PLEASE HELP WILL GIVE BRAINLIEST!!

The probability that z lies between 0 and 3.01 is: 0.9987 - 0.5 = 0.4987 So, the answer is 0.4987. To find the probability that z lies between 0 and 3.01 for a standard normal variable, you need to look up the values in a standard normal (z-score) table or use a calculator with the normal distribution function.

For z = 0, the probability is 0.5 (due to symmetry of the standard normal distribution). For z = 3.01, the probability is approximately 0.9987. To find the probability between 0 and 3.01, subtract the probability of z = 0 from the probability of z = 3.01.

0.9987 - 0.5 = 0.4987

So, the probability that z lies between 0 and 3.01 is approximately 0.4987. Your answer is 0.4987.

Learn more about variable here:

https://brainly.com/question/17344045

#SPJ11

The integral that quantifies the increase in the volume of a sphere as its radius r triples from r unit to 3r units is 26πr³.

To write an integral that quantifies the increase in the volume of a sphere as its radius r triples from r unit to 3r units, we will use the formula for the volume of a sphere, which is V = (4/3)πr³.

To find the increase in volume, we will integrate the derivative of the volume with respect to r from r to 3r:

ΔV = ∫(dV/dr) dr from r to 3r

First, find the derivative of the volume with respect to r:

dV/dr = d(4/3πr³)/dr = 4πr²

Now, integrate the derivative with respect to r from r to 3r:

ΔV = ∫(4πr²) dr from r to 3r = 4π [∫r² dr from r to 3r]

= 4π [(1/3)r³] evaluated from r to 3r

= 4π [(1/3)(3r)³ - (1/3)r³]

= 4π [(27 - 1)/3] r³

= 26πr³

So, the integral that quantifies the increase in the volume of a sphere as its radius r triples from r unit to 3r units is 26πr³.

Learn more about integral here:

https://brainly.com/question/18125359

#SPJ11

The calculated value of the expression √97 is between 8 and 10

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

√97

The above expression is a radical expression, and at the same time it is an irrational number

This is because

When evaluated, we have

√97 = 9.848.....

This number is between 8 and 10

Hence, the value of the expression is between 8 and 10

Read more about expression at

https://brainly.com/question/15775046

#SPJ1

Answer:

16 i think

Step-by-step explanation:

Answer:

We know that

Area of rectangle: Length" Breadth

For Question

Area of respective Rectangle are:

A : 13*(x+12) ft²

B : 10*8=80ft²

C : (x+10)*7 ft²

D : (x+10)*(10-7)=(x+10)*3 ft2

E : 6*6 =36 ft²

F : 7*6= 42 ft²

G : (x+8)*(x+7) ft²

H : (3x+23)*(2x+17) ft²

I. : (2x+16)*(x+8) ft²

Answer: The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. What is this? 

Step-by-step explanation: I would hope this helps! a picture would better help me understand your question!!

The perimeter of the triangle with sides of 2m, 2m, and 2m is:

Perimeter = sum of all sides

Perimeter = 2m + 2m + 2m

Perimeter = 6m

Therefore, the perimeter of the triangle is 6 meters.

Answer: The answer is 0.16. i hope I helped you god bless you.

Step-by-step explanation:

Answer: -7i + 4j in component form is (-7, 4).

Step-by-step explanation:

Answer:

Area is the size of the surface. To get the area you multiply one side from the vertical edge and 1 from the horizontal

Step-by-step explanation: heres an example sorta pretend its full shape        

    i

27 i

    i

    i

    ____________

                10

10x27=270

270 is the area

An area is the quantity showing how much an object has covered a space.

Area is the size of a surface.

Area :-

Area of a shape is a two dimensional quantity. The term “area” refers to the space inside the boundary or perimeter of a closed shape.

The geometry of such a shape contains at least three sides joined together to form a boundary.

Symbolic representation of such space in mathematics refers to the “area” formula.

Learn more about area, click;

https://brainly.com/question/27683633

#SPJ2

Step-by-step explanation:

Im a fifth grader so I gave it my best shot and there might be more steps to it but I'm pretty sure its 2/10

The second number in an ordered pair is the y-coordinate and corresponds to a number on the y-axis.

It follows from the task content that the second number in an ordered pair represents what coordinates as required to be determined.

Recall that an ordered pair of coordinates usually takes the form; (x, y) in which case, x which is the first number represents the x-coordinate while y, which is the second number represents the y-coordinate.

