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By reading the 2 water levels below and subtracting them, work out the volume of the gold nugget in mL
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Answer: 72ft²

Explanation: In the Triangle, you will have to extend the higher part of the height down to the lower part to add the six feet to the other six feet which will give you 12 ft for the height and for the base we will use the 15 ft - 3 ft which will be used to get the base and that will be the new base which we will be using in the context of this. Which will be 12 ft so using the formula half base x height. you're going to do half * 12 * 12 which is going to give you 72 feet squared

Answer:    B

Step-by-step explanation: I just know

Answer:

B. He rounded the percent up to 40% and the number up to 200.

The false statement suggests that class boundaries ensure consecutive bars of a histogram touch, but this is incorrect. Class boundaries are used to define intervals and group data, not to ensure that bars touch.

Class boundaries in a histogram are not designed to ensure that consecutive bars touch. Instead, they are used to define the intervals or ranges into which the data is grouped. The purpose of class boundaries is to establish a clear distinction between adjacent classes, making it easier to interpret the data and create meaningful intervals for analysis.

To clarify, let's consider an example where we have a set of data points ranging from 10 to 30. We want to create a histogram with five bars. We can define the class boundaries as follows:

Class 1: 10 - 14.9

Class 2: 15 - 19.9

Class 3: 20 - 24.9

Class 4: 25 - 29.9

Class 5: 30 - 34.9

In this example, the class boundaries are chosen based on the desired intervals for the histogram. However, it's important to note that the bars representing these classes in the histogram will not touch each other. There will be gaps between them to indicate that they are separate intervals.

The purpose of class boundaries is to create distinct and meaningful intervals for analyzing the data in a histogram.

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They must sample 385 subscribers to obtained this interval.

What do you mean by sample?

An outcome of a random experiment is a sample. A random variable is sampled when we choose one particular value from its range of potential values.

According to the given question,

We have:

95% confidence interval for z-score is  1.96

Using this formula to find the number of  subscribers  they must sample to obtain this interval

n≥ (zσ/2 ÷ 2ME)²

Where:

n= Sample

zσ = Z-score

ME = margin of error

Let put in the formula,

n≥ [1.96 / 2(0.05)]²

n≥ [1.96 / 0.1]²

= (19.6)²

= 384.16

=385 (Rounded)

Therefore, they must sample 385 subscribers to obtained this interval.

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Answer:

I dont know cause I am too

Answer:

  (-5x +y +1)(5x -y +1)

Step-by-step explanation:

You want the factored form of 1-25x²+10xy-y².

We recognize the last three terms as those of a perfect square trinomial:

  25x² -10xy +y² = (5x -y)²

Using this form for the last three terms, we see the given expression is the difference of squares. It can be factored as such.

  1 -(5x -y)² = (1 -(5x -y)(1 +5x -y)

  = (-5x +y +1)(5x -y +1)

__

Additional comment

The forms we used here are ...

  (a -b)² = a² -2ab +b²

  a² -b² = (a -b)(a +b)

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The number mentioned is the opposite of the square root of 9.

Opposite of the square root of 9: -√9 = -3

Based on this calculation, we can determine the sets that this number belongs to:

1. Real numbers (R): The set of all numbers that include both rational and irrational numbers. The opposite of the square root of 9, which is -3, belongs to the set of real numbers.

2. Integers (Z): The set of whole numbers, including their negatives and zero. -3 is an integer, so it belongs to the set of integers.

3. Rational numbers (Q): The set of all numbers that can be expressed as a ratio of two integers. -3 can be expressed as -3/1, which is a ratio of two integers. Therefore, it belongs to the set of rational numbers.

4. Negative numbers: The set of all numbers less than zero. -3 is a negative number, so it belongs to the set of negative numbers.

-3 does not belong to the set of natural numbers (N) since natural numbers only include positive integers.-3 is a real number because it can be represented on the number line. It is an integer because it is a whole number that is not a fraction. It is a rational number because it can be expressed as a fraction of two integers, namely -3/1. It is an irrational number because its decimal representation is non-terminating and non-repeating.

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Answer:

12

Step-by-step explanation:

2×2=4

2×2×2=8

8+4=12

Answer:

2^5 or the last one

Step-by-step explanation:

you can add the powers or the small numbers, then you put the powers together and then put them next to one of the twos.

Answer:

2:7

Step-by-step explanation:

If 2 of the puppies are brindle that leaves 7 that are not out of the nine making the ratio 2:7.

