Look at the model below and write an expression to match.

Answer:

15 phones, option B.

Step-by-step explanation:

A cell phone company orders new phones = 500

The probability of a phone  is being defective = 2.9%

2.9% of 500 phones are = [tex]\frac{2.9}{100}[/tex] × 500

0.029 × 500 = 14.5 rounded to the nearest whole number is 15

The probability of 15 phones are defective out of 500 phones.

Rational numbers are those that can be expressed as a fraction of two integers. Examples of expressions that result in rational numbers include simple calculations or operations that result in whole numbers or decimal numbers that can be written as a fraction.

In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator not being zero. If an expression results in such a number, then it is considered a rational number.

Let's consider some examples from the given information:

However, numbers resulting from certain trigonometric functions like sine and cosine, logarithms, or exponential functions may not always be rational. These functions require pure numbers as inputs and outputs.

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The chemist can perform approximately 34 experiments with her 5.1 kg supply of calcium, given that she uses 0.15 kg of calcium for each experiment.

The chemist has 5 1/10 kg of calcium and uses 0.15 kg of calcium for each experiment. To determine the number of experiments she can perform with her existing supply, we need to divide the total amount of calcium she has by the amount used in each experiment.

So, 5 1/10 kg = 5.1 kg. Dividing 5.1 kg by 0.15 kg, we get approximately 34. Therefore, she can perform 34 experiments with her current supply of calcium.

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To determine who is correct, analyze the graph and compare it to the hypotheses of Ernest and Emma.

Both Ernest and Emma have different hypotheses about Ryan's rest during the trail. Ernest thinks Ryan rested between 120 and 150 miles, while Emma believes he walked a flat part of the trail during that time. To determine who is correct, we need to analyze the graph to see if it matches either hypothesis.

If the graph shows a flat line between 120 and 150 miles, then Emma would be correct. However, if the graph shows a change in elevation during that distance, then Ernest's hypothesis would be correct. To identify the correct hypothesis, visually analyze the graph and compare it to the hypotheses put forth by Ernest and Emma.

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Answer:

It's 69.08

Step-by-step explanation:

The given sequence is a geometric sequence with a common ratio of 3. The next term of the sequence is 81, not 54. The sequence cannot be described by the expression n+3 or as an arithmetic sequence.

The sequence given is 1, 3, 9, 27, which is a sequence where each term is a multiple of the previous term. This type of sequence is called a geometric sequence. In this particular sequence, it is clear that every term is being multiplied by 3 to obtain the next term. Hence, the common ratio for this sequence is indeed 3 (Statement II).

This sequence is not an arithmetic sequence (Statement I is false) because the difference between successive terms is not constant. Furthermore, the sequence can't be described by the expression n+3 (Statement IV is false) because the sequence doesn't increment by adding 3 to each term; instead, it increments by multiplying the previous term by 3. Lastly, the next term in the sequence is not 54 (Statement III is false). It is 81 because you multiply the previous term (27) by the common ratio (3) to get 81.

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The cabinet's volume is 15 cubic feet.

The student is asking how to calculate the volume of a cabinet in the shape of a rectangular prism. The cabinet dimensions provided are 30 inches wide, 4 feet (48 inches) tall, and 18 inches deep. To find the volume in cubic feet, we first need to ensure all dimensions are in the same units, so we convert inches to feet by dividing by 12.

Thus, the cabinet dimensions in feet are 2.5 feet wide (30 inches / 12), 4 feet tall, and 1.5 feet deep (18 inches / 12).

The formula to calculate volume is length x width x height:

Volume = width x height x depth

Volume = 2.5 ft x 4 ft x 1.5 ft

Volume = 15 cubic feet

Therefore, the volume of Roselia's cabinet is 15 cubic feet.

Answer:

A) The experimental probability is 2% lower than the theoretical probability.

Step-by-step explanation:

Answer:

The answer would be A.

Step-by-step explanation:

The equivalent fraction of 0.7 is 7/9.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

The decimal 0.7¯ (0.7777...) represents a repeating decimal in which the digit 7 repeats infinitely. To convert this to a fraction, we can use the following steps:

Let x = 0.7¯

Multiply both sides by 10 to move the decimal point one place to the right:

10x = 7.7¯

Subtract the left-hand sides of the first and second equations, and the right-hand sides of the first and second equations, to get:

10x - x = 7.7¯ - 0.7¯

Simplify both sides:

9x = 7

Divide both sides by 9:

x = 7/9

Therefore, the equivalent fraction for 0.7¯ is 7/9.

