In a survey of 97 resorts, it was found that

In a city it snowed 3/5 meter on Saturday and 1/5 meter on Sunday how much more snow is needed on Monday to reach a total of 1 m

yawa3891 [41]

You do 4/5+1/5=4/5 and then you do 5/5-4/5=1/5 of a meter is needed.

5 0

3 years ago

An online store contacts 1000 customers from its list of customers who have purchased in the last year. In all, 696 of the 1000

Vlad1618 [11]

The population in this setting is(A) All customers who have purchased something in the last year.

Step-by-step explanation:

As it is given in the question that 1000 customers from the list of the customers who made a purchase last year.So the list refers to the population of the people who have made a purchase last year .

The 1000 customers are the sample of the population.

8 0

3 years ago

40. If l || m, find the measure of each missing angles.

ANTONII [103]

Answer:

∠1 = 93°

∠2 = 35°

∠3 = 52°

∠4 = 35°

∠5 = 93°

∠6 = 128°

∠7 = 52°

∠8 = 128°

∠9 = 52°

∠10 = 93°

∠11 = 87°

∠12 = 93°

Step-by-step explanation:

Here are some things you need to remember:

Supplementary angles are angles that sum up to 180° or they form a straight line.

Corresponding angles are congruent. Corresponding angles are angles that are in the same corner or the same side of the intersection.

Alternating angles are congruent. Alternating angles are angles found on alternate sides of the intersecting line. You have interior alternating angles, so these are alternating angles inside the parallel lines, and you have exterior alternating angles, angles found alternating outside the parallel lines.

Vertical angles are opposite angles made by two lines that intersect. Vertical angles are congruent or they have the same measure.

Attached are examples of each, so you can visualize it yourself.

Let's solve these angles with that in mind (let's show the easier ones first):

∠11 is vertical to the angle that measures 87°

This means that they are congruent. And so we know that

∠11 = 87°

∠10 is supplementary to angle that measures 87°

This means that if we add them up together, we will get 180°.

∠10 + 87° = 180°

Subtract 87° from both sides of the equation:

∠10 + 87° - 87° = 180° - 87°

∠10 = 93°

∠12 is vertical to ∠10

This means that ∠12 = ∠10

∠10 = 93°

∠12 = ∠10

∠12 = 93°

∠1 and ∠10 are corresponding angles.

So this means that they are congruent.

∠1 = ∠10

∠10 = 93°

∠1 = ∠93°

∠1 is vertical to ∠5

This means that they are congruent:

∠1 = ∠5

∠1 = 93°

∠5 = 93°

∠3 is vertical to the angle that measures 52°

This means that they are congruent:

∠3 = 52°

∠3 and ∠7 are corresponding angles.

This means that they are congruent.

∠3 = ∠7

∠3 = 52° by substitution we can say then:

52° = ∠7

∠7 and ∠9 are vertical angles.

This means that they are congruent:

∠7 = ∠9

∠7 = 52°

52° = ∠9

∠9 and ∠6 are supplementary. This means that their sum add up to 180°.

∠6 + ∠9 = 180°

∠9 = 52°

∠6 + 52° = 180°

Subtract both sides by 52°

∠6 + 52° - 52° = 180° - 52°

∠6 = 128°

∠6 and ∠8 are vertical angles:

This meas that they are congruent.

∠6 = ∠8

∠6 = 128°

128° = ∠8

∠3 combined with ∠4 is alternate (interior) to the angle that measures 87°

This means that if we add up ∠3 and ∠4 it will be equal to 87°

∠3 + 4 = 87°

∠3 = 52°

52° + ∠4 = 87°

Subtract 52° from both sides:

52° - 52° + ∠4 = 87° - 52°

∠4 = 35°

∠4 and ∠2 are vertical angles:

This means that they are congruent.

∠4 = ∠2

∠4 = 35°

35° = ∠2

4 0

4 years ago

The distance, d, an object travels is represented by the equation d = rt, where r represents the average rate of speed and t rep

Salsk061 [2.6K]

Answer:

B. seconds

Step-by-step explanation:

We have d=rt

means that t= $\frac{d}{r}$

Given the units of each:

d: feet

r: feet/second

Replace each with its unit:

t= $\frac{feet}{\frac{feet}{second} }$ = $\frac{feet.second}{feet}$ = second

So the unit of t is seconds (option B.)

4 0

2 years ago

Read 2 more answers

Delta Airlines quotes a flight time of 2 hours, 5 minutes for its flights from Cincinnati to Tampa. Suppose we believe that actu

gregori [183]

Answer: 0.5

Step-by-step explanation:

Given : Delta Airlines quotes a flight time of 2 hours, 5 minutes for its flights from Cincinnati to Tampa.

i.e. Flight time = 2(60) +5= 125 minutes [∵ 1 hour = 60 minutes]

Actual flight times are uniformly distributed between 2 hours and 2 hours, 20 minutes.

i.e. In minutes the flight times are between 120 minutes and 140 minutes.

Let x be a uniformly distributed variable in [120 minutes, 140 minutes] that represents the flight time.

Since the probability density function for x uniformly distributed in [a,b] is $f(x)=\dfrac{1}{b-a}$

⇒ Probability density function for flight time : $\dfrac{1}{140-120}=\dfrac{1}{20}$

5 minutes late than usual time = Flight time+ 5 = 125+5 = 130 minutes

Now , the probability that the flight will be no more than 5 minutes late will be :-

$\int^{130}_{120} \dfrac{1}{20}\ dx\\\\=\dfrac{1}{20}[x]^{130}_{120}\\\\= \dfrac{130-120}{20}\\\\=\dfrac{1}{2}=0.5$

Hence, the probability that the flight will be no more than 5 minutes late is 0.5.

3 0

3 years ago

Read 2 more answers