In a survey at a local university, 43% of students say that they get less than the recommended eight hours of sleep per night. In a group of 3500 students, how many would you expect get eight or more hours of sleep per night?

Answer:

Step-by-step explanation:

the parallelogram will have equal distances from center to along each diagonal.  It is hard to explain with words and not being able to draw it.

So       2a+ 14 = 5a - 4     and     a = 2b

solve the frist equation for a  then the second equation for b

2a+ 14 = 5a - 4

      18 = 3a

        6 = a                        a = 2b       6 = 2b

                                                           3 = b

Answer:

Step-by-step explanation:

huh

Answer:

Step-by-step explanation:

y=13-3x

when x=0

y=13-3(0)

y=13

when x=1

y=13-3(1)

y=13-3

y=10

when x=2

y=13-3(2)

y=13-6

y=7

when x=3

y=13-3(3)

y=13-9

y=4

when x=4

y=13-3(4)

y=13-12

y=1

Answer: [tex]\dfrac{1}{8}[/tex]

Step-by-step explanation:

Given

On Saturday, Molly's family traveled [tex]\frac{5}{8}[/tex] of the total distance

On Sunday, they traveled one-third of the remaining distance.

Suppose the total distance is x

Distance traveled on Saturday is  [tex]\dfrac{5x}{8}[/tex]

Remaining distance is

[tex]x-\dfrac{5x}{8}=\dfrac{3x}{8}[/tex]

On Sunday, they travel

[tex]\dfrac{1}{3}\times \dfrac{3x}{8}=\dfrac{x}{8}[/tex]

fraction of total distance traveled on Sunday is  [tex]\dfrac{1}{8}[/tex]

Answer:

-8.4 and 2 2/9

Step-by-step explanation:

p/1.2=-7 /×1.2

p=-8.4

20/30=3/10y /×10/3

20/9=y=2 2/9

Answer:

A

Step-by-step explanation:

In the beginning, there was little or no private ownership. Cucumbers are a pretty interesting example. We had an exchange student who said all the cucumbers were raised on one collective the size of 10 sections. He didn't know how many people were on that farm but it employed many people. The farm was located near a very large city so transportation was not a problem. The state owned the farm.

The second one is a result of the first one. Collectives are not meant to benefit the individual. They benefit everyone.

Three is a characteristic of free enterprise.

A: I and II

Answer:

a.

I and II

Step-by-step explanation:

Answer:

p = 32       o = 148       q = 148

Step-by-step explanation:

Answer:

y=mx+C

or

y= m(x-x1)+y1

Answer:

3.5 works because 18-1.666 (2/3) X 3.5 = 12.169 which is less than 15.

4.5 works because 18-1.666 (2/3) X 4.5 = 10.503 which is also less than 15.

8.0 works because 18- 1.666 (2/3) X 8.0 = 4.672 which is also less than 15.

By looking at the number line included 4.5 is the only choice that is included in the shaded line part. So I think that that is the correct answer here.

Step-by-step explanation:

Hope that this helps! :)

Have a great rest of your day/night!

Answer:

She has to drink 0.05 liters more

Step-by-step explanation:

She has to drink 2.5 liters of water each day.

The total amount of water she  drank  is

3/4 liters + 0.6 liters + 1.1 liters + x liters = 2.5 liters

0.75 liters + 0.6 liters + 1.1 liters + x liters = 2.5 liters

2.45 liters + x liters = 2.5 liters

x liters = 2.5 liters - 2.45 liters

x liters = 0.05 liters

She has to drink 0.05 liters more  or has not drunk 0.05 liters.

If she drinks 0.05 liters more she will reach her set goal.

3/4 liters

1 liter= 1000ml

3/4 liters= 3* 1000/4 ml

3/4 liters= 3000/4 ml

3/4 liters= 750  ml

750 ml/ 1000ml = 0.75 liters

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

16°

Step-by-step explanation:

Reference angle = [tex] \theta [/tex]

Side Opposite to reference angle = 14

Adjacent side = 48

Hypotenuse = 50

Let's apply arcsin:

Thus:

[tex] \theta = sin^{-1}(\frac{Opp}{Hyp}) [/tex] (recall: SOHCAHTOA)

Plug in the values

[tex] \theta = sin^{-1}(\frac{14}{50}) [/tex]

[tex] \theta [/tex] = 16.2602047° = 16°

Answer:

B

Step-by-step explanation:

Complementary angles sum to 90° then the other angle is

90° - 52° = 38°

Answer:

B 38°

Step-by-step explanation:

complementary angles are two angles that up to 90°, since we know one is 52°, 90-52=38, so your answer is 38

Respuesta:

Alfredo = 59 pegatinas

Ivan = 23 pegatinas

Explicación paso a paso:

Dejar :

Pegatinas de Alfred = a

Pegatinas de Ivan = b

a = b + 36 - - - (1)

a + 10 = 3b- - - (11)

De 1)

a = b + 36

Ponga a = b + 36 en (11)

b + 36 + 10 = 3b

b + 46 = 3b

46 = 3b - b

46 = 2b

b = 23

a = b + 36

a = 23 + 36

a = 59

Alfredo = 59 pegatinas

Ivan = 23 pegatinas

Answer:

The value of the machinery after 5 years is $236.20

Step-by-step explanation:

Generally, we have the depreciation exponential expression as;

V(t) = I (1 - r)^t

V(t) is the value of the machinery at a point in time

I is the initial value or the cost of the machinery when bought which is $400

r is the rate of decrease which is 10% and is same as 10/100 = 0.1

t is the time which is 5 years

Substituting these values;

V(5) = 400( 1 - 0.1)^5

V(5) = 236.196

to the nearest vent, this is $236.20

Answer:

C

Step-by-step explanation:

as stated by the questions, the client has a budget of $250, which means we can't exceed $250. This will be our y (dependent variable, as the cost for y depends on how many bouquets we will purchase).

the bouquets cost 14.95 each, so if we have x bouquets , that means that the cost will be 14.95x (independent variable, as this gives the value of y).

therefore, the equation is 250=14.95x, which is C

but let's do process of eliminiation to double check:

if we look at the options, B and D are out (the cost of the bouquets isn't $250 each and also we can't have 250 bouquets , that would be too expensive for the client).

that leaves A and C

A isn't the correct answer. At first glance, it looks like we just switched x and y around. However, it cannot work because x is always the independent variable while y is the dependent variable (the value of y depends on the value of x, while the value of x doesn't depend on y).

Also, there's no mention of the $250 budget in A

by process of elimination and by the explanation above C is the correct answer.

Hope this helps!

Answer:

Question 9

Option A

Question 10

Option A

Answer:

12

Step-by-step explanation:

Answer:

2.87units

Step-by-step explanation:

Find the diagram attached

The length of MP can be gotten using the pythagoras theorem

LP² = LM² + MP²

8.5² = 8² + MP²

72.25 = 64 + MP²

MP² = 72.25 - 64

MP² = 8.25

MP = √8.25

MP = 2.87units

Hence the length of MP is 2.87units

The measure of central angle LOP is 180°. The length of LP = 17 units. The length of MP = 15 units.

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

The given is given in the question, as shown.

As per the question, we can see that

The measure of central angle LOP is 180°.

LM = 8 units

LP = 2OP

LP = 2(8.5)

LP = 17 units

So the length of LP = 17 units.

As we know that the Pythagorean Theorem,

LP² = LM² + MP²

17² = 8² + MP²

289 = 64 + MP²

MP² = 289 - 64

MP² = 225

MP = 15 units

Thus, the length of MP = 15 units.

Learn more about Pythagoras' theorem here:

brainly.com/question/343682

#SPJ2

The question seems incomplete, the missing part has been attached below

Answer:

y=10, x=7

Step-by-step explanation:

Since the diagonals of a parallelogram bisect each other, PT should be equal to TR and QT should be equal to TS. So, y=x+3 and 2y=3x-1. Multiplying the first equation by 3 gives you 3y=3x+9. Using elimination to subtract these two equations gives you y=10. And since y=x+3, substitute y=10 there. 10=x+3, x=7.

Answer:

6) 33

7) 26.5

..................

Answer:

D

Step-by-step explanation:

By looking at this scatter plot we can see that the points generally go down when looking at the graph from left to right.

This somewhat straight line that is created is going in a negative direction.

That means that it is not only a linear finction, but is also negative.

Answer:

well this is obviusly 50% chance because 100 divided by 2 is 50

Brainliest plezzzz ;)

Step-by-step explanation:

The events below will have an equally likely chance of happening. If an event has a 50% chance of happening.

Probability which is derived theoretically, irrespective of what outcome comes, is called theoretical probability.

Probability which is based on the outcomes of experiments performed is called experimental probability.

Suppose we want to find the probability of an event E.

where favorable cases are those elementary events that belong to E, and total cases are the size of the sample space.

The events below will have an equally likely chance of happening.

If an event has a 50% chance of happening

Learn more about experimental and theoretical probabilities here:

https://brainly.com/question/27498092

#SPJ2

well this is obviusly 50% chance because 100 divided by 2 is 50

Answer:

C

1/2 of the circle which means half is blue!

please give brainliest!

c. 1/2

its that answer only because the grey side is half and half is also 1/2 and since its shaded its one half. get it?

Answer:

14

Step-by-step explanation:

25 percent of 56 is 14

Step-by-step explanation:

100%=56

1%=56÷100=0.56

25%=0.56×25=14

Answer:

???

Step-by-step explanation:

Please put down the answer choices?? Cant help much