Solve 29 < m^2+ 9/2
< 45

Answer:

Answer:

there is only one way to to roll a 3

1/36 = .044 = 4.4%

Step-by-step explanation:

Answer:

vertical angles

Step-by-step explanation:

Using the Mean and median formulae ,

The difference between the mean and median score of the students' scores on this quiz is 3.

Mean : The mean is the number which we get by dividing the sum of a set of values by the number of values in the set.

Median: the median is the middle number in a set of values when those values are arranged in either ascending or descending order.

let us consider there are a total 100 students.

and X denotes the marks obtained by students.

We have given that,

10% of student scored 70 points i.e.,

P(X=70) = 10% of 100 = 10

35% of students scored 80 points i.e., number of students whose obtained 80 points

= 35% of 100 = 35

30% of students scored 90 points , number of students whose obtained 90 points

= 30% of 100 = 30

remained ( 25%) of students scored 100 points

= 100 - 10 - 35 - 30 = 25

total marks obtained by students

= 80+70+90+100

= 340

Mean of score of students'scores on the quiz

= (70×10+ 80×35 + 90×30 + 100×25)/100 = 87

when we arranged the in ascending students in order , the 50th and 51th student lies in middle and marks obtained by both (50th and 51th) is 90 points .

So, Median score of the students' scores on this quiz = 90

Now, we shall calculate the difference between mean and median of score of the students' scores on this quiz which is equal to( 90 -87)

= 3

Hence, difference between the mean and median score of the students' scores on this quiz = 3

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The shaded area should be adjusted to reflect the new producer surplus for Micronesian firms, which will be larger than it was before trade due to higher price they can receive by exporting their timber to world market.

The measure of the size of a two-dimensional surface or shape is area. It is typically measured in square units, such as square meters or square feet, and represents the amount of space that is enclosed by the shape or surface.

To shift the world price line in a way that results in Micronesia exporting timber, we need to assume that the world price of timber is higher than the domestic price in Micronesia before trade. This would create an incentive for Micronesian firms to sell their timber on the world market, where they can receive a higher price.

Shift the world price line upward to a point where it intersects with Micronesia's supply curve.

This will create a new equilibrium point where the quantity of timber supplied by Micronesia equals the quantity demanded by the world market.

To adjust the shaded area to correctly represent producer surplus for Micronesia's firms once the country is open to international trade, we need to consider the changes in producer surplus resulting from the new equilibrium price.

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The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. We're supposed to write an equation for a line that is perpendicular to the line y= -(4)/(5)x+6.

The slope of the given line is -(4)/(5).What is the slope of a line that is perpendicular to this line? We can determine the slope of a line perpendicular to this one by taking the negative reciprocal of the slope of this line. That is: slope of the perpendicular line = -1 / (slope of the given line) = -1 / (-(4)/(5)) = 5/4.So the slope of the perpendicular line is 5/4. The line passes through the point (-3,7).

We'll use this information to construct the equation.Using the point-slope form, the equation is:

y - y1 = m(x - x1)Where y1 = 7, x1 = -3 and m = 5/4. So we have:y - 7 = (5/4)(x + 3)

Now let's solve for y: y = (5/4)x + (15/4) + 7

We combine 15/4 and 28/4 to get 43/4: y = (5/4)x + 43/4

The equation of the line that passes through the point (-3,7) and is perpendicular to

y = -(4)/(5)x + 6 is:y = (5/4)x + 43/4.

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Answer:

Answer:

60 sweatshirt

Or

45 jackets

Step-by-step explanation:

Total amount = $1,440

Sweatshirts = $24

Jackets = $32

What is the greatest number of sweat- shirts or jackets the team can purchase?

The greatest number of sweat- shirts the team can purchase = Total amount / cost of sweatshirt

= $1,440 / $24

= 60

The greatest number of jackets the team can purchase =Total amount / cost of jackets

= $1,440 / $32

= 45

Therefore, the greatest number of sweat- shirts or jackets the team can purchase is

60 sweatshirt

Or

45 jackets

Step-by-step explanation:

Hey there!

To solve this problem, we will take a look at the FOIL Method.

FOIL is a simple acronym that can be used to multiply binomials. It stands for:

F - Front

O - Outer

I - Inner

L - Last

See the image below for an example of how to use this in the given situation.

Front: Multiply the two terms out in the front.

\((-5a)(-4a) = 20a^2\)

Outer: Multiply the two terms on the outsides.

\((-5a)(3)=-15a\)

Inner: Multiply the two terms on the insides.

\((6)(-4a)=-24a\)

Last: Multiply the two terms in the back.

\((6)(3)=18\)

Now, we add all of our answers from above:

\(20a^2-15a-24a+18\)

Simplify by combining like terms:

\(20a^2-39a+18\)

There's our answer!

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Answer:

C

Step-by-step explanation:

The required graph has been attached below which shows the boat's value decreasing at a rate of 40% per year.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

A boat's value over time is given as the function f(x) and graphed below.  A(x) = 400(b)ˣ + 0 as the parent function.

Given that the boat's value decreases at a rate of 40% per year.

So after each year, the value becomes = 1 - 40% = 1 - 0.40 = 0.60 of the previous year.

So the equation becomes: A(x) = 400(0.60)ˣ + 0

Since, b = 0.60 < 1, so A(x) is a decreasing function. And for every value of x, A(x) > 0.

The attached graph meets these requirements.

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The balance when the account went into overdraft was -48.61

An overdraft occurs when something is withdrawn in excess of what is in a current account. For financial systems, this can be funds in a bank account.

Let x be the balance when the account went into overdraft

To get back to a positive balance he deposited money at a steady rate of $31.97 per week.

Amount deposited per week = $31.97

Amount deposited 3 weeks = $95.91

Now amount in account after 3 weeks =x+95.91

We are given that After 3 weeks, he had $95.91 in the account.

So, x+95.91=47.3

x= 47.3-95.91

x= -48.61

Hence The balance when the account went into overdraft was -48.61

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If adam wanted to construct a one-sample t-statistic, the value for the degrees of freedom would be 7.

Given the following data:

Average speed : 60.5, 63.2, 54.7, 51.6, 72.3, 70.7, 67.2, and 65.4

To construct a one-sample t - statistic, the value of the degree of freedom will be ;

In a one sample test of known mean, if the number of observations are 4, one can choose to vary at most three of the observations and still obtain the mean, that is the 4th observation must remain fixed.

Degree of freedom = Number of observations (n) - 1. This is the maximum number of independent variables which can be varied.

Nunber of observations or sample size in the data above is 8

Hence,

Degree of freedom = (8 - 1) = 7

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Paragraph:

Functions are a special kind of relation. At first glance, a function looks like a relation. A function is a set of ordered pairs such as { (0, 1), (5, 22), (11, 9)}. Like a relation, a function has a domain and range made up of the x and y values of ordered pairs.

Answer:

18

3+x (x=15)

so

3+15 =

18

Step-by-step explanation:

Answer: 18

Step-by-step explanation:

The option "It has two parameters, number of trials and success rate" is NOT explaining about the normal distribution.

The statement refers to the parameters of a different probability distribution called the binomial distribution, which describes the number of successes in a fixed number of independent Bernoulli trials. The normal distribution, on the other hand, is not specifically defined by the number of trials and success rate, but rather by its mean and standard deviation.

A normal distribution, also known as a Gaussian distribution or bell curve, is a probability distribution that is symmetric and bell-shaped. In a normal distribution, the data cluster around the mean, with the highest frequency occurring at the mean, and taper off symmetrically in both directions.

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The solution to the system of equations for y is y = 2. So, the correct answer is (a) 2.

To solve the system of equations for y, we can use the method of substitution or elimination. Let's use the method of elimination:

We have the following system of equations:

2x - 15y = -10

-4x + 5y = -30

To eliminate the x term, we can multiply equation 1 by 2 and equation 2 by 4, so the coefficients of x will cancel out when we add the equations:

4(2x - 15y) = 4(-10) => 8x - 60y = -40

2(-4x + 5y) = 2(-30) => -8x + 10y = -60

Now we can add equations 3 and 4:

(8x - 60y) + (-8x + 10y) = -40 + (-60)

-60y + 10y = -100

-50y = -100

Dividing both sides by -50:

y = (-100)/(-50)

y = 2

Therefore, the solution to the system of equations for y is y = 2.

So, the correct answer is (a) 2.

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J in 55min

J in 45min ( bigger hose)

Alternative method

The trick is to convert the numbers you are given to numbers that you can add together.

You have minutes per pool. You can’t work with that. But if you take the reciprocal of each you get pools per minute.

So if the first hose fills 1/55 = 0.01818 pools per minute and the second one fills 1/45 = 0.0222 pools per minute, then both of them will fill 0.1818 + 0.0222 = 0.04040 pools per minute. If we take the reciprocal of that we end up with 1/0.04040 = 24.75 minutes per pool.

The probability that the first sample following the mean shift produces a statistics that plots inside the control limits: β ^{m-1}( 1-β )

What is Probability?

The area of mathematics known as probability deals with numerical representations 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, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Pr(shift found on mth sample) = Pr (not detected for (m-1) samples) x Pr (detected on mth)

= [ 1-(1-β) ]^{m-1} ( 1-β )

=β ^{m-1}( 1-β )

the anticipated number of subgroups to be examined before the shift is seen

ARL=1/{1-β}

Shift not detected on the first sample following the shift:

Pr = 1-(1-β) = β

Pr n successive samples that are outside of the control limits

= ( 1- β )^{n}

f) the likelihood that at least one out of n consecutive statistical plots will fall outside the control limit.

=[1- ( 1- β )]^{n}

=β^{n}

Hence, The probability that the first sample following the mean shift produces a statistics that plots inside the control limits is β ^{m-1}( 1-β )

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answer: 1

step-by-step explanation:  n + 8 = 9

therefore 9-8 = 1

The solution to the equation n+ 8 = 9 is 1 from the set {0,1,17,72} n = 1 satisfy the provided equation.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a linear function in terms of n:

n + 8 = 9

Subtract 8 both side:

n + 8 – 8 = 9 – 8

n = 1

From the set, we can see the element 1 is the solution to the given equation.

Thus, the solution to the equation n+ 8 = 9 is 1 from the set {0,1,17,72} n = 1 satisfy the provided equation.

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The statements given are mostly true, except for the statements that V_4 is parallel to V_3 and that V_3 is greater than V_1.

The magnitude of a vector can be different in different coordinate systems. True

It is possible to add a scalar to a vector. True

A 2D vector can have a magnitude equal to zero even when one of its components it nonzero. True

The direction of a vector can be different in different coordinate systems. True

A 2D vector can have a component equal to zero even when its magnitude is nonzero. True

The components of a vector can be different in different coordinate systems. True

It is possible to multiply a vector by a scalar. True

If V_3 = V_1 + V_2, then V_4 = 3V_1 + 3V_2 is parallel to V_3. False

If V_3 = V_1 + V_2, then V_3 - V_2 is parallel to V_1. True

If V_3 = V_1 + V_2, then V_3 = V_1 + V_2. True

If V_3 = V_1 + V_2, then V_3 > V_1. False

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Answer:

the answer is A

Step-by-step explanation:

The inequality that represents the legal driving speeds, s, in kilometers per hour is 45 >= s <= 70.

It should be noted that an inequality is simply used in mathematics to show that the expression or equation aren't equal.

From the information, the highway has a minimum speed limit of 45 miles per hour and a maximum speed limit of 70 miles per hour.

Therefore, the inequality that represents the legal driving speeds is 45 >= s <= 70.

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Answer:

38 degrees

Step-by-step explanation:

angle DFE and angle F are supplementary angles which means they complete each other to 180 degrees

so the measure of DFE is

180 - 142 = 38 degrees

The tangent vector  → \(r(t)=〈4cos(2t),4sin(2t),5t〉\), normal vector at t=0 is given by →N(0) = 〈-1,0,0〉, and binormal vector at t=0 is given by →\(B(0) = 〈0, -0.441, -0.898〉\)

The tangent vector, normal vector, and binormal vector of the given curve are as follows:

Given curve:

→ \(r(t)=〈4cos(2t),4sin(2t),5t〉\) at the point t=0

To find: Tangent vector, the Normal vector, and the Binormal vector (→T, →N and →B) at the point t=0

Tangent vector: To find the tangent vector of the given curve

→\(r(t)=〈4cos(2t),4sin(2t),5t〉\) at the point t=0,

we need to differentiate the equation of the curve with respect to t.t = 0, we have:

→\(r(t) = 〈4cos(2t),4sin(2t),5t〉→r(0) = 〈4cos(0),4sin(0),5(0)〉= 〈4,0,0〉\)

Differentiating w.r.t t:→\(r(t) = 〈4cos(2t),4sin(2t),5t〉 → r'(t) = 〈-8sin(2t),8cos(2t),5〉t = 0\),

we have:

→\(r'(0) = 〈-8sin(0),8cos(0),5〉= 〈0,8,5〉\)

Therefore, the tangent vector at t = 0 is given by

→\(T(0) = r'(0) / |r'(0)|= 〈0,8,5〉 / sqrt(89)≈〈0.000,0.898,0.441〉\)

Normal vector:To find the normal vector of the given curve

→\(r(t)=〈4cos(2t),4sin(2t),5t〉\)

at the point t=0, we need to differentiate the equation of the tangent vector with respect to t.t = 0, we have:

→\(T(0) = 〈0.000,0.898,0.441〉\)

Differentiating w.r.t t:

→\(T'(t) = 〈-16cos(2t),-16sin(2t),0〉t = 0\),

we have:

→\(T'(0) = 〈-16cos(0),-16sin(0),0〉= 〈-16,0,0〉\)

Therefore, the normal vector at t = 0 is given by

→\(N(0) = T'(0) / |T'(0)|= 〈-16,0,0〉 / 16= 〈-1,0,0〉\)

Binormal vector: To find the binormal vector of the given curve

→\(r(t)=〈4cos(2t),4sin(2t),5t〉\)

at the point t=0, we need to cross-product the equation of the tangent vector and normal vector of the curve.t = 0, we have:

→\(T(0) = 〈0.000,0.898,0.441〉→N(0) = 〈-1,0,0〉\)

The cross product of two vectors:

→\(B(0) = →T(0) × →N(0)= 〈0.000,0.898,0.441〉 × 〈-1,0,0〉= 〈0, -0.441, -0.898〉\)

Therefore, the binormal vector at t = 0 is given by→B(0) = 〈0, -0.441, -0.898〉

Hence, the tangent vector, normal vector, and binormal vector of the given curve at t=0 are as follows:

→\(T(0) = 〈0.000,0.898,0.441〉→N(0) = 〈-1,0,0〉→B(0) = 〈0, -0.441, -0.898〉\)

The given curve is

→\(r(t)=〈4cos(2t),4sin(2t),5t〉 at the point t=0.\)

We are asked to find the tangent vector, the normal vector, and the binormal vector of the given curve at t=0.

the tangent vector at t=0. To find the tangent vector, we need to differentiate the equation of the curve with respect to t. Then, we can substitute t=0 to find the tangent vector at that point. the equation of the curve Is:

→\(r(t) = 〈4cos(2t),4sin(2t),5t〉\)

At t = 0, we have:

→\(r(0) = 〈4cos(0),4sin(0),5(0)〉= 〈4,0,0〉\)

We can differentiate this equation with respect to t to get the tangent vector as:

→\(r'(t) = 〈-8sin(2t),8cos(2t),5〉\)

At t=0, the tangent vector is:

→\(T(0) = r'(0) / |r'(0)|= 〈0,8,5〉 / sqrt(89)≈〈0.000,0.898,0.441〉\)

Next, we find the normal vector. To find the normal vector, we need to differentiate the equation of the tangent vector with respect to t. Then, we can substitute t=0 to find the normal vector at that point.

