Write an expression to represent:
The sum of ten and the quotient of a number 2 and 6.

Answer: 20 Minutes

Step-by-step explanation:

If you are traveling double the speed, the end time is going to be half of the original time.

The point estimate for the difference between the means of the two populations is 3 and the standard error of (x-bar1) - (x-bar2) is approximately 8.372.

The point estimate for the difference between the means of the two populations is calculated by subtracting the sample mean of Sample 2 from the sample mean of Sample 1. In this case, it is 45 - 42 = 3.

The standard error of (x-bar1) - (x-bar2) represents the standard deviation of the sampling distribution of the difference between sample means. It is calculated using the formula:

SE = \(\sqrt{\frac{s_{1} ^{2} }{n_{1}} +{\frac{s_{2} ^{2} }{n_{2}}\)

where s1 and s2 are the sample variances and n1 and n2 are the sample sizes. Plugging in the given values, we have:

SE = \(\sqrt{\frac{85}{10} +\frac{90}{12} }\) ≈ \(\sqrt{8.5+7.5}\) ≈ \(\sqrt{16}\) ≈ 4.0

Therefore, the standard error of (x-bar1) - (x-bar2) is approximately 4.0.

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Answer:

3

Step-by-step explanation:

(6 + 2 x 6)/(15 - 11 + 2)

(6 + 12)/(4 + 2)

18/6

3

Answer:

decimal-

Step-by-step explanation:

-2.2

Total number of letters in alphabet = 26

Number of vowels = 5

Number of letters not vowels(consonants) = 21

Let's find the probability that a letter selected at random is not a vowel.

To find the probability, we have the formula:

Answer:

\(2.28*10^7\)

Step-by-step explanation:

\((2.4*10^3)(9.5*10^3)=(2.4*9.5)(10^3*10^3)=22.8*10^6=2.28*10^7\)

Answer:

228,000

Step-by-step explanation:

(2.4x10^3) x (9.5x10^3)

(2.4x100) x (9.5x100)

240x950

228,000

When performing a significance-test for comparing dependent means, several assumptions are necessary to make a valid inference- Normality, Equal variances, Independence,Random-sampling.

Some of these assumptions are:

Normality: The distribution of differences between the paired observations must be approximately normal.

This can be assessed using a normal probability plot or by conducting a normality test.

Equal variances: The variances of the paired differences should be approximately equal.

This can be assessed using the Levene's test.

Independence: The paired differences should be independent of each other.

This means that each observation in one sample should not influence the corresponding observation in the other sample.

Random sampling: The observations should be selected randomly from the population of interest.

This ensures that the sample is representative of the population.

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Answer:

\(WX=\sqrt{970}\)

Step-by-step explanation:

The diagonals of a kite intersect at a 90-degree angle. In this figure, right triangle \(\triangle WRX\) is formed by half of each of the diagonals.

In any right triangle, the Pythagorean Theorem states that \(a^2+b^2=c^2\), where \(a\) and \(b\) are two legs of the triangle and \(c\) is the hypotenuse.

Segment WR is one leg of the triangle and is given as 21. XR forms the other leg of the triangle, and is exactly half of diagonal XZ. Therefore, \(XR=\frac{1}{2}\cdot 46=23\).

The segment we're being asking to find, WX, marks the hypotenuse of the triangle.

Therefore, substitute our known information into the Pythagorean Theorem:

\(21^2+23^2=WX^2,\\WX^2=970,\\WX=\boxed{\sqrt{970}}\)

Answer:

WX= 31.14

Step-by-step explanation:

Use the Pythagorean theorem- \(a^{2} +b^{2} =c^{2}\)

XR=23 by taking half of 46

\(21^{2} +23^{2} =c^{2} \\441+529=c^{2} \\970=c^{2}\)

sqrt both sides to get your answer of 31.14

Answer:

Step-by-step explanation:

I can't think of many ratios, but here are two:

Ashanti sored:

(9 points)/(1 game), and

(1 game)/(9 points)

If she maintains an average of (9 points)/(1 game), after 14 games we would predict:

(9 points)/(1 game)*(14 games) = 126 points total

The square root of 36 is:

The principal square root is teh non-negative number.

Thus the principal square root is 6.

Answer:

i think 10 or 5

Step-by-step explanation:

Verifying that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c = 2  such that f'(c) = 0.

Given:

Consider the function f(x) = x2 - 4x + 8 on the interval 0, 4. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c such that f'(c) = 0.

f(x)=x^2−4x+8, [0,4]

when, x = 0

f(x) = x^2 -4x +8

f(0) = y = 0 - 0 + 8 = 8

when, x=4

f(5) = y = 16 - 16+8 =

thus, we have 2 points (0, 8) ; (4, 8)

slope,m = {8-(8)} / {4-0} = 0

hence, we have to calculate all the points,x where 0<x<8 and slope=0

f '(x) = 2x - 4 = 0

or, f '(c) = 2c - 4 = 0

c = 4/2 =2 ( 0<x<4)

hence, the there is only one solution c=2 which satisfies Rolle's theorem.

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Answer:

32 : 8

8 : 2

4 : 1

Step-by-step explanation:

32 : 8

8 : 2 (32/4 = 8, 8/4 = 2)

4 : 1 (32/8 = 4, 8/8 = 1)

Hope this helps!

The volume of the sphere is 4/3 times the volume of the cylinder.

It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.

We have,

The volume of the cone is 1/3 the volume of a cylinder.

