9) ← distribute

   = x³ - 6x² + 9x - 3x² + 18x - 27 ← collect like terms

   = x³ - 9x² + 27x - 27

So the frequency of individuals with red hair in population b after 10 generations of migration is approximately 0.02%.

We need to use the Hardy-Weinberg equation, which describes how the frequencies of alleles in a population will change over time.
The equation is:
p^2 + 2pq + q^2 = 1
Where:
p = frequency of one allele
q = frequency of the other allele
p^2 = frequency of homozygous dominant individuals
2pq = frequency of heterozygous individuals
q^2 = frequency of homozygous recessive individuals
In this case, the recessive trait is red hair, so we'll use q to represent the frequency of the recessive allele.
In population a, q = 0.49, so p (the frequency of the dominant allele) = 1 - q = 0.51.
In population b, q = 0.25, so p = 0.75.
After the emigrants from population a migrate to population b, the new frequency of the recessive allele in population b will be:
q' = (0.1 x 0.49) + (0.9 x 0.25) = 0.286
This is the new value of q after one generation of migration. To calculate the frequency of red-haired individuals after 10 generations, we need to use the equation:
q^10 = (0.286)^10 = 0.0002
So the frequency of individuals with red hair in population b after 10 generations of migration is approximately 0.02%.
The frequency of individuals with red hair in population b after 10 generations of migration is approximately 0.02%. This is based on the assumption that the emigrants from population a mate randomly with members of population b and that the population sizes remain constant over time.
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The coordinates C and D of the given line segment division are: C(0,3) and D (3,0)

The formula for the internal division of line segment in the ratio m:n is

P = {[(mx₂ + nx₁)/(m + n)],[(my₂ + ny₁)/(m + n)]}

We are given with a line segment that has endpoints at (-3,6) and (6,-3). The line segment is divided into three parts and is asked to determine the points in between the endpoints.

Now, x has a total length of -9. Thus, C should have x-coordinate of 0 and D should have 3.

Meanwhile, y has a total length of -9. Therefore, c's y should be 3 while D should have 0.

Therefore the coordinates are, C(0,3) and D (3,0)

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The value of angle x in the triangle shown is 78°

An equation is an expression that shows the relationship between two or more numbers.

A triangle is a polygon that has three sides and three angles. The sum of angles in a triangle is 180 degrees. Types of triangles are isosceles, scalene, equilateral

In the large triangle let the missing angle by y, hence:

y + 87 + 36 = 180  (sum of angle in a triangle)

y = 57°

In the triangle containing the angle 45, let the missing angle be z, hence:

z + y + 45 = 180 (angle in a triangle)

z + 57 + 45 = 180

z = 78°

x = z (corresponding angles are equal)

x = 78°

The value of x is 78°

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Answer:

224

Step-by-step explanation:

Solution,

n.o of stance on each page=14

n.o of pages=16

Now,

the total n.o of stamps=14×16

=224,,

\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ h=3 \end{cases}\implies V=\pi (5)^2(3)\implies V=75\pi ~units^3\)

Thus, the surface area of rectangular prism is found to be 208 sq. cm.

A rectangular prism is really a three-dimensional form having six faces, two of which are lateral faces and two of which are top and bottom faces. The prism's faces are all rectangular in shape. There are three sets of identical faces as a result. A rectangular prism is often referred to as a cuboid because of its shape.

Given dimensions:

surface area of rectangular prism = 2(lb + bh + hl)

surface area of rectangular prism = 2(8*6 + 6*4 + 4*8)

surface area of rectangular prism = 2(48 + 24 + 32)

surface area of rectangular prism = 2*104

surface area of rectangular prism = 208 sq. cm

Thus, the surface area of rectangular prism is found to be 208 sq. cm.

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The correct option is A. The LCM equals the product of the numbers if, and only if, the numbers have no prime factors in common. Because GCD(a, b) - LCM(a, b) = ab, LCM(a, b) = ab, if, and only if, GCD(a, b) = 1, that is, a and have no prime factors in common.

