complete the table for
f(x) =x^2-2

To compute the given probabilities involving the standard normal random variable z, we can use the standard normal distribution table.

To find the probability P(−1.98 ≤ z ≤ 0.45), we need to look up the corresponding values in the standard normal distribution table. The table provides the area under the standard normal curve up to a given z-value.

First, we find the area to the left of z = −1.98 in the table, which is 0.0239. Then, we find the area to the left of z = 0.45, which is 0.6736. To find the desired probability, we subtract the smaller area from the larger one: P(−1.98 ≤ z ≤ 0.45) = 0.6736 - 0.0239 = 0.6497.

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Answer:

3 and 15/22

Hope you have a great day ^^

~sunny

The graph of the system of inequalities can be seen below, there we can see that one possible solution is x = 10, y = 5.

Let's define the variables:

x = number of mangos she buys.

y = number of peaches she buys.

We know that she wants to buy no less than 13 fruits, then:

x + y ≥ 13

And she wants to spend $15 at most, then:

x*0.75 + y*1.25 ≤ 15

Then the system of inequalities is:

x + y ≥ 13

x*0.75 + y*1.25 ≤ 15

And the graph can be seen below:

There we can see that one possible solution is x = 10, y = 5.

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Answer:

Step-by-step explanation:

\(\pmb {sin(22)^o=\cfrac{x}{35} }\)

\(\pmb {35sin(22)=w}\)

\(\pmb {w=13.11}\)

_________________

Hope this helps!

Have a great day! :)

Answer:

no

Step-by-step explanation:

Answer:

1 inch-8  lot of math make me brainliest

Step-by-step explanation:

3ft-8yd

or 36 in- 288in

18-144

9-72

3-24

Therefore, the value that needs to be added to (-5)/8 in order to get 5/9 is -5/72.

To get 5/9, what number should be added to (-5)/8?

We can begin the solution by adding "x" to (-5)/8. Then, we will have:((-5)/8) + x = 5/9

The next step is to isolate the variable x, which is accomplished by subtracting (-5)/8 from both sides. The equation becomes:(-5/8) + (5/9) = x

We'll need to find a common denominator for this expression:

((-45)/72) + (40/72) = xSimplifying, we get:

((-45) + 40)/72 = x(-5)/72 = x

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Answer:

Answer:

40 minutes

Step-by-step explanation:

rate = distance/time = miles/hr

rate = 240 mi/2 hr = 120 mi/hr

time = distance / rate = (80 mi)/(120 mi/hr) = 0.67 hr = 40 minutes

(0.67 hr)(60 min/hr) = 40 minutes

To solve a 3×3 augmented matrix use the method of elementary row operations.

What is a matrix?

A matrix is a rectangular array or table with numbers or other objects arranged in rows and columns. Matrices is the plural version of matrix. The number of columns and rows is unlimited. Matrix operations include addition, scalar multiplication, multiplication, transposition, and many others.

An augmented matrix for a system of equations is a matrix of numbers where each column contains all the coefficients for a single variable and each row represents the constants from one equation (both the coefficients and the constant on the other side of the equal sign).

The system of equations are - x - 2y + 3z = 7, 2x + y + z = 4, -3x + 2y -2z = -10

Here is the augmented matrix for this system.

\(\left[\begin{array}{rrr|r}1 & -2 & 3 & 7 \\2 & 1 & 1 & 4 \\-3 & 2 & -2 & -10\end{array}\right]\)

This matrix can be solved using the method of elementary row operations.

Interchange Two Rows. With this operation interchange all the entries in row  i and row j. The notation used here is Ri ↔ Rj.

\(\left[\begin{array}{rrr|r}1 & -2 & 3 & 7 \\2 & 1 & 1 & 4 \\-3 & 2 & -2 & -10\end{array}\right] \stackrel{R_1 \leftrightarrow R_3}{\rightarrow}\left[\begin{array}{rrr|r}-3 & 2 & -2 & -10 \\2 & 1 & 1 & 4 \\1 & -2 & 3 & 7\end{array}\right]\)

Multiply a Row by a Constant. In this operation multiply row i by a constant c and the notation will be cRi.

\(\left[\begin{array}{rrr|r}1 & -2 & 3 & 7 \\2 & 1 & 1 & 4 \\-3 & 2 & -2 & -10\end{array}\right] \stackrel{-4 R_3}{\rightarrow}\left[\begin{array}{rrr|r}1 & -2 & 3 & 7 \\2 & 1 & 1 & 4 \\12 & -8 & 8 & 40\end{array}\right]\)

Add a Multiple of a Row to Another Row.

