just three exercises!!!!! please i need this asap

Answer:

24

Step-by-step explanation:

small side=12 because 30-60-90 tri.

12*2=24

The correct option C 0.28; for the probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed.

This problem involves a binomial probability distribution.

Now that five thumbtacks have been thrown, we want to determine the likelihood that at least two of them will land pointing up. As it is written;

P(X ≥ 2) = P(2) + P(3) + P(4) + P(5)

Based on the histogram

P(5) = 0.02

P(4) = 0.02

P(3) = 0.05

P(2) = 0.19

So,

P(X ≥ 2) = 0.19 + 0.05 + 0.02 + 0.02

P(X ≥ 2) = 0.28

Thus, the probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed is 0.28.

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A thumbtack that is tossed can land point up or point down. The probability of a tack landing point up is 0.2. A simulation was conducted in which a trial consisted of tossing 5 thumbtacks and recording the number of thumbtacks that land point up. Many trials of the simulation were conducted and the results are shown in the histogram.

Based on the results of the simulation, which of the following is closest to the probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed?

A 0.09

B 0.19

C 0.28

D 0.72

E 0.91

The four types of function are One One Function , Many to One Function , Onto Function and Into Function .

The four types of functions are :

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By using percentage, it can be calculated that

Toby sold the television for $2000

What is percentage?

Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage. For example 7% means [tex]\frac{7}{100}[/tex]

Here 7 can be expressed as a fraction of 100

This is a problem on percentage

Let Toby sold the Television for $x

Percentage commission for Toby = $1.75%

Commission for Toby = $[tex]\frac{1.75}{100} \times x[/tex]

By the problem,

[tex]\frac{1.75}{100} \times x = 35\\x = \frac{35 \times 100}{1.75}[/tex]

x = $2000

Toby sold the television for $2000

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The set of side measurements that could be used to form a triangle is 9, 13, 21.

A triangle is a polygon with three sides and three vertices.

To know if a set of number is a valid measure of the sides of a triangle, it must follow the Triangle Inequality Theorem which states that the sum of any two sides must be greater than the third side, such that a + b > c, a + c > b, and b + c > a.

9, 13, 21 : 9 + 13 > 21 ; 13 + 21 > 9 ; 9 + 21 > 13

8, 9, 18 : 8 + 9 < 18

3, 18, 21 : 3 + 18 = 21

2, 5, 9 : 2 + 5 < 9

Hence, the side measurements 9, 13, 21 is the only set that can be used to form a triangle.

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Answer:

The area of the base of the cylinder (the circle face) is the same as the area of the base of the prism (the triangle face).

Step-by-step explanation:

The volume of a prism is the area of the base of the prism multiplied by its height.

The volume of a cylinder is the area of the base of the cylinder multiplied by its height.

So because the volumes are both equal, and the heights are both equal

Then the area of the bases should also be equal.

The transformation of y = x² can be described as, Right and left one and down one-half, right and left two and down two, and right and left three and down four and one-half are the points plotted from the vertex.

A transformation is a technique for moving or repositioning a shape. Every point in the shape is moved in the same direction and by the same amount. When a shape is rotated, a point is turned into the center. When a shape appears in a mirror line, it is said to be reflecting. When a shape is shifted a predetermined amount from its initial position, this is known as translation.

Given,

The transformation of y = x² can be described as,

A vertical stretch is the name for this change. Transformation of y = x² can be described as. Right and left one and down one-half, right and left two and down two, and right and left three and down four and one-half are the points plotted from the vertex.

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The correct answer is mean.

The characteristic which is being calculated here is the mean or the average of the data set.

(20.73 + 20.76 + 20.68 + 20.75)/4

when we divide it by 4 because there are four data sets

= 82.92 / 4

= 20.73

The complete question is 'Francine makes several measurements of the mass of a metal block and the data set is shown in the table below. The measurement mass of metal blocks(g) are a) 20.73 b) 20.76 c) 20.68 d) 20.75 . After analyzing the given data set, Francine calculates a value of 20.73 g so which of these characteristics has been calculated?'

