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dem82 [27]
3 years ago
13

Gloria earns 1.5 times her normal hourly pay for each hour that she works over 40 hours in a week. Here normal pay is $9.70 per

hour. Last week Gloria earned $489.85 How many hours did she work last week?
Mathematics
1 answer:
svetoff [14.1K]3 years ago
5 0
She earns ($9.70x40) for a 40 hour week=$388
She earned $489.85-$388 extra= $101.85
She gets paid $9.7x1.5 for every extra hour=$14.55
She worked $101.85/$14.55 hours extra=7hours
She worked 7+40 hours that week=47 hours
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This graph shows a proportional relationship.
Kamila [148]

Answer:

The constant of proportionality is 0.3, or K=0.3.

Step-by-step explanation:
The chart I attached shows points that are plotted on the proportional line. In order to find the constant of proportionality from these points, you have to divide the amount of change by the number of years. For example, 3 divided by 10 or 6 divided by 20. This results in 0.3, which means that every year, there is 0.3 centimeters of change in the sea level.

8 0
2 years ago
Birth weights in the United States are normally distributed with a mean of 3420 g and a standard deviation of 495 g. The Newport
s344n2d4d5 [400]

Answer:

P(2450

And we can find this probability with this difference:

P(-1.96

If we use the normal standard table or excel we got:

P(-1.96

And that represent 95% of the data. so then the percentage below 2450 is 2.5% and above 4390 is 2.5 %

Step-by-step explanation:

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

X \sim N(3420,495)  

Where \mu=3420 and \sigma=495

We are interested on this probability

P(2450

And we can use the z score formula given byÑ

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

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

P(2450

And we can find this probability with this difference:

P(-1.96

If we use the normal standard table or excel we got:

P(-1.96

And that represent 95% of the data. so then the percentage below 2450 is 2.5% and above 4390 is 2.5 %

6 0
3 years ago
The average score of this quiz is 24 points with a standard deviation of 1.5 points. What is the probability that someone scored
navik [9.2K]

Answer:

8.08 %

Step-by-step explanation:

Let us denote : X= score X follows a normal distribution with mean =24 and standard deviation =1.5

Step 2

The probability that someone scored 21.9 or less is :

\mathrm{P}(\mathrm{X} \leq 21.9)

=\mathrm{P}\left(\mathrm{Z} \leq \frac{21.9-24}{1.5}\right)

=\mathrm{P}(\mathrm{Z} \leq-1.4)

=0.0808

=8.08%

Answer : 8.08 %

7 0
3 years ago
Garth estimated the height of the door to his classroom in meters.what is a reasonable estimate?
insens350 [35]
A reasonable estimate is an educated guess made by an observer based on that person's current knowledge and following observations. For example, If Garth knew that he was 1.2 meters tall, and he observed that the door was approximately twice his own height, Garth could then make the reasonable estimate that the door is about 2.4 meters tall.
8 0
3 years ago
Solve for g : 3+2g=5g-9
KiRa [710]
3+2g=5g-9
5g-2g=3+9
3g=12
3g/3=12/3
g=4
5 0
3 years ago
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