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Step2247 [10]
3 years ago
5

What is the quotient? $18,360 ÷ 1000

Mathematics
1 answer:
Lynna [10]3 years ago
5 0

Answer:

the quotient is $18.36

Step-by-step explanation:

$18,360/1000

$18.36

the quotient of $18,360÷1000 is equal to $18.36

You might be interested in
Which does NOT represent a function <br> a<br> b<br> c<br> d
mote1985 [20]

the answer is d
hope this helps
6 0
3 years ago
Find the line y=a+bxy=a+bx which best approximates the data points (−3,−5),(−2,−17),(−1,−26),(1,−51),(2,−65).
dimaraw [331]

Answer:

y=-11.88x-39.93

Step-by-step explanation:

Plot the data

\begin{array}{cc}x&y\\-3&-5\\-2&-17\\-1&-26\\1&-51\\2&-65\end{array}

on the coordinate plane using graphing calculator. Then use linear approximation y=ax+b and determine that a=-11.88, b=-39.93.

The line that best fits these data is

y=-11.88x-39.93.

3 0
3 years ago
A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distribut
labwork [276]

Answer:

a) P(X>8)=P(\frac{X-\mu}{\sigma}>\frac{8-\mu}{\sigma})=P(Z>\frac{8-7.6}{0.4})=P(Z>1)

And we can find this probability using the complement rule and the standard normal table or excel:

P(Z>1)=1-P(Z

b)P(X

And we can find this probability using the standard normal table or excel:

P(Z

c) For this case we have a total of 868 cups and we know that the fraction of cups that will be overflow is 0.159, so then the expected number of cups overflow would be:

N = 868*0.159= 138.012 \approx 138

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Part a

Let X the random variable that represent the amount of soft frink of a population, and for this case we know the distribution for X is given by:

X \sim N(7.6,0.4)  

Where \mu=7.6 and \sigma=0.4

We are interested on this probability

P(X>8)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>8)=P(\frac{X-\mu}{\sigma}>\frac{8-\mu}{\sigma})=P(Z>\frac{8-7.6}{0.4})=P(Z>1)

And we can find this probability using the complement rule and the standard normal table or excel:

P(Z>1)=1-P(Z

Part b

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability using the standard normal table or excel:

P(Z

Part c

For this case we have a total of 868 cups and we know that the fraction of cups that will be overflow is 0.159, so then the expected number of cups overflow would be:

N = 868*0.159= 138.012 \approx 138

6 0
4 years ago
An automobile retailer calculates that its loss on the sale of Type M cars is given by L(50) = 8,000 and L'(50) = −500, where L(
Anika [276]

Answer:

The loss on the sale of 50 type M cars is $8000, and the loss is decreasing at the rate of $500 per 50 type M car sold.

Step-by-step explanation:

Given

L(50) = 8000

L'(50) = -500

Required

Interpret

From the question, we understand that:

x \to Number of cars

L(x) \to Profit on x cars

Using the above as a point of reference,

L'(x) \to Rate of loss per x cars

So, the interpretations are:

L(50) = 8000

A loss of 8000 on 50 cars

L'(50) = -500

The loss rate is a reduction of 500 per 50 car

3 0
3 years ago
Factorize completely (2x+2y) (x-y)+(2x-2y)(x+y)​
larisa86 [58]
Answer: See below

Explanation:

(2x + 2y)(x - y) + (2x - 2y)(x+y)
= 2(x+y)(x-y) + 2(x-y)(x+y)
= 2(x^2 - y^2) + 2(x^2 - y^2)
= (2 + 2)(x^2 - y^2) (combine like terms)
= 4(x^2 - y^2)
8 0
3 years ago
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