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By using the principal of mathematical induction, it can be proved that

[tex]a_n = a_{n-1} - 2a_{n-2}+2[/tex] for [tex]a_n = n^2[/tex]

What is Principle of Mathematical Induction?

Suppose a statement P(n) is given. At first P(n) is proved to be true for

n =  1. Then P(n) is assumed to be true for n = m. If it can be proved that P(n) is true for n = m + 1, then by principle of Mathematical Induction, it can be proved that P(n) is true for all natural numbers

Here

[tex]a_n = n^2\\P(n) = 2a_{n-1} - a_{n-2} + 2\\P(0) = 0^2 = 0\\P( 1)= 1^2 = 1\\P(2) = 2a_1-a_0 + 2\\P(2) = 2(1)^2 - 0^2+2 =4[/tex]

Let us assume P(0), P(1),... P(k) is true

[tex]a_{k+1} = 2a_k - a_{k-1} + 2\\a_{k+1} = 2k^2 - (k-1)^2 + 2\\a_{k+1} = 2k^2 - k^2 +2k -1 + 2\\a_{k+1} = k^2+2k + 1\\a_{k+1} = (k+1)^2[/tex]

P(k+1) is true

By Principle of Mathematical Induction,

P(n) is true for all natural numbers

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We accert H1 alternative that is result is population mean greater than 400.

There is a 2.1% chance than mean second Trimester weight gain for all expectant mothers is 14 pounds in 2015.

What is standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

We have given: μ = 14, x bar = 16, n = 40, s = 6,  α = 5%, = 0.05

To test μ0 : μ = 14   Vs  H1: μ > 14

Test statistics = (X bar - μx)√n / sx = (2 x 6.3245) / 6 = 2.1081

So, P value = 0.021

Conclusion: There is a 2.1% chance than mean second Trimester weight gain for all expectant mothers is 14 pounds in 2015.

P value for the hypothesis test

n = 50, x bar = 420, sx = 81, μ = 400,

To test:  H0: μ 400    Vs   H1:  μ > 400

It is right tail test

Test statistics =  (X bar - μx)√n / sx = (420 - 400) √50 / 81 =

z = 1.7459

P value = 0.04093

Declsion: We reject H0 is p value < α

Here α = 0.05

Hence P value < α

Conclusion: We accert H1 alternative that is result is population mean greater than 400.

Hence, we accert H1 alternative that is result is population mean greater than 400.

There is a 2.1% chance than mean second Trimester weight gain for all expectant mothers is 14 pounds in 2015.

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The approach to identify linear functions is whether the change in y will always have the same value for any given change in x.

Possibly the most significant mathematical function is the linear function. One of the simplest functions to comprehend, it frequently appears when you least expect it. We frequently turn more complex functions into linear functions for understanding purposes since it is so convenient to do so. The linear function is incredibly straightforward for one variable. A linear function is one with the formula f(x)=ax, where an is a real number of any value. The parameter an is the slope of the line through the origin that makes up the graph of the function f.

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As it determines how quickly the silicon is removed from the wafer. The etch rate is typically measured in angstroms per minute (A/min), which is the rate at which the silicon is removed from the wafer surface.

The pace at which a substance is eliminated or dissolved by a chemical or physical process is referred to as etch rate. Using this method, exact patterns may be made on the surface of a substrate, such a silicon wafer, is widespread in the semiconductor sector. Etch rate is commonly measured in angstroms per minute (/min) and is governed by the concentration and composition of the etching solution, the processing temperature and pressure, and the material being etched. A greater etch rate denotes a quicker removal of material, whereas a lower etch rate denotes a slower removal.

Etch rate plays a significant role in semiconductor production when determining the accuracy and precision of the finished product.

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The transformation can be categorized by the dimensions of the operand sets, distinguishing between planar transformations and spaces. They can also be classified on their properties.

The  types of transformations are:

Dilation The image is a larger or smaller version of the preimage; "shrinking" or "enlarging."

Reflection The image is a mirrored preimage; "a flip."

Rotation The image is the preimage rotated around a fixed point; "a turn."

