12 √(8^4)

What’s the value

Answer:

363,000,000

..........

Answer:

2(x + 1)

Step-by-step explanation:

x is the unknow number.  Add 1 to that and then take that expression (x+1) and multiply it by 2.

The right response is 400%. In other words, Johnny moves at four times the pace of Jane.

We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.

We may compare the speeds as a fraction to figure out the ratio:

Johnny's speed divided by Jane's speed equals 4/1.

This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.

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Answer:

you could fit 7776 people on the gym floor for an event.

Step-by-step explanation:

The Locust Grove gymnasium has an area of 54 yd x 40 yd = 2160 square yards. To find the number of people that can fit on the gym floor, we need to convert the area of the gym floor to square feet and divide it by the number of square feet each person takes up.

We know that 1 yard = 3 feet, so we have to convert the area of the gymnasium in square yards to square feet by multiplying it by (3*3) = 9.

So the area of the gymnasium in square feet is 2160*9 = 19440 square feet.

To find the number of people that can fit on the gym floor, we divide the area of the gym floor by the number of square feet each person takes up.

19440 square feet / 2.5 square feet/person = 7776 people

The axis of symmetry of the function f(x) = x² - 6x-1 is equal to 3.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry, Xmin = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

By substituting the parameters, we have the following:

Axis of symmetry, Xmin = -b/2a

Axis of symmetry, Xmin = -(-6)/2(1)

Axis of symmetry, Xmin = 6/2

Axis of symmetry, Xmin = 3.

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Answer:

The base is: \(3 \sqrt[3]{4}\)

Step-by-step explanation:

Given

\(f(x) = \frac{1}{4}(\sqrt[3]{108})^x\)

Required

The base

Expand 108

\(f(x) = \frac{1}{4}(\sqrt[3]{3^3 * 4})^x\)

Rewrite the exponent as:

\(f(x) = \frac{1}{4}(3^3 * 4)^\frac{1}{3}^x\)

Expand

\(f(x) = \frac{1}{4}(3^3^\frac{1}{3} * 4^\frac{1}{3})^x\)

\(f(x) = \frac{1}{4}(3 * 4^\frac{1}{3})^x\)

Rewrite as:

\(f(x) = \frac{1}{4}(3 \sqrt[3]{4})^x\)

An exponential function has the following form:

\(y=ab^x\)

Where

\(b \to base\)

By comparison:

\(b =3 \sqrt[3]{4}\)

So, the base is: \(3 \sqrt[3]{4}\)

Answer:

B

Step-by-step explanation:

good luck

The standard error represents the average deviation of the sample means from the true population mean. Rounding this value to four decimal places, the standard error of X¯¯¯ is approximtely 0.6500 mpg.

A smaller standard error indicates that the sample means are more likely to be close to the population mean.To calculate the standard error of X¯¯¯, the mean from a random sample of 25 fill-ups by one driver, we can use the formula:

Standard Error (SE) = σ / sqrt(n),

where σ is the standard deviation and n is the sample size.

In this case, the standard deviation (σ) is given as 3.25 mpg, and the sample size (n) is 25.

Plugging in these values into the formula, we have:

SE = 3.25 / sqrt(25).

Calculating the square root of 25, we get:

SE = 3.25 / 5.

Performing the division, we find:

SE ≈ 0.65.

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It should be noted that the number of sample size based on the information will be 300.

In order to calculate the sample size, we can use the following formula:

n = z² * p * (1-p) / E²

n = 1.96² * 0.5 * (1-0.5) / 0.05²

= 300

A questionnaire is a method of gathering data that makes use of written questions to be answered by the respondents. It is a popular method of data collection because it is relatively easy to administer and can be used to collect a wide variety of information.

In the first column, the population is the entire National Capital Region (NCR). The sample is the city of Manila. In the second column, the population is all STEM students. The sample is all academic track students. In the third column, the population is all the tablespoons of sugar in the jar. The sample is one tablespoon of sugar. In the fourth column, the population is all the vowels in the word "juice". The sample is the vowel "i".

