Ninety-nine is what percent of 150?

Answer:

• the hypotenuse side, c = 23.1 cm

• angle A = 41.26 ⁰

• angle B = 48.74 ⁰

Step-by-step explanation:

Given;

first leg of the right triangle, a = 15.21 cm

second leg of the right triangle, b = 17.34 cm

Angle C = 90 ⁰

The missing parameters;

• the hypotenuse side = c

• angle A

• angle B

Use Pythagoras theorem to calculate the missing side "c", which is the hypotenuse

c² = a² + b²

c² = (15.21)²  +  (17.34)²

c² = 532.02

c = √532.02

c = 23.1 cm

The missing angle A is calculated as;

The missing angle is calculated as;

B = 90⁰ - A

B = 90⁰ - 41.26⁰

B = 48.74⁰

Answer:

Actually, what you said you have so far is not correct.  The 2 correct answers are the 1st one (x + y = 15) and the 5th one (15x + 10y > 180)

Step-by-step explanation:

If tutoring French is x hours and scooping ice cream is y hours and he is going to work 15 hours for sure doing both, then we can add them together to get that x hours + y hours = 15 hours, or put simply:  x + y = 15.

Now we are going to throw in the added fun of the money he makes doing each.  The thing to realize here is that we can only add like terms.  So looking at the equation above, we have x hours of tutoring and y hours of scooping, so if we want to add them, we will add those number of hours together to get the total number of hours he worked, which we know to be 15.  The same goes for money.  If we add money earned from tutoring to money earned from scooping, we need that to be greater than the money he wants to earn which is 180 at least.  Because he wants to earn MORE than $180. we use the ">" sign.  Since he earns $15 an hour tutoring, that expression is $15x; since he earns $10 an hour scooping, that expression is $10y.  Now add them together (and you CAN because they are both expressions relating dollars to dollars) and set the sum > $180:

$15x + $10y > $180.  That's why your answer is not correct.  Use mine (with the understanding that you care about why yours is wrong and mine is correct) and you'll be fine.

Answer;

equal;  

Final answer:

To subtract numbers in scientific notation, both terms must be expressed in the same form. Convert 9.87 x 10^7 to 98.7 x 10^6, subtract 2.5 x 10^6 to get 96.2 x 10^6, and then convert this back to 9.62 x 10^7.

Explanation:

To solve the given problem 9.87 x 10^7 - 2.5 x 10^6, we need to make sure that both terms are in the same form of scientific notation. Here, the base (10) and the exponent (7 and 6) are already in the form of scientific notation. The next step is to perform the subtraction.

Because the two terms are not in the same order of magnitude, we cannot subtract directly. First convert them into the same form: 9.87 x 10^7 is the same as 98.7 x 10^6. Now, we can perform the subtraction: 98.7 x 10^6 - 2.5 x 10^6 = 96.2 x 10^6.

However, the typical form of scientific notation has just one digit before the decimal point, thus convert 96.2 x 10^6 back to 9.62 x 10^7.

Learn more about Scientific Notation here:

brainly.com/question/2005529

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Answer:

99.85% of American women have shoe sizes that are less than 12.67

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 8.2

Standard deviation = 1.49

Using the empirical rule, what percentage of American women have shoe sizes that are less than 12.67

12.67 = 8.2 + 3*1.49

12.67 is 3 standard deviations above the mean.

Since the normal distribution is symmetric, 50% of the measures are below the mean and 50% are above. Of those 50% above, 99.7% are between the mean and 12.67. So

0.5 + 0.997*0.5 = 0.9985

99.85% of American women have shoe sizes that are less than 12.67