Shear All the points along one side of a preimage remain fixed while all other points of the preimage move parallel to that side in proportion to the distance from the given side; "a skew.,"

Translation The image is offset by a constant value from the preimage; "a slide."

Rigid transformation

When creating the image, a rigid transformation does not alter the preimage's size or shape. There are three stiff transformations.

Reflection, rotation, and translation are examples of stiff transformations. These changes have no effect on the size or shape of the resulting image.

Non rigid transformations

The preimage's size, shape, or both can be altered using a non-rigid transformation.

Shear and dilation are two non-rigid transformations. The transformation will alter either the size, the shape, or both of the original images.

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The answer is all real numbers greater than or equal to -3, as domain and range.

What is the domain and range of function?

A function's domain and range are its components. A function's range is its potential output; its domain is the set of all conceivable input values. Domain, Function, and Range. If a function f: A B exists that maps every element in A to an element in B, then A is the domain and B is the co-domain. The image of an element 'a' under a relation R is provided by 'b,' where (a,b) R. The set of photographs makes up the function's range.

The domain of a relation or a function is the set of all possible values for an input in that relation/function.

The range of a relation or function is the set of all possible values that can be the result of a relation or function.

From the graph, nothing can be seen on the left side of x = - 3 and the graph is continuous and going in the direction of infinity on the right side of the x axis.

Hence all real numbers greater than or equal to -3

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Jimmy, a high school student, has a 33 percent body fat percentage. This suggests that -

Men aged 20 to 39 should have 8% to 19% body fat, while women in the same age range should have 21% to 32% body fat, based on the American Journal of Clinical Nutrition as well as WebMD.

Thus, Jimmy, a senior in high school, has a body fat percentage of 33%. This implies that -

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The cost of 4 potted plants and 5 bags of compost is 35 dollars.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be one degree.

Let x be the potted plants and y be the bags of compost.

We are given that the cost of 7 potted plants and 2 bags of compost is £41.

7x + 2y = 41

Now The cost of 3 potted plants and 4 bags of compost is £27.

3x + 4y = 27

Now solving both equation.

First, multiply the first equation by 2 then subtract from the second.

14x + 4y - 3x - 4y = 82 - 27

11x  = 55

x = 5

Therefore, 3x + 4y = 27

3(5) + 4y = 27

4y = 27 - 15

4y = 12

y = 3

Now, Emily wants to buy 4 potted plants and 5 bags of compost.

4x + 5y = 4(5) + 5(3)

= 20 + 15

= 35

The cost of 4 potted plants and 5 bags of compost is 35 dollars.

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The main reason for checking a new mother every 15 minutes for the first hour after giving birth is to help in the early detection of a potential life-threatening complication for the new mother after delivery (postpartum).

At the first 24 hours after birth, all postpartum women should have regular assessment of vaginal bleeding, uterine contraction, fundal height, temperature and heart rate (pulse) regularly during the first 24 hours starting from the first hour after giving birth. In the postpartum period, blood pressure also should be monitored shortly after birth.

The postpartum nursing assessment is a significant aspect of care to identify early signs of complications in the woman who has just given birth. Following pregnancy, women are at risk for infection, hemorrhage, and the development of a Deep Vein Thrombosis (DVT).

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Answer: x-2

and 2x+4

Step-by-step explanation:

The quadratic equation is never smaller than zero, so the inequality has no solutions.

The correct option is never.

Here we have the following inequality:

3x^2 + 4x < - 5

To see when it is true, we need to isolate x.

We can rewrite the inequality as:

3x^2 + 4x + 5 < 0

So the inequality is true when the quadratic equation is smaller than zero.

But notice that it is a quadratic equation with a positive leading coefficient, so it opens upwards.

And the vertex is at:

x = -4/2*3 = -2/3

Evaluating the quadratic there we get:

3*(-2/3)^2 + 4*(-2/3) + 5 = 3.66

So the vertex has a positive y-value, this means that the quadratic equation is never negative, and thus, the inequality has no solutions.