On this note, the two blanks in the given sentence to be completed are best filled with; "second number" and y-axis respectively.

Read more on ordered pairs;

https://brainly.com/question/11139505

#SPJ1

Answer:

3x^3 + 6x^2 - 24x + 27.

Step-by-step explanation:

To subtract these two polynomials, we need to combine like terms.

7x^3 - 16x + 18 - (4x^3 - 6x^2 + 8x - 9)

First, we can simplify the parentheses by distributing the negative sign:

7x^3 - 16x + 18 - 4x^3 + 6x^2 - 8x + 9

Next, we can combine like terms:

(7x^3 - 4x^3) + (6x^2) + (-16x - 8x) + (18 + 9)

Simplifying further:

3x^3 + 6x^2 - 24x + 27

Therefore, the answer is 3x^3 + 6x^2 - 24x + 27.

Answer:  121

Step-by-step explanation:

Area of a parallelogram = base x height = 11 x 11 = 121

When a square pyramid is sliced in such a way that the plane passes through all five faces of the pyramid, the resulting cross-section is a pentagon.

The square pyramid has a square base and four triangular faces, so when a plane passes through all five faces, it intersects each of the four triangular faces to form a trapezoid. These four trapezoids combine to form a pentagon.

The resulting cross-section can vary depending on the angle at which the plane intersects the pyramid. If the plane intersects the pyramid at a right angle to the base, the resulting pentagon will be a regular pentagon. If the plane intersects the pyramid at an angle, the resulting pentagon will be irregular.

In summary, when a square pyramid is sliced in such a way that the plane passes through all five faces of the pyramid, the resulting cross-section is a pentagon, which can be regular or irregular depending on the angle of intersection.

Learn more about cross-section here: https://brainly.com/question/16881438

#SPJ11

To construct the circumcenter of triangle ABC, we need to find the point that is equidistant to its three vertices A, B, and C. We can do this by constructing the perpendicular bisectors of the sides AB, BC, and AC, and finding their intersection point.

Here are the steps to construct the circumcenter:

Draw triangle ABC.

Construct the perpendicular bisectors of sides AB and BC. To do this, find the midpoint of each side (label them M and N, respectively), and draw a perpendicular line to each side that passes through its midpoint. Label the points where the perpendicular bisectors intersect AB and BC as P and Q, respectively.

Construct the perpendicular bisector of side AC using the same method. Label the point where this bisector intersects AC as R.

Draw lines connecting each vertex of the triangle to the intersection point of the perpendicular bisectors. These lines are the radii of the circumcircle.

The intersection point of the perpendicular bisectors is the circumcenter of triangle ABC. Label this point as O.

Now, we have constructed the circumcenter O of triangle ABC, which is the point that is equidistant to its three vertices A, B, and C.

To know more about perpendicular bisectors,

https://brainly.com/question/24753075

#SPJ11

In order to create a regression model predicting employee salary at a company based on the given predictor variables, we would need to dummy code the job title variable.

The other variables, experience, tenure, and age, can be used as continuous variables without the need for dummy coding. Dummy coding the job title variable would involve creating separate binary variables for each job title category, with a value of 1 indicating that the employee holds that job title and a value of 0 indicating they do not. This would allow us to include job title as a predictor variable in the regression model while accounting for the fact that job titles are not continuous or ordinal variables.

Learn more about  regression model  here:

https://brainly.com/question/14983410

#SPJ11

Considering the three-place Boolean function f defined

(a) f(1, 1, 1) = (7(1) + 2(1) + 4(1)) and f(0, 0, 1) = (7(0) + 2(0) + 4(1))

(b) Using an input/output table f is an odd parity function.

A Boolean function is a mathematical function that takes input values and returns a binary output value. In the given problem, the three-place Boolean function f is defined by the rule (7x1 + 2x2 + 4x3) mod 2, where x1, x2, and x3 are binary inputs.
To find f(1, 1, 1), we substitute x1=1, x2=1, and x3=1 in the given function. Therefore, f(1, 1, 1) = (7(1) + 2(1) + 4(1)) mod 2 = 1.
Similarly, to find f(0, 0, 1), we substitute x1=0, x2=0, and x3=1 in the given function. Therefore, f(0, 0, 1) = (7(0) + 2(0) + 4(1)) mod 2 = 0.
To describe f using an input/output table, we consider all possible input combinations of x1, x2, and x3 and evaluate the function for each combination. The resulting input/output table is as follows:
Input Output
x1 x2 x3 f
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 1
1 0 0 1
1 0 1 1
1 1 0 1
1 1 1 0
From the input/output table, we can see that the function f returns 1 when the sum of 7x1, 2x2, and 4x3 is odd and returns 0 when it is even. Thus, we can conclude that f is an odd parity function.

