Find the indicated area under tho standard normal Gurve. To the right of z=0.03 Clck here to viev Rage 1 of the standard normal lable. Cick here to vew page 2 of the standard nomal takile. The area to the right of z=0.03 under the standard normal curve is (Round to four decimal places as neoded.)

Answer:

-7x(16)

Step-by-step explanation:

The only thing you can combine is the 7+9

By elimination, the solution of the system of equations, x + y = 12 and x - y = 2, is (7 , 5).

A system of equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy all the equations.

There are three methods that can be used to solve system of equations.

1. Elimination

2. Substitution

3. Graphing

Using the elimination method, given two equations in x and y, a variable should be eliminated by adding/subtracting the two equations.

Adding the two equations will eliminate the variable y.

x + y = 12     (equation 1)

x  - y = 2    (equation 2)

2x + 0y = 14

x = 7

Substitute the value of x to any of the two equation and solve for y.

x + y = 12     (equation 1)

7 + y = 12

y = 12 - 7

y = 5

Hence, the solution of the system of equations is (7 , 5).

Learn more about solving systems of equations by elimination here: https://brainly.com/question/28405823

#SPJ4

Answer:

5(10k + 1) + 2(2+8k)

Use distributive property

5(10k)+5(1)+2(2)+2(8k)

50k+5+4+16k

combine like terms (50k and 16k are alike as well as 5 and 4)

50k+16k and 5+4

66k+9 is the answer

The probability that a randomly selected household has 3 cars is given as follows:

0.19 = 19%.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

On a probability distribution, the sum of all the probabilities is of 1, hence the probability of 3 cars is obtained as follows:

0.07 + 0.19 + 0.47 + p + 0.06 + 0.02 = 1

0.81 + p = 1

p = 1 - 0.81

p = 0.19.

p = 19%.

Learn more about the concept of probability at https://brainly.com/question/24756209

#SPJ1

The roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x=-7 and x=1.

Any equation in algebra that can be written in the standard form where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation.

In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.

So, the roots of 0 = 2x² + 12x-14 are:

2x² + 12x-14  = 0

2x² + 14x - 2x -14

2x(x + 7) - 2(x + 7)

(2x - 2) (x + 7)

Now, use the zero product property as follows:

2x - 2 = 0

2x = 2

x = 2/2

x = 1

And

x + 7 = 0

x = -7

Therefore, the roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x = -7 and x = 1.

Know more about a quadratic equation here:

https://brainly.com/question/1214333

#SPJ1

Correct question:

What are the roots of the quadratic equation 0 = 2x² + 12x-14?

a. 1,6, -7

b. 2,12,-14

c. -7,1

d. -1,7

Answer:

  b > 1

Step-by-step explanation:

You want to know the conditions on an exponential function that represents growth.

The value of 'b' in the exponential function y = a·b^x is called the "growth factor." Each time x increases by 1 unit, the value of y is multiplied by 'b'. If that product is increasing, the value of 'b' must be greater than 1.

The relation represents growth when b > 1.

An exponential function in the form \(y = ab^x\) represents growth when the base (b) is greater than 1.

In an exponential function of the form y = ab^x, the base (b) is a crucial component. The behavior of the function depends on the value of the base.

When the base (b) is greater than 1, it means that b is a positive number larger than 1. In this scenario, as the value of x increases, the value of \(b^x\) also increases exponentially. This results in the function \(y = ab^x\) exhibiting growth.

To better understand this growth behavior, let's consider an example. Suppose we have an exponential function \(y = 2^x\). As x increases from 0, the values of \(2^x\) will be as follows:

For x = 0, \(2^0\) = 1

For x = 1, \(2^1\) = 2

For x = 2, \(2^2\) = 4

For x = 3, \(2^3\) = 8

For x = 4, \(2^4\) = 16

As you can see, as x increases, the values of \(2^x\) grow exponentially. This demonstrates the growth behavior of exponential functions when the base is greater than 1.

It's important to note that when the base (b) is between 0 and 1 (exclusive), the exponential function will exhibit decay or decreasing behavior rather than growth.

In summary, an exponential function of the form \(y = ab^x\) represents growth when the base (b) is greater than 1. As x increases, the function values increase exponentially, indicating a growth pattern.