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After 3 days the balance will be $1050.130

What does "compound daily rate" mean?

Daily compounded interest is higher than interest compounded on a monthly or quarterly basis due to the high frequency of compounding, which means interest is accrued daily and calculated by charging interest on principal plus interest earned daily.

How is compounded daily determined?

How Compounding Works

For the purpose of calculating compound interest:

Investment total: Start amount multiplied by interest rate plus one, then daily interest rate

The interest rate will be divided by 365 and the number of years (n) will be multiplied by 365 to determine daily compound interest.

Added Up Monthly: CI = P(1 + (r/12) ) 12t – P

P represents the principal sum.

r is the time and t is the decimal form of the interest rate.

Given that:

t: the amount of time. Assume that the $1,000 in the savings account from the preceding illustration earned daily compound interest at a rate of 6%. This results in an interest rate of 0.0164384% each day: 6% multiplied by 365.

[tex]At = $1,000 * (1 + 0.0164384)^3[/tex]

At = $1,000 × 1.050130

At = $1,050.130

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The E(T) is 4 when A and B, two players, alternately toss a fair coin (A tosses the coin first, then B tosses the coin, then A, then B and so on).

Given that,

A and B, two players, alternately toss a fair coin (A tosses the coin first, then B tosses the coin, then A, then B and so on). The heads and tails are recorded in order. The game is over and the winner is the person who throws the tail if there is a head followed by a tail (HT sub-sequence).

We have to find what is the anticipated game length. Let the game continue for T number of coin tosses. Find E (T).

We know that,

Here,

E(T )=first time sequence HT occurs

E(T) = P(first H)× P(expected number till 1st T |first H)+ P(first T)× P(expected number till 1st HT |first T)

E(T) =0.5×(1+2)+0.5×(1+E(T))

0.5×E(T)=0.5×4

E(T) =4

Therefore, The E(T) is 4 when A and B, two players, alternately toss a fair coin (A tosses the coin first, then B tosses the coin, then A, then B and so on).

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One of people expected to receive a card with a number that matches its age.

What is expected value?

The anticipated value is an extension of the weighted average in probability theory. Informally, the anticipated value is the arithmetic mean of a significant number of outcomes of a random variable that were independently chosen.

Let, a set of 1000 cards numbered 1 through 1000 is randomly distributed among 1000 people with each receiving one card.

[tex]x_i=\left \{ {1, if the i^t^h person card numbermatches his/her age } \atop {0 , Otherwise}} \right.[/tex]

[tex]X_i[/tex] is a new variable.

Expected one of 1,000 people to receive the card which matches its age is,

[tex]E(X_i) = \frac{1}{1000}[/tex]

Expected number of card is,

X= (i=1 to 1000)∑ Xi

E(X) = (i = 1 to 1000) ∑  E(Xi)

       = (i = 1 to 1000) ∑ (1 / 1000)

       = 1000 x (1 / 1000)

       = 1

E(X) = 1

Hence, One of people expected to receive a card with a number that matches its age.

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y-intercept of the function = 4

What in mathematics is a y-intercept?

A point on the y-axis at which the slope of a line passes is referred to as an intercept in mathematics.

It is a place on the y-axis where a straight line or a curve crosses. This is shown by writing the equation for a line as y = mx+c, where m denotes the slope and c the y-intercept.

Here the given function is

f(x) = 4 – 5x

Which can be rewritten as

f(x) = – 5x + 4

Which is of the form f(x) = mx + c

Where m = - 5 , c = 4

Hence y-intercept of the function = 4

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The complete question is -

What is the y-intercept of the function f(x)=4 – 5x?

–5

–4

4

5

The point-slope form of the line is y - 2 = 1/3(x - 3).

What is slope ?

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

The equation of the line into point slope-form is equal to

y - y1 = m(x - x1)

slope(m) = 1/3

(3,2)....x1 = 3 and y1 = 2

now we sub

y - 2 = 1/3(x - 3)

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There are three major forms of linear equations:

Point slope form:

The point-slope form, as its name suggests, identifies a point on a line and its slope. Not frequently is this form provided to assist with line graphing. To get from a verbal or visual representation of a line to its slope-intercept or standard form, however, is where it is more frequently utilized.