Answer:

blank 1 = 4

blank 2 = -5

blank 3 = -1

Step-by-step explanation:

For the transformation at -78 °C, appropriate reagents include lithium aluminum hydride (LiAlH4) and diethyl ether.

At -78 °C, certain chemical reactions require the use of specific reagents to achieve the desired transformation. One commonly used reagent is lithium aluminum hydride (LiAlH4), which acts as a strong reducing agent. It is capable of reducing various functional groups, such as carbonyl compounds, to their corresponding alcohols.

Diethyl ether is typically employed as a solvent to facilitate the reaction and ensure efficient mixing of the reactants. Researchers often utilize this low temperature for reactions involving sensitive or reactive intermediates, as it helps control the reaction and prevent unwanted side reactions.

The use of LiAlH4 and diethyl ether provides a reliable combination for achieving the desired transformation at this temperature, enabling chemists to manipulate and modify compounds in a controlled manner.

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The probability that x is between 420 and 460 is 0.25778

The sum of independent normally distributed random variables is normally distributed with mean equal to the sum of the individual means and variance equal to the sum of the individual variances.

so, the mean would be,

μ = 100 + 150 + 200

μ = 450

and standard deviation would be,

σ = 15+ 20 + 25

σ = 60

We need to find the probability that x is between 420 and 460.

P(420 < x < 460)

= P( 420 -  μ < x -  μ < 460 -  μ)

= P((420 -  μ)/σ < (x - μ)/σ < (460 -  μ)/σ)

= P((420 -  450)/60 < Z < (460 -  450)/60)

= P (-1/2 < Z < 1/6)

= P(-0.5<x<0.167)

= 0.25778

Therefore, the probability is P(420 < x < 460) = 0.25778

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The probability that the interval (x - 15) to (x + 15) contains the true population mean can be determined using the properties of the normal distribution.

In this scenario, the random variable x represents the sample mean. The sample mean is an unbiased estimator of the population mean.

Since the sample mean follows a normal distribution, with a known variance of 3600, we can calculate the standard deviation (σ) by taking the square root of the variance. So, σ = √3600 = 60.

To calculate the probability that the interval (x - 15) to (x + 15) contains the true population mean, we need to find the area under the normal curve between these two values.

Since the normal distribution is symmetric, the probability of the interval (x - 15) to (x + 15) containing the population mean is equal to the probability of the interval (x - 15) to (x) plus the probability of the interval (x) to (x + 15).

Using the standard normal distribution table or a statistical calculator, we can find the probabilities associated with these two intervals. The probability for each interval can be calculated by finding the area under the normal curve.

Given that the sample size is 36, we can use the central limit theorem to assume that the sample mean follows a normal distribution regardless of the shape of the population distribution.

To summarize, to find the probability that the interval (x - 15) to (x + 15) contains the true population mean, we need to find the area under the normal curve for the intervals (x - 15) to (x) and (x) to (x + 15).

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Answer:

the correct answer is C) x - 6y = 14

Answer:

slope=7/4

Step-by-step explanation:

you can find the slope of the line from a graph using the formula rise/run, where rise is the change in y and run is the change in x

let's start with a clear point; for example, (-1,-3)

we need to go up, down, left, or right to get the rise/run

up/down is considered the rise

left/right is considered the run

if we go up or to the right, that's considered a positive move

if we go down or to the left, that's considered a negative move

we'll go from (-1,-3) to another clear point, like (3,4) for example

starting at (-1,-3):

go up 7, to the point (-1,4)

then move 4 to the right to get to the point (3,4)

we went up 7, so our rise is 7

we moved to the right 4, so that is our run

our slope then is 7/4

please see below for a graph if that would be helpful:

Answer:

\(-\frac{43}{70}\)

Step-by-step explanation:

One is given the following equation,

\(\frac{2}{3}*\frac{-3}{7}-\frac{1}{14}-\frac{3}{7}*\frac{3}{5}\)

Simplify, use the order of operations. The order of operations is a sequence by which one must simplify an equation. This sequence is the following,

1. Parehtensis

2. Exponents

3. Mutliplcaiton or Division

4. Addition or subtraction

Simplify the given expression. Remember, when multiplying fractions, one must cancel out like terms or factors that can be found in both the numerator and denominator,

\(\frac{2}{3}*\frac{-3}{7}-\frac{1}{14}-\frac{3}{7}*\frac{3}{5}\)

\(\frac{-2}{7}-\frac{1}{14}-\frac{3}{7}*\frac{3}{5}\)

\(\frac{-2}{7}-\frac{1}{14}-\frac{9}{35}\)

Convert to the least common denominator. In this case, the least common denominator is (70). Remember to multiply both the numerator (number over the fraction bar) and denominator (number beneath the fraction bar) to convert the denominator.