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The amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2

The meaning of unit price is a price quoted in terms of so much per agreed or standard unit of product or service

Given that, a woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost $5.40 and the meat cost $6.40,

We need to find, if she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay,

To find the same, we will first find the unit price of each,

Unit price = total price / total quantity

Since, 1.8 kg of chicken costs $5.40,

Therefore, 1 kg will cost = 5.40 / 1.8 = $3

Similarly,

If 1.6 kg of meat costs $6.40,

Therefore, 1 kg will cost = 6.40 / 1.6 = $4

Now, to find the cost of 2.4 kg of chicken and 2 kg of meat, we will multiply the unit prices to the required quantities,

Therefore,

2.4 kg of chicken will cost = 2.4 x 3 = $7.2

2 kg of meat will cost = 2 x 4 = $8

In total, she had to pay = 8+7.2 = $15.2

Hence, the amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2

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Triangle ABC rises 4 units and runs 2 units.

Triangle CDE rises 8 units and runs 4 units.

The slope of line m is 2.

In Mathematics, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = rise/run

By substituting the given data points into the slope formula, the slope of triangle ABC and triangle CDE can be  calculated as follows;

Slope (m) of ABC = rise/run

Slope (m) of ABC = 4/2

Slope (m) of ABC = 2.

For triangle CDE, we have:

Slope (m) of CDE = rise/run

Slope (m) of CDE = 8/4

Slope (m) of CDE = 2.

In conclusion, line m has a slope of 2.

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Answer:

\(=8 \dfrac{3}{4} jams\)

Step-by-step explanation:

Given that:

Priya has \(1\dfrac{3}{4} \ cups \ of \ raspberries\)

If she uses \(\dfrac{1}{5} cups \ on \ jam\)

∴

Then she will be able to make:

\(=1\dfrac{3}{4} \div \dfrac{1}{5}\)

\(= \dfrac{7}{4} \times \dfrac{5}{1}\)

\(= \dfrac{35}{4}\)

\(=8 \dfrac{3}{4} jams\)

Answer:

C

Step-by-step explanation:

All sides make a cube

Answer:

D

Step-by-step explanation:

It is not possible to find a combination using addition and multiplication of the given single-digit numbers that totals exactly 100 while keeping the same order.

To combine the single-digit numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 using only addition and multiplication so that they total 100 while keeping the same order, we can form the following expression:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9

In this expression, we group the numbers 7 and 8 together to form 78. Then, we add all the other numbers from 1 to 6 and the number 9. Adding them up, we get:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9 = 108

Unfortunately, the sum obtained from this expression is 108, not 100 as required.

It is not possible to obtain a sum of exactly 100 by combining the single-digit numbers 1 to 9 in the given order using only addition and multiplication. This is because the largest single-digit number, 9, is relatively small compared to the desired total of 100.

Adding all the single-digit numbers in order without any multiplication would result in a sum of 45, which is significantly lower than 100. Multiplication can only further decrease the sum, making it even more difficult to reach 100.

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Answer:

Step-by-step explanation:

The numbers 27 and 63 have a greatest common factor of 9, but that is not a factor of 172. The greatest common factor of all three numbers is 1, so ...

(i) the largest number of gift bags that can be packed is 1

(ii) in each bag will be 172 pens, 63 pencils, and 27 erasers.

Answer:

c

Explanation:

Just because

Answer:

f(0) = 1

Step-by-step explanation:

We are given the following function:

f(x) = 5x + 1

We want to find f(0), which is the value of f when x = 0. So

f(0) = 5*0 + 1 = 0 + 1 = 1

So

f(0) = 1

Answer:

518

Step-by-step explanation:

let x be the number of people who likes the science the most.

x / 700 x 100 0.74

x = 518

Answer:

518 students

Step-by-step explanation:

74% of 700

After cutting the squares, the length of each shorter side (and the side length of each triangular quilt piece) is approximately 14√2 inches i.e. B.

What are squares?

A square is a two-dimensional shape with four straight sides that are of equal length and four right angles (90-degree angles) at the corners. It is a special case of a rectangle, where all four sides are the same length. A square can also be thought of as a special type of rhombus, where the angles are all right angles.

Now,

Since the hypotenuse of each triangle is 28 inches long, we know that this is also the longest side of the right triangle formed by the two shorter sides of the triangle. Let's call one of the shorter sides x.

Using the Pythagorean Theorem, we can find the length of the other shorter side:

c²= a² + b²

28² = x² + x²

784 = 2x²

x² = 392

x = √(392)

x=14√2 in

Therefore, the length of each shorter side (and the side length of each triangular quilt piece) is approximately 14√2 inches (rounded to two decimal places).

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Answer:

ratio of tomato to other ingredients

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

The given sequence is an arithmetic sequence where the difference between one number and the previous number is -6

For example, 30 - 36 = -6

24-30 = -6

18 - 24 = -6

This constant difference is known as the common difference

The next number in the sequence will be 6 less than 18 = 18-6 = 12

Answer:

The correct answer is "\(\frac{2}{7}\)".

