Help solve the proportion

The probability that the length of a component lies between 19 and 21 centimeters is 0.0376.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Given:

Population mean, µ = 14

Population standard deviation, σ = 3

Probability that the length of a component lies between 19 and 21 centimeters

= P(19 <  X  < 21)

= P( (19 - 14) / 3 < (X - µ) / σ < (21 - 14) / 3)

= P(1.67 < z < 2.33)

= P(z < 2.33) - P(z < 1.67)

Using excel function:

= NORM.S.DIST(2.33,1) - NORM.S.DIST(1.67,1)

= 0.9901 - 0.9525

= 0.0376

Hence, the probability that the length of a component lies between 19 and 21 centimeters is 0.0376.

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The following ratio is the simplest form of 32 min: 36 min is 8: 9. The correct option is a.

If two quantities of a ratio (i.e., antecedent and consequent) have no common factor (i.e., antecedent and consequent are co-prime), the ratio is said to be in its simplest form or in the lowest term.

The simplest form of the fraction is also known as the reduced form of a fraction. For instance, 34 is the simplest form of a fraction with a common component of one.

32/36 = 8:9. It is divided by 2.

Therefore, the correct option is a. 8:9.

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Answer:

The answer is D

Step-by-step explanation:

I hope it helps!

Answer:

3

Step-by-step explanation:

if you look at the graph, you can see that the line intercepts where the points are

Answer:

Step-by-step explanation:

Exercise needs to be consistent and done at regular times. The body can adjust more effectively and swiftly when there is consistency. Exercise should ideally be performed 3-5 times per week.

Exercise is any physical activity done to increase one's physical or mental fitness.

Exercise and physical activity not only aid to enhance physical health but also help to promote mental health.

A healthy mind follows from a healthy body.

By lowering body weight, frequent physical activity lowers the risk of developing serious conditions like heart attack, cardiovascular disease, diabetes, and high blood pressure. Regular exercise revitalizes the body and the mind.

Additionally, it raises energy levels, mood, and sleep quality.

Hence, Exercise must be performed consistently and at regular intervals. When there is consistency, the body can adjust more quickly and efficiently. The ideal number of times to exercise per week is three to five.

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Check the picture below.

By using the concept of growth, it can be calculated that

Number of turkeys after 10 years  = 57

It took 10 years for the number of turkeys to double

What is growth?

Growth is the increase in the value of an asset or cost or population at a certain rate over a certain period of time.

Original number of turkeys = 45

Rate of growth = 2.3 %

Time  = 10 years

Number of turkeys after 10 years = [tex]45 \times (1 + \frac{2.3}{100})^{10}[/tex]

                                                       = 57

Now,

New number of turkeys = 45 [tex]\times[/tex]2 = 90

[tex]90 = 45 \times (1 + \frac{2.3}{100})^n[/tex]

[tex](1 + \frac{2.3}{100})^n = \frac{90}{45}\\\\1.023^n = 2\\n\ ln (1.023) = ln( 2)\\n \times 0.023 = 0.693\\n = \frac{0.693}{0.023}\\n = 30.1 \ years[/tex]

It took 10 years for the number of turkeys to double

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1. The amount that the employee make in 5 months will be $7500.

2. The number of months that the gym employee have made $19,500 is 13 months.

3. The equation to represent the constant of proportionality is C = 1500m

The constant of proportionality simply shows the ratio of two proportional values that possess a constant value.

Since after working for 3 months, he had earned $4,500. The amount per month will be:

= $4500 / 3

= $1500

The amount in 5 months will be:

= $1500 × 5

= $7500

The number of months that the gym employee have made $19,500 will be:

= $19500 / $1500

= 13 months.

The equation to represent the constant of proportionality is c = 1500m. In this case, c = total amount earned and m = number of months.

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Answer:

33 I guess I don't really know

Answer: ok expensive

Step-by-step explanation:

Answer: 6.708

Step-by-step explanation:

a(-1,6)

 b(5,3)

 ab =( (-1-5)^2+(6-3)^2)^(1/2)

ab=(36+9)^(1/2)

ab=6.708

A substantial interaction between age and educational status was discovered by a researcher who was creating a regression equation to predict income (y) in thousands of dollars from age (x1) and educational status (x2) (x3)

A dummy variable, educational status has the values 0 for no college degree and 1 for a college degree.

The regression formula is y = 0 + 1x1 + 2x2 + 3x1x2 where 0 is the intercept, 1 is the age regression coefficient, 2 is the educational status regression coefficient, and 3 is the regression coefficient for the interaction between age and educational status.

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Answer:

f (5) = 4

Step-by-step explanation:

First we need to find f(x)

To do this we can find the gradient of the line then plug it into the formula for an equation of a line.

using the points on the line, (3,0) (0,-6)

gradient, m :

[tex] \frac{y1 - y2}{x1 - x2} [/tex]

[tex] \frac{0 - ( - 6)}{3 - 0} = \frac{6}{3} = 2[/tex]

therefore the gradient was found to be 2.

Equation of a line:

y - y1 = m( x - x1)

y - 0 = 2( x - 3)

y = 2x - 6

Therefore the function of the line was found to be:

f(x) = 2x -6

so to find f(5) we substitute 5 in the place of x:

f(5) = 2(5) - 6

f(5) = 10 - 6

f(5) = 4

Answer:

A. He did not use a random sample, and he tried to show cause and effect with an observational study

Hope this helps! : D

Step-by-step explanation:

8.

(08.05 MC)

Augusto wants to prove to his parents that watching TV while he does his homework will help him get better grades. He decides to ask 20 of his friends if they watch TV while they do their homework and what their grades are. He finds that his friends who have high grades also watch TV while they do their homework. He tells his parents that he has proven that watching TV while doing homework will cause his grades to improve. What mistake has Augusto made? (6 points)

Answer: √6 -8√5

or 15.43905

Step-by-step explanation:

Answer:

Step-by-step explanation:

14x=189 (x represents the number of days)

189 divided by 14 = 13.5

Answer or X: Approximately = 14 days

The steps are given in option B and option C are used in paper folding.

When we simply fold the paper in such a manner that we can achieve our objectives, the method is called Paper Folding.

Now, WE get;

Option A can not be accomplished as we need the proper equipment to construct the circle.

Option B can be done by folding the paper along the point.

Option C can be done by folding the paper in the exact half measure.

Option D can not be done.

Hence, the steps are given in option B and option C are used in paper folding.

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Answer:

1. Polygons are flat figures formed by a closed polygonal line and its interior. Any plane figure that is made up of “straight sides” is a polygon.

2.A 100-sided polygon is called a hectogon, centagon or 100-gon. In general, any n-sided polygon with over 12 sides is called an n-gon. While there are other conventions for naming polygons with any number of sides, it is most common to use the n-gon form.

Step-by-step explanation:

The number of people who preferred alaber juice is 9 people

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

In this case, the survey of all beings on planet Boondin found that 75% preferred alaber juice to all other juices. If 12 beings were surveyed altogether

Those who preferred alaber juice will be:

= 75% × 12

= 0.75 × 12

= 9

The number of people is 9.

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50 million people instead of 25 million people make up the population. The degree of assurance is reduced from 95% to 90%.

What is confidence interval?

A confidence interval in frequentist statistics is a range of estimates for an unknown parameter. A confidence interval is calculated at a specified degree of confidence; the most popular level is 95%, but other levels, such 90% or 99%, are occasionally used.

Because the standard error is reduced as sample size increases, confidence intervals are narrower.

Therefore, we may state that when the population standard deviation rises, the width of the confidence interval will also rise.

Hence, 50 million people instead of 25 million people make up the population. The degree of assurance is reduced from 95% to 90%.

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Answer:8,800

Step-by-step explanation:

1760 times 5 = 8,800

The equivalent equation to the given logarithm is log₃9=2.

A log function can be used to determine how much a given number must always be raised to reach the desired result.

aˣ = b

This can be written as;

logₐ b = c

For the expression;

3² = 9

Given what we know about just the logarithm, the following is how we can represent the given equation:

3² = 9

log₃9 = 2

Consequently, the equivalent equation of 3² = 9 could be expressed as log₃9=2.

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The correct question is-

Which logarithmic equation is equivalent to 3^2 = 9?

We have proved the statement that S≅W by 3 properties reflexive property, symmetric property, and transitive property.

Given that,

Let R be the relation defined on A as follows, and let A be the set of all statement forms in the three variables p, q, and r. S R T⇔ S and T have the same truth table for all S and T in A. substantiate the equivalence of R.

We have to demonstrate that it satisfies each of the properties you choose.

We know that,

By reflexive property,

S ≅ S  means that S has the same truth table as S.

T≅ T denotes that T and T have the same truth table.

By symmetric property,

S ≅T denotes that S and T share the same truth table.

At that time, T and S share the same truth table.

So, T ≅ S

By transitive property,

S≅T and T≅V and V≅W

S shares a truth table with S. Truth table between T and T W's truth table is the same for V and V.

S, T, V, and W all have the same truth table as a result.

S specifically has the same truth table as W.

Then S≅T≅V≅W ---> S≅W

Therefore, We have proved the statement that S≅W by 3 properties reflexive property, symmetric property, and transitive property.

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Integer polynomials p and q fulfill that for an unlimited number of inputs of integers x, p (x)/q (x) is an integer. q (x) does not necessarily divide p. (x)

Sums of terms of the form k^xn, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials.This section covers the ideas of degree, standard form, monomial, binomial, and trinomial.

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Answer:

3/4x + 3

Step-by-step explanation:

they both need to have the same gradient but different y intercepts and in this case the y intercept is 3

The equation of line passing through the point P ( 0 , 3 ) is given by

y = ( -4/3 )x + 3

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 0 , 3 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

The slope of the line we want to find will be the negative reciprocal of this slope, which is -4/3

Slope m = -4/3

Now , the equation of line is y - y₁ = m ( x - x₁ )

y - 3 = ( -4/3 ) ( x - 0 )

Adding 3 on both sides , we get

y = ( -4/3 )x + 3

Hence , the equation of line is y = ( -4/3 )x + 3

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a)The 7-year growth factor for the amount on the loan is $4285.71.

b)  7-year percentage change for the amount is 6.25%.

c) 1-year growth factor for the amount $612.244.

d) 1-year percent change for the amount is 0.894%.

a)We know very well that growth factor is ratio of difference of principal amount and loan amount to the time taken, or

Growth factor=(Final loan amount-Initial loan amount)/Total time

=>Growth factor=(78,000-48,000)/7

=>Growth factor=30,000/7=$4285.71

b)To find the percentage change in amount, we need to use initial loan amount and the difference between two amounts, or

  percentage change=((78000-48000)/48000)×100

=>percentage change=[(30000)/48000)]×100

=>percentage change=300/48=6.25%

c)Now, we have already find the growth factor for 7 years, we need to find growth rate in 1 year. So, we use unitary method to find it

=>In 7 years growth factor is=$4285.71

   ∴In 1 years growth factor is=$4285.71/7=$612.244

d)In 7 years percentage change for the given amount is =6.25%

∴In 1 year percentage change for the given amount=6.25/7=0.894%

Hence, answers are a)$4285.71 b)6.25% c)$612.244 d)0.894%

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Answer:

m= -3

Step-by-step explanation:

-2m+11m+m+11= -19

9m+m+11=-19

10m+11=-19

      -11.  -11

10m=-30

/10.  /10

m= -3

Hopes this helps please mark brainliest

Answer:

hop this helps

Step-by-step explanation:

you should use the step by step calculator Symbolab

Probabilities of Q are 1,4, 16, 64 are 312 2 8181818 , E(Q)=20.88 and 12.5% information revealed. Wheel is spin twice 0.2815.

When we are not sure about the outcome we can make possible probabilities about the situation. Therefore, it is the maximum and possible chances of something to be happen.

Step 1

Angle of one complete spin = 360°

Q=16=90° Q=6490"

Q=4-450

Q=1=135°

Here

P(Q16) = P(Q= 64)

=90/36

=1/4

Step 2

Expected value E(Q) = xP(x) E(Q) = 1x+4x+16x+64 x2/8

Step 3

c)

We learn Q=4

P(Q=4)=1/8=0.125

12.5 %  information is revealed.

Please refer to solution in this step.

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