The volume of a cone is given as:

V = (1/3)πr²h ____(1)

The volume of a cylinder is given as:

V = πr²h _____(2)

From (1) and (2) we get,

(1/3)πr²h = 1/3 πr²h

The volume of a sphere:

V = 4/3 πr³

Since the height of the sphere and the radius is the same we can have

V = 4/3πr²h

So,

Volume of sphere = 4/3 x πr²h

The volume of the sphere = 4/3 x the Volume of the cylinder.

Thus,

The volume of the sphere is 4/3 times the volume of the cylinder.

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Answer: Yes

Step-by-step explanation: 6 times 972= 5832. 451 is less than 972.

Answer:

Step-by-step explanation:

the sum of the internal angles in any triangle is 180°, we have a 60° angle and a right angle (90°). We remove the known angles (90° and 60°) from 180° and we have 30° which is the value of the unknown angle (L).

Angle L = 180 - 90 - 60 =

30°

Answer:

12+5=17

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given equation:

Options (4 of them given)

a) Decrease a number by 0.32 is the same as multiplying by 0.68.

b) Decrease a number by 32% is the same as increasing by 68%.

c) Decrease a number by 0.32 is the same as multiplying by 0.32.

d) Decrease a number by 32% is the same as multiplying by 68%

Answer: -2

Step-by-step explanation:

Slope is rise/ run or y2 - y1 / x2 - x1

We see that y goes down by 6, and x go over by 3

So slope is -6/3 = -2

Each box needs to have a minimum space of 576 cubic inches to hold the toy.

What is a cuboid?

A cuboid is a three-dimensional solid shape that has six rectangular faces, where each face meets at right angles with adjacent faces.

To calculate the space required for each box to hold a toy that is 8 inches tall by 12 inches wide and 6 inches deep, we need to calculate the volume of the toy.

The volume of the toy can be calculated as:

Volume = height x width x depth

Volume = 8 inches x 12 inches x 6 inches

Volume = 576 cubic inches

Therefore, each box needs to have a minimum space of 576 cubic inches to hold the toy.

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The expression that represents the total cost of buying and shipping the baseball cards,

= 6(1.75) + 5(9.5) + 2(20.5) + 4

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

Jake is buying baseball cards for his brother in college.

The price of a card is based on its condition.

The table shows the total cost of x number of cards for each condition.

He buys 6 that are in fair condition, 5 that are in good condition, and 2 that are in excellent condition.

The shipping cost for the baseball cards is $4.00.

The expression that represents the total cost of buying and shipping the baseball cards,

= 6(1.75) + 5(9.5) + 2(20.5) + 4

= 10.5 + 47.5 + 41 + 4

= 103

Therefore, the total cost is $103.

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Answer: 3π in terms of pi or 9.42 if in π or pi= 3.14

Step-by-step explanation:

Using the concept of percentages the total earning of Cara can be found to be $4200.

Percentage is a number expressed as a fraction of 100. The % sign means to divide the number by 100.

Cara's earning = commission + basic salary

basic salary = $1800 (this is constant)

commission = 6% of $40000

= (6/100)*40000

= $2400

Cara's earning = 1800 + 2400

Hence, her earning is $4200

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We have to solve for x:

Multiply both sides of the proportion by 32:

Simplify:

Answer:

B

Step-by-step explanation:

because

Answer:

4

Step-by-step example

Slop is the

The expressions are not equal and the explanation is wrong because the index forms have different exponential values.

The correct answer is  14^-1/3

Equivalent expressions are known as expressions that are the same solution but differ in the mode of their arrangement.

From the information given, we have the index forms;

(14^0/14^3)^1/3=14^-2/3

It is important to note that exponents with zero equals 1.

Then, we have that;

1/14^1/3 = 14 ^-2/3

Take the inverse of the exponent

14^-1/3 is not equal to 14^-2/3

Hence, the correct answer is 14^-1/3

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Random numbers generated by a mathematical process instead of a physical process are pseudorandom numbers.

A pseudorandom number is a number that appears to be random but is created using a deterministic process. In other words, it is a number generated by an algorithm that looks random but is not truly random. Pseudorandom numbers are frequently used in simulations, computer games, and cryptography.

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M = A + |B| is the function's highest possible value. When sin or cos x equals 1, this maximum value is reached. m = A |B| is the function's lowest possible value. If either cos x or sin x is equal to 1, this minimum will be reached.

Example :

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The prefix associated with the multiplier 0.001 is "milli-."

The International System of Units (SI) uses prefixes to denote decimal multiples and submultiples of units. The prefix "milli-" corresponds to a multiplier of 0.001. Here's a stepwise explanation of how this prefix is determined:

1. Identify the multiplier: The given multiplier is 0.001.

2. Understand the prefix: The prefix "milli-" represents a factor of 1/1000 or 0.001.

3. Determine the prefix symbol: The symbol for "milli-" is "m." It is written in lowercase.

4. Attach the prefix: To express a unit with the multiplier 0.001, you attach the prefix "milli-" to the base unit. For example, if the base unit is meter (m), the millimeter (mm) represents 0.001 meters.

5. Other examples: The milligram (mg) represents 0.001 grams, the millisecond (ms) represents 0.001 seconds, and the milliliter (mL) represents 0.001 liters.

By using the "milli-" prefix, we can conveniently express values that are a thousandth of the base unit, allowing for easier comprehension and communication in various scientific and everyday contexts.

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