How do I solve this problem?

Answer: 36 children

Step-by-step explanation:

3/4 of the class plays basketball.  Thus 3/4x=27.  Multiply each side by 4/3 to get x = 36

Answer:

Circumference: 12π + 8 cm,

Area: 48 ( cm )^2

Step-by-step explanation:

This figure is composed of circles, squares, and semicircles. As you can see, the squares indicate that each semicircle should have ( 1 ) the same area, and ( 2 ) the same length ( circumference ). It would be easier to take the circumference of the figure first, as it is composed of arcs part of semicircles the same length.

Circumference of 1 semicircle = [tex]\frac{1}{2}[/tex]( πd ) =  [tex]\frac{1}{2}[/tex]π( 4 ) = 2π ( cm )

Circumference of Figure (composed of 6 semicircles + 2 sides of a square),

We know that 6 semicircles should be 6 [tex]*[/tex] 2π, and as the sides of a square are equal - if one side is 4 cm, the other 3 are 4 cm as well. Therefore the " 2 sides of a square " should be 2

Circumference of Figure = 6 [tex]*[/tex] 2π + 2 = 12π + 8 ( cm )

_____________

The area of this figure is our next target. As you can see, it is composed of 3 semicircles, and the area of 3 semicircles subtracted from the area of 3 squares. Therefore, let us calculate the area of 1 semicircle, and the area of 1 square first.

Area of 1 semicircle = 1/2π[tex]r^2[/tex] = 1/2π[tex](2)^2[/tex] = 2π ( cm ),

Area of 1 square = ( 4 cm )( 4 cm ) = 16 ( [tex]cm^2[/tex] )

So, the area of the figure should be the following -

Area of Figure = 3 [tex]*[/tex] 2π + 3( 16 - 2π ) = 48 ( cm )^2

Answer:

You count the amount in each section, add them all together and divide by the total amount of variables used to find the mean. for example, if you had the numbers 3, 5, 8, and 4, the mean would be (3+5+8+4)= 5

Step-by-step explanation:

Answer:

Profit =  $6,922.1

Step-by-step explanation:

Total weight of pecans = 950 kg

1 kg = 1000g

Total weight of pecans in gram = 950 *1000 g = 950,000 g

Note : we have calculated weight in gram as later in question weight of pecans in bag is given in gram so to make uniformity in unit of weight)

Given quantity one bag can store = 250 g

let there be x bag to store 950,000 g of pecan

weight of x bag = quantity one bag can store*x  = 250x (this will be equal to total weight of pecan as given)

250 x= 950,000 g

=> x = 950000/250 = 950*4 = 3800

Thus, there are 3800 bags.

Selling price for 1 bag = $1.90

Selling price for  3800 bag = $1.90*3800 = $7,220

we know profit = selling price - cost price

given cost price of 950 kg pecan = $297.90

Profit = $7,220 - $297.90 = $6,922.1 (answer)

Answer:

55

Step-by-step explanation:

Tamara's forearm is given to be 0.366 meters in length, so that a force of 155 newtons is being applied at this distance from her elbow. Again, this force is applied at an angle of 15 degrees, so that the positioning should be the following -

r = ( 0.366( cos 15 ), 0, 0.366( sin 15 ) ),

r = ( 0.35352885242, 0, - 0.0947277705 ) - ( Approximately )

Now the force is applied in the vertical direction, so -

F = ( 0, 0, 155 )

_________________________________________________

We can now multiply the two (  ( 0.35352885242, 0, - 0.0947277705 ) and ( 0, 0, 155 ) ), performing the following calculation to receive " j " the magnitude,

[tex]|0.35352885242, 0, - 0.0947277705 |\\* | 0, 0, 155 |,\\\\( 0( 155 ) - 0( - 0.0947277705 ) ) - ( 0.35352885242( 155 ) - 0( - 0.0947277705 ) ) + ( 0( 0.35352885242 ) - 0( 0 ) )\\\\Solution = ( 0, ( About ) 54.8, 0 )[/tex]

And as you can see, j / magnitude is about 54.8

Answer:

$34,000

Step-by-step explanation:

Since a one hundred dollar bill is equal to 100, we simply multiply 340 and 100 together:

340(100) = 34000

Answer:

a. proportions have not changed significantly

Step-by-step explanation:

Given

Business College= 35 %

Arts College= 35 %

Education College = 30%

Calculated

Business College = 90/300= 9/30= 0.3 or 30%

Arts College= 120/300= 12/30= 2/5= 0.4 or 40%

Education College= 90/300= 9/30 = 0.3 or 30%

First we find the mean and variance of the three colleges using the formulas :

Mean = np

Standard Deviation= s= [tex]\sqrt{npq\\}[/tex]

Business College

Mean = np =300*0.3= 90

Standard Deviation= s= [tex]\sqrt{npq\\}[/tex]=[tex]\sqrt{0.3*0.7*300}[/tex]= 7.94

Arts College

Mean = np =300*0.4= 120

Standard Deviation= s= [tex]\sqrt{npq\\}[/tex]=[tex]\sqrt{0.4*0.6*300}[/tex]=  8.49

Education College

Mean = np =300*0.3= 90

Standard Deviation= s= [tex]\sqrt{npq\\}[/tex]=[tex]\sqrt{0.3*0.7*300}[/tex]= 7.94

Now calculating the previous means with the same number of students

Business College

Mean = np =300*0.35= 105

Arts College

Mean = np =300*0.35= 105

Education College:

Mean = np =300*0.3= 90

Now formulate the null and alternative hypothesis

Business College

90≤ Mean≥105

Arts College

105 ≤ Mean≥ 120

Education College

U0 : mean= 90     U1: mean ≠ 90

From these we conclude that the  proportions have not changed significantly meaning that it falls outside the critical region.

Answer :

option C is the correct answer

━━━━━━━☆☆━━━━━━━

▹ Answer

[tex]\frac{13}{4}[/tex]

▹ Step-by-Step Explanation

4 Squares = x/4

13 parts are shaded in so...

The answer would be 13/4.

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

Summation of the non variable Expression within the quality sign

1/2 + 1-2x= -13/2

3/2-2x= -13/2

Step-by-step explanation:

1/2-1/3(6x-3)=-13/2

First step

Using the distributive property to simply

1/2-(6x/3)+(3/3)=-13/2

1/2 -2x +1 = -13/2

Second step

Summation of the non variable Expression within the quality sign

1/2 + 1-2x= -13/2

3/2-2x= -13/2

Third step

Isolating the variable Expression by using the addition property of equality

-2x = -13/2 - 3/2

-2x = -16/2

Fourth step

Isolating the variable by using the division property of equality

-2x = -16/2

X = -16/2 * -1/2

X = -16/-4

X= 4

Answer:

Simplify by combining like terms

Step-by-step explanation:

Answer:

[tex]b_1=\left(\begin{array}{ccc}-3\\3\end{array}\right),b_2=\left(\begin{array}{ccc}-\dfrac{65}{11}\\\\-\dfrac{19}{11}\end{array}\right)[/tex]

Step-by-step explanation:

Given matrix A and AB below:

[tex]A=\left(\begin{array}{ccc}1&-4\\-4&5\end{array}\right)\\\\\\ AB=\left(\begin{array}{ccc}-10&1&9\\7&-15&8\end{array}\right)[/tex]

For the product AB to be a 2 X 3 matrix, B must be a 2 X 3 matrix.

Let matrix B be defined as follows

[tex]B=\left[\begin{array}{ccc}a&c&e\\b&d&f\end{array}\right][/tex]

Therefore:

[tex]\left(\begin{array}{ccc}1&-4\\-4&5\end{array}\right)\left(\begin{array}{ccc}a&c&e\\b&d&f\end{array}\right)=\left(\begin{array}{ccc}-10&1&9\\7&-15&8\end{array}\right)[/tex]

This results in the equations

Solving the first two equations simultaneously

a-4b=-10  (a=-10+4b)

-4a+5b=7

Substitution of [tex]a=-10+4b[/tex] into the second equation

[tex]-4(-10+4b)+5b=7\\40-16b+5b=7\\-11b=-33\\b=3[/tex]

Recall that  [tex]a=-10+4b[/tex]

[tex]a=-10+4(3)=-10+7\\a=-3[/tex]

Solving the other two equations

c-4d=1 (c=1+4d)

-4c+5d=-15

Substitution of c=1+4d into the second equation

[tex]-4(1+4d)+5d=-15\\-4-16d+5d=15\\-11d=19\\d=-\dfrac{19}{11}\\ Recall: c=1+4d\\c=1+4(-\frac{19}{11})\\c=-\dfrac{65}{11}[/tex]

Therefore, we have:

[tex]a=-3, b=3, c=-\dfrac{65}{11}, d=-\dfrac{19}{11}[/tex]

Thus:

[tex]b_1=\left(\begin{array}{ccc}-3\\3\end{array}\right)\\\\\\b_2=\left(\begin{array}{ccc}-\dfrac{65}{11}\\\\-\dfrac{19}{11}\end{array}\right)[/tex]

Answer:

option c

Step-by-step explanation:

it is said that a computer repairman makes 25 dollars per hour

this column shows the right amount of money he earns per hour

Answer:

Option D is the correct option.

Step-by-step explanation:

Diameter (d) = 10 yd

Radius(r) = 10/2 = 5 yd

Slant height (l)= 12.1 yd

We know,

Lateral surface area of cone:

[tex]\pi \: r \: l[/tex]

[tex] = 3.14 \times 5 \times 12.1[/tex]

[tex] = 189.97 \: {yd}^{2} [/tex]

which is nearly 190.07 square yards.

Hope this helps...

Good luck on your assignment..

Answer:

[tex]190.07 {yd}^{2} [/tex]

Step-by-step explanation:

[tex]lateral \: \: area \\ = \pi \: rl \\ = 3.14 \times 5 \times 12.1 \\ = 189.97[/tex]

189.97 square yards which is nearly 190.07 square yards

Answer:

the first one

Step-by-step explanation: they are all the same

Step-by-step explanation:

You just have to plug the numbers they give you into the equation. For the first one, you have 0 + 5y = 10; 5y = 10; y = 2. For the second one, x + 5(0) = 10; x + 0 = 10; x = 10. And lastly, for the third one, x + 5(6) = 10; x + 30 = 10; x = -20.

Answer:

the triangle ABC undergoes "reflecting over the X-axis to become A'B'C'

the triangle A'B'C' undergoes "reflecting over the y-axis to become A"B"C"

Step-by-step explanation:

if you reflect over the X-axis, the X values stay the same, as reflecting over the x-axis is like flicking a lever down/up, it gets inverted and goes up and down, but stays the same sideways (seeing as Y value measures up and down, and x measures side to side). and the reverse is true for flipping over the Y-axis (think of it the same way but its a lever sideways instead)

Answer:

Option B is correct = [tex]0.3 \times 81[/tex]

Step-by-step explanation:

The complete question is: Which of the following options have the same value as 30% of 81?

Group of choices is:

(A) [tex]\frac{30}{100}\times 81 \times 100[/tex]

(B) [tex]0.3 \times 81[/tex]

(C) [tex]0.03 \times 81[/tex]

(D) [tex]\frac{3}{10}\times 81 \times 10[/tex]

(E) [tex]30 \times 81[/tex]

Now, the expression given to us is 30% of 81.

Simplifying the above expression we get;

   30% of 81  =  [tex]\frac{30}{100} \times 81[/tex]

                     =  [tex]\frac{3}{10} \times 81[/tex]  =  [tex]0.3 \times 81[/tex]

Now, we will solve each of the given options and then see which option matches with our calculation.

Option (A) is given;

[tex]\frac{30}{100}\times 81 \times 100[/tex]  =  [tex]30 \times 81[/tex]

This doesn't match with our answer, so this option is not correct.

Option (B) is given;

[tex]0.3 \times 81[/tex]  

This matches with our answer, so this option is correct.

Option (C) is given;

[tex]0.03 \times 81[/tex]  

This doesn't match with our answer, so this option is not correct.

Option (D) is given;

[tex]\frac{3}{10}\times 81 \times 10[/tex]  =  [tex]3 \times 81[/tex]

This doesn't match with our answer, so this option is not correct.

Option (E) is given;

[tex]30 \times 81[/tex]  

This doesn't match with our answer, so this option is not correct.

Answer:

Let's try (x+5) first. According to the Remainder Theorem, if (x+5) is a factor of the polynomial, the remainder is zero.  

when x+5=0, x=-5

use synthetic division:

-5 I  1    7    11     5

   I        -5    -10   -5

    ----------------------

       1    2     1      0

the remainder is 0, so (x+5) is a factor:

the result is (x+5)(x²+2x+1)

factor again: (x+5)(x+1)(x+1) is the final answer.

Answer:

The smallest square number  that can be written using five different  Roman numerals is 10,000.

The result of the number divided by 24 is [tex]416 \dfrac{2}{3}[/tex]

Step-by-step explanation:

The lowest digit which can be written using five different Roman numerals is 10,000.

Therefore, the smallest square number must be greater than or equal to 10,000.

[tex]\sqrt{10,000} =100[/tex]

Therefore, the smallest square number  that can be written using five different  Roman numerals is 10,000.

Next, we divide the number by 24.

[tex]10,000 \div 24 =416 \dfrac{2}{3}[/tex]

The result of the number divided by 24 is [tex]416 \dfrac{2}{3}[/tex]

answer is 2 I've done this question before

Answer:

the initial value us 2

Step-by-step explanation:

It is the starting pt...

Answer:

The 90% confidence interval for the mean time that the drug will take to reduce all fevers for all people is between 304 minutes and 336 minutes

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 40 - 1 = 39

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.685

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.685\frac{60}{\sqrt{40}} = 16[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 320 - 16 = 304 minutes

The upper end of the interval is the sample mean added to M. So it is 320 + 16 = 336 minutes

The 90% confidence interval for the mean time that the drug will take to reduce all fevers for all people is between 304 minutes and 336 minutes

Answer:

If a component received by the manufacturer is defective, the probability that it was produced at plant A is 0.5385 = 53.85%.

Step-by-step explanation:

We use the Bayes Theorem to solve this question.

Bayes Theorem:

Two events, A and B.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Defective component

Event B: Produced at plant A.

Plant A produces 70% of the components used

This means that [tex]P(B) = 0.7[/tex]

Among the components produced at plant A, the proportion of defective components is 1%.

This means that [tex]P(A|B) = 0.01[/tex]

Probability of a defective component:

1% of 70%(defective at plant A)

2% of 100 - 70 = 30%(defective at plant B). So

[tex]P(A) = 0.01*0.7 + 0.02*0.3 = 0.013[/tex]

If a component received by the manufacturer is defective, the probability that it was produced at plant A is

[tex]P(B|A) = \frac{0.7*0.01}{0.013} = 0.5385[/tex]

If a component received by the manufacturer is defective, the probability that it was produced at plant A is 0.5385 = 53.85%.

Answer:

3^2

Step-by-step explanation:

=3^3+3/3^4

=3^6/3^4

=3^6-4

=3^2

Answer:

The answer is option C.

Step-by-step explanation:

Use the rules of indices. When the are the same and are multiplying we add the exponents if they are dividing we subtract the exponents.

That's

[tex] \frac{ {3}^{3} \times {3}^{3} }{ {3}^{4} } \\ = \frac{ {3}^{3 + 3} }{ {3}^{4 } } \\ = \frac{ {3}^{6} }{ {3}^{4 } } \\ = {3}^{6 - 4} \\ \\ = {3}^{2} [/tex]

Hope this helps you

Answer:

Sum of Interior Angles = (Number of Sides -2) • 180 degrees

Sum of Interior Angles = (8 -2) * 180 = 1,080

Complete Question

The proportion of all students at this college who use drugs is a_____and the proportion of students who use drugs in your dorm is a _____ .

Options

Answer:

b. parameter; statistic

Step-by-step explanation:

A parameter is a summary of data for an entire population.

Statistic, on the other hand, summarizes data for a sample of the population.

The proportion of all students at this college who use drugs is a parameter and the proportion of students who use drugs in your dorm is a sample.

The correct option is B

Answer:

B. 0.07

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that the proportion of convicted drug pushers is significnalty higher than 20%.

Then, the null and alternative hypothesis are:

[tex]H_0: \pi=0.2\\\\H_a:\pi>0.2[/tex]

The sample has a size n=144.

The sample proportion is p=0.25.

[tex]p=X/n=36/144=0.25[/tex]

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.2*0.8}{144}}\\\\\\ \sigma_p=\sqrt{0.001111}=0.0333[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p-\pi}=\dfrac{0.25-0.2}{0.0333}=\dfrac{0.05}{0.0333}=1.5[/tex]

This test is a right-tailed test, so the P-value for this test is calculated as:

[tex]\text{P-value}=P(z>1.5)=0.066\approx0.07[/tex]

Answer:

1.2 metres

Step-by-step explanation:

1 metre = 100cm

so 120cm has 120 cm * 1 m/ 100cm = 1.2 m

Answer:

-5

Step-by-step explanation:

its what you multiply by to get the next number

Answer:

Step-by-step explanation:

Hello!

You have to determine the sample size to take to estimate the population proportion of Democrats among registered voters in Texas for a 96% interval with a margin of error of 0.01 and sample proportion p'= 0.28

The interval for the population proportion is

p' ± [tex]Z_{1-\alpha /2}[/tex]*[tex]\sqrt{\frac{p'(1-p')}{n} }[/tex]

The margin of error of the interval is:

d= [tex]Z_{1-\alpha /2}[/tex]*[tex]\sqrt{\frac{p'(1-p')}{n} }[/tex]

[tex]\frac{d}{Z_{1-\alpha /2}}= \sqrt{\frac{p'(1-p')}{n} }\\(\frac{d}{Z_{1-\alpha /2}} )^2= \frac{p'(1-p)}{n} \\n*(\frac{d}{Z_{1-\alpha /2}} )^2= p'(1-p)\\n= p'(1-p)*(\frac{Z_{1-\alpha /2}}{d} )^2\\[/tex]

[tex]Z_{1-\alpha /2}= Z_{0.98}= 2.054[/tex]

[tex]n= 0.28*(1-0.28)*(\frac{2.054}{0.01} )^2= 8505.33[/tex]

n= 8506 voters

I hope this helps!