Learn more about exponential function on:

https://brainly.com/question/12626186

#SPJ4

Based on the coupon and the discount, we can calculate that the original price of the purse is $85.00

The 20% was applied after the coupon so the price after the coupon was:

= Total price / ( 1 - Discount)

= 60 / ( 1 - 20%)

= $75

The coupon was $10 so before it was attached it the price was:

= Price after coupon + coupon

= 75 + 10

= $85

In conclusion, the original price was $85.

Find out more on this at https://brainly.com/question/14413529.

The number we are looking for is x - 6.

To determine the number that, when subtracted from x, results in 6, we can set up the equation:

x - y = 6

Here, y represents the unknown number we are trying to find. To isolate y, we can rearrange the equation:

y = x - 6

Therefore, the number we are looking for is x - 6.

It's important to note that in mathematics, without specific values or additional information about x, we cannot determine a unique solution. The expression "6 - xx - 66 + x6 - ( x - 6)" you provided is not clear and does not allow us to solve for x or the unknown number directly. If you have specific values or additional context, please provide them, and I'll be glad to assist you further.

Learn more about number

https://brainly.com/question/24644930

#SPJ11

Assuming all else remains constant, increasing the sample size from 25 to 100 will generally result in a narrower confidence interval around the mean. increasing the sample size generally leads to a more precise estimate of the population mean, resulting in a narrower confidence interval around the mean.

This can be since the standard blunder of the cruel, which measures the changeability of the test cruel around the populace cruel, diminishes as the test estimate increments. As the standard blunder diminishes, the edge of the blunder (which is based on the standard mistake and the chosen certainty level) diminishes, coming about in a smaller certainty interim.

The relationship between the test measure and the width of the certainty interim is contrarily corresponding. This implies that as the test measure increments, the width of the certainty interim diminishes, and as the test measure diminishes, the width of the certainty interim increments.

To learn about population mean visit:

https://brainly.com/question/31101410

#SPJ4

Answer:Two lines are parallel if the have the same slope. To find the slope of the line parallel to the line y=4/7x-2 we need to get the line into slope-intercept form (y = mx + b), but the line is already in that form, so the slope is m = 4/7.

Step-by-step explanation:

At point, the parametric curve cross (4, 1, 32).

t functions expressed as x = f(y) = y = f(x) = (some function of the variable x) (some function of the variable y).

It is frequently more easier to view functions of two or more variables (although we'll keep it at two here) as parametric functions, particularly in physical science.

The introduction of the idea of time makes parametric functions the most simple to understand.

Imagine tracing a parabola-like function from left to right as time passes.

Then, it is simple to begin considering how the x-coordinate and the y-coordinate change as a function of time: x = f(t), y = g. (t). In this sense, time is actually referred to as the parameter.

We will investigate functions for which a point exists in this section.

Hence, At point, the parametric curves cross (4, 1, 32).

learn more about parametric functions click here:

brainly.com/question/10196044

#SPJ4

To prove the validity of the argument using the rules of inference, we can apply the rules of inference step by step. Let's break down the given premises and the conclusion:

Premises:

(x)(F x → (H x ∨ I x))

¬(x)(F x → H x)

(x)(I x → (¬Z x ≡ H x))

Conclusion: 4. ¬(x)(F x → ¬Z x)

Proof:

Therefore, we have successfully derived the conclusion ¬(x)(F x → ¬Z x) using the validity of the argument using the rules of inference

To know more about argument , visit

https://brainly.com/question/31139976

#SPJ11

Answer:

the first option

Step-by-step explanation:

it is directly there in the problem description.

f(x) = 1.8x - 10

g(x) = -4

so, for f(x)=g(x) that automatically means

1.8x - 10 = -4

1.8x = 6

x = 6/1.8 = (6/1) / (18/10) = 10×6 / 18×1 = 60/18 = 10/3

The 0.00133 in scientific notation is 1.33 x 10^(-3).

Scientific notation is in form of a x 10^b, where b is integer & a is non-zero real number between 1 and 10.

There are 3 stages to convert 0.00133 in scientific notation :

Therefore, 0.00133 in scientific notation is 1.33 × 10^(-3) and It has 3 significant figures.

Learn more about scientific notation here:

https://brainly.com/question/1767229

#SPJ2

The equation x² y² = 4 corresponds to a hyperbola when only considering x and y as variables. When considering x, y, and z as variables, the equation corresponds to a two-sheeted hyperboloid.

a) When only x and y are the variables being considered, the equation x² y² = 4 corresponds to a circle in the xy-plane. The circle has a center at the origin (0,0) and a radius of 2.

b) If x, y, and z are the only variables being considered, the equation x² y² = 4 still represents a circle in the xy-plane, but it becomes a cylinder along the z-axis. This cylinder has a center on the z-axis and a radius of 2, extending infinitely along the z-axis.

To know more about hyperbola visit:

https://brainly.com/question/27799190

#SPJ11

Using translation concepts, it is found that the equation is given by:

\(y = -3\sqrt[3]{x} - 8\)

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent cube root function is given by:

\(y = \sqrt[3]{x}\)

It was reflected across the x-axis, that is, multiplied by -1, hence:

\(y = -\sqrt[3]{x}\)

It was vertically stretched by a factor of 3, hence:

\(y = -3\sqrt[3]{x}\)

Then, it was translated 8 units down, hence:

\(y = -3\sqrt[3]{x} - 8\)

More can be learned about translation concepts at https://brainly.com/question/4521517

Given the fraction of each colored chalk, Andrea is right that less than 1/2 the chalk in the bucket is blue.

Total = 2/6 + 5/12 + 3/12

= (4+5+3) / 12

= 12/12

= 1

Fraction of blue : Total chalk

= 5/12 : 1

Blue = 5/12 ÷ 1

= 5/12 × 1/1

= 5/12

= 0.42

So,

1/2 = 0.5

Therefore, Andrea is right that less than 1/2 the chalk in the bucket is blue.

Learn more about fraction:

https://brainly.com/question/11562149

Using sine rule, the value of angle K is  81.89°

The sine rule, also known as the law of sines, is a mathematical relationship that relates the lengths of the sides of a triangle to the sines of its opposite angles. It can be used to find the unknown sides or angles of a triangle when certain information is given.

The sine rule states:

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

In this problem, applying sine rule, we can find the unknown angle.

k / sin K = j / sin J

Substituting the values into the formula;

6/sin k = 4.9/sin 54

sin K = 6 sin 54 / 4.9

K = 81.89°

Learn more on sine rule here;

https://brainly.com/question/30401249

#SPJ1

A distribution of values is normal with a mean of 219.3 and a standard deviation of 77.

We need to find the probability that a randomly selected value is less than 334.8.P(X < 334.8)

To find this, we need to calculate the z-score of 334.8 first.

The formula for calculating z-score is as follows;

Z-score = (x - μ) / σWhere X is the value, μ is the mean, and σ is the standard deviation.

Z-score of 334.8 can be calculated as follows;Z-score = (334.8 - 219.3) / 77= 1.50

Now we need to find the probability that the value is less than 334.8 using the z-score table or calculator.

Using the standard normal distribution table, we can find that the probability of a value being less than 1.50 is 0.9332 (accurate to 4 decimal places).

Therefore, the required probability is P(X < 334.8) = 0.9332.

To know more about distribution visit:

brainly.com/question/14159663

#SPJ11

Answer:

The sum of the probabilities of all possible outcomes must equal 1.

Step-by-step explanation:

To solve this problem, we can use the binomial distribution, since we have a fixed number of trials (two children) and each trial has two possible outcomes (boy or girl) with a known probability of success (0.48 for a girl).

Let X be the random variable representing the number of girls born to the family. Then X follows a binomial distribution with parameters n = 2 (the number of trials) and p = 0.48 (the probability of success). The probability mass function (PMF) of X is given by:

P(X = k) = (n choose k) * \(p^{k}\) * \((1 - p)^{(n - k)}\)

where (n choose k) =  \(\frac{n! }{(k! * (n - k)!)}\) is the binomial coefficient.

To find the probability that the family has 0, 1, or 2 girls, we need to calculate the values of P(X = 0), P(X = 1), and P(X = 2):

P(X = 0) = (2 choose 0) * \(0.48^{0}\) * \(0.52^{2}\) = 0.2704

P(X = 1) = (2 choose 1) *  \(0.48^{1}\)  *  \(0.52^{1\\}\) = 0.4992

P(X = 2) = (2 choose 2) *  \(0.48^{2}\)  * \(0.52^{0}\) = 0.2304

Therefore, the probability that the family has 0, 1, or 2 girls is:

P(X <= 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2704 + 0.4992 + 0.2304 = 1

Note that the sum of the probabilities of all possible outcomes must equal 1.

To know more about probabilities refer here

https://brainly.com/question/30034780#

#SPJ11

The probability that all adjacent points differ in colour is \(\frac{1}{5}\).

What is probability ?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

Have given ,

We have first three colour Green that is g1 , g2 and g3

And We have next three colour red that is r1 , r2 and r3

The probability that all adjacent points differ in colour = 3! * \(^{4}C_{3}\) 3! / 6!

=> \(\frac{ 3! * 4! *3!}{6!}\)

=> \(\frac{1}{5}\)

The probability that all adjacent points differ in colour is \(\frac{1}{5}\).

To learn more about probability visit : brainly.com/question/30034780

#SPJ4

Answer:

In order, 10, 14, (7, 14), (10, 20)

Step-by-step explanation:

The slot for C - Number of Beads is 10

This is because the patern is that it is increasing by 3.

The slot for B - Length of Neclace (cm) is 14

This is because the patern is that it is X2 from the Number of Beads.

The slot for B - Ordered Pairs is (7, 14)

This is because its X value is the according Number of Beads and the Y value is the according Length of Necklace.

The slot for C - Ordered Pairs is (10, 20)

(See the explanation above)

We can see here that:

A cube is a three-dimensional geometric shape that has six square faces, all of which are congruent (equal in size) and perpendicular to each other. It is a special type of rectangular prism where all edges have the same length, and all angles are right angles (90 degrees).

Cubes are commonly encountered in everyday life, such as dice, boxes, and Rubik's Cube puzzles. They have precise and uniform geometry, making them useful in various mathematical and engineering applications.

Learn more about cube on https://brainly.com/question/19891526

#SPJ1

The null hypothesis is that the population mean is equal to 3 minutes. The calculated p-value from the sample data is 0.28, which is higher than the 0.05 significance level.

not significantly more than 3 minutes.

The null hypothesis is that the population mean is equal to 3 minutes. The calculated p-value from the sample data is 0.28, which is higher than the 0.05 significance level. Therefore, we cannot reject the null hypothesis and conclude that the mean of the population is not significantly more than 3 minutes.

1. The null hypothesis is that the population mean is equal to 3 minutes.

2. A sample of 100 customers was taken, with an average length of calling time of 3.1 minutes and a sample standard deviation of 0.5 minutes.

3. The p-value from the sample data is 0.28, which is higher than the 0.05 significance level.

4. Therefore, we cannot reject the null hypothesis and conclude that the mean of the population is not significantly more than 3 minutes.

Learn more about null hypothesis here

https://brainly.com/question/28920252

#SPJ4

Answer:

£14.29

Step-by-step explanation:

0.98x=14

x=14.29

Answer:

14.28

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Given hotel bill = ₹4800

Let initially, number of people = \(x\)

Initial Bill of each person = Hotel bill divided by number of people = \(\frac{4800}{x}\)

4 people are added to the hotel stay.

i.e. new number of people = \(x+4\)

New bill becomes ₹200 less for each person.

New bill for each person = \(\frac{4800}{x}\) - 200

Hotel bill remains the same i.e. ₹4800 = New bill for each person multiplied by new number of people.

\(4800 = (\dfrac{4800}{x}-200) (x+4)\\\Rightarrow 4800 = \dfrac{4800}{x}\times x -200\times x + \dfrac{4800}{x}\times 4 - 200\times 4\\\Rightarrow 4800 = 4800 -200 x + \dfrac{4800}{x}\times 4 - 800 \\\Rightarrow 800 = -200x+\dfrac{19200}{x}\\\Rightarrow 4 = -x+\dfrac{96}{x}\\\Rightarrow x^2+4x-96=0 \\\Rightarrow x^2+12x-8x-96=0\\\Rightarrow x(x+12)-8(x+12)=0\\\Rightarrow \bold{x = 8}, x= -12\ not\ possible\)