At t=0, the tangent vector is:

→\(T(0) = 〈0.000,0.898,0.441〉\)

Differentiating this equation with respect to t, we get the normal vector as:

→\(T'(t) = 〈-16cos(2t),-16sin(2t),0〉\)

At t=0, the normal vector is:

→\(N(0) = T'(0) / |T'(0)|= 〈-16,0,0〉 / 16= 〈-1,0,0〉\)

Finally, we find the binormal vector. To find the binormal vector, we need to cross-product the equation of the tangent vector and the normal vector of the curve.

At t=0, we can cross product →T(0) and →N(0) to find the binormal vector.

At t=0, the tangent vector is:

→\(T(0) = 〈0.000,0.898,0.441〉\)

The normal vector is:

→N(0) = 〈-1,0,0〉Cross product of two vectors →T(0) and →N(0) is given as:

→\(B(0) = →T(0) × →N(0)= 〈0.000,0.898,0.441〉 × 〈-1,0,0〉= 〈0, -0.441, -0.898〉\)

Therefore, the tangent vector, normal vector, and binormal vector of the given curve at t=0 are:

→\(T(0) = 〈0.000,0.898,0.441〉→N(0) = 〈-1,0,0〉→B(0) = 〈0, -0.441, -0.898〉\)

The tangent vector of the given curve

→\(r(t)=〈4cos(2t),4sin(2t),5t〉\)

at the point t=0 is given by →\(T(0) = 〈0.000,0.898,0.441〉.\)

The normal vector at t=0 is given by →N(0) = 〈-1,0,0〉.

The binormal vector at t=0 is given by →B(0) = 〈0, -0.441, -0.898〉.

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Answer:

(x−1)(x+5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

x^2 + 4x - 5

(x + 5)(x - 1)

Answer:

247.5kg

Step-by-step explanation:

u find 12.5% of 220, then add it

220*12.5% =27.5

220+27.5=247.5

Answer:

-6 is the x-coordinate value

Step-by-step explanation:

Mathematically, slope can be calculated as;

m = (y2-y1)/(x2-x1)

For the value of the slope to be undefined, it means that we are actually dividing by zero

For us to be dividing by zero, it actually means that there is no change in the x-value

The unchanging x-value is what has caused us to have an undefined slope value

Since line k and line g are parallel, their slopes are equal and the slope of k is undefined too

So the x-coordinates of the other points that lie on the line that we used in calculating the slope is -6

The Answer is x2=4, x1=0, and x3=0; S1=1, S2=0. Therefore, S2=0 is basic and S1=1 is nonbasic. x1=0 is basic and X1=6, X2=4, and X3=0 are nonbasic.

The basic feasible solution from the given tableau X1 X2 Хз S1 S2 Z 0 0160 6 -1 1 1 0 148 2 4 0 -6 -10 -5 0 0 1143 is:x2=4, x1=0, and x3=0; S1=1, S2=0. Therefore, S2=0 is basic and S1=1 is nonbasic. x1=0 is basic and X1=6, X2=4, and X3=0 are nonbasic. The basic feasible solution is achieved when all the constraints in a linear programming problem are met. The constraints can be in the form of equations or inequalities. The linear programming problem provides the optimal values for a given objective function. The optimal values are determined by the constraints that are involved in the problem. In the given problem, X2 and S1 are basic, and X1, Xx3, and S2 are nonbasic. Indicate which variables are basic and which are nonbasic.The variables that are basic and nonbasic can be calculated from the tableau. The basic variables are those that have the coefficients of 1 in the final column. The nonbasic variables are those that have the coefficients of 0 in the final column. Therefore, x2=4, x1=0, and x3=0; S1=1, S2=0. Therefore, S2=0 is basic and S1=1 is nonbasic. x1=0 is basic and X1=6, X2=4, and X3=0 are nonbasic.

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a) i think is 51

b) i did 51 slices / 25 people it gave me 2.04 so 2 slices.

if i'm correct, i'm not entirely sure