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Triss [41]
3 years ago
9

Lara and Tim took different routes to travel from Point A to Point C. Lara took the route along A, B, and C. Tim took the route

along A, E, D, and C. Their routes with distances and times are shown.
Which person's average speed is greater?

Mathematics
2 answers:
GalinKa [24]3 years ago
8 0

Answer:

Tim is a shorter route lara is greater!

Step-by-step explanation:

Nitella [24]3 years ago
5 0

Answer: Tim's average speed is greater

====================================================

Explanation:

Lara traveled a total distance of

AB+BC = (6 miles)+(2 miles) = 8 miles

and did so in

(1.5 hours)+(1 hour) = 2.5 hours

Plug those values into the formula

r = d/t

and we get

r = (8 miles)/(2.5 hours)

r = (8/2.5) mph

r = 3.2 mph

Lara's average speed is 3.2 mph

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

We'll follow the same steps for Tim as well

total distance = AE+ED+DC

total distance = (2 mi)+(4 mi)+(6 mi)

total distance = 12 miles

total time = (0.5 hr)+(1.5 hr)+(1.5 hr)

total time = 3.5 hours

rate = distance/time

r = d/t

r = (12 miles)/(3.5 hours)

r = (12/3.5) mph

r = 3.42857 mph approximately

Tim's average speed is roughly 3.42857 mph. We see that he has the greater average speed.

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For consumers making purchases online, 60% have devices made by Apple, 85% own a smartphone, and 75% use Venmo. Also, out of the
kompoz [17]

Answer:

The probability that a customer selected at random has an Apple device or own a smartphone or both is 0.94

Step-by-step explanation:

The percentage of costumers that have a device made by Apple = 60%

The percentage of customers that own a smartphone = 85%

The percentage of customers that use Venmo = 80%

The percentage out of the smartphone users that use Venmo = 80%

The probability both independent events A and B occurring = P(A) × P(B)

The exclusive probability of A or B occurring P(A XOR B) = P(A) + P(B) - 2 × P(A ∩ B)

Therefore, the probability of A or B or both occurring is given as follows;

P(A or B or Both) = P(A) + P(B) - 2 × P(A ∩ B) + P(A) × P(B)

Where A represent the percentage of costumers that have a device made by Apple and let B represent the percentage of users that have a smartphone, we have;

P(A or B or Both) = 0.6 + 0.85 - 2×0.6×0.85 + 0.6 × 0.85 = 0.94

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5 0
3 years ago
The regular price rounded to the nearest cent
Daniel [21]

Answer:

$189.43

Step-by-step explanation:

To find the original price, write a proportion. In your proportion, write one ration that has sale price over original price. The other ratio should be written with the corresponding percent values. Since the sale price is 65% off then you paid 35% of the regular the price. The proportion should be:

\frac{66.30}{x}= \frac{35}{100}

To solve cross multiply numerator and denominator of each fraction.

66.30(100) = x(35)

6630 = 35x

189.43 = x

This means the regular price is $189.43.

3 0
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Levart [38]

Answer:

Joy definitely does have enough soup for 22 people.


Step-by-step explanation:

Upper Bound: 285ml  turn it to 0.285 L                      10÷2=5

280ml  :

Lower Bound: 275ml turn it  to 0.275 L

Upper Bound: 6.75 L                           0.5÷2=0.25

6.5 Litters  :

Lower Bound:6.25  L

6.75÷0.275=24.54 or 25  

6.25÷0.285=21.92 or 22

7 0
3 years ago
Read 2 more answers
Find the tenth term of the expansion (x+ y)¹³
Anon25 [30]

Answer:

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Step-by-step explanation:

Given

(x + y)^{13

Required

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Using binomial expansion, we have:

(a + b)^n = ^nC_0a^nb^0 + ^nC_1a^{n-1}b^1 + ^nC_2a^{n-2}b^2 +.....+^nC_na^{0}b^n

For, the 10th term. n = 9

So, we have:

(a + b)^n = ^nC_{9}a^{n-9}b^{9

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Apply combination formula

(x + y)^{13} = \frac{13!}{(13-9)!9!}x^4y^9

(x + y)^{13} = \frac{13!}{4!9!}x^4y^9

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(x + y)^{13} = \frac{13*12*11*10}{4!}x^4y^9

(x + y)^{13} = \frac{13*12*11*10}{4*3*2*1}x^4y^9

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Hence, the 10th term is 715x^4y^9

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Minchanka [31]

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