The volume of a box is 192 cubic inches.
The height is 4 inches. The width is 2
inches more than the length. Find the
missing dimensions.

3198 x 750 equals 2,398,500. We may use the distributive approach to solve 3198 x 750 without a calculator by multiplying each digit of one number by each digit of the other number, starting with the rightmost digit.

We may use the distributive approach to solve 3198 x 750 without a calculator by multiplying each digit of one number by each digit of the other number, starting with the rightmost digit.

markdown

3198 \s x 750

23970 (8 x 0), 319800 (9 x 0 + 9 x 5) and 2398500 (9 x 0 + 9 x 7 + 8 x 5) are the numbers.

Because of this, 3198 x 750 equals 2,398,500.

When a problem or question asks to be solved "without using a calculator," it signifies that the answer must be determined by hand without the aid of a calculator or any other electronic instrument. This is frequently used to assess a person's math prowess and to motivate them to hone their problem-solving and mental math ability.

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Based on the information in the graph and the figures, we can infer that a true statement about these figures is: There is at least one similarity transformation that will map ABCD to EFGH.

According to the information in the graph, we can show that the figures ABCD and DEFG are similar in shape. In fact, we could say that ABCD is a smaller scale than DEFG, because their sides and angles are similar.

However, this figure has some transformations, in particular the most notorious transformation is the rotation that has been given to it in the form of a mirror due to the fact that its longest side is to the left and not to the right like the DEFG figure.

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Answer:

10x+9

Step-by-step explanation:

total fence=3(2x+3)+4x=6x+9+4x=10x+9

The expression with the smallest probability is: (C) P(z > 2), if z is a standard Normal random variable.

A z-core is also known as a standard score and it can be defined as a measure of the distance between a data point (raw score) and the mean, when standard deviation units are used.

In Statistics, z-scores can either be positive or negative and it is calculated by using this formula:

\(Z=\frac{x\;-\;u}{\delta}\)

Where:

In this exercise, we would have the smallest probability for P(z > 2), when z is a standard Normal random variable.

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Using the probability concept, it is found that the simulation that would not work for the situation described is:

D. To simulate randomly selecting a letter of the alphabet, assign a one-digit number from 0 to 9 to each letter. Use a random digit table to generate one-digit numbers, ignoring any over 9.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

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Using the distributive property we have that multiplying by some terms grouped in parenthesis is the same as multiplying each term.

On one hand:

2(x+3) = 2 · x + 2 · 3

= 2x + 6

On the other:

(x+4)​ = x + 4

Then

2(x+3) + (x+4)​ = 2x + 6 + x + 4

We combine like terms in the expression

2x + 6 + x + 4

terms with x: 2x and x

numbers: 6 and 4

adding them we have that:

terms with x: 2x + x = 3x

numbers: 6 + 4 = 10

Then

2x + 6 + x + 4

= 3x + 10

Answer: 2(x+3) + (x+4)​ = 3x + 10

Using concepts of Errors and Measurement, we got 252cm³ will be  the maximum error in volume of sphere.

We know that volume(V) of sphere is given by  =\(\frac{4.\pi .r^{3} }{3}\),where r is the radius of the volume.

If the error in the measured value of r is denoted by then the corresponding error in the calculated value of Volume is , which can be approximated by the differentiating the volume with respect to radius.

When r = 20 and dr = 0.05, this becomes:

d(V)/dr = 4×π×r²

=>d(V)=(4×π×r²)×dr

On putting the values,

=>d(V)=4×π×(20²)×(0.05)

=>d(V)=4×3.14×400×0.05

=>d(V)=252

Hence, the maximum error is 252cm³ in calculating the volume of sphere if we use the given radius.

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Answer:

70/100*130= $91

Step-by-step explanation:

Answer:

$91

Step-by-step explanation:

CP= $70

Markup= 30%

Answer:

b=98 and a=82

Step-by-step explanation:

b and 98 are corrisponding angles which means that they are both 98

a+b=180 because it is a straight line

a+98=180 subtract 98 from both sides a d you get a=82

Answer:

C. 1/3

Step-by-step explanation:

1. convert 3x + y = 1 to slope form: y = -3x +1

2. Perpendicular slope: negative reciprocal of the given slope

3. Given slope = -3x

4. Perpendicular slope = -(1/-3) = 1/3

Answer:

D

Step-by-step explanation:

The nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and d = - 3 , then

\(a_{n}\) = 8 - 3(n - 1) = 8 - 3n + 3 = - 3n + 11 → D

Step-by-step explanation:

I hope this answer is helpful ):

The solution to the system of equations y = 1.5x - 4 and y = -x  is (1.6,-1.6). The correct answer is D.

The solution to the system of equations can be calculate as follows

From the question we can conclude that the equations are :

y = 1.5x - 4

y = -x

to find the value of x and y  we can substitute y = -x in the first equation so it became

-x = 1.5x - 4

-1.5x - x = -4

-2.5x = -4

x = 1.6

after we found the value of x we can find the value of y by Substitute

x = 1.6 in y = -x

y = -1.6

Therefore, the solution to the y = 1.5x - 4 and y = -x  is (1.6,-1.6).