Step-by-step explanation:

According to the question,

Number of students,

= 35

A ! mid term A,

\(n(A) = 20\)

B : final A,

\(n(B) = 13\)

Didn't start,

\(n(A^c \cap B^c) = 12\)

Now,

⇒ \(n(A \cup B)=35-12\)

                   \(=23\)

then,

⇒ \(n(A \cup B)=20+13-23\)

                   \(=10\)

hence,

The probability will be:

⇒ \(P(A \cap B)=\frac{10}{35}\)

⇒                 \(=\frac{2}{7}\)

Answer:

the difference

Step-by-step explanation:

The distance between two points can be determined by the difference of the real number values of the two points.

The distance between two points can be determined by the absolute value of the difference of the real number values of the two points

Let any two points be represented as:

Point x and Point y

The distance (d) between them is calculated using:

d = |x - y|

This can also be expressed as

d = |y - x|

See that the distance is calculated by the absolute value of the difference

Hence, the statement that completes the blank is (c)

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The measure of the angle B of the triangle is 78.15 degrees

From the question, we have the following parameters that can be used in our computation:

A = 25 degrees

a = 9.5 units

b = 22 units

Using the law of sines, the angle B is calculated as

sin(A)/a = sin(B)/b

So, we have

sin(25)/9.5= sin(b)/22

This gives

sin(b) = 22 * sin(25)/9.5

Evaluate

sin(b) = 0.9787

Take the arc sin of both sides

b = 78.15

Hence, the measure of the angle is 78.15 degrees

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Answer:

α = 1 - 0,915 = 0.085

β = 0.314

Step-by-step explanation:

Dry cleasning clain that spot remover will remove the 70% of spot. The claim support the spot and chose at random.

Null hypothesis:

H0 : p = 0.7

If 11 of spot are removed then hypothesis rejected.

If 11 spots are not removed then hypothesis accepted

H1 : p >0/7

X is the number of spot and binomial random variable.

For a)

The probability of committing the type 1 error use alpha such as

α = P ( type I error)

where X > 10

and p = 0.7

for the given values where n = 12 and r = 10 and p - 0.7

we get

α = 1 - 0,915 = 0.085

b)

The nonrejection of the hypothesis where type II error is false .

The hypothesis for this is 0.9

This is Type II error

β = P ( type II error) = P ( X <= 10 where p = 0.9 )

Where n = 12 , r = 10 and p = 0.9

then

β = 0.314

The probabilities are

i. P(male) ≈ 0.503

ii. P(hybrid) ≈ 0.324

iii. P(hybrid|male) ≈ 0.208

iv. P(hybrid|female) ≈ 0.441

v. P(female|hybrid) ≈ 0.677

P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.

What is probability?

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event.

a.

i. P(male) = number of males in the sample / total number in the sample = 154 / 306 ≈ 0.503

ii. P(hybrid) = number of hybrid cars purchased / total number in the sample = 99 / 306 ≈ 0.324

iii. P(hybrid|male) = number of males who purchased a hybrid / total number of males in the sample = 32 / 154 ≈ 0.208

iv. P(hybrid|female) = number of females who purchased a hybrid / total number of females in the sample = 67 / 152 ≈ 0.441

v. P(female|hybrid) = number of females who purchased a hybrid / total number of people who purchased a hybrid = 67 / 99 ≈ 0.677

b.

i. P(male) represents the probability of randomly selecting a male from the sample of 306 people who purchased a Honda Civic.

ii. P(hybrid) represents the probability of randomly selecting a car from the sample that has a hybrid engine.

iii. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male.

iv. P(hybrid|female) represents the probability of selecting a hybrid car given that the person selected is female.

v. P(female|hybrid) represents the probability of selecting a female given that the car selected has a hybrid engine.

c. No, P(hybrid|male) and P(male|hybrid) are not equal. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male, while P(male|hybrid) represents the probability of selecting a male given that the car selected has a hybrid engine. These probabilities are different because the sample is not necessarily representative of the entire population.

Hence, the probabilities are

i. P(male) ≈ 0.503

ii. P(hybrid) ≈ 0.324

iii. P(hybrid|male) ≈ 0.208

iv. P(hybrid|female) ≈ 0.441

v. P(female|hybrid) ≈ 0.677

P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.

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