Answer:
x⁰ = 45⁰
Step-by-step explanation:
As it is given that the 2 sides of a triangle are equal, then it is an isosceles triangle.
Now, by applying the Triangle Sum Property,
x⁰ + 90⁰ + 45⁰ = 180⁰
x⁰ = 180⁰ - 135⁰
x⁰ = 45⁰
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em> </em><em> </em><em>:</em><em>)</em>
Answer:
The P-value for this test is P=0.2415.
Step-by-step explanation:
We have to perform an hypothesis testing on the mean of alla account balances.
The claim is that the mean of all account balances is significantly greater than $1,150.
Then, the null and alternative hypothesis are:

The sample size is n=20, with a sample mean is 110 and standard deviation is 125.
We can calculate the t-statistic as:

The degrees of freedom fot this test are:

For this one-tailed test and 19 degrees of freedom, the P-value is:

Answer:11.7
Step-by-step explanation:
1. Recognize variables. Starting price is 9, it’s increasing by 1.5% each year, the question asks for the price in 20 years.
2. Convert percentage to decimal. Most calculators won’t understand multiplying by percentages, and instead will understand multiplying by decimals. A decimal is something we can easily work with. It is more commonly taught to work with decimals as well. With that said 1.5% equals .015. (The number in the ones place in the percentage is always in the hundredths place when converted to a decimal, the tens to the tenths, the hundreds in the percentage to the ones place in the decimal, the hundredths in the percentage to the ten thousandths in the decimal. Basically, every individual number [the 5 in 1.5] moves two spaces to the right when going from percentage to decimal form, likewise two to the left going from decimal to percentage form. 23%=.23, 104%=1.04, 0.5%=.05, 1.234%=.01234)
3. Make your equation
20(9*(.015))+9
+9 is your starting point
9*(.015) gives you the amount the price increases per year
20 is multiplied then to that increased price for the next 20 years
4. Crunch em numbers
PEMDAS
Answer:

Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of the sector minus the area of the triangle
step 1
Find the area of the circle
the area of the circle is equal to

we have

substitute


step 2
Find the area of the sector
we know that
The area of the circle subtends a central angle of 360 degrees
so
by proportion find out the area of a sector by a central angle of 72 degrees

step 3
Find the area of triangle
The area of the triangle is equal to

step 4
Find the area of the shaded region
Subtract the area of the triangle from the area of the sector

Answer:

Step-by-step explanation:
You move the decimal place over 6 times for the first equation and 5 for the second equation.
Hope this helps! Have a great day! :)