To learn more about Boolean function, refer:-

https://brainly.com/question/27885599

#SPJ11

Answer:

301.593

Step-by-step explanation:

surface area = circumference x height + 2 x circle area

= 4 x 2 x π x 8 + 2 x π x 4^2

= 25.1327412287 x 8 + 6.28318530718 x 16

= 201.06192983 + 100.530964915

= 301.592894745 ≈ 301.593

Answer:

The probability that you will have to wait more than 5 minutes is the same as the probability that you sit down during the first 10 minutes of the 15-minute interval. This probability is:

10 minutes / 15 minutes = 2/3

Therefore, the answer is 2/3.

Step-by-step explanation:

The area of the shape is 89m²

The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles.

The original shape is a rectangle and a triangle cut out from it.

The area of the shape = area of rectangle - area of triangle

area of rectangle = 13× 8

= 104m²

Area of the triangle = 1/2bh

= 1/2 × 5 × 6

= 5×,3

= 15m²

therefore area of the shape = 104-15 = 89m²

learn more about area of shape from

https://brainly.com/question/25965491

#SPJ1

The  current interest rate on euro deposits is 2%, and the interest rate on dollar deposits is 3% .You should invent in d)Neither one In Europe In the US.

Using the UIP (Uncovered Interest Parity) equation, we can determine whether it is better to invest in Europe or the US. The expected future exchange rate is $1.20/€, while the current spot rate is $1.15/€. The interest rate on euro deposits is 2%, and the interest rate on dollar deposits is 3%.

The UIP equation is given by:

(Expected future exchange rate - Current spot rate) / Current spot rate = (Interest rate in domestic currency - Interest rate in foreign currency)

In this case, the domestic currency is USD and the foreign currency is EUR. Plugging in the values, we get:
($1.20 - $1.15) / $1.15 = (0.03 - 0.02)

Solving for the equation:
0.0435 ≈ 0.01

The difference in interest rates (1%) is approximately equal to the expected appreciation of the euro against the dollar (4.35%). Therefore, according to the UIP equation, there should be no significant difference between investing in Europe or the US, as the potential returns are nearly equal when considering currency movements and interest rates.

In conclusion, based on the UIP equation, you can choose to invest in either Europe or the US, as the expected returns are similar. However, it is important to consider additional factors, such as risk tolerance and investment objectives, before making a final decision. The correct answer is d.

Know more about  interest rates   here:

https://brainly.com/question/29415701

#SPJ11

Answer:

  $10272

Step-by-step explanation:

You want the cost of a rug 32 ft by 60 ft at the rate of $5.35 per square foot.

The area of the rug is ...

  32 ft × 60 ft = 1920 ft²

At $5.35 per square foot, the cost is ...

  (1920 ft²)($5.35/ft²) = $10,272

The cost of the area rug will be about $10,272.

If you make the minimal payment of $80 on the end of the first month, $61.85 will cross towards the principal and $18.15 will go towards interest charges.

To calculate how much of the minimal charge goes closer to the principal, we first need to calculate the amount of interest that accrues at the outstanding balance for the first month.

Interest charged for the month = monthly interest fee x outstanding stability

Now we are able to calculate how a good deal of the minimal fee goes closer to the principal:

Consequently, if you make the minimal payment of $80 on the end of the first month, $61.85 will cross towards the principal and $18.15 will go towards interest charges.

Learn more about Simple Interest:-

https://brainly.com/question/29716197

#SPJ1

Cyclic redundancy checks work by using a generator polynomial to calculate a unique value (CRC) based on the original data. This value is then appended to the data and verified by the receiver to ensure data integrity.

Cyclic Redundancy Checks (CRC) work as an error-detecting method used to ensure data integrity during transmission or storage. The process involves the following steps:

1. A predetermined polynomial (called the generator polynomial) is chosen for the CRC algorithm.

2. Before transmitting data, the sender divides the original data by the generator polynomial, using binary division.

3. The remainder obtained from the division is treated as the CRC value.

4. The sender appends the CRC value to the end of the original data, forming the transmitted message.

5. The receiver, upon receiving the message, performs the same binary division using the same generator polynomial.

6. If the remainder from the receiver's division matches the CRC value sent by the sender, it is assumed that the data is error-free.

7. If the remainder does not match, the receiver knows that an error occurred during transmission and can request the sender to retransmit the data.

In summary, cyclic redundancy checks work by using a generator polynomial to calculate a unique value (CRC) based on the original data. This value is then appended to the data and verified by the receiver to ensure data integrity.

Learn more about Cyclic Redundancy Checks here:

https://brainly.com/question/16860043

#SPJ11

Answer:

Assuming that the loan has monthly payments, the total number of payments in the 30-year loan would be 30 x 12 = 360.

To calculate how much is owed at the end of the five-year fixed period, we need to first determine how much of the principal (the borrowed amount) will be paid off during that time.

Using an amortization calculator, we can determine that with a 4.25% interest rate and monthly payments of $972.38, the principal paid off after five years will be approximately $25,732.37.

At the end of the five-year fixed period, the remaining principal balance will be $197,500 - $25,732.37 = $171,767.63. This will be the amount owed at the end of the fixed period.

Step-by-step explanation:

The total number of cookies baked during the week if a bakery baked 1,244 trays of 26 chocolate chip cookies and also 694 trays of 19 sugar cookies are 336530.

To calculate the total number of cookies we have to find the number of chocolate chip and sugar cookies.

The total number of chocolate cookies is given by the product of the number of cookies in a tray and the number of trays.

Trays of chocolate chip cookies = 1244

Number of chocolate chip cookies per tray = 26

Total number of chocolate chip cookies = 1244 * 26

= 32344

Similarly, the total number of sugar cookies is given by the product of the number of cookies in a tray and the number of trays.

Trays of sugar cookies = 694

Number of sugar cookies per tray = 19

Total number of chocolate chip cookies = 694 * 19

= 13186

Total number of cookies = total number of chocolate chip cookies + sugar cookies

= 32344 + 13186

=336530

Learn more about product:

https://brainly.com/question/24716925

#SPJ4

The prove of identity  (sec t - cos t) / sec t = sin² t is shown.

Given that;

The identity is,

⇒ (sec t - cos t) / sec t = sin² t

Now, We can prove as;

LHS;

⇒ (sec t - cos t) / sec t

⇒ 1 - cos t / sec t

⇒ 1 - cos t cos t

⇒ 1 - cos ² t

⇒ sin² t = RHS

Hence, The prove of identity is shown above.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer:

Step-by-step explanation:

5 +2/10

since 5 is on outside you can just add them

from the picture above, we can see that the focus point of the parabola is at (2 , -4) and its vertex at (2 , -5), so the "p" distance from each other is just 1 unit, since the vertical parabola is opening upwards, that means "p" is positive or just p=1.

[tex]\textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{p~is~negative}{op ens~\cap}\qquad \stackrel{p~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{cases} h=2\\ k=-5\\ p=1 \end{cases}\implies 4(1)(~~y-(-5)~~) = (~~x-2~~)^2 \\\\\\ 4(y+5)=x^2+4x+4\implies 4y+20=x^2+4x+4 \\\\\\ 4y=x^2+4x-16\implies {\Large \begin{array}{llll} y=\cfrac{1}{4}x^2+x-4 \end{array}}[/tex]

Total number of people = (4 classes x 23 students x 3 adults) = 276 people
Number of buses = 5
So, the numbers of people on each bus = 276/5 = 55.2
Since the number of people on each bus must be a whole number, we need to round up to the nearest whole number, which is 56. Therefore, there will be 56 people on each bus.

First, let's find the total numbers of people going on the field trip:

There are 4 classes with 23 students and 3 adults each, so there are 26 people per class (23 students + 3 adults). Since there are 4 classes, we have a total of 4 * 26 = 104 people.

Now, let's divide the total number of people by the number of buses to find out how many people will be on each bus:

104 people / 5 buses = 20.8 people per bus

However, we cannot have a fraction of a person on a bus, so the solution must belong to the set of natural numbers. In this real-world context, having 20.8 people on each bus is not a valid solution, as it is not a natural number.

Therefore, the correct answer is:
C. Because of the real-world context, the solution must belong to the set of all natural numbers. Therefore, the solution is unacceptable.  The statement that must be true about the solution is C. Because the real-world context involves a group of 4th-grade students and their teachers, the solution must be a whole number, since we cannot have a fraction of a person and the solution must belong to the set of all natural numbers, and any solution that is not a natural number would be unacceptable.

Learn more about numbers:

brainly.com/question/17429689

#SPJ11