The LCM equals the product of the numbers if, and only if, the numbers have no prime factors in common.

This is because the relationship between the LCM and GCD of two numbers a and b is given by the formula LCM(a, b) * GCD(a, b) = ab. If the LCM(a, b) equals the product of the numbers, then LCM(a, b) = ab, which is true if and only if GCD(a, b) = 1. And GCD(a, b) = 1 if and only if a and b have no prime factors in common.

You can tell from the prime factorization of two numbers if their LCM equals the product of the numbers if, and only if, the numbers have no prime factors in common.

if, and only if, GCD(a, b) = 1. This means that a and b have no prime factors in common.

Therefore, if two numbers have no prime factors in common, their LCM will be equal to their product.

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Answer: D) Intersecting, but not perpendicular lines

===============================================================

Explanation:

Let's solve the second equation for y

2x - 12y = 24

-12y = 24-2x ................... subtract 2x from both sides

-12y = -2x+24

y = (-2x+24)/(-12) ............ divide both sides by -12

y = (-2x)/(-12) + 24/(-12)

y = (1/6)x - 2

The slope here is 1/6 since the last equation is in y = mx+b form.

The slope of y = 6x-2 is 6

Multiplying the two slopes leads to (1/6)*(6) = 1. Since the result is not -1, this means the lines are not perpendicular.

The lines aren't parallel either because we would need to have the two slopes be equal. Parallel lines have equal slopes but different y intercepts.

Therefore, we consider these lines to be intersecting, but not perpendicular.  The single point they intersect at is the solution to the system.

The next three terms in each geometric sequence is 72, 36, 18, 9, 4.5, 2.25.

The general form of Geometric Progression is: a, ar, ar 2, ar 3, ar 4,…,a n. Where,

a = First term.

r = common ratio.

a n = nth term.

General Term or Nth Term of GP.

Let a be the first term  

And, r be the common ratio for a G.P.

The general form of Geometric Progression is:

GP-series

Where,

a = First term

r = common ratio

arⁿ ⁻¹ = nth term

The next three terms of the GP is :

2.25 + 2.25 = 4.5

4.5 + 4.5 = 9

9 + 9 = 18

18 + 18 = 36

36 + 36 = 72

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Answer:

44.8 feet

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

∠ 1 and ∠ 8 , ∠ 2 and ∠ 7 are alternate exterior angles

They are on opposite sides of the transversal and outside the parallel lines

Given ∠ 1 = 60° , then

∠ 8 = 60° ( alternate exterior angles are congruent )

Answer:

1. <1 and <8

< 2 and <7

2. 60°

Step-by-step explanation:

1. When two lines are cut by a transversal, the pairs of angles on either side of the transversal and outside the two lines are called the alternate exterior angles.

2. If two parallel lines are cut by a transversal, then the alternate exterior angles formed are congruent.

Congruent angles are angles with the same measurement.

Answer:

15.7

Step-by-step explanation

hard to explain

If two events, event A with probability P(A) and event b with probability P(B) are complementary events then the sum of the probability of events A and B will be one.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

When one event happens if and only if the other one doesn't, two occurrences are said to be complimentary. The odds of two complementary events equal one.

P(A) + P'(A) = 1

The chance of events A and B added together will equal one if events A with probability P(A) and event B with probability P(B) are complementary occurrences.

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To write a number in scientific notation you must know:

1. A number in scientific notation is written as the product of a number (integer or decimal) and a power of 10

2. A number can be converted to scientific notation by increasing the power of 10 by one for each place the decimal point is shifted to the left.

Then so:

Answer:

Let x = time in minutes

Let y = water in ounces

Part A

If the water drips at a constant rate of 2 ounces per 5 minutes, then

x = 0, y = 0

x = 10, y = 4

x = 20, y = 8

Part B

Graph is attached.

Please note that the scales on the y and x axes are different.

