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3 years ago

Use the Distance Formula to find the distance between (13, 1) and (9,- 4), rounded to the nearest hundredth.

Mathematics

1 answer:

valina [46]3 years ago

4 0

Answer:

about 6.40 units

Step-by-step explanation:

The distance formula is ...

d = √((x2 -x1)^2 +(y2 -y1)^2)

For the given points, the distance between them is ...

d = √((9 -13)^2 +(-4-1)^2) = √((-4)^2 +(-5)^2) = √(16 +25)

d = √41 ≈ 6.40

The distance between the points is about 6.40 units.

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X + y = 152, 8.5x + 12y = 1,656 How many hats were sold?

Elodia [21]

Answer:

x = 48 and y = 104

Step-by-step explanation:

Given equations are:

$x+y = 152\\8.5x+12y=1656$

From equation 1:

$x = 152-y$

Putting the value of y in equation 2

$8.5(152-y)+12y = 1656\\1292-8.5y+12y = 1656\\3.5y+1292 = 1656\\3.5y = 1656-1292\\3.5y = 364\\\frac{3.5y}{3.5} = \frac{364}{3.5}\\y = 104$

Now we have to put the value of y in one of the equation to find the value of x

Putting y = 104 in the first equation

$x+y = 152\\x+ 104 = 152\\x = 152-104\\x = 48$

Hence,

The solution of the system of equations is x = 48 and y = 104

The value of variable which was assumed for number of hats, is the total number of hats.

6 0

3 years ago

Past records indicate that the probability of online retail orders that turn out to be fraudulent is 0.08. Suppose that, on a gi

Sunny_sXe [5.5K]

Answer:

The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.

Step-by-step explanation:

We can model this with a binomial random variable, with sample size n=20 and probability of success p=0.08.

The probability of k online retail orders that turn out to be fraudulent in the sample is:

$P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{20}{k}\cdot0.08^k\cdot0.92^{20-k}$

We have to calculate the probability that 2 or more online retail orders that turn out to be fraudulent. This can be calculated as:

$P(x\geq2)=1-[P(x=0)+P(x=1)]\\\\\\P(x=0)=\dbinom{20}{0}\cdot0.08^{0}\cdot0.92^{20}=1\cdot1\cdot0.189=0.189\\\\\\P(x=1)=\dbinom{20}{1}\cdot0.08^{1}\cdot0.92^{19}=20\cdot0.08\cdot0.205=0.328\\\\\\\\P(x\geq2)=1-[0.189+0.328]\\\\P(x\geq2)=1-0.517=0.483$

The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.

5 0

3 years ago

Liliana is renting a beach house for a family vacation. The house charges a $75 cleaning fee plus $95 per night. If Liliana want

Elenna [48]

95n+75 is less than or equal to 645. 645-75=570. 95n is less than or equal to 570. 570/95=6. A maximum of six nights

6 0

3 years ago

Read 2 more answers

What to numbers can add up to 30 but multiply to 40?

saul85 [17]

I believe your answer will be 10 & 20, because they BOTH are multiples of 40, ANNNNNNNNNNNNNNNNND when added together they equal 30! =D
I hope I helped! =D

5 0

3 years ago

Which equation has exactly one solution in common with the equation y=6x-2?

evablogger [386]

A because i did the maths and its A

7 0

4 years ago