Answer: x = 7
`Step-by-step explanation:
Because the figure shows two triangles that are similar. we can write and solve an equation of ratios:
9 cm 72 cm
----------- = -----------
3x - 20 56 cm
Cross-multiplying, we get (3x - 20)(72 cm) = (9 cm)(56 cm) = 504 cm²
Dividing both sides by 72 cm, we get:
3x - 20 = (504 cm²) / (72 cm) = 7
Then 3x - 20 = 7, and 3x = 27. Then x must be 9.
Answer:
(a) 0.5899
(b) 0.9166
Step-by-step explanation:
Let X be the random variable that represents the height of a woman. Then, X is normally distributed with
= 62.5 in
= 2.2 in
the normal probability density function is given by
, then
(a) 
= 0.5899
(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2)
(b) We are seeking 
where n = 37. 
is normally distributed with mean 62.5 in and standard deviation 
. So, the probability density function is given by
, and
= 0.9166
(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2/sqrt(37))
You can use a table from a book to find the probabilities or a programming language like the R statistical programming language.
Answer:
$95.89875
Step-by-step explanation:
The original price of the necklace is 119.5. And we are subtracting 25% from this. 119.5 - 25% = 119.5 - 1/4 since 25% is 25/100 which is also 1/4.
So without tax, the price of the necklace is 119.5 - 29.875 which is 89.625.
The tax is 7%. So we should add 89.625 to 7%. This is complicated, but it should result in 95.89875.
If we round this to the nearest cent, it should be <em>$95.9</em>.
Answer:
It is ................................................................. 1
Step-by-step explanation:
Formula for the area of a quarter circle: A = (pi x r^2) / 4
A = (3.14 x 64) / 4
A = 200.96 / 4
A = 50.24 square yards
Hope this helps! :)