Part C

\(\sf y=\dfrac25x\)

b) The inverse of f(x) = x + 7 is f^(-1)(x) = x - 7. The domain is the set of all real numbers.

a) The inverse of f(x) = 2x - 3 is f^(-1)(x) = (x + 3) / 2. The domain is the set of all real numbers.

c) The inverse of f(x) = √x, x ≥ 0 is f^(-1)(x) = x^2. The domain is the set of all non-negative real numbers.

e) The inverse of f(x) = 4x^2, x ≥ 0 is f^(-1)(x) = √(x/4). The domain is the set of all non-negative real numbers.

g) The inverse of f(x) = ax + b, a ≠ 0 is f^(-1)(x) = (x - b) / a. The domain is the set of all real numbers.

i) The inverse of f(x) = x² - 1, x ≤ 0 or x² + 1, x > 0 is f^(-1)(x) = -√(x + 1), x > 0 or -√(x - 1), x ≤ 0. The domain is the set of all real numbers.

d) The inverse of f(x) = 1 / (x + 2)³ is f^(-1)(x) = (1 / x)^(1/3) - 2. The domain is all real numbers except x = 0.

f) The inverse of f(x) = √(x - 5), x > 5 is f^(-1)(x) = x² + 5. The domain is the set of all real numbers greater than 5.

h) The inverse of f(x) = x² + 2x, x < -1 is f^(-1)(x) = -1 - √(1 + x). The domain is the set of all real numbers less than -1.

b) For the function f(x) = x + 7, to find its inverse, we solve for x: x = y + 7. Then, we interchange x and y to get the inverse function: y = x - 7, which is f^(-1)(x). The domain of f(x) = x + 7 is all real numbers since there are no restrictions.

a) For the function f(x) = 2x - 3, we follow the same steps as above to find its inverse. Solving for x gives x = (y + 3) / 2, which is the inverse function f^(-1)(x). Again, the domain is all real numbers.

c) The function f(x) = √x, x ≥ 0 is a square root function. To find its inverse, we swap x and y and solve for y: x = √y. Squaring both sides, we get x^2 = y, which is f^(-1)(x). The domain is restricted to x values greater than or equal to 0 because the square root of a negative number is not defined.

e) The function f(x) = 4x^2, x ≥ 0 is a quadratic function. Following the same steps, we find the inverse function as f^(-1)(x) = √(x/4). The domain is restricted to x values greater than or equal to 0 to ensure that the square root is always non-negative.

g) For the function f(x) = ax + b, where a ≠ 0, we solve for x: x = (y - b) / a, and the inverse function is f^(-1)(x) = (x - b) / a. The domain remains all real numbers since there are no restrictions.

i) The function f(x) = x² - 1, x ≤ 0 or x² + 1, x > 0 consists of two different functions for x ≤ 0 and x > 0. To find the inverse, we consider each case separately. The domain for the inverse function is the set of all real numbers since there are no restrictions.

d) The function f(x) = 1 / (x + 2)³ is a rational function. To find its inverse, we solve for x: x = (1 / y)^(1/3) - 2. The inverse function is f^(-1)(x) = (1 / x)^(1/3) - 2. The domain excludes x = 0 to avoid division by zero.

f) The function f(x) = √(x - 5), x > 5 is a square root function. The inverse function is found by swapping x and y, giving x = √(y - 5). Squaring both sides, we get x² = y - 5, which yields the inverse function as f^(-1)(x) = x² + 5. The domain is all real numbers greater than 5.

h) The function f(x) = x² + 2x, x < -1 is a quadratic function. To find the inverse, we solve for x: x = -1 ± √(1 + y). Taking the negative square root, we get x = -1 - √(1 + y), which is the inverse function f^(-1)(x). The domain is all real numbers less than -1.

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Answer:

38.83 inches

Step-by-step explanation:

Jose: 52 1/2

Sister: 52 1/2 - 13 2/3

His sister is 38.83 inches

Answer:

38 5/6 inches