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aivan3 [116]
3 years ago
13

a nurse worked from 8:15 am until 11:30 am and 12:30 am until 4:15 pm. estimate the total number of hours worked

Mathematics
1 answer:
MAVERICK [17]3 years ago
4 0
Ok so lets work it out ( answer at the bottom in bold) 

11:30 - 8 :15 = 3:15 ( 3 hours and 1 5 minutes) 
and for the next part its a little trickky cause we are going from am to pm but we can work it out
so we know it will end in 45 because it takes 30 + 30 = 1 hour and it says 4: 15 so we know we need a 15 and 15 + 30= 45 
so now we will put 45 to the side but we now instead of having 12:30 we have 1 :00 pm and 4:00 pm
4:00 - 1 : 00 = 3 pm and now we take the 45 and add it to the 3:00 pm so 3:00 + 45 = 3:45 pm
and now we add our 2 end results 
3 :45  + 3:15 = 7 hours
The nurse worked 7 hours


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Find the slope of the graphed line.
gayaneshka [121]

Answer:

3/4 shall be our slope.

Step-by-step explanation:

You can solve the slope by doing this formula y₂ - y₁ / x₂ - x₁ = slope.

Your coordinates:

(-4,0) and (0,3)

You have to set up your formula:

3 is the y2 and 0 is the y1

3-0 for y so far.


Now, set up the x's

0 is our x2 more known as our second x

Then our x1 is -4

0 - (-4).

Our Formula:

3-0 / 0+4

**Notice the negatives canceled to a positive due to the rule.**

3/4 shall be our slope.

You could've also risen and run starting from (-4,0) to (0,3) to get a slope of 3/4.

5 0
2 years ago
Is it likely that the next 50 Sunday customers will spend an average of at least​ $40? Explain. Choose the correct answer below​
Brrunno [24]

Answer:

B. Yes it is likely. The probability that the next 50 Sunday customers will spend an average of at least​ $40 is P=0.0023.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>A grocery store’s receipts show that Sunday customer purchases have a skewed distribution with a mean of $32 and a standard deviation of $20.</em>

We have to assume certain conditions to calculate the probability that the next 50 Sunday customers will spend an average of at least​ $40.

First, this 50 purchases are representative of the total purchases made in the store (the same as saying it is a random sample).

Second, the 10% condition: the 50 sales represent less than 10% of all purchases.

Third, the sample of 50 sales is large enough to make an approximation to the normal distribution.

If all these conditions are met, we can approximate the probabiltity that the next 50 Sunday customers will spend an average of at least​ $40.

We have a sampling distribution, with mean 32 (equal to the population mean) and standard deviation:

\sigma_M=\dfrac{20}{\sqrt{50}}=\dfrac{20}{7.07}=2.83

Then, we calculate the z-score

z=\dfrac{X-\mu_M}{\sigma_M}=\dfrac{40-32}{2.83}=\frac{8}{2.83} =2.83

The probabilty can be calculated then as:

P(X_{50}>40)=P(z>2.83)=0.0023

5 0
3 years ago
4. A horizontal ellipse, centered at the origin has a major axis of 10 units and minor axis of 8 units. Write the
s2008m [1.1K]

Answer:

\frac{x^2}{25} +\frac{y^2}{16} =1

Step-by-step explanation:

For ellipses, the length of the major axis is represents as:

Major axis = 2a

where a is called the semi-major axis.

In this case since the major axis is equal to 10 units:

10=2a

solving for the semi-major axis a :

a=10/2\\a=5

and also the minor axis of an ellipse is represented as:

Minor axis = 2b

where b  is called the semi-minor axis.

Since the minor axis has a length of 8 units:

8=2b

solving for b:

b=8/2\\b=4

Now we can use the equation for an ellipse centered at the origin (0,0):

\frac{x^2}{a^2} +\frac{y^2}{b^2} =1

and substituting the values for a and b:

\frac{x^2}{5^2} +\frac{y^2}{4^2} =1

and finall we simplify the expression to get the equation of the ellipse:

\frac{x^2}{25} +\frac{y^2}{16} =1

5 0
3 years ago
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Crazy boy [7]

Answer:

5 1/3 + 9 2/3

Step-by-step explanation:

A number minus a negative number will be the same thing as addition

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3 years ago
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Ganezh [65]

Answer: Y = -x/2+2/3

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3 years ago
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