Of the students living in the dormitories at aa€‹ university, 65% live at the westa€‹ hall, and the rest at the south tower. A sandwich shop randomly mails a coupon for a free sandwich to 24% of those at the westa€‹ hall, and to 19% of those living at the south tower. Let D be the event that the person receive a coupon, E1 be the event that the person is living in the westa€‹ hall, and E2 be the event that the person is living in the south tower. A student living in a dormitory is randomly chosen.

Required:
Find the probability that this person received a coupon. Also write an expression that models the probability.

x=25

Step-by-step explanation:

2000=400√x

Step 1: Flip the equation.

400√x=2000

Step 2: Divide both sides by 400.

400√x/400=2000/400

√x=5

Step 3: Solve Square Root.

√x=5

x=52(Square both sides)

x=25

Check answers. (Plug them in to make sure they work.)

x=25

Answer: Hello Luv........

Isolate the variable by dividing each side by factors that don't contain the variable.

x=19

Step-by-step explanation:

Hope this helps.

Mark me brainest please.

Anna ♥

Answer:

Option (3)

Step-by-step explanation:

Properties of the equal matrices,

1). Every element of the one matrix are equal to the elements of other.

2). Both the matrices have same dimensions.

If,  [tex]\begin{bmatrix}x+3 & y+4\\ 7 & -5\end{bmatrix}=\begin{bmatrix}5 & 0\\ 7 & z\end{bmatrix}[/tex]

[tex]x+3=5[/tex]

[tex]x=2[/tex]

[tex]y+4=0[/tex]

[tex]y=-4[/tex]

[tex]x=-5[/tex]

Therefore, Option (3) will be the correct option.

Answer:

141/12

Step-by-step explanation:

Answer:

3y-x =-6

Step-by-step explanation:

The equation of a line in point slope form is expressed as;

y-y0 = m(x-x0)

(x0, y0) is the point = (3, -1)

Given the equation 3xs+y = 1

Get the slope

y = -3x + 1

mx = -3x

m = -3

Since the equation needed is perpendicular to the line, the slope will be expressed as;

M = -1/-3

M = 1/3

Substitute and get the equation needed

y-y0 = m(x-x0)

y - (-1) = 1/3(x-3)

y+1 = 1/3(x-3)

3(y+1) = x-3

3y+3 = x-3

3y - x = -3-3

3y-x =-6

This gives the required equation

Answer:

1055

Step-by-step explanation:

  473

+ 362

---------  3 + 2 = 5, even in base 8

       5

Now 7 + 6 = "thirteen" = 15 in base 8 so write 5 in the next column, carry 1

  1

  473

+ 362

---------  

      55

1 + 4 + 3 = "eight" = 10 in base 8. Write 0 in the next column, carry 1

  1

  473

+ 362

---------  

 1055

Answer:

C) f(x) = 6.25x + 3

Step-by-step explanation:

In order to know which one of the functions could produce the results in the table we simply need to substitute the number of candy bars for x in the function and solve it to see if it provides the correct total weight shown in the table. If we do this with the functions provided we can see that the only one that provides accurate results would be

f(x) = 6.25x + 3

We can input the # of candies for x and see that it provides the exact results every time as seen in the table.

f(x) = 6.25(1) + 3 = 9.25

f(x) = 6.25(2) + 3 = 15.50

f(x) = 6.25(3) + 3 = 21.75

f(x) = 6.25(4) + 3 = 28

Answer:

centre is (8, -5)

[tex]r = \sqrt{ {g}^{2} + {f}^{2} - c } \\ = \sqrt{64 + 25 - 80} \\ = \sqrt{9} \\ r = 3 \\ radius \: = \: 3 \: units[/tex]

Answer:

Ryan sprinted 46.33 yards.

Step-by-step explanation:

Ryan sprinted 139 feet.

1 feet = 0.33 Yard

Formula: Divide the length value by 3

Now,

139 ÷ 3 = 46.33

Thus, Ryan sprinted 46.33 yards.

-TheUnknownScientist

9514 1404 393

Answer:

  8 m

Step-by-step explanation:

The area of a circle of radius r is ...

  A = πr²

The total area of the two circles is ...

  80π m² = πr² +π(2r)² = 5πr²

  r² = 16 m² . . . . . . . . . divide by 5π

  r = 4 m . . . . . . . . . . . positive square root

The radius of the larger circle is 2r = 2(4 m) = 8 m.

Answer:

8 m is the answer.

Step-by-step explanation:

9514 1404 393

Answer:

  about 1.4288993 radians

Step-by-step explanation:

The angle to terminal arm A is ...

  ∠A = arctan((-4/5)/(-3/5)) ≈ 4.0688879 radians

The angle to terminal arm B is ...

  ∠B = arctan((-1/√2)/(1/√2)) ≈ 5.4977871 radians

Then the angle between the arms is ...

  5.4977871 -4.0688879 ≈ 1.4288993 . . . radians

Answer:

(H) is your answer i believe

Step-by-step explanation:

i subtracted 18 from each cost then divided it by 4 and got the numbers of game rented.

Answer:

I'm pretty sure it's 10 to the power of 3.

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the given information:

The number of children that were randomly allocated to each vaccination group; n₁ = 200,000

No of polio cases X₁ = 57

Now, in the vaccine group:

the proportion of polio cases is:

[tex]\hat p_1 = \dfrac{57}{200000}[/tex]

=  0.000285

The number of children that were randomly allocated to the placebo group, n₂ = 200,000

No of polio cases X₂ = 142

In the placebo group

the proportion of polio cases is:

[tex]\hat p_2 = \dfrac{142}{200000}[/tex]

Null and alternative hypothesis is computed as follows:

H₀: There is no difference in the proportions of polio cases between both groups.  

H₁: There is a difference in the proportions of polio cases between both groups.

Let assume that the level of significance ∝ = 0.05

The test statistic  can be computed as:

[tex]Z = \dfrac{\hat p_1-\hat p_2}{\sqrt{\dfrac{\hat p_1 \hat q_1}{n_1}+ \dfrac{\hat p_2 \hat q_2}{n_2}}}[/tex]

[tex]Z = \dfrac{0.000285-0.000710}{\sqrt{\dfrac{0.000285(1-0.000285)}{200000}+ \dfrac{0.000710(1-0.000710)}{200000}}}[/tex]

[tex]Z = \dfrac{-4.25\times 10^{-4}}{\sqrt{\dfrac{0.000285(0.999715)}{200000}+ \dfrac{0.000710(0.99929)}{200000}}}[/tex]

Z = - 6.03

P-value =  2P(Z < -6.03)

From the Z - tables

P-value =  2 × 0.0000

= 0.000

We reject the H₀ provided that P-value is very less.

Therefore, we may conclude that there is a difference in the proportions of polio cases between the vaccine group and placebo group not due to chance.

Answer:

Step-by-step explanation:d

Answer:Mean is 22. Median is 19. Mode is 31. Range is 18.

Step-by-step explanation:

Mean: add all the numbers and divide the answer by the number of numbers there were in the beginning.

31+16+13+19+31=110

110/5=22

Median: arrange the numbers in or Eder and find the middle

13,16,19,31,31

The middle is 19.

Mode: is the number that shows up frequently

Mode is 31 as it shows up twice

Range is the difference between the biggest and smallest number

31-13=18

18 is the range.

Answer:

C. 158

Step-by-step explanation:

215 + (- 57)

215 - 57

158

Answer:

Option C, 158

Step-by-step explanation:

This is the same as expression: 215 - 57

So the answer would be: 158

Hope this helps!

Answer:

I agree with gabby because if a bank is robbed you will get your money back from the bank.

if a piggy bank is stolen then you cant get the money inside it back.

Step-by-step explanation:

Answer:

P(x,y) reflection in x=y line:(y,x)

Answer:

Because tan represents [tex]\frac{opposite}{adjacent}[/tex] from θ (theta), the equation should be [tex]tan0[/tex]=[tex]\frac{15}{x}[/tex]. Let's leave this equation like that. Now, we need to find the unknown side length, x. We need to use Pythagorean Theorem, because we're given the other two side lengths. The equation should be [tex]x^{2}+15^{2}=17^{2}[/tex]. X should equal ±8 or 8, because a side length can't be a negative value. Now, we can plug in 8 into the equation to get [tex]tan0=\frac{15}{8}[/tex].

Answer:

3 gigabytes

Step-by-step explanation:

69.50 dollars + 5 dollars is 74.50 dollars add 5 dollars 79.50 add 5 dollars again and 84.50 Mark brainliest

Inequalities help us to compare two unequal expressions. Alexander can use 3 gigabyte of data to stay within his budget.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

Given that Alexander pays a flat cost of $69.50 per month and $5 per gigabyte. Therefore, the total amount that Alexander pays in a month for x Gb of data used is,

Total Bill amount = Fixed cost + Variable cost for x Gb of data

                            = $69.50 + $5x

Now, as Alexander wants to keep his bill under $85 per month. Therefore, we can write the inequality as,

Total Bill amount < $85

69.50 + 5x < 85

5x < 85 - 69.50

5x < 15.5

x < 15.5/5

x < 3.1

Therefore, Alexander can use 3 gigabyte of data to stay within his budget.

Learn more about Inequalities here:

https://brainly.com/question/19491153

#SPJ2

9514 1404 393

Answer:

  y +2 = (1/3)(x -6)

Step-by-step explanation:

When given a point and a slope, it is convenient to use the point-slope form of the equation for a line.

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

For your point and slope, this is ...

  y +2 = 1/3(x -6)

__

The slope of 1/3 means the graph has a "rise" of 1 for each "run" of 3:

  slope = m = rise/run = 1/3

A graph of it is attached.

Answer:

By using cross multiplication method, 1/2 is the difference between two fractions 5/6 and 1/3.

Step-by-step explanation:

Answer:

0.5

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]1\frac{1}{3}- \frac{5}{6}=\frac{1}{2}[/tex]

0.5

Answer:

A. f(x)= 8(2)^x

Step-by-step explanation:

hope that helped

Answer:

a. one-way within-groups ANOVA

Step-by-step explanation:

Here, the research question meets the conditions required for a one-way within group ANOVA. One way within group anova allows for comparison between the mean of three or more groups or levels of one independent variable on a dependent variable. In the scenario above, the one independent variable is stage of the season with levels : (pre-season, throughout active season and post season) and the dependent variable being the athletes academic performance. It is a within group ANOVA as all subjects are used to test each level of the independent variable. Which is different from between groups where different subjects are assigned to different groups.

Answer:

9:16

Step-by-step explanation:

The ratio of sides of the lengths of rectangles is 3:4.

That is :-

→ Ratio of Area = ( 3 : 4)²

→ Ratio of Area = (3/4)²

→ Ratio of Area = 9/16

→ Ratio of Area = 9:16

Answer:

38.48m squared

Step-by-step explanation:

Area = pi x radius squared

So

3.5 squared is 12.25

12.25 x pi is 38.48