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The depth of the water decreases by each minute will be 1 / 5 inches.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a pool is in the shape of a rectangular prism. on Monday water was pumped out of the pool at a constant rate starting at 12:00 pm to 12:15 pm the water in the pool was 45 inches deep. at 12:35 pm the water in the pool was 41 inches deep

From 12:15 to 12:35, 20 minutes passed. 4 inches of water have drained in these 20 minutes.

4 inches in 20 minutes = 4 / 20 =  1/5 inch per minute.

Therefore, the depth of the water decreases by each minute will be 1 / 5 inches.

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To find the total number of rabbits for sale in the pet store, set the total number of rabbits as 'x' and solve the equation 0.30x = 3 to get x = 10. Therefore, there are 10 rabbits for sale.

The question involves Flee, Fin, and Fliffers, three rabbits that constitute 30% of the total number of rabbits for sale in a pet store. To find out the total number of rabbits, let's designate the total number of rabbits as 'x'. Since the three rabbits are 30% of the total, we can write the equation

0.30x = 3

(because Flee, Fin, and Fliffers are three rabbits).

Solving for 'x', we divide both sides of the equation by 0.30 to get

x = 3 / 0.30.

Therefore, x = 10, which means there are a total of 10 rabbits for sale in the pet store.

Let's represent the total number of rabbits for sale as x. Since Flee, Fin, and Fliffers represent 30% of the total, their combined number is 0.30x. We can set up an equation: 0.30x=number of rabbits represented by Flee, Fin, and Fliffers. Solving for x, we divide both sides by 0.30x=number of rabbits represented by Flee, Fin, and Fliffers/0.30x​. This implies that the total number of rabbits is 3.33 times the number represented by Flee, Fin, and Fliffers. So, if we know the number of rabbits represented by Flee, Fin, and Fliffers, we can multiply it by 3.33 to find the total number of rabbits for sale.

Complete answer;

Flee, Fin, and Fliffers are 3 rabbits for sale in a pet store. Combined they represent 30% of the total number of rabbits for sale. What is the total number of rabbits for sale?

It's (-8,8) and (2,2)

     (-2,1) and (3,-2)

Answer:

(–3, 6) and (6, –9) and  (0, 2) and (5, 5)

Step-by-step explanation:

Given : Slope = [tex]\frac{-3}{5}[/tex].

To find: Which ordered pairs could be points on a line that is perpendicular to this line.

Solution : We have given that  Slope = [tex]\frac{-3}{5}[/tex].

Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}- x_{1}}[/tex].

For (–8, 8) and (2, 2)

Slope = [tex]\frac{2- 8 }{2 + 8}[/tex].

Slope = [tex]\frac{-6 }{10}[/tex].

Slope = [tex]\frac{-3 }{5}[/tex].

For (–5, –1) and (0, 2).

Slope = [tex]\frac{2+1 }{0 + 5}[/tex].

Slope = [tex]\frac{3 }{5}[/tex].

For, (–3, 6) and (6, –9)

Slope = [tex]\frac{-9- 6}{6 + 3}[/tex].

Slope = [tex]\frac{-15 }{9}[/tex].

Slope = [tex]\frac{-5}{3}[/tex].

For (–2, 1) and (3, –2)

Slope = [tex]\frac{-2 -1 }{3 +2}[/tex].

Slope  = [tex]\frac{-3 }{5}[/tex].

For (0, 2) and (5, 5)

Slope = [tex]\frac{5 -2 }{5 -0}[/tex].

Slope =  [tex]\frac{3 }{5}[/tex].

Therefore,  (–3, 6) and (6, –9) and  (0, 2) and (5, 5)

a)  equation to model this situation can be

14x + 68 = 0

b) so, the money he had before two weeks are

14(3) + 68 = $120

c) equation to determine when Marty will run out of money if he continues to spend at this rate is 57 days and 8 hours.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given:

Spent per day = $3

After 14 days = $68 left

a)  equation to model this situation can be

14x + 68 = 0

b) so, the money he had before two weeks are

14(3) + 68 = $120

c) equation to determine when Marty will run out of money if he continues to spend at this rate.

let the total money be a

a - 14x = 120

a = 14(3) + 120

a = 172

So, if m is the number of days

172 - 3m = 0

3m= 172

m = 57 days and 8 hours

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