\(\frac{-2}{7}-\frac{1}{14}-\frac{9}{35}\)

\(\frac{-2}{7}*\frac{10}{10}-\frac{1}{14}*\frac{5}{5}-\frac{9}{35}*\frac{2}{2}\)

Simplify,

\(\frac{-2}{7}*\frac{10}{10}-\frac{1}{14}*\frac{5}{5}-\frac{9}{35}*\frac{2}{2}\)

\(\frac{-20}{70}-\frac{5}{70}-\frac{18}{70}\)

\(-\frac{25}{70}-\frac{18}{70}\)

\(-\frac{43}{70}\)

Answer: (3,-5) minimum

Step-by-step explanation:

the vertex is at the bottom so it is a minimum

Answer:

9

Step-by-step explanation:

i can not really tell what letters are on the picture but i think it is 9

Answer:

About 2:18

With this information, we can make a hypothesis or come to a conclusion that the clock says 2:18

The Median and IQR are most appropriate to describe the measures of center and variability of distribution. The histogram depicts the distribution of time is positively skewed. So, option(b) is right one.

We have a graph present in above figure, which showes the amount of time in hours spent on homework per week for a sample of students. We have to select correct measures of center and variability. The graph is a histogram. From the graph we can see that the data is positively skewed. Now for skewed distribution we prefer median over mean as mean is more sensitive to the outliers. As the data(time) is in ratio scale we can use any of the measures of dispersion; but for skewed distribution IQR is preferred because of its robustness. In a word both median and IQR can handle outliers. Thus the appropriate answer is Median and IQR, option (c).

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Complete question :

The above figure complete the question

the graph below displays the amount of time to the nearest hour spent on homework per week for a sample of students. which measures of center and variability would be most appropriate to describe the given distribution? group of answer choices

a) mean and standard deviation

b) mean and iqr

c) median and standard deviation

d) median and iqr

e) median and range

Answer:

Last option: 10-15 phones would be a valid claim.

Step-by-step explanation:

3/100 were defective or 0.03 or 3%.

So 450 x 0.03 = 13.5. We could expect somewhere around 13.5 phones to be defective. (Of course this sounds odd bc you can't have half a defective phone!)

So the last option is the best - - - 10-15 phones would be a valid claim.

Given: Half-life of strontium-90 = 11 yearsInitial mass of strontium-90 = 200 g Final mass of strontium-90 = 12.5 g.We need to find the time required for the initial mass of strontium-90 to decay to the final mass of strontium-90.Putting

A half-life is the time taken for half the atoms of a particular amount of a radioactive substance to decay. The decay of radioactive elements follows the exponential decay law.`N = N_0 e^(-λt)`Where N is the final amount, N0 is the initial amount, t is time and λ is the decay constant. For half-life problems, we can use:

\(`N = (1/2)N_0`And `t = T_(1/2)` (time for half-life)\)

Here, we have\(`N = 12.5 g` and `N_0 = 200 g`Half-life = 11 years\)

We know that `\(N/N_0 = (1/2)^(t/T_(1/2))``(12.5)/(200) = (1/2)^(t/11)`\)

Taking logarithm on both sides.`log(12.5/200) = \(log((1/2)^(t/11))``log(12.5/200) = (t/11)log(1/2)`\)

Putting the values.

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Answer:

B 1,5

Step-by-step explanation:

Answer:

b.(1,5)

Step-by-step explanation:

Step-by-step explanation:

take any two points of the line and find .

Answer:

5g-14

Step-by-step explanation:

Perimeter=12+g-26+4g=5g-14

Answer:

5g-4

Step-by-step explanation:

Answer:

1000 cubic metre

Step-by-step explanation:

hopes it help

Answer:

solution,

length=10 cm

volume=?

now,

volume of cube=l×l×l

=10×10×10

therefore,the answer is 1000 cubic centimeter

The sub duplicate ratio of 16:9 is

4: 3

The sub-duplicate ratio is found by finding the square root of both the numerator and denominator

The given ratio is 16:9

Find the square root of 16

\( \sqrt{16} = 4\)

Find the square root of 9

\( \sqrt{9} = 3\)

Combining the two square roots that were found, the sub duplicate is:

\( \frac{4}{3} \)

Therefore, the sub duplicate ratio of 16:9 is

4: 3

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Answer:

-0.37

-2.86

0.91

0.19

1.46

Step-by-step explanation: