At the sixth-grade school dance, there are 132 boys, 89 girls, and 14 adults. Write the ratio of the number of boys to the number of girls. Type your answer either in the format: 3:4 with no spaces, OR in the format 3 to 4.

Answer:

30.4 days or 31 days

Step-by-step explanation:

553 - 112 = 441

it took 30 days for 441 cases

30 / 441 = 0.06802721088

1000 - 553 = 447

0.06802721088 x 447 = 30.4081632653

30.4 days or 31 days

Answer:

  A (the marked answer is correct)

Step-by-step explanation:

The result of a single refection will look like the reverse of the letter Z, so the only possibilities are choices A and C.

Since the horizontal lines are still horizontal, the reflection must be across a horizontal or vertical line. If the reflection is across a horizontal line, the image will be vertically aligned with the preimage. If the reflection is across a vertical line, the image will be horizontally aligned with the preimage.

Choice A is horizontally aligned with the preimage. Choice C is not aligned either way. (It is a "glide reflection.")

Image A is the result of reflection across the y-axis.

Answer:

Dear its two variable function so either you should give me other function of x and y or you should give me condition to solve this problem

so see you next time

Step-by-step explanation:

Answer:

Step-by-step explanation

C

Answer:

1. [tex]\dfrac{dy}{dt}=4-\dfrac{3y(t)}{100+2t}[/tex]

2. [tex]y(40) = 110.873 \ kg[/tex]

Step-by-step explanation:

Given that:

A very large tank initially contains 100 L of pure water.

Starting at time t = 0 a solution with a salt concentration of 0.8kg/L is added at a rate of 5L/min.

. The solution is kept thoroughly mixed and is drained from the tank at a rate of 3L/min.

As 5L/min is entering and 3L/min is drained out, there is a 2L increase per minute. Therefore, the amount of water at any given time t = (100 +2t) L

t = (50 + t ) L

Since it is given that we should  consider y(t) to be the  amount of salt (in kilograms) in the tank after t minutes.

Then , the differential equation that  y satisfies can be computed as follows:

[tex]\dfrac{dy}{dt}=rate_{in} - rate_{out}[/tex]

[tex]\dfrac{dy}{dt}=(0.8)(5) -\dfrac{y(t)}{100+2t} \times3[/tex]

[tex]\dfrac{dy}{dt}=(0.8)(5) -\dfrac{3y}{100+2t}[/tex]

[tex]\dfrac{dy}{dt}=4-\dfrac{3y(t)}{100+2t}[/tex]

How much salt is in the tank after 40 minutes?

So,

suppose : [tex]e^{\int \dfrac{3}{100+2t} \ dt} = (t+50)^{3/2}[/tex]

Then ,

[tex]( t + 50)^{3/2} y' + \dfrac{3}{2}(t+50)^{1/2} y = 4(t+50)^{3/2}[/tex]

[tex]( t + 50)^{1.5} y' + \dfrac{3}{2}(t+50)^{0.5} y = 4(t+50)^{3/2}[/tex]

[tex][y\ (t + 50)^{1.5}]' = 4(t+ 50)^{1.5}[/tex]

Taking the integral on both sides; we have:

[tex][y(t + 50)^{1.5}] = 1.6 (t + 50)^{2.5} + C[/tex]

[tex]y = 1.6 (t+50)+C(t+50)^{-1.5}[/tex]

[tex]y(0) = 0 = 1.6(0+50) + C ( 0 + 50)^{-1.5}[/tex]

[tex]0 = 1.6(50) + C ( 50)^{-1.5}[/tex]

[tex]C= -1.6(50)^{2.5}[/tex]

[tex]y(40) = 1.6 (40 + 50)^1 - 1.6 (50)^{2.5}(50+40)^{-1.5}[/tex]

[tex]y(40) = 144 - 1.6 \times 17677.66953 (90)^{-1.5}[/tex]

[tex]y(40) = 144 - 1.6 \times 17677.66953 \times 0.001171213948[/tex]

[tex]y(40) = 144 - 33.12693299[/tex]

[tex]y(40) = 110.873 \ kg[/tex]

Answer:

The correct answer is a = 8.

Step-by-step explanation:

To solve this problem, we must remember the formula for slope, which is:

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

Now, we can plug in the values that we are given into the slope formula:

-3/2 = (-3-6)/(a-2)

Now, we should begin to simplify the equation.

-3(a-2) = 2(-9)

We can use the distributive property to eliminate the parentheses on each side of the equation:

-3a + 6 = -18

Then, we can subtract 6 from both sides of the equation to get the variable term alone on the left side of the equation:

-3a = -24

Finally, we should divide both sides by -3 to completely isolate the variable on the left side of the equation:

a = 8

Therefore, the correct answer is a= 8.

Hope this helps!

Answer:

The standard parabola

                                y² = -18 x +27

Length of Latus rectum = 4 a = 18

Step-by-step explanation:

Explanation:-

Given focus : (-3 ,0) ,directrix  : x=6

Let P(x₁ , y₁) be the point on parabola

PM perpendicular to the the directrix L

                          SP² = PM²

                (x₁ +3)²+(y₁-0)²  = [tex](\frac{x_{1}-6 }{\sqrt{1} } )^{2}[/tex]

              x₁²+6 x₁ +9 + y₁² = x₁²-12 x₁ +36

                          y₁² = -18 x₁ +36 -9

                           y₁² = -18 x₁ +27

The standard parabola

                                y² = -18 x +27

    Length of Latus rectum = 4 a = 4 (18/4) = 18

Answer:

x = 7

Step-by-step explanation:

5x + 9 = 6x + 2

5x - 6x = 2 - 9

-x = -7

x = 7

probe:

5*7 + 9 = 6*7 + 2

35 + 9 = 42 + 2 = 44

Answer:

x = 11

Step-by-step explanation:

The angles shown are alternate exterior angles.  If they are equal, then the lines are parallel

5x+9 = 6x-2

Subtract 5x from each side

5x-5x+9 = 6x-5x-2

9 = x-2

Add 2 to each side

9+2 = x

11 =x

Answer:

7.28 years

Step-by-step explanation:

Given that:

A partially amortizing loan of with a present value = $200000

is made with a 4.55%  annual interest rate.

i.e  rate (4.55/100) ÷ 12

= 0.0455  ÷ 12

= 0.00379

A balloon of $20,000 exists on the loan

This implies that the Present value of the loan = 20000

If the monthly payments PMT are $2,500

The number of years that it will require for the loan to be fully repaid can be calculated  by using the EXCEL FUNCTION (=NPER(0.00379;-2500;200000;-20000;0) )

= 87.3997 /12

= 7.28 years

The Excel computation can be found in the attached file below

Answer:

$153

Step-by-step explanation:

She orders 34 shirts for $7 each.

34 × 7 = $238 - total cost for the shirts

She sells 27 shirts for $15 each.

27 × 15 = $405 - profit from selling shirts

Subtract the profit from the amount paid.

$405 - $238 = $167

Sarah has a profit of $167. But, she had to return 7 shirts and pay $2 each.

$7 × 2 = $14 - charge for returning shirts

Subtract this from the profit made to get the final profit.

$167 - $14 = $153

Sarah's profit is $153 from buying and selling the shirts.

Hope that helps.

Answer:

Speed= 67.5 miles per hour

Step-by-step explanation:

Google maps has told Juanita that her car trip will be 32 miles.

Juanita has already gone 14 miles.

Remaining miles left to travel

= 32-14

Remaining miles left to travel

= 18 miles

She has only 16 minutes to reach her destination.

The required speed for her to reach her destination

= Distance/time

Her time = 16 minutes

Her time = 16/60

Her time =4/15 hours

Speed= distance/time

Speed= 18 /(4/15)

Speed=18* 15/4

Speed= 67.5 miles per hour

Juanita needs to drive at 67.5 miles per hour to arrive in 16 more minutes

The total distance (D) is given as:

[tex]\mathbf{D = 32miles}[/tex]

She has traveled 14 miles;

So, the remaining distance (d) is:

[tex]\mathbf{d = D -14}[/tex]

This gives

[tex]\mathbf{d = 32 -14}[/tex]

[tex]\mathbf{d = 18}[/tex]

Speed is calculated as:

[tex]\mathbf{Speed = \frac{distance}{time}}[/tex]

Where: distance = 18 miles and time = 16 minutes

So, we have:

[tex]\mathbf{Speed = \frac{18\ miles}{16\ minutes}}[/tex]

Convert time to hour

[tex]\mathbf{Speed = \frac{18\ miles}{16/60\ hour}}[/tex]

So, we have:

[tex]\mathbf{Speed = \frac{18 \times 60\ miles}{16\ hour}}[/tex]

[tex]\mathbf{Speed = \frac{1080\ miles}{16\ hour}}[/tex]

Divide

[tex]\mathbf{Speed = 67.5\ miles/ hour}[/tex]

Hence, the speed is 67.5 miles per hour

Read more about speed and distance at:

https://brainly.com/question/21791162

Answer:

717 * 213 = 152721

Step-by-step explanation:

Given

717 and 213

Required

Multiply

Rewrite in the following form

7   1     7

* 2    1    3

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

Start by multiply 717 by 3

7   1     7

* 2    1    3

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

      2   1   5   1

Then multiply 717 by 1

7   1     7

* 2    1    3

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

      2   1   5   1

      7    1   7

Then multiply 717 by 2

7   1     7

* 2    1    3

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

      2   1   5   1

      7    1   7

1   4 3   4

Lastly, add the resulting digits

7   1     7

* 2    1    3

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

      2   1   5   1

      7    1   7

1  4 3   4

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

1 5 2 7 2 1

Hence; 717 * 213 = 152721

Question:

A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 50.0 and 55.0 minutes. Find the probability that a given class period runs between 50.75 and 51.5 minutes.. (Round to three decimal places as needed.)

Answer:

[tex]Probability = 0.150[/tex]

Step-by-step explanation:

Given

Type of distribution: Uniform Distribution

Distribution Interval: 50.0 to 55.0

Required

Determine the probability that her class is between 50.75 and 51.5

First, we need to calculate the difference between the distribution interval (D1)

[tex]D1 = 55.0 - 50.0[/tex]

[tex]D1 = 5.0[/tex]

Next is to calculate the difference between the probability interval (D2)

[tex]D2 = 51.50 - 50.75[/tex]

[tex]D2 = 0.75[/tex]

The required probability is calculated by dividing D2 by D1

[tex]Probability = \frac{D2}{D1}[/tex]

[tex]Probability = \frac{0.75}{5.0}[/tex]

[tex]Probability = 0.150[/tex]

Answer: C.) The coefficient of determination is 0.215. 21.5% of the variation is explained by the linear correlation, and 78.5% is explained by other factors.

Step-by-step explanation:

Given that :

Number of observations = 40

Linear Correlation Coefficient (R) = 0.464

The Coefficient of determination ( R^2) =?

The Coefficient of determination (R^2) is the squared value of the linear correlation Coefficient value (R) . The value value ranges from 0 to 1 and depicts the proportion of the variation in the dependent variable that can be accounted for by the independent variable.

For the scenario given above,

The Coefficient of determination (R^2) = 0.464^2 = 0.215296 = (0.215296 * 100%) = 21.5%

This means that 21.5% of the variation can be explained by the relationship between both variables while (100% - 21.5% = 78.5%) can be explained by other factors.

Answer:

There is no opposite of 0.

Step-by-step explanation:

There cannot be a zero the opposite of zero. If there was, then there would be two 0's, and there is only one.

Answer:

1.  1 * [tex]x^{3/6}[/tex] = [tex]x^{3/6}[/tex] (it will be equal to the sixth root of x cube)

2.  No, the expression [tex]x^{3}[/tex] X [tex]x^{3}[/tex] X [tex]x^{3}[/tex] will be equal to [tex]x^{3 + 3 + 3 }[/tex] since the powers of      numbers with the same base are added

3. B and D   1/[tex]x^{-1}[/tex] is the same as 'x'

as mentioned in the last answer, powers of numbers with same base are added. hence, option D will be [tex]x^{3/3}[/tex] which will be equal to x

Answer:

1. 0.5 for x, 3 for y

2. 1.5 for x, 9 for y

3. 2.5 for x, 15 for y

Step-by-step explanation:

I will explain later if you still need help...but you said you need it fast, so I don't want to be too slow.  :)

Answer:

cd

Step-by-step explanation:

Because if you think of a rectangle the parallel side is CD

Answer:

segment CD would be parallel to segment AB

Step-by-step explanation:

Answer:

The 90% confidence interval is  [tex]0.445< p < 0.456[/tex]

Step-by-step explanation:

From the  question we are told that

  The sample  size is  [tex]n = 17592[/tex]

  The number of  binge  drinkers is  [tex]k = 7851[/tex]

Given that the  confidence level is  90%  then the level of significance is mathematically represented as

          [tex]\alpha = (100 - 90)\%[/tex]

          [tex]\alpha = 0.10[/tex]

The critical value  of  [tex]\frac{\alpha }{2}[/tex]  from the normal distribution table  is  [tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]

The  sample  proportion is mathematically represented as

      [tex]\r p = \frac{ 7851}{ 17592}[/tex]

      [tex]\r p = 0.45[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{ \frac{x}{y} } * \sqrt{\frac{\r p(1 - \r p )}{n} }[/tex]

       [tex]E =1.645 * \sqrt{\frac{ 0.45 (1 - 0.45 )}{17592} }[/tex]

      [tex]E =0.00617[/tex]

The  90%  confidence interval is mathematically represented as  

      [tex]\r p -E < p < \r p +E[/tex]

      [tex]0.45 -0.00617 < p < 0.45 + 0.00617[/tex]

      [tex]0.445< p < 0.456[/tex]

Answer:

3.14

Step-by-step explanation:

Los primeros tres son 3.14

Answer:

[tex]\huge \boxed{24}[/tex]

Step-by-step explanation:

Let if x=12, y=8, and z=3.

[tex]4(12)-(8)(3)[/tex]

Evaluate.

[tex]48-24[/tex]

[tex]=24[/tex]

Start by substituting the appropriate numbers in for

your variables, using parenthses as you go.

You'll get 4(12) - (8)(3).

Now think about your order of operations.

Multiplication comes before subtraction.

So first multiply 4(12) to get 48.

So we have 48 - (8)(3).

Now multiply (8)(3) to get 24.

So we have 48 - 24 which is 24.

Answer:

2 < x < 3

Step-by-step explanation:

Set A)

3x + 4 ≥ 13

3x ≥ 9

x ≥ 3

Set B)

0.5x + 3 ≤ 4

0.5x ≤ 1

x ≤ 2

Plot it out on a number line, and you'll see that 2 < x < 3

Answer:

It's A

Step-by-step explanation:

Answer:

x = 24

Step-by-step explanation:

In order to solve for x, you need to isolate it on one side of the equal sign. So in this case you need to multiply both sides by 4, in order to cancel the dividing factor 4 that appears in the denominator :

[tex]\frac{x}{4} =6\\4\,*\,\frac{x}{4} =6\,*\,4\\x = 24[/tex]

Answer:

X = 24

Step-by-step explanation:

[tex]\frac{X}{4}=6\\\\\mathrm{Multiply\:both\:sides\:by\:}4\\\frac{4X}{4}=6\times\:4\\\\\mathrm{Simplify}\\X=24[/tex]

Answer:

Step-by-steIn order to go to college, Chris goes from working full-time making $30,000 per year to working part-time at half the salary for two years. The cost of his education will be $5,000. If Chris makes $35,000 per year after getting his degree, approximately how many years will it take him to recover his investment? *

it would take him 7 years to recover the 35,000 he invested

p explanation:

he was in college two years and it cost him a total of 5000 and he lost 30000 from the two years he worked part time

Answer: the probability that a person who tested positive actually has TB is 0.64

Step-by-step explanation:

lets say

T : has tuberculosis

+ : test results +ve

- : test result is -ve

so given that

P(+ITc) = 0.008

P(-ITc) = 0.15

P(T) = 50/3000 = 1/60

P(Tc) = 1 - P(T) = 1 - 1/60 = 59/60

Now required probability

= P(TI+)

P(T∩+) / P(+)

=  P(T) × P(+IT) / [[P(T) × P(+IT)] + [(P(Tc) × P(+ITc)]

=  P(T) × {1-P(-IT)] / [[P(T) × [1-P(-IT)] + [(P(Tc) × P(+ITc)]

WE SUBSTITUTE

=  { 1/60 × (1-0.15) } /  [1/60 × (1 - 0.15)] + [(59/60) × 0.008]

= (0.0167 × 0.85) /  [(0.0167 × 0.85) + (0.9833 × 0.008)]

= 0.01417 / 0.02206

= 0.6423 ≈ 0.64

∴ the probability that a person who tested positive actually has TB is 0.64

Answer:

588.76

Step-by-step explanation:

Commission is 7% of total

Total selling price of 516 crates of oranges:

Commission amount:

Answer:

[tex]t=22[/tex]

Step-by-step explanation:

First, note that the entire thing is a square. This is because since two of the opposite angles are right angles, the remaining two must also be right angles.

In a square, all four sides are equivalent.  

Therefore, the sides PS an RS are equal to each other. Thus:

[tex]PS=RS\\t+22=2t\\22=t\\t=22[/tex]

Answer:

see below (I hope this helps!)

Step-by-step explanation:

We can see that every 3 tick marks on the line is 1, therefore, the space between 2 tick marks is 1/3. Using this information, we can see that A = [tex]-3\frac{1}{3}[/tex]. The absolute value of a negative number is simply the additive inverse of the number, therefore, our answer is [tex]-(-3\frac{1}{3}) = 3\frac{1}{3}[/tex].

Answer:

Step-by-step explanation:

Matured amount of $200000 at 4% compounded quarterly after 3 years

= $200000 x ( FVIF , 1 , 12 )

= $200000 X 1. 1268

= $225360 .

Matured amount of $210000 at 3% compounded semiannually  after 2 years

= $210000 x ( FVIF , 1.5 , 4 )

= $210000 X 1. 1268

= $225360 x 1.0614

= $239197

Total amount after maturity

= $225360 + $239197

= $464557

Matured amount of $464557  at 2% compounded annually  after 7 years

= $464557  x ( FVIF , 2 , 7 )

= $464557 x 1.1487

= $533636.6

This amount is more than his target amount of 500000.00 So she meets the goal .

Answer:

A. The risk of type l error increases and becomes too high.

Step-by-step explanation:

The overall level of significance increases as the number of t- tests ( used for comparing two, three or four means separately ) increases. This in turn increases the risk of type I error.

We might be tempted to apply the two sample t- test to all possible pairwise comparisons of means. This type of running t- test to several means comparison has the risk of increasing overall level of significance