Find the area under the standard normal distribution represented by each probability. (Round your answers to 4 decimal places.) (a) P(Z<0.86) : (b) P(Z>−0.63) : (c) P(0.22

Using the percentile concept, it is found that the maximum age of the youngest 25% of the passengers is of 30.

When a measure is in the xth percentile of a data-set, it is greater than x% of the measures and lesser than (100 - x)%.

Researching the problem on the internet, it is found that the distribution of the ages is described by a box and whisker plot, which states that:

Hence, the maximum age of the youngest 25% of the passengers is of 30.

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Answer:

x=4

Step-by-step explanation:

Based on the given conditions, formulate: 28(6-x)+30x = 176

Apply the Distributive Property: 168 - 28x+30x = 176

Combine like terms: 168+2x=176

Rearrange variables to the left side of the equation: 2x=176-168

Calculate the sum or difference: 2x=8

Divide both sides of the equation by the coefficient of variable:x=8/2

Cross out the common factor: x=4

Answer:

Step-by-step explanation:

120=10*12

120=5*2*4*3

120=5*2*2*2*3

120=(2^3)*3*5

Answer:

C. Both

Step-by-step explanation:

You would substitute the coordinates into the equation to find the answer.

(4,-1)

-1 + 1 = 3 (4-4)

0 = 0

(5,2)

2 + 1 = 3(5-4)

3 = 3

Answer:

x = 46

Step-by-step explanation:

These 2 angles would add up to 180 degrees.

So 41 + (3x+1) = 180

Let's solve for x.

41 + 3x + 1 = 180

Combine like terms.

42 + 3x = 180

subtract 42 from both sides

3x = 180-42

3x = 138

divide both sides by 3

x = 46

I did not get Your Question Probably But the way I see it the answer is:

The equation of a circle with center (h, k) and radius r can be written as:

(x - h)^2 + (y - k)^2 = r^2

In this case, the center of the circle is (0, -6). To find the radius, we can use the distance formula between the center and the given point (-√28, 3):

r = √((x₂ - x₁)^2 + (y₂ - y₁)^2)

Plugging in the values:

r = √((-√28 - 0)^2 + (3 - (-6))^2)

Simplifying:

r = √(28 + 81)

r = √109

Therefore, the equation of the circle with center (0, -6) and containing the point (-√28, 3) is:

(x - 0)^2 + (y + 6)^2 = (√109)^2

Simplifying further:

x^2 + (y + 6)^2 = 109

Answer:

The equation of the circle with center (0, -6) containing the point (-√28, 3) is x^2 + (y + 6)^2 = 109.

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is given by the formula:

(x - h)^2 + (y - k)^2 = r^2

In this case, the center of the circle is (0, -6), which means that h = 0 and k = -6. We also know that the circle contains the point (-√28, 3), which means that this point is on the circle and satisfies the equation above.

To find the radius r, we can use the distance formula between the center of the circle and the given point:

r = sqrt((0 - (-√28))^2 + (-6 - 3)^2) = sqrt(28 + 81) = sqrt(109)

Substituting h, k, and r into the equation of the circle, we get:

x^2 + (y + 6)^2 = 109

Therefore, the equation of the circle is x^2 + (y + 6)^2 = 109.

Answer:  \(\frac{28}{27}\) or \(1\frac{1}{27}\)

Step-by-step explanation:

\(\frac{7}{9} /\frac{6}{8} = \frac{7}{9}(\frac{8}{6})\)

\(\frac{7}{9} (\frac{8}{6} ) = \frac{28}{27}\)

\(\frac{28}{27} = 1 \frac{1}{27}\)

Answer:

what does -4,-3,-2,-1 implies?

Answer:

x< -3

Step-by-step explanation:

inequality form : x<-3

Interval notation : (-∞ , -3)

Answer:

6 because 54÷9 is 6

there is 6 balloons in each pack.

The number of balloons in each pack will be 6. The correct option is A.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Ben has 9 packs of balloons. He has 54 balloons in all. The number of the ballons will be calculated as,

Number = Total balloons / Packs of ballons

Number = 54 / 9

Number = 6

Hence, the number of balloons in each pack will be 6. The correct option is A.

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The annual premium of Susie's insurance company apply as a result of accident is $255 for an year. This is because the monthly insurance payment has been increased by $21.25.

What is Health insurance?

Health insurance or the medical insurance is an insurance which covers the whole or a part of the risk of a person which is incurring the medical expenses. Depending upon the health insurance plan, the risk is shared among many individuals.

Main body:

The increase in monthly insurance payment = $21.25

So, the annual increase in the premium amount paid by Susie will be:

Monthly increase in insurance payment × 12

(As there are 12 months in an year)

Annual increase in premium amount = $21.25 × 12

Annual increase in premium amount = $255

Therefore, the annual increase in the amount of premium paid by Susie for health insurance is $225.

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Answer:

15 square feet

Step-by-step explanation:

Answer:

3 f(x)

Step-by-step explanation:

f(x) + f(x) + f(x)

We have 3 of the functions

3 f(x)

As there is a greater linear relationship between the variables in the data set with an  R² value of 0.95, it is more linear. The solution given in option a, "The one with  R² = 0.95 is more linear," is correct.

In a linear regression model, the coefficient of determination, or  R², quantifies the percentage of the dependent variable's variation that is explained by the independent variable(s).

Strong linear relationships between the variables are indicated by an R² value that is close to 1, whereas weak linear relationships are indicated by a value that is close to 0.

Therefore, Because there is a stronger linear relationship between the variables in the data set with an R² value of 0.95 than in the data set with an R² value of 0.81, it is more linear.

The more closely the data points are grouped around a single line, the stronger the linear relationship, and the closer the R² number is to 1.

Therefore, We can deduce that the proper response is an option a, "The one with R²= 0.95 is more linear." Write your response in two lines.

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Answer:

2%

Step-by-step explanation:

The measure of angle ∠4 is 66°

Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.

Corresponding angles

When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position

Alternate Interior Angles

Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.

Alternate Exterior Angles

The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.

Consecutive Interior Angles

When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.

Given data ,

Let the parallel lines be represented as a and b

Now , the parallel lines are cut by a transversal

The measure of ∠7 = 114°

So ,

The measure of angle ∠7 + measure of angle ∠8 = 180° ( angles in a straight line )

So , the measure of ∠8 = 180° - 114°

The measure of ∠8 = 66°

And , measure of ∠8 = measure of ∠4 ( corresponding angles )

So , the measure of ∠4 = 66°

Hence , the measure of angle 4 is 66°

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Answer:

x = 0

Step-by-step explanation:

add 23 on both side and x equals zero

substitute x for 0, and the equation is still correct

The answers are 4 and 8.

Because:

x^2 - 12x + 32 =

(x - 4)(x - 8)

x - 4 = 0

   +4    +4

x = 4

x - 8 = 0

  +8    +8

x = 8

Answer:

It's the first one.

hope it helps :)

Step-by-step explanation:

Answer:

n-4>58

Step-by-step explanation:

Answer:

n-4>58

Step-by-step explanation:

Answer:

x= -2

Step-by-step explanation:

7x+26+5x=2

7x+5x=12x

12x=2-26

12x= -24

(divide both sides by 12)

x= -2

Answer:

\(7x + 26 + 5x = 2 \\ 12x = 2 - 26 \\ 12x = - 24 \\ x = - 2\)

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The runner's average speed in kilometers per hour is 24.257 km.

The total distance covered by the runner is 1 mile. The relation between kilometers and miles is given as 1 km = 0.62 mi. Converting 1 mile to km by using the given relation, we get-

Distance = 1 mile

 = 1 mile × [1 km/0.62 mile]

= 1.6129 km

The time taken to complete a 1-mile run is 3 minutes and 59.37 seconds. The relation between hours and minutes is given below.

