Evaluate the expression 4 with small 4 on top

Answer:

1/64

Step-by-step explanation:

The fraction of his savings that Kim has left is 1/12.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

Since Kim spends 1/8 of his savings on a holiday. Kim then spends 2/3 of his remaining savings on a car. The fraction left will be:

= 1 - Fraction in savings - Fraction on car

= 1 - 1/4 - 2/3

= 3/4 - 2/3

= 9/12 - 8/12

= 1/12

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Answer:

2n - 7 = 3n - 3

Step-by-step explanation:

Just count the n's and the (-1)'s

The probability that in a randomly selected year, the number of lightning strikes is 4, is 0.098.

What is Poisson distribution?

The Poisson distribution refers to a probability distribution expressing the probability of a specific number of events occurring in a fixed interval of time, if these events occur with a known constant mean rate and independent of the occurrence of the last event.

P(E) = Probability of occurrence of E in a fixed interval 'x', with constant mean = \(\frac{e^{-mean}. mean^{x}}{x!}\)

Step-by-step explanation:

Let A be the number of lightning strikes in a year at the top of particular mountain. Here, A follows Poisson distribution with mean = 2.1.

According to the question, x = 4, mean = 2.1

Thus, putting it in the formula for Poisson distribution, we get:

P(A) = \(\frac{e^{-2.1}(2.1)^{4} }{4!}\) = \(\frac{0.122(19.44)}{24}\) = 0.098

=> P(A) = 0.098

Hence, the probability that in a randomly selected year, the number of lightning strikes is 4, is 0.098.

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A drop of water is denser than a ping-pong ball.

Usually, water is made of particles that are firmly pressed together. In differentiation, plastic (the material ping pong balls are made of) may be a lightweight fabric and the particles are not as firmly stuffed together.

The thickness of a ping pong ball is 0.0840 g/cm³, though water’s thickness is 997 kg/m³. Subsequently, ping pong balls aren’t about as thick as water and will continuously coast and surface greatly quickly.

The ping pong ball appears to oppose gravity and coast within the air.

Ping-pong balls drift within the water since they are amazingly lightweight, empty, and filled with air. Too, the water’s surface pressure makes it simple for the ping pong ball to drift.

In expansion, water is denser than ping pong balls, making them look for the most noteworthy point of water.

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The sound which we hear when the pig pong ball is bounced on the floor

is 19.48 DB

The repeating of sounds, especially in rhyme, is the form of repetition that most people connect with poetry. Alliteration, assonance, and onomatopoeia are other sound patterns in poetry that give additional meaning in addition to rhyme. Every one of these audio elements has a certain purpose in a poem.

a) \(\sum \ log(n)\)

by expanding the series for each value of n is

log (1) + log (2) + log(3) + log (4) + ......... + log ( 96)

simplify the expanded form we get

0 + 0.3010 + 0.4771+0.6020 ......................... + 1.982

=> 149.9963

b) \(\sum_{n=0}\) to infinity \(\sqrt{0.9^n}\)

formula for the sum of number in geometric progression

is  a/1-r

to find the ratio of the successive terms

plugging into the formula

r = \(\frac{a_{n+1}}{a_n}\)

r = \(\frac{\sqrt{0.9^{n+1}} }{\sqrt{0.9^n} }\)

=> r = \(\frac{\sqrt{0.9^n \times 0.9} }{\sqrt{0.9^n} .1}\)

=> r = \(\frac{\sqrt{0.9} }{1}\)

=> r = \(\sqrt{0.9}\)

=> a = \(\sqrt{0.9^0}\)

=> a = \(\sqrt{1}\)

=>  a= 1

by applying the formula having the value a =1 is

\(\frac{1}{1-\sqrt{0.9} }\)

rationalize the denominator by multiplying with \(1+\sqrt{0.9}\)

=> \(\frac{1+\sqrt{0.9} }{(1-\sqrt{0.9} ) (1+\sqrt{0.9}) }\)

=> 19.4868

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The most likely correlation coefficient for the set of data (-0.91, -0.35, 0.35, 0.91) is either -0.91 or 0.91.

The correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges between -1 and 1, where -1 indicates a strong negative correlation, 1 indicates a strong positive correlation, and 0 indicates no correlation.

In the given set of data, we have two negative values (-0.91 and -0.35) and two positive values (0.35 and 0.91). The absolute values of all the numbers are the same, indicating a consistent strength of correlation. Since the data values are symmetrically distributed around 0, it suggests a linear relationship without any apparent bias towards positive or negative values.

Therefore, the most likely correlation coefficient for this set of data is either -0.91 or 0.91, as both values represent a strong linear correlation without specifying a particular positive or negative direction.

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The value of 0.55 hectometers expressed in decimeters is 550 decimeters. The result is obtained by using the concept of unit ladder system.

The common length units are kilometers to milimeter. The conversion can be described in a unit ladder system as follows.

km (kilometers)

  hm (hectometers)

     dam (decameters)

        m (meters)

           dm (decimeters)

              cm (centimeters)

                  mm (millimeters)

Every time the length unit goes down, it is multiplied by ten. Every time the length unit goes up, it is divided by ten.

We have 0.55 hectometers. Express that value in decimeters!

From hectometers to decimeters, it goes down 3 times. So,

0.55 hectometers = 0.55 × 10 × 10 × 10 decimeters

0.55 hectometers = 0.55 × 1000 decimeters

0.55 hectometers = 550 decimeters

Hence, 0.55 hectometers is equal to 550 decimeters.

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Answer:

4x^2-x-4

Step-by-step explanation:

f(x) = 4x^2-3 and g(x) = x+1,

(f - g)(x)= 4x^2-3 -( x+1)

Distribute the minus sign

            =4x^2-3 - x-1

Combine like terms

            =4x^2-x-4

Answer:

C

Step-by-step explanation:

4x^2 - 3 - (x+1)

Distribute the -

4x^2 - 3 - x -1

=4x^2-x-4

So c

A statement that compares two expressions that are not equal is called an inequality. An inequality is a mathematical expression that shows that two quantities are not the same, unlike an equation which shows that two quantities are equal. Inequalities use symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to) to compare two expressions.

For example, 4 < 7 is an inequality because 4 is less than 7. Inequalities are commonly used in algebra and real-world scenarios to represent situations where there are limits, ranges or restrictions. Solving inequalities involve finding the values of the unknown variable that make the inequality true. There are several methods to solve inequalities, including adding or subtracting the same value to both sides of the inequality, multiplying or dividing by a positive or negative number, and graphing the inequality on a number line.

Understanding inequalities is crucial for various fields such as economics, engineering, physics, and computer science.

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Answer:

19 girls snd 10 boys

Answer:

already in standard form

answer for factored is 6(7+ x)(7-x)

Answer:

the colored dot goes on the 3 and the arrow goes down to the left. so the first one.

Step-by-step explanation:

Answer:

Janiya has a speed of \(2\frac{2}{5}\) miles per hour.

Step-by-step explanation:

Given that:

Distance covered = 4/5 of a mile

Time taken to cover the distance = 1/3 of an hour

Speed is defined as the distance travelled in a certain time.

Speed of Janiya = \(\frac{Distance}{Time}\)

Speed of Janiya = \(\frac{\frac{4}{5}}{\frac{1}{3}}\)

Speed of Janiya = \(\frac{4*3}{5*1}\)

Speed of Janiya = \(\frac{12}{5}\)

Speed of Janiya = \(2\frac{2}{5}\) miles per hour

Hence,

Janiya has a speed of \(2\frac{2}{5}\) miles per hour.

The concept is the Vertical Lines. The Vertical Lines are a pair of opposing, congruent angles created by intersecting lines. It is option A.

An upward line is a line on the direction plane where every one of the focuses on the line have a similar x-coordinate. Because they are perpendicular to the ground and extend toward the sky, vertical lines frequently convey a sense of height.

At the point when two straight lines cross each other vertical points are shaped. Every vertical angle is equal and congruent.

By super-imposing the two pairs of non-adjacent angles created by intersecting two lines, vertical angles are congruent.

Every vertical angle has the same length. We call angles congruent when their measurements are the same.

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Question:

Which of coming up next is best depicted as a couple of inverse points shaped by crossing lines?

A. Vertical angles

B. Supplementary angles

C. Complementary angles

D. Linear pair

To determine whether taking the derivative of a function would be explicit or implicit, as well as whether the product, quotient, or chain rule would be needed.

Taking the derivative of a function is explicit when the function is given explicitly in terms of the independent variable(s). In this case, we can easily differentiate the function by applying the standard differentiation rules without any additional steps.

On the other hand, taking the derivative of a function is implicit when the function is given implicitly, meaning it is defined implicitly in terms of the independent and dependent variables.  The product rule is used when differentiating a product of two functions, the quotient rule is used when differentiating a quotient of two functions, and the chain rule is used when differentiating a composite function.

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From the normal distribution it is calculated that 9.18% of people has an iq over 120.

Normal distributions are crucial to statistics because they are widely used in the natural and social sciences to represent real-valued regressors with unknown distributions.

We have to find P( X > 120 )

Thus find z score for  x =120

\(z=\frac{x-\mu}{\sigma}=\frac{120-100}{15}=\frac{20}{15}=1.33\)

Thus we get:

P(X>120) = P(Z>1.33)

P(X>120) = 1 - P(Z<1.33)

P( Z < 2.67) = 0.9082

Thus

P(X>140) = 1 - P(Z<2.67)

P(X>140) = 1 - 0.9082

P(X>140) = 0.0918

Percentage = 9.18%

Therefore 9.18% of people has an iq over 120.

