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3 years ago

Abigail drove 84 miles in 4 hours. If she continued at the same rate, how far would she travel in 14 hours?

Mathematics

2 answers:

diamong [38]3 years ago

5 0

Answer:

210 miles

Step-by-step explanation:

84 divided by 4 equals 21

21 times 10 equals 210

KonstantinChe [14]3 years ago

3 0

Answer:

205 miles

Step-by-step explanation:

If the 14 hours is including the hours Abigail has already driven, then she would travel 121 miles for the six hours, for a combined total of 205 miles.

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Answer:B

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3 years ago

A student wants to find point C on the directed line segment from A to B on a number line such that the segment is partitioned i

olganol [36]

Answer:

Point C at (-18/7)

Step-by-step explanation:

Point A is at -6 and point B is at 2.

So, the distance between A and B = 2 - (-6) = 8

point C on the directed line segment from A to B on a number line such that the segment is partitioned in a ratio of 3:4.

Let the distance AC = x

∴ BC = 8 - x

AC : CB = 3 : 4

∴ $\frac{AC}{CB} =\frac{3}{4} = \frac{x}{8-x}$

Using cross multiplication

3 (8-x) = 4x

24 - 3x = 4x

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So, Point C = -6 + 24/7 = -18/7

Point C at (-18/7)

7 0

3 years ago

Read 2 more answers

Thirty percent of all customers who enter a department store will make a purchase. Suppose that 6 customers enter the store and

torisob [31]

Answer:

Step-by-step explanation:

Let's use binomial distribution, because we are interested in find the total number of successes in a sequence of n independent experiments.

In probability, a binomial distribution is used in a Bernoulli process. That is, a sequence of experiments of n independent trials, each asking a dichotomous question, that means it only has two answers. One answer is a success (probability: p) and the other is a failure (probability: 1-p). In this case, every customer who enters in the store is the experiment. If they make a purchase is a success event, taking into account that every purchase decision has to be independent.

$P(X=x) = C(n,x)p^{x} (1-p)^{n-x}$

x= total number of success

n= total number of experiments

p=probability of success on an indivual trial

$C(n,x) = \frac{n!}{x!(n-x)!}$

a) x= 5 ------> customers that make a purchase

n= 6 ------> total customers

p=0.3

$p(X=5)= C(6,5)(0.3)^{5} (1-0.3)^{6-5} \\p(X=5)=0.102$

b) At least 3 customers make a purchase. x ≥ 3

$P(X\geq 3)=1-P (X=0)-P(X=1)-P(X=2)\\P(X\geq 3)=1-(C(6,0)(0.3^{0})(0.7)^{6}) - (C(6,1)(0.3^{1})(0.7)^{5}) - (C(6,2)(0.3^{2})(0.7)^{4})\\ P(X\geq 3) = 1-0.11765-0.30253-0.32414\\P(X\geq3)= 0.2557$

c) At most 2 customers make a purchase. x ≤ 2

$P(X\leq2) = P(X=0) + P(X=1) + P(X=2)\\P(X\leq2) = (C(6,0)(0.3^{0})(0.7)^{6}) + (C(6,1)(0.3^{1})(0.7)^{5}) + (C(6,2)(0.3^{2})(0.7)^{4})\\P(X\leq2) = 0.11765-0.30253-0.32414\\P(X\leq2)=0.7443$

d)At least 1 customer makes a purchase. x ≥ 1

$P(X\geq 1)=1-P(X=0)\\P(X\geq 1)= 1-C(0,6)(0.3)^{0}(0.7)^{6} \\P(X\geq 1)= 1-0.11765 = 0.8824$

e)They must be kind to customers, always willing to help and give information about products clearly and honestly.

Have enough inventory and offer promotions for the purchase of more than one product

Have an agile payment system that avoids rows and delays in purchases.

6 0

3 years ago

6. Find the area of a triangle with sides a = 5, b = 8, and c = 11.

Colt1911 [192]

Hi, I’m Lena and I’ll be here to answer your question with a good-quality answer. If there's something I can improve, let me know! ツ

♡ Let’s look at the main important things that will lead you in the correct path.

♥ a + b usually = c! Unless the book asks you to find a specific variable, you will most likely be looking for c.

♥ A = bh/2! This is the formula for the area of a triangle. You can also read this as A = base * height/2. The good thing about this formula is you don't need a picture. You can write it as a * b or b * a!

♡ Now, let's solve!

♥ Plug the numbers into the formula: 5*8/2.

♥ Solve! In this case, we do not need c: 40/2 = 20.

Your answer should be 20! Please do not hesitate to ask me any questions.

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3 years ago

Kari has a box with brand new pencils that are all the same size. She has 1 yellow pencil, 5 blue pencils, and 5 red pencils. Sh

Lana71 [14]

Answer: 9

Step-by-step explanation:

1+5+5-2

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3 years ago