What is 200 percent of (0.020(5/4) + 3 ((1/5) - (1/4)))

Answer:

a) The student cannot receive an A in the class.

b) The student must score 119 in the third exams to make an A.  This is clearly not possible, since he cannot make 119 in a 100-points exam.

c) The student can make a B but he must score at least 84 in the third exam.

Step-by-step explanation:

To make an A, the student must score 315 (350 x 90%) in both home and the three exams.

The student who scored 35 (7 + 8 + 7 + 5 + 8) in the homework and 161 (81 + 80), getting a total of 196, is short by 119 (315 - 196) scores in making an A.

To make a B, the student must score 280 (350 x 80%) or higher but not reaching 315.

B ≥ 280 and < 315.

Since, the student had scored 196, he needs to score 84 and above to make a B in the last exam.

Answer:

The answer is

Step-by-step explanation:

Let n represent the number of children

Let c represent the number of candies

The above variation is written as

[tex]c = \frac{k}{n} [/tex]

when n = 12 c = 140

So we have

[tex]140 = \frac{k}{12} [/tex]

Cross multiply

That's

k = 1680

So the formula for the variation is

[tex]c = \frac{1680}{n} [/tex]

when n = 8

[tex]c = \frac{1680}{8} [/tex]

c = 210

Therefore there are 210 candies consumed when there are 8 children

Hope this helps you

Answer:

cos∅ = 16√481/481

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

cos∅ = adjacent/hypotenuse

tan∅ = opposite/adjacent

Step 1: Find hypotenuse

15² + 16² = c²

c = √481

Step 2: Find cos∅

cos∅ = 16/√481

cos∅ = 16√481/481

Answer:

0.02

Step-by-step explanation:

If n is 50, 1/n is equivalent to 1/50. 1/50 as a decimal is 0.02.

Answer:

a) Discrete random variable

b) Continous random variable.

Step-by-step explanation:

a) As the number of people can take only integer values, from 0 to n (0, 1, 15, 256, for example, but not 5.6) and not decimals values, we can say that it is a discrete variable.

b) In this case, the weight of a Upper T dash bone steak is a physical variable and can take decimals positive values (0.645 lbs for example).

Then, this variable is a continous variable.

Answer: Volume = [tex]\frac{20\pi }{3}[/tex]

Step-by-step explanation: The washer method is a method to determine volume of a solid formed by revolving a region created by any 2 functions about an axis. The general formula for the method will be

V = [tex]\pi \int\limits^a_b {(R(x))^{2} - (r(x))^{2}} \, dx[/tex]

For this case, the region generated by the conditions proposed above is shown in the attachment.

Because it is revolting around the y-axis, the formula will be:

[tex]V=\pi \int\limits^a_b {(R(y))^{2} - (r(y))^{2}} \, dy[/tex]

Since it is given points, first find the function for points (3,2) and (1,0):

m = [tex]\frac{2-0}{3-1}[/tex] = 1

[tex]y-y_{0} = m(x-x_{0})[/tex]

y - 0 = 1(x-1)

y = x - 1

As it is rotating around y:

x = y + 1

This is R(y).

r(y) = 1, the lower limit of the region.

The volume will be calculated as:

[tex]V = \pi \int\limits^2_0 {[(y+1)^{2} - 1^{2}]} \, dy[/tex]

[tex]V = \pi \int\limits^2_0 {y^{2}+2y+1 - 1} \, dy[/tex]

[tex]V=\pi \int\limits^2_0 {y^{2}+2y} \, dy[/tex]

[tex]V=\pi(\frac{y^{3}}{3}+y^{2} )[/tex]

[tex]V=\pi (\frac{2^{3}}{3}+2^{2} - 0)[/tex]

[tex]V=\frac{20\pi }{3}[/tex]

The volume of the region bounded by the points is [tex]\frac{20\pi }{3}[/tex].

Answer:

Area = 40×20

=800Step-by-step explanation:

Answer:

Graph is attached.

Step-by-step explanation:

We are to graph the following inequalities:

y > 2x + 4 ... (i)

x + y ≤ 6 ... (ii)

We can graph these inequalities on an online graphing calculator but its recommended that you graph them on your physical graph book.

Your graph is attached below. The shaded region is the required part.

The graph of a system of inequalities represents the solution of the inequalities

The solution to the system of inequalities is [tex]\mathbf{y > \frac 23}[/tex] and [tex]\mathbf{x \le \frac{16}3}[/tex]

The system of inequalities is given as:

[tex]\mathbf{y > 2x + 4}[/tex]

[tex]\mathbf{x + y \le 6 }[/tex]

See attachment for the graphs of [tex]\mathbf{y > 2x + 4}[/tex] and [tex]\mathbf{x + y \le 6 }[/tex]

From the graph, we have:

[tex]\mathbf{y > \frac 23}[/tex]

[tex]\mathbf{x \le \frac{16}3}[/tex]

Read more about system of inequalities at:

https://brainly.com/question/19526736

Answer:

B. 0.220

Step-by-step explanation:

The table is presented properly below:

[tex]\left|\begin{array}{c|cccc|c}$toppings&$Freshman&$Sophomore&$Junior&$Senior&$Total\\---&---&---&---&---&---\\$Cheese&11&15&24&28&78\\$Meat&23&28&15&11&77\\$Veggie&15&11&23&28&77\\---&---&---&---&---&---\\$Total&&&&&232\end{array}\right|[/tex]

Number of junior students who prefers veggies =23

Number of senior students who prefers veggies =28

Total =23+28=51

Therefore, the probability that a randomly selected student who is a junior or senior prefers veggie

=51/232

=0.220 (to the nearest thousandth)

The correct option is B.

Answer:

198.5

Step-by-step explanation:

() = 200 - 1.5

() = 198.5

im not sure if this is what you are asking, but i hope it helps

Answer:

S=p(200-1.5)  

Answer:

For the Square

Base length is 6 units

Height is 4 units

Volume is 48 cubic units

Volume of 4 square pyramids is 192 cubic units

(Rectangular)

Base length is 12 units

Base width is 8 units

Height is 6 units

Volume is 192 cubic units

Step-by-step explanation:

Square pyramids is a geometric shape having square base. The appex is perpendicularly at the center of the square. If all the edges are equal it is equilateral square pyramid.

Rectangular pyramids have four sided base and four triangle sides that are coming together to the appex. Each base and appex  form a triange called lateral face. The triangular faces are non rectangular base. Pyramid with n side have n + 1 vertices and 2n edges.

Answer:

(a) remainder is -40

(b) The remaining zeroes are (x+3) and (x-3)

Step-by-step explanation:

p(x) = x^4 - 2x^3 -7x^2 + 18x – 18

(a) Remainder of P(x) / (x+1) can be found using the remainder theorem, namely

let x + 1 = 0 => x = -1

remainder

= P(-1)

= (-1)^4 - 2(-1)^3 -7(-1)^2 + 18(-1) – 18

= 1 +2 -7-18-18

= -40

remainder is -40

(b)

If one zero is 1-i, then the conjugate 1+i is another zero.

in other words,

(x-1+i) and (x-1-i) are both factors.

whose product = (x^2-2x+2)

Divide p(x) by (x^2-2x+2) gives

p(x) by (x^2-2x+2)

= (x^4 - 2x^3 -7x^2 + 18x – 18) / (x^2-2x+2)

= x^2 -9

= (x+3) * (x-3)

The remaining zeroes are (x+3) and (x-3)

Answer:

45

Step-by-step explanation:

This can be written as 5r:9g. Add 5 and 9 to get the total of 14. You can write a ratio of 9 green: (out of) 14 total = x green: (out of) 70 total. Multiply 9 and 14 by 7 to get 45:70. Therefore, if there are 70 hairbands, 45 are green.

Answer:

D

Step-by-step explanation:

Answer:

The 95% confidence interval for the true proportion of the households that spend more than $125 a week on groceries is (0.6151, 0.7615).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

[tex]n = 154, \pi = \frac{106}{154} = 0.6883[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6883 - 1.96\sqrt{\frac{0.6883*0.3117}{154}} = 0.6151[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6883 + 1.96\sqrt{\frac{0.6883*0.3117}{154}} = 0.7615[/tex]

The 95% confidence interval for the true proportion of the households that spend more than $125 a week on groceries is (0.6151, 0.7615).

Answer:

95% confidence intervals about the population mean is

(51.7656 , 60.2344)

Step-by-step explanation:

Step(i):-

Given random sample of size 'n' =17

Given mean of the sample 'x⁻' = 56

Given standard deviation of sample 's' = 10

95% confidence intervals about the population mean is determined by

[tex](x^{-} - t_{0.05} \frac{s}{\sqrt{n} } ,x^{-} + t_{0.05} \frac{s}{\sqrt{n} } )[/tex]

Degrees of freedom

ν = n-1 = 17-1 =16

t₀.₀₅ = 1.7459  (from t-table)

Step(ii):-

95% confidence intervals about the population mean is determined by

[tex](x^{-} - t_{0.05} \frac{s}{\sqrt{n} } ,x^{-} + t_{0.05} \frac{s}{\sqrt{n} } )[/tex]

[tex](56 - 1.7459 \frac{10}{\sqrt{17} } ,56 + 1.7459 \frac{10}{\sqrt{17} } )[/tex]

( 56 - 4.2344 , 56 + 4.2344)

(51.7656 , 60.2344)

Conclusion:-

95% confidence intervals about the population mean is

(51.7656 , 60.2344)

Answer:

(f - g)(x) = -x - 14

Step-by-step explanation:

Step 1: Plug in equations

4x - 8 - (5x + 6)

Step 2; Distribute negative

4x - 8 - 5x - 6

Step 3: Combine like terms

-x - 14

Answer:

-x-14

Step-by-step explanation:

Hope this helps

Answer:

True

Step-by-step explanation:

Coefficient of realism called alpha which is a decimal number between 0 and 1. This number provides the optimistic view. The number 1 - [tex]\alpha[/tex] is amount of emphasis that is placed in pessimistic outcome. If the coefficient of realism alpha is 1 then criterion of realism will yield same result as maxi max criterion.

Answer: 50 miles

Step-by-step explanation:

75 miles in one and half hours.

That's 25 miles per half hour

So, in 1 hour, he will drive 50 miles

Answer: -7/12

Step-by-step explanation: an number multiplied by 1 is itself

Answer:

( 2,1) is the center of dilation and 4 is the scale factor

Step-by-step explanation:

A' = k( x-a) +a, k( y-b)+b  where ( a,b) is the center of dilation and k is the scale factor

3,1 becomes 6,1

6,1 = k( 3-a) +a, k( 1-b)+b

6 = 3k -ka+a

1 = k -kb +b

4,1 becomes 10,1

10,1 = k( 4-a) +a, k( 1-b)+b

10 = 4k -ka+a

1 = k -kb +b

Using these two equations

6 = 3k -ka+a

10 = 4k -ka+a

Subtracting the top from the bottom

10 = 4k -ka+a

-6 = -3k +ka-a

------------------------

4 = k

Now solving for a

6 = 3k -ka+a

6 = 3(4) -4a+a

6 =12 -3a

Subtract 12

6-12 = -3a

-6 = -3a

Divide by -3

-6/-3 = -3a/-3

2 =a

Now finding b

1 = k -kb +b

1 = 4 - 4b+b

1 =4 -3b

Subtract 4

-3 = -3b

Divide by -3

1 = b

Answer:

Dilation factor: 4.  

Center of dilation: (2, 1).  

Step-by-step explanation:

The distance between the old vertices was 4 - 3 = 1. The distance between the new vertices is 10 - 6 = 4. 4 / 1 = 4. That means that the dilation factor is 4.  

Now that we have a dilation factor, we can use the formulas x1 = d(x-a) +a and y1 = d( y-b)+b to solve for the center of dilation.  

In this case, d = 4, x1 = 10, x = 4, y1 = 1, and y = 1.  

10 = 4(4 – a) + a

10 = 16 – 4a + a

10 = 16 – 3a

-3a + 16 = 10

-3a = -6

a = 2

1 = 4(1 – b) + b

1 = 4 – 4b + b

1 = 4 – 3b

-3b + 4 = 1

-3b = -3

b = 1

And so, your center of dilation will be (2, 1).  

Hope this helps!  

Answer:

173.20 ft

Step-by-step explanation:

[tex] \tan \: 30 \degree = \frac{length \: of \: tunnel}{depth \: of \: tunnel} \\ \\ \frac{1}{ \sqrt{3} } = \frac{length \: of \: tunnel}{300} \\ \\ length \: of \: tunnel \\ \\ = \frac{300}{ \sqrt{3} } \\ \\ = \frac{300 \sqrt{3} }{3} \\ \\ = 100 \sqrt{3} \\ \\ = 100 \times 1.7320 \\ \\ = 173.20 \: ft[/tex]

Answer:Ratio

Step-by-step explanation:

The ratio data because length has a true zero, and ratios of lengths are meaningful.

Answer:

Option D

Step-by-step explanation:

It forms a linear pair (Angles on a straight line) with one of the interior angles of the triangle.

Answer:

D

Step-by-step explanation:

A linear pair of angles is when two angles add up to 180 degrees on a line.

Interior angles and exterior angles form a linear pair.

Answer:

given,

AB= 17

AC= 8

angle BCA =90°

as it is a Right angled triangle ,

taking reference angle BAC

we get,h=AB=17

b=AC=8

p=BC=?

now by the Pythagoras theorem we get,

p=

[tex] \sqrt{h { }^{2} - b {}^{2} } [/tex]

so,p=

[tex] \sqrt{17 {}^{2} - 8 {}^{2} } [/tex]

[tex] = \sqrt{225} [/tex]

=15 is the answer....

hope its wht u r searching for....

Answer:

Lateral area of the pyramid = 120 square units

Step-by-step explanation:

In the figure attached,

A pyramid has been given with square base with edges of 12 units and perpendicular height as 8 units.

Lateral area of a pyramid = Area of the lateral sides

Area of one lateral side = [tex]\frac{1}{2}(\text{Base})(\text{Lateral height})[/tex]

                                       = [tex]\frac{1}{2}(\frac{b}{2})(\sqrt{(\frac{b}{2})^2+h^2})[/tex]  [Since l = [tex]\sqrt{r^{2}+h^{2}}[/tex]]

                                       = [tex]\frac{1}{2}(6)(\sqrt{6^2+8^2})[/tex]

                                       = [tex]3\sqrt{100}[/tex]

                                       = 30 units²

Now lateral area of the pyramid = 4 × 30 = 120 square units

Answer: 240 units^2

Step-by-step explanation:

LA= 1/2 Pl

P= perimeter of base

l= lateral height

l= 8^2 + (12/2)^2 = 10^2

P= 12 x 4 = 48

48 x 10 = 480

480/2 = 240

240 units^2

Answer:

[tex] A.\angle 1\: \\\\D. \angle 3[/tex]

Step-by-step explanation:

[tex] \angle 1\: \&\: \angle 3[/tex] are remote interior angles of [tex] \angle 6[/tex]

Answer:

[tex] z =\frac{26-25}{\frac{3}{\sqrt{50}}}= 2.357[/tex]

And we can find the probability using the normal distribution table and we got:

[tex] P(z<2.357) =0.9908[/tex]

Step-by-step explanation:

Let X the random variable of interest and we can find the parameters:

[tex] \mu =25, \sigma= 3[/tex]

And for this case we select a sample size n =50. And since the sample size is higher than 30 we can use the central limit theorem and the distribution for the sample mean would be given by:

[tex] \bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})[/tex]

We want to find the following probability:

[tex] P(\bar X <26)[/tex]

And we can use the z score formula given by:

[tex] z =\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

And replacing we got:

[tex] z =\frac{26-25}{\frac{3}{\sqrt{50}}}= 2.357[/tex]

And we can find the probability using the normal distribution table and we got:

[tex] P(z<2.357) =0.9908[/tex]

Answer:

31ft

Step-by-step explanation:

6 ft  + 2.5 ft + 12 ft  + 2.5 ft  + 8 ft  = 31ft

I assumed the slash in the space between 2.5ft and 12ft was an error, so I ignored it in the solution to this problem.

Besides that, perimeter is found by adding all sides of the shape or figure together, and the sum of that is the perimeter.

The basic formula for perimeter is:

base + height + base + height.

I do not think you square perimeter as you do area (e.g. 31ft^2).