Row i will be replaced in this procedure with row i times a constant c plus row j. Ri + cRi → Rj is the notation for this operation. This procedure involves taking an input from row i multiplying it by c, adding the equivalent value from row j, and then returning the result to row i.

\(\left[\begin{array}{rrr|r}1 & -2 & 3 & 7 \\2 & 1 & 1 & 4 \\-3 & 2 & -2 & -10\end{array}\right] \begin{gathered}R_3-4 R_1 \rightarrow R_3 \\\rightarrow\end{gathered}\left[\begin{array}{rrr|r}1 & -2 & 3 & 7 \\2 & 1 & 1 & 4 \\-7 & 10 & -14 & -38\end{array}\right]\)

Let’s go through the individual computation to make sure you followed this.

-3 - 4(1) = -7

2 - 4(-2) = 10

-2 - 4(3) = -14

-10 - 4(7) = -38

Therefore, the matrix is solved using row operations.

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Answer

g(x) = 2ˣ⁺² or 2^(x + 2)

Explanation

When a function f(x) is translated horizontally along the x-axis by a units, the new function is represented as

f(x + a) when the translation is by a units to the left.

f(x - a) when the translation is by a units to the right.

Looking at the coordinates of the points given on f(x) and g(x), we can see that g(x) is just f(x) translate 2 units to the left.

Hence, if f(x) = 2ˣ

g(x) = f(x + 2) = 2ˣ⁺² or 2^(x + 2)

Hope this Helps!!!

Answer:

8 students in van, 29 students in bus

Step-by-step explanation:

To find the number of students in each van and bus, we can use system of equations to solve. Our first step is to create one equation for High School A and B. Let's use x for vans and y for buses, but ultimately, the variables don't matter that much.

High School A: 13x+6y=278

High School B: 10x+12y=428

Let's use elimination method to solve. We would multiply the first equation by 2.

26x+12y=556

10x+12y=428

Now that the 12y is the same in both equations, let's eliminate y by subtracting the 2 equations.

 26x+12y=556

-(10x+12y=428)

          16x=128

With 16x=128 left, we can just solve for x.

16x=128               [divide both sides by 16]

x=8

Now that we have x=8, we can plug that into the equations above to find y.

13(8)+6y=278     [multiply]

104+6y=278       [subtract both sides by 104]

6y=174                [divide both sides by 6]

y=29

With x=8 and y=29, we know that there are 8 students in each van and 29 students in each bus.

Step-by-step explanation:

Let,

No. of students in vans = x

No. of students in bus = y

In case 1

13x + 6y = 278(1)

In case 2

10x + 12y = 428(2)

On multiplying eq. 1 by 2

2(13x + 6y) = 2(278)

26x + 12y = 556 (3)

On subtracting 2 and 3

26x + 12y - (10x + 12y) = 556 - 428

26x + 12y - 10x - 12y = 128

16x = 128

x = 128/16

x = 8

From 1

13(8) + 6y = 278

104 + 6y = 278

6y = 278 - 104

6y = 174

y = 174/6

y = 29

6(8-2x)=4x

First, apply distributive property:

6 (8)+ 6 (-2x) = 4x

48-12x =4x

Move the "x" terms to the right:

48 = 4x+12x

Combine like terms

48 = 16 x

Divide both sides of the equation by 16:

48/16 = 16x/16

3 = x

x = 3

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

look at that nayaisamazing. GonnaCry

Answer:

No. It is not possible to construct a triangle with lengths of its sides 4cm, 5cm and 9cm because the sum of two sides is not greater than the third side:

5 + 4 is not greater than 9.

Step-by-step explanation:

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 10 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:

The answer is 35.2

Step-by-step explanation: your welcome

The introduction of imaginary numbers similar to the introduction of negative numbers through the determination of square root of a negative number.

Complex numbers are square root of a negative number. Since a square root of a negative number  cannot be determined, it is always represented with "i"

Given the rational number √-4 for instance, this will result in complex number or imaginary number since it is a negative number.

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Answer:

42 cubic units

Step-by-step explanation:

A rectangle prism formula is V = l x h x w.

The length is 7

The height is 3

The width is 2

Then multiply 7, 3, and 2 together (7 x 3 x 2) = 42

The volume of the Rhonda rectangular prism will be 42 cubic units thus option (C) is correct.

Volume is the scalar quantity of any object that specified occupied space in 3D.

For example, the space in our room is referred to as volume.

Volume has units of cube example meter³,cm³, etc.

The volume of the rectangular prism is given as,

V = length × height × width

Put length as 7 unit cubes, height as 3 unit cubes, and width as 2 unit cubes.

V = 7 x 3 x 2 = 42 units³.

Hence "The Rhonda rectangular prism will have a volume of 42 cubic units".

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The general convention is to reject a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect. This is False.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates 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.

After a performing a test, scientists can reject the null hypothesis meaning there is a definite, consequential relationship between the two phenomena

In this case, the convention is to accept a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect.

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Answer:

162.5

Step-by-step explanation:

Answer: I think its 8

Step-by-step explanation:

Answer:

A reflection across the y-axis and a translation 2 units down.

Explanation:

Answer:

b

Step-by-step explanation:

Answer:

The ratio of black shirts to blue shirts is 7:2

Step-by-step explanation:

Ratios

A ratio is a way to compare two numbers of the same kind. We use ratios to compare things of the same type. For example the ratio of boys and girls in a class. Ratios as expressed in the form n:m.

There are 36 red shirts, 12 blue shirts, 42 black shirts, and 60 white shirts. It's required to calculate the ratio of black shirts to blue shirts. We'll use fractions to express the relationship. The fraction will divide 42 by 12:

\(\frac{42}{12}\)

Simplifying by 6:

\(\frac{42}{12}=\frac{7}{2}\)

Thus, the ratio of black shirts to blue shirts is 7:2

Answer:

black shirts to blue shirts is 7:2

Step-by-step explanation:

The probabilities are given as follows:

The Poisson distribution was used, as we have only the mean of the distribution, and the Poisson distribution was then approximated to the normal.

The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

For the Poisson distribution, the standard deviation is the square root of the mean, hence the mean and the standard deviation for the normal distribution are given as follows:

\(\mu = 150, \sigma = \sqrt{150} = 12.15\)

The probability of less than 100 customers per day, using continuity correction, is one subtracted by the p-value of Z when X = 99.5, hence:

Z = (99.5 - 150)/12.15

Z = -4.16

Z = -4.16 has a p-value of 0.

The probability of more than 185 customers is one subtracted by the p-value of Z when X = 184.5, hence:

Z = (184.5 - 150)/12.15

Z = 2.84

Z = 2.84 has a p-value of 0.9977.

Hence:

1 - 0.9977 = 0.0023 = 0.23%.

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The growth rate of the bacterial colony after 3 hours is 32%, the population of a slowly growing bacterial colony after t hours is given by the function p(t) = 100 + 24t + 2t²

The growth rate of the colony is the rate of change of the population, which is given by the derivative of the function. The derivative of p(t) is p'(t) = 24 + 4t

The growth rate after 3 hours is p'(3) = 24 + 4 * 3 = 32. This means that the population of the colony is increasing by 32% after 3 hours.

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The positive root of the equation \(4cos(x) - x^4\) using Newton's method is 0.866966.

We begin with an initial guess \(x_{0}=1\), and we can iteratively define the calculation using the formula:

\(x_{i+1}= x_{i} - \frac{ f(x_{i})}{f'(x_{i})}\)

where \(f(x)=4cos(x) - x^4\)and f'(x) is the derivative of f(x).

So, \(f'(x) = -4sin(x) - 4x^3.\)

We repeat this process, using the previous approximation to find the next one, until we reach the desired accuracy.

In each iteration, we substitute the current approximation into the formula to refine our estimate.

Iteration 1: \(x_{1}= x_{0}- f(x_{0})/f'(x_{0})= 1 - \frac{ (4cos(1) - 1^4)}{(-4sin(1) - 4(1)^3)}= 1.576\)

Iteration 2: \(x_{2}= x_{1} - f(x_{1})/f'(x_{1}) = 1.1576 - \frac{(4cos(1.1576) - 1.1576^4)}{(-4sin(1.1576) - 4(1.1576)^3)} = 1.2055\)

Iteration 3: \(x_{3}= x_{2} - f(x_{2})/f'(x_{2}) = 1.2055 - \frac{4cos(1.2055-(1.2055)^4)) }{(-4sin(1.2055) - 4(1.2055)^3)} = 1.2080\)

After several iterations, we get that the positive root of the equation \(4cos(x) - x^4\) is approximate x ≈ 0.866966, accurate to six decimal places.

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The statement that is NOT true is: "The priors used in the Bayesian approach to variant calling do not influence which genotype you infer from your data."

Bayesian approach is a statistical method that uses prior probabilities to update the probability of an event based on new data. In variant calling, the prior probabilities are used to estimate the likelihood of observing a variant at a certain position in the genome. The priors are chosen based on the prior knowledge of the biology of the organism and the specific variant being called. The priors used in the Bayesian approach will influence which genotype is inferred from the data, as the prior probabilities can bias the variant calling towards certain genotypes.

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