Your question is incomplete but most probably your full question was

What is the solution to the system of equations y = 1.5x – 4 y = –x

a.(–1.6, 1.6)

b.(–1.5, 1.5)

c. (1.5, –1.5)

d. (1.6, –1.6)

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Answer:

Yes

Step-by-step explanation:

20 needed to get 80 %. You got one more than that so you got slightly more. So yes you did. You can also make 25 to 100 and 21 x4 so  that gives you 84 % . So you scored %84.

Good job

Answer:

15 inches

Step-by-step explanation:

The shortcut for finding the side lengths on a 30°-60°-90° triangle is that the long leg is

the short leg × √3.

So for your question:

5√3 × √3

= 5 × √3 × √3

= 5 × 3

= 15

Just in case it comes up next, the other shortcut is that the hypotenuse is double the short leg. Hypotenuse =

2 × 5√3 = 10√3

Answer:

to diffcult

Step-by-step explanation:

go to school ask ur teacher

Answer:

182,156.8

Step-by-step explanation:

214 x 912 x 14 = 2,732,352

1/15 of that Volume is 182,156.8

P.S. I'm assuming you meant 1/15, when you said the volume was 15 of

Follow my gram it's Greyhasnoshame

Answer:

w = -3

Step-by-step explanation:

Try M*thway for problems like these. For future reference! I had to censor the site but you probably know what it is.

At 5 percentage significance level, we have sufficient evidence to conduct that μ is less than 20.

After getting excellent news, people often behave more generously. After receiving negative news, do they become less giving? Adult Americans tip 20% of the whole bill on average. Give 20 diners a notice on their bill informing them that the weather is going to be poor tomorrow, and then keep track of the tip % they left. The tips are shown in Table 1 as a percentage of the total bill.

Table :  18.0 19.1 19.2 18.8 18.4 19.0 18.5 16.1 16.8 18.2 14.0 17.0 13.6 17.5 20.0 20.2 18.8 18.0 23.2 19.4

Suppose that tip percentage is Normal with ? = 2 and assume that the patrons in this study are a random sample of all patrons of this restaurant. Is there good evidence that the mean tip percentage for all patrons of this restaurant is less than 20 when they receive a message warning them of tomorrow’s bad weather? State \(H_{o}\) and \(H_{a}\) and carry out a significance test. Use significance level 0.05.

The given data is :

18.0, 19.1, 19.2, 18.8, 18.4, 19.0, 18.5, 16.1, 16.8, 18.2, 14.0, 17.0, 13.6, 17.5, 20.0, 20.2, 18.8, 18.0, 23.2, 19.4

Therefore, sample mean,

X = ∑x / n

X = \(\frac{18+19.1+19.2+19.3+....19.5}{20}\)

X = 18.19

Now test : μ  < 20 with normal distance

Hypothesis test:

\(H_{o}\) = μ ≥ 20

\(H_{a}\) = μ ≤ 20

This is the lower tailed test.

X = 18.19

σ = 2

n = 20

Significant level, α = 0.05

Test statistics,

z = ( X-μ ) / (σ / \(\sqrt{n}\) )

z = \(\frac{18.19-20}{2\sqrt{20} }\)

z = -4.05

P value is in direction of alternative hypothesis or \(H_{a}\)

Since,  \(H_{a}\) ≤ 20 P value = P(Z<-4.05)

P value is the area to the left of the test statistics = -4.05 (from the figure)

P value = P(Z< -4.05) = 0.000 (from z table)

P value = 00000

Rejection rule : Reject  \(H_{o}\)  if P value < α

Using excel functional normdist (   \(\frac{18.19-20}{2\sqrt{20} }\) , 0 , 1 , TRUE ) or TI's function normaldf ( 1E-99 ,   \(\frac{18.19-20}{2\sqrt{20} }\) )  answer is 0.0000259078

Decision : Since 0.0000 < 0.05, we reject the null hypothesis

Therefore,

At 5 percentage significance level, we have sufficient evidence to conduct that μ is less than 20.

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When school starts at 7.50 am and finishes at 2.45 pm then the school day lasts 6 hours and 57 minutes.

To calculate the duration of the school day, we need to subtract the start time from the finish time.

Start time: 7.50 am

Finish time: 2.45 pm

First, let's convert the finish time to the 24-hour format for easier calculation.

Finish time (converted): 2.45 pm = 14.45

Now, we can subtract the start time from the finish time:

14.45 - 7.50 = 6.95 hours

However, we need to convert this decimal value to hours and minutes since we're dealing with time.

0.95 hours is equal to 0.95 * 60 = 57 minutes.

Therefore, the school day lasts for 6 hours and 57 minutes.

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The -value of the test is 1.90. This indicates that the mean processing time is significantly greater than 5.5 hours, supporting the manufacturer's desire to set a standard time required by employees to complete a certain process

The t-value will be equal to 1.39 for the given statistics.

To test if the mean processing time exceeds 5.5 hours, we can use a one-sample t-test.

The null hypothesis is that the mean processing time is less than or equal to 5.5 hours:

H0: µ ≤ 5.5

The alternative hypothesis is that the mean processing time is greater than 5.5 hours:

Ha: µ > 5.5

We will use a significance level of 0.05.

The formula for the t-test statistic is:

t = (X - µ) / (s / √n)

Where:

X = sample mean

µ = hypothesized population mean

s = sample standard deviation

n = sample size

Substituting the given values, we get:

t = (6 - 5.5) / (2 / √21) = 1.386

The degree of freedom for the t-test is n-1 = 20.

Using a t-table or calculator, the p-value associated with a t-value of 1.386 and 20 degrees of freedom is 0.093.

Since the p-value (0.093) is greater than the significance level (0.05), we fail to reject the null hypothesis. Therefore, there is not enough evidence to suggest that the mean processing time exceeds 5.5 hours.

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Answer:

y = (2/3)x

Step-by-step explanation:

y = mx + b

y = (2/3)x + b

2 = (2/3)(3) + b

2 = 2 + b

b = 0

y = (2/3)x

Answer: 22.9

Step-by-step explanation:

1. 40 divided by 1.75 = 22.8571428571

2. Round that up to 22.9

Answer:

You don't need to overthink this one, it's not asking for any exact values or estimates so all you do is 40/1.75 which gives you 22.8571428571. Since it's asking for 1 decimal place then the answer would be 22.9 litres of petrol.

(D) Its mean is equal to its median is NOT a characteristic of a Normal curve.

While it is true that the mean and median are equal in a symmetrical distribution like the Normal curve, not all distributions with equal mean and median are symmetrical and Normal.

In a Normal distribution, the mean, median, and mode are equal and located at the center of the bell-shaped curve. However, in a skewed distribution, the mean and median may still be equal but the distribution will not be symmetrical or bell-shaped.

The most important continuous probability distribution in probability theory and statistics is known as the Normal Distribution, commonly known as the Gaussian Distribution.

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So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

Answer:12c.

Step-by-step explanation:

The given information states that 12 grams of carbon occupies a volume of 22.4 liters. To understand the relationship between the mass and volume of a substance, we need to consider its density.

Density is defined as the mass of a substance per unit volume.

To find the density of carbon, we divide the mass (12 grams) by the volume (22.4 liters).

Density = Mass / Volume

Density = 12 grams / 22.4 liters

To simplify the calculation, we need to convert the volume from liters to cubic centimeters (cm³) since the density is typically measured in g/cm³. There are 1000 cm³ in 1 liter.

Volume (cm³) = 22.4 liters x 1000 cm³/liter

Now, we can calculate the density.

Density = 12 grams / (22.4 liters x 1000 cm³/liter)

Simplifying the calculation gives:

Density = 0.536 g/cm³

So, the main answer is that the density of carbon is approximately 0.536 g/cm³.

We can conclude that the given information allows us to determine the density of carbon. Density is an important property of a substance and represents the mass of the substance per unit volume. In this case, 12 grams of carbon occupies a volume of 22.4 liters

By dividing the mass by the volume, we find that the density of carbon is approximately 0.536 g/cm³. This means that for every cubic centimeter of carbon, it weighs 0.536 grams

Understanding the density of a substance is useful in various fields, including chemistry, physics, and engineering, as it helps in identifying and characterizing different materials.

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It is possible to use a relational operator and math operators in the same expression.

In programming, you can use relational operators (e.g., <, >, ==, !=) and math operators (e.g., +, -, *, /) together in the same expression. This is often used in conditional statements or loops to compare calculated values.

For example, consider the following expression:

`if (2 * 3) > (4 + 1)`

In this expression, we have math operators (*) and (+) and a relational operator (>). The math operations are evaluated first, resulting in:

`if (6) > (5)`

Then, the relational operator (>) is evaluated, and the expression becomes:

`if True`

The expression is true because 6 is greater than 5.

It is possible to use both relational operators and math operators in the same expression, which can be useful in various programming situations such as conditional statements or loops.

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Answer:

All of the values in the data are used in calculating the mean.

The sum of the deviations is zero.

There is only one mean for a set of data.

Step-by-step explanation:

Required

True statement about arithmetic mean

(a) False

The mean can be equal to, greater than or less than the median

(b) True

The arithmetic mean is the summation of all data divided by the number of data; hence, all values are included.

(c) True

All mean literally represent the distance of each value from the average; so,  when each value used in calculating the mean is subtracted from the calculated mean, then the end result is 0. i.e.\(\sum(x - \bar x) = 0\)

(d) True

The mean value of a distribution is always 1 value. When more values are added to the existing values or some values are removed from the existing values, the mean value will change.

(e) False

Nominal data are not numerical or quantitative data; hence, the mean cannot be calculated.