Hannah has another candle that is 14 cm tall. How fast must it burn in order to also be 6 cm tall after 4 hours? Explain your thinking.

Answer:

x/4

Step-by-step explanation:

x + 4/4 = y + 3/3

do cross multiplication

4(y +3)=3(x +4)

4y +12=3x +12

4y=3x + 12 -12

4y=3x

y/3 = x/4

Answer:

A = 54 is the correct answer!

Step-by-step explanation:

I did this test too! Hope this helped!

The correct answer which refers to the z-statistic for this data is b)0.90.

The hypothesis Test refers to the statistical approach where the test is applied to an assumption regarding a population parameter.

It is given that µ = 115 and Sigma = 30.

sample size is 25 with a mean of 120.4

The formula for z-statistic is

z = (x – u) / (σ / sqrt n)

Therefore, we input the values and we get

z = (120.4 – 115) / (30 / sqrt 25)

We calculate further and we get

z = 0.90

Therefore, the correct answer is option b.

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Answer: B. 0.90

Step-by-step explanation:

repeated multiplication by the base

Answer:

243 m³

Step-by-step explanation:

The volume of a rectangular pyramid is given by:

\(V = \frac13lwh\)

Where

l = length = 9m

w = width = 9m

h = height = 9m

so the volume is 1/3*9*9*9 = 243 m³

Answer:

243

Step-by-step explanation:

The formula for the volume of a square-based pyramid is

\(V=\frac{lwh}{3}\)

\(l\) = length

\(w\) = width

\(h\) = height

\(V=\frac{9 \times 9 \times 9}{3}\)

\(V=\frac{729}{3}\)

\(V=243\)

The area is 243 cubic meters.

The statement is True only for independent events and False otherwise. The statement "p (A ∩ B) = p(A). p(B)" is not always true for any two events A and B defined on a sample space S of an experiment.

This equation only holds true if A and B are independent events, meaning that the occurrence of one event does not affect the probability of the other event happening. In other words, p(A|B) = p(A) and p(B|A) = p(B).

If A and B are dependent events, meaning that the occurrence of one event affects the probability of the other event happening, then the equation does not hold true. In this case, the probability of A and B occurring together (p(A ∩ B)) would be less than the product of the probabilities of A and B occurring separately (p(A).p(B)).

Therefore, the statement is not always true and depends on whether A and B are independent or dependent events.

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Answer:

12,500,000 (twelve million five hundred thousand) is an even eight-digits composite number following 12499999 and preceding 12500001. In scientific notation, it is written as 1.25 × 107.

Step-by-step explanation:

There are 3,125 possible sequences if five jobs are in the queue for an operation, and there are no constraints on the order or repetition of jobs.

If there are no constraints on the order of the jobs in the queue, and each job can appear more than once in the sequence, we can calculate the number of possible sequences using the concept of permutations with repetition.

In this case, we have five jobs to consider. Let's label them as Job 1, Job 2, Job 3, Job 4, and Job 5. For each position in the sequence, there are five possible jobs that can be assigned to that position. Since there are five positions in total, we can multiply these possibilities together to get the total number of sequences.

To illustrate this, let's break down the calculation step by step:

For the first position, there are five possible jobs: Job 1, Job 2, Job 3, Job 4, and Job 5.

For the second position, there are also five possible jobs: Job 1, Job 2, Job 3, Job 4, and Job 5.

Similarly, for the third, fourth, and fifth positions, there are five possible jobs each.

Since each position has five possible choices, we can multiply these choices together:

5 * 5 * 5 * 5 * 5 = 5⁵ = 3125

Therefore, there are 3,125 possible sequences if five jobs are in the queue for an operation, and there are no constraints on the order or repetition of jobs.

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Let original amount be x

\(\\ \tt\Rrightarrow 0.33x=18.5\)

\(\\ \tt\Rrightarrow x=18.5/0.33\)

\(\\ \tt\Rrightarrow x=56.06oz\)

\( \huge \sf \dag Answer : \)

suppose, x = lots of cereal now.

\(\longmapsto \rm 33\%y = 18.5ounces\)

\(\longmapsto \rm y = \frac{18.5ounces}{33\%}\)

\(\longmapsto \rm y = \boxed{\bold{56.06ounces}}\)

Answer:

When dividing two fractions, the process is very easy.  You simply multiply the numerator fraction by the reciprocal of the denominator fraction.  In other words:

\(\frac{a}{b} \div \frac{c}{d} \\= \frac{a}{b} \times \frac{d}{c} \\= \frac{a \times d}{b \times c}\)

Solution;

From the given question, we have

To evaluate the proportion of people that spend at least 5 hours per day on their home computers,

Step 1: Evaluate the z score value.

The z score value is expressed as

In this case,

thus, we have the z score value to be evaluated as

Step 2: Evaluate the probability that people will spend at least 5 hours per day on their home computers,

From the normal distribution table, we have

This implies that

Hence, the proportion that spends at least 5 hours per day on their home computers is evaluated to be

The speed of the light in miles per hour is

66913574.4 miles per hour

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 minute = 60 seconds

1 km = 1000 m

1 hour = 60 minutes

We have,

1 km = 0.62 mi

1 min = 60 s

1 hr = 60 min

Speed of light = 299,792 km per second

This can be written as,

1 km = 0.62 miles

299792 km = 299792 x 0.62 miles

299792 km = 185871.04 miles

1 hour = 60 minute

1 hour = 360 seconds

1/360 hour = 1 second

1 second = 1/360 hour

Now,

= 299792 km / 1 second

= 185871.04 miles / 1/360 hour

= 185871..04 x 360 miles per hour

= 66913574.4 miles per hour

Thus,

The speed of the light is 66913574.4 miles per hour.

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Answer:

y = 2x - 1

Step-by-step explanation:

y = 2x - 2;    (3, 5)

                    (x₁, y₁)

y - y₁ = m(x - x₁)

y - 5 = 2(x - 3)

y - 5 = 2x - 6

  +5          +5

-----------------------

y = 2x - 1

I hope this helps!

Answer:

20 the answer is 20 because you plug in 4 for n.

The values of the number expression as a fraction are 1/9, 1/64, and 1/64 respectively after applying the properties of the integer exponent.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

The number expression:

After applying the properties of the integer exponent.

A )3⁻²

= 1/9

b)4⁻³

= 1/64

C)2⁻⁶

= 1/64

Thus, the values of the number expressed as a fraction are 1/9, 1/64, and 1/64 respectively after applying the properties of the integer exponent.

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Answer:

Option (A)

Step-by-step explanation:

Plane is travelling at a constant speed = K miles per hour

K = \(\frac{\text{Distance}}{\text{Time}}\)

Distance = k(Time)

For Time of traveling = 1 hour

Distance traveled = k × 1

                              = k miles

Therefore, k miles will be traveled in one 1 hour and ordered pairs of the given point on the line will be (1, k)

Option (A) will be the correct option.

Step-by-step explanation:

(2*3-3*2-8)-(-5*3-2*2+7*2-3)

(6-6-8)-(-15-4+14-3)

(12-8)-(-15-18-3)

4-33-3

37-3

34

We can see here that the number of customers recorded at lunch is: 220 customers.

A ratio is a comparison of two values that is typically stated as a fraction. The relationship between two things in terms of their size or quantity can be described using ratios.

Let:

B = Breakfast

L = Lunch

D = Dinner

Note: D = L - 10 - (1)

The ratio of breakfast to lunch: B:L = 7:4.

B/L = 7/4

B = (7/4) L

The ratio of breakfast to dinner: B:D = 11:6.

B/D = 11/6

B = (11/6) D

(7/4) L = (11/6) D

Multiplying both sides by 12, we get =

21L = 22D

Substituting this into the previous equation

21L = 22(L - 10).

Simplifying, we have:

L = 220/1 = 220

Therefore, there were 220 customers recorded at lunch.

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Answer:

The answer to your problem is, 210

Step-by-step explanation:

The customers at

breakfast : lunch = 11:6

lunch : breakfast = 6:11

= 42:77

and breakfast dinner = 7:4

= 77:44

∴ Lunch : Breakfast : Dinner = 42:77:44

Let the number of customers at lunch = 42x

Number of customers at dinner = 44x

By the question;

The number of customers at lunch = Number of customers at dinner - 10

z = 42n = 44x - 10

z = 44x - 42n = 10

z = 2x = 10

z = x = 5

∴ Number of customers at lunch

= 42x

= 42 × 5

= 210

Thus the answer to your problem is, 210

A self-selecting sample is not likely to be representative. The reason why a self-selecting sample is not likely representative would be discussed below.

A self-selection sample is determined by the individual that are used as data for the research. They are the ones that will determine the inclusion or exclusion of the sample units by either affirming or declining to participate.

The reason self-selecting sample is not likely to be representative is that it is too bias as the individuals that volunteered may not be able to satisfy the goals of the research.

Therefore, a self-selecting sample is not likely to be representative.

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The number of 4-letter words that can be formed without any condition imposed is 8,064.

To determine the number of 4-letter words that can be formed without any conditions, we can use the concept of permutations. Since we have 8 options (a, b, c, d, e, f, g) for each letter position, we can multiply the number of options for each position to find the total number of possibilities.

For the first letter position, we have 8 options to choose from. Similarly, for the second, third, and fourth positions, we also have 8 options each. Therefore, the total number of possibilities is:

8 options for the first position × 8 options for the second position × 8 options for the third position × 8 options for the fourth position = 8 × 8 × 8 × 8 = 8,064.

Hence, there are 8,064 possible 4-letter words that can be formed without any conditions imposed.

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Answer:

the answer is 3x

Step-by-step explanation:

Step by Step Solution:

More Icon

STEP

1

:

           1

Simplify   —

           2

Equation at the end of step

1

:

        3           1

 (x +  (— • x)) +  (— • x)

        2           2

STEP

2

:

           3

Simplify   —

           2

Equation at the end of step

2

:

        3          x

 (x +  (— • x)) +  —

        2          2

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  2  as the denominator :

         x     x • 2

    x =  —  =  —————

         1       2  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • 2 + 3x     5x

——————————  =  ——

    2          2  

Equation at the end of step

3

:

 5x    x

 —— +  —

 2     2

STEP

4

:

Adding fractions which have a common denominator

4.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

5x + x     6x

——————  =  ——

  2        2  

Reducing to Lowest Terms :

4.2      The above result can still be reduced :

    6x      

    —— = 3x  

    2        

Final result :

 3x

Answer:

37.26 div by 54=0.69

Step-by-step explanation:

2 I believe, there are 6 possibilities on a die, 1-2-3-4-5-6. 4 is one of those numbers. Any of the sides could be rolled so each has a probability of 1 out of 6. 1/6 is your answer.

Answer: I Think it's 20%

Arithmetic overflow error converting numeric to data type numeric can be solved by increasing the precision and the scale, storing number in different data type or use user-defined datatype.

An "arithmetic overflow error converting numeric to data type numeric" error occurs when you try to store a number in a numeric column that is too large to be represented by the specified precision and scale. To resolve this error, you have a few options:

Increase the precision and scale of the numeric column, you can increase the precision and scale of the numeric column so that it can store larger numbers.

If you don't need the precision and scale of a numeric column, you can store the number in a different data type, such as float or big int.

 If the number is too large to be represented in the numeric column, you can round it to a smaller value before inserting it into the database.

 If the number is still too large to be represented in a numeric column or a different data type, you can create a custom data type in SQL Server to store the number.

It's important to choose the right solution based on your requirements and the specific use case. You may also need to consider the performance implications of each solution, especially if the data being stored is very large or complex.

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