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nexus9112 [7]
3 years ago
13

What is the image of (-9,-1) after a dilation by a scale of 2 centered at the origin

Mathematics
1 answer:
Dafna1 [17]3 years ago
8 0
The answer is (-18, -2). Just multiply by 2!
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Freeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
REY [17]

Answer:

thanks!

Step-by-step explanation:

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Michael arranged his pennies in the following display what is the answer
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At a certain coffee shop, all the customers buy a cup of coffee; some also buy a doughnut. The shop owner believes that the numb
Zinaida [17]

Answer:

a) 0.2514

b) No

c) 0.2611

Step-by-step explanation:

For coffee cups sold daily

Mean(μ) = 320 cups

Standard deviation (σ) = 20 cups

For doughnut sold daily

Mean(μ) = 150 doughnut

Standard deviation (σ) = 12 doughnut

Let X be the random variable representing the number of cups.

Let y be the random variable representing the number of doughnuts.

a) The shop is opened everyday except Sunday's. This means that the shop is opened 6 times in a week.

The probability that he will sell more 2000 cups of coffee in a week = Pr(x>2000)

Using normal distribution

Z = (x - μ)/σ

Z = (2000 - 6(320))/6(20)

Z = (2000 - 1920) / 120

Z = 80/120

Z = 0.67

From the normal distribution table, 0.67 = 0.2486

Φ(z) = 0.2486

Recall that if Z is positive,

Pr(x>a) = 0.5 - Φ(z)

Pr(x>2000) = 0.5 - 0.2486

= 0.2514

b) On each cup of coffee, he makes a profit of 50 cents and makes a profit of 40 cents on each doughnut. We have 0.5x + 0.4y

Z = (x - μ) / σ

Z = (300 - (0.5*320 + 0.4*150)) / √0.5^2*20^2 + 0.4^2*12^2

Z = (300 - (160+60)) / √100+23.04

Z = (300 -220)/√123.04

Z = 80/11.09

= 7.02

Since 300 is more than 7 standard deviation from the mean and the value of z cannot be found in the normal distribution table, then he has NO reasonable chance to earn a profit more than 300.

c) The probability that on any given day he will sell a doughnut to more than half of his coffee customers = Pr(y - 0.5x > 0)

From normal distribution,

Z = (x - μ) / σ

Z = (0 - (150 - 0.5*320)) / √12^2 + 0.5^2*20^2

Z = (0 - (150 - 160)) / √144 + 100

Z = (0 -(-10))/√244

Z = 10/15.62

= 0.64

From the normal distribution table, 0.64 = 0.2389

Φ(z) = 0.2389

Recall that if Z is positive,

Pr(x>a) = 0.5 - Φ(z)

Pr(y - 0.5x >0) = 0.5 - 0.2389

= 0.2611

6 0
3 years ago
You spent $50 on supplies for the bake sale Each item sold for $2. After the sale , you had a profit of $180. How many items did
Sergio [31]
50+2x=180
-50. -50
2x=30
÷ = ÷
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6 0
3 years ago
Which is equivalent to​
Lera25 [3.4K]

Answer:

the answer is the one on the bottom

Step-by-step explanation:

I know you have choices so I'm hoping this is one of them.

The way you write the problem is really important for us to help you. I'm still not quite sure about where the x is in the problem. I'm thinking it is multiplied at the end. Sooooo here goes.

- sqrt (10) ^ (3/4) x

sqrt 10 is the same as 10 ^ (1/2)

- (10)^(1/2)^(3/4) x

multiply (1/2) and (3/4)

-(10)^(3/8) x

- eighth root(10^3) x

8 0
3 years ago
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