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There are two terms in the given expression 5xy²+ 35xy².

What is meant by term?

Terms comprise expressions. A term may be a constant, a variable, or a combination of variables and constants.

What is an example of a term?

It could be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase. Single-word examples: A single phrase is 3x.

There are two terms in the equation 5xyA ^2 + 35xyA^2 that is separated by an arithmetic operator +.

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If the number of bacteria doubles every 234 hours, we can use the exponential growth formula to find the population at a future time t:

N(t) = N0 * 2^(t/T)

where N(t) is the population at time t, N0 is the initial population, T is the doubling time (234 hours in this case), and t is the time elapsed.

We are given that the initial population is 15,500 bacteria. We want to find the population 936 hours from now. Therefore, we can substitute the values into the formula:

N(936) = 15,500 * 2^(936/234)

N(936) = 15,500 * 2^4

N(936) = 15,500 * 16

N(936) = 248,000

Therefore, the population of bacteria in the colony will be 248,000 after 936 hours.

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18 root

2

Step-by-step explanation:

In this question imagine there is no y

It will be 10 root2 +5 root2 +3 root 2 it will be 18 root 2

a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b. The probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c. Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:

The experiment consists of a fixed number of trials (eight shots).

Each trial (shot) has two possible outcomes: hitting the target or missing the target.

The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where:

P(X = k) is the probability of getting exactly k successes,

C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,

p is the probability of success in a single trial, and

n is the total number of trials.

In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.

P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)

The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:

P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)

Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.

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Answer:

red is 3 and blue is 6 so 3:6

Step-by-step explanation:

Answer:

No because it does no pass the vertical line test

Step-by-step explanation:

200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.

Forecasted values are as follows: 1,500 and 1,400

Values in actuality: 1,200 and 1,500

Absolute differences:

|1,500 - 1,200| = 300

|1,400 - 1,500| = 100

Now, we calculate the MAD:

MAD = (300 + 100) / 2 = 400 / 2 = 200

Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

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Answer:

exponents first then multiply and subtract after

Step-by-step explanation:

the answer is 5

If we have functions F: S → T and G: T → S such that G o F = idS and F o G = idT, then G = F^(-1).

To prove that G = F^(-1), we need to show that G and F^(-1) have the same mapping from T to S.

Since G o F = idS, it means that for every element s in S, G(F(s)) = s. This implies that the composition of G and F maps each element from S back to itself under the identity function.

Similarly, since F o G = idT, it means that for every element t in T, F(G(t)) = t. This implies that the composition of F and G maps each element from T back to itself under the identity function.

Now, let's consider an element t in T. Since G o F = idS, we have G(F(t)) = t. If we apply F^(-1) to both sides of this equation, we get F^(-1)(G(F(t))) = F^(-1)(t). Since F^(-1) is the inverse function of F, we can simplify this to F^(-1)(t) = F^(-1)(t).

Therefore, we have shown that G(F(t)) = F^(-1)(t) for every element t in T. This means that G and F^(-1) have the same mapping from T to S.

Hence, we conclude that G = F^(-1) when both G o F = idS and F o G = idT.

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Answer:

No

Step-by-step explanation:

It's not proportional because the unit rate for each hour isn't the same.

the solution w = -36 is correct

The given equation is w/4 + 16 = 7.The main objective here is to solve for the variable w. Let us see the step-by-step process to solve for w:

Step 1: Simplify the left side of the equation by subtracting 16 from both sides. w/4 + 16 = 7 ⇒ w/4 = -9The justification for subtracting 16 from both sides is the additive inverse property of equality, which states that if a = b, then a - c = b - c for any real number c.

Step 2: Multiply both sides of the equation by 4 to isolate w. w/4 = -9 ⇒ (4)(w/4) = (4)(-9) ⇒ w = -36The justification for multiplying both sides of the equation by 4 is the multiplication property of equality, which states that if a = b, then ac = bc for any real number c.

Step 3: Check the solution. Substitute -36 for w in the original equation to make sure it satisfies the equation. w/4 + 16 = 7 ⇒ (-36)/4 + 16 = 7 ⇒ -9 + 16 = 7 ⇒ 7 = 7Since 7 = 7 is a true statement, . The justification for this step is that it ensures that the solution obtained in the previous step is valid.

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Answer: 90 miles

Step-by-step explanation:

67+23=90

=

Answer:

53 i got it right

Step-by-step explanation:

brainlist PLZ

Answer:

The answer is 53 inches

Step-by-step explanation: