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Karo-lina-s [1.5K]
2 years ago
14

A data set is normally distributed with a mean of 27 and a standard deviation of 3.5.

Mathematics
1 answer:
VLD [36.1K]2 years ago
8 0

Answer: -0.57

Step-by-step explanation:

z-score: data - mean / standard deviation

25 - 27 / 3.5

= -0.57

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Seven different names were put into a hat. A name chosen 100 times. And the name Michael is chosen 9 times. What is experimental
iris [78.8K]

Answer:

Experimental probability = 9 / 100

Theoretical probability = 1/7

Step-by-step explanation:

The experimental probability of an event is written as :

P = number of times event occur / total number of trials

Experimental probability is based on the outcome of an experiment that has taken place.

Theoretical probability is based on expected outcome of an event.

P = number of expected or required outcomes / total possible outcomes

Experimental probability of choosing the name Michael is :

Number of times Michael is chosen / number of trials

Experimental probability = 9 / 100 = 0.09

Theoretical probability of choosing michael:

Number of names in hat = 7

Number of names called Michael in hat = required outcome = 1

P = 1 / 7

If the number of names in hat was different from 7, then the theoretical probability will change.

Also, if the number of times a name was chosen was different from 100, then number of trials will also change and hence, the experimental probability.

4 0
2 years ago
Write a problem that could be modeled with y=200(0.9).
Lunna [17]

First, I need to decide what equation this is like.

I believe this is y=mx.

We know that x is typically the input, and m is the constant function.

Y is the output.

So the original function may have been y=200x.

The only difference is now we've been given something to apply to the equation, in place of x.

2. <em>Imagine a cloning machine. Whatever you put in, you get a copy of, and the original thing you put in. Its function would be y=2x. Let's pretend we decided to put three things in; 3 would go where x is. </em>

<em>Y would be the result of 3 copies and their originals, or 2(3).</em>

<em>(6=2(3))</em>

<em>Now, when someone else decides to use the cloning machine, they may put any number in, but the only properties that will change are y and x, not m.</em>

<em>The function will remain y = 2x. Any number could go in place of x, and multiplying x by 2 will give you the y. As long as you have a different value for x, the y will never be the same.</em>

3. So now we have an understanding of what it means, we see that we have been given an x value to insert; an input.

A more practical example could be someting with money. This won't be entirely realistic, because we are dealing with a fraction of a number and another large number.

4. I decided to go with flour. I wanted the 200 to represent pennies, or cents. Before I landed on this, I looked up the cost of flour per pound. I found that the average is .43 dollars, which isn't terribly close to two dollars. But maybe the flour is high quality, so we can stick with that.

5. Seeing that this equation, y=200x, means we are charging 200 cents, or two dollars, we can write a problem from here.

Sylvia is in charge of selling home-harvested flour from an organic farm. She charges two dollars per pound of flower. Today, her next-door neighbors hope to buy a ninth of pound of flour, and they insist on paying with pennies. How many pennies do they need to pay for their order?

<em>Let me know if this helped, or if you have any questions! </em>

3 0
3 years ago
Brainly y=-1/3x+5 graph
Wewaii [24]

Answer:

The answer will be listed below.

Step-by-step explanation:

To graph the equation, first mark down your y-intercept which would be 5. Look at the y-axis and put a dot on 5. Now you must graph the slope of the line. To graph the slope, you would use rise/run (1/3). You would start on 5 and go up one and to the right three times. Keep repeating the process until you run out. Now draw the line through the dots and you did it!

8 0
2 years ago
A prism with a length of 4 inches, height of 4 inches, and width of 3 inches. How many more 1 in. cubes does the container need
-Dominant- [34]

There are 10 number of 1 cubic inches box required to fill the container completely.

<h3>What is a cuboid?</h3>

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

We have:

A prism with a length of 4 inches, height of 4 inches, and width of 3 inches.

The volume of the prism box = 4×4×3 = 48 cubic inches

Here some data are missing.

We are assuming there are 38 1 cubic inches box already in the big box.

So,

= 48 - 38

= 10

Thus, there are 10 number of 1 cubic inches box required to fill the container completely.

Learn more about the cuboid here:

brainly.com/question/9740924

#SPJ1

3 0
2 years ago
Use the given information to determine if the geometric series converges or
lana66690 [7]

Answer:

c) The series diverges. There is no sum.

Step-by-step explanation:

A geometric series is a series of the form:

S = \Sigma_{i=0}^{n} a\cdot r^{i}, \forall i \in \mathbb{N}_{O}

Where:

a - First term of the series, dimensionless.

r - Common ratio, dimensionless.

A geometric series converges only if |r| < 1. As r > 1, the geometric series diverges. Hence, the right answer is C.

8 0
3 years ago
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