Help me with writing a check please

Answer:

Probability = 0.01531

Step-by-step explanation:

Prob (Getting 92 out of 100 germinated seeds) follows binomial probability distribution.

N = Number of seeds = 100. r = Number of success (germination) = 92

r = No. Success = Seed germination, Prob (Success) ie P = 85% =  0.85 , Prob (non success ie non germination) ie Q = 1 - 85% = 15% = 0.15

Probability = N c r . (P)^r . (Q)^(n-r)  

= 100c92 (0.85)^92  (0.15)^8

=  186087894300 (0.000000321026708) (0.000000256289062)

= 0.01531 {Approx}

The machine will be able to install 1600 bolts in 2 hours.

A rule of is basically saying "I can to this, with this much. How much can I do with that much?"

In this case, the machine can install 240 bolts in 180 minutes, how many can it install in 2 hours?

Before creating a rule of 3, we're going to have to convert 2 hours to minutes, because the work rate of the machine is given in minutes. Let's go ahead and do that:

2 hours * 60= 120 minutes.

Now, let's create our rule of 3.

18 minutes -------> 240 bolts

120 minutes -----> x

x= (120 * 240 bolts) / 18 minutes

x= 1600 bolts.

The machine will be able to install 1600 bolts in 2 hours.

The same cost of both of the plan of the gym will be in 5 visits. And plan B is better than Plan A as B is cheaper than A.

In mathematics, expression is the combining of variables with the application of operations and prescribed rules. It could take the shape of an equation, some numbers, etc.

We have,

plan A consists of :

Amount for monthly membership fee = $50

Cost per visit = $10

The expression of total fees would be:

50+10x,

where x is the number of times Jim visits the gym.

Plan B consists of :

Amount for monthly one time membership fee = $25

Cost per visit = 15

The expression of total fees would be:

25 + 15x,

where x is the number of times Jim visits the gym.

Here, x denotes the number of visits.

Let us suppose x = 1

Then, fees for plan A would be:

50 + 10 x1 = $60

Fees for plan B would be:

25 + 15 x1 = $40

To find the same cost in x number of visits:

We equate both the expressions.

50+10x = 25 + 15x

15x - 10x = 50 - 25

5x = 25

x = 5

That means, if Jim visits 5 times, the gym, then he would have the similar cost for both of the plans.

Hence, Plan B is better than Plan A as B is cheaper than A. The same cost of both of the gym will be in 5 visits.

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Answer:

Final mixture is 120 gm

x = 10%      then   (120-x) = 25%

.25(120-x)    + .1 (x)    =  .15 (120)       solve for x= 10% amount

                                                                 then  25% amount = 120-x

Step-by-step explanation:

The key features of the given quadratic functions are listed below.

In Mathematics and Geometry, the graph of any quadratic function would always form a parabolic curve because it is a u-shaped. Based on the first quadratic function, we can logically deduce that the graph is an upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero (0) i.e 3 > 0.

For the quadratic function y = 3x² - 5, the key features are as follows;

Axis of symmetry: x = 0.

Vertex: (0, -5).

Domain: [-∞, ∞]

Range: [-5, ∞]

For the quadratic function y = -2x² + 12x - 15, the key features are as follows;

Axis of symmetry: x = 3.

Vertex: (3, 3).

Domain: [-∞, ∞]

Range: [-∞, 3]

For the quadratic function y = -x² + 1, the key features are as follows;

Axis of symmetry: x = 0.

Vertex: (0, 1).

Domain: [-∞, ∞]

Range: [-∞, 1]

For the quadratic function y = 2x² - 16x + 30, the key features are as follows;

Axis of symmetry: x = 4.

Vertex: (4, -2).

Domain: [-∞, ∞]

Range: [-2, ∞]

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Using the Green's Theorem, the one along which the work done by the force is 11π/16.

In the given question we have to find the one along which the work done by the force is the greatest.

The given closed curves in the plane is

\(F(x,y)=\left(\frac{x^{2}y}{4} + \frac{y^3}{3}\right)\hat{i}+x\hat{j}\)

Suppose C be a simple smooth closed curve in the plane. It is also oriented counterclockwise.

Let S be the interior of C.

Let P = \(\frac{x^{2}y}{4} + \frac{y^3}{3}\) and Q = x

So the partial differentiation is

\(\frac{\partial P}{\partial y}=\frac{x^2}{4}+y^2\) and  \(\frac{\partial Q}{\partial x}\) = 1

By the Green's Theorem, work done by F is given as

W= \(\oint \vec{F}d\vec{r}\)

W= \(\iint_{S}\left ( \frac{\partial Q}{\partial x}-\frac{\partial P}{\partial y} \right )dxdy\)

W= \(\iint_{S}\left ( 1-\frac{x^2}{y}-y^2 \right )dxdy\)

Let C = x^2+y^2 = 1 and

x = rcosθ, y = rsinθ

0≤r≤1; 0≤θ≤2π

There;

W = \(\int_{r=0}^{1}\int_{\theta=0}^{2\pi}\left ( 1-\frac{r^2\cos^2\theta}{4}-r^2\sin^2\theta \right )\left|\frac{\partial(x,y)}{\partial{r,\theta}}\right|d\theta dr\)

and \(\frac{\partial (x,y)}{\partial(r, \theta)}=\left|\begin{matrix}\cos\theta &-r\sin\theta \\ \sin\theta & r\cos\theta\end{matrix} \right |\) = r

Thus;

W = \(\int_{r=0}^{1}\int_{\theta=0}^{2\pi}\left ( 1-\frac{r^2\cos^2\theta}{4}-r^2\sin^2\theta \right )rd\theta dr\)

After solving

W = 11π/16

Hence, the one along which the work done by the force is 11π/16.

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The right question is:

Among all simple smooth closed curves in the plane, oriented counterclockwise, find the one along which the work done by the force:

\(F(x,y)=\left(\frac{x^{2}y}{4} + \frac{y^3}{3}\right)\hat{i}+x\hat{j}\)

is the greatest. (Hint: First, use Green’s theorem to obtain an area integral—you will get partial credit if you only manage to complete this step.)

The probability of getting at least 6 heads is3/256 or 0.0117

Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.

Probability is a measure of how likely something is to occur. Calculating probability involves dividing the total number of outcomes by the number of possible ways an event may occur.

Given that,

A fair coin is tossed = 8 time.

We have to find the probability of getting at least 6 heads.

Since, the probability of getting head, when one coin is tossed = 1/2

And the probability of getting tale = 1/2  

The probability of getting head at least  6 times when coin is tossed 8 times can be given as,

The head can come 6 times, then probability = \((1/2)\x^{6} (1/2)\x^{2}\) =  (1/2)⁸

The head can come 7 times, then probability = (1/2)⁷(1/2) = (1/2)⁸

The head can come 8 times, then probability = (1/2)⁸

The probability of getting head at least 6 times

= (1/2)⁸ + (1/2)⁸ +  (1/2)⁸ = 3(1/2)⁸ = 3/256 = 0.0117

The probability of getting at least 6 heads is3/256 or 0.0117

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Answer:

-2,2,6,10,14

Step-by-step explanation:

an = 4n-6

Let n =1

a1 = 4*1-6=4-6 = -2

Let n =2

a2 = 4*2-6=8-6 = 2

Let n =3

a3 = 4*3-6=12-6 = 6

Let n =

a4 = 4*4-6=16-6 = 10

Let n =5

a5 = 4*5-6=20-6 = 14

A member of the senate will serve for (h+4) years.

An expression, in mathematics, is a finite set of combinations and/ or numbers and variables that accurately represents the the context in question. When two or more expressions are connected using the equality sign then an equation is formed.

Here, we are given that in the US government a member of the senate serves for 4 years longer than a member of the House of Representatives.

Also the House of Representatives serves for- h years

Thus, the number of years a member of the Senate will serve will be 4 more than the number h

= h + 4

Thus, a member of the senate serves for (h+4) years.

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Answer:

2.25

Step-by-step explanation:

Answer:

2.25

Step-by-step explanation:

4(8-x)=8

8-x=8/4

8-x=2

-x= 2-8

-x= -6

x=6

-> c

The equivalent inequality to 7 > -3x > -12 is -7/3 < x < 4.

What is inequalities ?

In mathematics, inequalities are statements that describe the relationship between two values or expressions. An inequality uses mathematical symbols to indicate whether one value is greater than, less than, or equal to another value.

solution :

7 > -3x

-3x > -12

For the first inequality, we can start by isolating the variable x by dividing both sides by -3, but we need to flip the inequality sign since we are dividing by a negative number:

7/(-3) < x

-7/3 < x

For the second inequality, we can also divide both sides by -3, but we need to flip the inequality sign again:

-3x/(-3) < -12/(-3)

x > 4

Putting these two inequalities together, we get:

-7/3 < x < 4

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Answer:

second choice

Step-by-step explanation:

edge

The region outside the circle is under the consideration. Then the correct option is B.

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at the (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x – h)² + (y – k)² = r²

The inequality equation of the graph is given below.

(x – 3)² + (y + 4)² > 36

(x – 3)² + (y + 4)² > 6²

From the equation, the radius of the circle will be 6 units and the center of the circle will be (3, –4).

The region outside the circle is under the consideration.

Then the correct option is B.

The graph is given below.

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Answer:

  (c)  MT = CA

Step-by-step explanation:

You want to know the corresponding parts of the congruent triangles ...

  ∆MTW ≅ ∆CAD

Corresponding vertices are listed in the same order in the congruence statement. This means the corresponding vertices are ...

  M ⇔ C

  T ⇔ A

  W ⇔ D

Corresponding line segments will have corresponding vertices at each end.

  MW ⇒ CD — not AD

  TW ⇒ AD — not CD

  MT ⇒ CA . . . . . as listed

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Answer:

\((-\infty,2)\)

Step-by-step explanation:

Since \(-3x+6\nless 0\), then \(x\ngtr 2\), therefore, the domain of the function is \((-\infty,2)\).

Answer:

Left tailed.

Step-by-step explanation:

A claim (alternative hypothesis) is set against the null hypothesis.

The claim (alternative hypothesis) of the  golf analyst is that the standard deviation of the​ 18-hole scores for a golfer is  less than 2.1 strokes

Ha: Sd< 2.1

The null hypothesis will be opposite of the alternate hypothesis

H0: sd ≥ 2.1

A test for which the entire rejection region is located in only one of the two tails - either left or right- is called one tailed test.

In the given example the acceptance region is located in the area greater or equal to 2.1 . The rejection region lies to the left and the acceptance region lies to the right.

As the rejection region lies to the left, it is a left tailed test.

Also if the alternative hypothesis contains equality less than it is left tailed.

The form that most quickly reveals the y intercept is

The y intercept is (0, 21/2)

The y-intercept is the point where a function or a curve intersects the y-axis. In other words, it is the value of the dependent variable (y) when the independent variable (x) is equal to zero.

In the form,  f(x) = 1/2 x² - 5x + 21/2 it is easier to see that eliminating x by plugging in 0 leaves 21/2 which is the y intercept

hence we can easily say that the y intercept is (0, 21/2)

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The truck driver would deliver 105 packages in a 7 hours day

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:

y - 15 = [(60-15)/(4-1)](x - 1)

y = 15x

For a 7 hour day (x = 7):

y = 15(7) = 105

The driver would deliver 105 packages in 7 hours

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Given the dimension of the rectangle:

16 cm by 18 cm

We have the image of the rectangle below:

To find the length of the diagonal AC, use pythagorean theorem since ACD form a right triangle.

Thus, we have:

Input values into the formula:

Therefore, the length of the diagonal is 24.1 cm

ANSWER:

24.1 cm

Based on the value of the car loan, the monthly payment, and the balance, the amount of the next payment going to principal is $367.85.

The amount of the loan going towards interest is $18.81.

The amount of interest paid in the first month of the loan is $100 and the principal was $186.66.

First, find the amount going to interest:

= 0.5% x 3,762.36

= $18.81

Then, find the amount going principal:

= Monthly payment - interest

= 386.66 - 18.81

= $367.85

Interest in the first month:

= 0.5% x 20,000

= $100

Principal repayment was:

= 386.66 - 100

= $286.66

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Answer:

\( 16C5= \frac{16!}{5! (16-5)!}= \frac{16!}{5! 11!}= \frac{16*15*14*13*12*11!}{5! 11!}\)

If we simplify we got:

\( 16C5 = \frac{16*15*14*13*12}{5*4*3*2*1}=4368\)

And the best option would be:

4368

Step-by-step explanation:

For this case we have a total of 16 IT specialists and we want to select 5 IT specialists from the total of 16 so we can use the combination formula given by:

\( nC x= \frac{n!}{x! (n-x)!}\)

And replacing we got:

\( 16C5= \frac{16!}{5! (16-5)!}= \frac{16!}{5! 11!}= \frac{16*15*14*13*12*11!}{5! 11!}\)

If we simplify we got:

\( 16C5 = \frac{16*15*14*13*12}{5*4*3*2*1}=4368\)

And the best option would be:

4368

Answer:

D

Step-by-step explanation:

Answer: 7 units

Step-by-step explanation:

Using the distance formula, the square root of (X2 - X1)^2 + (Y2 - Y1)^2 is equal to the distance between two points.

5-(-2) = 7 9^2 equals 49

-3-(-3) = 0

The square root of 49 plus 0 is 7, so the answer is 7 units.

Answer:

65/100 that is the answer to this question

Answer:

-5.1

Step-by-step explanation:

Since we know the starting temperature was -12.6 and the decrease was 7.5, that gives an equation.

-12.6 - 7.5.

Since we are working in temperature we need to be careful when subtracting.

-12.6 - 7.5 = -5.1

In a calculator, -12.6 - 7.5 would be 20.1 but since we are using temperature the answer is -5.1.

Hope that helps. x

Answer:

4206 is the answer of this question

Answer:

I think it will help you a lot.

Answer:

2.5

Step-by-step explanation:

I took the test :)

Answer:

Step-by-step explanation:

Switch the x and y variables

\(x=3^y\)

Solve for the new y value by taking the natural log of both sides

\(ln|x|=y*ln(3)\)

Divide both sides by the natural log of 3

\(\frac{\ln|x|}{\ln(3)} =y\)