5а – 2 = 8
6
a = [?]

When a pair of dice is rolled, there is a 1/6 chance that the result will be less than 5.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution. The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event might occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

Here,

Total possibility=36

To calculate the probability correctly, the list should be,

(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)

Total cases=6

probability of getting a sum less than 5,

=6/36

=1/6

The probability of getting a sum less than 5 when a pair of dice is rolled will be 1/6.

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Answer:

Step-by-step explanation:

2/6

The population size after four days is 121.

Given that,

a population of protozoa with a constant relative growth rate of 0.8603 per member per day

let P be the population size and let t be the time interval then the given system modeled by the differential equation

[tex]\frac{dP}{dt}[/tex] = 0.8603

by solving the separable equation and expifying both sides we get,

P = A [tex]e^{0.8603t}[/tex]

From the condition that on day zero the population consist of four members,

i.e. P(0) = 4, A = 4

Therefore population size after four days is

P(4) = 4[tex]e^{4(0.8603)}[/tex]

      = 4 [tex]e^{3.441}[/tex]  

      = 4 × 30.295

P(4) =  121.2

nearest whole number is 121

i.e P(4) = 121

Hence the population size after four days is 121.

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The correct option is independent of, dependent on for the given sets of hypothesis H0: Pass/fail rates are _____ school. H1: Pass/fail rates are _____school.

A hypothesis is a statement that makes sense in light of the available information but hasn't been proved true or wrong. A hypothesis in statistics is a claim that will serve as the foundation for hypothesis testing (also known as a statistical hypothesis). A straightforward hypothesis is a claim that expresses the relationship between precisely two variables. a dependant and a single independent. Take the statement "Smoking is a significant cause of lung cancer" as an example. Smoking is an independent variable that influences the dependent variable, lung cancer.

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The definition of the gradient vector for point a to b is defined below.

Vector:

In math vector value consists of magnitude and direction.

Given,

Here we need to find the gradient vector of point a or point b.

According to the definition of vector, a multidimensional input have partial derivatives, you might wonder what the full derivative of such a function is. Here in the case of scalar-valued multivariable functions, meaning those with a multidimensional input but a one-dimensional output, the answer is the gradient.

Where as the gradient of a function f, denoted as ∇f,

Where f, is the collection of all its partial derivatives into a vector.

Here the point a and b is more horizontal because of the partial derivative nature of vector.

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If the pressure is increased to 19 pounds per square inch, then the volume is 368.42 cubic inches

The volume of the gas = 500 cubic inches

The pressure = 14 pounds per square inch

The volume of a gas in a container varies inversely proportional with the pressure on the gas.

V ∝ 1/P

Where V is the volume and P is the pressure

Then,

V = k/P

Where k is the constant

500  = k/14

k = 500 × 14

k = 7000

The pressure of the gas = 19 pounds per square inch

Volume = 7000 /19

= 368.42 cubic inches

Therefore, the volume is 368.42 cubic inches

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Making predictions about your data requires the usage of a hypothesis. They aid data analysts in determining what they want to verify or dispute.

Given,

A senior data analyst requests that a junior data analyst offer two hypotheses for a project involving data analytics.

The rationale for a hypothesis must be explained;

This is,

Hypothesis testing is a sort of statistical reasoning that uses information from a sample to draw conclusions about a population parameter or population probability distribution. The parameter or distribution is initially best guessed.

Here,

A hypothesis seeks to infer something from your data. Data analysts use them to show or refute what they want to prove.

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The correct relation is that both the angles are corresponding angles.

Corresponding angles are angles that occur on the same side of the transversal line and are equal in size.

Given is an arrangement of streets in the form of two parallel lines and a street acting as a transversal.

The angle of library and angle of school are corresponding angles, and corresponding angles between parallel lines are congruent.

Since,  angle of library = 42°

angle of school =  angle of library

Therefore, angle of school = 42°

Hence, The correct relation is that both the angles are corresponding angles.

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The slope of the line is going to be m = 163.

Here, we have been told that the sum of the numbers is going to be -

= ∑[tex]w _{k}[/tex]= 3 + 504i (i)

The other set of complex numbers is (z₁, z₂, ....[tex]z_{k}[/tex]) and their sum is going to be = ∑[tex]z_{k}[/tex]= 3 + 504i (ii)

If we write the number 3+504i in the standard form for complex numbers i.e., a+bi with respect to the summations, we get -

=  ∑[tex]a_{k}[/tex]= 3 (III)

= ∑[tex]b_{k}[/tex]= 504 (Iv)

The standard equation is of the form, y = mx+3. Substituting the polar coordinates, we get -

= [tex]b_{k}[/tex] = m[tex]a_{k}[/tex] + 3

Now, if we use all of the given values in equations (iii) and (iv) for k, we get -

= 504 = 3m + 15

Now, on simply solving for m, we get -

= 3m = 504 - 15 = 489

= m = 489/3

= m = 163

Henceforth, we find out that the slope of the line, m is 163.

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Answer:

The value of x is 122°.

The value of y is 130°.

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

The figure has two parts.

One part is a triangle.

Another part is a heptagon.

We see that,

The three angles sum 180 degrees.

Two angles are equal inside the triangle.

2m + 80 = 180

2m = 180 - 80

2m = 100

m = 50

Now,

y + 50 = 180

y = 180 - 50

y = 130

Now,

The sum of the heptagon angles is 900.

Three angles are the same.

i.e 3x

Two angles are the same.

i.e 130 + 130 = 260

260 + 3x + 135 + 140 = 900

3x + 535 = 900

3x = 900 - 535

3x = 365

x = 365/3

x = 122

Thus,

The value of x is 122°.

The value of y is 130°.

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Answer: 213

Step-by-step explanation:

Answer: 213

Step-by-step explanation:

Answer:

(6,-2)

Step-by-step explanation:

The point is now 6 units to the right of the y axis.  That would be 6, but the y value would be the same 2 units below the x axis.

Answer: 21.78

Step-by-step explanation:

25.65 - 3.87 = 21.78

Applying the definition of an isosceles triangle, the measure of angle P = 10.5°.

If a triangle has two sides that are of the same length, then the triangle is an isosceles triangle. Thus, the angles that are opposite the two equal sides of an isosceles triangle are called the base angles, and they are therefore congruent to each other.

Given that triangle PQR has two equal sides, QR ≅ PQ, it means it is an isosceles triangle, therefore its base angles, ∠P ≅ ∠R.

Therefore:

m∠Q = 159° [given]

m∠P = 1/2(180 - 159)

m∠P = 1/2(21)

m∠P = 10.5°

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A random selection of an Endure All battery has a 10.56% probability of lasting more than 550 hours.

The Z score is utilized to calculate how far the raw score deviates from the mean.

The Z score is calculated as follows:

z = (x - μ)/σ

Given that x > 550 and μ = 500, σ = 40:

z = 550 - 500 / 40

z = 1.25

Following the normal distribution chart,

P(z > 1.25) = 1 - P(z < 1.25)

P(z > 1.25) = 1 - 0.8944

P(z > 1.25) = 0.1056

Therefore, there is a 10.56% chance that a randomly chosen Endure All battery would survive longer than 550 hours.

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The area of the triangle is 31.54 square units

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

We have the following values

a = 7 units

c = 11 units

B = 55 degrees

The area of the triangle is calculated using the following area formula

Area = 1/2absin(C)

Substitute the known values in the above equation, so, we have the following representation

Area = 1/2 * 7 * 11 * sin(55 degrees)

Evaluate

Area = 31.54

Hence, the area is 31.54 square units

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The answer should be 18cm

Here is why I think that:

On the ruler, you should count from 9 to 26

9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26.

1,  2,   3,  4,   5,  6,   7,   8,   9, 10, 11, 12,  13,  14, 15, 16,  17,   18.

The total tick marks from 9 to 26 is = to 18

(I know that R is resting above the number eight, do not count that one, many people make that mistake)

Please let me know in the comments if

somehow my calculation is wrong.

Pareto distribution is a member of a scale family referring fixed values of the shape parameter, it is trivially closed under scale transformations.

The Pareto distribution is a power-law probability distribution used in description of social, quality control, scientific, geophysical, actuarial, and many other types of observable phenomena. It was initially applied to demonstrate the distribution of wealth in a society, fitting the trend that a large portion of wealth is held by a small fraction of the population. The pareto principle or 80-20 rule states that 80% of outcomes are due to 20% of causes. Pareto distribution is a member of the scale family distribution which is parameterized by a scale parameter. The larger the scale parameter, the more spread out the distribution.

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Answer: 8

Step-by-step explanation:

We only need to take  672/84 = 8

So there are 8

If you can please give me a Brainliest, I only need 1 more to become an Ace, thank you!

Answer:

x=8

Step-by-step explanation:

Lets assume that the number of 84 is x

as given in this equation

total values given in the question be 672

then the equatiuon becomes

84 multiplied by x is 672

simplify above the equation

84x=672

[tex]x=\frac{62}{84}[/tex]

x=8

Therefore, the number of 84 is 672 is 8.

(Hope this helped! :D)

(C) A parabola is the best representation of the situation that a second-degree polynomial regression equation would be used to mimic.

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics.

It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.

A parabola can be described using a point and a line.

The situation that a second-degree polynomial regression equation would be used to simulate is best described by a parabola.

The phrase "parabolic move" originated as trader jargon.

It describes when a stock experiences an increase in price that resembles the right side of a parabolic curve: A parabolic move happens when the stock's price rises at an exponentially faster rate.

Therefore,(C) a parabola is the best representation of the situation that a second-degree polynomial regression equation would be used to mimic.

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Answer:

x = -2, y = -3

Step-by-step explanation:

Solve for y:

If -3x + 9y = -21, and -3x +8y = -18, then -21 - y = -18

Add 18 to both sides:

-3 - y = 0, so y = -3

reconstruct new equation:

-3x + 9(-3) = -21, -3x + 8(-3) = -18

-3x + -27 = -21, -3x + -24 = -18

Using the new equation, solve for x:

add 24 to both sides of each equation :

-3x + -3 = 3, -3x = 6

x=-2

A sample of 68  is needed if we wish to be 96% confident that our sample mean will be within 10 hours of the true mean for the standard deviation of 40 hours

Since a level =1-0.96/2 =0.02, here the  Z value of 1-a = 1-0.02= 0.98 , for which z=2.055 .Now we know that the formula for margin is:

M = z*σ/√n, where σ is the standard deviation and n is the sample size since we are provided with the standard deviation of  40  and M=10. so,

=> 10= 2.055*40/√n

=>10√n= 2.055*40

=>√n =  82.2/10

=>n=67.6 ,which is almost  68

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Answer: 67 87 34

Step-by-step explanation:

The square root of open paren x negative 3 close paren squared =

3 negative x​  negative x times the absolute value of x is greater than 0.

Let the equation be: |x−3|=3−x|x−3|=3−x

When x>3x>3, then RHS is negative, but LHS (absolute value) is never negative, hence in this case equations doesn't hold true.

When x≤3x≤3, then LHS=|x−3|=−x+3=3−x=RHSLHS=|x−3|=−x+3=3−x=RHS

x≠3x≠3

Thus,

−x|x|>0−x|x|>0, this inequality implies that x<0x<0, hence x<3x<3.

Hence option b becomes the correct option i.e, negative x times the absolute value of x is greater than 0.

Square root of a number is a value, which on multiplication by itself, gives the original number. The square root is an inverse method of squaring a number. Hence, squares and square roots are related concepts.

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Answer: 13.33

Step-by-step explanation: I could be wrong

Using the binomial distribution, it is found that there is a 0.5954 = 59.54% probability that at least 1 is defective.

What is the binomial distribution?

A collection of numerous independently distributed Bernoulli trials with equal distributions results in the binomial distribution. The experiment in a Bernoulli trial is said to be random and can only result in one of two outcomes: success or failure.

For each phone, there are only two possible outcomes, either it is defective, or it is not. The probability of a phone being defective is independent of any other phone, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_n, x. p^{x.(1-p)^n-x}[/tex]

[tex]C_n, x = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of success on a single trial.

In this problem:

0.11 probability of a single phone is defective, hence

6 phones are selected at random, hence

The probability that at least 1 is defective is:

P(X >= 1) = 1 - P(X = 0)

In which

[tex]P(X = x) = C_n, x. p^{x.(1-p)^n-x}[/tex].

P(x = 0) = C₆,₀.(0.11)⁰ (0.86)⁶ = 0.4046

Then:

P(X >= 1) = 1 - P(X = 0) = 1 - 0.4046 = 0.5954

Hence, the 0.5954 = 59.54% probability that at least 1 is defective.

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The slope of linear graph is 4 which means the rate of prinitng program copies is 4 copies per minute.

What is formula for slope?

The slope of the line between two points (x₁, y₁) and (x₂, y₂) is

m = (y₂ - y₁)/(x₂ - x₁)

Slope of a line signifies rate of change between two quantities.

According to the given question:

(Check the graph attached below)

From the graph the two points we can consider for finding the graph are (0,0) and (3, 120)

Putting these values in the formula for slope

m = (y₂ - y₁)/(x₂ - x₁)

   = (120 -0)/(30 - 0)

   = 4

Hence slope of the line in the situation tells that the rate of printing program is 4 copies per minute.

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