1 hour = 60 minutes ……(1)

Converting 3 minutes to hours using equation (1), we get-

3 minutes = 3 minutes × [1 hour/60 minutes]

= 0.05 hours

The relation between hours and seconds is given below.

1 hour = 3600 second …….(2)

Converting 59.37 seconds to hours using equation (2), we get-

59.37 seconds = 59.37 seconds × [1 hour/3600 seconds]

= 0.016492 hours

Total time to cover 1 mile = (0.05 + 0.016491) hours = 0.066492 hours

The average speed of the runner is calculated by the following relation-

Average Speed = Distance (km)/time (hours)

= 1.6129 km/0.066492 hours

= 24.257 km/hour

Therefore, the average speed in kilometers per hour is 24.257km.

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Answer:

2x - 0.4x ;

8x/5 ;

Yes

Step-by-step explanation:

Let number of miles = x

Arlene:

Double number of miles = 2 * x = 2x

Subtract 20% of the result :

2x - 20% of 2x ;

2x - 0.4x

Raul:

Divides Number of miles by 5 ; x / 5

Multiplies result by 8 ;

8 * (x/5) = 8x /5

To know if expressions are equivalent :

Let x = 10 miles

Using Arlene's expression:

2x - 0.4x

x = 10

2(10) - 0.4(10) = 16

Using Raul's expression :

8x / 5

(8*10) / 5

80/5

= 16

Since they give the same result, we can conclude that the expression are equivalent

Labor productivity is normally measured by (c) dividing total real domestic output by the number of workers or by the number of labor hours.

What is labour productivity in India?

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Answer:

4 + 36y

Step-by-step explanation:

first we time both the numbers in the brackets by what ever is outside the brackets

4 ×1=4

9×4=36

Answer:

4 + 36y

Step-by-step explanation:

Original Equation:

4(1 + 9y)

Use distributive property

4 x 1 = 4

4 x 9y = 36y

So it would be 4 + 36y

4 + 36y

Hope this helped in time :)

The probability that at least one of them is not wearing a seatbelt is 0.5021.

Potential is described by probability. The value's range is 0 to 1. Probability has been applied into mathematics to predict the likelihood of events. Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.

These concepts now have an axiomatic mathematical formalization thanks to probability theory, which is widely employed in disciplines including statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, and philosophy.

Let X be the proportion of drivers who do not use a seat belt. It has a binomial distribution, as shown by,

n=4, p=1-0.84

p=0.16

The likelihood that at least one of them is not wearing seatbelt is:

P(X≥1)=1-P(X<1)

=1-P(X=0)

=1-{(4₀)(0.16)⁰(1-0.16)⁴⁻⁰

=1-0.4979

=0.5021.

Therefore, the probability that at least one of them is not wearing a seatbelt is 0.5021.

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The probability that at most a fifth of the buyers would prefer green is approximately 0.0198

This problem can be solved by using the binomial distribution. Let X be the number of buyers out of 15 who prefer green. Then X follows a binomial distribution with parameters n = 15 and p = 0.6.

We want to find the probability that at most a fifth of the buyers would prefer green. This means we want to find P(X ≤ 3), since a fifth of 15 is 3.

Using the binomial probability formula, we have

P(X ≤ 3) = Σ P(X = k) for k = 0 to 3

= P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

= (15 choose 0) (0.6)⁰ (0.4)¹⁵ + (15 choose 1) (0.6)¹(0.4)¹⁴ + (15 choose 2) (0.6)² (0.4)¹³ + (15 choose 3) (0.6)³ (0.4)¹²

= 0.0000265 + 0.000397 + 0.00312 + 0.0163

Add the number

= 0.0198

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Step-by-step explanation:

5x = 2x + 3x

5x = 180⁰ ( correspondence angles)

x = 36⁰ is the value of x

Answer:

Step-by-step Solution:

We know that:

Solution:

Hence, the measure of x is 36°