Slope intercept form:

A line's slope and y-intercept are communicated using the slope-intercept form. Technically speaking, it is an exception to the point-slope form.

Standard form:

An equation's conventional form is as follows:

Ax+By=C

Where A is not a negative number and B, C, and all three are whole numbers.

Hence we get the required answer.

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The diagram 1 and 3  produces the largest acceleration on the block in the horizontal direction

The diagram below show the application of a force f on a block of mass m

The force is defined as the product of mass and acceleration

The first picture represents the force pulling to right in the horizontal direction here the angle is zero therefore it will produce the largest acceleration on the block in horizontal direction. Because it depends on the angle which F cosθ

Similarly in the third figure the force is pushing on the block to the right. The angle is zero, therefore it will produce largest acceleration in horizontal direction

In other figures the angle is greater than zero therefore the acceleration in the horizontal direction will be small

Hence, the diagram 1 and 3  produces the largest acceleration on the block in the horizontal direction

The complete question is:

The diagrams below show the application of a force f on a block of mass m. which diagram(s) produces the largest acceleration on the block in the horizontal direction?

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Each probability lies between 0 to 1, If a customer purchases 2 stoves, the probability is 0.1379 they will also purchase two refrigerators, the average number of refrigerators purchased is 0.93, and the variance in the number of refrigerators purchased is 0.6051.

A)     0            1            2          stoves

0      0.08       0.14      0.12      0.34

1       0.09       0.17      0.13      0.39

2      0.05       0.18      0.04     0.27

RF    0.22       0.49     0.29     1

B) Each probability lies between 0 to 1

All the probabilities sum up to 1

C) P(2 Ref/ 2 stoves) = P(2 Ref and 2 stoves) / 2 stoves)

= 0.04/0.29 = 4/29 = 0.1379

D) Average number of Ref purchased E(x) = ∑xi pi

X        0          1         2

Prob.  0.34    0.39   0.27

= 0.39 + 0.54

= 0.93

E) Var(x) = ∈(x)² - (∈{x})²

= (0.39 + 1.08) - (0.93 * 0.93)

= 1.47 - 0.8649

= 0.6051

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Maintenance primarily involves modifying programs to meet new business needs, but also debugging of errors that were not detected when testing the developed code.

Preventive maintenance schedules can be regular or periodic (time-based). When an issue is discovered, corrective maintenance is performed. Maintenance is predetermined and follows a factory schedule. Condition-based maintenance occurs when a situation or condition indicates the need for maintenance.

What is modifying a program?

A program modification is defined as a programmatic change that does not clearly qualify as a new program or a nonsubstantive change, such as a new program composed primarily of course work from a previously approved program; an approved program to be offered at an off-campus location; a change in the.

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Full Question:_____ primarily involves modifying programs to meet new business needs, but also debugging of errors that were not detected when testing the developed code.

Answer:

There are 6 integers between sqrt7 and sqrt77.

Step-by-step explanation:

Sqrt9, sqrt16, sqrt25, sqrt36, sqrt49, sqrt64 are all between sqrt7 and sqrt77. Since these are all perfect squares, they simplify to integers.

sqrt9 = 3

sqrt16 = 4

sqrt25 = 5

sqrt36 = 6

sqrt49 = 7

sqrt 64 = 8

There are 6 integers between sqrt7 and sqrt77.

If we standardize both variables what would the regression equation the mortgage amount will be 220.88 and the interest amount will be 7.768.

[tex]b_1[/tex] = r*[tex]S_{xy}/S_{xx}[/tex]

= -0.84

[tex]b_0 = y - b_1x[/tex]

Regression model is used to identify the relation between two variables.In the relation between two variables.

From the given question the regression model fits best to identify the mortgage amount from interest rates.

The interest rate and mortgage both are quantitative values so the regression model is most suitable for this given condition.

Therefore If we standardize both variables what would the regression equation the mortgage amount will be 220.88 and the interest amount will be 7.768.

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