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3 years ago

Calculate the distance between the points

Mathematics

1 answer:

Eddi Din [679]3 years ago

7 0

Step-by-step explanation:

the numbers are mixed can u plz ss it if u have it multiple choice or on a book

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A newspaper and three hot chocolates cost $7. Two newspapers and two hot chocolates cost $6. How much does one hot chocolate cos

pochemuha

Answer:

the cost of one hot chocolate is $2.

Step-by-step explanation:

Let x be the hot chocolate cost and y be the newspaper cost.

Given:

A newspaper and three hot chocolates cost $7

So, the equation is

$3x+y=7$ --------(1)

Two newspapers and two hot chocolates cost $6

So, the second equation is.

$2x+2y=6$ ---------(2)

Find one hot chocolate cost?

Solve equation 1 for y.

$3x+y=7$

$y=7-3x$

Put y value in equation 2

$2x+2(7-3x)=6$

$2x+14-6x=6$

$14-4x=6$

$-4x=6-14$

$-4x=-8$

negative sign is cancelled both side.

$x=\frac{8}{4}$

$x=2$

Therefore, the cost of one hot chocolate is $2.

3 0

3 years ago

Find the probability of each event.

jeka57 [31]

Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

The coin is fair, hence p = 0.5.

The coin is tossed 10 times, hence n = 10.

The probability that is lands tails up at least nine times is given by:

$P(X \geq 9) = P(X = 9) + P(X = 10)$

In which:

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

$P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098$

$P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.001$

Hence:

$P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0098 + 0.001 = 0.0108$

0.0108 = 1.08% probability of the coin landing tails up at least nine times.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

5 0

2 years ago

A water tank is filled to its capacity. It has a leak at the bottom through which water leaks at a constant rate. If y represent

Whitepunk [10]

Answer:

The answer is B.

Step-by-step explanation:

The tank initially had 1,200 gallons of water, which is leaking at the rate of 2.5 gallons per hour.

7 0

2 years ago

In a recent poll, 700 people were surveyed. 77% of them said they opposed the current war. How many people stated they were in o

MrRa [10]

Answer:

539

Step-by-step explanation:

6 0

3 years ago

two bike riders ride around in a circular path. The first rider completes one round in 15 minutes and the second rider completes

katrin2010 [14]

Answer:

Rider 1 does one round in 15 min, and will complete another in each consecutive multiple of 15 min

Rider 2 does one round in 18 min, and will complete another in each consecutive multiple of 18 min

Assuming that they start together, they will complete another round together in a time that is both multiples of 15min and 18 min.

Then we need to find the smallest common multiple between 15 and 18.

To smallest common multiple between two numbers, a and b, is equal to:

a*b/(greatest common factor between a and b).

Now, the greatest common factor between 15 and 18 can be found if we write those numbers as a product of prime numbers, such as:

15 = 3*5

18 = 2*3*3

The greatest common factor is 3.

Then the smallest common multiple will be:

(15*18)/3 = 90

This means that after 90 mins, they will meet again at the starting place.

3 0

3 years ago

Calculate ﻿the ﻿distance ﻿between ﻿the ﻿points ﻿

Calculate the distance between the points