Answer: 28 hours
Step-by-step explanation:
Hi, the cost for the trampoline park without a membership is equal to the price of the jump tickets per hour (12) multiplied by the number of hours (h).
Cost without membership= 12h
With the membership the price of each jump ticket has a 15% discount ( so, 100-15 =85% of the total price ). To calculate the cost for this case we have to add the cost of the membership 50, and multiply the cost of each jump ticket (12) by 0.85 (percentage in decimal form)
Cost with membership = 50 +12 (0.85) h
If both cost are equal:
50 +12 (0.85) h = 12 h
Solving for h
50+10.2h =12h
50= 12h-10.2h
50= 1.8h
50/1.8= h
27.78 =h
h =28 (rounded)
Answer:
2.03403 * 10^2
Step-by-step explanation:
Here, we want to write the given number in standard form
Firstly, we need to write the number in the normal form;
Mathematically, that will be;
203.403
Now, to write in standard form, we move the zero to the back of the first non-zero digit which is 2
What we have in this case will be:
2.03403
How many times did we move the decimal point?
The decimal point was moved two times
So, what we have is that the number two will become a power of 10
So therefore, we have it that;
2.03403 * 10^2
Kindly note that if the movement was to the left, the power becomes a negative number on 10
Answer:
Standard deviation is 25.4
Step-by-step explanation:
The standard deviation is a metric that determines the variance a set of data has both above and below the mean. A standard deviation of 25.4 means that the values in a given data set are dispersed in a range of 25.4 units both above and below the mean.
The standard error refers to the Standard Error of the Mean (SEM) which measures the precision of the mean in terms of how much a sample mean is likely to differ from the population mean. By using SEM, individuals can estimate how sure they can be that the mean of the sample reflect the true mean of the population. The standard error always is lower than the standard deviation. Since, 25.4 is the higher number, this number would be the standard deviation.
Answer:
Each strip is 117.6 cm
Step-by-step explanation:
I created a proportion of hearts to others. On strip A there is 1 heart to 2 others and B there is 1 heart to 3 others. I added them and got a proportion of 2 hearts to 5 others for both. With a total of 56 hearts, I set up a proportion to determine the total stickers
2/5=56/x
When I cross multiply, I get 2x=280 and x=140
so for the 56 total hearts, I have 140 others. I added those to get the total stickers and got 196. I multiplied that by 1.2cm and got 235.2 cm for both. Since both are the same size, just divide that by 2 and get 117.6 cm each.
Answer:
Step-by-step explanation:
If our interval is between 0 and 90 degrees, that means that our angles are first quadrant angles. Since the formulas for the half angles of sin and cos consider both the positive and negative roots, knowing that we are in QI leaves us using only the principle, or positive, root.
Also, if we know that the sin of angle is 3/4, we can set up a right triangle in QI and find the missing side of that triangle using Pythagorean's Theorem. Sin of an angle is the ratio opposite side/hypotenuse. That means that, according to Pythagorean's Theorem,
and
and
Now for the forula for the sin of a half-angle:
Referring to the right triangle we created and found the missing side for, we see that the cosine of that same triangle is 
Filling in the formula then:
Get a common denominator on the upper fraction:
Bring up the 2 as 1/2 to multiply and get:
When you do the exact same thing to find the cos of the half angle, you are using a + sign instead of a - sign under the radical. That gives you as your exact value:
